TSTP Solution File: SCT171+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SCT171+2 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n022.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 17:43:00 EDT 2024
% Result : Theorem 0.65s 1.03s
% Output : Proof 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.22 % Problem : SCT171+2 : TPTP v8.2.0. Released v5.3.0.
% 0.11/0.23 % Command : do_cvc5 %s %d
% 0.24/0.44 % Computer : n022.cluster.edu
% 0.24/0.44 % Model : x86_64 x86_64
% 0.24/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.44 % Memory : 8042.1875MB
% 0.24/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.24/0.44 % CPULimit : 300
% 0.24/0.44 % WCLimit : 300
% 0.24/0.44 % DateTime : Mon May 27 17:49:54 EDT 2024
% 0.24/0.45 % CPUTime :
% 0.54/0.79 %----Proving TF0_NAR, FOF, or CNF
% 0.65/1.03 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.65/1.03 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.aiuomXRn8V/cvc5---1.0.5_21057.smt2
% 0.65/1.03 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.aiuomXRn8V/cvc5---1.0.5_21057.smt2
% 0.65/1.03 (assume a0 (tptp.is_fun292781289l_bool tptp.arrow_885770895le_IIA))
% 0.65/1.03 (assume a1 (tptp.is_fun1420103068l_bool tptp.arrow_912654623le_Lin))
% 0.65/1.03 (assume a2 (tptp.is_fun701126715l_bool tptp.arrow_583275979e_Prof))
% 0.65/1.03 (assume a3 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted)) (=> (and (tptp.is_fun20916972t_bool B_1_1) (tptp.is_Arr723427730le_alt B_2_1) (tptp.is_Arr723427730le_alt B_3_1)) (tptp.is_fun20916972t_bool (tptp.arrow_207701375_below B_1_1 B_2_1 B_3_1)))))
% 0.65/1.03 (assume a4 (tptp.is_fun292781289l_bool tptp.arrow_1550141362nimity))
% 0.65/1.03 (assume a5 (tptp.is_fun1420103068l_bool tptp.finite955821396le_alt))
% 0.65/1.03 (assume a6 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted)) (=> (and (tptp.is_fun20916972t_bool B_1_1) (tptp.is_Arr723427730le_alt B_2_1) (tptp.is_Arr723427730le_alt B_3_1)) (tptp.is_bool (tptp.in_rel1361124802le_alt B_1_1 B_2_1 B_3_1)))))
% 0.65/1.03 (assume a7 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_fun20916972t_bool B_1_1) (tptp.is_fun1420103068l_bool (tptp.inj_on398823523t_bool B_1_1)))))
% 0.65/1.03 (assume a8 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun2015243113i_bool B_1_1) (tptp.is_fun701126715l_bool (tptp.pi_Arr1801471756t_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a9 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun701126715l_bool B_1_1) (tptp.is_fun292781289l_bool (tptp.pi_fun1555365306t_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a10 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun20916972t_bool B_1_1) (tptp.is_fun1420103068l_bool (tptp.pi_Pro1873779901t_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a11 (tptp.is_Arr723427730le_alt (tptp.undefi1471133025le_alt tptp.arrow_1486210539le_alt)))
% 0.65/1.03 (assume a12 (tptp.is_Arr859726945e_indi (tptp.undefi1052853330e_indi tptp.arrow_132732488e_indi)))
% 0.65/1.03 (assume a13 (tptp.is_bool (tptp.undefined_bool tptp.bool)))
% 0.65/1.03 (assume a14 (tptp.is_fun20916972t_bool (tptp.undefi541132219t_bool (tptp.fun (tptp.product_prod tptp.arrow_1486210539le_alt tptp.arrow_1486210539le_alt) tptp.bool))))
% 0.65/1.03 (assume a15 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun2015243113i_bool B_1_1) (tptp.is_fun1084921220e_indi (tptp.hilber951314860di_nat B_1_1 B_2_1)))))
% 0.65/1.03 (assume a16 (tptp.is_bool tptp.top_top_bool))
% 0.65/1.03 (assume a17 (tptp.is_fun2015243113i_bool tptp.top_to207207712i_bool))
% 0.65/1.03 (assume a18 (tptp.is_fun1568535512t_bool tptp.top_to1257323279t_bool))
% 0.65/1.03 (assume a19 (tptp.is_fun701126715l_bool tptp.top_to935749874l_bool))
% 0.65/1.03 (assume a20 (tptp.is_fun292781289l_bool tptp.top_to1849101472l_bool))
% 0.65/1.03 (assume a21 (tptp.is_fun1420103068l_bool tptp.top_to846262053l_bool))
% 0.65/1.03 (assume a22 (tptp.is_fun20916972t_bool tptp.top_to1773227171t_bool))
% 0.65/1.03 (assume a23 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_fun2015243113i_bool B_1_1) (tptp.is_fun2015243113i_bool (tptp.collec279390863e_indi B_1_1)))))
% 0.65/1.03 (assume a24 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_fun1568535512t_bool B_1_1) (tptp.is_fun1568535512t_bool (tptp.collect_Product_unit B_1_1)))))
% 0.65/1.03 (assume a25 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_fun701126715l_bool B_1_1) (tptp.is_fun701126715l_bool (tptp.collec1567922785t_bool B_1_1)))))
% 0.65/1.03 (assume a26 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_fun292781289l_bool B_1_1) (tptp.is_fun292781289l_bool (tptp.collec1517527055t_bool B_1_1)))))
% 0.65/1.03 (assume a27 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_fun1420103068l_bool B_1_1) (tptp.is_fun1420103068l_bool (tptp.collec612883262t_bool B_1_1)))))
% 0.65/1.03 (assume a28 (forall ((B_1_1 $$unsorted)) (=> (tptp.is_fun20916972t_bool B_1_1) (tptp.is_fun20916972t_bool (tptp.collec1376511890le_alt B_1_1)))))
% 0.65/1.03 (assume a29 (tptp.is_bool tptp.fFalse))
% 0.65/1.03 (assume a30 (tptp.is_bool tptp.fTrue))
% 0.65/1.03 (assume a31 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_Arr723427730le_alt B_2_1) (tptp.is_bool (tptp.hAPP_A1120018583t_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a32 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_Arr723427730le_alt B_2_1) (tptp.is_fun1420103068l_bool (tptp.hAPP_A433435097l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a33 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_Arr723427730le_alt B_2_1) (tptp.is_fun20916972t_bool (tptp.hAPP_A1014090479t_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a34 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_fun2015243113i_bool B_1_1) (tptp.is_Arr859726945e_indi B_2_1)) (tptp.is_bool (tptp.hAPP_A416869060i_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a35 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_Arr859726945e_indi B_2_1) (tptp.is_fun701126715l_bool (tptp.hAPP_A701636433l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a36 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_Arr859726945e_indi B_2_1) (tptp.is_fun292781289l_bool (tptp.hAPP_A955165183l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a37 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_Arr859726945e_indi B_2_1) (tptp.is_fun1420103068l_bool (tptp.hAPP_A659996934l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a38 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_Arr859726945e_indi B_2_1) (tptp.is_fun20916972t_bool (tptp.hAPP_A340536322t_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a39 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_bool (tptp.hAPP_bool_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a40 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_fun2015243113i_bool (tptp.hAPP_b2116075462i_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a41 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_fun1568535512t_bool (tptp.hAPP_b1096750261t_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a42 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_fun701126715l_bool (tptp.hAPP_b1461182872l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a43 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_fun292781289l_bool (tptp.hAPP_b651754310l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a44 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_fun1420103068l_bool (tptp.hAPP_b805997823l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a45 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_fun20916972t_bool (tptp.hAPP_b763490121t_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a46 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1084921220e_indi B_1_1) (tptp.is_Arr859726945e_indi (tptp.hAPP_n619554777e_indi B_1_1 B_2_1)))))
% 0.65/1.03 (assume a47 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_nat_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a48 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun2015243113i_bool (tptp.hAPP_n1600508401i_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a49 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1568535512t_bool (tptp.hAPP_n454528608t_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a50 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1568535512t_bool B_1_1) (tptp.is_bool (tptp.hAPP_P1676879539t_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a51 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun701126715l_bool (tptp.hAPP_P667392034l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a52 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun292781289l_bool (tptp.hAPP_P1305865168l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a53 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1420103068l_bool (tptp.hAPP_P288224245l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a54 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun20916972t_bool (tptp.hAPP_P401722323t_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a55 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f212509069l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a56 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun2015243113i_bool B_2_1) (tptp.is_bool (tptp.hAPP_f160177134l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a57 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun2015243113i_bool B_2_1) (tptp.is_fun2015243113i_bool (tptp.hAPP_f1282033109i_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a58 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_Arr859726945e_indi (tptp.hAPP_f350403485e_indi B_1_1 B_2_1))))
% 0.65/1.03 (assume a59 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun701126715l_bool B_1_1) (tptp.is_bool (tptp.hAPP_f1378099862l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a60 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun2015243113i_bool (tptp.hAPP_f1570138413i_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a61 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1568535512t_bool (tptp.hAPP_f1009478556t_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a62 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1420103068l_bool (tptp.hAPP_f1895971544l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a63 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun20916972t_bool (tptp.hAPP_f1817389232t_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a64 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f387058535l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a65 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f54304608l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a66 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1568535512t_bool B_2_1) (tptp.is_bool (tptp.hAPP_f2028818269l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a67 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1568535512t_bool B_2_1) (tptp.is_fun1568535512t_bool (tptp.hAPP_f427533077t_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a68 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f599997089l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a69 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1898839893l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a70 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f2016919811l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a71 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun701126715l_bool B_2_1) (tptp.is_bool (tptp.hAPP_f147218624l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a72 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun701126715l_bool B_2_1) (tptp.is_fun701126715l_bool (tptp.hAPP_f189058133l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a73 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_Arr859726945e_indi (tptp.hAPP_f2043811403e_indi B_1_1 B_2_1))))
% 0.65/1.03 (assume a74 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun292781289l_bool B_1_1) (tptp.is_bool (tptp.hAPP_f446648900l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a75 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun2015243113i_bool (tptp.hAPP_f783549695i_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a76 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1568535512t_bool (tptp.hAPP_f1841347694t_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a77 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1291635206l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a78 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f67777128l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a79 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f620747982l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a80 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f740740988l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a81 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f937100551l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a82 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f2053170815l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a83 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1428735377l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a84 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1637334154l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a85 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1426445843l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a86 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f537623936l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a87 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f339859954l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a88 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f866114756l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a89 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1597773170l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a90 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1965705105l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a91 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1117143157l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a92 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f882250837l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a93 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1138659662l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a94 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1082951236l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a95 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun292781289l_bool B_2_1) (tptp.is_bool (tptp.hAPP_f322109294l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a96 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun292781289l_bool B_2_1) (tptp.is_fun292781289l_bool (tptp.hAPP_f1028172757l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a97 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f742658307l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a98 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f750478076l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a99 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f966397426l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a100 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1021828400l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a101 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f560261801l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a102 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1384787615l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a103 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1363425282l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a104 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f817344902l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a105 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1420103068l_bool B_2_1) (tptp.is_bool (tptp.hAPP_f560517119l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a106 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1420103068l_bool B_2_1) (tptp.is_fun1420103068l_bool (tptp.hAPP_f574392641l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a107 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f557371893l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a108 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun20916972t_bool B_2_1) (tptp.is_Arr859726945e_indi (tptp.hAPP_f1283454584e_indi B_1_1 B_2_1)))))
% 0.65/1.03 (assume a109 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_fun1420103068l_bool B_1_1) (tptp.is_fun20916972t_bool B_2_1)) (tptp.is_bool (tptp.hAPP_f1733357041l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a110 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun20916972t_bool B_2_1) (tptp.is_fun2015243113i_bool (tptp.hAPP_f431432850i_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a111 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun20916972t_bool B_2_1) (tptp.is_fun1568535512t_bool (tptp.hAPP_f649586561t_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a112 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun20916972t_bool B_2_1) (tptp.is_fun701126715l_bool (tptp.hAPP_f1332130404l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a113 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun20916972t_bool B_2_1) (tptp.is_fun1420103068l_bool (tptp.hAPP_f1344932147l_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a114 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun20916972t_bool B_2_1) (tptp.is_fun20916972t_bool (tptp.hAPP_f137597973t_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a115 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_Arr859726945e_indi (tptp.hAPP_P1645359566e_indi B_1_1 B_2_1))))
% 0.65/1.03 (assume a116 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun20916972t_bool B_1_1) (tptp.is_bool (tptp.hAPP_P1813625415t_bool B_1_1 B_2_1)))))
% 0.65/1.03 (assume a117 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun2015243113i_bool (tptp.hAPP_P957402556i_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a118 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1568535512t_bool (tptp.hAPP_P822772139t_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a119 (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_fun1420103068l_bool (tptp.hAPP_P1151433609l_bool B_1_1 B_2_1))))
% 0.65/1.03 (assume a120 (tptp.is_fun20916972t_bool tptp.lab))
% 0.65/1.03 (assume a121 (tptp.is_fun20916972t_bool tptp.lba))
% 0.65/1.03 (assume a122 (tptp.is_Arr723427730le_alt tptp.a))
% 0.65/1.03 (assume a123 (tptp.is_Arr723427730le_alt tptp.b))
% 0.65/1.03 (assume a124 (tptp.is_Arr723427730le_alt tptp.c))
% 0.65/1.03 (assume a125 (tptp.is_Arr723427730le_alt tptp.d))
% 0.65/1.03 (assume a126 (tptp.is_Arr723427730le_alt tptp.e))
% 0.65/1.03 (assume a127 (tptp.hBOOL (tptp.hAPP_f446648900l_bool tptp.arrow_885770895le_IIA tptp.f)))
% 0.65/1.03 (assume a128 (tptp.hBOOL (tptp.hAPP_f446648900l_bool tptp.arrow_1550141362nimity tptp.f)))
% 0.65/1.03 (assume a129 (not (= tptp.c tptp.d)))
% 0.65/1.03 (assume a130 (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool tptp.p) tptp.arrow_583275979e_Prof)))
% 0.65/1.03 (assume a131 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (L_3 $$unsorted) (Z_1 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X_2) (tptp.is_Arr723427730le_alt Y_2) (tptp.is_Arr723427730le_alt Z_1)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_2)) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_f102394819t_bool tptp.arrow_163947511_mkbot L_3) Z_1))) (and (not (= Y_2 Z_1)) (=> (= X_2 Z_1) (not (= X_2 Y_2))) (=> (not (= X_2 Z_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_2)) L_3))))))))
% 0.65/1.03 (assume a132 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (L_3 $$unsorted) (Z_1 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X_2) (tptp.is_Arr723427730le_alt Y_2) (tptp.is_Arr723427730le_alt Z_1)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_2)) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_f102394819t_bool tptp.arrow_312654597_mktop L_3) Z_1))) (and (not (= X_2 Z_1)) (=> (= Y_2 Z_1) (not (= X_2 Y_2))) (=> (not (= Y_2 Z_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_2)) L_3))))))))
% 0.65/1.03 (assume a133 (forall ((P_1 $$unsorted) (Pa $$unsorted) (A_34 $$unsorted) (B_32 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A_34) (tptp.is_Arr723427730le_alt B_32) (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba)) (=> (not (= Aa Ba)) (=> (not (= A_34 B_32)) (=> (not (= Aa B_32)) (=> (not (= Ba A_34)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool Pa) tptp.arrow_583275979e_Prof)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool P_1) tptp.arrow_583275979e_Prof)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi I_2) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) (tptp.hAPP_A340536322t_bool Pa I_2))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_34) B_32)) (tptp.hAPP_A340536322t_bool P_1 I_2)))))) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) (tptp.hAPP_f1817389232t_bool tptp.f Pa))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_34) B_32)) (tptp.hAPP_f1817389232t_bool tptp.f P_1))))))))))))))
% 0.65/1.03 (assume a134 (forall ((P_1 $$unsorted) (Pa $$unsorted) (A_34 $$unsorted) (B_32 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A_34) (tptp.is_Arr723427730le_alt B_32) (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba)) (=> (not (= Aa Ba)) (=> (not (= A_34 B_32)) (=> (not (= Aa B_32)) (=> (not (= Ba A_34)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool Pa) tptp.arrow_583275979e_Prof)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool P_1) tptp.arrow_583275979e_Prof)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi I_2) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) (tptp.hAPP_A340536322t_bool Pa I_2))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_34) B_32)) (tptp.hAPP_A340536322t_bool P_1 I_2)))))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) (tptp.hAPP_f1817389232t_bool tptp.f Pa))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_34) B_32)) (tptp.hAPP_f1817389232t_bool tptp.f P_1))))))))))))))
% 0.65/1.03 (assume a135 (forall ((P_1 $$unsorted) (Pa $$unsorted) (Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt Ca) (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba)) (=> (not (= Aa Ba)) (=> (not (= Ba Ca)) (=> (not (= Aa Ca)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool Pa) tptp.arrow_583275979e_Prof)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool P_1) tptp.arrow_583275979e_Prof)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi I_2) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) (tptp.hAPP_A340536322t_bool Pa I_2))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Ba) Ca)) (tptp.hAPP_A340536322t_bool P_1 I_2)))))) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) (tptp.hAPP_f1817389232t_bool tptp.f Pa))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Ba) Ca)) (tptp.hAPP_f1817389232t_bool tptp.f P_1)))))))))))))
% 0.65/1.03 (assume a136 (forall ((P_1 $$unsorted) (Pa $$unsorted) (A_34 $$unsorted) (B_32 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A_34) (tptp.is_Arr723427730le_alt B_32) (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba)) (=> (not (= Aa Ba)) (=> (not (= A_34 B_32)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool Pa) tptp.arrow_583275979e_Prof)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool P_1) tptp.arrow_583275979e_Prof)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi I_2) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) (tptp.hAPP_A340536322t_bool Pa I_2))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_34) B_32)) (tptp.hAPP_A340536322t_bool P_1 I_2)))))) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) (tptp.hAPP_f1817389232t_bool tptp.f Pa))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_34) B_32)) (tptp.hAPP_f1817389232t_bool tptp.f P_1))))))))))))
% 0.65/1.03 (assume a137 (forall ((P_1 $$unsorted) (Pa $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool Pa) tptp.arrow_583275979e_Prof)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool P_1) tptp.arrow_583275979e_Prof)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi I_2) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) (tptp.hAPP_A340536322t_bool Pa I_2))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Ba) Aa)) (tptp.hAPP_A340536322t_bool P_1 I_2)))))) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) (tptp.hAPP_f1817389232t_bool tptp.f Pa))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Ba) Aa)) (tptp.hAPP_f1817389232t_bool tptp.f P_1)))))))))))
% 0.65/1.03 (assume a138 (forall ((I_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_A340536322t_bool tptp.p I_2))) (and (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_A1895296483di_nat tptp.h I_2)) tptp.n)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_f102394819t_bool tptp.arrow_312654597_mktop (tptp.hAPP_A340536322t_bool tptp.p I_2)) tptp.e)))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_A1895296483di_nat tptp.h I_2)) tptp.n))) (and (=> (= (tptp.hAPP_A1895296483di_nat tptp.h I_2) tptp.n) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_A28770973t_bool (tptp.hAPP_f684072049t_bool tptp.arrow_1046586475_above (tptp.hAPP_A340536322t_bool tptp.p I_2)) tptp.c) tptp.e)))) (=> (not (= (tptp.hAPP_A1895296483di_nat tptp.h I_2) tptp.n)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_f102394819t_bool tptp.arrow_163947511_mkbot (tptp.hAPP_A340536322t_bool tptp.p I_2)) tptp.e))))))))))
% 0.65/1.03 (assume a139 (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_A340536322t_bool tptp.p (tptp.hAPP_n619554777e_indi (tptp.hilber951314860di_nat tptp.top_to207207712i_bool tptp.h) tptp.n)))))
% 0.65/1.03 (assume a140 (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_312654597_mktop) tptp.p)) tptp.e)) (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.fequal_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_A711952286t_bool (tptp.hAPP_f114580065t_bool tptp.cOMBC_1377016489t_bool (tptp.hAPP_f1044120523t_bool (tptp.cOMBB_930893948e_indi tptp.arrow_1046586475_above) tptp.p)) tptp.c)) tptp.e)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_163947511_mkbot) tptp.p)) tptp.e)))))))
% 0.65/1.03 (assume a141 (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_f1817389232t_bool tptp.f tptp.p))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_312654597_mktop) tptp.p)) tptp.e)) (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.fequal_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_A711952286t_bool (tptp.hAPP_f114580065t_bool tptp.cOMBC_1377016489t_bool (tptp.hAPP_f1044120523t_bool (tptp.cOMBB_930893948e_indi tptp.arrow_1046586475_above) tptp.p)) tptp.c)) tptp.e)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_163947511_mkbot) tptp.p)) tptp.e))))))))
% 0.65/1.03 (assume a142 (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool Pa X1))) (forall ((A_1 $$unsorted) (B_25 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A_1) (tptp.is_Arr723427730le_alt B_25)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool Pa (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_1) B_25))))))))
% 0.65/1.03 (assume a143 (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_312654597_mktop) tptp.p)) tptp.e)) (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.fequal_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_A711952286t_bool (tptp.hAPP_f114580065t_bool tptp.cOMBC_1377016489t_bool (tptp.hAPP_f1044120523t_bool (tptp.cOMBB_930893948e_indi tptp.arrow_1046586475_above) tptp.p)) tptp.c)) tptp.e)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_163947511_mkbot) tptp.p)) tptp.e)))) tptp.arrow_583275979e_Prof)))
% 0.65/1.03 (assume a144 (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.e)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_312654597_mktop) tptp.p)) tptp.e)) (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.fequal_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_A711952286t_bool (tptp.hAPP_f114580065t_bool tptp.cOMBC_1377016489t_bool (tptp.hAPP_f1044120523t_bool (tptp.cOMBB_930893948e_indi tptp.arrow_1046586475_above) tptp.p)) tptp.c)) tptp.e)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_163947511_mkbot) tptp.p)) tptp.e)))))))
% 0.65/1.03 (assume a145 (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.e) tptp.d)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_312654597_mktop) tptp.p)) tptp.e)) (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.fequal_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_A711952286t_bool (tptp.hAPP_f114580065t_bool tptp.cOMBC_1377016489t_bool (tptp.hAPP_f1044120523t_bool (tptp.cOMBB_930893948e_indi tptp.arrow_1046586475_above) tptp.p)) tptp.c)) tptp.e)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_163947511_mkbot) tptp.p)) tptp.e)))))))
% 0.65/1.03 (assume a146 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.n) (tptp.finite354462354e_indi tptp.top_to207207712i_bool))))
% 0.65/1.03 (assume a147 (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat tptp.h) tptp.top_to207207712i_bool)))
% 0.65/1.03 (assume a148 (forall ((A_36 $$unsorted) (B_34 $$unsorted) (A_35 $$unsorted) (B_33 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A_36) (tptp.is_Arr723427730le_alt B_34) (tptp.is_Arr723427730le_alt A_35) (tptp.is_Arr723427730le_alt B_33)) (=> (= (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_36) B_34) (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_35) B_33)) (not (=> (= A_36 A_35) (not (= B_34 B_33))))))))
% 0.65/1.03 (assume a149 (forall ((Aa $$unsorted) (Ba $$unsorted) (A_34 $$unsorted) (B_32 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba) (tptp.is_Arr723427730le_alt A_34) (tptp.is_Arr723427730le_alt B_32)) (= (= (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba) (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_34) B_32)) (and (= Aa A_34) (= Ba B_32))))))
% 0.65/1.03 (assume a150 (forall ((Fa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f446648900l_bool tptp.arrow_885770895le_IIA Fa)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) tptp.arrow_583275979e_Prof)) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool Xa) tptp.arrow_583275979e_Prof)) (forall ((A_1 $$unsorted) (B_25 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A_1) (tptp.is_Arr723427730le_alt B_25)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi I_2) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_1) B_25)) (tptp.hAPP_A340536322t_bool X_1 I_2))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_1) B_25)) (tptp.hAPP_A340536322t_bool Xa I_2)))))) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_1) B_25)) (tptp.hAPP_f1817389232t_bool Fa X_1))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_1) B_25)) (tptp.hAPP_f1817389232t_bool Fa Xa))))))))))))))
% 0.65/1.03 (assume a151 (forall ((Fa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f446648900l_bool tptp.arrow_1550141362nimity Fa)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) tptp.arrow_583275979e_Prof)) (forall ((A_1 $$unsorted) (B_25 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A_1) (tptp.is_Arr723427730le_alt B_25)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.is_Arr859726945e_indi I_2) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_1) B_25)) (tptp.hAPP_A340536322t_bool X_1 I_2))))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_1) B_25)) (tptp.hAPP_f1817389232t_bool Fa X_1)))))))))))
% 0.65/1.03 (assume a152 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool tptp.top_to846262053l_bool X_2))))
% 0.65/1.03 (assume a153 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1378099862l_bool tptp.top_to935749874l_bool X_2))))
% 0.65/1.03 (assume a154 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f446648900l_bool tptp.top_to1849101472l_bool X_2))))
% 0.65/1.03 (assume a155 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool tptp.top_to1773227171t_bool X_2))))
% 0.65/1.03 (assume a156 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_A416869060i_bool tptp.top_to207207712i_bool X_2))))
% 0.65/1.03 (assume a157 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1676879539t_bool tptp.top_to1257323279t_bool X_2))))
% 0.65/1.03 (assume a158 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool tptp.top_top_fun_nat_bool X_2))))
% 0.65/1.03 (assume a159 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) tptp.top_to1647826457l_bool))))
% 0.65/1.03 (assume a160 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) tptp.top_to207207712i_bool))))
% 0.65/1.03 (assume a161 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) tptp.top_to1257323279t_bool))))
% 0.65/1.03 (assume a162 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) tptp.top_to1773227171t_bool))))
% 0.65/1.03 (assume a163 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) tptp.top_to935749874l_bool))))
% 0.65/1.03 (assume a164 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) tptp.top_to1849101472l_bool))))
% 0.65/1.03 (assume a165 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) tptp.top_to846262053l_bool))))
% 0.65/1.03 (assume a166 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) tptp.top_top_fun_nat_bool))))
% 0.65/1.03 (assume a167 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) tptp.top_to1647826457l_bool))))
% 0.65/1.03 (assume a168 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) tptp.top_to207207712i_bool))))
% 0.65/1.03 (assume a169 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) tptp.top_to1257323279t_bool))))
% 0.65/1.03 (assume a170 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) tptp.top_to1773227171t_bool))))
% 0.65/1.03 (assume a171 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) tptp.top_to935749874l_bool))))
% 0.65/1.03 (assume a172 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) tptp.top_to1849101472l_bool))))
% 0.65/1.03 (assume a173 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) tptp.top_to846262053l_bool))))
% 0.65/1.03 (assume a174 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) tptp.top_top_fun_nat_bool))))
% 0.65/1.03 (assume a175 (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool tptp.top_to846262053l_bool X_2)) (tptp.hBOOL tptp.top_top_bool))))
% 0.65/1.03 (assume a176 (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1378099862l_bool tptp.top_to935749874l_bool X_2)) (tptp.hBOOL tptp.top_top_bool))))
% 0.65/1.03 (assume a177 (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f446648900l_bool tptp.top_to1849101472l_bool X_2)) (tptp.hBOOL tptp.top_top_bool))))
% 0.65/1.03 (assume a178 (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1813625415t_bool tptp.top_to1773227171t_bool X_2)) (tptp.hBOOL tptp.top_top_bool))))
% 0.65/1.03 (assume a179 (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_A416869060i_bool tptp.top_to207207712i_bool X_2)) (tptp.hBOOL tptp.top_top_bool))))
% 0.65/1.03 (assume a180 (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1676879539t_bool tptp.top_to1257323279t_bool X_2)) (tptp.hBOOL tptp.top_top_bool))))
% 0.65/1.03 (assume a181 (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.top_top_fun_nat_bool X_2)) (tptp.hBOOL tptp.top_top_bool))))
% 0.65/1.03 (assume a182 (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1260664009l_bool tptp.top_to846262053l_bool) Aa)))))
% 0.65/1.03 (assume a183 (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le194694222l_bool tptp.top_to935749874l_bool) Aa)))))
% 0.65/1.03 (assume a184 (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le1141238780l_bool tptp.top_to1849101472l_bool) Aa)))))
% 0.65/1.03 (assume a185 (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool tptp.top_top_bool) Aa)))))
% 0.65/1.03 (assume a186 (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le2113500159t_bool tptp.top_to1773227171t_bool) Aa)))))
% 0.65/1.03 (assume a187 (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool tptp.top_to207207712i_bool) Aa)))))
% 0.65/1.03 (assume a188 (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool tptp.top_to1257323279t_bool) Aa)))))
% 0.65/1.03 (assume a189 (forall ((Aa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool tptp.top_top_fun_nat_bool) Aa)))))
% 0.65/1.03 (assume a190 (forall ((Aa $$unsorted)) (=> (tptp.is_fun1420103068l_bool Aa) (= (not (= Aa tptp.top_to846262053l_bool)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1260664009l_bool Aa) tptp.top_to846262053l_bool))))))
% 0.65/1.03 (assume a191 (forall ((Aa $$unsorted)) (=> (tptp.is_fun701126715l_bool Aa) (= (not (= Aa tptp.top_to935749874l_bool)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le194694222l_bool Aa) tptp.top_to935749874l_bool))))))
% 0.65/1.03 (assume a192 (forall ((Aa $$unsorted)) (=> (tptp.is_fun292781289l_bool Aa) (= (not (= Aa tptp.top_to1849101472l_bool)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le1141238780l_bool Aa) tptp.top_to1849101472l_bool))))))
% 0.65/1.03 (assume a193 (forall ((Aa $$unsorted)) (= (not (= (tptp.hBOOL Aa) (tptp.hBOOL tptp.top_top_bool))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Aa) tptp.top_top_bool)))))
% 0.65/1.03 (assume a194 (forall ((Aa $$unsorted)) (=> (tptp.is_fun20916972t_bool Aa) (= (not (= Aa tptp.top_to1773227171t_bool)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le2113500159t_bool Aa) tptp.top_to1773227171t_bool))))))
% 0.65/1.03 (assume a195 (forall ((Aa $$unsorted)) (=> (tptp.is_fun2015243113i_bool Aa) (= (not (= Aa tptp.top_to207207712i_bool)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Aa) tptp.top_to207207712i_bool))))))
% 0.65/1.03 (assume a196 (forall ((Aa $$unsorted)) (=> (tptp.is_fun1568535512t_bool Aa) (= (not (= Aa tptp.top_to1257323279t_bool)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) tptp.top_to1257323279t_bool))))))
% 0.65/1.03 (assume a197 (forall ((Aa $$unsorted)) (= (not (= Aa tptp.top_top_fun_nat_bool)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) tptp.top_top_fun_nat_bool)))))
% 0.65/1.03 (assume a198 (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool tptp.f) (tptp.pi_fun1555365306t_bool tptp.arrow_583275979e_Prof (tptp.hAPP_f633903640l_bool tptp.cOMBK_1918246033t_bool tptp.arrow_912654623le_Lin)))))
% 0.65/1.03 (assume a199 (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.e) tptp.d)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_312654597_mktop) tptp.p)) tptp.e)) (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.fequal_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_A711952286t_bool (tptp.hAPP_f114580065t_bool tptp.cOMBC_1377016489t_bool (tptp.hAPP_f1044120523t_bool (tptp.cOMBB_930893948e_indi tptp.arrow_1046586475_above) tptp.p)) tptp.c)) tptp.e)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_163947511_mkbot) tptp.p)) tptp.e)))))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.b) tptp.a)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.hAPP_f590186314t_bool (tptp.hAPP_f1975142533t_bool tptp.cOMBC_1894996001t_bool (tptp.hAPP_f1898540574t_bool (tptp.hAPP_f1283354413t_bool tptp.cOMBC_1373788917t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) tptp.n))) tptp.lab)) tptp.lba))))))
% 0.65/1.03 (assume a200 (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool tptp.lab) tptp.arrow_912654623le_Lin)))
% 0.65/1.03 (assume a201 (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool tptp.lba) tptp.arrow_912654623le_Lin)))
% 0.65/1.03 (assume a202 (not (= tptp.a tptp.b)))
% 0.65/1.03 (assume a203 (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.a) tptp.b)) tptp.lab)))
% 0.65/1.03 (assume a204 (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.b) tptp.a)) tptp.lba)))
% 0.65/1.03 (assume a205 (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.a) tptp.b)) tptp.lba))))
% 0.65/1.03 (assume a206 (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.b) tptp.a)) tptp.lab))))
% 0.65/1.03 (assume a207 (forall ((Na $$unsorted)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_f590186314t_bool (tptp.hAPP_f1975142533t_bool tptp.cOMBC_1894996001t_bool (tptp.hAPP_f1898540574t_bool (tptp.hAPP_f1283354413t_bool tptp.cOMBC_1373788917t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) Na))) tptp.lab)) tptp.lba)) tptp.arrow_583275979e_Prof))))
% 0.65/1.03 (assume a208 (not (forall ((Lab $$unsorted)) (=> (tptp.is_fun20916972t_bool Lab) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.a) tptp.b)) Lab)) (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool Lab) tptp.arrow_912654623le_Lin))))))))
% 0.65/1.03 (assume a209 (not (forall ((Lba $$unsorted)) (=> (tptp.is_fun20916972t_bool Lba) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.b) tptp.a)) Lba)) (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool Lba) tptp.arrow_912654623le_Lin))))))))
% 0.65/1.03 (assume a210 (forall ((I_2 $$unsorted)) (= (and (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_A1895296483di_nat tptp.h I_2)) tptp.n)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.e) tptp.d)) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_f102394819t_bool tptp.arrow_312654597_mktop (tptp.hAPP_A340536322t_bool tptp.p I_2)) tptp.e)))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_A1895296483di_nat tptp.h I_2)) tptp.n))) (and (=> (= (tptp.hAPP_A1895296483di_nat tptp.h I_2) tptp.n) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.e) tptp.d)) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_A28770973t_bool (tptp.hAPP_f684072049t_bool tptp.arrow_1046586475_above (tptp.hAPP_A340536322t_bool tptp.p I_2)) tptp.c) tptp.e)))) (=> (not (= (tptp.hAPP_A1895296483di_nat tptp.h I_2) tptp.n)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.e) tptp.d)) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_f102394819t_bool tptp.arrow_163947511_mkbot (tptp.hAPP_A340536322t_bool tptp.p I_2)) tptp.e))))))) (and (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_A1895296483di_nat tptp.h I_2)) tptp.n)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.b) tptp.a)) tptp.lab))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_A1895296483di_nat tptp.h I_2)) tptp.n))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.b) tptp.a)) tptp.lba)))))))
% 0.65/1.03 (assume a211 (forall ((M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) tptp.n)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.b) tptp.a)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.hAPP_f590186314t_bool (tptp.hAPP_f1975142533t_bool tptp.cOMBC_1894996001t_bool (tptp.hAPP_f1898540574t_bool (tptp.hAPP_f1283354413t_bool tptp.cOMBC_1373788917t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) M))) tptp.lab)) tptp.lba)))))))
% 0.65/1.03 (assume a212 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (L_3 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X_2) (tptp.is_Arr723427730le_alt Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_3) tptp.arrow_912654623le_Lin)) (=> (not (= X_2 Y_2)) (= (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_2)) L_3))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Y_2) X_2)) L_3))))))))
% 0.65/1.03 (assume a213 (forall ((Aa $$unsorted) (Ba $$unsorted) (L_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_3) tptp.arrow_912654623le_Lin)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) L_3)) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Ba) Aa)) L_3)))))))
% 0.65/1.03 (assume a214 (forall ((X_2 $$unsorted) (L_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_3) tptp.arrow_912654623le_Lin)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A1014090479t_bool (tptp.hAPP_f102394819t_bool tptp.arrow_312654597_mktop L_3) X_2)) tptp.arrow_912654623le_Lin)))))
% 0.65/1.03 (assume a215 (forall ((X_2 $$unsorted) (L_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_3) tptp.arrow_912654623le_Lin)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A1014090479t_bool (tptp.hAPP_f102394819t_bool tptp.arrow_163947511_mkbot L_3) X_2)) tptp.arrow_912654623le_Lin)))))
% 0.65/1.03 (assume a216 (forall ((L_3 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X_2) (tptp.is_Arr723427730le_alt Y_2)) (=> (not (= X_2 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_3) tptp.arrow_912654623le_Lin)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A1014090479t_bool (tptp.hAPP_A28770973t_bool (tptp.hAPP_f684072049t_bool tptp.arrow_1046586475_above L_3) X_2) Y_2)) tptp.arrow_912654623le_Lin)))))))
% 0.65/1.03 (assume a217 (forall ((L_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_3) tptp.arrow_912654623le_Lin)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_f590186314t_bool tptp.cOMBK_776703103e_indi L_3)) tptp.arrow_583275979e_Prof)))))
% 0.65/1.03 (assume a218 (forall ((X_32 $$unsorted) (Y_30 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_32) Y_30))) (=> (not (= X_32 Y_30)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_30) X_32))))))
% 0.65/1.03 (assume a219 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) X_2))))))
% 0.65/1.03 (assume a220 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) X_2))))))
% 0.65/1.03 (assume a221 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Y_2) X_2))))))
% 0.65/1.03 (assume a222 (forall ((X_31 $$unsorted) (Y_29 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_31) Y_29)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_29) X_31))))))
% 0.65/1.03 (assume a223 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Z_1) X_2))))))
% 0.65/1.03 (assume a224 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Z_1) X_2))))))
% 0.65/1.03 (assume a225 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Z_1) X_2))))))
% 0.65/1.03 (assume a226 (forall ((Z_9 $$unsorted) (Y_28 $$unsorted) (X_30 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_28) X_30)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Z_9) Y_28)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Z_9) X_30))))))
% 0.65/1.03 (assume a227 (forall ((Z_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Z_1))))))
% 0.65/1.03 (assume a228 (forall ((Z_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Z_1))))))
% 0.65/1.03 (assume a229 (forall ((Z_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Z_1))))))
% 0.65/1.03 (assume a230 (forall ((Z_8 $$unsorted) (X_29 $$unsorted) (Y_27 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_29) Y_27)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_27) Z_8)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_29) Z_8))))))
% 0.65/1.03 (assume a231 (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Aa)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca) Aa))))))
% 0.65/1.03 (assume a232 (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Aa)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ca) Aa))))))
% 0.65/1.03 (assume a233 (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Ba) Aa)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Ca) Aa))))))
% 0.65/1.03 (assume a234 (forall ((C_24 $$unsorted) (B_31 $$unsorted) (A_33 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_31) A_33)) (=> (= B_31 C_24) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_24) A_33))))))
% 0.65/1.03 (assume a235 (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) Ba)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) Ca))))))
% 0.65/1.03 (assume a236 (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) Ba)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) Ca))))))
% 0.65/1.03 (assume a237 (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Aa) Ba)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Aa) Ca))))))
% 0.65/1.03 (assume a238 (forall ((C_23 $$unsorted) (A_32 $$unsorted) (B_30 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_32) B_30)) (=> (= B_30 C_23) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_32) C_23))))))
% 0.65/1.03 (assume a239 (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca) Ba)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ca) Aa))))))
% 0.65/1.03 (assume a240 (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ca) Ba)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ca) Aa))))))
% 0.65/1.03 (assume a241 (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Ca) Ba)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Ca) Aa))))))
% 0.65/1.03 (assume a242 (forall ((C_22 $$unsorted) (A_31 $$unsorted) (B_29 $$unsorted)) (=> (= A_31 B_29) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_22) B_29)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_22) A_31))))))
% 0.65/1.03 (assume a243 (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) Ca))))))
% 0.65/1.03 (assume a244 (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) Ca))))))
% 0.65/1.03 (assume a245 (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Aa) Ca))))))
% 0.65/1.03 (assume a246 (forall ((C_21 $$unsorted) (A_30 $$unsorted) (B_28 $$unsorted)) (=> (= A_30 B_28) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_28) C_21)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_30) C_21))))))
% 0.65/1.03 (assume a247 (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Aa)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) Ba))))))
% 0.65/1.03 (assume a248 (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Aa)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) Ba))))))
% 0.65/1.03 (assume a249 (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Ba) Aa)) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Aa) Ba))))))
% 0.65/1.03 (assume a250 (forall ((B_27 $$unsorted) (A_29 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_27) A_29)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_29) B_27))))))
% 0.65/1.03 (assume a251 (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) Ba)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Aa))))))
% 0.65/1.03 (assume a252 (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) Ba)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Aa))))))
% 0.65/1.03 (assume a253 (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Aa) Ba)) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Ba) Aa))))))
% 0.65/1.03 (assume a254 (forall ((A_28 $$unsorted) (B_26 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_28) B_26)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_26) A_28))))))
% 0.65/1.03 (assume a255 (forall ((Pa $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) X_2)) (tptp.hBOOL Pa)))))
% 0.65/1.03 (assume a256 (forall ((Pa $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) X_2)) (tptp.hBOOL Pa)))))
% 0.65/1.03 (assume a257 (forall ((Pa $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Y_2) X_2)) (tptp.hBOOL Pa)))))
% 0.65/1.03 (assume a258 (forall ((Pa $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_2) X_2)) (tptp.hBOOL Pa)))))
% 0.65/1.03 (assume a259 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (not (= Y_2 X_2)))))
% 0.65/1.03 (assume a260 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (not (= Y_2 X_2)))))
% 0.65/1.03 (assume a261 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Y_2)) (not (= Y_2 X_2)))))
% 0.65/1.03 (assume a262 (forall ((X_28 $$unsorted) (Y_26 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_28) Y_26)) (not (= Y_26 X_28)))))
% 0.65/1.03 (assume a263 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (not (= X_2 Y_2)))))
% 0.65/1.03 (assume a264 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (not (= X_2 Y_2)))))
% 0.65/1.03 (assume a265 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Y_2)) (not (= X_2 Y_2)))))
% 0.65/1.03 (assume a266 (forall ((X_27 $$unsorted) (Y_25 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_27) Y_25)) (not (= X_27 Y_25)))))
% 0.65/1.03 (assume a267 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) X_2))))))
% 0.65/1.03 (assume a268 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) X_2))))))
% 0.65/1.03 (assume a269 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Y_2) X_2))))))
% 0.65/1.03 (assume a270 (forall ((X_26 $$unsorted) (Y_24 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_26) Y_24)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_24) X_26))))))
% 0.65/1.03 (assume a271 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) X_2))))))
% 0.65/1.03 (assume a272 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) X_2))))))
% 0.65/1.03 (assume a273 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Y_2) X_2))))))
% 0.65/1.03 (assume a274 (forall ((X_25 $$unsorted) (Y_23 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_25) Y_23)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_23) X_25))))))
% 0.65/1.03 (assume a275 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (not (= X_2 Y_2)))))
% 0.65/1.03 (assume a276 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (not (= X_2 Y_2)))))
% 0.65/1.03 (assume a277 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Y_2)) (not (= X_2 Y_2)))))
% 0.65/1.03 (assume a278 (forall ((X_24 $$unsorted) (Y_22 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_24) Y_22)) (not (= X_24 Y_22)))))
% 0.65/1.03 (assume a279 (forall ((X_23 $$unsorted) (Y_21 $$unsorted)) (=> (not (= X_23 Y_21)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_23) Y_21))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_21) X_23))))))
% 0.65/1.03 (assume a280 (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_2) X_2))) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2))) (= X_2 Y_2)))))
% 0.65/1.03 (assume a281 (forall ((X_22 $$unsorted) (Y_20 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_22) Y_20)) (= X_22 Y_20) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_20) X_22)))))
% 0.65/1.03 (assume a282 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2))) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_2) X_2)) (= X_2 Y_2)))))
% 0.65/1.03 (assume a283 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (not (= X_2 Y_2)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_2) X_2))))))
% 0.65/1.03 (assume a284 (forall ((X_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) X_2)))))
% 0.65/1.03 (assume a285 (forall ((X_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) X_2)))))
% 0.65/1.03 (assume a286 (forall ((X_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) X_2)))))
% 0.65/1.03 (assume a287 (forall ((X_21 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_21) X_21)))))
% 0.65/1.03 (assume a288 (= tptp.top_to846262053l_bool (tptp.collec612883262t_bool (tptp.hAPP_b805997823l_bool tptp.cOMBK_715978704t_bool tptp.fTrue))))
% 0.65/1.03 (assume a289 (= tptp.top_to935749874l_bool (tptp.collec1567922785t_bool (tptp.hAPP_b1461182872l_bool tptp.cOMBK_776847951t_bool tptp.fTrue))))
% 0.65/1.03 (assume a290 (= tptp.top_to1849101472l_bool (tptp.collec1517527055t_bool (tptp.hAPP_b651754310l_bool tptp.cOMBK_577652221t_bool tptp.fTrue))))
% 0.65/1.03 (assume a291 (= tptp.top_to1773227171t_bool (tptp.collec1376511890le_alt (tptp.hAPP_b763490121t_bool tptp.cOMBK_1733734784le_alt tptp.fTrue))))
% 0.65/1.03 (assume a292 (= tptp.top_to207207712i_bool (tptp.collec279390863e_indi (tptp.hAPP_b2116075462i_bool tptp.cOMBK_1391252605e_indi tptp.fTrue))))
% 0.65/1.03 (assume a293 (= tptp.top_to1257323279t_bool (tptp.collect_Product_unit (tptp.hAPP_b1096750261t_bool tptp.cOMBK_790042732t_unit tptp.fTrue))))
% 0.65/1.03 (assume a294 (= tptp.top_top_fun_nat_bool (tptp.collect_nat (tptp.hAPP_b1013836512t_bool tptp.cOMBK_bool_nat tptp.fTrue))))
% 0.65/1.03 (assume a295 (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)) (tptp.hBOOL (tptp.hAPP_A416869060i_bool A X_2)))))
% 0.65/1.03 (assume a296 (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_bool_bool A X_2)))))
% 0.65/1.03 (assume a297 (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)) (tptp.hBOOL (tptp.hAPP_P1676879539t_bool A X_2)))))
% 0.65/1.03 (assume a298 (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool A X_2)))))
% 0.65/1.03 (assume a299 (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f1378099862l_bool A X_2)))))
% 0.65/1.03 (assume a300 (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f446648900l_bool A X_2)))))
% 0.65/1.03 (assume a301 (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool A X_2)))))
% 0.65/1.03 (assume a302 (forall ((X_2 $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (tptp.hBOOL (tptp.hAPP_nat_bool A X_2)))))
% 0.65/1.03 (assume a303 (forall ((Pa $$unsorted)) (=> (tptp.is_fun1568535512t_bool Pa) (= (tptp.collect_Product_unit Pa) Pa))))
% 0.65/1.03 (assume a304 (forall ((Pa $$unsorted)) (=> (tptp.is_fun2015243113i_bool Pa) (= (tptp.collec279390863e_indi Pa) Pa))))
% 0.65/1.03 (assume a305 (forall ((Pa $$unsorted)) (= (tptp.collect_nat Pa) Pa)))
% 0.65/1.03 (assume a306 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (L_3 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X_2) (tptp.is_Arr723427730le_alt Y_2) (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_3) tptp.arrow_912654623le_Lin)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_2)) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_A28770973t_bool (tptp.hAPP_f684072049t_bool tptp.arrow_1046586475_above L_3) Aa) Ba))) (and (not (= X_2 Y_2)) (=> (= X_2 Ba) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Y_2)) L_3))) (=> (not (= X_2 Ba)) (and (=> (= Y_2 Ba) (or (= X_2 Aa) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Aa)) L_3)))) (=> (not (= Y_2 Ba)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_2)) L_3))))))))))))
% 0.65/1.03 (assume a307 (forall ((S_1 $$unsorted) (R_1 $$unsorted)) (=> (and (tptp.is_fun20916972t_bool S_1) (tptp.is_fun20916972t_bool R_1)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X_1) (tptp.is_Arr723427730le_alt Xa)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1) Xa)) R_1)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_1) Xa)) S_1))))) (= R_1 S_1)))))
% 0.65/1.03 (assume a308 (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.a) tptp.b)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.hAPP_f590186314t_bool (tptp.hAPP_f1975142533t_bool tptp.cOMBC_1894996001t_bool (tptp.hAPP_f1898540574t_bool (tptp.hAPP_f1283354413t_bool tptp.cOMBC_1373788917t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.n) tptp.one_one_nat)))) tptp.lab)) tptp.lba)))))
% 0.65/1.03 (assume a309 (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.e)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_312654597_mktop) tptp.p)) tptp.e)) (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.fequal_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_A711952286t_bool (tptp.hAPP_f114580065t_bool tptp.cOMBC_1377016489t_bool (tptp.hAPP_f1044120523t_bool (tptp.cOMBB_930893948e_indi tptp.arrow_1046586475_above) tptp.p)) tptp.c)) tptp.e)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_163947511_mkbot) tptp.p)) tptp.e)))))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.a) tptp.b)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.hAPP_f590186314t_bool (tptp.hAPP_f1975142533t_bool tptp.cOMBC_1894996001t_bool (tptp.hAPP_f1898540574t_bool (tptp.hAPP_f1283354413t_bool tptp.cOMBC_1373788917t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.n) tptp.one_one_nat)))) tptp.lab)) tptp.lba))))))
% 0.65/1.03 (assume a310 (forall ((I_2 $$unsorted)) (= (and (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_A1895296483di_nat tptp.h I_2)) tptp.n)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.e)) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_f102394819t_bool tptp.arrow_312654597_mktop (tptp.hAPP_A340536322t_bool tptp.p I_2)) tptp.e)))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_A1895296483di_nat tptp.h I_2)) tptp.n))) (and (=> (= (tptp.hAPP_A1895296483di_nat tptp.h I_2) tptp.n) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.e)) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_A28770973t_bool (tptp.hAPP_f684072049t_bool tptp.arrow_1046586475_above (tptp.hAPP_A340536322t_bool tptp.p I_2)) tptp.c) tptp.e)))) (=> (not (= (tptp.hAPP_A1895296483di_nat tptp.h I_2) tptp.n)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.e)) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_f102394819t_bool tptp.arrow_163947511_mkbot (tptp.hAPP_A340536322t_bool tptp.p I_2)) tptp.e))))))) (and (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_A1895296483di_nat tptp.h I_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.n) tptp.one_one_nat))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.a) tptp.b)) tptp.lab))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_A1895296483di_nat tptp.h I_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.n) tptp.one_one_nat)))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.a) tptp.b)) tptp.lba)))))))
% 0.65/1.03 (assume a311 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) tptp.top_to207207712i_bool)) (=> (= (tptp.hAPP_A1895296483di_nat F X_2) Y_2) (= (tptp.hAPP_n619554777e_indi (tptp.hilber951314860di_nat tptp.top_to207207712i_bool F) Y_2) X_2))))))
% 0.65/1.03 (assume a312 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) tptp.top_top_fun_nat_bool)) (=> (= (tptp.hAPP_nat_nat F X_2) Y_2) (= (tptp.hAPP_nat_nat (tptp.hilber195283148at_nat tptp.top_top_fun_nat_bool F) Y_2) X_2)))))
% 0.65/1.03 (assume a313 (forall ((X_2 $$unsorted) (F $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) tptp.top_to207207712i_bool)) (= (tptp.hAPP_n619554777e_indi (tptp.hilber951314860di_nat tptp.top_to207207712i_bool F) (tptp.hAPP_A1895296483di_nat F X_2)) X_2)))))
% 0.65/1.03 (assume a314 (forall ((X_2 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) tptp.top_top_fun_nat_bool)) (= (tptp.hAPP_nat_nat (tptp.hilber195283148at_nat tptp.top_top_fun_nat_bool F) (tptp.hAPP_nat_nat F X_2)) X_2))))
% 0.65/1.03 (assume a315 (forall ((I_1 $$unsorted) (Fa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool Fa) (tptp.pi_fun1555365306t_bool tptp.arrow_583275979e_Prof (tptp.hAPP_f633903640l_bool tptp.cOMBK_1918246033t_bool tptp.arrow_912654623le_Lin)))) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) tptp.arrow_583275979e_Prof)) (forall ((A_1 $$unsorted) (B_25 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt A_1) (tptp.is_Arr723427730le_alt B_25)) (=> (not (= A_1 B_25)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_1) B_25)) (tptp.hAPP_A340536322t_bool X_1 I_1))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt A_1) B_25)) (tptp.hAPP_f1817389232t_bool Fa X_1))))))))) (tptp.hBOOL (tptp.hAPP_A416869060i_bool (tptp.hAPP_f783549695i_bool tptp.arrow_1549387998ctator Fa) I_1))))))
% 0.65/1.03 (assume a316 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) (tptp.pi_Pro1873779901t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1813625415t_bool F X_2)) (tptp.hAPP_P1122857141l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A)))))))
% 0.65/1.03 (assume a317 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1291635206l_bool (tptp.hAPP_f1234917389l_bool tptp.member219620739le_alt F) (tptp.pi_Arr1064242500le_alt A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A503573454le_alt F X_2)) (tptp.hAPP_A340536322t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)))))))
% 0.65/1.03 (assume a318 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2053170815l_bool (tptp.hAPP_f452450509l_bool tptp.member300433020le_alt F) (tptp.pi_boo1542163389le_alt A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_b1482008903le_alt F X_2)) (tptp.hAPP_b763490121t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)))))))
% 0.65/1.03 (assume a319 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1117143157l_bool (tptp.hAPP_f2011903565l_bool tptp.member485283698le_alt F) (tptp.pi_Pro1208494515le_alt A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_P1931143485le_alt F X_2)) (tptp.hAPP_P401722323t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)))))))
% 0.65/1.03 (assume a320 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1898839893l_bool (tptp.hAPP_f1836999501l_bool tptp.member104322770t_bool F) (tptp.pi_Arr656802323t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_A739031709t_bool F X_2)) (tptp.hAPP_A701636433l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)))))))
% 0.65/1.03 (assume a321 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f620747982l_bool (tptp.hAPP_f1518101645l_bool tptp.member1024929995t_bool F) (tptp.pi_boo679625100t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_b821377302t_bool F X_2)) (tptp.hAPP_b1461182872l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)))))))
% 0.65/1.03 (assume a322 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f866114756l_bool (tptp.hAPP_f813426957l_bool tptp.member1044213697t_bool F) (tptp.pi_Pro1114473858t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool (tptp.hAPP_P1245388556t_bool F X_2)) (tptp.hAPP_P667392034l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)))))))
% 0.65/1.03 (assume a323 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2016919811l_bool (tptp.hAPP_f1063991245l_bool tptp.member689634176t_bool F) (tptp.pi_Arr742795713t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_A1433148491t_bool F X_2)) (tptp.hAPP_A955165183l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)))))))
% 0.65/1.03 (assume a324 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f740740988l_bool (tptp.hAPP_f2134766349l_bool tptp.member930088569t_bool F) (tptp.pi_boo68262458t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_b327863236t_bool F X_2)) (tptp.hAPP_b651754310l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)))))))
% 0.65/1.03 (assume a325 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1597773170l_bool (tptp.hAPP_f627309453l_bool tptp.member1775405935t_bool F) (tptp.pi_Pro831923248t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool (tptp.hAPP_P1157363642t_bool F X_2)) (tptp.hAPP_P1305865168l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)))))))
% 0.65/1.03 (assume a326 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f937100551l_bool (tptp.hAPP_f840347317l_bool tptp.member1258284266t_bool F) (tptp.pi_boo1746012499t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_b763490121t_bool F X_2)) (tptp.hAPP_b805997823l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)))))))
% 0.65/1.03 (assume a327 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1965705105l_bool (tptp.hAPP_f177302985l_bool tptp.member928589940t_bool F) (tptp.pi_Pro1925515229t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_P401722323t_bool F X_2)) (tptp.hAPP_P288224245l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)))))))
% 0.65/1.03 (assume a328 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f599997089l_bool (tptp.hAPP_f758593513l_bool tptp.member873781636di_nat F) (tptp.pi_Arr604548589di_nat A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_A1895296483di_nat F X_2)) (tptp.hAPP_A1948275303t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)))))))
% 0.65/1.03 (assume a329 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f67777128l_bool (tptp.hAPP_f144393719l_bool tptp.member_fun_bool_nat F) (tptp.pi_bool_nat A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_bool_nat F X_2)) (tptp.hAPP_b1013836512t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)))))))
% 0.65/1.03 (assume a330 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f339859954l_bool (tptp.hAPP_f1950626059l_bool tptp.member87760213it_nat F) (tptp.pi_Product_unit_nat A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_P426034740it_nat F X_2)) (tptp.hAPP_P32877782t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)))))))
% 0.65/1.03 (assume a331 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f817344902l_bool (tptp.hAPP_f1387788301l_bool tptp.member220564739e_indi F) (tptp.pi_Pro58544964e_indi A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_P1645359566e_indi F X_2)) (tptp.hAPP_P957402556i_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A)))))))
% 0.65/1.03 (assume a332 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f557371893l_bool (tptp.hAPP_f785487437l_bool tptp.member1226631410t_unit F) (tptp.pi_Pro269694131t_unit A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_P992343101t_unit F X_2)) (tptp.hAPP_P822772139t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A)))))))
% 0.65/1.03 (assume a333 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f882250837l_bool (tptp.hAPP_f1140532045l_bool tptp.member1618799570e_indi F) (tptp.pi_fun268174099e_indi A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f350403485e_indi F X_2)) (tptp.hAPP_f1570138413i_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A)))))))
% 0.65/1.03 (assume a334 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1138659662l_bool (tptp.hAPP_f1338606733l_bool tptp.member1402889547l_bool F) (tptp.pi_fun1236347660l_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1378099862l_bool F X_2)) (tptp.hAPP_f591334822l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A)))))))
% 0.65/1.03 (assume a335 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1082951236l_bool (tptp.hAPP_f1160956173l_bool tptp.member982489409t_unit F) (tptp.pi_fun623621634t_unit A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_f754536332t_unit F X_2)) (tptp.hAPP_f1009478556t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A)))))))
% 0.65/1.03 (assume a336 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f742658307l_bool (tptp.hAPP_f749156301l_bool tptp.member234310528e_indi F) (tptp.pi_fun1353458625e_indi A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f2043811403e_indi F X_2)) (tptp.hAPP_f783549695i_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A)))))))
% 0.65/1.03 (assume a337 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f750478076l_bool (tptp.hAPP_f2087408397l_bool tptp.member48503289l_bool F) (tptp.pi_fun187048122l_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f446648900l_bool F X_2)) (tptp.hAPP_f721327224l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A)))))))
% 0.65/1.03 (assume a338 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f966397426l_bool (tptp.hAPP_f1957108621l_bool tptp.member1941767151t_unit F) (tptp.pi_fun1390764464t_unit A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_f1716204858t_unit F X_2)) (tptp.hAPP_f1841347694t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A)))))))
% 0.65/1.03 (assume a339 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1021828400l_bool (tptp.hAPP_f2022872455l_bool tptp.member1935624595e_indi F) (tptp.pi_fun596906370e_indi A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_f1283454584e_indi F X_2)) (tptp.hAPP_f431432850i_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A)))))))
% 0.65/1.03 (assume a340 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560261801l_bool (tptp.hAPP_f1171266041l_bool tptp.member2021375116l_bool F) (tptp.pi_fun568395771l_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_f1733357041l_bool F X_2)) (tptp.hAPP_f812095627l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A)))))))
% 0.65/1.03 (assume a341 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1384787615l_bool (tptp.hAPP_f715600357l_bool tptp.member416763266t_unit F) (tptp.pi_fun1012573681t_unit A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_f1636264423t_unit F X_2)) (tptp.hAPP_f649586561t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A)))))))
% 0.65/1.03 (assume a342 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1428735377l_bool (tptp.hAPP_f544923081l_bool tptp.member1801639028e_indi F) (tptp.pi_nat1476290531e_indi A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi (tptp.hAPP_n619554777e_indi F X_2)) (tptp.hAPP_n1600508401i_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)))))))
% 0.65/1.03 (assume a343 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool F) (tptp.pi_nat_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_nat_bool F X_2)) (tptp.hAPP_n1006566506l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)))))))
% 0.65/1.03 (assume a344 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f537623936l_bool (tptp.hAPP_f1598887207l_bool tptp.member1024687843t_unit F) (tptp.pi_nat_Product_unit A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit (tptp.hAPP_n633340360t_unit F X_2)) (tptp.hAPP_n454528608t_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)))))))
% 0.65/1.03 (assume a345 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) (tptp.pi_fun1555365306t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_f1817389232t_bool F X_2)) (tptp.hAPP_f1895971544l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A)))))))
% 0.65/1.03 (assume a346 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool F) (tptp.pi_Arr1801471756t_bool A B))) (=> (not (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A340536322t_bool F X_2)) (tptp.hAPP_A659996934l_bool B X_2)))) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)))))))
% 0.65/1.03 (assume a347 (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba)) (=> (not (= Aa Ba)) (exists ((X_1 $$unsorted)) (and (tptp.is_fun20916972t_bool X_1) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) tptp.arrow_912654623le_Lin)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Aa) Ba)) X_1))))))))
% 0.65/1.03 (assume a348 (forall ((A $$unsorted)) (= (tptp.pi_Pro1873779901t_bool A (tptp.hAPP_f719005683l_bool tptp.cOMBK_1673635960le_alt tptp.top_to1647826457l_bool)) tptp.top_to846262053l_bool)))
% 0.65/1.03 (assume a349 (forall ((A $$unsorted)) (= (tptp.pi_fun1555365306t_bool A (tptp.hAPP_f633903640l_bool tptp.cOMBK_1918246033t_bool tptp.top_to846262053l_bool)) tptp.top_to1849101472l_bool)))
% 0.65/1.03 (assume a350 (forall ((A $$unsorted)) (= (tptp.pi_Arr1801471756t_bool A (tptp.hAPP_f1639180358l_bool tptp.cOMBK_350223551e_indi tptp.top_to846262053l_bool)) tptp.top_to935749874l_bool)))
% 0.65/1.03 (assume a351 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) X_2))))
% 0.65/1.03 (assume a352 (forall ((X_20 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_20) X_20))))
% 0.65/1.03 (assume a353 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) X_2))))
% 0.65/1.03 (assume a354 (exists ((N $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.finite354462354e_indi tptp.top_to207207712i_bool))) (forall ((M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.b) tptp.a)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.hAPP_f590186314t_bool (tptp.hAPP_f1975142533t_bool tptp.cOMBC_1894996001t_bool (tptp.hAPP_f1898540574t_bool (tptp.hAPP_f1283354413t_bool tptp.cOMBC_1373788917t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) M))) tptp.lab)) tptp.lba)))))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.a) tptp.b)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.hAPP_f590186314t_bool (tptp.hAPP_f1975142533t_bool tptp.cOMBC_1894996001t_bool (tptp.hAPP_f1898540574t_bool (tptp.hAPP_f1283354413t_bool tptp.cOMBC_1373788917t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)))) tptp.lab)) tptp.lba)))))))
% 0.65/1.03 (assume a355 (not (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.finite354462354e_indi tptp.top_to207207712i_bool))) (=> (forall ((M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.b) tptp.a)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.hAPP_f590186314t_bool (tptp.hAPP_f1975142533t_bool tptp.cOMBC_1894996001t_bool (tptp.hAPP_f1898540574t_bool (tptp.hAPP_f1283354413t_bool tptp.cOMBC_1373788917t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) M))) tptp.lab)) tptp.lba)))))) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.a) tptp.b)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.hAPP_f590186314t_bool (tptp.hAPP_f1975142533t_bool tptp.cOMBC_1894996001t_bool (tptp.hAPP_f1898540574t_bool (tptp.hAPP_f1283354413t_bool tptp.cOMBC_1373788917t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)))) tptp.lab)) tptp.lba))))))))))
% 0.65/1.03 (assume a356 (forall ((X_19 $$unsorted) (Y_19 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_19) Y_19))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_19) X_19)))))
% 0.65/1.03 (assume a357 (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F X_2)) (tptp.hAPP_nat_bool G X_2))))))
% 0.65/1.03 (assume a358 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Z_1) X_2))))))
% 0.65/1.03 (assume a359 (forall ((Z_7 $$unsorted) (Y_18 $$unsorted) (X_18 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_18) X_18)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Z_7) Y_18)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Z_7) X_18))))))
% 0.65/1.03 (assume a360 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Z_1) X_2))))))
% 0.65/1.03 (assume a361 (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (= (tptp.hBOOL X_2) (tptp.hBOOL Y_2))))))
% 0.65/1.03 (assume a362 (forall ((Y_17 $$unsorted) (X_17 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_17) X_17)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_17) Y_17)) (= X_17 Y_17)))))
% 0.65/1.03 (assume a363 (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (= X_2 Y_2)))))
% 0.65/1.03 (assume a364 (forall ((Z_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Z_1))))))
% 0.65/1.03 (assume a365 (forall ((Z_6 $$unsorted) (X_16 $$unsorted) (Y_16 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_16) Y_16)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_16) Z_6)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_16) Z_6))))))
% 0.65/1.03 (assume a366 (forall ((Z_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Z_1))))))
% 0.65/1.03 (assume a367 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_2)) (= (tptp.hBOOL X_2) (tptp.hBOOL Y_2))))))
% 0.65/1.03 (assume a368 (forall ((X_15 $$unsorted) (Y_15 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_15) Y_15)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_15) X_15)) (= X_15 Y_15)))))
% 0.65/1.03 (assume a369 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_2)) (= X_2 Y_2)))))
% 0.65/1.03 (assume a370 (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ba) Aa)) (=> (= (tptp.hBOOL Ba) (tptp.hBOOL Ca)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ca) Aa))))))
% 0.65/1.03 (assume a371 (forall ((C_20 $$unsorted) (B_24 $$unsorted) (A_27 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_24) A_27)) (=> (= B_24 C_20) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_20) A_27))))))
% 0.65/1.03 (assume a372 (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Aa)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) Aa))))))
% 0.65/1.03 (assume a373 (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Aa) Ba)) (=> (= (tptp.hBOOL Ba) (tptp.hBOOL Ca)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Aa) Ca))))))
% 0.65/1.03 (assume a374 (forall ((C_19 $$unsorted) (A_26 $$unsorted) (B_23 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_26) B_23)) (=> (= B_23 C_19) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_26) C_19))))))
% 0.65/1.03 (assume a375 (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ba)) (=> (= Ba Ca) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ca))))))
% 0.65/1.03 (assume a376 (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (= (tptp.hBOOL Aa) (tptp.hBOOL Ba)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ca) Ba)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ca) Aa))))))
% 0.65/1.03 (assume a377 (forall ((C_18 $$unsorted) (A_25 $$unsorted) (B_22 $$unsorted)) (=> (= A_25 B_22) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_18) B_22)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_18) A_25))))))
% 0.65/1.03 (assume a378 (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) Ba)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ca) Aa))))))
% 0.65/1.03 (assume a379 (forall ((Ca $$unsorted) (Ba $$unsorted) (Aa $$unsorted)) (=> (= (tptp.hBOOL Aa) (tptp.hBOOL Ba)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Aa) Ca))))))
% 0.65/1.03 (assume a380 (forall ((C_17 $$unsorted) (A_24 $$unsorted) (B_21 $$unsorted)) (=> (= A_24 B_21) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_21) C_17)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_24) C_17))))))
% 0.65/1.03 (assume a381 (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (= Aa Ba) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Ca)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ca))))))
% 0.65/1.03 (assume a382 (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_2)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (= (tptp.hBOOL X_2) (tptp.hBOOL Y_2))))))
% 0.65/1.03 (assume a383 (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_2) X_2)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (= X_2 Y_2)))))
% 0.65/1.03 (assume a384 (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_2)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (= X_2 Y_2)))))
% 0.65/1.03 (assume a385 (forall ((X_2 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F X_2)) (tptp.hAPP_nat_bool G X_2))))))
% 0.65/1.03 (assume a386 (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (= (tptp.hBOOL X_2) (tptp.hBOOL Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)))))
% 0.65/1.03 (assume a387 (forall ((X_14 $$unsorted) (Y_14 $$unsorted)) (=> (= X_14 Y_14) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_14) Y_14)))))
% 0.65/1.03 (assume a388 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)))))
% 0.65/1.03 (assume a389 (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (= (= (tptp.hBOOL X_2) (tptp.hBOOL Y_2)) (and (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_2))))))
% 0.65/1.03 (assume a390 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (= X_2 Y_2) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_2) X_2))))))
% 0.65/1.03 (assume a391 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (= X_2 Y_2) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_2))))))
% 0.65/1.03 (assume a392 (forall ((X_13 $$unsorted) (Y_13 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_13) Y_13)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_13) X_13)))))
% 0.65/1.03 (assume a393 (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F X_1)) (tptp.hAPP_nat_bool G X_1)))))))
% 0.65/1.03 (assume a394 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_2) X_2)))))
% 0.65/1.03 (assume a395 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_2) X_2)))))
% 0.65/1.03 (assume a396 (forall ((X_12 $$unsorted) (Y_12 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_12) Y_12)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_12) X_12)))))
% 0.65/1.03 (assume a397 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_2) (tptp.is_fun1568535512t_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)) (not (= X_2 Y_2)))))))
% 0.65/1.03 (assume a398 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun2015243113i_bool X_2) (tptp.is_fun2015243113i_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool X_2) Y_2)) (not (= X_2 Y_2)))))))
% 0.65/1.03 (assume a399 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (not (= (tptp.hBOOL X_2) (tptp.hBOOL Y_2)))))))
% 0.65/1.03 (assume a400 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (not (= X_2 Y_2))))))
% 0.65/1.03 (assume a401 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (not (= X_2 Y_2))))))
% 0.65/1.03 (assume a402 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_2) X_2)))))))
% 0.65/1.03 (assume a403 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool Y_2) X_2)))))))
% 0.65/1.03 (assume a404 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_2)))))))
% 0.65/1.03 (assume a405 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_2)))))))
% 0.65/1.03 (assume a406 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_2) X_2)))))))
% 0.65/1.03 (assume a407 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_2) (tptp.is_fun1568535512t_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (= X_2 Y_2))))))
% 0.65/1.03 (assume a408 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun2015243113i_bool X_2) (tptp.is_fun2015243113i_bool Y_2)) (= (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Y_2)) (= X_2 Y_2))))))
% 0.65/1.03 (assume a409 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool X_2) Y_2)) (= (tptp.hBOOL X_2) (tptp.hBOOL Y_2))))))
% 0.65/1.03 (assume a410 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (= X_2 Y_2)))))
% 0.65/1.03 (assume a411 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2)) (= X_2 Y_2)))))
% 0.65/1.03 (assume a412 (forall ((X_11 $$unsorted) (Y_11 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_11) Y_11))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_11) X_11)))))
% 0.65/1.03 (assume a413 (forall ((Y_10 $$unsorted) (X_10 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_10) X_10))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_10) Y_10)))))
% 0.65/1.03 (assume a414 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (= X_2 Y_2)))))
% 0.65/1.03 (assume a415 (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool Aa) (tptp.is_fun1568535512t_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Aa) Ba)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) Ba)))))))
% 0.65/1.03 (assume a416 (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun2015243113i_bool Aa) (tptp.is_fun2015243113i_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool Aa) Ba)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Aa) Ba)))))))
% 0.65/1.03 (assume a417 (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (not (= (tptp.hBOOL Aa) (tptp.hBOOL Ba))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Aa) Ba)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Aa) Ba))))))
% 0.65/1.03 (assume a418 (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ba)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) Ba))))))
% 0.65/1.03 (assume a419 (forall ((A_23 $$unsorted) (B_20 $$unsorted)) (=> (not (= A_23 B_20)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_23) B_20)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_23) B_20))))))
% 0.65/1.03 (assume a420 (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool Aa) (tptp.is_fun1568535512t_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Ba) Aa)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Aa)))))))
% 0.65/1.03 (assume a421 (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun2015243113i_bool Aa) (tptp.is_fun2015243113i_bool Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool Ba) Aa)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Ba) Aa)))))))
% 0.65/1.03 (assume a422 (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (not (= (tptp.hBOOL Aa) (tptp.hBOOL Ba))) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ba) Aa)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Ba) Aa))))))
% 0.65/1.03 (assume a423 (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Aa)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Aa))))))
% 0.65/1.03 (assume a424 (forall ((A_22 $$unsorted) (B_19 $$unsorted)) (=> (not (= A_22 B_19)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_19) A_22)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_19) A_22))))))
% 0.65/1.03 (assume a425 (forall ((Y_9 $$unsorted) (X_9 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_9) X_9)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_9) Y_9))))))
% 0.65/1.03 (assume a426 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)))))
% 0.65/1.03 (assume a427 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool X_2) Y_2)))))
% 0.65/1.03 (assume a428 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)))))
% 0.65/1.03 (assume a429 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)))))
% 0.65/1.03 (assume a430 (forall ((X_8 $$unsorted) (Y_8 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_8) Y_8)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_8) Y_8)))))
% 0.65/1.03 (assume a431 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) Y_2)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Y_2))) (= X_2 Y_2)))))
% 0.65/1.03 (assume a432 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool X_2) (tptp.is_fun1568535512t_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (= X_2 Y_2))))))
% 0.65/1.03 (assume a433 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_fun2015243113i_bool X_2) (tptp.is_fun2015243113i_bool Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Y_2)) (= X_2 Y_2))))))
% 0.65/1.03 (assume a434 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool X_2) Y_2)) (= (tptp.hBOOL X_2) (tptp.hBOOL Y_2))))))
% 0.65/1.03 (assume a435 (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (or (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (= X_2 Y_2)))))
% 0.65/1.03 (assume a436 (forall ((X_7 $$unsorted) (Y_7 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_7) Y_7)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_7) Y_7)) (= X_7 Y_7)))))
% 0.65/1.03 (assume a437 (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool Aa) (tptp.is_fun1568535512t_bool Ba)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Aa) Ba)) (=> (not (= Aa Ba)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Aa) Ba)))))))
% 0.65/1.03 (assume a438 (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_fun2015243113i_bool Aa) (tptp.is_fun2015243113i_bool Ba)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool Aa) Ba)) (=> (not (= Aa Ba)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Aa) Ba)))))))
% 0.65/1.03 (assume a439 (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Aa) Ba)) (=> (not (= (tptp.hBOOL Aa) (tptp.hBOOL Ba))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Aa) Ba))))))
% 0.65/1.03 (assume a440 (forall ((Aa $$unsorted) (Ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) Ba)) (=> (not (= Aa Ba)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Aa) Ba))))))
% 0.65/1.03 (assume a441 (forall ((A_21 $$unsorted) (B_18 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_21) B_18)) (=> (not (= A_21 B_18)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_21) B_18))))))
% 0.65/1.03 (assume a442 (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ba) Aa)) (=> (not (= Aa Ba)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ba) Aa))))))
% 0.65/1.03 (assume a443 (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool Ba) (tptp.is_fun1568535512t_bool Aa)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Ba) Aa)) (=> (not (= Aa Ba)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Ba) Aa)))))))
% 0.65/1.03 (assume a444 (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (and (tptp.is_fun2015243113i_bool Ba) (tptp.is_fun2015243113i_bool Aa)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool Ba) Aa)) (=> (not (= Aa Ba)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Ba) Aa)))))))
% 0.65/1.03 (assume a445 (forall ((B_17 $$unsorted) (A_20 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_17) A_20)) (=> (not (= A_20 B_17)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_17) A_20))))))
% 0.65/1.03 (assume a446 (forall ((Ba $$unsorted) (Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Ba) Aa)) (=> (not (= (tptp.hBOOL Aa) (tptp.hBOOL Ba))) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Ba) Aa))))))
% 0.65/1.03 (assume a447 (forall ((Z_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Z_1))))))
% 0.65/1.03 (assume a448 (forall ((Z_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Z_1))))))
% 0.65/1.03 (assume a449 (forall ((Z_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Z_1))))))
% 0.65/1.03 (assume a450 (forall ((Z_5 $$unsorted) (X_6 $$unsorted) (Y_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_6) Y_6)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_6) Z_5)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_6) Z_5))))))
% 0.65/1.03 (assume a451 (forall ((Z_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool X_2) Z_1))))))
% 0.65/1.03 (assume a452 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Z_1) X_2))))))
% 0.65/1.03 (assume a453 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Z_1) X_2))))))
% 0.65/1.03 (assume a454 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Z_1) X_2))))))
% 0.65/1.03 (assume a455 (forall ((Z_4 $$unsorted) (Y_5 $$unsorted) (X_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_5) X_5)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Z_4) Y_5)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Z_4) X_5))))))
% 0.65/1.03 (assume a456 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Z_1) X_2))))))
% 0.65/1.03 (assume a457 (forall ((Z_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool X_2) Z_1))))))
% 0.65/1.03 (assume a458 (forall ((Z_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool X_2) Z_1))))))
% 0.65/1.03 (assume a459 (forall ((Z_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool X_2) Z_1))))))
% 0.65/1.03 (assume a460 (forall ((Z_3 $$unsorted) (X_4 $$unsorted) (Y_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_4) Y_4)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_4) Z_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_4) Z_3))))))
% 0.65/1.03 (assume a461 (forall ((Z_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool X_2) Z_1))))))
% 0.65/1.03 (assume a462 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Z_1) X_2))))))
% 0.65/1.03 (assume a463 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool Z_1) X_2))))))
% 0.65/1.03 (assume a464 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool Z_1) X_2))))))
% 0.65/1.03 (assume a465 (forall ((Z_2 $$unsorted) (Y_3 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_3) X_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Z_2) Y_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Z_2) X_3))))))
% 0.65/1.03 (assume a466 (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Z_1) Y_2)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool Z_1) X_2))))))
% 0.65/1.03 (assume a467 (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool Aa) tptp.top_top_bool))))
% 0.65/1.03 (assume a468 (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1079191765l_bool Aa) tptp.top_to846262053l_bool))))
% 0.65/1.03 (assume a469 (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le2143686384l_bool Aa) tptp.top_to1849101472l_bool))))
% 0.65/1.03 (assume a470 (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le1482529602l_bool Aa) tptp.top_to935749874l_bool))))
% 0.65/1.03 (assume a471 (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le64728819t_bool Aa) tptp.top_to1773227171t_bool))))
% 0.65/1.03 (assume a472 (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Aa) tptp.top_top_fun_nat_bool))))
% 0.65/1.03 (assume a473 (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool Aa) tptp.top_to1257323279t_bool))))
% 0.65/1.03 (assume a474 (forall ((Aa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool Aa) tptp.top_to207207712i_bool))))
% 0.65/1.03 (assume a475 (forall ((Aa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool tptp.top_top_bool) Aa)) (= (tptp.hBOOL Aa) (tptp.hBOOL tptp.top_top_bool)))))
% 0.65/1.03 (assume a476 (forall ((Aa $$unsorted)) (=> (tptp.is_fun1420103068l_bool Aa) (= (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1079191765l_bool tptp.top_to846262053l_bool) Aa)) (= Aa tptp.top_to846262053l_bool)))))
% 0.65/1.03 (assume a477 (forall ((Aa $$unsorted)) (=> (tptp.is_fun292781289l_bool Aa) (= (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le2143686384l_bool tptp.top_to1849101472l_bool) Aa)) (= Aa tptp.top_to1849101472l_bool)))))
% 0.65/1.03 (assume a478 (forall ((Aa $$unsorted)) (=> (tptp.is_fun701126715l_bool Aa) (= (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le1482529602l_bool tptp.top_to935749874l_bool) Aa)) (= Aa tptp.top_to935749874l_bool)))))
% 0.65/1.03 (assume a479 (forall ((Aa $$unsorted)) (=> (tptp.is_fun20916972t_bool Aa) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le64728819t_bool tptp.top_to1773227171t_bool) Aa)) (= Aa tptp.top_to1773227171t_bool)))))
% 0.65/1.03 (assume a480 (forall ((Aa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool tptp.top_top_fun_nat_bool) Aa)) (= Aa tptp.top_top_fun_nat_bool))))
% 0.65/1.03 (assume a481 (forall ((Aa $$unsorted)) (=> (tptp.is_fun1568535512t_bool Aa) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool tptp.top_to1257323279t_bool) Aa)) (= Aa tptp.top_to1257323279t_bool)))))
% 0.65/1.03 (assume a482 (forall ((Aa $$unsorted)) (=> (tptp.is_fun2015243113i_bool Aa) (= (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool tptp.top_to207207712i_bool) Aa)) (= Aa tptp.top_to207207712i_bool)))))
% 0.65/1.03 (assume a483 (forall ((Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool tptp.top_top_bool) Aa)) (= (tptp.hBOOL Aa) (tptp.hBOOL tptp.top_top_bool)))))
% 0.65/1.03 (assume a484 (forall ((Aa $$unsorted)) (=> (tptp.is_fun1420103068l_bool Aa) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1079191765l_bool tptp.top_to846262053l_bool) Aa)) (= Aa tptp.top_to846262053l_bool)))))
% 0.65/1.03 (assume a485 (forall ((Aa $$unsorted)) (=> (tptp.is_fun292781289l_bool Aa) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le2143686384l_bool tptp.top_to1849101472l_bool) Aa)) (= Aa tptp.top_to1849101472l_bool)))))
% 0.65/1.03 (assume a486 (forall ((Aa $$unsorted)) (=> (tptp.is_fun701126715l_bool Aa) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le1482529602l_bool tptp.top_to935749874l_bool) Aa)) (= Aa tptp.top_to935749874l_bool)))))
% 0.65/1.03 (assume a487 (forall ((Aa $$unsorted)) (=> (tptp.is_fun20916972t_bool Aa) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le64728819t_bool tptp.top_to1773227171t_bool) Aa)) (= Aa tptp.top_to1773227171t_bool)))))
% 0.65/1.03 (assume a488 (forall ((Aa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool tptp.top_top_fun_nat_bool) Aa)) (= Aa tptp.top_top_fun_nat_bool))))
% 0.65/1.03 (assume a489 (forall ((Aa $$unsorted)) (=> (tptp.is_fun1568535512t_bool Aa) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool tptp.top_to1257323279t_bool) Aa)) (= Aa tptp.top_to1257323279t_bool)))))
% 0.65/1.03 (assume a490 (forall ((Aa $$unsorted)) (=> (tptp.is_fun2015243113i_bool Aa) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool tptp.top_to207207712i_bool) Aa)) (= Aa tptp.top_to207207712i_bool)))))
% 0.65/1.03 (assume a491 (forall ((F $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) A)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Xa) A)) (=> (= (tptp.hAPP_nat_nat F X_1) (tptp.hAPP_nat_nat F Xa)) (= X_1 Xa)))))))))
% 0.65/1.03 (assume a492 (forall ((F $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) A)) (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_1) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A)) (forall ((Xa $$unsorted)) (=> (tptp.is_Arr859726945e_indi Xa) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi Xa) A)) (=> (= (tptp.hAPP_A1895296483di_nat F X_1) (tptp.hAPP_A1895296483di_nat F Xa)) (= X_1 Xa)))))))))))
% 0.65/1.03 (assume a493 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) A)) (=> (not (= X_2 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Y_2) A)) (not (= (tptp.hAPP_nat_nat F X_2) (tptp.hAPP_nat_nat F Y_2)))))))))
% 0.65/1.03 (assume a494 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (and (tptp.is_Arr859726945e_indi X_2) (tptp.is_Arr859726945e_indi Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) A)) (=> (not (= X_2 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi Y_2) A)) (not (= (tptp.hAPP_A1895296483di_nat F X_2) (tptp.hAPP_A1895296483di_nat F Y_2))))))))))
% 0.65/1.03 (assume a495 (forall ((Y_2 $$unsorted) (X_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Y_2) A)) (= (= (tptp.hAPP_nat_nat F X_2) (tptp.hAPP_nat_nat F Y_2)) (= X_2 Y_2)))))))
% 0.65/1.03 (assume a496 (forall ((Y_2 $$unsorted) (X_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (and (tptp.is_Arr859726945e_indi Y_2) (tptp.is_Arr859726945e_indi X_2)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) A)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi Y_2) A)) (= (= (tptp.hAPP_A1895296483di_nat F X_2) (tptp.hAPP_A1895296483di_nat F Y_2)) (= X_2 Y_2))))))))
% 0.65/1.03 (assume a497 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) A)) (=> (= (tptp.hAPP_nat_nat F X_2) (tptp.hAPP_nat_nat F Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Y_2) A)) (= X_2 Y_2)))))))
% 0.65/1.03 (assume a498 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (and (tptp.is_Arr859726945e_indi X_2) (tptp.is_Arr859726945e_indi Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) A)) (=> (= (tptp.hAPP_A1895296483di_nat F X_2) (tptp.hAPP_A1895296483di_nat F Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi Y_2) A)) (= X_2 Y_2))))))))
% 0.65/1.03 (assume a499 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) (tptp.pi_Pro1873779901t_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1813625415t_bool F X_2)) (tptp.hAPP_P1122857141l_bool B X_2)))))))
% 0.65/1.03 (assume a500 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool F) (tptp.pi_Arr1801471756t_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A340536322t_bool F X_2)) (tptp.hAPP_A659996934l_bool B X_2)))))))
% 0.65/1.03 (assume a501 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) (tptp.pi_fun1555365306t_bool A B))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_f1817389232t_bool F X_2)) (tptp.hAPP_f1895971544l_bool B X_2)))))))
% 0.65/1.03 (assume a502 (= tptp.arrow_583275979e_Prof (tptp.pi_Arr1801471756t_bool tptp.top_to207207712i_bool (tptp.hAPP_f1639180358l_bool tptp.cOMBK_350223551e_indi tptp.arrow_912654623le_Lin))))
% 0.65/1.03 (assume a503 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat tptp.cOMBI_nat) A))))
% 0.65/1.03 (assume a504 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) (tptp.pi_Pro1873779901t_bool A (tptp.hAPP_f719005683l_bool tptp.cOMBK_1673635960le_alt B)))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1813625415t_bool F X_2)) B))))))
% 0.65/1.03 (assume a505 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool F) (tptp.pi_Arr1801471756t_bool A (tptp.hAPP_f1639180358l_bool tptp.cOMBK_350223551e_indi B)))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A340536322t_bool F X_2)) B))))))
% 0.65/1.03 (assume a506 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) (tptp.pi_fun1555365306t_bool A (tptp.hAPP_f633903640l_bool tptp.cOMBK_1918246033t_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_f1817389232t_bool F X_2)) B))))))
% 0.65/1.03 (assume a507 (forall ((Fa $$unsorted) (I_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_A416869060i_bool (tptp.hAPP_f783549695i_bool tptp.arrow_1549387998ctator Fa) I_1)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) tptp.arrow_583275979e_Prof)) (= (tptp.hAPP_f1817389232t_bool Fa X_1) (tptp.hAPP_A340536322t_bool X_1 I_1)))))))
% 0.65/1.03 (assume a508 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) tptp.top_top_fun_nat_bool)) (= (= (tptp.hAPP_nat_nat F X_2) (tptp.hAPP_nat_nat F Y_2)) (= X_2 Y_2)))))
% 0.65/1.03 (assume a509 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted)) (=> (and (tptp.is_Arr859726945e_indi X_2) (tptp.is_Arr859726945e_indi Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) tptp.top_to207207712i_bool)) (= (= (tptp.hAPP_A1895296483di_nat F X_2) (tptp.hAPP_A1895296483di_nat F Y_2)) (= X_2 Y_2))))))
% 0.65/1.03 (assume a510 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) tptp.top_top_fun_nat_bool)) (=> (= (tptp.hAPP_nat_nat F X_2) (tptp.hAPP_nat_nat F Y_2)) (= X_2 Y_2)))))
% 0.65/1.03 (assume a511 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (F $$unsorted)) (=> (and (tptp.is_Arr859726945e_indi X_2) (tptp.is_Arr859726945e_indi Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) tptp.top_to207207712i_bool)) (=> (= (tptp.hAPP_A1895296483di_nat F X_2) (tptp.hAPP_A1895296483di_nat F Y_2)) (= X_2 Y_2))))))
% 0.65/1.03 (assume a512 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (= (tptp.hAPP_nat_nat (tptp.hilber195283148at_nat A F) (tptp.hAPP_nat_nat F X_2)) X_2)))))
% 0.65/1.03 (assume a513 (forall ((X_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) A)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)) (= (tptp.hAPP_n619554777e_indi (tptp.hilber951314860di_nat A F) (tptp.hAPP_A1895296483di_nat F X_2)) X_2))))))
% 0.65/1.03 (assume a514 (forall ((Y_2 $$unsorted) (X_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (=> (= (tptp.hAPP_nat_nat F X_2) Y_2) (= (tptp.hAPP_nat_nat (tptp.hilber195283148at_nat A F) Y_2) X_2))))))
% 0.65/1.03 (assume a515 (forall ((Y_2 $$unsorted) (X_2 $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_2) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) A)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)) (=> (= (tptp.hAPP_A1895296483di_nat F X_2) Y_2) (= (tptp.hAPP_n619554777e_indi (tptp.hilber951314860di_nat A F) Y_2) X_2)))))))
% 0.65/1.03 (assume a516 (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1813625415t_bool F X_1)) (tptp.hAPP_P1122857141l_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) (tptp.pi_Pro1873779901t_bool A B))))))
% 0.65/1.03 (assume a517 (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_1) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A340536322t_bool F X_1)) (tptp.hAPP_A659996934l_bool B X_1)))))) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool F) (tptp.pi_Arr1801471756t_bool A B))))))
% 0.65/1.03 (assume a518 (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_f1817389232t_bool F X_1)) (tptp.hAPP_f1895971544l_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) (tptp.pi_fun1555365306t_bool A B))))))
% 0.65/1.03 (assume a519 (forall ((G $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) tptp.top_top_fun_nat_bool)) (=> (forall ((X_1 $$unsorted)) (= (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat G X_1)) X_1)) (= (tptp.hilber195283148at_nat tptp.top_top_fun_nat_bool F) G)))))
% 0.65/1.03 (assume a520 (forall ((G $$unsorted) (F $$unsorted)) (=> (tptp.is_fun1084921220e_indi G) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) tptp.top_to207207712i_bool)) (=> (forall ((X_1 $$unsorted)) (= (tptp.hAPP_A1895296483di_nat F (tptp.hAPP_n619554777e_indi G X_1)) X_1)) (= (tptp.hilber951314860di_nat tptp.top_to207207712i_bool F) G))))))
% 0.65/1.03 (assume a521 (forall ((A_19 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_19) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_19) tptp.one_one_nat)))))
% 0.65/1.03 (assume a522 (forall ((C_16 $$unsorted) (D_3 $$unsorted) (A_18 $$unsorted) (B_16 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_18) B_16)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_16) D_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_18) C_16)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_16) D_3)))))))
% 0.65/1.03 (assume a523 (forall ((C_15 $$unsorted) (D_2 $$unsorted) (A_17 $$unsorted) (B_15 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_17) B_15)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_15) D_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_17) C_15)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_15) D_2)))))))
% 0.65/1.03 (assume a524 (forall ((F $$unsorted)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= (tptp.hAPP_nat_nat F X_1) (tptp.hAPP_nat_nat F Y_1)) (= X_1 Y_1))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) tptp.top_top_fun_nat_bool)))))
% 0.65/1.03 (assume a525 (forall ((F $$unsorted)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_Arr859726945e_indi X_1) (tptp.is_Arr859726945e_indi Y_1)) (=> (= (tptp.hAPP_A1895296483di_nat F X_1) (tptp.hAPP_A1895296483di_nat F Y_1)) (= X_1 Y_1)))) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) tptp.top_to207207712i_bool)))))
% 0.65/1.03 (assume a526 (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool F) G)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool G) F)))))))
% 0.65/1.03 (assume a527 (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool F) G)) (and (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool F) G)) (not (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool G) F)))))))
% 0.65/1.03 (assume a528 (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool F) G)) (and (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool F) G)) (not (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool G) F)))))))
% 0.65/1.03 (assume a529 (forall ((B $$unsorted) (A_16 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le64728819t_bool A_16) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1079191765l_bool (tptp.pi_Pro1873779901t_bool A B)) (tptp.pi_Pro1873779901t_bool A_16 B))))))
% 0.65/1.03 (assume a530 (forall ((B $$unsorted) (A_16 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool A_16) A)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le1482529602l_bool (tptp.pi_Arr1801471756t_bool A B)) (tptp.pi_Arr1801471756t_bool A_16 B))))))
% 0.65/1.03 (assume a531 (forall ((B $$unsorted) (A_16 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le1482529602l_bool A_16) A)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le2143686384l_bool (tptp.pi_fun1555365306t_bool A B)) (tptp.pi_fun1555365306t_bool A_16 B))))))
% 0.65/1.03 (assume a532 (forall ((R_1 $$unsorted) (S_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f212509069l_bool (tptp.hAPP_f2078760383l_bool tptp.ord_le319160163t_bool (tptp.hAPP_f1840820673t_bool (tptp.hAPP_f775987425t_bool tptp.cOMBC_441619036t_bool (tptp.hAPP_f1092358369t_bool (tptp.cOMBB_333235735le_alt tptp.cOMBC_943734388l_bool) (tptp.hAPP_f1747206697l_bool (tptp.cOMBB_885534287le_alt (tptp.cOMBB_711698847le_alt tptp.member720722004le_alt)) tptp.produc1456060119le_alt))) R_1)) (tptp.hAPP_f1840820673t_bool (tptp.hAPP_f775987425t_bool tptp.cOMBC_441619036t_bool (tptp.hAPP_f1092358369t_bool (tptp.cOMBB_333235735le_alt tptp.cOMBC_943734388l_bool) (tptp.hAPP_f1747206697l_bool (tptp.cOMBB_885534287le_alt (tptp.cOMBB_711698847le_alt tptp.member720722004le_alt)) tptp.produc1456060119le_alt))) S_1))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le64728819t_bool R_1) S_1)))))
% 0.65/1.03 (assume a533 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1079191765l_bool A) tptp.top_to846262053l_bool))))
% 0.65/1.03 (assume a534 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le2143686384l_bool A) tptp.top_to1849101472l_bool))))
% 0.65/1.03 (assume a535 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le1482529602l_bool A) tptp.top_to935749874l_bool))))
% 0.65/1.03 (assume a536 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le64728819t_bool A) tptp.top_to1773227171t_bool))))
% 0.65/1.03 (assume a537 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) tptp.top_top_fun_nat_bool))))
% 0.65/1.03 (assume a538 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) tptp.top_to1257323279t_bool))))
% 0.65/1.03 (assume a539 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool A) tptp.top_to207207712i_bool))))
% 0.65/1.03 (assume a540 (forall ((A $$unsorted) (F $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) A))))))
% 0.65/1.03 (assume a541 (forall ((A $$unsorted) (F $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) B)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool A) B)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) A))))))
% 0.65/1.03 (assume a542 (forall ((B_14 $$unsorted) (A_15 $$unsorted) (C_14 $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_14) A_15) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_14) A_15)) (= B_14 C_14))))
% 0.65/1.03 (assume a543 (forall ((A_14 $$unsorted) (B_13 $$unsorted) (C_13 $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_14) B_13) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_14) C_13)) (= B_13 C_13))))
% 0.65/1.03 (assume a544 (forall ((A_13 $$unsorted) (B_12 $$unsorted) (C_12 $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_13) B_12) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_13) C_12)) (= B_12 C_12))))
% 0.65/1.03 (assume a545 (forall ((Ba $$unsorted) (Aa $$unsorted) (Ca $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ba) Aa) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ca) Aa)) (= Ba Ca))))
% 0.65/1.03 (assume a546 (forall ((Aa $$unsorted) (Ba $$unsorted) (Ca $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Aa) Ba) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Aa) Ca)) (= Ba Ca))))
% 0.65/1.03 (assume a547 (forall ((A_12 $$unsorted) (B_11 $$unsorted) (C_11 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_12) B_11)) C_11) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_12) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_11) C_11)))))
% 0.65/1.03 (assume a548 (forall ((X_2 $$unsorted)) (= (= tptp.one_one_nat X_2) (= X_2 tptp.one_one_nat))))
% 0.65/1.03 (assume a549 (forall ((C_10 $$unsorted) (A_11 $$unsorted) (B_10 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_10) A_11)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_10) B_10))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_11) B_10)))))
% 0.65/1.03 (assume a550 (forall ((A_10 $$unsorted) (C_9 $$unsorted) (B_9 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_10) C_9)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_9) C_9))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_10) B_9)))))
% 0.65/1.03 (assume a551 (forall ((C_8 $$unsorted) (D_1 $$unsorted) (A_9 $$unsorted) (B_8 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_9) B_8)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_8) D_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_9) C_8)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_8) D_1)))))))
% 0.65/1.03 (assume a552 (forall ((C_7 $$unsorted) (A_8 $$unsorted) (B_7 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_8) B_7)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_7) A_8)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_7) B_7))))))
% 0.65/1.03 (assume a553 (forall ((C_6 $$unsorted) (A_7 $$unsorted) (B_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_7) B_6)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_7) C_6)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_6) C_6))))))
% 0.65/1.03 (assume a554 (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ca) Aa)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ca) Ba))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) Ba)))))
% 0.65/1.03 (assume a555 (forall ((Aa $$unsorted) (Ca $$unsorted) (Ba $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Aa) Ca)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ba) Ca))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Aa) Ba)))))
% 0.65/1.03 (assume a556 (forall ((C_5 $$unsorted) (A_6 $$unsorted) (B_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_5) A_6)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_5) B_5))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_6) B_5)))))
% 0.65/1.03 (assume a557 (forall ((A_5 $$unsorted) (C_4 $$unsorted) (B_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_5) C_4)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_4) C_4))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_5) B_4)))))
% 0.65/1.03 (assume a558 (forall ((C_3 $$unsorted) (D $$unsorted) (A_4 $$unsorted) (B_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_4) B_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_3) D)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_4) C_3)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_3) D)))))))
% 0.65/1.03 (assume a559 (forall ((C_2 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_3) B_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_2) A_3)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_2) B_2))))))
% 0.65/1.03 (assume a560 (forall ((C_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_2) B_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_2) C_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_1) C_1))))))
% 0.65/1.03 (assume a561 (forall ((Ca $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ca) Aa)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ca) Ba))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) Ba)))))
% 0.65/1.03 (assume a562 (forall ((Aa $$unsorted) (Ca $$unsorted) (Ba $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Aa) Ca)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ba) Ca))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Aa) Ba)))))
% 0.65/1.03 (assume a563 (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F X_1)) (tptp.hAPP_nat_bool G X_1)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G)))))
% 0.65/1.03 (assume a564 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) A)) (= A B)))))
% 0.65/1.03 (assume a565 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le742797417l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool Ca) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool Ca) B))))))
% 0.65/1.03 (assume a566 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit Ca) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit Ca) B))))))
% 0.65/1.03 (assume a567 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi Ca) A)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi Ca) B))))))
% 0.65/1.03 (assume a568 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Ca) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Ca) B))))))
% 0.65/1.03 (assume a569 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1079191765l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool Ca) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool Ca) B))))))
% 0.65/1.03 (assume a570 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le2143686384l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool Ca) A)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool Ca) B))))))
% 0.65/1.03 (assume a571 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le1482529602l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool Ca) A)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool Ca) B))))))
% 0.65/1.03 (assume a572 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le64728819t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt Ca) A)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt Ca) B))))))
% 0.65/1.03 (assume a573 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A) B)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (not (= A B))))))
% 0.65/1.03 (assume a574 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool A) (tptp.is_fun1568535512t_bool B)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool A) B)) (and (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) B)) (not (= A B)))))))
% 0.65/1.03 (assume a575 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun2015243113i_bool A) (tptp.is_fun2015243113i_bool B)) (= (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool A) B)) (and (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool A) B)) (not (= A B)))))))
% 0.65/1.03 (assume a576 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (or (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A) B)) (= A B)))))
% 0.65/1.03 (assume a577 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun1568535512t_bool A) (tptp.is_fun1568535512t_bool B)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) B)) (or (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool A) B)) (= A B))))))
% 0.65/1.03 (assume a578 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.is_fun2015243113i_bool A) (tptp.is_fun2015243113i_bool B)) (= (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool A) B)) (or (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool A) B)) (= A B))))))
% 0.65/1.03 (assume a579 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)))))
% 0.65/1.03 (assume a580 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) B)))))
% 0.65/1.03 (assume a581 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool A) B)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool A) B)))))
% 0.65/1.03 (assume a582 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) C)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A) C))))))
% 0.65/1.03 (assume a583 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool B) C)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool A) C))))))
% 0.65/1.03 (assume a584 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool B) C)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool A) C))))))
% 0.65/1.03 (assume a585 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool B) C)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A) C))))))
% 0.65/1.03 (assume a586 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool B) C)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool A) C))))))
% 0.65/1.03 (assume a587 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool B) C)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool A) C))))))
% 0.65/1.03 (assume a588 (forall ((A $$unsorted) (B $$unsorted)) (=> (= A B) (not (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) A))))))))
% 0.65/1.03 (assume a589 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) C)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) C))))))
% 0.65/1.03 (assume a590 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le742797417l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) B))))))
% 0.65/1.03 (assume a591 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) B))))))
% 0.65/1.03 (assume a592 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) B))))))
% 0.65/1.03 (assume a593 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) B))))))
% 0.65/1.03 (assume a594 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1079191765l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) B))))))
% 0.65/1.03 (assume a595 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le2143686384l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) B))))))
% 0.65/1.03 (assume a596 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le1482529602l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) B))))))
% 0.65/1.03 (assume a597 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le64728819t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) B))))))
% 0.65/1.03 (assume a598 (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le742797417l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) B))))))
% 0.65/1.03 (assume a599 (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) B))))))
% 0.65/1.03 (assume a600 (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool A) B)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) B))))))
% 0.65/1.03 (assume a601 (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) B))))))
% 0.65/1.03 (assume a602 (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1079191765l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) B))))))
% 0.65/1.03 (assume a603 (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le2143686384l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) B))))))
% 0.65/1.03 (assume a604 (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le1482529602l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) B))))))
% 0.65/1.03 (assume a605 (forall ((B $$unsorted) (X_2 $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le64728819t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) B))))))
% 0.65/1.03 (assume a606 (forall ((X_2 $$unsorted) (Pa $$unsorted) (Q_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Pa) Q_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_2)) (tptp.hBOOL (tptp.hAPP_nat_bool Q_1 X_2))))))
% 0.65/1.03 (assume a607 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le742797417l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_2) B))))))
% 0.65/1.03 (assume a608 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_2) B))))))
% 0.65/1.03 (assume a609 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) A)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_2) B))))))
% 0.65/1.03 (assume a610 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) B))))))
% 0.65/1.03 (assume a611 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1079191765l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_2) B))))))
% 0.65/1.03 (assume a612 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le2143686384l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_2) B))))))
% 0.65/1.03 (assume a613 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le1482529602l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) A)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_2) B))))))
% 0.65/1.03 (assume a614 (forall ((X_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le64728819t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) A)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_2) B))))))
% 0.65/1.03 (assume a615 (forall ((A $$unsorted) (B $$unsorted)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) A)))))
% 0.65/1.03 (assume a616 (forall ((A $$unsorted) (B $$unsorted)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)))))
% 0.65/1.03 (assume a617 (forall ((Q_1 $$unsorted) (Pa $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Pa) Q_1)) (tptp.hBOOL (tptp.hAPP_nat_bool Q_1 X_2))))))
% 0.65/1.03 (assume a618 (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) A))))))
% 0.65/1.03 (assume a619 (forall ((A $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) A))))
% 0.65/1.03 (assume a620 (forall ((R_1 $$unsorted) (S_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le742797417l_bool (tptp.hAPP_f961197973l_bool (tptp.hAPP_f1996228283l_bool tptp.cOMBC_1455277858l_bool tptp.member_bool) R_1)) (tptp.hAPP_f961197973l_bool (tptp.hAPP_f1996228283l_bool tptp.cOMBC_1455277858l_bool tptp.member_bool) S_1))) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le742797417l_bool R_1) S_1)))))
% 0.65/1.03 (assume a621 (forall ((R_1 $$unsorted) (S_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool (tptp.hAPP_f427533077t_bool (tptp.hAPP_f1458726223t_bool tptp.cOMBC_2133163426l_bool tptp.member_Product_unit) R_1)) (tptp.hAPP_f427533077t_bool (tptp.hAPP_f1458726223t_bool tptp.cOMBC_2133163426l_bool tptp.member_Product_unit) S_1))) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool R_1) S_1)))))
% 0.65/1.03 (assume a622 (forall ((R_1 $$unsorted) (S_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool (tptp.hAPP_f1282033109i_bool (tptp.hAPP_f651290349i_bool tptp.cOMBC_264525026l_bool tptp.member161528657e_indi) R_1)) (tptp.hAPP_f1282033109i_bool (tptp.hAPP_f651290349i_bool tptp.cOMBC_264525026l_bool tptp.member161528657e_indi) S_1))) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool R_1) S_1)))))
% 0.65/1.03 (assume a623 (forall ((R_1 $$unsorted) (S_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool tptp.member_nat) R_1)) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool tptp.member_nat) S_1))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool R_1) S_1)))))
% 0.65/1.03 (assume a624 (forall ((R_1 $$unsorted) (S_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1079191765l_bool (tptp.hAPP_f574392641l_bool (tptp.hAPP_f1692576003l_bool tptp.cOMBC_344067350l_bool tptp.member1704306684t_bool) R_1)) (tptp.hAPP_f574392641l_bool (tptp.hAPP_f1692576003l_bool tptp.cOMBC_344067350l_bool tptp.member1704306684t_bool) S_1))) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1079191765l_bool R_1) S_1)))))
% 0.65/1.03 (assume a625 (forall ((R_1 $$unsorted) (S_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le2143686384l_bool (tptp.hAPP_f1028172757l_bool (tptp.hAPP_f863441901l_bool tptp.cOMBC_1528317666l_bool tptp.member1619170513t_bool) R_1)) (tptp.hAPP_f1028172757l_bool (tptp.hAPP_f863441901l_bool tptp.cOMBC_1528317666l_bool tptp.member1619170513t_bool) S_1))) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le2143686384l_bool R_1) S_1)))))
% 0.65/1.03 (assume a626 (forall ((R_1 $$unsorted) (S_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le1482529602l_bool (tptp.hAPP_f189058133l_bool (tptp.hAPP_f1500902601l_bool tptp.cOMBC_1722249314l_bool tptp.member1265098019t_bool) R_1)) (tptp.hAPP_f189058133l_bool (tptp.hAPP_f1500902601l_bool tptp.cOMBC_1722249314l_bool tptp.member1265098019t_bool) S_1))) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le1482529602l_bool R_1) S_1)))))
% 0.65/1.03 (assume a627 (forall ((R_1 $$unsorted) (S_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le64728819t_bool (tptp.hAPP_f137597973t_bool (tptp.hAPP_f1152614183t_bool tptp.cOMBC_420816290l_bool tptp.member720722004le_alt) R_1)) (tptp.hAPP_f137597973t_bool (tptp.hAPP_f1152614183t_bool tptp.cOMBC_420816290l_bool tptp.member720722004le_alt) S_1))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le64728819t_bool R_1) S_1)))))
% 0.65/1.03 (assume a628 (forall ((B $$unsorted) (C $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le742797417l_bool (tptp.hAPP_P1122857141l_bool B X_1)) (tptp.hAPP_P1122857141l_bool C X_1))))) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1079191765l_bool (tptp.pi_Pro1873779901t_bool A B)) (tptp.pi_Pro1873779901t_bool A C))))))
% 0.65/1.03 (assume a629 (forall ((B $$unsorted) (C $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_1) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1079191765l_bool (tptp.hAPP_A659996934l_bool B X_1)) (tptp.hAPP_A659996934l_bool C X_1)))))) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le1482529602l_bool (tptp.pi_Arr1801471756t_bool A B)) (tptp.pi_Arr1801471756t_bool A C))))))
% 0.65/1.03 (assume a630 (forall ((B $$unsorted) (C $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1079191765l_bool (tptp.hAPP_f1895971544l_bool B X_1)) (tptp.hAPP_f1895971544l_bool C X_1))))) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le2143686384l_bool (tptp.pi_fun1555365306t_bool A B)) (tptp.pi_fun1555365306t_bool A C))))))
% 0.65/1.03 (assume a631 (forall ((B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_bool X_1) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool X_1) B))))) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le742797417l_bool A) B)))))
% 0.65/1.03 (assume a632 (forall ((B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_1) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit X_1) B)))) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1874503007t_bool A) B)))))
% 0.65/1.03 (assume a633 (forall ((B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_1) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) B))))) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1028202352i_bool A) B)))))
% 0.65/1.03 (assume a634 (forall ((B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) B)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)))))
% 0.65/1.03 (assume a635 (forall ((B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_fun20916972t_bool X_1) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool X_1) B))))) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1079191765l_bool A) B)))))
% 0.65/1.03 (assume a636 (forall ((B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool X_1) B)))) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le2143686384l_bool A) B)))))
% 0.65/1.03 (assume a637 (forall ((B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) B)))) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le1482529602l_bool A) B)))))
% 0.65/1.03 (assume a638 (forall ((B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) B)))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le64728819t_bool A) B)))))
% 0.65/1.03 (assume a639 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_f612708895l_bool tptp.ord_le197158773l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool Ca) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool Ca) B))))))
% 0.65/1.03 (assume a640 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit Ca) A)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool tptp.member_Product_unit Ca) B))))))
% 0.65/1.03 (assume a641 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi Ca) A)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi Ca) B))))))
% 0.65/1.03 (assume a642 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Ca) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Ca) B))))))
% 0.65/1.03 (assume a643 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1700034367l_bool tptp.ord_le1260664009l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool Ca) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool Ca) B))))))
% 0.65/1.03 (assume a644 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f1216491309l_bool tptp.ord_le1141238780l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool Ca) A)) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool Ca) B))))))
% 0.65/1.03 (assume a645 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f1547458257l_bool tptp.ord_le194694222l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool Ca) A)) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool Ca) B))))))
% 0.65/1.03 (assume a646 (forall ((Ca $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f1344932147l_bool tptp.ord_le2113500159t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt Ca) A)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt Ca) B))))))
% 0.65/1.03 (assume a647 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool B) C)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A) C))))))
% 0.65/1.03 (assume a648 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool B) C)) (tptp.hBOOL (tptp.hAPP_f2028818269l_bool (tptp.hAPP_f272527115l_bool tptp.ord_le1976645739t_bool A) C))))))
% 0.65/1.03 (assume a649 (forall ((C $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool B) C)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_f563440173l_bool tptp.ord_le1791992956i_bool A) C))))))
% 0.65/1.03 (assume a650 (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (L_3 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X_2) (tptp.is_Arr723427730le_alt Y_2) (tptp.is_Arr723427730le_alt Aa) (tptp.is_Arr723427730le_alt Ba)) (=> (not (= Aa Ba)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_3) tptp.arrow_912654623le_Lin)) (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_2)) (tptp.arrow_207701375_below L_3 Aa Ba))) (and (not (= X_2 Y_2)) (=> (= Y_2 Aa) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Ba)) L_3))) (=> (not (= Y_2 Aa)) (and (=> (= X_2 Aa) (or (= Y_2 Ba) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt Ba) Y_2)) L_3)))) (=> (not (= X_2 Aa)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_2)) L_3))))))))))))
% 0.65/1.03 (assume a651 (forall ((M_2 $$unsorted) (K_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) K_1)) N_1)) (not (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) N_1))))))))
% 0.65/1.03 (assume a652 (forall ((M_2 $$unsorted) (K_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) K_1)) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_1)))))
% 0.65/1.03 (assume a653 (forall ((M_2 $$unsorted) (K_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) K_1)) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) N_1)))))
% 0.65/1.03 (assume a654 (forall ((N_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1) N_1)))))
% 0.65/1.03 (assume a655 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (not (= M_4 Na)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_4) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) M_4))))))
% 0.65/1.03 (assume a656 (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (= X Y)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) Y))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y) X))))))
% 0.65/1.03 (assume a657 (forall ((N_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1) N_1)))))
% 0.65/1.03 (assume a658 (forall ((N_1 $$unsorted) (M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1) M_2)) (not (= M_2 N_1)))))
% 0.65/1.03 (assume a659 (forall ((S $$unsorted) (T $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat S) T)) (not (= S T)))))
% 0.65/1.03 (assume a660 (forall ((Pa $$unsorted) (M_4 $$unsorted) (Na $$unsorted)) (=> (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_4) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool Pa Na) M_4))) (=> (=> (= M_4 Na) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool Pa Na) M_4))) (=> (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) M_4)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool Pa Na) M_4))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool Pa Na) M_4)))))))
% 0.65/1.03 (assume a661 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) N_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N_1) M_2))))
% 0.65/1.03 (assume a662 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat X) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) Z)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat X) Z)))))
% 0.65/1.03 (assume a663 (forall ((M_2 $$unsorted) (N_1 $$unsorted) (K_1 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) N_1)) K_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N_1) K_1)))))
% 0.65/1.03 (assume a664 (forall ((K $$unsorted) (M_4 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K) M_4) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K) Na)) (= M_4 Na))))
% 0.65/1.03 (assume a665 (forall ((M_4 $$unsorted) (K $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_4) K) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Na) K)) (= M_4 Na))))
% 0.65/1.03 (assume a666 (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_1) N_1))))
% 0.65/1.03 (assume a667 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_1) M_2)))))
% 0.65/1.03 (assume a668 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (= M_2 N_1) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_1)))))
% 0.65/1.03 (assume a669 (forall ((K_1 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J_2) K_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) K_1))))))
% 0.65/1.03 (assume a670 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_1) M_2)) (= M_2 N_1)))))
% 0.65/1.03 (assume a671 (forall ((L_3 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.is_Arr723427730le_alt X_2) (tptp.is_Arr723427730le_alt Y_2)) (=> (not (= X_2 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_3) tptp.arrow_912654623le_Lin)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.arrow_207701375_below L_3 X_2 Y_2)) tptp.arrow_912654623le_Lin)))))))
% 0.65/1.03 (assume a672 (forall ((K $$unsorted) (N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.plus_plus_nat) K)) N_2))))
% 0.65/1.03 (assume a673 (forall ((I $$unsorted) (J_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) J_2)) I)))))
% 0.65/1.03 (assume a674 (forall ((J_2 $$unsorted) (I $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) I)) I)))))
% 0.65/1.03 (assume a675 (forall ((K $$unsorted) (M_4 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K) M_4)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_4) Na)))))
% 0.65/1.03 (assume a676 (forall ((M_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) M_2))))))
% 0.65/1.03 (assume a677 (forall ((M_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) J_2))))))
% 0.65/1.03 (assume a678 (forall ((K_1 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) K_1))))))
% 0.65/1.03 (assume a679 (forall ((K_1 $$unsorted) (L_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K_1) L_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) L_2)))))))
% 0.65/1.03 (assume a680 (forall ((M_2 $$unsorted) (N_1 $$unsorted) (K_1 $$unsorted) (L_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K_1) L_2)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) L_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K_1) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_1))))))
% 0.65/1.03 (assume a681 (forall ((I $$unsorted) (J_2 $$unsorted) (K_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) J_2)) K_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) K_1)))))
% 0.65/1.03 (assume a682 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_4) Na)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_4) Na)) (not (= M_4 Na))))))
% 0.65/1.03 (assume a683 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_4) Na)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_4) Na)) (= M_4 Na)))))
% 0.65/1.03 (assume a684 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_1)))))
% 0.65/1.03 (assume a685 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_1)) (=> (not (= M_2 N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_1))))))
% 0.65/1.03 (assume a686 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_1)) (= M_2 N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_1)))))
% 0.65/1.03 (assume a687 (forall ((N_1 $$unsorted) (M_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) N_1)))))
% 0.65/1.03 (assume a688 (forall ((N_1 $$unsorted) (M_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N_1) M_2)))))
% 0.65/1.03 (assume a689 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_4) Na)) (exists ((K_2 $$unsorted)) (= Na (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_4) K_2))))))
% 0.65/1.03 (assume a690 (forall ((K $$unsorted) (M_4 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K) M_4)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_4) Na)))))
% 0.65/1.03 (assume a691 (forall ((M_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) M_2))))))
% 0.65/1.03 (assume a692 (forall ((M_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) J_2))))))
% 0.65/1.03 (assume a693 (forall ((K_1 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) K_1))))))
% 0.65/1.03 (assume a694 (forall ((K_1 $$unsorted) (L_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) L_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) L_2)))))))
% 0.65/1.03 (assume a695 (forall ((M_4 $$unsorted) (K $$unsorted) (F $$unsorted)) (=> (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat F M)) (tptp.hAPP_nat_nat F N))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat F M_4)) K)) (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_4) K)))))))
% 0.65/1.03 (assume a696 (forall ((I_1 $$unsorted) (J_1 $$unsorted) (F $$unsorted)) (=> (forall ((I_2 $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat F I_2)) (tptp.hAPP_nat_nat F J))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat F I_1)) (tptp.hAPP_nat_nat F J_1)))))))
% 0.65/1.03 (assume a697 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X) Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) Z))))))
% 0.65/1.03 (assume a698 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X) Z)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) Z))))))
% 0.65/1.03 (assume a699 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) Z)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) Z))))))
% 0.65/1.03 (assume a700 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) Z))))))
% 0.65/1.03 (assume a701 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X) Y)))))
% 0.65/1.03 (assume a702 (forall ((R_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hBOOL (tptp.in_rel1361124802le_alt R_1 X_2 Y_2)) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt X_2) Y_2)) R_1)))))
% 0.65/1.03 (assume a703 (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1813625415t_bool F X_1)) B)))) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) (tptp.pi_Pro1873779901t_bool A (tptp.hAPP_f719005683l_bool tptp.cOMBK_1673635960le_alt B)))))))
% 0.65/1.03 (assume a704 (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_1) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A340536322t_bool F X_1)) B))))) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool F) (tptp.pi_Arr1801471756t_bool A (tptp.hAPP_f1639180358l_bool tptp.cOMBK_350223551e_indi B)))))))
% 0.65/1.03 (assume a705 (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_f1817389232t_bool F X_1)) B)))) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) (tptp.pi_fun1555365306t_bool A (tptp.hAPP_f633903640l_bool tptp.cOMBK_1918246033t_bool B)))))))
% 0.65/1.03 (assume a706 (exists ((L_1 $$unsorted)) (and (tptp.is_fun20916972t_bool L_1) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool L_1) tptp.arrow_912654623le_Lin)))))
% 0.65/1.03 (assume a707 (forall ((B $$unsorted) (G $$unsorted) (F $$unsorted) (A $$unsorted)) (=> (forall ((W $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt W) A)) (= (tptp.hBOOL (tptp.hAPP_P1813625415t_bool F W)) (tptp.hBOOL (tptp.hAPP_P1813625415t_bool G W))))) (= (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) (tptp.pi_Pro1873779901t_bool A B))) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool G) (tptp.pi_Pro1873779901t_bool A B)))))))
% 0.65/1.03 (assume a708 (forall ((B $$unsorted) (F $$unsorted) (G $$unsorted) (A $$unsorted)) (=> (forall ((W $$unsorted)) (=> (tptp.is_Arr859726945e_indi W) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi W) A)) (= (tptp.hAPP_A340536322t_bool F W) (tptp.hAPP_A340536322t_bool G W))))) (= (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool F) (tptp.pi_Arr1801471756t_bool A B))) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool G) (tptp.pi_Arr1801471756t_bool A B)))))))
% 0.65/1.03 (assume a709 (forall ((B $$unsorted) (F $$unsorted) (G $$unsorted) (A $$unsorted)) (=> (forall ((W $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool W) A)) (= (tptp.hAPP_f1817389232t_bool F W) (tptp.hAPP_f1817389232t_bool G W)))) (= (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) (tptp.pi_fun1555365306t_bool A B))) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool G) (tptp.pi_fun1555365306t_bool A B)))))))
% 0.65/1.03 (assume a710 (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt X_1) A)) (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool tptp.member_bool (tptp.hAPP_P1813625415t_bool F X_1)) (tptp.hAPP_P1122857141l_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) (tptp.pi_Pro1873779901t_bool A B))))))
% 0.65/1.03 (assume a711 (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_Arr859726945e_indi X_1) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_A340536322t_bool F X_1)) (tptp.hAPP_A659996934l_bool B X_1)))))) (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool F) (tptp.pi_Arr1801471756t_bool A B))))))
% 0.65/1.03 (assume a712 (forall ((F $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool X_1) A)) (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool (tptp.hAPP_f1817389232t_bool F X_1)) (tptp.hAPP_f1895971544l_bool B X_1))))) (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) (tptp.pi_fun1555365306t_bool A B))))))
% 0.65/1.03 (assume a713 (forall ((F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1426445843l_bool (tptp.hAPP_f2040535501l_bool tptp.member_fun_nat_nat F) (tptp.pi_nat_nat A (tptp.hAPP_f1570313510t_bool tptp.cOMBK_583454926ol_nat B)))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.finite_card_nat A)) (tptp.finite_card_nat B))))))))
% 0.65/1.03 (assume a714 (forall ((F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f599997089l_bool (tptp.hAPP_f758593513l_bool tptp.member873781636di_nat F) (tptp.pi_Arr604548589di_nat A (tptp.hAPP_f1393414918t_bool tptp.cOMBK_1662914336e_indi B)))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.finite354462354e_indi A)) (tptp.finite_card_nat B))))))))
% 0.65/1.03 (assume a715 (forall ((F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) (tptp.pi_Pro1873779901t_bool A (tptp.hAPP_f719005683l_bool tptp.cOMBK_1673635960le_alt B)))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.inj_on398823523t_bool F) A)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool tptp.finite_finite_bool B)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.finite1044330389le_alt A)) (tptp.finite_card_bool B))))))))
% 0.65/1.03 (assume a716 (forall ((F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool F) (tptp.pi_Arr1801471756t_bool A (tptp.hAPP_f1639180358l_bool tptp.cOMBK_350223551e_indi B)))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1507564774t_bool F) A)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool tptp.finite274731772t_bool B)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.finite354462354e_indi A)) (tptp.finite945540987t_bool B))))))))
% 0.65/1.03 (assume a717 (forall ((F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) (tptp.pi_fun1555365306t_bool A (tptp.hAPP_f633903640l_bool tptp.cOMBK_1918246033t_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.inj_on1962565012t_bool F) A)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool tptp.finite274731772t_bool B)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.finite1524925796t_bool A)) (tptp.finite945540987t_bool B))))))))
% 0.65/1.03 (assume a718 (forall ((F $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Y_1) A)) (=> (= (tptp.hAPP_nat_nat F X_1) (tptp.hAPP_nat_nat F Y_1)) (= X_1 Y_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) A)))))
% 0.65/1.03 (assume a719 (forall ((F $$unsorted) (A $$unsorted)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.is_Arr859726945e_indi X_1) (tptp.is_Arr859726945e_indi Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi X_1) A)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi Y_1) A)) (=> (= (tptp.hAPP_A1895296483di_nat F X_1) (tptp.hAPP_A1895296483di_nat F Y_1)) (= X_1 Y_1)))))) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) A)))))
% 0.65/1.03 (assume a720 (forall ((F $$unsorted) (G $$unsorted) (A $$unsorted)) (=> (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_1) A)) (= (tptp.hAPP_nat_nat F A_1) (tptp.hAPP_nat_nat G A_1)))) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat F) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat G) A))))))
% 0.65/1.03 (assume a721 (forall ((F $$unsorted) (G $$unsorted) (A $$unsorted)) (=> (forall ((A_1 $$unsorted)) (=> (tptp.is_Arr859726945e_indi A_1) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool tptp.member161528657e_indi A_1) A)) (= (tptp.hAPP_A1895296483di_nat F A_1) (tptp.hAPP_A1895296483di_nat G A_1))))) (= (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat F) A)) (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat G) A))))))
% 0.65/1.03 (assume a722 (tptp.hBOOL (tptp.hAPP_f160177134l_bool tptp.finite921964625e_indi tptp.top_to207207712i_bool)))
% 0.65/1.03 (assume a723 (forall ((G $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1021828400l_bool (tptp.hAPP_f2022872455l_bool tptp.member1935624595e_indi F) (tptp.pi_fun596906370e_indi A (tptp.hAPP_f1077635369i_bool tptp.cOMBK_1399131793t_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.inj_on302999388e_indi F) A)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool G) (tptp.pi_Arr1801471756t_bool B (tptp.hAPP_f1639180358l_bool tptp.cOMBK_350223551e_indi A)))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1507564774t_bool G) B)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool tptp.finite274731772t_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool tptp.finite921964625e_indi B)) (= (tptp.finite945540987t_bool A) (tptp.finite354462354e_indi B))))))))))
% 0.65/1.03 (assume a724 (forall ((G $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1363425282l_bool (tptp.hAPP_f1980578603l_bool tptp.member363954533t_bool F) (tptp.pi_fun328162388t_bool A (tptp.hAPP_f23348649l_bool tptp.cOMBK_761999167t_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.inj_on735362094t_bool F) A)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool G) (tptp.pi_fun1555365306t_bool B (tptp.hAPP_f633903640l_bool tptp.cOMBK_1918246033t_bool A)))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.inj_on1962565012t_bool G) B)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool tptp.finite274731772t_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool tptp.finite1323840035t_bool B)) (= (tptp.finite945540987t_bool A) (tptp.finite1524925796t_bool B))))))))))
% 0.65/1.03 (assume a725 (forall ((G $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool tptp.member1704306684t_bool F) (tptp.pi_Pro1873779901t_bool A (tptp.hAPP_f719005683l_bool tptp.cOMBK_1673635960le_alt B)))) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.inj_on398823523t_bool F) A)) (=> (tptp.hBOOL (tptp.hAPP_f2053170815l_bool (tptp.hAPP_f452450509l_bool tptp.member300433020le_alt G) (tptp.pi_boo1542163389le_alt B (tptp.hAPP_f581841297t_bool tptp.cOMBK_1685845624l_bool A)))) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool (tptp.inj_on67207011le_alt G) B)) (=> (tptp.hBOOL (tptp.hAPP_f1733357041l_bool tptp.finite955821396le_alt A)) (=> (tptp.hBOOL (tptp.hAPP_f387058535l_bool tptp.finite_finite_bool B)) (= (tptp.finite1044330389le_alt A) (tptp.finite_card_bool B))))))))))
% 0.65/1.03 (assume a726 (forall ((G $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool tptp.member1265098019t_bool F) (tptp.pi_Arr1801471756t_bool A (tptp.hAPP_f1639180358l_bool tptp.cOMBK_350223551e_indi B)))) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1507564774t_bool F) A)) (=> (tptp.hBOOL (tptp.hAPP_f1021828400l_bool (tptp.hAPP_f2022872455l_bool tptp.member1935624595e_indi G) (tptp.pi_fun596906370e_indi B (tptp.hAPP_f1077635369i_bool tptp.cOMBK_1399131793t_bool A)))) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.inj_on302999388e_indi G) B)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool tptp.finite921964625e_indi A)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool tptp.finite274731772t_bool B)) (= (tptp.finite354462354e_indi A) (tptp.finite945540987t_bool B))))))))))
% 0.65/1.03 (assume a727 (forall ((G $$unsorted) (F $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool tptp.member1619170513t_bool F) (tptp.pi_fun1555365306t_bool A (tptp.hAPP_f633903640l_bool tptp.cOMBK_1918246033t_bool B)))) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool (tptp.inj_on1962565012t_bool F) A)) (=> (tptp.hBOOL (tptp.hAPP_f1363425282l_bool (tptp.hAPP_f1980578603l_bool tptp.member363954533t_bool G) (tptp.pi_fun328162388t_bool B (tptp.hAPP_f23348649l_bool tptp.cOMBK_761999167t_bool A)))) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool (tptp.inj_on735362094t_bool G) B)) (=> (tptp.hBOOL (tptp.hAPP_f147218624l_bool tptp.finite1323840035t_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f560517119l_bool tptp.finite274731772t_bool B)) (= (tptp.finite1524925796t_bool A) (tptp.finite945540987t_bool B))))))))))
% 0.65/1.03 (assume a728 (forall ((K $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) K))))))
% 0.65/1.03 (assume a729 (forall ((K $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat) K))))))
% 0.65/1.03 (assume a730 (= (tptp.finite1949902593t_unit tptp.top_to1257323279t_bool) tptp.one_one_nat))
% 0.65/1.03 (assume a731 (forall ((Na $$unsorted)) (= (tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) Na))) Na)))
% 0.65/1.03 (assume a732 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat tptp.top_top_fun_nat_bool))))
% 0.65/1.03 (assume a733 (forall ((Pa $$unsorted) (I_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj) Pa) (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) I_1)))))))
% 0.65/1.03 (assume a734 (forall ((N_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat N_2)) (exists ((M $$unsorted)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) N_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) M))))))))
% 0.65/1.03 (assume a735 (forall ((N_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat N_2)) (exists ((M $$unsorted)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) N_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) M))))))))
% 0.65/1.03 (assume a736 (forall ((U $$unsorted) (F $$unsorted)) (=> (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) (tptp.hAPP_nat_nat F N)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool (tptp.hAPP_f618557131t_bool (tptp.cOMBB_800536526ol_nat tptp.ord_less_eq_nat) F)) U)))))))
% 0.65/1.03 (assume a737 (forall ((Na $$unsorted) (N_2 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) N_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Na)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat N_2)))))
% 0.65/1.03 (assume a738 (forall ((N_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1) tptp.zero_zero_nat)))))
% 0.65/1.03 (assume a739 (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N_1))))
% 0.65/1.03 (assume a740 (forall ((N_1 $$unsorted)) (=> (not (= N_1 tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_1)))))
% 0.65/1.03 (assume a741 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_1)) (not (= N_1 tptp.zero_zero_nat)))))
% 0.65/1.03 (assume a742 (forall ((N_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1) tptp.zero_zero_nat)))))
% 0.65/1.03 (assume a743 (forall ((Na $$unsorted)) (= (not (= Na tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)))))
% 0.65/1.03 (assume a744 (forall ((N_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1) tptp.zero_zero_nat)))))
% 0.65/1.03 (assume a745 (forall ((N_1 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) N_1) N_1)))
% 0.65/1.03 (assume a746 (forall ((M_2 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) tptp.zero_zero_nat) M_2)))
% 0.65/1.03 (assume a747 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_4) Na) tptp.zero_zero_nat) (and (= M_4 tptp.zero_zero_nat) (= Na tptp.zero_zero_nat)))))
% 0.65/1.03 (assume a748 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) N_1) M_2) (= N_1 tptp.zero_zero_nat))))
% 0.65/1.03 (assume a749 (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) tptp.zero_zero_nat)) (= Na tptp.zero_zero_nat))))
% 0.65/1.03 (assume a750 (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N_1))))
% 0.65/1.03 (assume a751 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_4) Na))) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) M_4)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na))))))
% 0.65/1.03 (assume a752 (forall ((Na $$unsorted) (Pa $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa Na)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K_2) Na)) (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) K_2)) (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa I_2))))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K_2) tptp.one_one_nat)))))))))
% 0.65/1.03 (assume a753 (forall ((Na $$unsorted) (Pa $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa Na)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) Na)) (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) K_2)) (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa I_2))))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa K_2))))))))
% 0.65/1.03 (assume a754 (forall ((I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K_2)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) K_2) J_2))))))
% 0.65/1.03 (assume a755 (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1) (tptp.hAPP_nat_nat tptp.suc N_1)))))
% 0.65/1.03 (assume a756 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M_2)) (tptp.hAPP_nat_nat tptp.suc N_1))))))
% 0.65/1.03 (assume a757 (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat tptp.suc N_1)))))
% 0.65/1.03 (assume a758 (forall ((N_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc N_1)) N_1)))))
% 0.65/1.03 (assume a759 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_4) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Na)) M_4)))))
% 0.65/1.03 (assume a760 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_4) (tptp.hAPP_nat_nat tptp.suc Na))) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_4) Na)) (= M_4 (tptp.hAPP_nat_nat tptp.suc Na))))))
% 0.65/1.03 (assume a761 (forall ((Na $$unsorted) (M_4 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Na)) (tptp.hAPP_nat_nat tptp.suc M_4))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) M_4)))))
% 0.65/1.03 (assume a762 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) (tptp.hAPP_nat_nat tptp.suc N_1))))))
% 0.65/1.03 (assume a763 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) (tptp.hAPP_nat_nat tptp.suc N_1))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_1))) (= M_2 (tptp.hAPP_nat_nat tptp.suc N_1))))))
% 0.65/1.03 (assume a764 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_1)))))
% 0.65/1.03 (assume a765 (forall ((X $$unsorted) (Y $$unsorted)) (=> (= (tptp.hAPP_nat_nat tptp.suc X) (tptp.hAPP_nat_nat tptp.suc Y)) (= X Y))))
% 0.65/1.03 (assume a766 (forall ((Nat_4 $$unsorted) (Nat_3 $$unsorted)) (= (= (tptp.hAPP_nat_nat tptp.suc Nat_4) (tptp.hAPP_nat_nat tptp.suc Nat_3)) (= Nat_4 Nat_3))))
% 0.65/1.03 (assume a767 (forall ((N_1 $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc N_1) N_1))))
% 0.65/1.03 (assume a768 (forall ((N_1 $$unsorted)) (not (= N_1 (tptp.hAPP_nat_nat tptp.suc N_1)))))
% 0.65/1.03 (assume a769 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) (tptp.hAPP_nat_nat tptp.suc N_1)))))
% 0.65/1.03 (assume a770 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N_1) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) N_1)))))
% 0.65/1.03 (assume a771 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) (tptp.hAPP_nat_nat tptp.suc N_1)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) N_1)))))
% 0.65/1.03 (assume a772 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_4) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc M_4))))))
% 0.65/1.03 (assume a773 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_4) (tptp.hAPP_nat_nat tptp.suc Na))) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_4) Na)) (= M_4 Na)))))
% 0.65/1.03 (assume a774 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M_4)) (tptp.hAPP_nat_nat tptp.suc Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_4) Na)))))
% 0.65/1.03 (assume a775 (forall ((Na $$unsorted) (M_4 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) M_4))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc M_4))) (= Na M_4)))))
% 0.65/1.03 (assume a776 (forall ((N_1 $$unsorted) (M_2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1) M_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_1) (tptp.hAPP_nat_nat tptp.suc M_2))) (= M_2 N_1)))))
% 0.65/1.03 (assume a777 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) (tptp.hAPP_nat_nat tptp.suc N_1))))))
% 0.65/1.03 (assume a778 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_1)) (=> (not (= (tptp.hAPP_nat_nat tptp.suc M_2) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N_1))))))
% 0.65/1.03 (assume a779 (forall ((K_1 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J_2) K_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc I)) K_1))))))
% 0.65/1.03 (assume a780 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) (tptp.hAPP_nat_nat tptp.suc N_1))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_1))) (= M_2 N_1)))))
% 0.65/1.03 (assume a781 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_1)))))
% 0.65/1.03 (assume a782 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M_2)) (tptp.hAPP_nat_nat tptp.suc N_1))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_1)))))
% 0.65/1.03 (assume a783 (= tptp.one_one_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))
% 0.65/1.03 (assume a784 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_1)))))
% 0.65/1.03 (assume a785 (forall ((M_4 $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_4) Na)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc M_4))) (= Na M_4)))))
% 0.65/1.03 (assume a786 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_2)) N_1)))))
% 0.65/1.03 (assume a787 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_2) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) (tptp.hAPP_nat_nat tptp.suc N_1))))))
% 0.65/1.03 (assume a788 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_4)) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_4) Na)))))
% 0.65/1.03 (assume a789 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_4) (tptp.hAPP_nat_nat tptp.suc Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_4) Na)))))
% 0.65/1.03 (assume a790 (forall ((Na $$unsorted) (M_4 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) M_4)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Na)) M_4)))))
% 0.65/1.03 (assume a791 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_4) Na)) (exists ((K_2 $$unsorted)) (= Na (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_4) K_2)))))))
% 0.65/1.03 (assume a792 (forall ((I $$unsorted) (M_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) I))))))
% 0.65/1.03 (assume a793 (forall ((I $$unsorted) (M_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) M_2))))))
% 0.65/1.03 (assume a794 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_4) Na)) (or (and (= M_4 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (= Na tptp.zero_zero_nat)) (and (= M_4 tptp.zero_zero_nat) (= Na (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 0.65/1.03 (assume a795 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_4) Na) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (or (and (= M_4 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (= Na tptp.zero_zero_nat)) (and (= M_4 tptp.zero_zero_nat) (= Na (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 0.65/1.03 (assume a796 (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (exists ((M $$unsorted)) (= Na (tptp.hAPP_nat_nat tptp.suc M))))))
% 0.65/1.03 (assume a797 (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= Na tptp.zero_zero_nat))))
% 0.65/1.03 (assume a798 (forall ((M_4 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_4) (tptp.hAPP_nat_nat tptp.suc Na))) (or (= M_4 tptp.zero_zero_nat) (exists ((J $$unsorted)) (and (= M_4 (tptp.hAPP_nat_nat tptp.suc J)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J) Na))))))))
% 0.65/1.03 (assume a799 (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.inj_on_nat_nat tptp.suc) N_2))))
% 0.65/1.03 (assume a800 (forall ((M_2 $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc M_2) tptp.zero_zero_nat))))
% 0.65/1.03 (assume a801 (forall ((M_2 $$unsorted)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc M_2)))))
% 0.65/1.03 (assume a802 (forall ((Nat_2 $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc Nat_2) tptp.zero_zero_nat))))
% 0.65/1.03 (assume a803 (forall ((M_2 $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc M_2) tptp.zero_zero_nat))))
% 0.65/1.03 (assume a804 (forall ((Nat_1 $$unsorted)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc Nat_1)))))
% 0.65/1.03 (assume a805 (forall ((M_2 $$unsorted)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc M_2)))))
% 0.65/1.03 (assume a806 (forall ((X_1 $$unsorted)) (= (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc X_1)))))
% 0.65/1.03 (assume a807 (forall ((Na $$unsorted)) (= (tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat) Na))) (tptp.hAPP_nat_nat tptp.suc Na))))
% 0.65/1.03 (assume a808 (forall ((I_1 $$unsorted) (M_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat tptp.zero_zero_nat) M_3)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.finite_card_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool (tptp.hAPP_f66927821l_bool (tptp.cOMBB_1146692694ol_nat tptp.member_nat) tptp.suc)) M_3)) (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) I_1))))) (tptp.finite_card_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool tptp.member_nat) M_3)) (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) (tptp.hAPP_nat_nat tptp.suc I_1)))))))))
% 0.65/1.03 (assume a809 (forall ((I_1 $$unsorted) (M_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat tptp.zero_zero_nat) M_3)) (not (= (tptp.finite_card_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool tptp.member_nat) M_3)) (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) (tptp.hAPP_nat_nat tptp.suc I_1))))) tptp.zero_zero_nat)))))
% 0.65/1.03 (assume a810 (forall ((I_1 $$unsorted) (M_3 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat tptp.zero_zero_nat) M_3))) (= (tptp.finite_card_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool (tptp.hAPP_f66927821l_bool (tptp.cOMBB_1146692694ol_nat tptp.member_nat) tptp.suc)) M_3)) (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) I_1)))) (tptp.finite_card_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool tptp.member_nat) M_3)) (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) (tptp.hAPP_nat_nat tptp.suc I_1)))))))))
% 0.65/1.03 (assume a811 (forall ((Pa $$unsorted) (I_1 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa J_1)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc I_2))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa I_2))))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa I_1)))))))
% 0.65/1.03 (assume a812 (forall ((M_2 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_2) N_1)) (exists ((K_2 $$unsorted)) (= N_1 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_2) K_2)))))))
% 0.65/1.03 (assume a813 (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_1)) (exists ((M $$unsorted)) (= N_1 (tptp.hAPP_nat_nat tptp.suc M))))))
% 0.65/1.03 (assume a814 (forall ((N_1 $$unsorted)) (= (tptp.hAPP_nat_nat tptp.suc N_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) N_1))))
% 0.65/1.03 (assume a815 (forall ((N_1 $$unsorted)) (= (tptp.hAPP_nat_nat tptp.suc N_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N_1) tptp.one_one_nat))))
% 0.65/1.03 (assume a816 (forall ((N_1 $$unsorted) (M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc N_1)) M_1)) (exists ((M $$unsorted)) (= M_1 (tptp.hAPP_nat_nat tptp.suc M))))))
% 0.65/1.03 (assume a817 (forall ((I $$unsorted) (K_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) K_1)) (=> (not (= K_1 (tptp.hAPP_nat_nat tptp.suc I))) (not (forall ((J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J)) (not (= K_1 (tptp.hAPP_nat_nat tptp.suc J))))))))))
% 0.65/1.03 (assume a818 (forall ((I $$unsorted) (K_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc I)) K_1)) (not (forall ((J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J)) (not (= K_1 (tptp.hAPP_nat_nat tptp.suc J)))))))))
% 0.65/1.03 (assume a819 (forall ((N_1 $$unsorted)) (=> (not (= N_1 tptp.zero_zero_nat)) (exists ((M $$unsorted)) (= N_1 (tptp.hAPP_nat_nat tptp.suc M))))))
% 0.65/1.03 (assume a820 (forall ((Y $$unsorted)) (=> (not (= Y tptp.zero_zero_nat)) (not (forall ((Nat $$unsorted)) (not (= Y (tptp.hAPP_nat_nat tptp.suc Nat))))))))
% 0.65/1.03 (assume a821 (forall ((Pa $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa K)) (=> (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc N))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa N)))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat))))))
% 0.65/1.03 (assume a822 (forall ((Na $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat)) (=> (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa N)) (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc N))))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa Na))))))
% 0.65/1.03 (assume a823 (= (tptp.image_837079859di_nat tptp.h tptp.top_to207207712i_bool) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) (tptp.finite354462354e_indi tptp.top_to207207712i_bool))))
% 0.65/1.03 (assume a824 (forall ((L $$unsorted) (U $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat L) U)))))
% 0.65/1.03 (assume a825 (not (forall ((H $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f160177134l_bool (tptp.inj_on1331630279di_nat H) tptp.top_to207207712i_bool)) (not (= (tptp.image_837079859di_nat H tptp.top_to207207712i_bool) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) (tptp.finite354462354e_indi tptp.top_to207207712i_bool))))))))
% 0.65/1.03 (assume a826 (forall ((A $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat K) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.finite_card_nat A))))) (= A (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat K) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.finite_card_nat A)))))))
% 0.65/1.03 (assume a827 (tptp.hBOOL tptp.fTrue))
% 0.65/1.03 (assume a828 (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))))
% 0.65/1.03 (assume a829 (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q)))))
% 0.65/1.03 (assume a830 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL P))))
% 0.65/1.03 (assume a831 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL Q))))
% 0.65/1.03 (assume a832 (forall ((P $$unsorted)) (= (tptp.hAPP_nat_nat tptp.cOMBI_nat P) P)))
% 0.65/1.03 (assume a833 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat X) Y))) (= X Y))))
% 0.65/1.03 (assume a834 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat X) Y)))))
% 0.65/1.03 (assume a835 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_nat_bool (tptp.hAPP_b1013836512t_bool tptp.cOMBK_bool_nat P) Q) P))))
% 0.65/1.03 (assume a836 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_P1676879539t_bool (tptp.hAPP_b1096750261t_bool tptp.cOMBK_790042732t_unit P) Q) P))))
% 0.65/1.03 (assume a837 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat P) Q) R) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat P R) Q))))
% 0.65/1.03 (assume a838 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool P) Q) R) (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool P R) Q))))
% 0.65/1.03 (assume a839 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.cOMBS_nat_bool_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_n1006566506l_bool P R) (tptp.hAPP_nat_bool Q R)))))
% 0.65/1.03 (assume a840 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f1570313510t_bool tptp.cOMBK_583454926ol_nat P) Q) P)))
% 0.65/1.03 (assume a841 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_A416869060i_bool (tptp.hAPP_b2116075462i_bool tptp.cOMBK_1391252605e_indi P) Q) P))))
% 0.65/1.03 (assume a842 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f618557131t_bool (tptp.cOMBB_800536526ol_nat P) Q) R) (tptp.hAPP_n1699378549t_bool P (tptp.hAPP_nat_nat Q R)))))
% 0.65/1.03 (assume a843 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool P) Q) R) (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool P R) Q))))
% 0.65/1.03 (assume a844 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n1006566506l_bool (tptp.hAPP_f1146629647l_bool (tptp.cOMBB_1015721476ol_nat P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_nat_bool Q R)))))
% 0.65/1.03 (assume a845 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_bool_bool (tptp.hAPP_f961197973l_bool (tptp.hAPP_f1996228283l_bool tptp.cOMBC_1455277858l_bool P) Q) R) (tptp.hAPP_f387058535l_bool (tptp.hAPP_b1787118453l_bool P R) Q))))
% 0.65/1.03 (assume a846 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A416869060i_bool (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool P) Q) R) (tptp.hAPP_nat_bool (tptp.hAPP_A1948275303t_bool P R) Q))))
% 0.65/1.03 (assume a847 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_A1948275303t_bool (tptp.hAPP_f1393414918t_bool tptp.cOMBK_1662914336e_indi P) Q) P)))
% 0.65/1.03 (assume a848 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n215258509l_bool (tptp.hAPP_f66927821l_bool (tptp.cOMBB_1146692694ol_nat P) Q) R) (tptp.hAPP_n215258509l_bool P (tptp.hAPP_nat_nat Q R)))))
% 0.65/1.03 (assume a849 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1676879539t_bool (tptp.hAPP_f427533077t_bool (tptp.hAPP_f1458726223t_bool tptp.cOMBC_2133163426l_bool P) Q) R) (tptp.hAPP_f2028818269l_bool (tptp.hAPP_P607165281l_bool P R) Q))))
% 0.65/1.03 (assume a850 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1948275303t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi P) Q) R) (tptp.hAPP_n1699378549t_bool P (tptp.hAPP_A1895296483di_nat Q R)))))
% 0.65/1.03 (assume a851 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_P1813625415t_bool (tptp.hAPP_b763490121t_bool tptp.cOMBK_1733734784le_alt P) Q) P))))
% 0.65/1.03 (assume a852 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.is_fun20916972t_bool X) (= (tptp.hAPP_f137597973t_bool (tptp.hAPP_f1000663785t_bool (tptp.hAPP_b910261233t_bool tptp.if_fun1158274329t_bool tptp.fTrue) X) Y) X))))
% 0.65/1.03 (assume a853 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.is_fun20916972t_bool Y) (= (tptp.hAPP_f137597973t_bool (tptp.hAPP_f1000663785t_bool (tptp.hAPP_b910261233t_bool tptp.if_fun1158274329t_bool tptp.fFalse) X) Y) Y))))
% 0.65/1.03 (assume a854 (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))))
% 0.65/1.03 (assume a855 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A416869060i_bool (tptp.hAPP_f1282033109i_bool (tptp.hAPP_f651290349i_bool tptp.cOMBC_264525026l_bool P) Q) R) (tptp.hAPP_f160177134l_bool (tptp.hAPP_A45661955l_bool P R) Q))))
% 0.65/1.03 (assume a856 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f1733357041l_bool (tptp.hAPP_b805997823l_bool tptp.cOMBK_715978704t_bool P) Q) P))))
% 0.65/1.03 (assume a857 (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_P1122857141l_bool (tptp.hAPP_f719005683l_bool tptp.cOMBK_1673635960le_alt P) Q) P)))
% 0.65/1.03 (assume a858 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun20916972t_bool P) (= (tptp.hAPP_b763490121t_bool (tptp.hAPP_f581841297t_bool tptp.cOMBK_1685845624l_bool P) Q) P))))
% 0.65/1.03 (assume a859 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun20916972t_bool P) (= (tptp.hAPP_A340536322t_bool (tptp.hAPP_f590186314t_bool tptp.cOMBK_776703103e_indi P) Q) P))))
% 0.65/1.03 (assume a860 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1120018583t_bool (tptp.hAPP_f1068593625t_bool (tptp.hAPP_f372913425t_bool tptp.cOMBC_943734388l_bool P) Q) R) (tptp.hAPP_f1733357041l_bool (tptp.hAPP_A433435097l_bool P R) Q))))
% 0.65/1.03 (assume a861 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f1378099862l_bool (tptp.hAPP_b1461182872l_bool tptp.cOMBK_776847951t_bool P) Q) P))))
% 0.65/1.03 (assume a862 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun2015243113i_bool P) (= (tptp.hAPP_f431432850i_bool (tptp.hAPP_f1077635369i_bool tptp.cOMBK_1399131793t_bool P) Q) P))))
% 0.65/1.03 (assume a863 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1420103068l_bool P) (= (tptp.hAPP_A659996934l_bool (tptp.hAPP_f1639180358l_bool tptp.cOMBK_350223551e_indi P) Q) P))))
% 0.65/1.03 (assume a864 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A340536322t_bool (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool P) Q) R) (tptp.hAPP_A1014090479t_bool (tptp.hAPP_A85603248t_bool P R) Q))))
% 0.65/1.03 (assume a865 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1781286015t_bool (tptp.hAPP_f1840820673t_bool (tptp.hAPP_f775987425t_bool tptp.cOMBC_441619036t_bool P) Q) R) (tptp.hAPP_f1068593625t_bool (tptp.hAPP_A64811457t_bool P R) Q))))
% 0.65/1.03 (assume a866 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1813625415t_bool (tptp.hAPP_f137597973t_bool (tptp.hAPP_f1152614183t_bool tptp.cOMBC_420816290l_bool P) Q) R) (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool P R) Q))))
% 0.65/1.03 (assume a867 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A85603248t_bool (tptp.hAPP_A711952286t_bool (tptp.hAPP_f114580065t_bool tptp.cOMBC_1377016489t_bool P) Q) R) (tptp.hAPP_A28770973t_bool (tptp.hAPP_A1202525278t_bool P R) Q))))
% 0.65/1.03 (assume a868 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1733357041l_bool (tptp.hAPP_f574392641l_bool (tptp.hAPP_f1692576003l_bool tptp.cOMBC_344067350l_bool P) Q) R) (tptp.hAPP_f560517119l_bool (tptp.hAPP_f1332197581l_bool P R) Q))))
% 0.65/1.03 (assume a869 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A433435097l_bool (tptp.hAPP_f1656652505l_bool (tptp.cOMBB_711698847le_alt P) Q) R) (tptp.hAPP_P1151433609l_bool P (tptp.hAPP_A1561816353le_alt Q R)))))
% 0.65/1.03 (assume a870 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A340536322t_bool (tptp.hAPP_f590186314t_bool (tptp.hAPP_f1975142533t_bool tptp.cOMBC_1894996001t_bool P) Q) R) (tptp.hAPP_f137597973t_bool (tptp.hAPP_A1906804694t_bool P R) Q))))
% 0.65/1.03 (assume a871 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A340536322t_bool (tptp.cOMBS_178315313t_bool P Q) R) (tptp.hAPP_f137597973t_bool (tptp.hAPP_A1906804694t_bool P R) (tptp.hAPP_A340536322t_bool Q R)))))
% 0.65/1.03 (assume a872 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_f446648900l_bool (tptp.hAPP_b651754310l_bool tptp.cOMBK_577652221t_bool P) Q) P))))
% 0.65/1.03 (assume a873 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun701126715l_bool P) (= (tptp.hAPP_f1332130404l_bool (tptp.hAPP_f23348649l_bool tptp.cOMBK_761999167t_bool P) Q) P))))
% 0.65/1.03 (assume a874 (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_fun1420103068l_bool P) (= (tptp.hAPP_f1895971544l_bool (tptp.hAPP_f633903640l_bool tptp.cOMBK_1918246033t_bool P) Q) P))))
% 0.65/1.03 (assume a875 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A85603248t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi P) Q) R) (tptp.hAPP_f102394819t_bool P (tptp.hAPP_A340536322t_bool Q R)))))
% 0.65/1.03 (assume a876 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1378099862l_bool (tptp.hAPP_f189058133l_bool (tptp.hAPP_f1500902601l_bool tptp.cOMBC_1722249314l_bool P) Q) R) (tptp.hAPP_f147218624l_bool (tptp.hAPP_f621397159l_bool P R) Q))))
% 0.65/1.03 (assume a877 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A643475905l_bool (tptp.hAPP_f1747206697l_bool (tptp.cOMBB_885534287le_alt P) Q) R) (tptp.hAPP_f1656652505l_bool P (tptp.hAPP_A1171966089le_alt Q R)))))
% 0.65/1.03 (assume a878 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1202525278t_bool (tptp.hAPP_f1044120523t_bool (tptp.cOMBB_930893948e_indi P) Q) R) (tptp.hAPP_f684072049t_bool P (tptp.hAPP_A340536322t_bool Q R)))))
% 0.65/1.03 (assume a879 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1906804694t_bool (tptp.hAPP_f1898540574t_bool (tptp.hAPP_f1283354413t_bool tptp.cOMBC_1373788917t_bool P) Q) R) (tptp.hAPP_f1000663785t_bool (tptp.hAPP_A725195434t_bool P R) Q))))
% 0.65/1.03 (assume a880 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A1906804694t_bool (tptp.cOMBS_995062533t_bool P Q) R) (tptp.hAPP_f1000663785t_bool (tptp.hAPP_A725195434t_bool P R) (tptp.hAPP_A340536322t_bool Q R)))))
% 0.65/1.03 (assume a881 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A64811457t_bool (tptp.hAPP_f1092358369t_bool (tptp.cOMBB_333235735le_alt P) Q) R) (tptp.hAPP_f372913425t_bool P (tptp.hAPP_A643475905l_bool Q R)))))
% 0.65/1.03 (assume a882 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_A725195434t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi P) Q) R) (tptp.hAPP_b910261233t_bool P (tptp.hAPP_A416869060i_bool Q R)))))
% 0.65/1.03 (assume a883 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f446648900l_bool (tptp.hAPP_f1028172757l_bool (tptp.hAPP_f863441901l_bool tptp.cOMBC_1528317666l_bool P) Q) R) (tptp.hAPP_f322109294l_bool (tptp.hAPP_f881677315l_bool P R) Q))))
% 0.65/1.03 (assume a884 (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_f1817389232t_bool tptp.f tptp.p)))))
% 0.65/1.03 (assume a885 true)
% 0.65/1.03 (step t1 (cl (= (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_312654597_mktop) tptp.p)) tptp.e)) (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.fequal_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_A711952286t_bool (tptp.hAPP_f114580065t_bool tptp.cOMBC_1377016489t_bool (tptp.hAPP_f1044120523t_bool (tptp.cOMBB_930893948e_indi tptp.arrow_1046586475_above) tptp.p)) tptp.c)) tptp.e)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_163947511_mkbot) tptp.p)) tptp.e)))))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_f1817389232t_bool tptp.f tptp.p))))) :rule symm :premises (a141))
% 0.65/1.03 (step t2 (cl (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_312654597_mktop) tptp.p)) tptp.e)) (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.fequal_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_A711952286t_bool (tptp.hAPP_f114580065t_bool tptp.cOMBC_1377016489t_bool (tptp.hAPP_f1044120523t_bool (tptp.cOMBB_930893948e_indi tptp.arrow_1046586475_above) tptp.p)) tptp.c)) tptp.e)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_163947511_mkbot) tptp.p)) tptp.e))))))) (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_f1817389232t_bool tptp.f tptp.p)))) :rule equiv1 :premises (t1))
% 0.65/1.04 (step t3 (cl (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_f1817389232t_bool tptp.f tptp.p))) (not (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_f1817389232t_bool tptp.f (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.ord_less_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_312654597_mktop) tptp.p)) tptp.e)) (tptp.cOMBS_178315313t_bool (tptp.cOMBS_995062533t_bool (tptp.hAPP_f1931036015t_bool (tptp.cOMBB_810329756e_indi tptp.if_fun1158274329t_bool) (tptp.hAPP_n1600508401i_bool (tptp.hAPP_f595617317i_bool tptp.cOMBC_70761414t_bool (tptp.hAPP_f1882280879t_bool (tptp.cOMBB_552200224e_indi tptp.fequal_nat) tptp.h)) tptp.n)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_A711952286t_bool (tptp.hAPP_f114580065t_bool tptp.cOMBC_1377016489t_bool (tptp.hAPP_f1044120523t_bool (tptp.cOMBB_930893948e_indi tptp.arrow_1046586475_above) tptp.p)) tptp.c)) tptp.e)) (tptp.hAPP_A630236912t_bool (tptp.hAPP_f832306437t_bool tptp.cOMBC_325526267t_bool (tptp.hAPP_f2027600413t_bool (tptp.cOMBB_640263118e_indi tptp.arrow_163947511_mkbot) tptp.p)) tptp.e)))))))) :rule reordering :premises (t2))
% 0.65/1.04 (step t4 (cl (tptp.hBOOL (tptp.hAPP_f1733357041l_bool (tptp.hAPP_P1151433609l_bool tptp.member720722004le_alt (tptp.hAPP_A1561816353le_alt (tptp.hAPP_A1171966089le_alt tptp.produc1456060119le_alt tptp.c) tptp.d)) (tptp.hAPP_f1817389232t_bool tptp.f tptp.p)))) :rule resolution :premises (t3 a140))
% 0.65/1.04 (step t5 (cl) :rule resolution :premises (a884 t4))
% 0.65/1.04
% 0.65/1.04 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.aiuomXRn8V/cvc5---1.0.5_21057.smt2
% 0.65/1.04 % cvc5---1.0.5 exiting
% 0.65/1.04 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------