%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SCT171+6 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n017.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 17:43:01 EDT 2024

% Result   : Theorem 1.01s 1.19s
% Output   : Proof 1.01s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.25/0.26  % Problem    : SCT171+6 : TPTP v8.2.0. Released v5.3.0.
% 0.25/0.26  % Command    : do_cvc5 %s %d
% 0.27/0.47  % Computer : n017.cluster.edu
% 0.27/0.47  % Model    : x86_64 x86_64
% 0.27/0.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.27/0.47  % Memory   : 8042.1875MB
% 0.27/0.47  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.27/0.47  % CPULimit   : 300
% 0.27/0.47  % WCLimit    : 300
% 0.27/0.47  % DateTime   : Mon May 27 17:33:09 EDT 2024
% 0.27/0.48  % CPUTime    : 
% 0.59/0.92  %----Proving TF0_NAR, FOF, or CNF
% 1.01/1.19  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.01/1.19  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.eqMaYmvC2s/cvc5---1.0.5_11148.smt2
% 1.01/1.19  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.eqMaYmvC2s/cvc5---1.0.5_11148.smt2
% 1.01/1.19  (assume a0 (= (tptp.ti (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.arrow_2037941124le_IIA) tptp.arrow_2037941124le_IIA))
% 1.01/1.19  (assume a1 (= (tptp.ti (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.arrow_2064824852le_Lin) tptp.arrow_2064824852le_Lin))
% 1.01/1.19  (assume a2 (= (tptp.ti (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.arrow_1111136790e_Prof) tptp.arrow_1111136790e_Prof))
% 1.01/1.19  (assume a3 (= (tptp.ti (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) tptp.arrow_14103264_above) tptp.arrow_14103264_above))
% 1.01/1.19  (assume a4 (= (tptp.ti (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) tptp.arrow_1322701812_below) tptp.arrow_1322701812_below))
% 1.01/1.19  (assume a5 (= (tptp.ti (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) tptp.arrow_218898985ctator) tptp.arrow_218898985ctator))
% 1.01/1.19  (assume a6 (= (tptp.ti (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_1278947948_mkbot) tptp.arrow_1278947948_mkbot))
% 1.01/1.19  (assume a7 (= (tptp.ti (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_1427655034_mktop) tptp.arrow_1427655034_mktop))
% 1.01/1.19  (assume a8 (= (tptp.ti (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.arrow_831799591nimity) tptp.arrow_831799591nimity))
% 1.01/1.19  (assume a9 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_b X_c) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_c))) (tptp.combb X_b X_c X_a)) (tptp.combb X_b X_c X_a))))
% 1.01/1.19  (assume a10 (forall ((X_a $$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))))
% 1.01/1.19  (assume a11 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun X_a X_a) (tptp.combi X_a)) (tptp.combi X_a))))
% 1.01/1.19  (assume a12 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun X_a (tptp.fun X_b X_a)) (tptp.combk X_a X_b)) (tptp.combk X_a X_b))))
% 1.01/1.19  (assume a13 (forall ((X_a $$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))))
% 1.01/1.19  (assume a14 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.finite_card X_a)) (tptp.finite_card X_a))))
% 1.01/1.19  (assume a15 (forall ((X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.finite_finite_1 X_b)) (tptp.finite_finite_1 X_b))))
% 1.01/1.19  (assume a16 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun X_a tptp.nat) (tptp.fun tptp.nat (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat)))) (tptp.finite_fold_image tptp.nat X_a)) (tptp.finite_fold_image tptp.nat X_a))))
% 1.01/1.19  (assume a17 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun (tptp.fun X_b X_a) (tptp.fun (tptp.fun (tptp.fun X_b tptp.bool) X_a) tptp.bool)))) (tptp.finite908156982e_idem X_a X_b)) (tptp.finite908156982e_idem X_a X_b))))
% 1.01/1.19  (assume a18 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.in_rel X_a X_b)) (tptp.in_rel X_a X_b))))
% 1.01/1.19  (assume a19 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.inj_on X_a X_b)) (tptp.inj_on X_a X_b))))
% 1.01/1.19  (assume a20 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool))) (tptp.pi X_a X_b)) (tptp.pi X_a X_b))))
% 1.01/1.19  (assume a21 (forall ((X_a $$unsorted)) (=> (tptp.one X_a) (= (tptp.ti X_a (tptp.one_one X_a)) (tptp.one_one X_a)))))
% 1.01/1.19  (assume a22 (forall ((X_a $$unsorted)) (=> (tptp.monoid_add X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.plus_plus X_a)) (tptp.plus_plus X_a)))))
% 1.01/1.19  (assume a23 (forall ((X_a $$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)))))
% 1.01/1.19  (assume a24 (forall ((X_a $$unsorted)) (=> (tptp.cancel_semigroup_add X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.plus_plus X_a)) (tptp.plus_plus X_a)))))
% 1.01/1.19  (assume a25 (forall ((X_a $$unsorted)) (=> (tptp.zero X_a) (= (tptp.ti X_a (tptp.zero_zero X_a)) (tptp.zero_zero X_a)))))
% 1.01/1.19  (assume a26 (forall ((X_a $$unsorted)) (= (tptp.ti X_a (tptp.undefined X_a)) (tptp.undefined X_a))))
% 1.01/1.19  (assume a27 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_b X_a))) (tptp.hilbert_inv_into X_a X_b)) (tptp.hilbert_inv_into X_a X_b))))
% 1.01/1.19  (assume a28 (forall ((X_a $$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))))
% 1.01/1.19  (assume a29 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (= (tptp.ti (tptp.fun X_a tptp.bool) (tptp.ring_1_Ints X_a)) (tptp.ring_1_Ints X_a)))))
% 1.01/1.19  (assume a30 (= (tptp.ti (tptp.fun tptp.nat tptp.nat) tptp.suc) tptp.suc))
% 1.01/1.19  (assume a31 (forall ((X_a $$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)))))
% 1.01/1.19  (assume a32 (forall ((X_b $$unsorted)) (=> (tptp.ord X_b) (= (tptp.ti (tptp.fun X_b (tptp.fun X_b tptp.bool)) (tptp.ord_less_eq X_b)) (tptp.ord_less_eq X_b)))))
% 1.01/1.19  (assume a33 (forall ((X_a $$unsorted)) (=> (tptp.top X_a) (= (tptp.ti X_a (tptp.top_top X_a)) (tptp.top_top X_a)))))
% 1.01/1.19  (assume a34 (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))))
% 1.01/1.19  (assume a35 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.fun (tptp.product_prod X_b X_c) X_a)) (tptp.product_prod_rec X_b X_c X_a)) (tptp.product_prod_rec X_b X_c X_a))))
% 1.01/1.19  (assume a36 (forall ((X_a $$unsorted)) (=> (tptp.linorder 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)))))
% 1.01/1.19  (assume a37 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.collect X_a)) (tptp.collect X_a))))
% 1.01/1.19  (assume a38 (forall ((X_b $$unsorted) (X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool))) (tptp.image X_b X_a)) (tptp.image X_b X_a))))
% 1.01/1.19  (assume a39 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool))) (tptp.sum_Plus X_a X_b)) (tptp.sum_Plus X_a X_b))))
% 1.01/1.19  (assume a40 (= (tptp.ti tptp.bool tptp.fFalse) tptp.fFalse))
% 1.01/1.19  (assume a41 (= (tptp.ti (tptp.fun tptp.bool tptp.bool) tptp.fNot) tptp.fNot))
% 1.01/1.19  (assume a42 (= (tptp.ti tptp.bool tptp.fTrue) tptp.fTrue))
% 1.01/1.19  (assume a43 (= (tptp.ti (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) tptp.fconj) tptp.fconj))
% 1.01/1.19  (assume a44 (= (tptp.ti (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) tptp.fdisj) tptp.fdisj))
% 1.01/1.19  (assume a45 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fequal X_a)) (tptp.fequal X_a))))
% 1.01/1.19  (assume a46 (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))))
% 1.01/1.19  (assume a47 (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))))
% 1.01/1.19  (assume a48 (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))))
% 1.01/1.19  (assume a49 (forall ((B_1_1 $$unsorted)) (= (tptp.hBOOL (tptp.ti tptp.bool B_1_1)) (tptp.hBOOL B_1_1))))
% 1.01/1.19  (assume a50 (forall ((X_a $$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))))
% 1.01/1.19  (assume a51 (= (tptp.ti (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.f) tptp.f))
% 1.01/1.19  (assume a52 (= (tptp.ti (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.lab) tptp.lab))
% 1.01/1.19  (assume a53 (= (tptp.ti (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.lba) tptp.lba))
% 1.01/1.19  (assume a54 (= (tptp.ti (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.p) tptp.p))
% 1.01/1.19  (assume a55 (= (tptp.ti tptp.arrow_490897120le_alt tptp.a) tptp.a))
% 1.01/1.19  (assume a56 (= (tptp.ti tptp.arrow_490897120le_alt tptp.b) tptp.b))
% 1.01/1.19  (assume a57 (= (tptp.ti tptp.arrow_490897120le_alt tptp.c) tptp.c))
% 1.01/1.19  (assume a58 (= (tptp.ti tptp.arrow_490897120le_alt tptp.d) tptp.d))
% 1.01/1.19  (assume a59 (= (tptp.ti tptp.arrow_490897120le_alt tptp.e) tptp.e))
% 1.01/1.19  (assume a60 (= (tptp.ti (tptp.fun tptp.arrow_660593299e_indi tptp.nat) tptp.h) tptp.h))
% 1.01/1.19  (assume a61 (= (tptp.ti tptp.nat tptp.n) tptp.n))
% 1.01/1.19  (assume a62 (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool tptp.arrow_2037941124le_IIA tptp.f)))
% 1.01/1.19  (assume a63 (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool tptp.arrow_831799591nimity tptp.f)))
% 1.01/1.19  (assume a64 (not (= tptp.c tptp.d)))
% 1.01/1.19  (assume a65 (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.p) tptp.arrow_1111136790e_Prof)))
% 1.01/1.19  (assume a66 (forall ((X_1 $$unsorted) (Y_2 $$unsorted) (L_3 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) X_1) Y_2)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_1278947948_mkbot L_3) Z))) (and (not (= (tptp.ti tptp.arrow_490897120le_alt Y_2) (tptp.ti tptp.arrow_490897120le_alt Z))) (=> (= (tptp.ti tptp.arrow_490897120le_alt X_1) (tptp.ti tptp.arrow_490897120le_alt Z)) (not (= (tptp.ti tptp.arrow_490897120le_alt X_1) (tptp.ti tptp.arrow_490897120le_alt Y_2)))) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt X_1) (tptp.ti tptp.arrow_490897120le_alt Z))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) X_1) Y_2)) L_3)))))))
% 1.01/1.19  (assume a67 (forall ((X_1 $$unsorted) (Y_2 $$unsorted) (L_3 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) X_1) Y_2)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_1427655034_mktop L_3) Z))) (and (not (= (tptp.ti tptp.arrow_490897120le_alt X_1) (tptp.ti tptp.arrow_490897120le_alt Z))) (=> (= (tptp.ti tptp.arrow_490897120le_alt Y_2) (tptp.ti tptp.arrow_490897120le_alt Z)) (not (= (tptp.ti tptp.arrow_490897120le_alt X_1) (tptp.ti tptp.arrow_490897120le_alt Y_2)))) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Y_2) (tptp.ti tptp.arrow_490897120le_alt Z))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) X_1) Y_2)) L_3)))))))
% 1.01/1.19  (assume a68 (forall ((P_1 $$unsorted) (Pa $$unsorted) (A_5 $$unsorted) (B_3 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Aa) (tptp.ti tptp.arrow_490897120le_alt Ba))) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt A_5) (tptp.ti tptp.arrow_490897120le_alt B_3))) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Aa) (tptp.ti tptp.arrow_490897120le_alt B_3))) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Ba) (tptp.ti tptp.arrow_490897120le_alt A_5))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) Pa) tptp.arrow_1111136790e_Prof)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) P_1) tptp.arrow_1111136790e_Prof)) (=> (forall ((I_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Aa) Ba)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) Pa I_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) A_5) B_3)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) P_1 I_2))))) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Aa) Ba)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f Pa))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) A_5) B_3)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f P_1)))))))))))))
% 1.01/1.19  (assume a69 (forall ((P_1 $$unsorted) (Pa $$unsorted) (A_5 $$unsorted) (B_3 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Aa) (tptp.ti tptp.arrow_490897120le_alt Ba))) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt A_5) (tptp.ti tptp.arrow_490897120le_alt B_3))) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Aa) (tptp.ti tptp.arrow_490897120le_alt B_3))) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Ba) (tptp.ti tptp.arrow_490897120le_alt A_5))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) Pa) tptp.arrow_1111136790e_Prof)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) P_1) tptp.arrow_1111136790e_Prof)) (=> (forall ((I_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Aa) Ba)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) Pa I_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) A_5) B_3)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) P_1 I_2))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Aa) Ba)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f Pa))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) A_5) B_3)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f P_1)))))))))))))
% 1.01/1.19  (assume a70 (forall ((P_1 $$unsorted) (Pa $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Aa) (tptp.ti tptp.arrow_490897120le_alt Ba))) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Ba) (tptp.ti tptp.arrow_490897120le_alt Ca))) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Aa) (tptp.ti tptp.arrow_490897120le_alt Ca))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) Pa) tptp.arrow_1111136790e_Prof)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) P_1) tptp.arrow_1111136790e_Prof)) (=> (forall ((I_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Aa) Ba)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) Pa I_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Ba) Ca)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) P_1 I_2))))) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Aa) Ba)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f Pa))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Ba) Ca)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f P_1))))))))))))
% 1.01/1.19  (assume a71 (forall ((P_1 $$unsorted) (Pa $$unsorted) (A_5 $$unsorted) (B_3 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Aa) (tptp.ti tptp.arrow_490897120le_alt Ba))) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt A_5) (tptp.ti tptp.arrow_490897120le_alt B_3))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) Pa) tptp.arrow_1111136790e_Prof)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) P_1) tptp.arrow_1111136790e_Prof)) (=> (forall ((I_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Aa) Ba)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) Pa I_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) A_5) B_3)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) P_1 I_2))))) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Aa) Ba)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f Pa))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) A_5) B_3)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f P_1)))))))))))
% 1.01/1.19  (assume a72 (forall ((P_1 $$unsorted) (Pa $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Aa) (tptp.ti tptp.arrow_490897120le_alt Ba))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) Pa) tptp.arrow_1111136790e_Prof)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) P_1) tptp.arrow_1111136790e_Prof)) (=> (forall ((I_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Aa) Ba)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) Pa I_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Ba) Aa)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) P_1 I_2))))) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Aa) Ba)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f Pa))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Ba) Aa)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f P_1))))))))))
% 1.01/1.19  (assume a73 (forall ((I_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.p I_2))) (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.arrow_660593299e_indi tptp.nat tptp.h I_2)) tptp.n)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_1427655034_mktop (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.p I_2)) tptp.e)))) (=> (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.arrow_660593299e_indi tptp.nat tptp.h I_2)) tptp.n))) (and (=> (= (tptp.hAPP tptp.arrow_660593299e_indi tptp.nat tptp.h I_2) tptp.n) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_14103264_above (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.p I_2)) tptp.c) tptp.e)))) (=> (not (= (tptp.hAPP tptp.arrow_660593299e_indi tptp.nat tptp.h I_2) tptp.n)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_1278947948_mkbot (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.p I_2)) tptp.e))))))))))
% 1.01/1.19  (assume a74 (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.p (tptp.hAPP tptp.nat tptp.arrow_660593299e_indi (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.nat tptp.arrow_660593299e_indi) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.nat tptp.arrow_660593299e_indi)) (tptp.hilbert_inv_into tptp.arrow_660593299e_indi tptp.nat) (tptp.top_top (tptp.fun tptp.arrow_660593299e_indi tptp.bool))) tptp.h) tptp.n)))))
% 1.01/1.19  (assume a75 (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1427655034_mktop) tptp.p)) tptp.e))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.fequal tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) tptp.arrow_14103264_above) tptp.p)) tptp.c)) tptp.e))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1278947948_mkbot) tptp.p)) tptp.e)))))))
% 1.01/1.19  (assume a76 (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f tptp.p))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1427655034_mktop) tptp.p)) tptp.e))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.fequal tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) tptp.arrow_14103264_above) tptp.p)) tptp.c)) tptp.e))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1278947948_mkbot) tptp.p)) tptp.e))))))))
% 1.01/1.19  (assume a77 (forall ((X_a $$unsorted) (X_b $$unsorted) (Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a X_b) tptp.bool Pa X1))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a X_b) tptp.bool Pa (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_3) B_2)))))))
% 1.01/1.19  (assume a78 (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1427655034_mktop) tptp.p)) tptp.e))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.fequal tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) tptp.arrow_14103264_above) tptp.p)) tptp.c)) tptp.e))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1278947948_mkbot) tptp.p)) tptp.e)))) tptp.arrow_1111136790e_Prof)))
% 1.01/1.19  (assume a79 (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.e)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1427655034_mktop) tptp.p)) tptp.e))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.fequal tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) tptp.arrow_14103264_above) tptp.p)) tptp.c)) tptp.e))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1278947948_mkbot) tptp.p)) tptp.e)))))))
% 1.01/1.19  (assume a80 (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.e) tptp.d)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1427655034_mktop) tptp.p)) tptp.e))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.fequal tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) tptp.arrow_14103264_above) tptp.p)) tptp.c)) tptp.e))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1278947948_mkbot) tptp.p)) tptp.e)))))))
% 1.01/1.19  (assume a81 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) tptp.n) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) tptp.nat (tptp.finite_card tptp.arrow_660593299e_indi) (tptp.top_top (tptp.fun tptp.arrow_660593299e_indi tptp.bool))))))
% 1.01/1.19  (assume a82 (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) tptp.bool) (tptp.inj_on tptp.arrow_660593299e_indi tptp.nat) tptp.h) (tptp.top_top (tptp.fun tptp.arrow_660593299e_indi tptp.bool)))))
% 1.01/1.19  (assume a83 (forall ((X_b $$unsorted) (X_a $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted) (A_6 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_2) B_1) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_6) B_4)) (not (=> (= (tptp.ti X_a A_2) (tptp.ti X_a A_6)) (not (= (tptp.ti X_b B_1) (tptp.ti X_b B_4))))))))
% 1.01/1.19  (assume a84 (forall ((X_b $$unsorted) (X_a $$unsorted) (Aa $$unsorted) (Ba $$unsorted) (A_5 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) Aa) Ba) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_5) B_3)) (and (= (tptp.ti X_a Aa) (tptp.ti X_a A_5)) (= (tptp.ti X_b Ba) (tptp.ti X_b B_3))))))
% 1.01/1.19  (assume a85 (forall ((Fa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool tptp.arrow_2037941124le_IIA Fa)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) X_2) tptp.arrow_1111136790e_Prof)) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) Xa) tptp.arrow_1111136790e_Prof)) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (forall ((I_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) A_3) B_2)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) X_2 I_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) A_3) B_2)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) Xa I_2))))) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) A_3) B_2)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) Fa X_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) A_3) B_2)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) Fa Xa)))))))))))))
% 1.01/1.19  (assume a86 (forall ((Fa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool tptp.arrow_831799591nimity Fa)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) X_2) tptp.arrow_1111136790e_Prof)) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (forall ((I_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) A_3) B_2)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) X_2 I_2)))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) A_3) B_2)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) Fa X_2))))))))))
% 1.01/1.19  (assume a87 (forall ((X_a $$unsorted) (X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.top_top (tptp.fun X_a tptp.bool)) X_1))))
% 1.01/1.19  (assume a88 (forall ((X_a $$unsorted) (X_1 $$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) X_1) (tptp.top_top (tptp.fun X_a tptp.bool))))))
% 1.01/1.19  (assume a89 (forall ((X_a $$unsorted) (X_1 $$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) X_1) (tptp.top_top (tptp.fun X_a tptp.bool))))))
% 1.01/1.19  (assume a90 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted) (F1 $$unsorted) (Aa $$unsorted) (Ba $$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) Aa) Ba)) (tptp.hAPP X_c X_a (tptp.hAPP X_b (tptp.fun X_c X_a) F1 Aa) Ba))))
% 1.01/1.19  (assume a91 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.top X_a) (forall ((X_1 $$unsorted)) (= (tptp.hAPP X_b X_a (tptp.top_top (tptp.fun X_b X_a)) X_1) (tptp.top_top X_a))))))
% 1.01/1.19  (assume a92 (forall ((X_a $$unsorted)) (=> (tptp.top X_a) (forall ((A_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.top_top X_a)) A_2)))))))
% 1.01/1.19  (assume a93 (forall ((X_a $$unsorted)) (=> (tptp.top X_a) (forall ((Aa $$unsorted)) (= (not (= (tptp.ti X_a Aa) (tptp.top_top 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) Aa) (tptp.top_top X_a))))))))
% 1.01/1.19  (assume a94 (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.f) (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool)) (tptp.pi (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_1111136790e_Prof) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool)) (tptp.combk (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_2064824852le_Lin)))))
% 1.01/1.19  (assume a95 (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.e) tptp.d)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1427655034_mktop) tptp.p)) tptp.e))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.fequal tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) tptp.arrow_14103264_above) tptp.p)) tptp.c)) tptp.e))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1278947948_mkbot) tptp.p)) tptp.e)))))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.b) tptp.a)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) tptp.n))) tptp.lab)) tptp.lba))))))
% 1.01/1.19  (assume a96 (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.lab) tptp.arrow_2064824852le_Lin)))
% 1.01/1.19  (assume a97 (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.lba) tptp.arrow_2064824852le_Lin)))
% 1.01/1.19  (assume a98 (not (= tptp.a tptp.b)))
% 1.01/1.19  (assume a99 (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.a) tptp.b)) tptp.lab)))
% 1.01/1.19  (assume a100 (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.b) tptp.a)) tptp.lba)))
% 1.01/1.19  (assume a101 (not (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.a) tptp.b)) tptp.lba))))
% 1.01/1.19  (assume a102 (not (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.b) tptp.a)) tptp.lab))))
% 1.01/1.19  (assume a103 (forall ((Na $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) Na))) tptp.lab)) tptp.lba)) tptp.arrow_1111136790e_Prof))))
% 1.01/1.19  (assume a104 (not (forall ((Lab $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.a) tptp.b)) Lab)) (not (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) Lab) tptp.arrow_2064824852le_Lin)))))))
% 1.01/1.19  (assume a105 (not (forall ((Lba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.b) tptp.a)) Lba)) (not (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) Lba) tptp.arrow_2064824852le_Lin)))))))
% 1.01/1.19  (assume a106 (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 tptp.nat) (tptp.hAPP tptp.arrow_660593299e_indi tptp.nat tptp.h I_2)) tptp.n)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.e) tptp.d)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_1427655034_mktop (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.p I_2)) tptp.e)))) (=> (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.arrow_660593299e_indi tptp.nat tptp.h I_2)) tptp.n))) (and (=> (= (tptp.hAPP tptp.arrow_660593299e_indi tptp.nat tptp.h I_2) tptp.n) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.e) tptp.d)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_14103264_above (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.p I_2)) tptp.c) tptp.e)))) (=> (not (= (tptp.hAPP tptp.arrow_660593299e_indi tptp.nat tptp.h I_2) tptp.n)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.e) tptp.d)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_1278947948_mkbot (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.p I_2)) tptp.e))))))) (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.arrow_660593299e_indi tptp.nat tptp.h I_2)) tptp.n)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.b) tptp.a)) tptp.lab))) (=> (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.arrow_660593299e_indi tptp.nat tptp.h I_2)) tptp.n))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.b) tptp.a)) tptp.lba)))))))
% 1.01/1.19  (assume a107 (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.n)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.b) tptp.a)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) M))) tptp.lab)) tptp.lba)))))))
% 1.01/1.19  (assume a108 (forall ((X_1 $$unsorted) (Y_2 $$unsorted) (L_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) L_3) tptp.arrow_2064824852le_Lin)) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt X_1) (tptp.ti tptp.arrow_490897120le_alt Y_2))) (= (not (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) X_1) Y_2)) L_3))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Y_2) X_1)) L_3)))))))
% 1.01/1.19  (assume a109 (forall ((Aa $$unsorted) (Ba $$unsorted) (L_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) L_3) tptp.arrow_2064824852le_Lin)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Aa) Ba)) L_3)) (not (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Ba) Aa)) L_3)))))))
% 1.01/1.19  (assume a110 (forall ((X_1 $$unsorted) (L_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) L_3) tptp.arrow_2064824852le_Lin)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_1427655034_mktop L_3) X_1)) tptp.arrow_2064824852le_Lin)))))
% 1.01/1.19  (assume a111 (forall ((X_1 $$unsorted) (L_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) L_3) tptp.arrow_2064824852le_Lin)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_1278947948_mkbot L_3) X_1)) tptp.arrow_2064824852le_Lin)))))
% 1.01/1.19  (assume a112 (forall ((L_3 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt X_1) (tptp.ti tptp.arrow_490897120le_alt Y_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) L_3) tptp.arrow_2064824852le_Lin)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_14103264_above L_3) X_1) Y_2)) tptp.arrow_2064824852le_Lin))))))
% 1.01/1.19  (assume a113 (forall ((L_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) L_3) tptp.arrow_2064824852le_Lin)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.combk (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.arrow_660593299e_indi) L_3)) tptp.arrow_1111136790e_Prof)))))
% 1.01/1.19  (assume a114 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y))) (=> (not (= (tptp.ti X_a X) (tptp.ti X_a Y))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) X))))))))
% 1.01/1.19  (assume a115 (forall ((X_a $$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))))))))
% 1.01/1.19  (assume a116 (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))))))))
% 1.01/1.19  (assume a117 (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))))))))
% 1.01/1.19  (assume a118 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((C $$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.ti X_a B_1) (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_2))))))))
% 1.01/1.19  (assume a119 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (forall ((C $$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)) (=> (= B_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) A_2) C))))))))
% 1.01/1.19  (assume a120 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((C $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (= (tptp.ti X_a A_2) (tptp.ti 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) C) 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) A_2))))))))
% 1.01/1.19  (assume a121 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (forall ((C $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (= 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) 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_2) C))))))))
% 1.01/1.19  (assume a122 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) A_2)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1))))))))
% 1.01/1.19  (assume a123 (forall ((X_a $$unsorted)) (=> (tptp.preorder 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)) (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_1) A_2))))))))
% 1.01/1.19  (assume a124 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((Pa $$unsorted) (X_1 $$unsorted) (Y_2 $$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_1) 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) Y_2) X_1)) (tptp.hBOOL Pa)))))))
% 1.01/1.19  (assume a125 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (not (= (tptp.ti X_a Y) (tptp.ti X_a X))))))))
% 1.01/1.19  (assume a126 (forall ((X_a $$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))))))))
% 1.01/1.19  (assume a127 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) X))))))))
% 1.01/1.19  (assume a128 (forall ((X_a $$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))))))))
% 1.01/1.19  (assume a129 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (not (= (tptp.ti X_a X) (tptp.ti X_a Y))))))))
% 1.01/1.19  (assume a130 (forall ((X_a $$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))))))))
% 1.01/1.19  (assume a131 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Y_2 $$unsorted) (X_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y_2) X_1))) (= (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Y_2))) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_2))))))))
% 1.01/1.19  (assume a132 (forall ((X_a $$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)))))))
% 1.01/1.19  (assume a133 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_2 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Y_2))) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y_2) X_1)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_2))))))))
% 1.01/1.19  (assume a134 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_2 $$unsorted)) (= (not (= (tptp.ti X_a X_1) (tptp.ti X_a Y_2))) (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_2)) (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_1))))))))
% 1.01/1.19  (assume a135 (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)))))))
% 1.01/1.19  (assume a136 (forall ((X_a $$unsorted)) (= (tptp.top_top (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) (tptp.hAPP tptp.bool (tptp.fun X_a tptp.bool) (tptp.combk tptp.bool X_a) tptp.fTrue)))))
% 1.01/1.19  (assume a137 (forall ((X_a $$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)))))
% 1.01/1.19  (assume a138 (forall ((X_a $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_1) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool A_1 X_1)))))
% 1.01/1.19  (assume a139 (forall ((X_a $$unsorted) (Pa $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) Pa) (tptp.ti (tptp.fun X_a tptp.bool) Pa))))
% 1.01/1.19  (assume a140 (forall ((X_1 $$unsorted) (Y_2 $$unsorted) (L_3 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Aa) (tptp.ti tptp.arrow_490897120le_alt Ba))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) L_3) tptp.arrow_2064824852le_Lin)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) X_1) Y_2)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_14103264_above L_3) Aa) Ba))) (and (not (= (tptp.ti tptp.arrow_490897120le_alt X_1) (tptp.ti tptp.arrow_490897120le_alt Y_2))) (=> (= (tptp.ti tptp.arrow_490897120le_alt X_1) (tptp.ti tptp.arrow_490897120le_alt Ba)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Aa) Y_2)) L_3))) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt X_1) (tptp.ti tptp.arrow_490897120le_alt Ba))) (and (=> (= (tptp.ti tptp.arrow_490897120le_alt Y_2) (tptp.ti tptp.arrow_490897120le_alt Ba)) (or (= (tptp.ti tptp.arrow_490897120le_alt X_1) (tptp.ti tptp.arrow_490897120le_alt Aa)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) X_1) Aa)) L_3)))) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Y_2) (tptp.ti tptp.arrow_490897120le_alt Ba))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) X_1) Y_2)) L_3)))))))))))
% 1.01/1.19  (assume a141 (forall ((X_a $$unsorted) (X_b $$unsorted) (S_1 $$unsorted) (R_1 $$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_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_2) Xa)) S_1)))) (= (tptp.ti (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) R_1) (tptp.ti (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) S_1)))))
% 1.01/1.19  (assume a142 (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.a) tptp.b)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) tptp.n) (tptp.one_one tptp.nat))))) tptp.lab)) tptp.lba)))))
% 1.01/1.19  (assume a143 (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.e)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1427655034_mktop) tptp.p)) tptp.e))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.fequal tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) tptp.arrow_14103264_above) tptp.p)) tptp.c)) tptp.e))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1278947948_mkbot) tptp.p)) tptp.e)))))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.a) tptp.b)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) tptp.n) (tptp.one_one tptp.nat))))) tptp.lab)) tptp.lba))))))
% 1.01/1.19  (assume a144 (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 tptp.nat) (tptp.hAPP tptp.arrow_660593299e_indi tptp.nat tptp.h I_2)) tptp.n)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.e)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_1427655034_mktop (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.p I_2)) tptp.e)))) (=> (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.arrow_660593299e_indi tptp.nat tptp.h I_2)) tptp.n))) (and (=> (= (tptp.hAPP tptp.arrow_660593299e_indi tptp.nat tptp.h I_2) tptp.n) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.e)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_14103264_above (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.p I_2)) tptp.c) tptp.e)))) (=> (not (= (tptp.hAPP tptp.arrow_660593299e_indi tptp.nat tptp.h I_2) tptp.n)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.e)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_1278947948_mkbot (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.p I_2)) tptp.e))))))) (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.arrow_660593299e_indi tptp.nat tptp.h I_2)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) tptp.n) (tptp.one_one tptp.nat)))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.a) tptp.b)) tptp.lab))) (=> (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.arrow_660593299e_indi tptp.nat tptp.h I_2)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) tptp.n) (tptp.one_one tptp.nat))))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.a) tptp.b)) tptp.lba)))))))
% 1.01/1.19  (assume a145 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (F $$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.inj_on X_a X_b) F) (tptp.top_top (tptp.fun X_a tptp.bool)))) (=> (= (tptp.hAPP X_a X_b F X_1) (tptp.ti X_b Y_2)) (= (tptp.hAPP X_b X_a (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_b X_a)) (tptp.hilbert_inv_into X_a X_b) (tptp.top_top (tptp.fun X_a tptp.bool))) F) Y_2) (tptp.ti X_a X_1))))))
% 1.01/1.19  (assume a146 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_1 $$unsorted) (F $$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.inj_on X_a X_b) F) (tptp.top_top (tptp.fun X_a tptp.bool)))) (= (tptp.hAPP X_b X_a (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_b X_a)) (tptp.hilbert_inv_into X_a X_b) (tptp.top_top (tptp.fun X_a tptp.bool))) F) (tptp.hAPP X_a X_b F X_1)) (tptp.ti X_a X_1)))))
% 1.01/1.19  (assume a147 (forall ((I_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) Fa) (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool)) (tptp.pi (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_1111136790e_Prof) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool)) (tptp.combk (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_2064824852le_Lin)))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) X_2) tptp.arrow_1111136790e_Prof)) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt A_3) (tptp.ti tptp.arrow_490897120le_alt B_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) A_3) B_2)) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) X_2 I_1))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) A_3) B_2)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) Fa X_2)))))))) (tptp.hBOOL (tptp.hAPP tptp.arrow_660593299e_indi tptp.bool (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi tptp.bool) tptp.arrow_218898985ctator Fa) I_1))))))
% 1.01/1.19  (assume a148 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a X_b)) F) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_1) B))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) (tptp.hAPP X_a X_b F X_1)) (tptp.hAPP X_a (tptp.fun X_b tptp.bool) B X_1)))) (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_1) A_1)))))))
% 1.01/1.19  (assume a149 (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Aa) (tptp.ti tptp.arrow_490897120le_alt Ba))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) X_2) tptp.arrow_2064824852le_Lin)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Aa) Ba)) X_2)))))))
% 1.01/1.19  (assume a150 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_1) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.combk (tptp.fun X_b tptp.bool) X_a) (tptp.top_top (tptp.fun X_b tptp.bool)))) (tptp.top_top (tptp.fun (tptp.fun X_a X_b) tptp.bool)))))
% 1.01/1.19  (assume a151 (forall ((X_c $$unsorted) (X_a $$unsorted) (X_b $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.inj_on X_a X_b) F) (tptp.top_top (tptp.fun X_a tptp.bool)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_c X_b)) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.inj_on X_a (tptp.fun X_c X_b)) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_c X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_c X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_c X_b))) (tptp.combb X_b (tptp.fun X_c X_b) X_a) (tptp.combk X_b X_c)) F)) (tptp.top_top (tptp.fun X_a tptp.bool)))))))
% 1.01/1.19  (assume a152 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) X))))))
% 1.01/1.19  (assume a153 (exists ((N $$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) N) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) tptp.nat (tptp.finite_card tptp.arrow_660593299e_indi) (tptp.top_top (tptp.fun tptp.arrow_660593299e_indi tptp.bool))))) (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) N)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.b) tptp.a)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) M))) tptp.lab)) tptp.lba)))))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.a) tptp.b)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) (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.lab)) tptp.lba)))))))
% 1.01/1.19  (assume a154 (not (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.fun tptp.arrow_660593299e_indi tptp.bool) tptp.nat (tptp.finite_card tptp.arrow_660593299e_indi) (tptp.top_top (tptp.fun tptp.arrow_660593299e_indi tptp.bool))))) (=> (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) N)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.b) tptp.a)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) M))) tptp.lab)) tptp.lba)))))) (not (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.a) tptp.b)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) (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.lab)) tptp.lba))))))))))
% 1.01/1.19  (assume a155 (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)))))))
% 1.01/1.19  (assume a156 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.ord X_b) (forall ((X_1 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a X_b)) F) G)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F X_1)) (tptp.hAPP X_a X_b G X_1))))))))
% 1.01/1.19  (assume a157 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((Z_1 $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Z_1) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Z_1) X))))))))
% 1.01/1.19  (assume a158 (forall ((X_a $$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))))))))
% 1.01/1.19  (assume a159 (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))))))))
% 1.01/1.19  (assume a160 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X)) (= (tptp.ti X_a X) (tptp.ti X_a Y))))))))
% 1.01/1.19  (assume a161 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((C $$unsorted) (B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) A_2)) (=> (= (tptp.ti X_a B_1) (tptp.ti X_a C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) A_2))))))))
% 1.01/1.19  (assume a162 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (forall ((C $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) C))))))))
% 1.01/1.19  (assume a163 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((C $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (= (tptp.ti X_a A_2) (tptp.ti X_a B_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) A_2))))))))
% 1.01/1.19  (assume a164 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (forall ((C $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (= A_2 B_1) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) C))))))))
% 1.01/1.19  (assume a165 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((Y_2 $$unsorted) (X_1 $$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_2) 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_2)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_2))))))))
% 1.01/1.19  (assume a166 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.ord X_b) (forall ((X_1 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a X_b)) F) G)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F X_1)) (tptp.hAPP X_a X_b G X_1))))))))
% 1.01/1.19  (assume a167 (forall ((X_a $$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)))))))
% 1.01/1.19  (assume a168 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X_1 $$unsorted) (Y_2 $$unsorted)) (= (= (tptp.ti X_a X_1) (tptp.ti X_a Y_2)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y_2) X_1))))))))
% 1.01/1.19  (assume a169 (forall ((X_a $$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)))))))
% 1.01/1.19  (assume a170 (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 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F X_2)) (tptp.hAPP X_a X_b G X_2)))))))))
% 1.01/1.19  (assume a171 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_2 $$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_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) Y_2) X_1)))))))
% 1.01/1.19  (assume a172 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_2 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y_2) X_1)))))))
% 1.01/1.19  (assume a173 (forall ((X_a $$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)))))))
% 1.01/1.19  (assume a174 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X_1 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Y_2)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_2)) (not (= (tptp.ti X_a X_1) (tptp.ti X_a Y_2)))))))))
% 1.01/1.19  (assume a175 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((X_1 $$unsorted) (Y_2 $$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_1) Y_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) X_1) Y_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) Y_2) X_1)))))))))
% 1.01/1.19  (assume a176 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X_1 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_2)) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Y_2)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_2))))))))
% 1.01/1.19  (assume a177 (forall ((X_a $$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)))))))
% 1.01/1.19  (assume a178 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)))))))
% 1.01/1.19  (assume a179 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_2 $$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_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_1) Y_2)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_2))))))))
% 1.01/1.19  (assume a180 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_2) (tptp.ti X_a B_1))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1))))))))
% 1.01/1.19  (assume a181 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_2) (tptp.ti 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) 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) A_2))))))))
% 1.01/1.19  (assume a182 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y))))))))
% 1.01/1.19  (assume a183 (forall ((X_a $$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)))))))
% 1.01/1.19  (assume a184 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_2)) (= (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Y_2))) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_2))))))))
% 1.01/1.19  (assume a185 (forall ((X_a $$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))))))))
% 1.01/1.19  (assume a186 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)) (=> (not (= (tptp.ti X_a A_2) (tptp.ti X_a B_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1))))))))
% 1.01/1.19  (assume a187 (forall ((X_a $$unsorted)) (=> (tptp.order 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) B_1) A_2)) (=> (not (= (tptp.ti X_a A_2) (tptp.ti 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) A_2))))))))
% 1.01/1.19  (assume a188 (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))))))))
% 1.01/1.19  (assume a189 (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))))))))
% 1.01/1.19  (assume a190 (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))))))))
% 1.01/1.19  (assume a191 (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))))))))
% 1.01/1.19  (assume a192 (forall ((X_a $$unsorted)) (=> (tptp.top X_a) (forall ((A_2 $$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.top_top X_a)))))))
% 1.01/1.19  (assume a193 (forall ((X_a $$unsorted)) (=> (tptp.top X_a) (forall ((Aa $$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.top_top X_a)) Aa)) (= (tptp.ti X_a Aa) (tptp.top_top X_a)))))))
% 1.01/1.19  (assume a194 (forall ((X_a $$unsorted)) (=> (tptp.top X_a) (forall ((A_2 $$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.top_top X_a)) A_2)) (= (tptp.ti X_a A_2) (tptp.top_top X_a)))))))
% 1.01/1.19  (assume a195 (forall ((X_a $$unsorted) (X_b $$unsorted) (F $$unsorted) (A_1 $$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.inj_on X_a X_b) F) A_1)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_1)) (forall ((Xa $$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_1)) (=> (= (tptp.hAPP X_a X_b F X_2) (tptp.hAPP X_a X_b F Xa)) (= (tptp.ti X_a X_2) (tptp.ti X_a Xa))))))))))
% 1.01/1.19  (assume a196 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (F $$unsorted) (A_1 $$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.inj_on X_a X_b) F) A_1)) (=> (not (= (tptp.ti X_a X_1) (tptp.ti X_a Y_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_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) Y_2) A_1)) (not (= (tptp.hAPP X_a X_b F X_1) (tptp.hAPP X_a X_b F Y_2)))))))))
% 1.01/1.19  (assume a197 (forall ((X_a $$unsorted) (X_b $$unsorted) (Y_2 $$unsorted) (X_1 $$unsorted) (F $$unsorted) (A_1 $$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.inj_on X_a X_b) F) A_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) X_1) A_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) Y_2) A_1)) (= (= (tptp.hAPP X_a X_b F X_1) (tptp.hAPP X_a X_b F Y_2)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_2))))))))
% 1.01/1.19  (assume a198 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (F $$unsorted) (A_1 $$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.inj_on X_a X_b) F) A_1)) (=> (= (tptp.hAPP X_a X_b F X_1) (tptp.hAPP X_a X_b F Y_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_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) Y_2) A_1)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_2))))))))
% 1.01/1.19  (assume a199 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a X_b)) F) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_1) 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) X_1) A_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) (tptp.hAPP X_a X_b F X_1)) (tptp.hAPP X_a (tptp.fun X_b tptp.bool) B X_1)))))))
% 1.01/1.19  (assume a200 (= tptp.arrow_1111136790e_Prof (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool)) (tptp.pi tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.top_top (tptp.fun tptp.arrow_660593299e_indi tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool)) (tptp.combk (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.arrow_660593299e_indi) tptp.arrow_2064824852le_Lin))))
% 1.01/1.19  (assume a201 (forall ((X_a $$unsorted) (A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.inj_on X_a X_a) (tptp.combi X_a)) A_1))))
% 1.01/1.19  (assume a202 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_1 $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a X_b)) F) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_1) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.combk (tptp.fun X_b tptp.bool) X_a) 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) X_1) A_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) (tptp.hAPP X_a X_b F X_1)) B))))))
% 1.01/1.19  (assume a203 (forall ((X_a $$unsorted) (A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_a) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun (tptp.fun X_a X_a) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a X_a)) (tptp.combi X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_a X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_a X_a) tptp.bool)) (tptp.pi X_a X_a) A_1) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.combk (tptp.fun X_a tptp.bool) X_a) A_1))))))
% 1.01/1.19  (assume a204 (forall ((Fa $$unsorted) (I_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.arrow_660593299e_indi tptp.bool (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi tptp.bool) tptp.arrow_218898985ctator Fa) I_1)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) X_2) tptp.arrow_1111136790e_Prof)) (= (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) Fa X_2) (tptp.hAPP tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) X_2 I_1)))))))
% 1.01/1.19  (assume a205 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (F $$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.inj_on X_a X_b) F) (tptp.top_top (tptp.fun X_a tptp.bool)))) (= (= (tptp.hAPP X_a X_b F X_1) (tptp.hAPP X_a X_b F Y_2)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_2))))))
% 1.01/1.19  (assume a206 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.inj_on X_a X_b) F) (tptp.top_top (tptp.fun X_a tptp.bool)))) (=> (= (tptp.hAPP X_a X_b F X_1) (tptp.hAPP X_a X_b F Y_2)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_2))))))
% 1.01/1.19  (assume a207 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_1 $$unsorted) (F $$unsorted) (A_1 $$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.inj_on X_a X_b) F) A_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) X_1) A_1)) (= (tptp.hAPP X_b X_a (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_b X_a)) (tptp.hilbert_inv_into X_a X_b) A_1) F) (tptp.hAPP X_a X_b F X_1)) (tptp.ti X_a X_1))))))
% 1.01/1.19  (assume a208 (forall ((X_a $$unsorted) (X_b $$unsorted) (Y_2 $$unsorted) (X_1 $$unsorted) (F $$unsorted) (A_1 $$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.inj_on X_a X_b) F) A_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) X_1) A_1)) (=> (= (tptp.hAPP X_a X_b F X_1) (tptp.ti X_b Y_2)) (= (tptp.hAPP X_b X_a (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_b X_a)) (tptp.hilbert_inv_into X_a X_b) A_1) F) Y_2) (tptp.ti X_a X_1)))))))
% 1.01/1.19  (assume a209 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (B $$unsorted) (A_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) A_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) (tptp.hAPP X_a X_b F X_2)) (tptp.hAPP X_a (tptp.fun X_b tptp.bool) B X_2))))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a X_b)) F) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_1) B))))))
% 1.01/1.19  (assume a210 (forall ((X_a $$unsorted) (X_b $$unsorted) (G $$unsorted) (F $$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.inj_on X_a X_b) F) (tptp.top_top (tptp.fun X_a tptp.bool)))) (=> (forall ((X_2 $$unsorted)) (= (tptp.hAPP X_a X_b F (tptp.hAPP X_b X_a G X_2)) (tptp.ti X_b X_2))) (= (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_b X_a)) (tptp.hilbert_inv_into X_a X_b) (tptp.top_top (tptp.fun X_a tptp.bool))) F) (tptp.ti (tptp.fun X_b X_a) G))))))
% 1.01/1.19  (assume a211 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) (tptp.one_one X_a))))))))
% 1.01/1.19  (assume a212 (forall ((X_a $$unsorted)) (=> (tptp.ordere223160158up_add X_a) (forall ((C $$unsorted) (D $$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_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_2) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B_1) D)))))))))
% 1.01/1.19  (assume a213 (forall ((X_a $$unsorted)) (=> (tptp.ordere223160158up_add X_a) (forall ((C $$unsorted) (D $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C) D)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B_1) D)))))))))
% 1.01/1.19  (assume a214 (forall ((X_a $$unsorted) (X_b $$unsorted) (F $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_3 $$unsorted)) (=> (= (tptp.hAPP X_a X_b F X_2) (tptp.hAPP X_a X_b F Y_3)) (= (tptp.ti X_a X_2) (tptp.ti X_a Y_3)))) (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.inj_on X_a X_b) F) (tptp.top_top (tptp.fun X_a tptp.bool)))))))
% 1.01/1.19  (assume a215 (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)))))))
% 1.01/1.19  (assume a216 (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 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) W)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) W) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) W) Z_1))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) Z_1))))))))
% 1.01/1.19  (assume a217 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.ord X_b) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.ord_less (tptp.fun X_a X_b)) F) G)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a X_b)) F) G)) (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a X_b)) G) F)))))))))
% 1.01/1.19  (assume a218 (forall ((X_b $$unsorted) (X_a $$unsorted) (B $$unsorted) (A_4 $$unsorted) (A_1 $$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)) A_4) A_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_1) B)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_4) B))))))
% 1.01/1.19  (assume a219 (forall ((X_a $$unsorted) (X_b $$unsorted) (R_1 $$unsorted) (S_1 $$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))) (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_1)) (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_1))) (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_1) S_1)))))
% 1.01/1.19  (assume a220 (forall ((X_a $$unsorted) (A_1 $$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)) A_1) (tptp.top_top (tptp.fun X_a tptp.bool))))))
% 1.01/1.19  (assume a221 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_1 $$unsorted) (F $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.inj_on X_a X_b) F) B)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_1) B)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.inj_on X_a X_b) F) A_1))))))
% 1.01/1.19  (assume a222 (forall ((X_a $$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))))))))
% 1.01/1.19  (assume a223 (forall ((X_a $$unsorted)) (=> (tptp.cancel_semigroup_add X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted) (C $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B_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) A_2)) (= (tptp.ti X_a B_1) (tptp.ti X_a C)))))))
% 1.01/1.19  (assume a224 (forall ((X_a $$unsorted)) (=> (tptp.cancel146912293up_add X_a) (forall ((A_2 $$unsorted) (B_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_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)) (= (tptp.ti X_a B_1) (tptp.ti X_a C)))))))
% 1.01/1.19  (assume a225 (forall ((X_a $$unsorted)) (=> (tptp.cancel_semigroup_add X_a) (forall ((A_2 $$unsorted) (B_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_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)) (= (tptp.ti X_a B_1) (tptp.ti X_a C)))))))
% 1.01/1.19  (assume a226 (forall ((X_a $$unsorted)) (=> (tptp.cancel_semigroup_add X_a) (forall ((Ba $$unsorted) (Aa $$unsorted) (Ca $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Ba) Aa) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Ca) Aa)) (= (tptp.ti X_a Ba) (tptp.ti X_a Ca)))))))
% 1.01/1.19  (assume a227 (forall ((X_a $$unsorted)) (=> (tptp.cancel_semigroup_add X_a) (forall ((Aa $$unsorted) (Ba $$unsorted) (Ca $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Aa) Ba) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Aa) Ca)) (= (tptp.ti X_a Ba) (tptp.ti X_a Ca)))))))
% 1.01/1.19  (assume a228 (forall ((X_a $$unsorted)) (=> (tptp.ab_semigroup_add X_a) (forall ((A_2 $$unsorted) (B_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) A_2) B_1)) C) (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) B_1) C)))))))
% 1.01/1.19  (assume a229 (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)))))))
% 1.01/1.19  (assume a230 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((C $$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) A_2)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) 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)))))))
% 1.01/1.19  (assume a231 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((A_2 $$unsorted) (C $$unsorted) (B_1 $$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)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B_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) A_2) B_1)))))))
% 1.01/1.19  (assume a232 (forall ((X_a $$unsorted)) (=> (tptp.ordere779506340up_add X_a) (forall ((C $$unsorted) (D $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) D)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B_1) D)))))))))
% 1.01/1.19  (assume a233 (forall ((X_a $$unsorted)) (=> (tptp.ordere779506340up_add X_a) (forall ((C $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) A_2)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) B_1))))))))
% 1.01/1.19  (assume a234 (forall ((X_a $$unsorted)) (=> (tptp.ordere779506340up_add X_a) (forall ((C $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B_1) C))))))))
% 1.01/1.19  (assume a235 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Ca) Aa)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Ca) Ba))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Aa) Ba)))))))
% 1.01/1.19  (assume a236 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((Aa $$unsorted) (Ca $$unsorted) (Ba $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Aa) Ca)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Ba) Ca))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Aa) Ba)))))))
% 1.01/1.19  (assume a237 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((C $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) A_2)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) B_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)))))))
% 1.01/1.19  (assume a238 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((A_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B_1) C))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)))))))
% 1.01/1.19  (assume a239 (forall ((X_a $$unsorted)) (=> (tptp.ordere223160158up_add X_a) (forall ((C $$unsorted) (D $$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) 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_2) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B_1) D)))))))))
% 1.01/1.19  (assume a240 (forall ((X_a $$unsorted)) (=> (tptp.ordere223160158up_add X_a) (forall ((C $$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) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) A_2)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) B_1))))))))
% 1.01/1.19  (assume a241 (forall ((X_a $$unsorted)) (=> (tptp.ordere223160158up_add X_a) (forall ((C $$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) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B_1) C))))))))
% 1.01/1.19  (assume a242 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$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) Ca) Aa)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Ca) Ba))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Aa) Ba)))))))
% 1.01/1.19  (assume a243 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((Aa $$unsorted) (Ca $$unsorted) (Ba $$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) Aa) Ca)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Ba) Ca))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Aa) Ba)))))))
% 1.01/1.19  (assume a244 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.ord X_b) (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F X_2)) (tptp.hAPP X_a X_b G X_2)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a X_b)) F) G)))))))
% 1.01/1.19  (assume a245 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.order X_a) (tptp.ord X_b)) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_b X_a F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) Ca) Ba)) (=> (forall ((X_2 $$unsorted) (Y_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) Y_3) X_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_b X_a F Y_3)) (tptp.hAPP X_b X_a F X_2))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_b X_a F Ca)) Aa)))))))))
% 1.01/1.19  (assume a246 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.order X_a) (tptp.order X_b)) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_b X_a F Ba)) Aa)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) Ca) Ba)) (=> (forall ((X_2 $$unsorted) (Y_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) Y_3) X_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_b X_a F Y_3)) (tptp.hAPP X_b X_a F X_2))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_b X_a F Ca)) Aa)))))))))
% 1.01/1.19  (assume a247 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.order X_b) (tptp.order X_a)) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Aa) (tptp.hAPP X_b X_a F Ba))) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) Ba) Ca)) (=> (forall ((X_2 $$unsorted) (Y_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) X_2) Y_3)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_b X_a F X_2)) (tptp.hAPP X_b X_a F Y_3))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Aa) (tptp.hAPP X_b X_a F Ca))))))))))
% 1.01/1.19  (assume a248 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.order X_b) (tptp.order X_a)) (forall ((Ca $$unsorted) (Aa $$unsorted) (F $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Aa) (tptp.hAPP X_b X_a F Ba))) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) Ba) Ca)) (=> (forall ((X_2 $$unsorted) (Y_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) X_2) Y_3)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_b X_a F X_2)) (tptp.hAPP X_b X_a F Y_3))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Aa) (tptp.hAPP X_b X_a F Ca))))))))))
% 1.01/1.19  (assume a249 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.order X_b) (tptp.order X_a)) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) (tptp.hAPP X_a X_b F Ba)) Ca)) (=> (forall ((X_2 $$unsorted) (Y_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_2) Y_3)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F X_2)) (tptp.hAPP X_a X_b F Y_3))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) (tptp.hAPP X_a X_b F Aa)) Ca)))))))))
% 1.01/1.19  (assume a250 (forall ((X_a $$unsorted) (A_1 $$unsorted) (B $$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_1) B)) (=> (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) A_1)) (= (tptp.ti (tptp.fun X_a tptp.bool) A_1) (tptp.ti (tptp.fun X_a tptp.bool) B))))))
% 1.01/1.19  (assume a251 (forall ((X_a $$unsorted) (Ca $$unsorted) (A_1 $$unsorted) (B $$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_1) 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) Ca) A_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) Ca) B))))))
% 1.01/1.19  (assume a252 (forall ((X_a $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_1) B)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_1) B)) (not (= (tptp.ti (tptp.fun X_a tptp.bool) A_1) (tptp.ti (tptp.fun X_a tptp.bool) B)))))))
% 1.01/1.19  (assume a253 (forall ((X_a $$unsorted) (A_1 $$unsorted) (B $$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_1) B)) (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_1) B)) (= (tptp.ti (tptp.fun X_a tptp.bool) A_1) (tptp.ti (tptp.fun X_a tptp.bool) B))))))
% 1.01/1.19  (assume a254 (forall ((X_a $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_1) B)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_1) B)))))
% 1.01/1.19  (assume a255 (forall ((X_a $$unsorted) (C_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B) C_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_1) C_1))))))
% 1.01/1.19  (assume a256 (forall ((X_a $$unsorted) (C_1 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) B) C_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_1) C_1))))))
% 1.01/1.19  (assume a257 (forall ((X_b $$unsorted) (X_a $$unsorted) (Q_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) Pa X_1) Y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a (tptp.fun X_b tptp.bool))) Pa) Q_1)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) Q_1 X_1) Y_2))))))
% 1.01/1.19  (assume a258 (forall ((X_a $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.ti (tptp.fun X_a tptp.bool) A_1) (tptp.ti (tptp.fun X_a tptp.bool) B)) (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_1) B)) (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) A_1))))))))
% 1.01/1.19  (assume a259 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted) (Pa $$unsorted) (Q_1 $$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))) Pa) Q_1)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) Pa X_1) Y_2)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) Q_1 X_1) Y_2))))))
% 1.01/1.19  (assume a260 (forall ((X_a $$unsorted) (C_1 $$unsorted) (A_1 $$unsorted) (B $$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_1) B)) (=> (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) C_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)) A_1) C_1))))))
% 1.01/1.19  (assume a261 (forall ((X_a $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted) (B $$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_1) 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) X_1) A_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) X_1) B))))))
% 1.01/1.19  (assume a262 (forall ((X_a $$unsorted) (B $$unsorted) (X_1 $$unsorted) (A_1 $$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) X_1) A_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)) A_1) 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) X_1) B))))))
% 1.01/1.19  (assume a263 (forall ((X_a $$unsorted) (X_1 $$unsorted) (Pa $$unsorted) (Q_1 $$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)) Pa) Q_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool Pa X_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool Q_1 X_1))))))
% 1.01/1.19  (assume a264 (forall ((X_a $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted) (B $$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_1) 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) X_1) A_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) X_1) B))))))
% 1.01/1.19  (assume a265 (forall ((X_a $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.ti (tptp.fun X_a tptp.bool) A_1) (tptp.ti (tptp.fun X_a tptp.bool) B)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B) A_1)))))
% 1.01/1.19  (assume a266 (forall ((X_a $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.ti (tptp.fun X_a tptp.bool) A_1) (tptp.ti (tptp.fun X_a tptp.bool) B)) (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_1) B)))))
% 1.01/1.19  (assume a267 (forall ((X_a $$unsorted) (Q_1 $$unsorted) (Pa $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool Pa 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)) Pa) Q_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool Q_1 X_1))))))
% 1.01/1.19  (assume a268 (forall ((X_a $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (= (tptp.ti (tptp.fun X_a tptp.bool) A_1) (tptp.ti (tptp.fun X_a tptp.bool) B)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_1) B)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B) A_1))))))
% 1.01/1.19  (assume a269 (forall ((X_a $$unsorted) (A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_1) A_1))))
% 1.01/1.19  (assume a270 (forall ((X_a $$unsorted) (R_1 $$unsorted) (S_1 $$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 (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_1)) (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_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)) R_1) S_1)))))
% 1.01/1.19  (assume a271 (forall ((X_b $$unsorted) (X_a $$unsorted) (Q_1 $$unsorted) (Pa $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) Pa X_2) Y_3)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) Q_1 X_2) Y_3)))) (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))) Pa) Q_1)))))
% 1.01/1.19  (assume a272 (forall ((X_b $$unsorted) (X_a $$unsorted) (B $$unsorted) (C_1 $$unsorted) (A_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) A_1)) (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 X_a (tptp.fun X_b tptp.bool) B X_2)) (tptp.hAPP X_a (tptp.fun X_b tptp.bool) C_1 X_2))))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_1) B)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_1) C_1))))))
% 1.01/1.19  (assume a273 (forall ((X_a $$unsorted) (B $$unsorted) (A_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) A_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) X_2) B)))) (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_1) B)))))
% 1.01/1.19  (assume a274 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.order X_a) (tptp.order X_b)) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) Ca) (tptp.hAPP X_a X_b F Ba))) (=> (forall ((X_2 $$unsorted) (Y_3 $$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_3) 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_3)) (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) Ca) (tptp.hAPP X_a X_b F Aa))))))))))
% 1.01/1.19  (assume a275 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.order X_a) (tptp.order X_b)) (forall ((Ca $$unsorted) (F $$unsorted) (Ba $$unsorted) (Aa $$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) Ba) Aa)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) Ca) (tptp.hAPP X_a X_b F Ba))) (=> (forall ((X_2 $$unsorted) (Y_3 $$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) Y_3) 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_3)) (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) Ca) (tptp.hAPP X_a X_b F Aa))))))))))
% 1.01/1.19  (assume a276 (forall ((X_a $$unsorted) (Ca $$unsorted) (A_1 $$unsorted) (B $$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_1) 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) Ca) A_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) Ca) B))))))
% 1.01/1.19  (assume a277 (forall ((X_a $$unsorted) (C_1 $$unsorted) (A_1 $$unsorted) (B $$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_1) B)) (=> (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) C_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 (tptp.fun X_a tptp.bool)) A_1) C_1))))))
% 1.01/1.19  (assume a278 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.order X_b) (tptp.order X_a)) (forall ((F $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Aa) Ba)) (=> (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 Ba)) Ca)) (=> (forall ((X_2 $$unsorted) (Y_3 $$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_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.hAPP X_a X_b F X_2)) (tptp.hAPP X_a X_b F Y_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.hAPP X_a X_b F Aa)) Ca)))))))))
% 1.01/1.19  (assume a279 (forall ((X_1 $$unsorted) (Y_2 $$unsorted) (L_3 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Aa) (tptp.ti tptp.arrow_490897120le_alt Ba))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) L_3) tptp.arrow_2064824852le_Lin)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) X_1) Y_2)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_1322701812_below L_3) Aa) Ba))) (and (not (= (tptp.ti tptp.arrow_490897120le_alt X_1) (tptp.ti tptp.arrow_490897120le_alt Y_2))) (=> (= (tptp.ti tptp.arrow_490897120le_alt Y_2) (tptp.ti tptp.arrow_490897120le_alt Aa)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) X_1) Ba)) L_3))) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt Y_2) (tptp.ti tptp.arrow_490897120le_alt Aa))) (and (=> (= (tptp.ti tptp.arrow_490897120le_alt X_1) (tptp.ti tptp.arrow_490897120le_alt Aa)) (or (= (tptp.ti tptp.arrow_490897120le_alt Y_2) (tptp.ti tptp.arrow_490897120le_alt Ba)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) Ba) Y_2)) L_3)))) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt X_1) (tptp.ti tptp.arrow_490897120le_alt Aa))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) X_1) Y_2)) L_3)))))))))))
% 1.01/1.19  (assume a280 (forall ((M_3 $$unsorted) (K_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.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_3) K_1)) N_1)) (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_3) N_1)) (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_1) N_1))))))))
% 1.01/1.19  (assume a281 (forall ((M_3 $$unsorted) (K_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_3) K_1)) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) N_1)))))
% 1.01/1.19  (assume a282 (forall ((M_3 $$unsorted) (K_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.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_3) K_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) K_1) N_1)))))
% 1.01/1.19  (assume a283 (forall ((N_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) N_1)))))
% 1.01/1.19  (assume a284 (forall ((M_2 $$unsorted) (Na $$unsorted)) (= (not (= M_2 Na)) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) Na)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Na) M_2))))))
% 1.01/1.19  (assume a285 (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (= X Y)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X) Y))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Y) X))))))
% 1.01/1.19  (assume a286 (forall ((N_1 $$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) N_1) N_1)))))
% 1.01/1.19  (assume a287 (forall ((N_1 $$unsorted) (M_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) M_3)) (not (= M_3 N_1)))))
% 1.01/1.19  (assume a288 (forall ((S $$unsorted) (T_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) S) T_3)) (not (= S T_3)))))
% 1.01/1.19  (assume a289 (forall ((Pa $$unsorted) (M_2 $$unsorted) (Na $$unsorted)) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) Na)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) Pa Na) M_2))) (=> (=> (= M_2 Na) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) Pa Na) M_2))) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Na) M_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) Pa Na) M_2))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) Pa Na) M_2)))))))
% 1.01/1.19  (assume a290 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_3) N_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) M_3))))
% 1.01/1.19  (assume a291 (forall ((X $$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)))))
% 1.01/1.19  (assume a292 (forall ((M_3 $$unsorted) (N_1 $$unsorted) (K_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_3) N_1)) K_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_3) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) K_1)))))
% 1.01/1.19  (assume a293 (forall ((K $$unsorted) (M_2 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) M_2) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) Na)) (= M_2 Na))))
% 1.01/1.19  (assume a294 (forall ((M_2 $$unsorted) (K $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_2) K) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Na) K)) (= M_2 Na))))
% 1.01/1.19  (assume a295 (forall ((N_1 $$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) N_1))))
% 1.01/1.19  (assume a296 (forall ((M_3 $$unsorted) (N_1 $$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_3) 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) M_3)))))
% 1.01/1.19  (assume a297 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (= M_3 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) M_3) N_1)))))
% 1.01/1.19  (assume a298 (forall ((K_1 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I) J_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) J_2) K_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I) K_1))))))
% 1.01/1.19  (assume a299 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) N_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) M_3)) (= M_3 N_1)))))
% 1.01/1.19  (assume a300 (forall ((L_3 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (=> (not (= (tptp.ti tptp.arrow_490897120le_alt X_1) (tptp.ti tptp.arrow_490897120le_alt Y_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) L_3) tptp.arrow_2064824852le_Lin)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_1322701812_below L_3) X_1) Y_2)) tptp.arrow_2064824852le_Lin))))))
% 1.01/1.19  (assume a301 (forall ((K $$unsorted) (N_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.inj_on 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)) N_3))))
% 1.01/1.19  (assume a302 (forall ((I $$unsorted) (J_2 $$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) J_2)) I)))))
% 1.01/1.19  (assume a303 (forall ((J_2 $$unsorted) (I $$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)) I)))))
% 1.01/1.19  (assume a304 (forall ((K $$unsorted) (M_2 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) M_2)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) Na))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) Na)))))
% 1.01/1.19  (assume a305 (forall ((M_3 $$unsorted) (I $$unsorted) (J_2 $$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) 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) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J_2) M_3))))))
% 1.01/1.19  (assume a306 (forall ((M_3 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I) J_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_3) J_2))))))
% 1.01/1.19  (assume a307 (forall ((K_1 $$unsorted) (I $$unsorted) (J_2 $$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) 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) K_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_1))))))
% 1.01/1.19  (assume a308 (forall ((K_1 $$unsorted) (L_2 $$unsorted) (I $$unsorted) (J_2 $$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) 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_1) L_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) K_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J_2) L_2)))))))
% 1.01/1.19  (assume a309 (forall ((M_3 $$unsorted) (N_1 $$unsorted) (K_1 $$unsorted) (L_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) K_1) L_2)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_3) L_2) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K_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) M_3) N_1))))))
% 1.01/1.19  (assume a310 (forall ((I $$unsorted) (J_2 $$unsorted) (K_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I) J_2)) K_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I) K_1)))))
% 1.01/1.19  (assume a311 (forall ((M_2 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) Na)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_2) Na)) (not (= M_2 Na))))))
% 1.01/1.19  (assume a312 (forall ((M_2 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_2) Na)) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) Na)) (= M_2 Na)))))
% 1.01/1.19  (assume a313 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_3) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) N_1)))))
% 1.01/1.19  (assume a314 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) N_1)) (=> (not (= M_3 N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_3) N_1))))))
% 1.01/1.19  (assume a315 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_3) N_1)) (= M_3 N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) N_1)))))
% 1.01/1.19  (assume a316 (forall ((N_1 $$unsorted) (M_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_3) N_1)))))
% 1.01/1.19  (assume a317 (forall ((N_1 $$unsorted) (M_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) M_3)))))
% 1.01/1.19  (assume a318 (forall ((M_2 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_2) Na)) (exists ((K_2 $$unsorted)) (= Na (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_2) K_2))))))
% 1.01/1.19  (assume a319 (forall ((K $$unsorted) (M_2 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) M_2)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) Na))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_2) Na)))))
% 1.01/1.19  (assume a320 (forall ((M_3 $$unsorted) (I $$unsorted) (J_2 $$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) 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) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J_2) M_3))))))
% 1.01/1.19  (assume a321 (forall ((M_3 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I) J_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_3) J_2))))))
% 1.01/1.19  (assume a322 (forall ((K_1 $$unsorted) (I $$unsorted) (J_2 $$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) 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) K_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_1))))))
% 1.01/1.19  (assume a323 (forall ((K_1 $$unsorted) (L_2 $$unsorted) (I $$unsorted) (J_2 $$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) 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_1) L_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) K_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J_2) L_2)))))))
% 1.01/1.19  (assume a324 (forall ((M_2 $$unsorted) (K $$unsorted) (F $$unsorted)) (=> (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat F M)) (tptp.hAPP tptp.nat tptp.nat F N))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat F M_2)) K)) (tptp.hAPP tptp.nat tptp.nat F (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_2) K)))))))
% 1.01/1.19  (assume a325 (forall ((I_1 $$unsorted) (J_1 $$unsorted) (F $$unsorted)) (=> (forall ((I_2 $$unsorted) (J $$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 (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))))) (=> (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_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 F I_1)) (tptp.hAPP tptp.nat tptp.nat F J_1)))))))
% 1.01/1.19  (assume a326 (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Y) Z_1))))))
% 1.01/1.19  (assume a327 (forall ((Y $$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))))))
% 1.01/1.19  (assume a328 (forall ((Y $$unsorted) (X $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X) Z_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Y) Z_1))))))
% 1.01/1.19  (assume a329 (forall ((Z_1 $$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))))))
% 1.01/1.19  (assume a330 (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)))))
% 1.01/1.19  (assume a331 (forall ((X_b $$unsorted) (X_a $$unsorted) (R_1 $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.in_rel X_a X_b) R_1) X_1) Y_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod X_a X_b) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod X_a X_b)) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) X_1) Y_2)) R_1)))))
% 1.01/1.19  (assume a332 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) (tptp.hAPP X_a X_b F X_2)) B)))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a X_b)) F) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_1) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.combk (tptp.fun X_b tptp.bool) X_a) B)))))))
% 1.01/1.19  (assume a333 (exists ((L_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) L_1) tptp.arrow_2064824852le_Lin))))
% 1.01/1.19  (assume a334 (forall ((X_b $$unsorted) (X_a $$unsorted) (B $$unsorted) (F $$unsorted) (G $$unsorted) (A_1 $$unsorted)) (=> (forall ((W $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) W) A_1)) (= (tptp.hAPP X_a X_b F W) (tptp.hAPP X_a X_b G W)))) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a X_b)) F) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_1) B))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a X_b)) G) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_1) B)))))))
% 1.01/1.19  (assume a335 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) (tptp.hAPP X_a X_b F X_2)) (tptp.hAPP X_a (tptp.fun X_b tptp.bool) B X_2))))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a X_b)) F) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_1) B))))))
% 1.01/1.19  (assume a336 (forall ((X_a $$unsorted) (X_b $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a X_b)) F) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_1) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.combk (tptp.fun X_b tptp.bool) X_a) B)))) (=> (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.inj_on X_a X_b) F) A_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) 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.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1)) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.nat (tptp.finite_card X_b) B))))))))
% 1.01/1.19  (assume a337 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_3 $$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_2) A_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) Y_3) A_1)) (=> (= (tptp.hAPP X_a X_b F X_2) (tptp.hAPP X_a X_b F Y_3)) (= (tptp.ti X_a X_2) (tptp.ti X_a Y_3)))))) (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.inj_on X_a X_b) F) A_1)))))
% 1.01/1.19  (assume a338 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (G $$unsorted) (A_1 $$unsorted)) (=> (forall ((A_3 $$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) A_3) A_1)) (= (tptp.hAPP X_a X_b F A_3) (tptp.hAPP X_a X_b G A_3)))) (= (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.inj_on X_a X_b) F) A_1)) (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.inj_on X_a X_b) G) A_1))))))
% 1.01/1.19  (assume a339 (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.arrow_660593299e_indi) (tptp.top_top (tptp.fun tptp.arrow_660593299e_indi tptp.bool)))))
% 1.01/1.19  (assume a340 (forall ((X_a $$unsorted) (X_b $$unsorted) (G $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a X_b)) F) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_1) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.combk (tptp.fun X_b tptp.bool) X_a) B)))) (=> (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.inj_on X_a X_b) F) A_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_b X_a) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun (tptp.fun X_b X_a) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_b X_a)) G) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_b X_a) tptp.bool) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_b X_a) tptp.bool)) (tptp.pi X_b X_a) B) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.combk (tptp.fun X_a tptp.bool) X_b) A_1)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.inj_on X_b X_a) G) B)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) B)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.nat (tptp.finite_card X_b) B))))))))))
% 1.01/1.19  (assume a341 (forall ((X_a $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)) (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_1)))))))
% 1.01/1.19  (assume a342 (forall ((X_a $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) B))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_1) B)))))))
% 1.01/1.19  (assume a343 (forall ((X_a $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B)) (=> (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_1) 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.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) B)))))))
% 1.01/1.19  (assume a344 (forall ((X_a $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_1) B)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) B)))))))
% 1.01/1.19  (assume a345 (forall ((X_a $$unsorted) (Q_1 $$unsorted) (Pa $$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) Pa))) (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) Pa)) Q_1)))))))
% 1.01/1.19  (assume a346 (forall ((K $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less tptp.nat)) K))))))
% 1.01/1.19  (assume a347 (forall ((K $$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))))))
% 1.01/1.19  (assume a348 (forall ((X_a $$unsorted)) (=> (tptp.finite_finite X_a) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1))))))
% 1.01/1.19  (assume a349 (forall ((X_a $$unsorted)) (=> (tptp.finite_finite X_a) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1))))))
% 1.01/1.19  (assume a350 (= (tptp.hAPP (tptp.fun tptp.product_unit tptp.bool) tptp.nat (tptp.finite_card tptp.product_unit) (tptp.top_top (tptp.fun tptp.product_unit tptp.bool))) (tptp.one_one tptp.nat)))
% 1.01/1.19  (assume a351 (forall ((X_a $$unsorted) (Pa $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combs X_a tptp.bool tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fdisj) Pa)) Q_1)))) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) Pa))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) Q_1)))))))
% 1.01/1.19  (assume a352 (forall ((Na $$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)) Na))) Na)))
% 1.01/1.19  (assume a353 (forall ((X_a $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1))))))
% 1.01/1.19  (assume a354 (forall ((X_a $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B)) (=> (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_1) B)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1))))))
% 1.01/1.19  (assume a355 (forall ((X_a $$unsorted)) (=> (tptp.finite_finite X_a) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.top_top (tptp.fun X_a tptp.bool)))))))
% 1.01/1.19  (assume a356 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.top_top (tptp.fun X_a tptp.bool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) (tptp.top_top (tptp.fun X_b tptp.bool)))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.product_prod X_a X_b)) (tptp.top_top (tptp.fun (tptp.product_prod X_a X_b) tptp.bool))))))))
% 1.01/1.19  (assume a357 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.sum_sum X_a X_b)) (tptp.top_top (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)))) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.top_top (tptp.fun X_a tptp.bool)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) (tptp.top_top (tptp.fun X_b tptp.bool))))))))
% 1.01/1.19  (assume a358 (forall ((X_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.option X_a) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.option X_a)) (tptp.top_top (tptp.fun (tptp.option X_a) tptp.bool)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.top_top (tptp.fun X_a tptp.bool)))))))
% 1.01/1.19  (assume a359 (forall ((X_a $$unsorted) (Pa $$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) Pa))) (= (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 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) Pa)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.top_top (tptp.fun X_a tptp.bool))))))))
% 1.01/1.19  (assume a360 (forall ((X_a $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.top_top (tptp.fun X_a tptp.bool)))) (=> (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) (tptp.top_top (tptp.fun X_a tptp.bool)))) (= (tptp.ti (tptp.fun X_a tptp.bool) A_1) (tptp.top_top (tptp.fun X_a tptp.bool)))))))
% 1.01/1.19  (assume a361 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.fun X_a X_b)) (tptp.top_top (tptp.fun (tptp.fun X_a X_b) tptp.bool)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) (tptp.top_top (tptp.fun X_b tptp.bool)))))))
% 1.01/1.19  (assume a362 (forall ((X_a $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) B)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1))) (= (tptp.ti (tptp.fun X_a tptp.bool) A_1) (tptp.ti (tptp.fun X_a tptp.bool) B)))))))
% 1.01/1.19  (assume a363 (forall ((X_a $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.top_top (tptp.fun X_a tptp.bool))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)) (exists ((A_3 $$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) A_3) A_1))))))))
% 1.01/1.19  (assume a364 (forall ((X_b $$unsorted) (X_a $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) B)) (= (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_1) B)) (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_1)) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.nat (tptp.finite_card X_b) B)))))))
% 1.01/1.19  (assume a365 (forall ((X_b $$unsorted) (X_a $$unsorted) (B $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Z $$unsorted) (G $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) X_a) tptp.bool (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun (tptp.fun X_b tptp.bool) X_a) tptp.bool) (tptp.hAPP X_a (tptp.fun (tptp.fun X_b X_a) (tptp.fun (tptp.fun (tptp.fun X_b tptp.bool) X_a) tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun (tptp.fun X_b X_a) (tptp.fun (tptp.fun (tptp.fun X_b tptp.bool) X_a) tptp.bool))) (tptp.finite908156982e_idem X_a X_b) F) Z) G) Fa)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) A_1)) (=> (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) A_1)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) F (tptp.hAPP (tptp.fun X_b tptp.bool) X_a Fa B)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a Fa A_1)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a Fa A_1)))))))
% 1.01/1.19  (assume a366 (not (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.top_top (tptp.fun tptp.nat tptp.bool))))))
% 1.01/1.19  (assume a367 (forall ((X_b $$unsorted) (X_a $$unsorted) (X_1 $$unsorted) (F $$unsorted) (Z $$unsorted) (G $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) X_a) tptp.bool (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun (tptp.fun X_b tptp.bool) X_a) tptp.bool) (tptp.hAPP X_a (tptp.fun (tptp.fun X_b X_a) (tptp.fun (tptp.fun (tptp.fun X_b tptp.bool) X_a) tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun (tptp.fun X_b X_a) (tptp.fun (tptp.fun (tptp.fun X_b tptp.bool) X_a) tptp.bool))) (tptp.finite908156982e_idem X_a X_b) F) Z) G) Fa)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) F X_1) X_1) (tptp.ti X_a X_1)))))
% 1.01/1.19  (assume a368 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.sum_sum X_a X_b)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)) (tptp.sum_Plus X_a X_b) A_1) B))) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) B))))))
% 1.01/1.19  (assume a369 (forall ((X_b $$unsorted) (X_a $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) B)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.sum_sum X_a X_b)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)) (tptp.sum_Plus X_a X_b) A_1) B)))))))
% 1.01/1.19  (assume a370 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.sum_sum X_a X_b)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)) (tptp.sum_Plus X_a X_b) A_1) B))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)))))
% 1.01/1.19  (assume a371 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.sum_sum X_a X_b)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)) (tptp.sum_Plus X_a X_b) A_1) B))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) B)))))
% 1.01/1.19  (assume a372 (forall ((X_b $$unsorted) (X_a $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (Z $$unsorted) (G $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) X_a) tptp.bool (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun (tptp.fun X_b tptp.bool) X_a) tptp.bool) (tptp.hAPP X_a (tptp.fun (tptp.fun X_b X_a) (tptp.fun (tptp.fun (tptp.fun X_b tptp.bool) X_a) tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun (tptp.fun X_b X_a) (tptp.fun (tptp.fun (tptp.fun X_b tptp.bool) X_a) tptp.bool))) (tptp.finite908156982e_idem X_a X_b) F) Z) G) Fa)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) A_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) X_1) A_1)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) F (tptp.hAPP X_b X_a G X_1)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a Fa A_1)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a Fa A_1)))))))
% 1.01/1.19  (assume a373 (forall ((X_b $$unsorted) (X_a $$unsorted)) (= (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)) (tptp.sum_Plus X_a X_b) (tptp.top_top (tptp.fun X_a tptp.bool))) (tptp.top_top (tptp.fun X_b tptp.bool))) (tptp.top_top (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)))))
% 1.01/1.19  (assume a374 (forall ((Pa $$unsorted) (I_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combs tptp.nat tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.nat) tptp.fconj) Pa)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less tptp.nat)) I_1)))))))
% 1.01/1.19  (assume a375 (forall ((N_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) N_3)) (exists ((M $$unsorted)) (forall ((X_2 $$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_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) X_2) M))))))))
% 1.01/1.19  (assume a376 (forall ((N_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) N_3)) (exists ((M $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) X_2) N_3)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X_2) M))))))))
% 1.01/1.19  (assume a377 (forall ((U $$unsorted) (F $$unsorted)) (=> (forall ((N $$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) (tptp.hAPP tptp.nat tptp.nat F N)))) (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)))))))
% 1.01/1.19  (assume a378 (forall ((Na $$unsorted) (N_3 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) X_2) N_3)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X_2) Na)))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) N_3)))))
% 1.01/1.19  (assume a379 (forall ((X_b $$unsorted) (X_a $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (and (=> (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) B))) (= (tptp.hAPP (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) tptp.nat (tptp.finite_card (tptp.sum_sum X_a X_b)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)) (tptp.sum_Plus X_a X_b) A_1) B)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1)) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.nat (tptp.finite_card X_b) B)))) (=> (not (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) B)))) (= (tptp.hAPP (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) tptp.nat (tptp.finite_card (tptp.sum_sum X_a X_b)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)) (tptp.sum_Plus X_a X_b) A_1) B)) (tptp.zero_zero tptp.nat))))))
% 1.01/1.19  (assume a380 (forall ((N_1 $$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) N_1) (tptp.zero_zero tptp.nat))))))
% 1.01/1.19  (assume a381 (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.zero_zero tptp.nat)) N_1))))
% 1.01/1.19  (assume a382 (forall ((N_1 $$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)))))
% 1.01/1.19  (assume a383 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_3) N_1)) (not (= N_1 (tptp.zero_zero tptp.nat))))))
% 1.01/1.19  (assume a384 (forall ((N_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) (tptp.zero_zero tptp.nat))))))
% 1.01/1.19  (assume a385 (forall ((Na $$unsorted)) (= (not (= Na (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)) Na)))))
% 1.01/1.19  (assume a386 (forall ((N_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) (tptp.zero_zero tptp.nat))))))
% 1.01/1.19  (assume a387 (forall ((N_1 $$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_1) N_1)))
% 1.01/1.19  (assume a388 (forall ((M_3 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_3) (tptp.zero_zero tptp.nat)) M_3)))
% 1.01/1.19  (assume a389 (forall ((M_2 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_2) Na) (tptp.zero_zero tptp.nat)) (and (= M_2 (tptp.zero_zero tptp.nat)) (= Na (tptp.zero_zero tptp.nat))))))
% 1.01/1.19  (assume a390 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_3) N_1) M_3) (= N_1 (tptp.zero_zero tptp.nat)))))
% 1.01/1.19  (assume a391 (forall ((Na $$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) Na) (tptp.zero_zero tptp.nat))) (= Na (tptp.zero_zero tptp.nat)))))
% 1.01/1.19  (assume a392 (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.zero_zero tptp.nat)) N_1))))
% 1.01/1.19  (assume a393 (forall ((X_a $$unsorted)) (=> (tptp.zero X_a) (forall ((X_1 $$unsorted)) (= (= (tptp.zero_zero X_a) (tptp.ti X_a X_1)) (= (tptp.ti X_a X_1) (tptp.zero_zero X_a)))))))
% 1.01/1.19  (assume a394 (forall ((X_a $$unsorted)) (=> (tptp.zero_neq_one X_a) (not (= (tptp.zero_zero X_a) (tptp.one_one X_a))))))
% 1.01/1.19  (assume a395 (forall ((X_a $$unsorted)) (=> (tptp.zero_neq_one X_a) (not (= (tptp.one_one X_a) (tptp.zero_zero X_a))))))
% 1.01/1.19  (assume a396 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((A_2 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) (tptp.zero_zero X_a)) (tptp.ti X_a A_2))))))
% 1.01/1.19  (assume a397 (forall ((X_a $$unsorted)) (=> (tptp.monoid_add X_a) (forall ((A_2 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) (tptp.zero_zero X_a)) (tptp.ti X_a A_2))))))
% 1.01/1.19  (assume a398 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((Aa $$unsorted)) (= (= (tptp.zero_zero X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Aa) Aa)) (= (tptp.ti X_a Aa) (tptp.zero_zero X_a)))))))
% 1.01/1.19  (assume a399 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((A_2 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.zero_zero X_a)) A_2) (tptp.ti X_a A_2))))))
% 1.01/1.19  (assume a400 (forall ((X_a $$unsorted)) (=> (tptp.monoid_add X_a) (forall ((A_2 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.zero_zero X_a)) A_2) (tptp.ti X_a A_2))))))
% 1.01/1.19  (assume a401 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_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) 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))) (tptp.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) B_1)) (tptp.zero_zero X_a)))))))))
% 1.01/1.19  (assume a402 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted) (C $$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_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.plus_plus X_a) A_2) C)))))))))
% 1.01/1.19  (assume a403 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B_1 $$unsorted) (C $$unsorted) (A_2 $$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.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) 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_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)))))))))
% 1.01/1.19  (assume a404 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((Y_2 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) X_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) Y_2)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_1) Y_2) (tptp.zero_zero X_a)) (and (= (tptp.ti X_a X_1) (tptp.zero_zero X_a)) (= (tptp.ti X_a Y_2) (tptp.zero_zero X_a))))))))))
% 1.01/1.19  (assume a405 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_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.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)) (tptp.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) B_1)))))))))
% 1.01/1.19  (assume a406 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((Aa $$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) Aa) Aa)) (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) Aa) (tptp.zero_zero X_a))))))))
% 1.01/1.19  (assume a407 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((Aa $$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) Aa) Aa))) (tptp.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)) Aa)))))))
% 1.01/1.19  (assume a408 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) B_1)) (tptp.zero_zero X_a)))))))))
% 1.01/1.19  (assume a409 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((B_1 $$unsorted) (C $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) C)))))))))
% 1.01/1.19  (assume a410 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_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.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)) (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) B_1)))))))))
% 1.01/1.19  (assume a411 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((Aa $$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) Aa) Aa)) (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) Aa) (tptp.zero_zero X_a))))))))
% 1.01/1.19  (assume a412 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((Aa $$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) Aa) Aa))) (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)) Aa)))))))
% 1.01/1.19  (assume a413 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.one_one X_a))))))
% 1.01/1.19  (assume a414 (forall ((X_a $$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)))))))
% 1.01/1.19  (assume a415 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.one_one X_a))))))
% 1.01/1.19  (assume a416 (forall ((X_a $$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)))))))
% 1.01/1.19  (assume a417 (forall ((M_2 $$unsorted) (Na $$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) M_2) Na))) (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)) 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.zero_zero tptp.nat)) Na))))))
% 1.01/1.19  (assume a418 (forall ((X_a $$unsorted) (A_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1) (tptp.zero_zero tptp.nat)))))
% 1.01/1.19  (assume a419 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) B_1)) (tptp.zero_zero X_a)))))))))
% 1.01/1.19  (assume a420 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_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) 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))) (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) B_1)) (tptp.zero_zero X_a)))))))))
% 1.01/1.19  (assume a421 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B_1 $$unsorted) (C $$unsorted) (A_2 $$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.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) 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_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)))))))))
% 1.01/1.19  (assume a422 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B_1 $$unsorted) (C $$unsorted) (A_2 $$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.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) 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_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)))))))))
% 1.01/1.19  (assume a423 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) B_1)))))))))
% 1.01/1.19  (assume a424 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_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.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)) (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) B_1)))))))))
% 1.01/1.19  (assume a425 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.one_one X_a)))))))
% 1.01/1.19  (assume a426 (forall ((X_a $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)))))
% 1.01/1.19  (assume a427 (forall ((X_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.top_top (tptp.fun X_a tptp.bool)))) (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) (tptp.top_top (tptp.fun X_a tptp.bool))))))))
% 1.01/1.19  (assume a428 (forall ((Na $$unsorted) (Pa $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa (tptp.zero_zero tptp.nat)))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa Na)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) K_2) Na)) (forall ((I_2 $$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_2)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa I_2))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K_2) (tptp.one_one tptp.nat))))))))))
% 1.01/1.19  (assume a429 (forall ((X_a $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)) (=> (=> (exists ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_1))) (= (tptp.one_one tptp.nat) (tptp.zero_zero tptp.nat))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1) (tptp.zero_zero tptp.nat))))))
% 1.01/1.19  (assume a430 (forall ((Na $$unsorted) (Pa $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa (tptp.zero_zero tptp.nat)))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa Na)) (exists ((K_2 $$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) K_2) Na)) (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_2) K_2)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa I_2))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa K_2))))))))
% 1.01/1.19  (assume a431 (forall ((I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I) J_2)) (exists ((K_2 $$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)) K_2)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I) K_2) J_2))))))
% 1.01/1.19  (assume a432 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((Aa $$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) Aa) Aa)) (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) Aa) (tptp.zero_zero X_a))))))))
% 1.01/1.19  (assume a433 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((Aa $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Aa) Aa) (tptp.zero_zero X_a)) (= (tptp.ti X_a Aa) (tptp.zero_zero X_a)))))))
% 1.01/1.19  (assume a434 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.fun X_a X_b)) (tptp.top_top (tptp.fun (tptp.fun X_a X_b) tptp.bool)))) (=> (not (= (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.nat (tptp.finite_card X_b) (tptp.top_top (tptp.fun X_b tptp.bool))) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.top_top (tptp.fun X_a tptp.bool))))))))
% 1.01/1.19  (assume a435 (forall ((X_a $$unsorted)) (=> (tptp.semiri456707255roduct X_a) (forall ((Ba $$unsorted) (Aa $$unsorted)) (= (= (tptp.ti X_a Ba) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Ba) Aa)) (= (tptp.ti X_a Aa) (tptp.zero_zero X_a)))))))
% 1.01/1.19  (assume a436 (forall ((N_1 $$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 N_1)))))
% 1.01/1.19  (assume a437 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_3) 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.suc M_3)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))))))
% 1.01/1.19  (assume a438 (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)))))
% 1.01/1.19  (assume a439 (forall ((N_1 $$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) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) N_1)))))
% 1.01/1.19  (assume a440 (forall ((M_2 $$unsorted) (Na $$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) M_2) Na))) (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 Na)) M_2)))))
% 1.01/1.19  (assume a441 (forall ((M_2 $$unsorted) (Na $$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) (tptp.hAPP tptp.nat tptp.nat tptp.suc Na))) (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_2) Na)) (= M_2 (tptp.hAPP tptp.nat tptp.nat tptp.suc Na))))))
% 1.01/1.19  (assume a442 (forall ((Na $$unsorted) (M_2 $$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) (tptp.hAPP tptp.nat tptp.nat tptp.suc Na)) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_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) Na) M_2)))))
% 1.01/1.19  (assume a443 (forall ((M_3 $$unsorted) (N_1 $$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) M_3) 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) M_3) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))))))
% 1.01/1.19  (assume a444 (forall ((M_3 $$unsorted) (N_1 $$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) M_3) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (=> (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_3) N_1))) (= M_3 (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))))))
% 1.01/1.19  (assume a445 (forall ((M_3 $$unsorted) (N_1 $$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 M_3)) 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) M_3) N_1)))))
% 1.01/1.19  (assume a446 (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))))
% 1.01/1.19  (assume a447 (forall ((Nat_4 $$unsorted) (Nat_3 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat tptp.suc Nat_4) (tptp.hAPP tptp.nat tptp.nat tptp.suc Nat_3)) (= Nat_4 Nat_3))))
% 1.01/1.19  (assume a448 (forall ((N_1 $$unsorted)) (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1) N_1))))
% 1.01/1.19  (assume a449 (forall ((N_1 $$unsorted)) (not (= N_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)))))
% 1.01/1.19  (assume a450 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_3)) N_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_3) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)))))
% 1.01/1.19  (assume a451 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_3)) 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) M_3) N_1)))))
% 1.01/1.19  (assume a452 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_3) (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.plus_plus tptp.nat) M_3) N_1)))))
% 1.01/1.19  (assume a453 (forall ((M_2 $$unsorted) (Na $$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_2) Na))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Na) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2))))))
% 1.01/1.19  (assume a454 (forall ((M_2 $$unsorted) (Na $$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) (tptp.hAPP tptp.nat tptp.nat tptp.suc Na))) (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_2) Na)) (= M_2 Na)))))
% 1.01/1.19  (assume a455 (forall ((M_2 $$unsorted) (Na $$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_2)) (tptp.hAPP tptp.nat tptp.nat tptp.suc Na))) (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) Na)))))
% 1.01/1.19  (assume a456 (forall ((Na $$unsorted) (M_2 $$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) Na) 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) Na) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2))) (= Na M_2)))))
% 1.01/1.19  (assume a457 (forall ((N_1 $$unsorted) (M_3 $$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) M_3))) (=> (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 M_3))) (= M_3 N_1)))))
% 1.01/1.19  (assume a458 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_3) 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) M_3) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))))))
% 1.01/1.19  (assume a459 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_3) N_1)) (=> (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc M_3) 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.suc M_3)) N_1))))))
% 1.01/1.19  (assume a460 (forall ((K_1 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I) J_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) J_2) K_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc I)) K_1))))))
% 1.01/1.19  (assume a461 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_3) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_3) N_1))) (= M_3 N_1)))))
% 1.01/1.19  (assume a462 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_3)) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_3) N_1)))))
% 1.01/1.19  (assume a463 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_3)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_3) N_1)))))
% 1.01/1.19  (assume a464 (= (tptp.one_one tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))
% 1.01/1.19  (assume a465 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_3)) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_3) N_1)))))
% 1.01/1.19  (assume a466 (forall ((M_2 $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_2) Na)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Na) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2))) (= Na M_2)))))
% 1.01/1.19  (assume a467 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_3) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_3)) N_1)))))
% 1.01/1.19  (assume a468 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_3) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))))))
% 1.01/1.19  (assume a469 (forall ((M_2 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)) Na)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) Na)))))
% 1.01/1.19  (assume a470 (forall ((M_2 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) (tptp.hAPP tptp.nat tptp.nat tptp.suc Na))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_2) Na)))))
% 1.01/1.19  (assume a471 (forall ((Na $$unsorted) (M_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Na) M_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc Na)) M_2)))))
% 1.01/1.19  (assume a472 (forall ((M_2 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) Na)) (exists ((K_2 $$unsorted)) (= Na (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_2) K_2)))))))
% 1.01/1.19  (assume a473 (forall ((I $$unsorted) (M_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I) (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_3) I))))))
% 1.01/1.19  (assume a474 (forall ((I $$unsorted) (M_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I) (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) M_3))))))
% 1.01/1.19  (assume a475 (forall ((M_2 $$unsorted) (Na $$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) M_2) Na)) (or (and (= M_2 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (= Na (tptp.zero_zero tptp.nat))) (and (= M_2 (tptp.zero_zero tptp.nat)) (= Na (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))))
% 1.01/1.19  (assume a476 (forall ((M_2 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M_2) Na) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (or (and (= M_2 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (= Na (tptp.zero_zero tptp.nat))) (and (= M_2 (tptp.zero_zero tptp.nat)) (= Na (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))))
% 1.01/1.19  (assume a477 (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) Na)) (exists ((M $$unsorted)) (= Na (tptp.hAPP tptp.nat tptp.nat tptp.suc M))))))
% 1.01/1.19  (assume a478 (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Na) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (= Na (tptp.zero_zero tptp.nat)))))
% 1.01/1.19  (assume a479 (forall ((M_2 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) (tptp.hAPP tptp.nat tptp.nat tptp.suc Na))) (or (= M_2 (tptp.zero_zero tptp.nat)) (exists ((J $$unsorted)) (and (= M_2 (tptp.hAPP tptp.nat tptp.nat tptp.suc J)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) J) Na))))))))
% 1.01/1.19  (assume a480 (forall ((N_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.inj_on tptp.nat tptp.nat) tptp.suc) N_3))))
% 1.01/1.19  (assume a481 (forall ((M_3 $$unsorted)) (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc M_3) (tptp.zero_zero tptp.nat)))))
% 1.01/1.19  (assume a482 (forall ((M_3 $$unsorted)) (not (= (tptp.zero_zero tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_3)))))
% 1.01/1.19  (assume a483 (forall ((Nat_2 $$unsorted)) (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc Nat_2) (tptp.zero_zero tptp.nat)))))
% 1.01/1.19  (assume a484 (forall ((M_3 $$unsorted)) (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc M_3) (tptp.zero_zero tptp.nat)))))
% 1.01/1.19  (assume a485 (forall ((Nat_1 $$unsorted)) (not (= (tptp.zero_zero tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc Nat_1)))))
% 1.01/1.19  (assume a486 (forall ((M_3 $$unsorted)) (not (= (tptp.zero_zero tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_3)))))
% 1.01/1.19  (assume a487 (forall ((X_2 $$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)))))
% 1.01/1.19  (assume a488 (forall ((Na $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat)) Na))) (tptp.hAPP tptp.nat tptp.nat tptp.suc Na))))
% 1.01/1.19  (assume a489 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_2 $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) A_2))))))
% 1.01/1.19  (assume a490 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_2 $$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_2) (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_2) D)))))))
% 1.01/1.19  (assume a491 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_2 $$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_2) (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_2) C)) D))))))
% 1.01/1.19  (assume a492 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_2 $$unsorted) (B_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) A_2) B_1)) C) (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) B_1) C)))))))
% 1.01/1.19  (assume a493 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_2 $$unsorted) (B_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) A_2) B_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.plus_plus X_a) A_2) C)) B_1))))))
% 1.01/1.19  (assume a494 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) B_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) D)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B_1) D)))))))
% 1.01/1.19  (assume a495 (forall ((I_1 $$unsorted) (M_4 $$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_4)) (= (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_4))) (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_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.member tptp.nat)) M_4))) (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_1)))))))))
% 1.01/1.19  (assume a496 (forall ((I_1 $$unsorted) (M_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) (tptp.zero_zero tptp.nat)) M_4)) (not (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combs tptp.nat tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.nat) tptp.fconj) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat)) M_4))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc I_1))))) (tptp.zero_zero tptp.nat))))))
% 1.01/1.19  (assume a497 (forall ((I_1 $$unsorted) (M_4 $$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_4))) (= (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_4))) (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_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.member tptp.nat)) M_4))) (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_1)))))))))
% 1.01/1.19  (assume a498 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_2 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.zero_zero X_a)) A_2) (tptp.ti X_a A_2))))))
% 1.01/1.19  (assume a499 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_2 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) (tptp.zero_zero X_a)) (tptp.ti X_a A_2))))))
% 1.01/1.19  (assume a500 (forall ((Pa $$unsorted) (I_1 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_1) J_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa J_1)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_2) J_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa (tptp.hAPP tptp.nat tptp.nat tptp.suc I_2))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa I_2))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa I_1)))))))
% 1.01/1.19  (assume a501 (forall ((M_3 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_3) N_1)) (exists ((K_2 $$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.plus_plus tptp.nat) M_3) K_2)))))))
% 1.01/1.19  (assume a502 (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (exists ((M $$unsorted)) (= N_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc M))))))
% 1.01/1.19  (assume a503 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((Na $$unsorted) (N_2 $$unsorted) (F $$unsorted)) (=> (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a F N)) (tptp.hAPP tptp.nat X_a F (tptp.hAPP tptp.nat tptp.nat tptp.suc N))))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Na) N_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a F Na)) (tptp.hAPP tptp.nat X_a F N_2)))))))))
% 1.01/1.19  (assume a504 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((Na $$unsorted) (N_2 $$unsorted) (F $$unsorted)) (=> (forall ((N $$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 F N)) (tptp.hAPP tptp.nat X_a F (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) Na) 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 Na)) (tptp.hAPP tptp.nat X_a F N_2)))))))))
% 1.01/1.19  (assume a505 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((Na $$unsorted) (M_2 $$unsorted) (F $$unsorted)) (=> (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a F N)) (tptp.hAPP tptp.nat X_a F (tptp.hAPP tptp.nat tptp.nat tptp.suc N))))) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a F Na)) (tptp.hAPP tptp.nat X_a F M_2))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Na) M_2))))))))
% 1.01/1.19  (assume a506 (forall ((N_1 $$unsorted)) (= (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.plus_plus tptp.nat) (tptp.one_one tptp.nat)) N_1))))
% 1.01/1.19  (assume a507 (forall ((N_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) (tptp.one_one tptp.nat)))))
% 1.01/1.19  (assume a508 (forall ((N_1 $$unsorted) (M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) M_1)) (exists ((M $$unsorted)) (= M_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc M))))))
% 1.01/1.19  (assume a509 (forall ((I $$unsorted) (K_1 $$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) K_1)) (=> (not (= K_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc I))) (not (forall ((J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I) J)) (not (= K_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc J))))))))))
% 1.01/1.19  (assume a510 (forall ((I $$unsorted) (K_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc I)) K_1)) (not (forall ((J $$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) J)) (not (= K_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc J)))))))))
% 1.01/1.19  (assume a511 (forall ((N_1 $$unsorted)) (=> (not (= N_1 (tptp.zero_zero tptp.nat))) (exists ((M $$unsorted)) (= N_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc M))))))
% 1.01/1.19  (assume a512 (forall ((Y $$unsorted)) (=> (not (= Y (tptp.zero_zero tptp.nat))) (not (forall ((Nat $$unsorted)) (not (= Y (tptp.hAPP tptp.nat tptp.nat tptp.suc Nat))))))))
% 1.01/1.19  (assume a513 (forall ((Pa $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa K)) (=> (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa (tptp.hAPP tptp.nat tptp.nat tptp.suc N))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa N)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa (tptp.zero_zero tptp.nat)))))))
% 1.01/1.19  (assume a514 (forall ((Na $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa (tptp.zero_zero tptp.nat))) (=> (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa (tptp.hAPP tptp.nat tptp.nat tptp.suc N))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool Pa Na))))))
% 1.01/1.19  (assume a515 (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)))))))
% 1.01/1.19  (assume a516 (forall ((X_a $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP tptp.nat (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun tptp.nat (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun X_a tptp.nat) (tptp.fun tptp.nat (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat))) (tptp.finite_fold_image tptp.nat X_a) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun X_a tptp.nat) (tptp.combk tptp.nat X_a) (tptp.one_one tptp.nat))) (tptp.zero_zero tptp.nat)) A_1)))))
% 1.01/1.19  (assume a517 (forall ((X_a $$unsorted) (A_1 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP tptp.nat (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun tptp.nat (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun X_a tptp.nat) (tptp.fun tptp.nat (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat))) (tptp.finite_fold_image tptp.nat X_a) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun X_a tptp.nat) (tptp.combk tptp.nat X_a) (tptp.one_one tptp.nat))) (tptp.zero_zero tptp.nat)) A_1))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1) (tptp.zero_zero tptp.nat))))))
% 1.01/1.19  (assume a518 (= (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.arrow_660593299e_indi tptp.nat) tptp.h) (tptp.top_top (tptp.fun tptp.arrow_660593299e_indi tptp.bool))) (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.fun tptp.arrow_660593299e_indi tptp.bool) tptp.nat (tptp.finite_card tptp.arrow_660593299e_indi) (tptp.top_top (tptp.fun tptp.arrow_660593299e_indi tptp.bool))))))
% 1.01/1.19  (assume a519 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((Aa $$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) Aa) (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)) Aa)) Aa)) (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) Aa) (tptp.zero_zero X_a)))))))))
% 1.01/1.19  (assume a520 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_1 $$unsorted) (Ba $$unsorted) (F $$unsorted) (X_1 $$unsorted)) (=> (= (tptp.ti X_a Ba) (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_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) Ba) (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_1)))))))
% 1.01/1.19  (assume a521 (forall ((X_b $$unsorted) (X_a $$unsorted) (Ha $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) Fa)) (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) Ha) Fa))))))
% 1.01/1.19  (assume a522 (forall ((L $$unsorted) (U $$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)))))
% 1.01/1.19  (assume a523 (not (forall ((H $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) tptp.bool) (tptp.inj_on tptp.arrow_660593299e_indi tptp.nat) H) (tptp.top_top (tptp.fun tptp.arrow_660593299e_indi tptp.bool)))) (not (= (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.arrow_660593299e_indi tptp.nat) H) (tptp.top_top (tptp.fun tptp.arrow_660593299e_indi tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) tptp.nat (tptp.finite_card tptp.arrow_660593299e_indi) (tptp.top_top (tptp.fun tptp.arrow_660593299e_indi tptp.bool))))))))))
% 1.01/1.19  (assume a524 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Aa $$unsorted) (Ba $$unsorted) (Ca $$unsorted) (Da $$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) Aa) Ba)) (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) Ca) Da))) (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) Ba) Aa)) (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) Ca) Aa)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Ba) Da)))))))))
% 1.01/1.19  (assume a525 (forall ((X_a $$unsorted) (X_b $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun (tptp.fun X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a X_b)) F) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) tptp.bool)) (tptp.pi X_a X_b) A_1) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.combk (tptp.fun X_b tptp.bool) X_a) B)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_a X_b) F) A_1)) B)))))
% 1.01/1.19  (assume a526 (forall ((X_a $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_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)) A_1) (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) F) A_1))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.inj_on X_a X_a) F) A_1))))))
% 1.01/1.19  (assume a527 (forall ((X_a $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_a X_a) F) A_1)) A_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.inj_on X_a X_a) F) A_1)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_a X_a) F) A_1) (tptp.ti (tptp.fun X_a tptp.bool) A_1)))))))
% 1.01/1.19  (assume a528 (forall ((X_a $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.top_top (tptp.fun X_a tptp.bool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.inj_on X_a X_a) F) (tptp.top_top (tptp.fun X_a tptp.bool)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_a X_a) F) (tptp.top_top (tptp.fun X_a tptp.bool))) (tptp.top_top (tptp.fun X_a tptp.bool)))))))
% 1.01/1.19  (assume a529 (forall ((X_a $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.top_top (tptp.fun X_a tptp.bool)))) (=> (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_a X_a) F) (tptp.top_top (tptp.fun X_a tptp.bool))) (tptp.top_top (tptp.fun X_a tptp.bool))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.inj_on X_a X_a) F) (tptp.top_top (tptp.fun X_a tptp.bool))))))))
% 1.01/1.19  (assume a530 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_1 $$unsorted) (B $$unsorted) (F $$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.inj_on X_a X_b) F) (tptp.top_top (tptp.fun X_a tptp.bool)))) (= (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_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) B))) (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_1) B))))))
% 1.01/1.19  (assume a531 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 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_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_1))) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1))))))
% 1.01/1.19  (assume a532 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)) (=> (= (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_1)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1)) (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.inj_on X_a X_b) F) A_1))))))
% 1.01/1.19  (assume a533 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_1)) (= (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.inj_on X_a X_b) F) A_1)) (= (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_1)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_1))))))
% 1.01/1.19  (assume a534 (forall ((X_a $$unsorted) (X_b $$unsorted) (F $$unsorted) (A_1 $$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.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) (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_1))) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.nat (tptp.finite_card X_b) A_1))) (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.inj_on X_b X_a) F) A_1))))))
% 1.01/1.19  (assume a535 (forall ((X_a $$unsorted)) (=> (tptp.ring_char_0 X_a) (forall ((Aa $$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) Aa) (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) Aa) Aa) (tptp.zero_zero X_a)) (= (tptp.ti X_a Aa) (tptp.zero_zero X_a))))))))
% 1.01/1.19  (assume a536 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.zero_zero X_a)) (tptp.ring_1_Ints X_a))))))
% 1.01/1.19  (assume a537 (forall ((X_a $$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))))))
% 1.01/1.19  (assume a538 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) Aa) (tptp.ring_1_Ints X_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) Ba) (tptp.ring_1_Ints X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Aa) Ba)) (tptp.ring_1_Ints X_a)))))))))
% 1.01/1.19  (assume a539 (forall ((X_b $$unsorted) (X_a $$unsorted) (A_1 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.hAPP X_b X_a (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_b X_a)) (tptp.hilbert_inv_into X_a X_b) A_1) F) X_1) (tptp.hAPP X_b X_a (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_b X_a)) (tptp.hilbert_inv_into X_a X_b) A_1) F) Y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) X_1) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_a X_b) F) A_1))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) Y_2) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_a X_b) F) A_1))) (= (tptp.ti X_b X_1) (tptp.ti X_b Y_2)))))))
% 1.01/1.19  (assume a540 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_1 $$unsorted) (F $$unsorted) (A_1 $$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) X_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_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) (tptp.hAPP X_a X_b (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_a X_b)) (tptp.hilbert_inv_into X_b X_a) A_1) F) X_1)) A_1)))))
% 1.01/1.19  (assume a541 (forall ((X_a $$unsorted) (X_b $$unsorted) (Y_2 $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) Y_2) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) A_1))) (= (tptp.hAPP X_b X_a F (tptp.hAPP X_a X_b (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_a X_b)) (tptp.hilbert_inv_into X_b X_a) A_1) F) Y_2)) (tptp.ti X_a Y_2)))))
% 1.01/1.19  (assume a542 (forall ((X_b $$unsorted) (X_a $$unsorted) (Ba $$unsorted) (F $$unsorted) (X_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_1) A_1)) (=> (= (tptp.ti X_b Ba) (tptp.hAPP X_a X_b F X_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) Ba) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_a X_b) F) A_1)))))))
% 1.01/1.19  (assume a543 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (X_1 $$unsorted) (A_1 $$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) X_1) A_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) (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_1))))))
% 1.01/1.19  (assume a544 (forall ((X_a $$unsorted) (X_b $$unsorted) (Z $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) Z) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) A_1))) (exists ((X_2 $$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_1)) (= (tptp.ti X_a Z) (tptp.hAPP X_b X_a F X_2)))))))
% 1.01/1.19  (assume a545 (forall ((X_b $$unsorted) (X_a $$unsorted) (X_c $$unsorted) (F $$unsorted) (G $$unsorted) (A_1 $$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_1)) (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_1))))
% 1.01/1.19  (assume a546 (forall ((X_a $$unsorted) (Y_1 $$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.combi X_a)) Y_1) (tptp.ti (tptp.fun X_a tptp.bool) Y_1))))
% 1.01/1.19  (assume a547 (forall ((X_a $$unsorted) (X_b $$unsorted) (B $$unsorted) (F $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) A_1))) (exists ((AA $$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_1)) (= (tptp.ti (tptp.fun X_a tptp.bool) B) (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)))))))
% 1.01/1.19  (assume a548 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_1) B)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_a X_b) F) A_1)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_a X_b) F) B))))))
% 1.01/1.19  (assume a549 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Ca $$unsorted) (Da $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Ca) Da)) (= (= (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) Aa) Ba) (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) Ca) Da)) (and (= (tptp.ti X_a Aa) (tptp.ti X_a Ca)) (= (tptp.ti X_a Ba) (tptp.ti X_a Da))))))))))
% 1.01/1.19  (assume a550 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Aa $$unsorted) (Ba $$unsorted) (Ca $$unsorted) (Da $$unsorted)) (=> (= (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) Aa) Ba) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) Ca) Da)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Ca) Da)) (= (tptp.ti X_a Aa) (tptp.ti X_a Ca)))))))))
% 1.01/1.19  (assume a551 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Aa $$unsorted) (Ba $$unsorted) (Ca $$unsorted) (Da $$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) Aa) Ba) (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) Ca) Da)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Aa) Ba)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Ca) Da)) (= (tptp.ti X_a Ba) (tptp.ti X_a Da)))))))))
% 1.01/1.19  (assume a552 (forall ((X_b $$unsorted) (X_a $$unsorted) (X_c $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_c X_a) (tptp.fun (tptp.fun X_b X_c) (tptp.fun X_b X_a)) (tptp.combb X_c X_a X_b) F) G)) (tptp.top_top (tptp.fun X_b tptp.bool))) (tptp.hAPP (tptp.fun X_c tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_c X_a) (tptp.fun (tptp.fun X_c tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_c X_a) F) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_c tptp.bool) (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_c tptp.bool)) (tptp.image X_b X_c) G) (tptp.top_top (tptp.fun X_b tptp.bool)))))))
% 1.01/1.19  (assume a553 (forall ((X_a $$unsorted) (X_b $$unsorted) (Ba $$unsorted) (F $$unsorted) (X_1 $$unsorted)) (=> (= (tptp.ti X_a Ba) (tptp.hAPP X_b X_a F X_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) Ba) (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.top_top (tptp.fun X_b tptp.bool))))))))
% 1.01/1.19  (assume a554 (forall ((X_a $$unsorted) (X_b $$unsorted) (F $$unsorted) (X_1 $$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 X_b X_a F X_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) (tptp.top_top (tptp.fun X_b tptp.bool)))))))
% 1.01/1.19  (assume a555 (forall ((X_c $$unsorted) (X_a $$unsorted) (X_b $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) G) (tptp.top_top (tptp.fun X_b tptp.bool))))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_c tptp.bool) tptp.bool (tptp.finite_finite_1 X_c) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_c tptp.bool) (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_c tptp.bool)) (tptp.image X_b X_c) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b X_c) (tptp.hAPP (tptp.fun X_a X_c) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b X_c)) (tptp.combb X_a X_c X_b) F) G)) (tptp.top_top (tptp.fun X_b tptp.bool))))))))
% 1.01/1.19  (assume a556 (forall ((A_1 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun tptp.nat tptp.bool)) A_1) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) K) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) A_1))))) (= A_1 (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) K) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) A_1)))))))
% 1.01/1.19  (assume a557 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_1 $$unsorted) (F $$unsorted) (B $$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.inj_on X_a X_b) F) B)) (=> (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_1) B)) (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 (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_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) B)))))))
% 1.01/1.19  (assume a558 (forall ((X_b $$unsorted) (X_a $$unsorted) (A_1 $$unsorted) (F $$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.top_top (tptp.fun X_b tptp.bool))) (tptp.top_top (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) (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) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_a X_b)) (tptp.hilbert_inv_into X_b X_a) (tptp.top_top (tptp.fun X_b tptp.bool))) F)) A_1)) (tptp.ti (tptp.fun X_a tptp.bool) A_1)))))
% 1.01/1.19  (assume a559 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.preorder T_1) (tptp.preorder (tptp.fun T_2 T_1)))))
% 1.01/1.19  (assume a560 (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)))))
% 1.01/1.19  (assume a561 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.order T_1) (tptp.order (tptp.fun T_2 T_1)))))
% 1.01/1.19  (assume a562 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.top T_1) (tptp.top (tptp.fun T_2 T_1)))))
% 1.01/1.19  (assume a563 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.ord T_1) (tptp.ord (tptp.fun T_2 T_1)))))
% 1.01/1.19  (assume a564 (tptp.semiri456707255roduct tptp.nat))
% 1.01/1.19  (assume a565 (tptp.ordere223160158up_add tptp.nat))
% 1.01/1.19  (assume a566 (tptp.ordere236663937imp_le tptp.nat))
% 1.01/1.19  (assume a567 (tptp.ordere779506340up_add tptp.nat))
% 1.01/1.19  (assume a568 (tptp.ordere216010020id_add tptp.nat))
% 1.01/1.19  (assume a569 (tptp.cancel146912293up_add tptp.nat))
% 1.01/1.19  (assume a570 (tptp.cancel_semigroup_add tptp.nat))
% 1.01/1.19  (assume a571 (tptp.linordered_semidom tptp.nat))
% 1.01/1.19  (assume a572 (tptp.ab_semigroup_add tptp.nat))
% 1.01/1.19  (assume a573 (tptp.comm_monoid_add tptp.nat))
% 1.01/1.19  (assume a574 (tptp.comm_semiring_1 tptp.nat))
% 1.01/1.19  (assume a575 (tptp.zero_neq_one tptp.nat))
% 1.01/1.19  (assume a576 (tptp.preorder tptp.nat))
% 1.01/1.19  (assume a577 (tptp.linorder tptp.nat))
% 1.01/1.19  (assume a578 (tptp.monoid_add tptp.nat))
% 1.01/1.19  (assume a579 (tptp.order tptp.nat))
% 1.01/1.19  (assume a580 (tptp.ord tptp.nat))
% 1.01/1.19  (assume a581 (tptp.zero tptp.nat))
% 1.01/1.19  (assume a582 (tptp.one tptp.nat))
% 1.01/1.19  (assume a583 (tptp.preorder tptp.bool))
% 1.01/1.19  (assume a584 (tptp.finite_finite tptp.bool))
% 1.01/1.19  (assume a585 (tptp.order tptp.bool))
% 1.01/1.19  (assume a586 (tptp.top tptp.bool))
% 1.01/1.19  (assume a587 (tptp.ord tptp.bool))
% 1.01/1.19  (assume a588 (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)))))
% 1.01/1.19  (assume a589 (forall ((T_1 $$unsorted)) (=> (tptp.finite_finite T_1) (tptp.finite_finite (tptp.option T_1)))))
% 1.01/1.19  (assume a590 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (and (tptp.finite_finite T_1) (tptp.finite_finite T_2)) (tptp.finite_finite (tptp.product_prod T_2 T_1)))))
% 1.01/1.19  (assume a591 (tptp.finite_finite tptp.product_unit))
% 1.01/1.19  (assume a592 (forall ((T $$unsorted) (A $$unsorted)) (= (tptp.ti T (tptp.ti T A)) (tptp.ti T A))))
% 1.01/1.19  (assume a593 (forall ((X_a $$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))))
% 1.01/1.19  (assume a594 (forall ((X_a $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP tptp.bool (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.if X_a) tptp.fFalse) X) Y) (tptp.ti X_a Y))))
% 1.01/1.19  (assume a595 (forall ((P $$unsorted)) (or (= (tptp.ti tptp.bool P) tptp.fTrue) (= (tptp.ti tptp.bool P) tptp.fFalse))))
% 1.01/1.19  (assume a596 (forall ((P $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool tptp.fNot P))) (not (tptp.hBOOL P)))))
% 1.01/1.19  (assume a597 (forall ((P $$unsorted)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool tptp.fNot P)))))
% 1.01/1.19  (assume a598 (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)))))
% 1.01/1.19  (assume a599 (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))))
% 1.01/1.19  (assume a600 (forall ((X_a $$unsorted) (P $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.combi X_a) P) (tptp.ti X_a P))))
% 1.01/1.19  (assume a601 (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))))
% 1.01/1.19  (assume a602 (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)))))
% 1.01/1.19  (assume a603 (tptp.hBOOL tptp.fTrue))
% 1.01/1.19  (assume a604 (forall ((P $$unsorted)) (or (= (tptp.ti tptp.bool P) tptp.fTrue) (= (tptp.ti tptp.bool P) tptp.fFalse))))
% 1.01/1.19  (assume a605 (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fconj P) Q)))))
% 1.01/1.19  (assume a606 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fconj P) Q))) (tptp.hBOOL P))))
% 1.01/1.19  (assume a607 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fconj P) Q))) (tptp.hBOOL Q))))
% 1.01/1.19  (assume a608 (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fdisj P) Q)))))
% 1.01/1.19  (assume a609 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fdisj P) Q)))))
% 1.01/1.19  (assume a610 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fdisj P) Q))) (tptp.hBOOL P) (tptp.hBOOL Q))))
% 1.01/1.19  (assume a611 (forall ((X_a $$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)))))
% 1.01/1.19  (assume a612 (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)))))
% 1.01/1.19  (assume a613 (not (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f tptp.p)))))
% 1.01/1.19  (assume a614 true)
% 1.01/1.19  (step t1 (cl (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1427655034_mktop) tptp.p)) tptp.e))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.fequal tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) tptp.arrow_14103264_above) tptp.p)) tptp.c)) tptp.e))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1278947948_mkbot) tptp.p)) tptp.e)))))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f tptp.p))))) :rule symm :premises (a76))
% 1.01/1.19  (step t2 (cl (not (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1427655034_mktop) tptp.p)) tptp.e))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.fequal tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) tptp.arrow_14103264_above) tptp.p)) tptp.c)) tptp.e))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1278947948_mkbot) tptp.p)) tptp.e))))))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f tptp.p)))) :rule equiv1 :premises (t1))
% 1.01/1.19  (step t3 (cl (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f tptp.p))) (not (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.ord_less tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1427655034_mktop) tptp.p)) tptp.e))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combs tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb tptp.bool (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) (tptp.if (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.arrow_660593299e_indi tptp.bool)) (tptp.combc tptp.arrow_660593299e_indi tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi tptp.nat) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.arrow_660593299e_indi) (tptp.fequal tptp.nat)) tptp.h)) tptp.n))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) tptp.arrow_660593299e_indi) tptp.arrow_14103264_above) tptp.p)) tptp.c)) tptp.e))) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.combc tptp.arrow_660593299e_indi tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool))) (tptp.fun (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun tptp.arrow_660593299e_indi (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) (tptp.fun tptp.arrow_490897120le_alt (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) tptp.arrow_660593299e_indi) tptp.arrow_1278947948_mkbot) tptp.p)) tptp.e)))))))) :rule reordering :premises (t2))
% 1.01/1.19  (step t4 (cl (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.fun (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) (tptp.hAPP tptp.arrow_490897120le_alt (tptp.fun tptp.arrow_490897120le_alt (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt)) (tptp.product_Pair tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.c) tptp.d)) (tptp.hAPP (tptp.fun tptp.arrow_660593299e_indi (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool)) (tptp.fun (tptp.product_prod tptp.arrow_490897120le_alt tptp.arrow_490897120le_alt) tptp.bool) tptp.f tptp.p)))) :rule resolution :premises (t3 a75))
% 1.01/1.19  (step t5 (cl) :rule resolution :premises (a613 t4))
% 1.01/1.19  
% 1.01/1.19  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.eqMaYmvC2s/cvc5---1.0.5_11148.smt2
% 1.01/1.19  % cvc5---1.0.5 exiting
% 1.01/1.20  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------