TSTP Solution File: SWW473_3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW473_3 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 18:20:00 EDT 2024
% Result : Theorem 6.62s 6.89s
% Output : Proof 6.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.37 % Problem : SWW473_3 : TPTP v8.2.0. Released v5.3.0.
% 0.13/0.38 % Command : do_cvc5 %s %d
% 0.38/0.59 % Computer : n018.cluster.edu
% 0.38/0.59 % Model : x86_64 x86_64
% 0.38/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.38/0.59 % Memory : 8042.1875MB
% 0.38/0.59 % OS : Linux 3.10.0-693.el7.x86_64
% 0.38/0.60 % CPULimit : 300
% 0.38/0.60 % WCLimit : 300
% 0.38/0.60 % DateTime : Sun May 26 05:22:54 EDT 2024
% 0.38/0.60 % CPUTime :
% 1.07/1.29 %----Proving TF0_NAR, FOF, or CNF
% 6.62/6.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 6.62/6.89 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.xaxILyH4Vi/cvc5---1.0.5_825.smt2
% 6.62/6.89 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.xaxILyH4Vi/cvc5---1.0.5_825.smt2
% 6.62/6.89 (assume a0 (forall ((Ts tptp.fun_a_bool) (G tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Ts) G)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.p G) Ts)))))
% 6.62/6.89 (assume a1 (forall ((A tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool A)) (tptp.hBOOL (tptp.hAPP_f1593524852l_bool tptp.finite2095298929l_bool (tptp.collec1409689523l_bool (tptp.hAPP_f317860125l_bool (tptp.cOMBC_348868698l_bool tptp.ord_le1848167016l_bool) A)))))))
% 6.62/6.89 (assume a2 (forall ((A tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A)) (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool (tptp.collec1015864663l_bool (tptp.hAPP_f1772781669l_bool (tptp.cOMBC_595898202l_bool tptp.ord_le1454342156l_bool) A)))))))
% 6.62/6.89 (assume a3 (forall ((A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.collec1613912337l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool tptp.ord_le675606854l_bool) A)))))))
% 6.62/6.89 (assume a4 (forall ((A tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A)) (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool (tptp.collec707592106l_bool (tptp.hAPP_f1434722111l_bool (tptp.cOMBC_331553030l_bool tptp.ord_le1375614389l_bool) A)))))))
% 6.62/6.89 (assume a5 (forall ((A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.hAPP_f1631501043l_bool (tptp.cOMBC_1732670874l_bool tptp.ord_le1311769555a_bool) A)))))))
% 6.62/6.89 (assume a6 (forall ((A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.ord_le313189616e_bool) A)))))))
% 6.62/6.89 (assume a7 (forall ((A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.hAPP_f103356543l_bool (tptp.cOMBC_1693257480l_bool tptp.ord_le1568362934t_bool) A)))))))
% 6.62/6.89 (assume a8 (forall ((A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool (tptp.collect_fun_int_bool (tptp.hAPP_f284875647l_bool (tptp.cOMBC_605892544l_bool tptp.ord_le951220754t_bool) A)))))))
% 6.62/6.89 (assume a9 (forall ((H tptp.fun_pn665169337t_bool) (F_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool (tptp.image_1512837979t_bool H F_1))))))
% 6.62/6.89 (assume a10 (forall ((H tptp.fun_pn406123357t_bool) (F_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_2129980159t_bool H F_1))))))
% 6.62/6.89 (assume a11 (forall ((H tptp.fun_pn800050071e_bool) (F_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_47868345e_bool H F_1))))))
% 6.62/6.89 (assume a12 (forall ((H tptp.fun_pname_fun_a_bool) (F_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_112932426a_bool H F_1))))))
% 6.62/6.89 (assume a13 (forall ((H tptp.fun_nat_a) (F_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_nat_a H F_1))))))
% 6.62/6.89 (assume a14 (forall ((H tptp.fun_nat_fun_int_bool) (F_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_1)) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool (tptp.image_1556378401t_bool H F_1))))))
% 6.62/6.89 (assume a15 (forall ((H tptp.fun_nat_fun_nat_bool) (F_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_1)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_26036933t_bool H F_1))))))
% 6.62/6.89 (assume a16 (forall ((H tptp.fun_na936072029e_bool) (F_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_1655916159e_bool H F_1))))))
% 6.62/6.89 (assume a17 (forall ((H tptp.fun_nat_fun_a_bool) (F_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_1)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_nat_fun_a_bool H F_1))))))
% 6.62/6.89 (assume a18 (forall ((H tptp.fun_int_a) (F_1 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int F_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_int_a H F_1))))))
% 6.62/6.89 (assume a19 (forall ((H tptp.fun_int_fun_int_bool) (F_1 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int F_1)) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool (tptp.image_275383677t_bool H F_1))))))
% 6.62/6.89 (assume a20 (forall ((H tptp.fun_int_fun_nat_bool) (F_1 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int F_1)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_892525857t_bool H F_1))))))
% 6.62/6.89 (assume a21 (forall ((H tptp.fun_in2065004473e_bool) (F_1 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int F_1)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_637364955e_bool H F_1))))))
% 6.62/6.89 (assume a22 (forall ((H tptp.fun_int_fun_a_bool) (F_1 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int F_1)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_int_fun_a_bool H F_1))))))
% 6.62/6.89 (assume a23 (forall ((H tptp.fun_a_pname) (F_1 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a F_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_a_pname H F_1))))))
% 6.62/6.89 (assume a24 (forall ((H tptp.fun_fu953875929_pname) (F_1 tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool F_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_62782965_pname H F_1))))))
% 6.62/6.89 (assume a25 (forall ((H tptp.fun_fu665170229_pname) (F_1 tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool F_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1921560913_pname H F_1))))))
% 6.62/6.89 (assume a26 (forall ((H tptp.fun_fu1499449723_pname) (F_1 tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1283814551_pname H F_1))))))
% 6.62/6.89 (assume a27 (forall ((H tptp.fun_fun_a_bool_pname) (F_1 tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool F_1)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1854862208_pname H F_1))))))
% 6.62/6.89 (assume a28 (forall ((H tptp.fun_a_nat) (F_1 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a F_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_a_nat H F_1))))))
% 6.62/6.89 (assume a29 (forall ((H tptp.fun_fun_int_bool_nat) (F_1 tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool F_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_1431733819ol_nat H F_1))))))
% 6.62/6.89 (assume a30 (forall ((H tptp.fun_fun_nat_bool_nat) (F_1 tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool F_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_496248727ol_nat H F_1))))))
% 6.62/6.89 (assume a31 (forall ((H tptp.fun_fu1668467777ol_nat) (F_1 tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_1551609309ol_nat H F_1))))))
% 6.62/6.89 (assume a32 (forall ((H tptp.fun_fun_a_bool_nat) (F_1 tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool F_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_fun_a_bool_nat H F_1))))))
% 6.62/6.89 (assume a33 (forall ((H tptp.fun_a_int) (F_1 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a F_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.image_a_int H F_1))))))
% 6.62/6.89 (assume a34 (forall ((H tptp.fun_fun_int_bool_int) (F_1 tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool F_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.image_2069007511ol_int H F_1))))))
% 6.62/6.89 (assume a35 (forall ((H tptp.fun_fun_nat_bool_int) (F_1 tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool F_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.image_1133522419ol_int H F_1))))))
% 6.62/6.89 (assume a36 (forall ((H tptp.fun_fu1830380701ol_int) (F_1 tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool F_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.image_41399353ol_int H F_1))))))
% 6.62/6.89 (assume a37 (forall ((H tptp.fun_fun_a_bool_int) (F_1 tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool F_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.image_fun_a_bool_int H F_1))))))
% 6.62/6.89 (assume a38 (forall ((H tptp.fun_pname_a) (F_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_pname_a H F_1))))))
% 6.62/6.89 (assume a39 (forall ((H tptp.fun_nat_int) (F_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.image_nat_int H F_1))))))
% 6.62/6.89 (assume a40 (forall ((A_2 tptp.fun_int_bool) (A tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool A)) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool (tptp.hAPP_f1948010709l_bool (tptp.hAPP_f587666462l_bool tptp.insert_fun_int_bool A_2) A))))))
% 6.62/6.89 (assume a41 (forall ((A_2 tptp.fun_nat_bool) (A tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.hAPP_f1246832597l_bool (tptp.hAPP_f633452666l_bool tptp.insert_fun_nat_bool A_2) A))))))
% 6.62/6.89 (assume a42 (forall ((A_2 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_2) A))))))
% 6.62/6.89 (assume a43 (forall ((A_2 tptp.fun_a_bool) (A tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.hAPP_f2117159681l_bool (tptp.hAPP_f1531278575l_bool tptp.insert_fun_a_bool A_2) A))))))
% 6.62/6.89 (assume a44 (forall ((A_2 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_2) A))))))
% 6.62/6.89 (assume a45 (forall ((A_2 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) A))))))
% 6.62/6.89 (assume a46 (forall ((A_2 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) A))))))
% 6.62/6.89 (assume a47 (forall ((A_2 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) A))))))
% 6.62/6.89 (assume a48 (forall ((F tptp.fun_pname_pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_pname_pname F A))) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A))))))
% 6.62/6.89 (assume a49 (forall ((F tptp.fun_a_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_a_a F A))) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A))))))
% 6.62/6.89 (assume a50 (forall ((F tptp.fun_fun_int_bool_a) (A tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_fun_int_bool_a F A))) (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool A))))))
% 6.62/6.89 (assume a51 (forall ((F tptp.fun_fun_nat_bool_a) (A tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_fun_nat_bool_a F A))) (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A))))))
% 6.62/6.89 (assume a52 (forall ((F tptp.fun_fun_pname_bool_a) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_876012084bool_a F A))) (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A))))))
% 6.62/6.89 (assume a53 (forall ((F tptp.fun_fun_a_bool_a) (A tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_fun_a_bool_a F A))) (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A))))))
% 6.62/6.89 (assume a54 (forall ((F tptp.fun_pname_nat) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_pname_nat F A))) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A))))))
% 6.62/6.89 (assume a55 (forall ((F tptp.fun_a_nat) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_a_nat F A))) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A))))))
% 6.62/6.89 (assume a56 (forall ((F tptp.fun_fun_int_bool_nat) (A tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_1431733819ol_nat F A))) (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool A))))))
% 6.62/6.89 (assume a57 (forall ((F tptp.fun_fun_nat_bool_nat) (A tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_496248727ol_nat F A))) (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A))))))
% 6.62/6.89 (assume a58 (forall ((F tptp.fun_fu1668467777ol_nat) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_1551609309ol_nat F A))) (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A))))))
% 6.62/6.89 (assume a59 (forall ((F tptp.fun_fun_a_bool_nat) (A tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_fun_a_bool_nat F A))) (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A))))))
% 6.62/6.89 (assume a60 (forall ((F tptp.fun_pname_int) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.image_pname_int F A))) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A))))))
% 6.62/6.89 (assume a61 (forall ((F tptp.fun_a_int) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.image_a_int F A))) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A))))))
% 6.62/6.89 (assume a62 (forall ((F tptp.fun_fun_int_bool_int) (A tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.image_2069007511ol_int F A))) (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool A))))))
% 6.62/6.89 (assume a63 (forall ((F tptp.fun_fun_nat_bool_int) (A tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.image_1133522419ol_int F A))) (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A))))))
% 6.62/6.89 (assume a64 (forall ((F tptp.fun_fu1830380701ol_int) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.image_41399353ol_int F A))) (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A))))))
% 6.62/6.89 (assume a65 (forall ((F tptp.fun_fun_a_bool_int) (A tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.image_fun_a_bool_int F A))) (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A))))))
% 6.62/6.89 (assume a66 (forall ((F tptp.fun_a_pname) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_a_pname F A))) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A))))))
% 6.62/6.89 (assume a67 (forall ((F tptp.fun_nat_pname) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_nat_pname F A))) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A))))))
% 6.62/6.89 (assume a68 (forall ((F tptp.fun_int_pname) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_int_pname F A))) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A))))))
% 6.62/6.89 (assume a69 (forall ((F tptp.fun_pname_a) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_pname_a F A))) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A))))))
% 6.62/6.89 (assume a70 (forall ((F tptp.fun_nat_int) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.image_nat_int F A))) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A))))))
% 6.62/6.89 (assume a71 (forall ((A tptp.fun_fu819804446l_bool) (B tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool tptp.ord_le1848167016l_bool A) B)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool A)) (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool B)))))))
% 6.62/6.89 (assume a72 (forall ((A tptp.fun_fu425979586l_bool) (B tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool A) B)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A)) (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool B)))))))
% 6.62/6.89 (assume a73 (forall ((A tptp.fun_fu1430349052l_bool) (B tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A) B)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A)) (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool B)))))))
% 6.62/6.89 (assume a74 (forall ((A tptp.fun_fun_a_bool_bool) (B tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool A) B)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A)) (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool B)))))))
% 6.62/6.89 (assume a75 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A)) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname B)))))))
% 6.62/6.89 (assume a76 (forall ((A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A)) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a B)))))))
% 6.62/6.89 (assume a77 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A)) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat B)))))))
% 6.62/6.89 (assume a78 (forall ((A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A)) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int B)))))))
% 6.62/6.89 (assume a79 (forall ((A tptp.fun_fu819804446l_bool) (B tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool tptp.ord_le1848167016l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool B)) (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool A))) (= A B))))))
% 6.62/6.89 (assume a80 (forall ((A tptp.fun_fu425979586l_bool) (B tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool B)) (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A))) (= A B))))))
% 6.62/6.89 (assume a81 (forall ((A tptp.fun_fu1430349052l_bool) (B tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool B)) (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A))) (= A B))))))
% 6.62/6.89 (assume a82 (forall ((A tptp.fun_fun_a_bool_bool) (B tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool B)) (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A))) (= A B))))))
% 6.62/6.89 (assume a83 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname B)) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A))) (= A B))))))
% 6.62/6.89 (assume a84 (forall ((A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a B)) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A))) (= A B))))))
% 6.62/6.89 (assume a85 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat B)) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A))) (= A B))))))
% 6.62/6.89 (assume a86 (forall ((A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int B)) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A))) (= A B))))))
% 6.62/6.89 (assume a87 (forall ((X_1 tptp.fun_int_bool) (A tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool A)) (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool (tptp.hAPP_f1948010709l_bool (tptp.hAPP_f587666462l_bool tptp.insert_fun_int_bool X_1) A)))))))
% 6.62/6.89 (assume a88 (forall ((X_1 tptp.fun_nat_bool) (A tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A)) (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.hAPP_f1246832597l_bool (tptp.hAPP_f633452666l_bool tptp.insert_fun_nat_bool X_1) A)))))))
% 6.62/6.89 (assume a89 (forall ((X_1 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A)) (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) A)))))))
% 6.62/6.89 (assume a90 (forall ((X_1 tptp.fun_a_bool) (A tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A)) (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.hAPP_f2117159681l_bool (tptp.hAPP_f1531278575l_bool tptp.insert_fun_a_bool X_1) A)))))))
% 6.62/6.89 (assume a91 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A)) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)))))))
% 6.62/6.89 (assume a92 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A)) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A)))))))
% 6.62/6.89 (assume a93 (forall ((X_1 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A)) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A)))))))
% 6.62/6.89 (assume a94 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A)) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)))))))
% 6.62/6.89 (assume a95 (forall ((X_1 tptp.fun_int_bool) (A tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool A)) (and (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f628503027l_bool tptp.member_fun_int_bool X_1) A)) (= (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool (tptp.hAPP_f1948010709l_bool (tptp.hAPP_f587666462l_bool tptp.insert_fun_int_bool X_1) A)) (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool A))) (=> (not (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f628503027l_bool tptp.member_fun_int_bool X_1) A))) (= (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool (tptp.hAPP_f1948010709l_bool (tptp.hAPP_f587666462l_bool tptp.insert_fun_int_bool X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool A))))))))
% 6.62/6.89 (assume a96 (forall ((X_1 tptp.fun_nat_bool) (A tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A)) (and (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool X_1) A)) (= (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.hAPP_f1246832597l_bool (tptp.hAPP_f633452666l_bool tptp.insert_fun_nat_bool X_1) A)) (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A))) (=> (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool X_1) A))) (= (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.hAPP_f1246832597l_bool (tptp.hAPP_f633452666l_bool tptp.insert_fun_nat_bool X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A))))))))
% 6.62/6.89 (assume a97 (forall ((X_1 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (and (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) A)) (= (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) A)) (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A))) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) A))) (= (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A))))))))
% 6.62/6.89 (assume a98 (forall ((X_1 tptp.fun_a_bool) (A tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A)) (and (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool X_1) A)) (= (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.hAPP_f2117159681l_bool (tptp.hAPP_f1531278575l_bool tptp.insert_fun_a_bool X_1) A)) (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A))) (=> (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool X_1) A))) (= (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.hAPP_f2117159681l_bool (tptp.hAPP_f1531278575l_bool tptp.insert_fun_a_bool X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A))))))))
% 6.62/6.89 (assume a99 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (= (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A))))))))
% 6.62/6.89 (assume a100 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (and (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A)) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A))) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A))))))))
% 6.62/6.89 (assume a101 (forall ((X_1 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (and (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A)) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A))) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A))) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A))))))))
% 6.62/6.89 (assume a102 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (and (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A)) (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A))) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A))) (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A))))))))
% 6.62/6.89 (assume a103 (forall ((X_1 tptp.fun_int_bool) (A tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool A)) (=> (not (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f628503027l_bool tptp.member_fun_int_bool X_1) A))) (= (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool (tptp.hAPP_f1948010709l_bool (tptp.hAPP_f587666462l_bool tptp.insert_fun_int_bool X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool A)))))))
% 6.62/6.89 (assume a104 (forall ((X_1 tptp.fun_nat_bool) (A tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool X_1) A))) (= (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.hAPP_f1246832597l_bool (tptp.hAPP_f633452666l_bool tptp.insert_fun_nat_bool X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool A)))))))
% 6.62/6.89 (assume a105 (forall ((X_1 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool X_1) A))) (= (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool A)))))))
% 6.62/6.89 (assume a106 (forall ((X_1 tptp.fun_a_bool) (A tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A)) (=> (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool X_1) A))) (= (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.hAPP_f2117159681l_bool (tptp.hAPP_f1531278575l_bool tptp.insert_fun_a_bool X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool A)))))))
% 6.62/6.89 (assume a107 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (= (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A)))))))
% 6.62/6.89 (assume a108 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A))) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A)))))))
% 6.62/6.89 (assume a109 (forall ((X_1 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A))) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A)))))))
% 6.62/6.89 (assume a110 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A))) (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A)))))))
% 6.62/6.89 (assume a111 (forall ((Q_3 tptp.fun_a_bool) (Pa tptp.fun_a_bool)) (=> (or (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a Pa))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a Q_3)))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj Pa) Q_3)))))))
% 6.62/6.89 (assume a112 (forall ((Q_3 tptp.fun_fu819804446l_bool) (Pa tptp.fun_fu819804446l_bool)) (=> (or (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool (tptp.collect_fun_int_bool Pa))) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool (tptp.collect_fun_int_bool Q_3)))) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool (tptp.collect_fun_int_bool (tptp.cOMBS_1912792529l_bool (tptp.cOMBB_1974511970t_bool tptp.fconj Pa) Q_3)))))))
% 6.62/6.89 (assume a113 (forall ((Q_3 tptp.fun_fu425979586l_bool) (Pa tptp.fun_fu425979586l_bool)) (=> (or (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool Pa))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool Q_3)))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj Pa) Q_3)))))))
% 6.62/6.89 (assume a114 (forall ((Q_3 tptp.fun_fu1430349052l_bool) (Pa tptp.fun_fu1430349052l_bool)) (=> (or (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool Pa))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool Q_3)))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj Pa) Q_3)))))))
% 6.62/6.89 (assume a115 (forall ((Q_3 tptp.fun_fun_a_bool_bool) (Pa tptp.fun_fun_a_bool_bool)) (=> (or (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool Pa))) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool Q_3)))) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj Pa) Q_3)))))))
% 6.62/6.89 (assume a116 (forall ((Q_3 tptp.fun_pname_bool) (Pa tptp.fun_pname_bool)) (=> (or (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname Pa))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname Q_3)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj Pa) Q_3)))))))
% 6.62/6.89 (assume a117 (forall ((Q_3 tptp.fun_nat_bool) (Pa tptp.fun_nat_bool)) (=> (or (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat Pa))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat Q_3)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj Pa) Q_3)))))))
% 6.62/6.89 (assume a118 (forall ((Q_3 tptp.fun_int_bool) (Pa tptp.fun_int_bool)) (=> (or (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int Pa))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int Q_3)))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fconj Pa) Q_3)))))))
% 6.62/6.89 (assume a119 (forall ((N tptp.nat) (M_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M_1)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc M_1)) N) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) N))))))
% 6.62/6.89 (assume a120 (forall ((K tptp.nat)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat) K))))))
% 6.62/6.89 (assume a121 (forall ((Na tptp.nat)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat) Na))) (tptp.hAPP_nat_nat tptp.suc Na))))
% 6.62/6.89 (assume a122 (forall ((X tptp.nat) (Y tptp.nat)) (=> (= (tptp.hAPP_nat_nat tptp.suc X) (tptp.hAPP_nat_nat tptp.suc Y)) (= X Y))))
% 6.62/6.89 (assume a123 (forall ((Nat_3 tptp.nat) (Nat_4 tptp.nat)) (= (= (tptp.hAPP_nat_nat tptp.suc Nat_3) (tptp.hAPP_nat_nat tptp.suc Nat_4)) (= Nat_3 Nat_4))))
% 6.62/6.89 (assume a124 (forall ((N tptp.nat)) (not (= (tptp.hAPP_nat_nat tptp.suc N) N))))
% 6.62/6.89 (assume a125 (forall ((N tptp.nat)) (not (= N (tptp.hAPP_nat_nat tptp.suc N)))))
% 6.62/6.89 (assume a126 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M_1)) (= M_1 N)))))
% 6.62/6.89 (assume a127 (forall ((K_1 tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J) K_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) K_1))))))
% 6.62/6.89 (assume a128 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (= M_1 N) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N)))))
% 6.62/6.89 (assume a129 (forall ((M_1 tptp.nat) (N tptp.nat)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M_1)))))
% 6.62/6.89 (assume a130 (forall ((N tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) N))))
% 6.62/6.89 (assume a131 (forall ((I_1 tptp.nat) (J tptp.nat) (K_1 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I_1) J)) K_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I_1) K_1)) J))))
% 6.62/6.89 (assume a132 (forall ((Pa tptp.fun_a_bool) (Q_3 tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fdisj Pa) Q_3)))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a Pa))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a Q_3)))))))
% 6.62/6.89 (assume a133 (forall ((Pa tptp.fun_fu819804446l_bool) (Q_3 tptp.fun_fu819804446l_bool)) (= (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool (tptp.collect_fun_int_bool (tptp.cOMBS_1912792529l_bool (tptp.cOMBB_1974511970t_bool tptp.fdisj Pa) Q_3)))) (and (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool (tptp.collect_fun_int_bool Pa))) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool (tptp.collect_fun_int_bool Q_3)))))))
% 6.62/6.89 (assume a134 (forall ((Pa tptp.fun_fu425979586l_bool) (Q_3 tptp.fun_fu425979586l_bool)) (= (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj Pa) Q_3)))) (and (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool Pa))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool Q_3)))))))
% 6.62/6.89 (assume a135 (forall ((Pa tptp.fun_fu1430349052l_bool) (Q_3 tptp.fun_fu1430349052l_bool)) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj Pa) Q_3)))) (and (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool Pa))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool Q_3)))))))
% 6.62/6.89 (assume a136 (forall ((Pa tptp.fun_fun_a_bool_bool) (Q_3 tptp.fun_fun_a_bool_bool)) (= (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj Pa) Q_3)))) (and (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool Pa))) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool Q_3)))))))
% 6.62/6.89 (assume a137 (forall ((Pa tptp.fun_pname_bool) (Q_3 tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj Pa) Q_3)))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname Pa))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname Q_3)))))))
% 6.62/6.89 (assume a138 (forall ((Pa tptp.fun_nat_bool) (Q_3 tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj Pa) Q_3)))) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat Pa))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat Q_3)))))))
% 6.62/6.89 (assume a139 (forall ((Pa tptp.fun_int_bool) (Q_3 tptp.fun_int_bool)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fdisj Pa) Q_3)))) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int Pa))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int Q_3)))))))
% 6.62/6.89 (assume a140 (forall ((A_2 tptp.fun_int_bool) (A tptp.fun_fu819804446l_bool)) (= (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool (tptp.hAPP_f1948010709l_bool (tptp.hAPP_f587666462l_bool tptp.insert_fun_int_bool A_2) A))) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool A)))))
% 6.62/6.89 (assume a141 (forall ((A_2 tptp.fun_nat_bool) (A tptp.fun_fu425979586l_bool)) (= (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.hAPP_f1246832597l_bool (tptp.hAPP_f633452666l_bool tptp.insert_fun_nat_bool A_2) A))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A)))))
% 6.62/6.89 (assume a142 (forall ((A_2 tptp.fun_pname_bool) (A tptp.fun_fu1430349052l_bool)) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.hAPP_f559147733l_bool (tptp.hAPP_f1320879424l_bool tptp.insert1325755072e_bool A_2) A))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)))))
% 6.62/6.89 (assume a143 (forall ((A_2 tptp.fun_a_bool) (A tptp.fun_fun_a_bool_bool)) (= (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.hAPP_f2117159681l_bool (tptp.hAPP_f1531278575l_bool tptp.insert_fun_a_bool A_2) A))) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A)))))
% 6.62/6.89 (assume a144 (forall ((A_2 tptp.pname) (A tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_2) A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)))))
% 6.62/6.89 (assume a145 (forall ((A_2 tptp.nat) (A tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) A))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)))))
% 6.62/6.89 (assume a146 (forall ((A_2 tptp.int) (A tptp.fun_int_bool)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) A))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)))))
% 6.62/6.89 (assume a147 (forall ((A_2 tptp.x_a) (A tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)))))
% 6.62/6.89 (assume a148 (forall ((A tptp.fun_fu819804446l_bool) (B tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool tptp.ord_le1848167016l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool B)) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool A))))))
% 6.62/6.89 (assume a149 (forall ((A tptp.fun_fu425979586l_bool) (B tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A))))))
% 6.62/6.89 (assume a150 (forall ((A tptp.fun_fu1430349052l_bool) (B tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A))))))
% 6.62/6.89 (assume a151 (forall ((A tptp.fun_fun_a_bool_bool) (B tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A))))))
% 6.62/6.89 (assume a152 (forall ((A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A))))))
% 6.62/6.89 (assume a153 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A))))))
% 6.62/6.89 (assume a154 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A))))))
% 6.62/6.89 (assume a155 (forall ((A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A))))))
% 6.62/6.89 (assume a156 (forall ((A tptp.fun_fu819804446l_bool) (B tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool tptp.ord_le1848167016l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool A))))))
% 6.62/6.89 (assume a157 (forall ((A tptp.fun_fu425979586l_bool) (B tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A))))))
% 6.62/6.89 (assume a158 (forall ((A tptp.fun_fu1430349052l_bool) (B tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A))))))
% 6.62/6.89 (assume a159 (forall ((A tptp.fun_fun_a_bool_bool) (B tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool A) B)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A))))))
% 6.62/6.89 (assume a160 (forall ((A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A))))))
% 6.62/6.89 (assume a161 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A))))))
% 6.62/6.89 (assume a162 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A))))))
% 6.62/6.89 (assume a163 (forall ((A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A))))))
% 6.62/6.89 (assume a164 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_1)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N)))))
% 6.62/6.89 (assume a165 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) (tptp.hAPP_nat_nat tptp.suc N))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N))) (= M_1 (tptp.hAPP_nat_nat tptp.suc N))))))
% 6.62/6.89 (assume a166 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) (tptp.hAPP_nat_nat tptp.suc N))))))
% 6.62/6.89 (assume a167 (forall ((Na tptp.nat) (M tptp.nat)) (= (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))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) M)))))
% 6.62/6.89 (assume a168 (forall ((M tptp.nat) (Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) (tptp.hAPP_nat_nat tptp.suc Na))) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na)) (= M (tptp.hAPP_nat_nat tptp.suc Na))))))
% 6.62/6.89 (assume a169 (forall ((M tptp.nat) (Na tptp.nat)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Na)) M)))))
% 6.62/6.89 (assume a170 (forall ((N tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc N)) N)))))
% 6.62/6.89 (assume a171 (forall ((M_1 tptp.nat) (N tptp.nat) (K_1 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc M_1)) N)) (tptp.hAPP_nat_nat tptp.suc K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) N)) K_1))))
% 6.62/6.89 (assume a172 (forall ((M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc M_1)) (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) N))))
% 6.62/6.89 (assume a173 (forall ((Na tptp.nat) (K tptp.nat) (M tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) Na)) (= (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.minus_minus_nat M) K)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) K))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na)))))))
% 6.62/6.89 (assume a174 (forall ((N tptp.nat) (K_1 tptp.nat) (M_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) M_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) N)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) N))))))
% 6.62/6.89 (assume a175 (forall ((Na tptp.nat) (K tptp.nat) (M tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) Na)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) K) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) K)) (= M Na))))))
% 6.62/6.89 (assume a176 (forall ((I_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) N)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) I_1)) I_1))))
% 6.62/6.89 (assume a177 (forall ((L_1 tptp.nat) (M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) 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.minus_minus_nat M_1) L_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) L_1))))))
% 6.62/6.89 (assume a178 (forall ((L_1 tptp.nat) (M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) 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.minus_minus_nat L_1) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat L_1) M_1))))))
% 6.62/6.89 (assume a179 (forall ((M_1 tptp.nat) (N tptp.nat)) (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.minus_minus_nat M_1) N)) M_1))))
% 6.62/6.89 (assume a180 (forall ((B tptp.fun_a_bool) (F tptp.fun_a_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_a_a F A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B))))))
% 6.62/6.89 (assume a181 (forall ((B tptp.fun_a_bool) (F tptp.fun_fun_int_bool_a) (A tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_fun_int_bool_a F A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B))))))
% 6.62/6.89 (assume a182 (forall ((B tptp.fun_a_bool) (F tptp.fun_fun_nat_bool_a) (A tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_fun_nat_bool_a F A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B))))))
% 6.62/6.89 (assume a183 (forall ((B tptp.fun_a_bool) (F tptp.fun_fun_pname_bool_a) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_876012084bool_a F A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B))))))
% 6.62/6.89 (assume a184 (forall ((B tptp.fun_a_bool) (F tptp.fun_fun_a_bool_a) (A tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_fun_a_bool_a F A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B))))))
% 6.62/6.89 (assume a185 (forall ((B tptp.fun_fu819804446l_bool) (F tptp.fun_pn665169337t_bool) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool tptp.ord_le1848167016l_bool B) (tptp.image_1512837979t_bool F A))) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool B))))))
% 6.62/6.89 (assume a186 (forall ((B tptp.fun_fu425979586l_bool) (F tptp.fun_pn406123357t_bool) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool B) (tptp.image_2129980159t_bool F A))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B))))))
% 6.62/6.89 (assume a187 (forall ((B tptp.fun_fu1430349052l_bool) (F tptp.fun_pn800050071e_bool) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) (tptp.image_47868345e_bool F A))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B))))))
% 6.62/6.89 (assume a188 (forall ((B tptp.fun_fun_a_bool_bool) (F tptp.fun_pname_fun_a_bool) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool B) (tptp.image_112932426a_bool F A))) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B))))))
% 6.62/6.89 (assume a189 (forall ((B tptp.fun_pname_bool) (F tptp.fun_pname_pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_pname_pname F A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 6.62/6.89 (assume a190 (forall ((B tptp.fun_a_bool) (F tptp.fun_nat_a) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_nat_a F A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B))))))
% 6.62/6.89 (assume a191 (forall ((B tptp.fun_fu819804446l_bool) (F tptp.fun_nat_fun_int_bool) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool tptp.ord_le1848167016l_bool B) (tptp.image_1556378401t_bool F A))) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool B))))))
% 6.62/6.89 (assume a192 (forall ((B tptp.fun_fu425979586l_bool) (F tptp.fun_nat_fun_nat_bool) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool B) (tptp.image_26036933t_bool F A))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B))))))
% 6.62/6.89 (assume a193 (forall ((B tptp.fun_fu1430349052l_bool) (F tptp.fun_na936072029e_bool) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) (tptp.image_1655916159e_bool F A))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B))))))
% 6.62/6.89 (assume a194 (forall ((B tptp.fun_fun_a_bool_bool) (F tptp.fun_nat_fun_a_bool) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool B) (tptp.image_nat_fun_a_bool F A))) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B))))))
% 6.62/6.89 (assume a195 (forall ((B tptp.fun_pname_bool) (F tptp.fun_nat_pname) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_nat_pname F A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 6.62/6.89 (assume a196 (forall ((B tptp.fun_a_bool) (F tptp.fun_int_a) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_int_a F A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B))))))
% 6.62/6.89 (assume a197 (forall ((B tptp.fun_fu819804446l_bool) (F tptp.fun_int_fun_int_bool) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool tptp.ord_le1848167016l_bool B) (tptp.image_275383677t_bool F A))) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool B))))))
% 6.62/6.89 (assume a198 (forall ((B tptp.fun_fu425979586l_bool) (F tptp.fun_int_fun_nat_bool) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool B) (tptp.image_892525857t_bool F A))) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B))))))
% 6.62/6.89 (assume a199 (forall ((B tptp.fun_fu1430349052l_bool) (F tptp.fun_in2065004473e_bool) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) (tptp.image_637364955e_bool F A))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B))))))
% 6.62/6.89 (assume a200 (forall ((B tptp.fun_fun_a_bool_bool) (F tptp.fun_int_fun_a_bool) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool B) (tptp.image_int_fun_a_bool F A))) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B))))))
% 6.62/6.89 (assume a201 (forall ((B tptp.fun_pname_bool) (F tptp.fun_int_pname) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_int_pname F A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 6.62/6.89 (assume a202 (forall ((B tptp.fun_pname_bool) (F tptp.fun_a_pname) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_a_pname F A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 6.62/6.89 (assume a203 (forall ((B tptp.fun_pname_bool) (F tptp.fun_fu953875929_pname) (A tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_62782965_pname F A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 6.62/6.89 (assume a204 (forall ((B tptp.fun_pname_bool) (F tptp.fun_fu665170229_pname) (A tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_1921560913_pname F A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 6.62/6.89 (assume a205 (forall ((B tptp.fun_pname_bool) (F tptp.fun_fu1499449723_pname) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_1283814551_pname F A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 6.62/6.89 (assume a206 (forall ((B tptp.fun_pname_bool) (F tptp.fun_fun_a_bool_pname) (A tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_1854862208_pname F A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B))))))
% 6.62/6.89 (assume a207 (forall ((B tptp.fun_nat_bool) (F tptp.fun_a_nat) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) (tptp.image_a_nat F A))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B))))))
% 6.62/6.89 (assume a208 (forall ((B tptp.fun_nat_bool) (F tptp.fun_fun_int_bool_nat) (A tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) (tptp.image_1431733819ol_nat F A))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B))))))
% 6.62/6.89 (assume a209 (forall ((B tptp.fun_nat_bool) (F tptp.fun_fun_nat_bool_nat) (A tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) (tptp.image_496248727ol_nat F A))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B))))))
% 6.62/6.89 (assume a210 (forall ((B tptp.fun_nat_bool) (F tptp.fun_fu1668467777ol_nat) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) (tptp.image_1551609309ol_nat F A))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B))))))
% 6.62/6.89 (assume a211 (forall ((B tptp.fun_nat_bool) (F tptp.fun_fun_a_bool_nat) (A tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) (tptp.image_fun_a_bool_nat F A))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B))))))
% 6.62/6.89 (assume a212 (forall ((B tptp.fun_int_bool) (F tptp.fun_a_int) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) (tptp.image_a_int F A))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B))))))
% 6.62/6.89 (assume a213 (forall ((B tptp.fun_int_bool) (F tptp.fun_fun_int_bool_int) (A tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) (tptp.image_2069007511ol_int F A))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B))))))
% 6.62/6.89 (assume a214 (forall ((B tptp.fun_int_bool) (F tptp.fun_fun_nat_bool_int) (A tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) (tptp.image_1133522419ol_int F A))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B))))))
% 6.62/6.89 (assume a215 (forall ((B tptp.fun_int_bool) (F tptp.fun_fu1830380701ol_int) (A tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) (tptp.image_41399353ol_int F A))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B))))))
% 6.62/6.89 (assume a216 (forall ((B tptp.fun_int_bool) (F tptp.fun_fun_a_bool_int) (A tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) (tptp.image_fun_a_bool_int F A))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B))))))
% 6.62/6.89 (assume a217 (forall ((B tptp.fun_a_bool) (F tptp.fun_pname_a) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_pname_a F A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B))))))
% 6.62/6.89 (assume a218 (forall ((B tptp.fun_int_bool) (F tptp.fun_nat_int) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) (tptp.image_nat_int F A))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B))))))
% 6.62/6.89 (assume a219 (forall ((F tptp.fun_fun_int_bool_a) (A tptp.fun_fu819804446l_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_fun_int_bool_a F A))) (exists ((C_16 tptp.fun_fu819804446l_bool)) (and (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool tptp.ord_le1848167016l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool C_16)) (= B (tptp.image_fun_int_bool_a F C_16))))))))
% 6.62/6.89 (assume a220 (forall ((F tptp.fun_fun_nat_bool_a) (A tptp.fun_fu425979586l_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_fun_nat_bool_a F A))) (exists ((C_16 tptp.fun_fu425979586l_bool)) (and (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool C_16)) (= B (tptp.image_fun_nat_bool_a F C_16))))))))
% 6.62/6.89 (assume a221 (forall ((F tptp.fun_fun_pname_bool_a) (A tptp.fun_fu1430349052l_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_876012084bool_a F A))) (exists ((C_16 tptp.fun_fu1430349052l_bool)) (and (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool C_16)) (= B (tptp.image_876012084bool_a F C_16))))))))
% 6.62/6.89 (assume a222 (forall ((F tptp.fun_fun_a_bool_a) (A tptp.fun_fun_a_bool_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_fun_a_bool_a F A))) (exists ((C_16 tptp.fun_fun_a_bool_bool)) (and (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool C_16)) (= B (tptp.image_fun_a_bool_a F C_16))))))))
% 6.62/6.89 (assume a223 (forall ((F tptp.fun_a_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_a_a F A))) (exists ((C_16 tptp.fun_a_bool)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a C_16)) (= B (tptp.image_a_a F C_16))))))))
% 6.62/6.89 (assume a224 (forall ((F tptp.fun_a_fun_int_bool) (A tptp.fun_a_bool) (B tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool tptp.ord_le1848167016l_bool B) (tptp.image_a_fun_int_bool F A))) (exists ((C_16 tptp.fun_a_bool)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a C_16)) (= B (tptp.image_a_fun_int_bool F C_16))))))))
% 6.62/6.89 (assume a225 (forall ((F tptp.fun_a_fun_nat_bool) (A tptp.fun_a_bool) (B tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool B) (tptp.image_a_fun_nat_bool F A))) (exists ((C_16 tptp.fun_a_bool)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a C_16)) (= B (tptp.image_a_fun_nat_bool F C_16))))))))
% 6.62/6.89 (assume a226 (forall ((F tptp.fun_a_fun_pname_bool) (A tptp.fun_a_bool) (B tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) (tptp.image_819518260e_bool F A))) (exists ((C_16 tptp.fun_a_bool)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a C_16)) (= B (tptp.image_819518260e_bool F C_16))))))))
% 6.62/6.89 (assume a227 (forall ((F tptp.fun_a_fun_a_bool) (A tptp.fun_a_bool) (B tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool B) (tptp.image_a_fun_a_bool F A))) (exists ((C_16 tptp.fun_a_bool)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a C_16)) (= B (tptp.image_a_fun_a_bool F C_16))))))))
% 6.62/6.89 (assume a228 (forall ((F tptp.fun_a_pname) (A tptp.fun_a_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_a_pname F A))) (exists ((C_16 tptp.fun_a_bool)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a C_16)) (= B (tptp.image_a_pname F C_16))))))))
% 6.62/6.89 (assume a229 (forall ((F tptp.fun_fu953875929_pname) (A tptp.fun_fu819804446l_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_62782965_pname F A))) (exists ((C_16 tptp.fun_fu819804446l_bool)) (and (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool tptp.ord_le1848167016l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool C_16)) (= B (tptp.image_62782965_pname F C_16))))))))
% 6.62/6.89 (assume a230 (forall ((F tptp.fun_fu665170229_pname) (A tptp.fun_fu425979586l_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_1921560913_pname F A))) (exists ((C_16 tptp.fun_fu425979586l_bool)) (and (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool C_16)) (= B (tptp.image_1921560913_pname F C_16))))))))
% 6.62/6.89 (assume a231 (forall ((F tptp.fun_fu1499449723_pname) (A tptp.fun_fu1430349052l_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_1283814551_pname F A))) (exists ((C_16 tptp.fun_fu1430349052l_bool)) (and (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool C_16)) (= B (tptp.image_1283814551_pname F C_16))))))))
% 6.62/6.89 (assume a232 (forall ((F tptp.fun_fun_a_bool_pname) (A tptp.fun_fun_a_bool_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_1854862208_pname F A))) (exists ((C_16 tptp.fun_fun_a_bool_bool)) (and (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool C_16)) (= B (tptp.image_1854862208_pname F C_16))))))))
% 6.62/6.89 (assume a233 (forall ((F tptp.fun_a_nat) (A tptp.fun_a_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) (tptp.image_a_nat F A))) (exists ((C_16 tptp.fun_a_bool)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a C_16)) (= B (tptp.image_a_nat F C_16))))))))
% 6.62/6.89 (assume a234 (forall ((F tptp.fun_fun_int_bool_nat) (A tptp.fun_fu819804446l_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) (tptp.image_1431733819ol_nat F A))) (exists ((C_16 tptp.fun_fu819804446l_bool)) (and (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool tptp.ord_le1848167016l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool C_16)) (= B (tptp.image_1431733819ol_nat F C_16))))))))
% 6.62/6.89 (assume a235 (forall ((F tptp.fun_fun_nat_bool_nat) (A tptp.fun_fu425979586l_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) (tptp.image_496248727ol_nat F A))) (exists ((C_16 tptp.fun_fu425979586l_bool)) (and (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool C_16)) (= B (tptp.image_496248727ol_nat F C_16))))))))
% 6.62/6.89 (assume a236 (forall ((F tptp.fun_fu1668467777ol_nat) (A tptp.fun_fu1430349052l_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) (tptp.image_1551609309ol_nat F A))) (exists ((C_16 tptp.fun_fu1430349052l_bool)) (and (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool C_16)) (= B (tptp.image_1551609309ol_nat F C_16))))))))
% 6.62/6.89 (assume a237 (forall ((F tptp.fun_fun_a_bool_nat) (A tptp.fun_fun_a_bool_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) (tptp.image_fun_a_bool_nat F A))) (exists ((C_16 tptp.fun_fun_a_bool_bool)) (and (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool C_16)) (= B (tptp.image_fun_a_bool_nat F C_16))))))))
% 6.62/6.89 (assume a238 (forall ((F tptp.fun_pname_nat) (A tptp.fun_pname_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) (tptp.image_pname_nat F A))) (exists ((C_16 tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_16)) (= B (tptp.image_pname_nat F C_16))))))))
% 6.62/6.89 (assume a239 (forall ((F tptp.fun_a_int) (A tptp.fun_a_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) (tptp.image_a_int F A))) (exists ((C_16 tptp.fun_a_bool)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a C_16)) (= B (tptp.image_a_int F C_16))))))))
% 6.62/6.89 (assume a240 (forall ((F tptp.fun_fun_int_bool_int) (A tptp.fun_fu819804446l_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) (tptp.image_2069007511ol_int F A))) (exists ((C_16 tptp.fun_fu819804446l_bool)) (and (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool tptp.ord_le1848167016l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool C_16)) (= B (tptp.image_2069007511ol_int F C_16))))))))
% 6.62/6.89 (assume a241 (forall ((F tptp.fun_fun_nat_bool_int) (A tptp.fun_fu425979586l_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) (tptp.image_1133522419ol_int F A))) (exists ((C_16 tptp.fun_fu425979586l_bool)) (and (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool C_16)) (= B (tptp.image_1133522419ol_int F C_16))))))))
% 6.62/6.89 (assume a242 (forall ((F tptp.fun_fu1830380701ol_int) (A tptp.fun_fu1430349052l_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) (tptp.image_41399353ol_int F A))) (exists ((C_16 tptp.fun_fu1430349052l_bool)) (and (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool C_16)) (= B (tptp.image_41399353ol_int F C_16))))))))
% 6.62/6.89 (assume a243 (forall ((F tptp.fun_fun_a_bool_int) (A tptp.fun_fun_a_bool_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) (tptp.image_fun_a_bool_int F A))) (exists ((C_16 tptp.fun_fun_a_bool_bool)) (and (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool C_16)) (= B (tptp.image_fun_a_bool_int F C_16))))))))
% 6.62/6.89 (assume a244 (forall ((F tptp.fun_pname_int) (A tptp.fun_pname_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) (tptp.image_pname_int F A))) (exists ((C_16 tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_16)) (= B (tptp.image_pname_int F C_16))))))))
% 6.62/6.89 (assume a245 (forall ((F tptp.fun_pn665169337t_bool) (A tptp.fun_pname_bool) (B tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool tptp.ord_le1848167016l_bool B) (tptp.image_1512837979t_bool F A))) (exists ((C_16 tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_16)) (= B (tptp.image_1512837979t_bool F C_16))))))))
% 6.62/6.89 (assume a246 (forall ((F tptp.fun_pn406123357t_bool) (A tptp.fun_pname_bool) (B tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool B) (tptp.image_2129980159t_bool F A))) (exists ((C_16 tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_16)) (= B (tptp.image_2129980159t_bool F C_16))))))))
% 6.62/6.89 (assume a247 (forall ((F tptp.fun_pn800050071e_bool) (A tptp.fun_pname_bool) (B tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) (tptp.image_47868345e_bool F A))) (exists ((C_16 tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_16)) (= B (tptp.image_47868345e_bool F C_16))))))))
% 6.62/6.89 (assume a248 (forall ((F tptp.fun_pname_fun_a_bool) (A tptp.fun_pname_bool) (B tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool B) (tptp.image_112932426a_bool F A))) (exists ((C_16 tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_16)) (= B (tptp.image_112932426a_bool F C_16))))))))
% 6.62/6.89 (assume a249 (forall ((F tptp.fun_pname_pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_pname_pname F A))) (exists ((C_16 tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_16)) (= B (tptp.image_pname_pname F C_16))))))))
% 6.62/6.89 (assume a250 (forall ((F tptp.fun_nat_a) (A tptp.fun_nat_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_nat_a F A))) (exists ((C_16 tptp.fun_nat_bool)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat C_16)) (= B (tptp.image_nat_a F C_16))))))))
% 6.62/6.89 (assume a251 (forall ((F tptp.fun_nat_fun_int_bool) (A tptp.fun_nat_bool) (B tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool tptp.ord_le1848167016l_bool B) (tptp.image_1556378401t_bool F A))) (exists ((C_16 tptp.fun_nat_bool)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat C_16)) (= B (tptp.image_1556378401t_bool F C_16))))))))
% 6.62/6.89 (assume a252 (forall ((F tptp.fun_nat_fun_nat_bool) (A tptp.fun_nat_bool) (B tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool B) (tptp.image_26036933t_bool F A))) (exists ((C_16 tptp.fun_nat_bool)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat C_16)) (= B (tptp.image_26036933t_bool F C_16))))))))
% 6.62/6.89 (assume a253 (forall ((F tptp.fun_na936072029e_bool) (A tptp.fun_nat_bool) (B tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) (tptp.image_1655916159e_bool F A))) (exists ((C_16 tptp.fun_nat_bool)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat C_16)) (= B (tptp.image_1655916159e_bool F C_16))))))))
% 6.62/6.89 (assume a254 (forall ((F tptp.fun_nat_fun_a_bool) (A tptp.fun_nat_bool) (B tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool B) (tptp.image_nat_fun_a_bool F A))) (exists ((C_16 tptp.fun_nat_bool)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat C_16)) (= B (tptp.image_nat_fun_a_bool F C_16))))))))
% 6.62/6.89 (assume a255 (forall ((F tptp.fun_nat_pname) (A tptp.fun_nat_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_nat_pname F A))) (exists ((C_16 tptp.fun_nat_bool)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat C_16)) (= B (tptp.image_nat_pname F C_16))))))))
% 6.62/6.89 (assume a256 (forall ((F tptp.fun_int_a) (A tptp.fun_int_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_int_a F A))) (exists ((C_16 tptp.fun_int_bool)) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int C_16)) (= B (tptp.image_int_a F C_16))))))))
% 6.62/6.89 (assume a257 (forall ((F tptp.fun_int_fun_int_bool) (A tptp.fun_int_bool) (B tptp.fun_fu819804446l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool tptp.ord_le1848167016l_bool B) (tptp.image_275383677t_bool F A))) (exists ((C_16 tptp.fun_int_bool)) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int C_16)) (= B (tptp.image_275383677t_bool F C_16))))))))
% 6.62/6.89 (assume a258 (forall ((F tptp.fun_int_fun_nat_bool) (A tptp.fun_int_bool) (B tptp.fun_fu425979586l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool B) (tptp.image_892525857t_bool F A))) (exists ((C_16 tptp.fun_int_bool)) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int C_16)) (= B (tptp.image_892525857t_bool F C_16))))))))
% 6.62/6.89 (assume a259 (forall ((F tptp.fun_in2065004473e_bool) (A tptp.fun_int_bool) (B tptp.fun_fu1430349052l_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool B) (tptp.image_637364955e_bool F A))) (exists ((C_16 tptp.fun_int_bool)) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int C_16)) (= B (tptp.image_637364955e_bool F C_16))))))))
% 6.62/6.89 (assume a260 (forall ((F tptp.fun_int_fun_a_bool) (A tptp.fun_int_bool) (B tptp.fun_fun_a_bool_bool)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool B)) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool B) (tptp.image_int_fun_a_bool F A))) (exists ((C_16 tptp.fun_int_bool)) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int C_16)) (= B (tptp.image_int_fun_a_bool F C_16))))))))
% 6.62/6.89 (assume a261 (forall ((F tptp.fun_int_pname) (A tptp.fun_int_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) (tptp.image_int_pname F A))) (exists ((C_16 tptp.fun_int_bool)) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int C_16)) (= B (tptp.image_int_pname F C_16))))))))
% 6.62/6.89 (assume a262 (forall ((F tptp.fun_pname_a) (A tptp.fun_pname_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_pname_a F A))) (exists ((C_16 tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname C_16)) (= B (tptp.image_pname_a F C_16))))))))
% 6.62/6.89 (assume a263 (forall ((F tptp.fun_nat_int) (A tptp.fun_nat_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) (tptp.image_nat_int F A))) (exists ((C_16 tptp.fun_nat_bool)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_16) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat C_16)) (= B (tptp.image_nat_int F C_16))))))))
% 6.62/6.89 (assume a264 (forall ((Na tptp.nat) (N_3 tptp.nat) (F tptp.fun_na936072029e_bool)) (=> (forall ((N_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_n1025906991e_bool F N_1)) (tptp.hAPP_n1025906991e_bool F (tptp.hAPP_nat_nat tptp.suc N_1))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) N_3)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_n1025906991e_bool F Na)) (tptp.hAPP_n1025906991e_bool F N_3)))))))
% 6.62/6.89 (assume a265 (forall ((Na tptp.nat) (N_3 tptp.nat) (F tptp.fun_nat_bool)) (=> (forall ((N_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F N_1)) (tptp.hAPP_nat_bool F (tptp.hAPP_nat_nat tptp.suc N_1))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) N_3)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F Na)) (tptp.hAPP_nat_bool F N_3)))))))
% 6.62/6.89 (assume a266 (forall ((Na tptp.nat) (N_3 tptp.nat) (F tptp.fun_nat_fun_a_bool)) (=> (forall ((N_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_nat_fun_a_bool F N_1)) (tptp.hAPP_nat_fun_a_bool F (tptp.hAPP_nat_nat tptp.suc N_1))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) N_3)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_nat_fun_a_bool F Na)) (tptp.hAPP_nat_fun_a_bool F N_3)))))))
% 6.62/6.89 (assume a267 (forall ((Na tptp.nat) (N_3 tptp.nat) (F tptp.fun_nat_nat)) (=> (forall ((N_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat F N_1)) (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat tptp.suc N_1))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) N_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat F Na)) (tptp.hAPP_nat_nat F N_3)))))))
% 6.62/6.89 (assume a268 (forall ((Na tptp.nat) (N_3 tptp.nat) (F tptp.fun_nat_int)) (=> (forall ((N_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int F N_1)) (tptp.hAPP_nat_int F (tptp.hAPP_nat_nat tptp.suc N_1))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) N_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int F Na)) (tptp.hAPP_nat_int F N_3)))))))
% 6.62/6.89 (assume a269 (forall ((Na tptp.nat) (N_3 tptp.nat) (F tptp.fun_nat_fun_nat_bool)) (=> (forall ((N_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool F N_1)) (tptp.hAPP_n1699378549t_bool F (tptp.hAPP_nat_nat tptp.suc N_1))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) N_3)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool F Na)) (tptp.hAPP_n1699378549t_bool F N_3)))))))
% 6.62/6.89 (assume a270 (forall ((Na tptp.nat) (N_3 tptp.nat) (F tptp.fun_nat_fun_int_bool)) (=> (forall ((N_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool (tptp.hAPP_n1082236369t_bool F N_1)) (tptp.hAPP_n1082236369t_bool F (tptp.hAPP_nat_nat tptp.suc N_1))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) N_3)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool (tptp.hAPP_n1082236369t_bool F Na)) (tptp.hAPP_n1082236369t_bool F N_3)))))))
% 6.62/6.89 (assume a271 (forall ((F tptp.fun_nat_fun_int_bool) (A tptp.fun_nat_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A))) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool (tptp.image_1556378401t_bool F A))) (exists ((X_2 tptp.nat)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) A)) (tptp.hAPP_f274826591t_bool (tptp.cOMBC_620423604l_bool (tptp.cOMBB_1123824708ol_nat tptp.fequal_fun_int_bool F)) (tptp.hAPP_n1082236369t_bool F X_2)))))))))))))
% 6.62/6.89 (assume a272 (forall ((F tptp.fun_nat_fun_nat_bool) (A tptp.fun_nat_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A))) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_26036933t_bool F A))) (exists ((X_2 tptp.nat)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) A)) (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool (tptp.cOMBB_2026977092ol_nat tptp.fequal_fun_nat_bool F)) (tptp.hAPP_n1699378549t_bool F X_2)))))))))))))
% 6.62/6.89 (assume a273 (forall ((F tptp.fun_na936072029e_bool) (A tptp.fun_nat_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_1655916159e_bool F A))) (exists ((X_2 tptp.nat)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) A)) (tptp.hAPP_f1066163005t_bool (tptp.cOMBC_386238098l_bool (tptp.cOMBB_2117322052ol_nat tptp.fequal533582459e_bool F)) (tptp.hAPP_n1025906991e_bool F X_2)))))))))))))
% 6.62/6.89 (assume a274 (forall ((F tptp.fun_nat_fun_a_bool) (A tptp.fun_nat_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A))) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_nat_fun_a_bool F A))) (exists ((X_2 tptp.nat)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) A)) (tptp.hAPP_f282463732t_bool (tptp.cOMBC_1928494297l_bool (tptp.cOMBB_1823939024ol_nat tptp.fequal_fun_a_bool F)) (tptp.hAPP_nat_fun_a_bool F X_2)))))))))))))
% 6.62/6.89 (assume a275 (forall ((F tptp.fun_int_a) (A tptp.fun_int_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A))) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_int_a F A))) (exists ((X_2 tptp.int)) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fconj (tptp.hAPP_f1805168059t_bool (tptp.cOMBC_94739984l_bool tptp.member_int) A)) (tptp.hAPP_a_fun_int_bool (tptp.cOMBC_int_a_bool (tptp.cOMBB_375279840ol_int tptp.fequal_a F)) (tptp.hAPP_int_a F X_2)))))))))))))
% 6.62/6.89 (assume a276 (forall ((F tptp.fun_int_fun_int_bool) (A tptp.fun_int_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A))) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool (tptp.image_275383677t_bool F A))) (exists ((X_2 tptp.int)) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fconj (tptp.hAPP_f1805168059t_bool (tptp.cOMBC_94739984l_bool tptp.member_int) A)) (tptp.hAPP_f1805168059t_bool (tptp.cOMBC_94739984l_bool (tptp.cOMBB_1761098400ol_int tptp.fequal_fun_int_bool F)) (tptp.hAPP_i1948725293t_bool F X_2)))))))))))))
% 6.62/6.89 (assume a277 (forall ((F tptp.fun_int_fun_nat_bool) (A tptp.fun_int_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A))) (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_892525857t_bool F A))) (exists ((X_2 tptp.int)) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fconj (tptp.hAPP_f1805168059t_bool (tptp.cOMBC_94739984l_bool tptp.member_int) A)) (tptp.hAPP_f183368031t_bool (tptp.cOMBC_1848398772l_bool (tptp.cOMBB_516767136ol_int tptp.fequal_fun_nat_bool F)) (tptp.hAPP_i418383825t_bool F X_2)))))))))))))
% 6.62/6.89 (assume a278 (forall ((F tptp.fun_in2065004473e_bool) (A tptp.fun_int_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_637364955e_bool F A))) (exists ((X_2 tptp.int)) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fconj (tptp.hAPP_f1805168059t_bool (tptp.cOMBC_94739984l_bool tptp.member_int) A)) (tptp.hAPP_f449020825t_bool (tptp.cOMBC_316919022l_bool (tptp.cOMBB_607112096ol_int tptp.fequal533582459e_bool F)) (tptp.hAPP_i7355787e_bool F X_2)))))))))))))
% 6.62/6.89 (assume a279 (forall ((F tptp.fun_int_fun_a_bool) (A tptp.fun_int_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A))) (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_int_fun_a_bool F A))) (exists ((X_2 tptp.int)) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fconj (tptp.hAPP_f1805168059t_bool (tptp.cOMBC_94739984l_bool tptp.member_int) A)) (tptp.hAPP_f1812805200t_bool (tptp.cOMBC_1753430397l_bool (tptp.cOMBB_313729068ol_int tptp.fequal_fun_a_bool F)) (tptp.hAPP_int_fun_a_bool F X_2)))))))))))))
% 6.62/6.89 (assume a280 (forall ((F tptp.fun_pname_a) (A tptp.fun_pname_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A))) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_pname_a F A))) (exists ((X_2 tptp.pname)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool tptp.member_pname) A)) (tptp.hAPP_a93125764e_bool (tptp.cOMBC_pname_a_bool (tptp.cOMBB_1897541054_pname tptp.fequal_a F)) (tptp.hAPP_pname_a F X_2)))))))))))))
% 6.62/6.89 (assume a281 (forall ((F tptp.fun_nat_int) (A tptp.fun_nat_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.image_nat_int F A))) (exists ((X_2 tptp.nat)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) A)) (tptp.hAPP_i418383825t_bool (tptp.cOMBC_nat_int_bool (tptp.cOMBB_1628441366ol_nat tptp.fequal_int F)) (tptp.hAPP_nat_int F X_2)))))))))))))
% 6.62/6.89 (assume a282 (forall ((A tptp.fun_nat_bool) (B_3 tptp.int) (F tptp.fun_nat_int) (X_1 tptp.nat)) (=> (= B_3 (tptp.hAPP_nat_int F X_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_3) (tptp.image_nat_int F A)))))))
% 6.62/6.89 (assume a283 (forall ((A tptp.fun_pname_bool) (B_3 tptp.x_a) (F tptp.fun_pname_a) (X_1 tptp.pname)) (=> (= B_3 (tptp.hAPP_pname_a F X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_3) (tptp.image_pname_a F A)))))))
% 6.62/6.89 (assume a284 (forall ((A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) A)) (= A B)))))
% 6.62/6.89 (assume a285 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (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)))))
% 6.62/6.89 (assume a286 (forall ((A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) A)) (= A B)))))
% 6.62/6.89 (assume a287 (forall ((C_6 tptp.int) (A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) B))))))
% 6.62/6.89 (assume a288 (forall ((C_6 tptp.nat) (A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (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 C_6) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_6) B))))))
% 6.62/6.89 (assume a289 (forall ((C_6 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) B))))))
% 6.62/6.89 (assume a290 (forall ((C_6 tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) B))))))
% 6.62/6.89 (assume a291 (forall ((B_3 tptp.x_a) (A_2 tptp.x_a) (B tptp.fun_a_bool)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) B))) (= A_2 B_3)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a B_3) B))))))
% 6.62/6.89 (assume a292 (forall ((B_3 tptp.int) (A_2 tptp.int) (B tptp.fun_int_bool)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_2) B))) (= A_2 B_3)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_2) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int B_3) B))))))
% 6.62/6.89 (assume a293 (forall ((B_3 tptp.nat) (A_2 tptp.nat) (B tptp.fun_nat_bool)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) B))) (= A_2 B_3)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat B_3) B))))))
% 6.62/6.89 (assume a294 (forall ((B_3 tptp.pname) (A_2 tptp.pname) (B tptp.fun_pname_bool)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) B))) (= A_2 B_3)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_3) B))))))
% 6.62/6.89 (assume a295 (forall ((A_2 tptp.x_a) (B_3 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a B_3) A))) (=> (not (= A_2 B_3)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) A))))))
% 6.62/6.89 (assume a296 (forall ((A_2 tptp.int) (B_3 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_2) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int B_3) A))) (=> (not (= A_2 B_3)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_2) A))))))
% 6.62/6.89 (assume a297 (forall ((A_2 tptp.nat) (B_3 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat B_3) A))) (=> (not (= A_2 B_3)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) A))))))
% 6.62/6.89 (assume a298 (forall ((A_2 tptp.pname) (B_3 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_3) A))) (=> (not (= A_2 B_3)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) A))))))
% 6.62/6.89 (assume a299 (forall ((I_2 tptp.nat) (Pa tptp.fun_nat_bool) (K tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa K)) (=> (forall ((N_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc N_1))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa N_1)))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat K) I_2)))))))
% 6.62/6.89 (assume a300 (forall ((N tptp.nat) (M_4 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc N)) M_4)) (exists ((M_2 tptp.nat)) (= M_4 (tptp.hAPP_nat_nat tptp.suc M_2))))))
% 6.62/6.89 (assume a301 (forall ((X_1 tptp.fun_int_bool)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool X_1) X_1))))
% 6.62/6.89 (assume a302 (forall ((X_1 tptp.fun_nat_bool)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) X_1))))
% 6.62/6.89 (assume a303 (forall ((X_11 tptp.int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_11) X_11))))
% 6.62/6.89 (assume a304 (forall ((X_11 tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_11) X_11))))
% 6.62/6.89 (assume a305 (forall ((X_1 tptp.fun_a_bool)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_1) X_1))))
% 6.62/6.89 (assume a306 (forall ((X_10 tptp.int) (Y_9 tptp.int)) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_10) Y_9)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_9) X_10)))))
% 6.62/6.89 (assume a307 (forall ((X_10 tptp.nat) (Y_9 tptp.nat)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_10) Y_9)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_9) X_10)))))
% 6.62/6.89 (assume a308 (forall ((X_1 tptp.fun_int_bool) (Y_1 tptp.fun_int_bool)) (= (= X_1 Y_1) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Y_1) X_1))))))
% 6.62/6.89 (assume a309 (forall ((X_1 tptp.fun_nat_bool) (Y_1 tptp.fun_nat_bool)) (= (= X_1 Y_1) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1))))))
% 6.62/6.89 (assume a310 (forall ((X_1 tptp.int) (Y_1 tptp.int)) (= (= X_1 Y_1) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_1) X_1))))))
% 6.62/6.89 (assume a311 (forall ((X_1 tptp.nat) (Y_1 tptp.nat)) (= (= X_1 Y_1) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1))))))
% 6.62/6.89 (assume a312 (forall ((X_1 tptp.fun_a_bool) (Y_1 tptp.fun_a_bool)) (= (= X_1 Y_1) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Y_1) X_1))))))
% 6.62/6.89 (assume a313 (forall ((X_1 tptp.fun_int_bool) (Y_1 tptp.fun_int_bool)) (=> (= X_1 Y_1) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool X_1) Y_1)))))
% 6.62/6.89 (assume a314 (forall ((X_1 tptp.fun_nat_bool) (Y_1 tptp.fun_nat_bool)) (=> (= X_1 Y_1) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)))))
% 6.62/6.89 (assume a315 (forall ((X_9 tptp.int) (Y_8 tptp.int)) (=> (= X_9 Y_8) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_9) Y_8)))))
% 6.62/6.89 (assume a316 (forall ((X_9 tptp.nat) (Y_8 tptp.nat)) (=> (= X_9 Y_8) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_9) Y_8)))))
% 6.62/6.89 (assume a317 (forall ((X_1 tptp.fun_a_bool) (Y_1 tptp.fun_a_bool)) (=> (= X_1 Y_1) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_1) Y_1)))))
% 6.62/6.89 (assume a318 (forall ((Y_1 tptp.fun_int_bool) (X_1 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Y_1) X_1)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool X_1) Y_1)) (= X_1 Y_1)))))
% 6.62/6.89 (assume a319 (forall ((Y_1 tptp.fun_nat_bool) (X_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (= X_1 Y_1)))))
% 6.62/6.89 (assume a320 (forall ((Y_1 tptp.int) (X_1 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_1) X_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_1) Y_1)) (= X_1 Y_1)))))
% 6.62/6.89 (assume a321 (forall ((Y_1 tptp.nat) (X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)) (= X_1 Y_1)))))
% 6.62/6.89 (assume a322 (forall ((Y_1 tptp.fun_a_bool) (X_1 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Y_1) X_1)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_1) Y_1)) (= X_1 Y_1)))))
% 6.62/6.89 (assume a323 (forall ((C_6 tptp.fun_int_bool) (A_2 tptp.fun_int_bool) (B_3 tptp.fun_int_bool)) (=> (= A_2 B_3) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B_3) C_6)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A_2) C_6))))))
% 6.62/6.89 (assume a324 (forall ((C_6 tptp.fun_nat_bool) (A_2 tptp.fun_nat_bool) (B_3 tptp.fun_nat_bool)) (=> (= A_2 B_3) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_3) C_6)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_2) C_6))))))
% 6.62/6.89 (assume a325 (forall ((C_15 tptp.int) (A_21 tptp.int) (B_19 tptp.int)) (=> (= A_21 B_19) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_19) C_15)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_21) C_15))))))
% 6.62/6.89 (assume a326 (forall ((C_15 tptp.nat) (A_21 tptp.nat) (B_19 tptp.nat)) (=> (= A_21 B_19) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_19) C_15)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_21) C_15))))))
% 6.62/6.89 (assume a327 (forall ((C_6 tptp.fun_a_bool) (A_2 tptp.fun_a_bool) (B_3 tptp.fun_a_bool)) (=> (= A_2 B_3) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_3) C_6)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_2) C_6))))))
% 6.62/6.89 (assume a328 (forall ((C_6 tptp.fun_int_bool) (A_2 tptp.fun_int_bool) (B_3 tptp.fun_int_bool)) (=> (= A_2 B_3) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool C_6) B_3)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool C_6) A_2))))))
% 6.62/6.89 (assume a329 (forall ((C_6 tptp.fun_nat_bool) (A_2 tptp.fun_nat_bool) (B_3 tptp.fun_nat_bool)) (=> (= A_2 B_3) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_6) B_3)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_6) A_2))))))
% 6.62/6.89 (assume a330 (forall ((C_14 tptp.int) (A_20 tptp.int) (B_18 tptp.int)) (=> (= A_20 B_18) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C_14) B_18)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C_14) A_20))))))
% 6.62/6.89 (assume a331 (forall ((C_14 tptp.nat) (A_20 tptp.nat) (B_18 tptp.nat)) (=> (= A_20 B_18) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_14) B_18)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_14) A_20))))))
% 6.62/6.89 (assume a332 (forall ((C_6 tptp.fun_a_bool) (A_2 tptp.fun_a_bool) (B_3 tptp.fun_a_bool)) (=> (= A_2 B_3) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_6) B_3)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_6) A_2))))))
% 6.62/6.89 (assume a333 (forall ((C_6 tptp.fun_int_bool) (A_2 tptp.fun_int_bool) (B_3 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A_2) B_3)) (=> (= B_3 C_6) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A_2) C_6))))))
% 6.62/6.89 (assume a334 (forall ((C_6 tptp.fun_nat_bool) (A_2 tptp.fun_nat_bool) (B_3 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_2) B_3)) (=> (= B_3 C_6) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_2) C_6))))))
% 6.62/6.89 (assume a335 (forall ((C_13 tptp.int) (A_19 tptp.int) (B_17 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_19) B_17)) (=> (= B_17 C_13) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_19) C_13))))))
% 6.62/6.89 (assume a336 (forall ((C_13 tptp.nat) (A_19 tptp.nat) (B_17 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_19) B_17)) (=> (= B_17 C_13) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_19) C_13))))))
% 6.62/6.89 (assume a337 (forall ((C_6 tptp.fun_a_bool) (A_2 tptp.fun_a_bool) (B_3 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_2) B_3)) (=> (= B_3 C_6) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_2) C_6))))))
% 6.62/6.89 (assume a338 (forall ((C_6 tptp.fun_int_bool) (B_3 tptp.fun_int_bool) (A_2 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B_3) A_2)) (=> (= B_3 C_6) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool C_6) A_2))))))
% 6.62/6.89 (assume a339 (forall ((C_6 tptp.fun_nat_bool) (B_3 tptp.fun_nat_bool) (A_2 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_3) A_2)) (=> (= B_3 C_6) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_6) A_2))))))
% 6.62/6.89 (assume a340 (forall ((C_12 tptp.int) (B_16 tptp.int) (A_18 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_16) A_18)) (=> (= B_16 C_12) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C_12) A_18))))))
% 6.62/6.89 (assume a341 (forall ((C_12 tptp.nat) (B_16 tptp.nat) (A_18 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_16) A_18)) (=> (= B_16 C_12) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_12) A_18))))))
% 6.62/6.89 (assume a342 (forall ((C_6 tptp.fun_a_bool) (B_3 tptp.fun_a_bool) (A_2 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B_3) A_2)) (=> (= B_3 C_6) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_6) A_2))))))
% 6.62/6.89 (assume a343 (forall ((X_1 tptp.fun_int_bool) (Y_1 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool X_1) Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Y_1) X_1)) (= X_1 Y_1)))))
% 6.62/6.89 (assume a344 (forall ((X_1 tptp.fun_nat_bool) (Y_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (= X_1 Y_1)))))
% 6.62/6.89 (assume a345 (forall ((X_8 tptp.int) (Y_7 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_8) Y_7)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_7) X_8)) (= X_8 Y_7)))))
% 6.62/6.89 (assume a346 (forall ((X_8 tptp.nat) (Y_7 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_8) Y_7)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_7) X_8)) (= X_8 Y_7)))))
% 6.62/6.89 (assume a347 (forall ((X_1 tptp.fun_a_bool) (Y_1 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_1) Y_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Y_1) X_1)) (= X_1 Y_1)))))
% 6.62/6.89 (assume a348 (forall ((Z_2 tptp.fun_int_bool) (X_1 tptp.fun_int_bool) (Y_1 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool X_1) Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Y_1) Z_2)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool X_1) Z_2))))))
% 6.62/6.89 (assume a349 (forall ((Z_2 tptp.fun_nat_bool) (X_1 tptp.fun_nat_bool) (Y_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) Z_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Z_2))))))
% 6.62/6.89 (assume a350 (forall ((Z_6 tptp.int) (X_7 tptp.int) (Y_6 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_7) Y_6)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_6) Z_6)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_7) Z_6))))))
% 6.62/6.89 (assume a351 (forall ((Z_6 tptp.nat) (X_7 tptp.nat) (Y_6 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_7) Y_6)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_6) Z_6)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_7) Z_6))))))
% 6.62/6.89 (assume a352 (forall ((Z_2 tptp.fun_a_bool) (X_1 tptp.fun_a_bool) (Y_1 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_1) Y_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Y_1) Z_2)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_1) Z_2))))))
% 6.62/6.89 (assume a353 (forall ((Y_1 tptp.fun_int_bool) (X_1 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Y_1) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool X_1) Y_1)) (= X_1 Y_1)))))
% 6.62/6.89 (assume a354 (forall ((Y_1 tptp.fun_nat_bool) (X_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool X_1) Y_1)) (= X_1 Y_1)))))
% 6.62/6.89 (assume a355 (forall ((Y_5 tptp.int) (X_6 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_5) X_6)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_6) Y_5)) (= X_6 Y_5)))))
% 6.62/6.89 (assume a356 (forall ((Y_5 tptp.nat) (X_6 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_5) X_6)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_6) Y_5)) (= X_6 Y_5)))))
% 6.62/6.89 (assume a357 (forall ((Y_1 tptp.fun_a_bool) (X_1 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Y_1) X_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool X_1) Y_1)) (= X_1 Y_1)))))
% 6.62/6.89 (assume a358 (forall ((Z_2 tptp.fun_int_bool) (Y_1 tptp.fun_int_bool) (X_1 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Y_1) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Z_2) Y_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Z_2) X_1))))))
% 6.62/6.89 (assume a359 (forall ((Z_2 tptp.fun_nat_bool) (Y_1 tptp.fun_nat_bool) (X_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Y_1) X_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Z_2) Y_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Z_2) X_1))))))
% 6.62/6.89 (assume a360 (forall ((Z_5 tptp.int) (Y_4 tptp.int) (X_5 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_4) X_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z_5) Y_4)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z_5) X_5))))))
% 6.62/6.89 (assume a361 (forall ((Z_5 tptp.nat) (Y_4 tptp.nat) (X_5 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_4) X_5)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Z_5) Y_4)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Z_5) X_5))))))
% 6.62/6.89 (assume a362 (forall ((Z_2 tptp.fun_a_bool) (Y_1 tptp.fun_a_bool) (X_1 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Y_1) X_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Z_2) Y_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool Z_2) X_1))))))
% 6.62/6.89 (assume a363 (forall ((X_4 tptp.int) (Y_3 tptp.int)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_4) Y_3))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_3) X_4)))))
% 6.62/6.89 (assume a364 (forall ((X_4 tptp.nat) (Y_3 tptp.nat)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_4) Y_3))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_3) X_4)))))
% 6.62/6.89 (assume a365 (forall ((A_2 tptp.x_a) (B tptp.fun_a_bool)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) B)))))
% 6.62/6.89 (assume a366 (forall ((A_2 tptp.int) (B tptp.fun_int_bool)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_2) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) B)))))
% 6.62/6.89 (assume a367 (forall ((A_2 tptp.nat) (B tptp.fun_nat_bool)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) B)))))
% 6.62/6.89 (assume a368 (forall ((A_2 tptp.pname) (B tptp.fun_pname_bool)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_2) B)))))
% 6.62/6.89 (assume a369 (forall ((A_2 tptp.x_a) (B tptp.fun_a_bool)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) B) (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fdisj (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool tptp.fequal_a) A_2)) (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool tptp.member_a) B))))))
% 6.62/6.89 (assume a370 (forall ((A_2 tptp.int) (B tptp.fun_int_bool)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) B) (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fdisj (tptp.hAPP_i1948725293t_bool (tptp.cOMBC_int_int_bool tptp.fequal_int) A_2)) (tptp.hAPP_f1805168059t_bool (tptp.cOMBC_94739984l_bool tptp.member_int) B))))))
% 6.62/6.89 (assume a371 (forall ((A_2 tptp.nat) (B tptp.fun_nat_bool)) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) B) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.fequal_nat) A_2)) (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) B))))))
% 6.62/6.89 (assume a372 (forall ((A_2 tptp.pname) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_2) B) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool tptp.fequal_pname) A_2)) (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool tptp.member_pname) B))))))
% 6.62/6.89 (assume a373 (forall ((A_2 tptp.x_a) (Pa tptp.fun_a_bool)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) (tptp.collect_a Pa)) (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fimplies (tptp.cOMBB_bool_bool_a tptp.fNot (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool tptp.fequal_a) A_2))) Pa)))))
% 6.62/6.89 (assume a374 (forall ((A_2 tptp.int) (Pa tptp.fun_int_bool)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) (tptp.collect_int Pa)) (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fimplies (tptp.cOMBB_bool_bool_int tptp.fNot (tptp.hAPP_i1948725293t_bool (tptp.cOMBC_int_int_bool tptp.fequal_int) A_2))) Pa)))))
% 6.62/6.89 (assume a375 (forall ((A_2 tptp.nat) (Pa tptp.fun_nat_bool)) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) (tptp.collect_nat Pa)) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fimplies (tptp.cOMBB_bool_bool_nat tptp.fNot (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.fequal_nat) A_2))) Pa)))))
% 6.62/6.89 (assume a376 (forall ((X_1 tptp.int) (A tptp.fun_int_bool)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A)) (tptp.hBOOL (tptp.hAPP_int_bool A X_1)))))
% 6.62/6.89 (assume a377 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (tptp.hBOOL (tptp.hAPP_nat_bool A X_1)))))
% 6.62/6.89 (assume a378 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A)) (tptp.hBOOL (tptp.hAPP_a_bool A X_1)))))
% 6.62/6.89 (assume a379 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_pname_bool A X_1)))))
% 6.62/6.89 (assume a380 (forall ((Pa tptp.fun_int_bool)) (= (tptp.collect_int Pa) Pa)))
% 6.62/6.89 (assume a381 (forall ((Pa tptp.fun_nat_bool)) (= (tptp.collect_nat Pa) Pa)))
% 6.62/6.89 (assume a382 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A))))
% 6.62/6.89 (assume a383 (forall ((X_1 tptp.x_a) (Y_1 tptp.x_a) (A tptp.fun_a_bool)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a Y_1) A)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a Y_1) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)))))
% 6.62/6.89 (assume a384 (forall ((A_2 tptp.x_a) (B_3 tptp.x_a) (A tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a B_3) A))) (or (= A_2 B_3) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) A))))))
% 6.62/6.89 (assume a385 (forall ((A_2 tptp.int) (B_3 tptp.int) (A tptp.fun_int_bool)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_2) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int B_3) A))) (or (= A_2 B_3) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_2) A))))))
% 6.62/6.89 (assume a386 (forall ((A_2 tptp.nat) (B_3 tptp.nat) (A tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat B_3) A))) (or (= A_2 B_3) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) A))))))
% 6.62/6.89 (assume a387 (forall ((A_2 tptp.pname) (B_3 tptp.pname) (A tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_3) A))) (or (= A_2 B_3) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) A))))))
% 6.62/6.89 (assume a388 (forall ((Y_1 tptp.x_a) (A tptp.fun_a_bool) (X_1 tptp.x_a)) (= (tptp.hBOOL (tptp.hAPP_a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a Y_1) A) X_1)) (or (= Y_1 X_1) (tptp.hBOOL (tptp.hAPP_a_bool A X_1))))))
% 6.62/6.89 (assume a389 (forall ((B tptp.fun_a_bool) (X_1 tptp.x_a) (A tptp.fun_a_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A))) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B))) (= (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) B)) (= A B))))))
% 6.62/6.89 (assume a390 (forall ((B tptp.fun_int_bool) (X_1 tptp.int) (A tptp.fun_int_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A))) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) B))) (= (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) B)) (= A B))))))
% 6.62/6.89 (assume a391 (forall ((B tptp.fun_nat_bool) (X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) B))) (= (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) B)) (= A B))))))
% 6.62/6.89 (assume a392 (forall ((B tptp.fun_pname_bool) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B))) (= (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) B)) (= A B))))))
% 6.62/6.89 (assume a393 (forall ((B_3 tptp.x_a) (A_2 tptp.x_a) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a B_3) B))))))
% 6.62/6.89 (assume a394 (forall ((B_3 tptp.int) (A_2 tptp.int) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_2) B)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_2) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int B_3) B))))))
% 6.62/6.89 (assume a395 (forall ((B_3 tptp.nat) (A_2 tptp.nat) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) B)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat B_3) B))))))
% 6.62/6.89 (assume a396 (forall ((B_3 tptp.pname) (A_2 tptp.pname) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname B_3) B))))))
% 6.62/6.89 (assume a397 (forall ((A_2 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) A)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) A) A))))
% 6.62/6.89 (assume a398 (forall ((A_2 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_2) A)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) A) A))))
% 6.62/6.89 (assume a399 (forall ((A_2 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) A)) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) A) A))))
% 6.62/6.89 (assume a400 (forall ((A_2 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) A)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_2) A) A))))
% 6.62/6.89 (assume a401 (forall ((A tptp.fun_int_bool)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) A))))
% 6.62/6.89 (assume a402 (forall ((A tptp.fun_nat_bool)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) A))))
% 6.62/6.89 (assume a403 (forall ((A tptp.fun_a_bool)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) A))))
% 6.62/6.89 (assume a404 (forall ((A tptp.fun_int_bool) (B tptp.fun_int_bool)) (= (= A B) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) A))))))
% 6.62/6.89 (assume a405 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (= (= 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))))))
% 6.62/6.89 (assume a406 (forall ((A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (= A B) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) A))))))
% 6.62/6.89 (assume a407 (forall ((A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)))))
% 6.62/6.89 (assume a408 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)))))
% 6.62/6.89 (assume a409 (forall ((A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)))))
% 6.62/6.89 (assume a410 (forall ((A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) A)))))
% 6.62/6.89 (assume a411 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) A)))))
% 6.62/6.89 (assume a412 (forall ((A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (= A B) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) A)))))
% 6.62/6.89 (assume a413 (forall ((X_1 tptp.int) (A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) B))))))
% 6.62/6.89 (assume a414 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (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_1) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) B))))))
% 6.62/6.89 (assume a415 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B))))))
% 6.62/6.89 (assume a416 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B))))))
% 6.62/6.89 (assume a417 (forall ((B tptp.fun_int_bool) (X_1 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) B))))))
% 6.62/6.89 (assume a418 (forall ((B tptp.fun_nat_bool) (X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) 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_1) B))))))
% 6.62/6.89 (assume a419 (forall ((B tptp.fun_a_bool) (X_1 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B))))))
% 6.62/6.89 (assume a420 (forall ((B tptp.fun_pname_bool) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B))))))
% 6.62/6.89 (assume a421 (forall ((X_1 tptp.int) (A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) B))))))
% 6.62/6.89 (assume a422 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (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_1) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) B))))))
% 6.62/6.89 (assume a423 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B))))))
% 6.62/6.89 (assume a424 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B))))))
% 6.62/6.89 (assume a425 (forall ((C_11 tptp.fun_int_bool) (A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) C_11)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) C_11))))))
% 6.62/6.89 (assume a426 (forall ((C_11 tptp.fun_nat_bool) (A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (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_11)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) C_11))))))
% 6.62/6.89 (assume a427 (forall ((C_11 tptp.fun_a_bool) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) C_11)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) C_11))))))
% 6.62/6.89 (assume a428 (forall ((A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (= A B) (not (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) A))))))))
% 6.62/6.89 (assume a429 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (= 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))))))))
% 6.62/6.89 (assume a430 (forall ((A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (= A B) (not (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) A))))))))
% 6.62/6.89 (assume a431 (forall ((Z_2 tptp.int) (F tptp.fun_nat_int) (A tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Z_2) (tptp.image_nat_int F A))) (exists ((X_2 tptp.nat)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (= Z_2 (tptp.hAPP_nat_int F X_2)))))))
% 6.62/6.89 (assume a432 (forall ((Z_2 tptp.x_a) (F tptp.fun_pname_a) (A tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a Z_2) (tptp.image_pname_a F A))) (exists ((X_2 tptp.pname)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (= Z_2 (tptp.hAPP_pname_a F X_2)))))))
% 6.62/6.89 (assume a433 (forall ((F tptp.fun_nat_int) (X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_nat_int F X_1)) (tptp.image_nat_int F A))))))
% 6.62/6.89 (assume a434 (forall ((F tptp.fun_pname_a) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))))))
% 6.62/6.89 (assume a435 (forall ((B_3 tptp.int) (F tptp.fun_nat_int) (X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (=> (= B_3 (tptp.hAPP_nat_int F X_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_3) (tptp.image_nat_int F A)))))))
% 6.62/6.89 (assume a436 (forall ((B_3 tptp.x_a) (F tptp.fun_pname_a) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (=> (= B_3 (tptp.hAPP_pname_a F X_1)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_3) (tptp.image_pname_a F A)))))))
% 6.62/6.89 (assume a437 (forall ((X_2 tptp.x_a) (Xa tptp.fun_a_bool)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_2) Xa) (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fdisj (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool tptp.fequal_a) X_2)) (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool tptp.member_a) Xa))))))
% 6.62/6.89 (assume a438 (forall ((X_2 tptp.int) (Xa tptp.fun_int_bool)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_2) Xa) (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fdisj (tptp.hAPP_i1948725293t_bool (tptp.cOMBC_int_int_bool tptp.fequal_int) X_2)) (tptp.hAPP_f1805168059t_bool (tptp.cOMBC_94739984l_bool tptp.member_int) Xa))))))
% 6.62/6.89 (assume a439 (forall ((X_2 tptp.nat) (Xa tptp.fun_nat_bool)) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_2) Xa) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.fequal_nat) X_2)) (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) Xa))))))
% 6.62/6.89 (assume a440 (forall ((X_2 tptp.pname) (Xa tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_2) Xa) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool tptp.fequal_pname) X_2)) (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool tptp.member_pname) Xa))))))
% 6.62/6.89 (assume a441 (forall ((F tptp.fun_int_bool) (G_1 tptp.fun_int_bool)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool F) G_1)) (forall ((X_2 tptp.int)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_int_bool F X_2)) (tptp.hAPP_int_bool G_1 X_2)))))))
% 6.62/6.89 (assume a442 (forall ((F tptp.fun_nat_bool) (G_1 tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G_1)) (forall ((X_2 tptp.nat)) (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_1 X_2)))))))
% 6.62/6.89 (assume a443 (forall ((F tptp.fun_a_bool) (G_1 tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool F) G_1)) (forall ((X_2 tptp.x_a)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_a_bool F X_2)) (tptp.hAPP_a_bool G_1 X_2)))))))
% 6.62/6.89 (assume a444 (forall ((X_1 tptp.int) (F tptp.fun_int_bool) (G_1 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool F) G_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_int_bool F X_1)) (tptp.hAPP_int_bool G_1 X_1))))))
% 6.62/6.89 (assume a445 (forall ((X_1 tptp.nat) (F tptp.fun_nat_bool) (G_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G_1)) (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_1 X_1))))))
% 6.62/6.89 (assume a446 (forall ((X_1 tptp.x_a) (F tptp.fun_a_bool) (G_1 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool F) G_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_a_bool F X_1)) (tptp.hAPP_a_bool G_1 X_1))))))
% 6.62/6.89 (assume a447 (forall ((X_1 tptp.int) (F tptp.fun_int_bool) (G_1 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool F) G_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_int_bool F X_1)) (tptp.hAPP_int_bool G_1 X_1))))))
% 6.62/6.89 (assume a448 (forall ((X_1 tptp.nat) (F tptp.fun_nat_bool) (G_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G_1)) (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_1 X_1))))))
% 6.62/6.89 (assume a449 (forall ((X_1 tptp.x_a) (F tptp.fun_a_bool) (G_1 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool F) G_1)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_a_bool F X_1)) (tptp.hAPP_a_bool G_1 X_1))))))
% 6.62/6.89 (assume a450 (forall ((B tptp.fun_a_bool) (A_2 tptp.x_a)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) B)))))
% 6.62/6.89 (assume a451 (forall ((B tptp.fun_int_bool) (A_2 tptp.int)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) B)))))
% 6.62/6.89 (assume a452 (forall ((B tptp.fun_nat_bool) (A_2 tptp.nat)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) B)))))
% 6.62/6.89 (assume a453 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B))))))
% 6.62/6.89 (assume a454 (forall ((X_1 tptp.int) (A tptp.fun_int_bool) (B tptp.fun_int_bool)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) B)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B))))))
% 6.62/6.89 (assume a455 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A)) B)) (and (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))))))
% 6.62/6.89 (assume a456 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B))))))
% 6.62/6.89 (assume a457 (forall ((B tptp.fun_a_bool) (X_1 tptp.x_a) (A tptp.fun_a_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) B))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B))))))
% 6.62/6.89 (assume a458 (forall ((B tptp.fun_int_bool) (X_1 tptp.int) (A tptp.fun_int_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A))) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) B))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B))))))
% 6.62/6.89 (assume a459 (forall ((B tptp.fun_nat_bool) (X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A))) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) B))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B))))))
% 6.62/6.89 (assume a460 (forall ((B tptp.fun_pname_bool) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) B))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B))))))
% 6.62/6.89 (assume a461 (forall ((B_3 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a B_3) B))))))
% 6.62/6.89 (assume a462 (forall ((B_3 tptp.int) (A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int B_3) B))))))
% 6.62/6.89 (assume a463 (forall ((B_3 tptp.nat) (A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (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 A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat B_3) B))))))
% 6.62/6.89 (assume a464 (forall ((A_2 tptp.x_a) (C_11 tptp.fun_a_bool) (D_4 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool C_11) D_4)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) C_11)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) D_4))))))
% 6.62/6.89 (assume a465 (forall ((A_2 tptp.int) (C_11 tptp.fun_int_bool) (D_4 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool C_11) D_4)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) C_11)) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) D_4))))))
% 6.62/6.89 (assume a466 (forall ((A_2 tptp.nat) (C_11 tptp.fun_nat_bool) (D_4 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C_11) D_4)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) C_11)) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) D_4))))))
% 6.62/6.89 (assume a467 (forall ((F tptp.fun_nat_int) (A_2 tptp.nat) (B tptp.fun_nat_bool)) (= (tptp.image_nat_int F (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) B)) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int (tptp.hAPP_nat_int F A_2)) (tptp.image_nat_int F B)))))
% 6.62/6.89 (assume a468 (forall ((F tptp.fun_pname_a) (A_2 tptp.pname) (B tptp.fun_pname_bool)) (= (tptp.image_pname_a F (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_2) B)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a F A_2)) (tptp.image_pname_a F B)))))
% 6.62/6.89 (assume a469 (forall ((F tptp.fun_nat_int) (X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int (tptp.hAPP_nat_int F X_1)) (tptp.image_nat_int F A)) (tptp.image_nat_int F A)))))
% 6.62/6.89 (assume a470 (forall ((F tptp.fun_pname_a) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A)) (tptp.image_pname_a F A)))))
% 6.62/6.89 (assume a471 (forall ((B tptp.fun_int_bool) (F tptp.fun_nat_int) (A tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) (tptp.image_nat_int F A))) (exists ((AA tptp.fun_nat_bool)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool AA) A)) (= B (tptp.image_nat_int F AA)))))))
% 6.62/6.89 (assume a472 (forall ((B tptp.fun_a_bool) (F tptp.fun_pname_a) (A tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) (tptp.image_pname_a F A))) (exists ((AA tptp.fun_pname_bool)) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool AA) A)) (= B (tptp.image_pname_a F AA)))))))
% 6.62/6.89 (assume a473 (forall ((F tptp.fun_nat_int) (A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool (tptp.image_nat_int F A)) (tptp.image_nat_int F B))))))
% 6.62/6.89 (assume a474 (forall ((F tptp.fun_pname_a) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.image_pname_a F A)) (tptp.image_pname_a F B))))))
% 6.62/6.89 (assume a475 (forall ((B_3 tptp.int) (F tptp.fun_nat_int) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_3) (tptp.image_nat_int F A))) (not (forall ((X_2 tptp.nat)) (=> (= B_3 (tptp.hAPP_nat_int F X_2)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)))))))))
% 6.62/6.89 (assume a476 (forall ((B_3 tptp.x_a) (F tptp.fun_pname_a) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_3) (tptp.image_pname_a F A))) (not (forall ((X_2 tptp.pname)) (=> (= B_3 (tptp.hAPP_pname_a F X_2)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)))))))))
% 6.62/6.89 (assume a477 (forall ((B tptp.fun_int_bool) (A tptp.fun_int_bool)) (=> (forall ((X_2 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_2) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_2) B)))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)))))
% 6.62/6.89 (assume a478 (forall ((B tptp.fun_nat_bool) (A tptp.fun_nat_bool)) (=> (forall ((X_2 tptp.nat)) (=> (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)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)))))
% 6.62/6.89 (assume a479 (forall ((B tptp.fun_a_bool) (A tptp.fun_a_bool)) (=> (forall ((X_2 tptp.x_a)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_2) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_2) B)))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)))))
% 6.62/6.89 (assume a480 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool)) (=> (forall ((X_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) B)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)))))
% 6.62/6.89 (assume a481 (forall ((F tptp.fun_nat_int) (B tptp.fun_int_bool) (A tptp.fun_nat_bool)) (=> (forall ((X_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_nat_int F X_2)) B)))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool (tptp.image_nat_int F A)) B)))))
% 6.62/6.89 (assume a482 (forall ((F tptp.fun_pname_a) (B tptp.fun_a_bool) (A tptp.fun_pname_bool)) (=> (forall ((X_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_2)) B)))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.image_pname_a F A)) B)))))
% 6.62/6.89 (assume a483 (forall ((F tptp.fun_int_bool) (G_1 tptp.fun_int_bool)) (=> (forall ((X_2 tptp.int)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_int_bool F X_2)) (tptp.hAPP_int_bool G_1 X_2)))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool F) G_1)))))
% 6.62/6.89 (assume a484 (forall ((F tptp.fun_nat_bool) (G_1 tptp.fun_nat_bool)) (=> (forall ((X_2 tptp.nat)) (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_1 X_2)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G_1)))))
% 6.62/6.89 (assume a485 (forall ((F tptp.fun_a_bool) (G_1 tptp.fun_a_bool)) (=> (forall ((X_2 tptp.x_a)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_a_bool F X_2)) (tptp.hAPP_a_bool G_1 X_2)))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool F) G_1)))))
% 6.62/6.89 (assume a486 (forall ((N_2 tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat N_2)) (exists ((M_2 tptp.nat)) (forall ((X_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) N_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_2) M_2))))))))
% 6.62/6.89 (assume a487 (forall ((G tptp.fun_a_bool) (C_6 tptp.com)) (=> (tptp.hBOOL (tptp.wt C_6)) (=> (forall ((X_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) tptp.u)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.p G) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call X_2)) tptp.bot_bot_fun_a_bool))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.p G) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.mgt C_6)) tptp.bot_bot_fun_a_bool)))))))
% 6.62/6.89 (assume a488 (forall ((A_2 tptp.int) (B_3 tptp.int) (C_6 tptp.int) (D_1 tptp.int)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_2) B_3) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int C_6) D_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_2) B_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C_6) D_1))))))
% 6.62/6.89 (assume a489 (forall ((M tptp.nat) (Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M)) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.nat_case_bool tptp.fFalse (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M)) Na)))))
% 6.62/6.89 (assume a490 (forall ((A_2 tptp.int)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_2) tptp.bot_bot_fun_int_bool)))))
% 6.62/6.89 (assume a491 (forall ((A_2 tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) tptp.bot_bot_fun_nat_bool)))))
% 6.62/6.89 (assume a492 (forall ((A_2 tptp.x_a)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) tptp.bot_bot_fun_a_bool)))))
% 6.62/6.89 (assume a493 (forall ((A_2 tptp.pname)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) tptp.bot_bo844097828e_bool)))))
% 6.62/6.89 (assume a494 (forall ((B tptp.fun_int_bool) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B))))))
% 6.62/6.89 (assume a495 (forall ((B tptp.fun_nat_bool) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B))))))
% 6.62/6.89 (assume a496 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))))))
% 6.62/6.89 (assume a497 (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int tptp.bot_bot_fun_int_bool)))
% 6.62/6.89 (assume a498 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat tptp.bot_bot_fun_nat_bool)))
% 6.62/6.89 (assume a499 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname tptp.bot_bo844097828e_bool)))
% 6.62/6.89 (assume a500 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a tptp.bot_bot_fun_a_bool)))
% 6.62/6.89 (assume a501 (forall ((A tptp.fun_nat_bool)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool tptp.bot_bot_fun_nat_bool) A))))
% 6.62/6.89 (assume a502 (forall ((A tptp.fun_int_bool)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool tptp.bot_bot_fun_int_bool) A))))
% 6.62/6.89 (assume a503 (forall ((A tptp.fun_a_bool)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.bot_bot_fun_a_bool) A))))
% 6.62/6.89 (assume a504 (forall ((A_2 tptp.int) (A tptp.fun_int_bool)) (=> (= A tptp.bot_bot_fun_int_bool) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_2) A))))))
% 6.62/6.89 (assume a505 (forall ((A_2 tptp.nat) (A tptp.fun_nat_bool)) (=> (= A tptp.bot_bot_fun_nat_bool) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) A))))))
% 6.62/6.89 (assume a506 (forall ((A_2 tptp.x_a) (A tptp.fun_a_bool)) (=> (= A tptp.bot_bot_fun_a_bool) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) A))))))
% 6.62/6.89 (assume a507 (forall ((A_2 tptp.pname) (A tptp.fun_pname_bool)) (=> (= A tptp.bot_bo844097828e_bool) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) A))))))
% 6.62/6.89 (assume a508 (forall ((Pa tptp.fun_int_bool)) (= (= (tptp.collect_int Pa) tptp.bot_bot_fun_int_bool) (forall ((X_2 tptp.int)) (not (tptp.hBOOL (tptp.hAPP_int_bool Pa X_2)))))))
% 6.62/6.89 (assume a509 (forall ((Pa tptp.fun_nat_bool)) (= (= (tptp.collect_nat Pa) tptp.bot_bot_fun_nat_bool) (forall ((X_2 tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_2)))))))
% 6.62/6.89 (assume a510 (forall ((Pa tptp.fun_a_bool)) (= (= (tptp.collect_a Pa) tptp.bot_bot_fun_a_bool) (forall ((X_2 tptp.x_a)) (not (tptp.hBOOL (tptp.hAPP_a_bool Pa X_2)))))))
% 6.62/6.89 (assume a511 (forall ((A tptp.fun_nat_bool)) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) A) tptp.bot_bot_fun_nat_bool)))
% 6.62/6.89 (assume a512 (forall ((A tptp.fun_int_bool)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) A) tptp.bot_bot_fun_int_bool)))
% 6.62/6.89 (assume a513 (forall ((A tptp.fun_a_bool)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) A) tptp.bot_bot_fun_a_bool)))
% 6.62/6.89 (assume a514 (forall ((A tptp.fun_nat_bool)) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) tptp.bot_bot_fun_nat_bool) A)))
% 6.62/6.89 (assume a515 (forall ((A tptp.fun_int_bool)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) tptp.bot_bot_fun_int_bool) A)))
% 6.62/6.89 (assume a516 (forall ((A tptp.fun_a_bool)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) tptp.bot_bot_fun_a_bool) A)))
% 6.62/6.89 (assume a517 (forall ((C_6 tptp.int)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) tptp.bot_bot_fun_int_bool)))))
% 6.62/6.89 (assume a518 (forall ((C_6 tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_6) tptp.bot_bot_fun_nat_bool)))))
% 6.62/6.89 (assume a519 (forall ((C_6 tptp.x_a)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) tptp.bot_bot_fun_a_bool)))))
% 6.62/6.89 (assume a520 (forall ((C_6 tptp.pname)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) tptp.bot_bo844097828e_bool)))))
% 6.62/6.89 (assume a521 (forall ((Pa tptp.fun_int_bool)) (= (= tptp.bot_bot_fun_int_bool (tptp.collect_int Pa)) (forall ((X_2 tptp.int)) (not (tptp.hBOOL (tptp.hAPP_int_bool Pa X_2)))))))
% 6.62/6.89 (assume a522 (forall ((Pa tptp.fun_nat_bool)) (= (= tptp.bot_bot_fun_nat_bool (tptp.collect_nat Pa)) (forall ((X_2 tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa X_2)))))))
% 6.62/6.89 (assume a523 (forall ((Pa tptp.fun_a_bool)) (= (= tptp.bot_bot_fun_a_bool (tptp.collect_a Pa)) (forall ((X_2 tptp.x_a)) (not (tptp.hBOOL (tptp.hAPP_a_bool Pa X_2)))))))
% 6.62/6.89 (assume a524 (forall ((A tptp.fun_nat_bool)) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool tptp.bot_bot_fun_nat_bool) A) tptp.bot_bot_fun_nat_bool)))
% 6.62/6.89 (assume a525 (forall ((A tptp.fun_int_bool)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool tptp.bot_bot_fun_int_bool) A) tptp.bot_bot_fun_int_bool)))
% 6.62/6.89 (assume a526 (forall ((A tptp.fun_a_bool)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool tptp.bot_bot_fun_a_bool) A) tptp.bot_bot_fun_a_bool)))
% 6.62/6.89 (assume a527 (forall ((A tptp.fun_int_bool)) (= (exists ((X_2 tptp.int)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_2) A))) (not (= A tptp.bot_bot_fun_int_bool)))))
% 6.62/6.89 (assume a528 (forall ((A tptp.fun_nat_bool)) (= (exists ((X_2 tptp.nat)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A))) (not (= A tptp.bot_bot_fun_nat_bool)))))
% 6.62/6.89 (assume a529 (forall ((A tptp.fun_a_bool)) (= (exists ((X_2 tptp.x_a)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_2) A))) (not (= A tptp.bot_bot_fun_a_bool)))))
% 6.62/6.89 (assume a530 (forall ((A tptp.fun_pname_bool)) (= (exists ((X_2 tptp.pname)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A))) (not (= A tptp.bot_bo844097828e_bool)))))
% 6.62/6.89 (assume a531 (forall ((A tptp.fun_int_bool)) (= (forall ((X_2 tptp.int)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_2) A)))) (= A tptp.bot_bot_fun_int_bool))))
% 6.62/6.89 (assume a532 (forall ((A tptp.fun_nat_bool)) (= (forall ((X_2 tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A)))) (= A tptp.bot_bot_fun_nat_bool))))
% 6.62/6.89 (assume a533 (forall ((A tptp.fun_a_bool)) (= (forall ((X_2 tptp.x_a)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_2) A)))) (= A tptp.bot_bot_fun_a_bool))))
% 6.62/6.89 (assume a534 (forall ((A tptp.fun_pname_bool)) (= (forall ((X_2 tptp.pname)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) A)))) (= A tptp.bot_bo844097828e_bool))))
% 6.62/6.89 (assume a535 (forall ((X_1 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.bot_bot_fun_nat_bool X_1)) (tptp.hBOOL tptp.bot_bot_bool))))
% 6.62/6.89 (assume a536 (forall ((X_1 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.bot_bot_fun_int_bool X_1)) (tptp.hBOOL tptp.bot_bot_bool))))
% 6.62/6.89 (assume a537 (forall ((X_1 tptp.x_a)) (= (tptp.hBOOL (tptp.hAPP_a_bool tptp.bot_bot_fun_a_bool X_1)) (tptp.hBOOL tptp.bot_bot_bool))))
% 6.62/6.89 (assume a538 (= tptp.bot_bot_fun_int_bool (tptp.collect_int (tptp.cOMBK_bool_int tptp.fFalse))))
% 6.62/6.89 (assume a539 (= tptp.bot_bot_fun_nat_bool (tptp.collect_nat (tptp.cOMBK_bool_nat tptp.fFalse))))
% 6.62/6.89 (assume a540 (= tptp.bot_bot_fun_a_bool (tptp.collect_a (tptp.cOMBK_bool_a tptp.fFalse))))
% 6.62/6.89 (assume a541 (forall ((X_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.bot_bot_fun_nat_bool X_2)) (tptp.hBOOL tptp.bot_bot_bool))))
% 6.62/6.89 (assume a542 (forall ((X_2 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.bot_bot_fun_int_bool X_2)) (tptp.hBOOL tptp.bot_bot_bool))))
% 6.62/6.89 (assume a543 (forall ((X_2 tptp.x_a)) (= (tptp.hBOOL (tptp.hAPP_a_bool tptp.bot_bot_fun_a_bool X_2)) (tptp.hBOOL tptp.bot_bot_bool))))
% 6.62/6.89 (assume a544 (forall ((A_2 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) A)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) tptp.bot_bot_fun_a_bool))) A))))
% 6.62/6.89 (assume a545 (forall ((A_2 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_2) A)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) tptp.bot_bot_fun_int_bool))) A))))
% 6.62/6.89 (assume a546 (forall ((A_2 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) A)) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) tptp.bot_bot_fun_nat_bool))) A))))
% 6.62/6.89 (assume a547 (forall ((A_2 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) A)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_2) tptp.bot_bo844097828e_bool))) A))))
% 6.62/6.89 (assume a548 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A))) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool)) A))))
% 6.62/6.89 (assume a549 (forall ((X_1 tptp.int) (A tptp.fun_int_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A))) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A)) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool)) A))))
% 6.62/6.89 (assume a550 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A))) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A)) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool)) A))))
% 6.62/6.89 (assume a551 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)) A))))
% 6.62/6.89 (assume a552 (forall ((A_2 tptp.x_a) (A tptp.fun_a_bool)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) tptp.bot_bot_fun_a_bool))) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) A))))
% 6.62/6.89 (assume a553 (forall ((A_2 tptp.nat) (A tptp.fun_nat_bool)) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) tptp.bot_bot_fun_nat_bool))) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) A))))
% 6.62/6.89 (assume a554 (forall ((A_2 tptp.int) (A tptp.fun_int_bool)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) tptp.bot_bot_fun_int_bool))) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) A))))
% 6.62/6.89 (assume a555 (forall ((A tptp.fun_a_bool) (A_2 tptp.x_a) (B tptp.fun_a_bool)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) B)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) tptp.bot_bot_fun_a_bool))) B))))
% 6.62/6.89 (assume a556 (forall ((A tptp.fun_nat_bool) (A_2 tptp.nat) (B tptp.fun_nat_bool)) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) B)) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) tptp.bot_bot_fun_nat_bool))) B))))
% 6.62/6.89 (assume a557 (forall ((A tptp.fun_int_bool) (A_2 tptp.int) (B tptp.fun_int_bool)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) B)) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) tptp.bot_bot_fun_int_bool))) B))))
% 6.62/6.89 (assume a558 (forall ((A tptp.fun_a_bool) (A_2 tptp.x_a) (B tptp.fun_a_bool)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) B)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) tptp.bot_bot_fun_a_bool)))))
% 6.62/6.89 (assume a559 (forall ((A tptp.fun_nat_bool) (A_2 tptp.nat) (B tptp.fun_nat_bool)) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) B)) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B)) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) tptp.bot_bot_fun_nat_bool)))))
% 6.62/6.89 (assume a560 (forall ((A tptp.fun_int_bool) (A_2 tptp.int) (B tptp.fun_int_bool)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) B)) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B)) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) tptp.bot_bot_fun_int_bool)))))
% 6.62/6.89 (assume a561 (forall ((A tptp.fun_a_bool) (X_1 tptp.x_a) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool))) B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) B)))))))
% 6.62/6.89 (assume a562 (forall ((A tptp.fun_int_bool) (X_1 tptp.int) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool))) B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) B)))))))
% 6.62/6.89 (assume a563 (forall ((A tptp.fun_nat_bool) (X_1 tptp.nat) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool))) B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) B)))))))
% 6.62/6.89 (assume a564 (forall ((A tptp.fun_pname_bool) (X_1 tptp.pname) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))) B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) B)))))))
% 6.62/6.89 (assume a565 (forall ((A tptp.fun_a_bool) (X_1 tptp.x_a) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) B))) (and (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool))) B))) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)))))))
% 6.62/6.89 (assume a566 (forall ((A tptp.fun_int_bool) (X_1 tptp.int) (B tptp.fun_int_bool)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) B))) (and (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool))) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)))))))
% 6.62/6.89 (assume a567 (forall ((A tptp.fun_nat_bool) (X_1 tptp.nat) (B tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) B))) (and (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool))) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)))))))
% 6.62/6.89 (assume a568 (forall ((A tptp.fun_pname_bool) (X_1 tptp.pname) (B tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) B))) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool A) B)))))))
% 6.62/6.89 (assume a569 (forall ((A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A))))))
% 6.62/6.89 (assume a570 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A))))))
% 6.62/6.89 (assume a571 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A))))))
% 6.62/6.89 (assume a572 (forall ((A tptp.fun_a_bool) (X_1 tptp.x_a) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B)))))
% 6.62/6.89 (assume a573 (forall ((A tptp.fun_int_bool) (X_1 tptp.int) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) B)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A)) B) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B)))))
% 6.62/6.89 (assume a574 (forall ((A tptp.fun_nat_bool) (X_1 tptp.nat) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) B)) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A)) B) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B)))))
% 6.62/6.89 (assume a575 (forall ((A tptp.fun_pname_bool) (X_1 tptp.pname) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) B) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B)))))
% 6.62/6.89 (assume a576 (forall ((A tptp.fun_a_bool) (X_1 tptp.x_a) (B tptp.fun_a_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B))) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B))) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B)))))))
% 6.62/6.89 (assume a577 (forall ((A tptp.fun_int_bool) (X_1 tptp.int) (B tptp.fun_int_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) B)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A)) B) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) B))) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A)) B) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B)))))))
% 6.62/6.89 (assume a578 (forall ((A tptp.fun_nat_bool) (X_1 tptp.nat) (B tptp.fun_nat_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) B)) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A)) B) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) B))) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A)) B) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B)))))))
% 6.62/6.89 (assume a579 (forall ((A tptp.fun_pname_bool) (X_1 tptp.pname) (B tptp.fun_pname_bool)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) B) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) B))) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) B) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B)))))))
% 6.62/6.89 (assume a580 (forall ((C_11 tptp.fun_int_bool) (A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) C_11)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool B) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool C_11) A)) A)))))
% 6.62/6.89 (assume a581 (forall ((C_11 tptp.fun_nat_bool) (A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (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_11)) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool B) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool C_11) A)) A)))))
% 6.62/6.89 (assume a582 (forall ((C_11 tptp.fun_a_bool) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) C_11)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool B) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool C_11) A)) A)))))
% 6.62/6.89 (assume a583 (forall ((D_4 tptp.fun_int_bool) (B tptp.fun_int_bool) (A tptp.fun_int_bool) (C_11 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) C_11)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool D_4) B)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B)) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool C_11) D_4)))))))
% 6.62/6.89 (assume a584 (forall ((D_4 tptp.fun_nat_bool) (B tptp.fun_nat_bool) (A tptp.fun_nat_bool) (C_11 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) C_11)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool D_4) B)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B)) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool C_11) D_4)))))))
% 6.62/6.89 (assume a585 (forall ((D_4 tptp.fun_a_bool) (B tptp.fun_a_bool) (A tptp.fun_a_bool) (C_11 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) C_11)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool D_4) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool C_11) D_4)))))))
% 6.62/6.89 (assume a586 (forall ((A tptp.fun_int_bool) (B tptp.fun_int_bool)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B)) A))))
% 6.62/6.89 (assume a587 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B)) A))))
% 6.62/6.89 (assume a588 (forall ((A tptp.fun_a_bool) (B tptp.fun_a_bool)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B)) A))))
% 6.62/6.89 (assume a589 (forall ((A_2 tptp.x_a) (B_3 tptp.x_a)) (=> (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) tptp.bot_bot_fun_a_bool) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a B_3) tptp.bot_bot_fun_a_bool)) (= A_2 B_3))))
% 6.62/6.89 (assume a590 (forall ((A_2 tptp.nat) (B_3 tptp.nat)) (=> (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) tptp.bot_bot_fun_nat_bool) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat B_3) tptp.bot_bot_fun_nat_bool)) (= A_2 B_3))))
% 6.62/6.89 (assume a591 (forall ((A_2 tptp.int) (B_3 tptp.int)) (=> (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) tptp.bot_bot_fun_int_bool) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int B_3) tptp.bot_bot_fun_int_bool)) (= A_2 B_3))))
% 6.62/6.89 (assume a592 (forall ((B_3 tptp.x_a) (A_2 tptp.x_a)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_3) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) tptp.bot_bot_fun_a_bool))) (= B_3 A_2))))
% 6.62/6.89 (assume a593 (forall ((B_3 tptp.int) (A_2 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_3) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) tptp.bot_bot_fun_int_bool))) (= B_3 A_2))))
% 6.62/6.89 (assume a594 (forall ((B_3 tptp.nat) (A_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat B_3) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) tptp.bot_bot_fun_nat_bool))) (= B_3 A_2))))
% 6.62/6.89 (assume a595 (forall ((B_3 tptp.pname) (A_2 tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_3) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_2) tptp.bot_bo844097828e_bool))) (= B_3 A_2))))
% 6.62/6.89 (assume a596 (forall ((A_2 tptp.x_a) (B_3 tptp.x_a) (C_6 tptp.x_a) (D_1 tptp.x_a)) (= (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a B_3) tptp.bot_bot_fun_a_bool)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a C_6) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a D_1) tptp.bot_bot_fun_a_bool))) (or (and (= A_2 C_6) (= B_3 D_1)) (and (= A_2 D_1) (= B_3 C_6))))))
% 6.62/6.89 (assume a597 (forall ((A_2 tptp.nat) (B_3 tptp.nat) (C_6 tptp.nat) (D_1 tptp.nat)) (= (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat B_3) tptp.bot_bot_fun_nat_bool)) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat C_6) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat D_1) tptp.bot_bot_fun_nat_bool))) (or (and (= A_2 C_6) (= B_3 D_1)) (and (= A_2 D_1) (= B_3 C_6))))))
% 6.62/6.89 (assume a598 (forall ((A_2 tptp.int) (B_3 tptp.int) (C_6 tptp.int) (D_1 tptp.int)) (= (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int B_3) tptp.bot_bot_fun_int_bool)) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int C_6) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int D_1) tptp.bot_bot_fun_int_bool))) (or (and (= A_2 C_6) (= B_3 D_1)) (and (= A_2 D_1) (= B_3 C_6))))))
% 6.62/6.89 (assume a599 (forall ((B_3 tptp.x_a) (A_2 tptp.x_a)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_3) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) tptp.bot_bot_fun_a_bool))) (= B_3 A_2))))
% 6.62/6.89 (assume a600 (forall ((B_3 tptp.int) (A_2 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_3) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) tptp.bot_bot_fun_int_bool))) (= B_3 A_2))))
% 6.62/6.89 (assume a601 (forall ((B_3 tptp.nat) (A_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat B_3) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) tptp.bot_bot_fun_nat_bool))) (= B_3 A_2))))
% 6.62/6.89 (assume a602 (forall ((B_3 tptp.pname) (A_2 tptp.pname)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname B_3) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_2) tptp.bot_bo844097828e_bool))) (= B_3 A_2))))
% 6.62/6.89 (assume a603 (forall ((A_2 tptp.x_a) (A tptp.fun_a_bool)) (not (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) A) tptp.bot_bot_fun_a_bool))))
% 6.62/6.89 (assume a604 (forall ((A_2 tptp.nat) (A tptp.fun_nat_bool)) (not (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) A) tptp.bot_bot_fun_nat_bool))))
% 6.62/6.89 (assume a605 (forall ((A_2 tptp.int) (A tptp.fun_int_bool)) (not (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) A) tptp.bot_bot_fun_int_bool))))
% 6.62/6.89 (assume a606 (forall ((A_2 tptp.x_a) (A tptp.fun_a_bool)) (not (= tptp.bot_bot_fun_a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) A)))))
% 6.62/6.89 (assume a607 (forall ((A_2 tptp.nat) (A tptp.fun_nat_bool)) (not (= tptp.bot_bot_fun_nat_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) A)))))
% 6.62/6.89 (assume a608 (forall ((A_2 tptp.int) (A tptp.fun_int_bool)) (not (= tptp.bot_bot_fun_int_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) A)))))
% 6.62/6.89 (assume a609 (forall ((A tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) tptp.bot_bot_fun_nat_bool)) (= A tptp.bot_bot_fun_nat_bool))))
% 6.62/6.89 (assume a610 (forall ((A tptp.fun_int_bool)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) tptp.bot_bot_fun_int_bool)) (= A tptp.bot_bot_fun_int_bool))))
% 6.62/6.89 (assume a611 (forall ((A tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) tptp.bot_bot_fun_a_bool)) (= A tptp.bot_bot_fun_a_bool))))
% 6.62/6.89 (assume a612 (forall ((F tptp.fun_nat_int) (A tptp.fun_nat_bool)) (= (= (tptp.image_nat_int F A) tptp.bot_bot_fun_int_bool) (= A tptp.bot_bot_fun_nat_bool))))
% 6.62/6.89 (assume a613 (forall ((F tptp.fun_pname_a) (A tptp.fun_pname_bool)) (= (= (tptp.image_pname_a F A) tptp.bot_bot_fun_a_bool) (= A tptp.bot_bo844097828e_bool))))
% 6.62/6.89 (assume a614 (forall ((F tptp.fun_nat_int)) (= (tptp.image_nat_int F tptp.bot_bot_fun_nat_bool) tptp.bot_bot_fun_int_bool)))
% 6.62/6.89 (assume a615 (forall ((F tptp.fun_pname_a)) (= (tptp.image_pname_a F tptp.bot_bo844097828e_bool) tptp.bot_bot_fun_a_bool)))
% 6.62/6.89 (assume a616 (forall ((F tptp.fun_nat_int) (A tptp.fun_nat_bool)) (= (= tptp.bot_bot_fun_int_bool (tptp.image_nat_int F A)) (= A tptp.bot_bot_fun_nat_bool))))
% 6.62/6.89 (assume a617 (forall ((F tptp.fun_pname_a) (A tptp.fun_pname_bool)) (= (= tptp.bot_bot_fun_a_bool (tptp.image_pname_a F A)) (= A tptp.bot_bo844097828e_bool))))
% 6.62/6.89 (assume a618 (forall ((A_2 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_2) tptp.bot_bot_fun_nat_bool)) (= A_2 tptp.bot_bot_fun_nat_bool))))
% 6.62/6.89 (assume a619 (forall ((A_2 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A_2) tptp.bot_bot_fun_int_bool)) (= A_2 tptp.bot_bot_fun_int_bool))))
% 6.62/6.89 (assume a620 (forall ((A_17 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_17) tptp.bot_bot_nat)) (= A_17 tptp.bot_bot_nat))))
% 6.62/6.89 (assume a621 (forall ((A_2 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_2) tptp.bot_bot_fun_a_bool)) (= A_2 tptp.bot_bot_fun_a_bool))))
% 6.62/6.89 (assume a622 (forall ((A_2 tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_2) tptp.bot_bot_fun_nat_bool)) (= A_2 tptp.bot_bot_fun_nat_bool))))
% 6.62/6.89 (assume a623 (forall ((A_2 tptp.fun_int_bool)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A_2) tptp.bot_bot_fun_int_bool)) (= A_2 tptp.bot_bot_fun_int_bool))))
% 6.62/6.89 (assume a624 (forall ((A_2 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_2) tptp.bot_bot_nat)) (= A_2 tptp.bot_bot_nat))))
% 6.62/6.89 (assume a625 (forall ((A_2 tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A_2) tptp.bot_bot_fun_a_bool)) (= A_2 tptp.bot_bot_fun_a_bool))))
% 6.62/6.89 (assume a626 (forall ((A_2 tptp.fun_nat_bool)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool tptp.bot_bot_fun_nat_bool) A_2))))
% 6.62/6.89 (assume a627 (forall ((A_2 tptp.fun_int_bool)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool tptp.bot_bot_fun_int_bool) A_2))))
% 6.62/6.89 (assume a628 (forall ((A_16 tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.bot_bot_nat) A_16))))
% 6.62/6.89 (assume a629 (forall ((A_2 tptp.fun_a_bool)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.bot_bot_fun_a_bool) A_2))))
% 6.62/6.89 (assume a630 (forall ((Pa tptp.fun_a_bool) (A_2 tptp.x_a)) (and (=> (tptp.hBOOL (tptp.hAPP_a_bool Pa A_2)) (= (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool tptp.fequal_a) A_2)) Pa)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) tptp.bot_bot_fun_a_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_a_bool Pa A_2))) (= (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool tptp.fequal_a) A_2)) Pa)) tptp.bot_bot_fun_a_bool)))))
% 6.62/6.89 (assume a631 (forall ((Pa tptp.fun_int_bool) (A_2 tptp.int)) (and (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa A_2)) (= (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fconj (tptp.hAPP_i1948725293t_bool (tptp.cOMBC_int_int_bool tptp.fequal_int) A_2)) Pa)) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) tptp.bot_bot_fun_int_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool Pa A_2))) (= (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fconj (tptp.hAPP_i1948725293t_bool (tptp.cOMBC_int_int_bool tptp.fequal_int) A_2)) Pa)) tptp.bot_bot_fun_int_bool)))))
% 6.62/6.89 (assume a632 (forall ((Pa tptp.fun_nat_bool) (A_2 tptp.nat)) (and (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa A_2)) (= (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.fequal_nat) A_2)) Pa)) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) tptp.bot_bot_fun_nat_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa A_2))) (= (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.fequal_nat) A_2)) Pa)) tptp.bot_bot_fun_nat_bool)))))
% 6.62/6.89 (assume a633 (forall ((Pa tptp.fun_a_bool) (A_2 tptp.x_a)) (and (=> (tptp.hBOOL (tptp.hAPP_a_bool Pa A_2)) (= (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_a_fun_a_bool tptp.fequal_a A_2)) Pa)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) tptp.bot_bot_fun_a_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_a_bool Pa A_2))) (= (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_a_fun_a_bool tptp.fequal_a A_2)) Pa)) tptp.bot_bot_fun_a_bool)))))
% 6.62/6.89 (assume a634 (forall ((Pa tptp.fun_int_bool) (A_2 tptp.int)) (and (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa A_2)) (= (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fconj (tptp.hAPP_i1948725293t_bool tptp.fequal_int A_2)) Pa)) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) tptp.bot_bot_fun_int_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool Pa A_2))) (= (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fconj (tptp.hAPP_i1948725293t_bool tptp.fequal_int A_2)) Pa)) tptp.bot_bot_fun_int_bool)))))
% 6.62/6.89 (assume a635 (forall ((Pa tptp.fun_nat_bool) (A_2 tptp.nat)) (and (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa A_2)) (= (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_n1699378549t_bool tptp.fequal_nat A_2)) Pa)) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) tptp.bot_bot_fun_nat_bool))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa A_2))) (= (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_n1699378549t_bool tptp.fequal_nat A_2)) Pa)) tptp.bot_bot_fun_nat_bool)))))
% 6.62/6.89 (assume a636 (forall ((A_2 tptp.x_a)) (= (tptp.collect_a (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool tptp.fequal_a) A_2)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) tptp.bot_bot_fun_a_bool))))
% 6.62/6.89 (assume a637 (forall ((A_2 tptp.int)) (= (tptp.collect_int (tptp.hAPP_i1948725293t_bool (tptp.cOMBC_int_int_bool tptp.fequal_int) A_2)) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) tptp.bot_bot_fun_int_bool))))
% 6.62/6.89 (assume a638 (forall ((A_2 tptp.nat)) (= (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.fequal_nat) A_2)) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) tptp.bot_bot_fun_nat_bool))))
% 6.62/6.89 (assume a639 (forall ((A_2 tptp.x_a)) (= (tptp.collect_a (tptp.hAPP_a_fun_a_bool tptp.fequal_a A_2)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) tptp.bot_bot_fun_a_bool))))
% 6.62/6.89 (assume a640 (forall ((A_2 tptp.int)) (= (tptp.collect_int (tptp.hAPP_i1948725293t_bool tptp.fequal_int A_2)) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) tptp.bot_bot_fun_int_bool))))
% 6.62/6.89 (assume a641 (forall ((A_2 tptp.nat)) (= (tptp.collect_nat (tptp.hAPP_n1699378549t_bool tptp.fequal_nat A_2)) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) tptp.bot_bot_fun_nat_bool))))
% 6.62/6.89 (assume a642 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool)))) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A))))))
% 6.62/6.89 (assume a643 (forall ((X_1 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool)))) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A))))))
% 6.62/6.89 (assume a644 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool)))) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A))))))
% 6.62/6.89 (assume a645 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)))) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A))))))
% 6.62/6.89 (assume a646 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool))))))))
% 6.62/6.89 (assume a647 (forall ((X_1 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool))))))))
% 6.62/6.89 (assume a648 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool))))))))
% 6.62/6.89 (assume a649 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (= (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))))))))
% 6.62/6.89 (assume a650 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool)))) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A))))))
% 6.62/6.89 (assume a651 (forall ((X_1 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool)))) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A))))))
% 6.62/6.89 (assume a652 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool)))) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A))))))
% 6.62/6.89 (assume a653 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)))) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A))))))
% 6.62/6.89 (assume a654 (forall ((A tptp.fun_a_bool) (A_2 tptp.x_a) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) B)))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B))))))
% 6.62/6.89 (assume a655 (forall ((A tptp.fun_int_bool) (A_2 tptp.int) (B tptp.fun_int_bool)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) B)))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B))))))
% 6.62/6.89 (assume a656 (forall ((A tptp.fun_nat_bool) (A_2 tptp.nat) (B tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) B)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B))))))
% 6.62/6.89 (assume a657 (forall ((A tptp.fun_pname_bool) (A_2 tptp.pname) (B tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_2) B)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))))))
% 6.62/6.89 (assume a658 (forall ((F tptp.fun_nat_int) (A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool (tptp.image_nat_int F A)) (tptp.image_nat_int F B))) (tptp.image_nat_int F (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B))))))
% 6.62/6.89 (assume a659 (forall ((F tptp.fun_pname_a) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool (tptp.image_pname_a F A)) (tptp.image_pname_a F B))) (tptp.image_pname_a F (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))))))
% 6.62/6.89 (assume a660 (forall ((A tptp.fun_a_bool) (X_1 tptp.x_a)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool))) (or (= A tptp.bot_bot_fun_a_bool) (= A (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool))))))
% 6.62/6.89 (assume a661 (forall ((A tptp.fun_nat_bool) (X_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool))) (or (= A tptp.bot_bot_fun_nat_bool) (= A (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool))))))
% 6.62/6.89 (assume a662 (forall ((A tptp.fun_int_bool) (X_1 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool))) (or (= A tptp.bot_bot_fun_int_bool) (= A (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool))))))
% 6.62/6.89 (assume a663 (forall ((F1 tptp.nat) (F2 tptp.fun_nat_nat) (Nat_3 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.nat_case_nat F1 F2) (tptp.hAPP_nat_nat tptp.suc Nat_3)) (tptp.hAPP_nat_nat F2 Nat_3))))
% 6.62/6.89 (assume a664 (forall ((F1 tptp.bool) (F2 tptp.fun_nat_bool) (Nat_3 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.nat_case_bool F1 F2) (tptp.hAPP_nat_nat tptp.suc Nat_3))) (tptp.hBOOL (tptp.hAPP_nat_bool F2 Nat_3)))))
% 6.62/6.89 (assume a665 (forall ((C_6 tptp.int) (X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (= (tptp.image_nat_int (tptp.cOMBK_int_nat C_6) A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int C_6) tptp.bot_bot_fun_int_bool)))))
% 6.62/6.89 (assume a666 (forall ((C_6 tptp.x_a) (X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= (tptp.image_pname_a (tptp.cOMBK_a_pname C_6) A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a C_6) tptp.bot_bot_fun_a_bool)))))
% 6.62/6.89 (assume a667 (forall ((C_6 tptp.int) (A tptp.fun_nat_bool)) (and (=> (= A tptp.bot_bot_fun_nat_bool) (= (tptp.image_nat_int (tptp.cOMBK_int_nat C_6) A) tptp.bot_bot_fun_int_bool)) (=> (not (= A tptp.bot_bot_fun_nat_bool)) (= (tptp.image_nat_int (tptp.cOMBK_int_nat C_6) A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int C_6) tptp.bot_bot_fun_int_bool))))))
% 6.62/6.89 (assume a668 (forall ((C_6 tptp.x_a) (A tptp.fun_pname_bool)) (and (=> (= A tptp.bot_bo844097828e_bool) (= (tptp.image_pname_a (tptp.cOMBK_a_pname C_6) A) tptp.bot_bot_fun_a_bool)) (=> (not (= A tptp.bot_bo844097828e_bool)) (= (tptp.image_pname_a (tptp.cOMBK_a_pname C_6) A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a C_6) tptp.bot_bot_fun_a_bool))))))
% 6.62/6.89 (assume a669 (forall ((A_2 tptp.int) (B_3 tptp.int) (C_6 tptp.int) (D_1 tptp.int)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_2) B_3) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int C_6) D_1)) (= (= A_2 B_3) (= C_6 D_1)))))
% 6.62/6.89 (assume a670 (forall ((A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) A)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A)) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int B)))))))
% 6.62/6.89 (assume a671 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat B)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) A)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A)) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat B)))))))
% 6.62/6.89 (assume a672 (forall ((A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) A)) (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A)) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a B)))))))
% 6.62/6.89 (assume a673 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A)) (= (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A)) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname B)))))))
% 6.62/6.89 (assume a674 (forall ((A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int B)) (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.minus_minus_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A)) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int B))) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B)))))))
% 6.62/6.89 (assume a675 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (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.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A)) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat B))) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B)))))))
% 6.62/6.89 (assume a676 (forall ((A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a B)) (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.minus_minus_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A)) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a B))) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B)))))))
% 6.62/6.89 (assume a677 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname B)) (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.minus_minus_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A)) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname B))) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B)))))))
% 6.62/6.89 (assume a678 (forall ((Pa tptp.fun_fun_a_bool_bool) (A tptp.fun_a_bool) (F_1 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a F_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool F_1) A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa tptp.bot_bot_fun_a_bool)) (=> (forall ((A_14 tptp.x_a) (F_2 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a F_2)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_14) A)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_14) F_2))) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_14) F_2)))))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa F_1))))))))
% 6.62/6.89 (assume a679 (forall ((Pa tptp.fun_fu819804446l_bool) (A tptp.fun_int_bool) (F_1 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int F_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool F_1) A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa tptp.bot_bot_fun_int_bool)) (=> (forall ((A_14 tptp.int) (F_2 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int F_2)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_14) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_14) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_14) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa F_1))))))))
% 6.62/6.89 (assume a680 (forall ((Pa tptp.fun_fu425979586l_bool) (A tptp.fun_nat_bool) (F_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F_1) A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa tptp.bot_bot_fun_nat_bool)) (=> (forall ((A_14 tptp.nat) (F_2 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_14) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_14) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_14) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa F_1))))))))
% 6.62/6.89 (assume a681 (forall ((Pa tptp.fun_fu1430349052l_bool) (A tptp.fun_pname_bool) (F_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool F_1) A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa tptp.bot_bo844097828e_bool)) (=> (forall ((A_14 tptp.pname) (F_2 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_2)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_14) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_14) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_14) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa F_1))))))))
% 6.62/6.89 (assume a682 (forall ((Pn tptp.pname) (G tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.p (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call Pn)) G)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.mgt (tptp.the_com (tptp.body Pn)))) tptp.bot_bot_fun_a_bool))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.p G) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call Pn)) tptp.bot_bot_fun_a_bool))))))
% 6.62/6.89 (assume a683 (forall ((Pa tptp.fun_fun_a_bool_bool) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa A)) (=> (forall ((A_14 tptp.x_a) (A_15 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_15)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_14) A_15)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa A_15)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A_15) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_14) tptp.bot_bot_fun_a_bool)))))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa tptp.bot_bot_fun_a_bool)))))))
% 6.62/6.89 (assume a684 (forall ((Pa tptp.fun_fu819804446l_bool) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa A)) (=> (forall ((A_14 tptp.int) (A_15 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A_15)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_14) A_15)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa A_15)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A_15) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_14) tptp.bot_bot_fun_int_bool)))))))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa tptp.bot_bot_fun_int_bool)))))))
% 6.62/6.89 (assume a685 (forall ((Pa tptp.fun_fu425979586l_bool) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa A)) (=> (forall ((A_14 tptp.nat) (A_15 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_15)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_14) A_15)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa A_15)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A_15) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_14) tptp.bot_bot_fun_nat_bool)))))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa tptp.bot_bot_fun_nat_bool)))))))
% 6.62/6.89 (assume a686 (forall ((Pa tptp.fun_fu1430349052l_bool) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa A)) (=> (forall ((A_14 tptp.pname) (A_15 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_15)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_14) A_15)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa A_15)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A_15) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_14) tptp.bot_bo844097828e_bool)))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa tptp.bot_bo844097828e_bool)))))))
% 6.62/6.89 (assume a687 (forall ((Pa tptp.fun_fun_a_bool_bool) (F_1 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a F_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa tptp.bot_bot_fun_a_bool)) (=> (forall ((X_2 tptp.x_a) (F_2 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a F_2)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_2) F_2))))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa F_1)))))))
% 6.62/6.89 (assume a688 (forall ((Pa tptp.fun_fu819804446l_bool) (F_1 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int F_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa tptp.bot_bot_fun_int_bool)) (=> (forall ((X_2 tptp.int) (F_2 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int F_2)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_2) F_2))))))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa F_1)))))))
% 6.62/6.89 (assume a689 (forall ((Pa tptp.fun_fu425979586l_bool) (F_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa tptp.bot_bot_fun_nat_bool)) (=> (forall ((X_2 tptp.nat) (F_2 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_2)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_2) F_2))))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa F_1)))))))
% 6.62/6.89 (assume a690 (forall ((Pa tptp.fun_fu1430349052l_bool) (F_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa tptp.bot_bo844097828e_bool)) (=> (forall ((X_2 tptp.pname) (F_2 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_2)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_2) F_2))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa F_1)))))))
% 6.62/6.89 (assume a691 (forall ((A_2 tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_2)) (or (= A_2 tptp.bot_bot_fun_a_bool) (exists ((A_15 tptp.fun_a_bool) (A_14 tptp.x_a)) (and (= A_2 (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_14) A_15)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A_15))))))))
% 6.62/6.89 (assume a692 (forall ((A_2 tptp.fun_int_bool)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A_2)) (or (= A_2 tptp.bot_bot_fun_int_bool) (exists ((A_15 tptp.fun_int_bool) (A_14 tptp.int)) (and (= A_2 (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_14) A_15)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A_15))))))))
% 6.62/6.89 (assume a693 (forall ((A_2 tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_2)) (or (= A_2 tptp.bot_bot_fun_nat_bool) (exists ((A_15 tptp.fun_nat_bool) (A_14 tptp.nat)) (and (= A_2 (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_14) A_15)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A_15))))))))
% 6.62/6.89 (assume a694 (forall ((A_2 tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_2)) (or (= A_2 tptp.bot_bo844097828e_bool) (exists ((A_15 tptp.fun_pname_bool) (A_14 tptp.pname)) (and (= A_2 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_14) A_15)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A_15))))))))
% 6.62/6.89 (assume a695 (forall ((U tptp.nat) (F tptp.fun_nat_nat)) (=> (forall ((N_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_1) (tptp.hAPP_nat_nat F N_1)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool (tptp.cOMBB_800536526ol_nat tptp.ord_less_eq_nat F)) U)))))))
% 6.62/6.89 (assume a696 (forall ((X_1 tptp.x_a)) (= (tptp.hAPP_fun_a_bool_a tptp.the_elem_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool)) X_1)))
% 6.62/6.89 (assume a697 (forall ((X_1 tptp.nat)) (= (tptp.hAPP_f22106695ol_nat tptp.the_elem_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool)) X_1)))
% 6.62/6.89 (assume a698 (forall ((X_1 tptp.int)) (= (tptp.hAPP_f1594865479ol_int tptp.the_elem_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool)) X_1)))
% 6.62/6.89 (assume a699 (forall ((A tptp.fun_a_bool)) (= (not (= A tptp.bot_bot_fun_a_bool)) (exists ((X_2 tptp.x_a) (B_15 tptp.fun_a_bool)) (and (= A (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_2) B_15)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_2) B_15))))))))
% 6.62/6.89 (assume a700 (forall ((A tptp.fun_int_bool)) (= (not (= A tptp.bot_bot_fun_int_bool)) (exists ((X_2 tptp.int) (B_15 tptp.fun_int_bool)) (and (= A (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_2) B_15)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_2) B_15))))))))
% 6.62/6.89 (assume a701 (forall ((A tptp.fun_nat_bool)) (= (not (= A tptp.bot_bot_fun_nat_bool)) (exists ((X_2 tptp.nat) (B_15 tptp.fun_nat_bool)) (and (= A (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_2) B_15)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) B_15))))))))
% 6.62/6.89 (assume a702 (forall ((A tptp.fun_pname_bool)) (= (not (= A tptp.bot_bo844097828e_bool)) (exists ((X_2 tptp.pname) (B_15 tptp.fun_pname_bool)) (and (= A (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_2) B_15)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) B_15))))))))
% 6.62/6.89 (assume a703 (forall ((Pn tptp.pname)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname Pn) tptp.u)) (tptp.hBOOL (tptp.wt (tptp.the_com (tptp.body Pn)))))))
% 6.62/6.89 (assume a704 (forall ((C_6 tptp.int) (A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B))) (not (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) B)))))))
% 6.62/6.89 (assume a705 (forall ((C_6 tptp.nat) (A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_6) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B))) (not (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_6) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_6) B)))))))
% 6.62/6.89 (assume a706 (forall ((C_6 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B))) (not (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) B)))))))
% 6.62/6.89 (assume a707 (forall ((C_6 tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))) (not (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) A)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) B)))))))
% 6.62/6.89 (assume a708 (forall ((B tptp.fun_int_bool) (C_6 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) B))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B)))))))
% 6.62/6.89 (assume a709 (forall ((B tptp.fun_nat_bool) (C_6 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_6) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_6) B))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_6) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B)))))))
% 6.62/6.89 (assume a710 (forall ((B tptp.fun_a_bool) (C_6 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) A)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) B))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B)))))))
% 6.62/6.89 (assume a711 (forall ((B tptp.fun_pname_bool) (C_6 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) B))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B)))))))
% 6.62/6.89 (assume a712 (forall ((C_6 tptp.int) (A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B))) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) B))))))
% 6.62/6.89 (assume a713 (forall ((C_6 tptp.nat) (A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_6) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_6) B))))))
% 6.62/6.89 (assume a714 (forall ((C_6 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B))) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) B))))))
% 6.62/6.89 (assume a715 (forall ((C_6 tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) B))))))
% 6.62/6.89 (assume a716 (forall ((C_6 tptp.int) (A tptp.fun_int_bool) (B tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) A)))))
% 6.62/6.89 (assume a717 (forall ((C_6 tptp.nat) (A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_6) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_6) A)))))
% 6.62/6.89 (assume a718 (forall ((C_6 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) A)))))
% 6.62/6.89 (assume a719 (forall ((C_6 tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) A)))))
% 6.62/6.89 (assume a720 (forall ((C_6 tptp.int) (A tptp.fun_int_bool) (B tptp.fun_int_bool)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B))) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) A)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int C_6) B)))))))
% 6.62/6.89 (assume a721 (forall ((C_6 tptp.nat) (A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_6) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B))) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_6) A)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat C_6) B)))))))
% 6.62/6.89 (assume a722 (forall ((C_6 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) A)) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a C_6) B)))))))
% 6.62/6.89 (assume a723 (forall ((C_6 tptp.pname) (A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) A)) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname C_6) B)))))))
% 6.62/6.89 (assume a724 (forall ((A tptp.fun_int_bool) (B tptp.fun_int_bool)) (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B) (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fconj (tptp.hAPP_f1805168059t_bool (tptp.cOMBC_94739984l_bool tptp.member_int) A)) (tptp.cOMBB_bool_bool_int tptp.fNot (tptp.hAPP_f1805168059t_bool (tptp.cOMBC_94739984l_bool tptp.member_int) B)))))))
% 6.62/6.89 (assume a725 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) A)) (tptp.cOMBB_bool_bool_nat tptp.fNot (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) B)))))))
% 6.62/6.89 (assume a726 (forall ((A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B) (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool tptp.member_a) A)) (tptp.cOMBB_bool_bool_a tptp.fNot (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool tptp.member_a) B)))))))
% 6.62/6.89 (assume a727 (forall ((A tptp.fun_pname_bool) (B tptp.fun_pname_bool)) (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool tptp.member_pname) A)) (tptp.cOMBB_647938656_pname tptp.fNot (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool tptp.member_pname) B)))))))
% 6.62/6.89 (assume a728 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (F tptp.fun_a_fun_a_a) (F_1 tptp.fun_fun_a_bool_a)) (=> (tptp.hBOOL (tptp.finite_folding_one_a F F_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (and (=> (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool)) tptp.bot_bot_fun_a_bool) (= (tptp.hAPP_fun_a_bool_a F_1 (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) X_1)) (=> (not (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool)) tptp.bot_bot_fun_a_bool)) (= (tptp.hAPP_fun_a_bool_a F_1 (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) (tptp.hAPP_a_a (tptp.hAPP_a_fun_a_a F X_1) (tptp.hAPP_fun_a_bool_a F_1 (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool)))))))))))
% 6.62/6.89 (assume a729 (forall ((X_1 tptp.int) (A tptp.fun_int_bool) (F tptp.fun_int_fun_int_int) (F_1 tptp.fun_fun_int_bool_int)) (=> (tptp.hBOOL (tptp.finite1626084323ne_int F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (and (=> (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool)) tptp.bot_bot_fun_int_bool) (= (tptp.hAPP_f1594865479ol_int F_1 (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A)) X_1)) (=> (not (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool)) tptp.bot_bot_fun_int_bool)) (= (tptp.hAPP_f1594865479ol_int F_1 (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int F X_1) (tptp.hAPP_f1594865479ol_int F_1 (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool)))))))))))
% 6.62/6.89 (assume a730 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool) (F tptp.fun_nat_fun_nat_nat) (F_1 tptp.fun_fun_nat_bool_nat)) (=> (tptp.hBOOL (tptp.finite988810631ne_nat F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (and (=> (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool)) tptp.bot_bot_fun_nat_bool) (= (tptp.hAPP_f22106695ol_nat F_1 (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A)) X_1)) (=> (not (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool)) tptp.bot_bot_fun_nat_bool)) (= (tptp.hAPP_f22106695ol_nat F_1 (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat F X_1) (tptp.hAPP_f22106695ol_nat F_1 (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool)))))))))))
% 6.62/6.89 (assume a731 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (F_1 tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite1282449217_pname F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (and (=> (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)) tptp.bot_bo844097828e_bool) (= (tptp.hAPP_f1297739591_pname F_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) X_1)) (=> (not (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)) tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_f1297739591_pname F_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_1) (tptp.hAPP_f1297739591_pname F_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)))))))))))
% 6.62/6.89 (assume a732 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (F tptp.fun_a_fun_a_a) (F_1 tptp.fun_fun_a_bool_a)) (=> (tptp.hBOOL (tptp.finite_folding_one_a F F_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A)) (and (=> (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool)) tptp.bot_bot_fun_a_bool) (= (tptp.hAPP_fun_a_bool_a F_1 A) X_1)) (=> (not (= (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool)) tptp.bot_bot_fun_a_bool)) (= (tptp.hAPP_fun_a_bool_a F_1 A) (tptp.hAPP_a_a (tptp.hAPP_a_fun_a_a F X_1) (tptp.hAPP_fun_a_bool_a F_1 (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool))))))))))))
% 6.62/6.89 (assume a733 (forall ((X_1 tptp.int) (A tptp.fun_int_bool) (F tptp.fun_int_fun_int_int) (F_1 tptp.fun_fun_int_bool_int)) (=> (tptp.hBOOL (tptp.finite1626084323ne_int F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A)) (and (=> (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool)) tptp.bot_bot_fun_int_bool) (= (tptp.hAPP_f1594865479ol_int F_1 A) X_1)) (=> (not (= (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool)) tptp.bot_bot_fun_int_bool)) (= (tptp.hAPP_f1594865479ol_int F_1 A) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int F X_1) (tptp.hAPP_f1594865479ol_int F_1 (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool))))))))))))
% 6.62/6.89 (assume a734 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool) (F tptp.fun_nat_fun_nat_nat) (F_1 tptp.fun_fun_nat_bool_nat)) (=> (tptp.hBOOL (tptp.finite988810631ne_nat F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (and (=> (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool)) tptp.bot_bot_fun_nat_bool) (= (tptp.hAPP_f22106695ol_nat F_1 A) X_1)) (=> (not (= (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool)) tptp.bot_bot_fun_nat_bool)) (= (tptp.hAPP_f22106695ol_nat F_1 A) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat F X_1) (tptp.hAPP_f22106695ol_nat F_1 (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool))))))))))))
% 6.62/6.89 (assume a735 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (F_1 tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite1282449217_pname F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (and (=> (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)) tptp.bot_bo844097828e_bool) (= (tptp.hAPP_f1297739591_pname F_1 A) X_1)) (=> (not (= (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)) tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_f1297739591_pname F_1 A) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_1) (tptp.hAPP_f1297739591_pname F_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))))))))))))
% 6.62/6.89 (assume a736 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (and (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A)) (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A)) tptp.one_one_nat))) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A))) (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool))) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A)))))))
% 6.62/6.89 (assume a737 (forall ((X_1 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (and (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A)) tptp.one_one_nat))) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A))) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool))) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A)))))))
% 6.62/6.89 (assume a738 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (and (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A)) tptp.one_one_nat))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A))) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool))) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A)))))))
% 6.62/6.89 (assume a739 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (and (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A)) tptp.one_one_nat))) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (= (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A)))))))
% 6.62/6.89 (assume a740 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A)) (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A)) tptp.one_one_nat))))))
% 6.62/6.89 (assume a741 (forall ((X_1 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A)) tptp.one_one_nat))))))
% 6.62/6.89 (assume a742 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A)) tptp.one_one_nat))))))
% 6.62/6.89 (assume a743 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A)) tptp.one_one_nat))))))
% 6.62/6.89 (assume a744 (forall ((X_1 tptp.int)) (= (= tptp.one_one_int X_1) (= X_1 tptp.one_one_int))))
% 6.62/6.89 (assume a745 (forall ((X_1 tptp.nat)) (= (= tptp.one_one_nat X_1) (= X_1 tptp.one_one_nat))))
% 6.62/6.89 (assume a746 (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc N)) tptp.one_one_nat) N)))
% 6.62/6.89 (assume a747 (forall ((M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) tptp.one_one_nat)) N))))
% 6.62/6.89 (assume a748 (forall ((X_1 tptp.x_a) (F tptp.fun_a_fun_a_a) (F_1 tptp.fun_fun_a_bool_a)) (=> (tptp.hBOOL (tptp.finite_folding_one_a F F_1)) (= (tptp.hAPP_fun_a_bool_a F_1 (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool)) X_1))))
% 6.62/6.89 (assume a749 (forall ((X_1 tptp.nat) (F tptp.fun_nat_fun_nat_nat) (F_1 tptp.fun_fun_nat_bool_nat)) (=> (tptp.hBOOL (tptp.finite988810631ne_nat F F_1)) (= (tptp.hAPP_f22106695ol_nat F_1 (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool)) X_1))))
% 6.62/6.89 (assume a750 (forall ((X_1 tptp.int) (F tptp.fun_int_fun_int_int) (F_1 tptp.fun_fun_int_bool_int)) (=> (tptp.hBOOL (tptp.finite1626084323ne_int F F_1)) (= (tptp.hAPP_f1594865479ol_int F_1 (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool)) X_1))))
% 6.62/6.89 (assume a751 (forall ((B tptp.fun_a_bool) (A_2 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) A)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a A_2) B))) (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a A_2) B))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) B))) tptp.one_one_nat)))))))
% 6.62/6.89 (assume a752 (forall ((B tptp.fun_int_bool) (A_2 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_2) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_2) B))) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int A_2) B))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) B))) tptp.one_one_nat)))))))
% 6.62/6.89 (assume a753 (forall ((B tptp.fun_nat_bool) (A_2 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A_2) B))) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat A_2) B))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) B))) tptp.one_one_nat)))))))
% 6.62/6.89 (assume a754 (forall ((B tptp.fun_pname_bool) (A_2 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname A_2) B))) (= (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname A_2) B))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) B))) tptp.one_one_nat)))))))
% 6.62/6.89 (assume a755 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (F tptp.fun_a_fun_a_a) (F_1 tptp.fun_fun_a_bool_a)) (=> (tptp.hBOOL (tptp.finite_folding_one_a F F_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A))) (=> (not (= A tptp.bot_bot_fun_a_bool)) (= (tptp.hAPP_fun_a_bool_a F_1 (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) (tptp.hAPP_a_a (tptp.hAPP_a_fun_a_a F X_1) (tptp.hAPP_fun_a_bool_a F_1 A)))))))))
% 6.62/6.89 (assume a756 (forall ((X_1 tptp.int) (A tptp.fun_int_bool) (F tptp.fun_int_fun_int_int) (F_1 tptp.fun_fun_int_bool_int)) (=> (tptp.hBOOL (tptp.finite1626084323ne_int F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A))) (=> (not (= A tptp.bot_bot_fun_int_bool)) (= (tptp.hAPP_f1594865479ol_int F_1 (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int F X_1) (tptp.hAPP_f1594865479ol_int F_1 A)))))))))
% 6.62/6.89 (assume a757 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool) (F tptp.fun_nat_fun_nat_nat) (F_1 tptp.fun_fun_nat_bool_nat)) (=> (tptp.hBOOL (tptp.finite988810631ne_nat F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A))) (=> (not (= A tptp.bot_bot_fun_nat_bool)) (= (tptp.hAPP_f22106695ol_nat F_1 (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat F X_1) (tptp.hAPP_f22106695ol_nat F_1 A)))))))))
% 6.62/6.89 (assume a758 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (F_1 tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite1282449217_pname F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (=> (not (= A tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_f1297739591_pname F_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_1) (tptp.hAPP_f1297739591_pname F_1 A)))))))))
% 6.62/6.89 (assume a759 (forall ((A tptp.fun_a_bool) (F tptp.fun_a_fun_a_a) (F_1 tptp.fun_fun_a_bool_a)) (=> (tptp.hBOOL (tptp.finite_folding_one_a F F_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (=> (not (= A tptp.bot_bot_fun_a_bool)) (=> (forall ((X_2 tptp.x_a) (Y_2 tptp.x_a)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_a_a (tptp.hAPP_a_fun_a_a F X_2) Y_2)) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_2) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a Y_2) tptp.bot_bot_fun_a_bool))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_fun_a_bool_a F_1 A)) A))))))))
% 6.62/6.89 (assume a760 (forall ((A tptp.fun_int_bool) (F tptp.fun_int_fun_int_int) (F_1 tptp.fun_fun_int_bool_int)) (=> (tptp.hBOOL (tptp.finite1626084323ne_int F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (not (= A tptp.bot_bot_fun_int_bool)) (=> (forall ((X_2 tptp.int) (Y_2 tptp.int)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int F X_2) Y_2)) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_2) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int Y_2) tptp.bot_bot_fun_int_bool))))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_f1594865479ol_int F_1 A)) A))))))))
% 6.62/6.89 (assume a761 (forall ((A tptp.fun_nat_bool) (F tptp.fun_nat_fun_nat_nat) (F_1 tptp.fun_fun_nat_bool_nat)) (=> (tptp.hBOOL (tptp.finite988810631ne_nat F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (not (= A tptp.bot_bot_fun_nat_bool)) (=> (forall ((X_2 tptp.nat) (Y_2 tptp.nat)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat F X_2) Y_2)) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_2) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat Y_2) tptp.bot_bot_fun_nat_bool))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_f22106695ol_nat F_1 A)) A))))))))
% 6.62/6.89 (assume a762 (forall ((A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (F_1 tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite1282449217_pname F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (not (= A tptp.bot_bo844097828e_bool)) (=> (forall ((X_2 tptp.pname) (Y_2 tptp.pname)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_2) Y_2)) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_2) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname Y_2) tptp.bot_bo844097828e_bool))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname (tptp.hAPP_f1297739591_pname F_1 A)) A))))))))
% 6.62/6.89 (assume a763 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) A)) (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a A) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool)))))))))
% 6.62/6.89 (assume a764 (forall ((X_1 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool)))))))))
% 6.62/6.89 (assume a765 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool)))))))))
% 6.62/6.89 (assume a766 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (= (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname A) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool)))))))))
% 6.62/6.89 (assume a767 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.hAPP_f2050579477a_bool (tptp.hAPP_f1791771145a_bool tptp.minus_1762468890a_bool A) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) tptp.bot_bot_fun_a_bool))))))))
% 6.62/6.89 (assume a768 (forall ((X_1 tptp.int) (A tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f1223193598t_bool tptp.minus_1449998731t_bool A) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) tptp.bot_bot_fun_int_bool))))))))
% 6.62/6.89 (assume a769 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1730770594t_bool tptp.minus_2067140911t_bool A) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) tptp.bot_bot_fun_nat_bool))))))))
% 6.62/6.89 (assume a770 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (= (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.hAPP_f759274231e_bool (tptp.hAPP_f1388330588e_bool tptp.minus_1015773161e_bool A) (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) tptp.bot_bo844097828e_bool))))))))
% 6.62/6.89 (assume a771 (forall ((B tptp.fun_int_bool) (A tptp.fun_int_bool) (F tptp.fun_int_fun_int_int) (F_1 tptp.fun_fun_int_bool_int)) (=> (tptp.hBOOL (tptp.finite1432773856em_int F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (not (= B tptp.bot_bot_fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B) A)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int F (tptp.hAPP_f1594865479ol_int F_1 B)) (tptp.hAPP_f1594865479ol_int F_1 A)) (tptp.hAPP_f1594865479ol_int F_1 A))))))))
% 6.62/6.89 (assume a772 (forall ((B tptp.fun_nat_bool) (A tptp.fun_nat_bool) (F tptp.fun_nat_fun_nat_nat) (F_1 tptp.fun_fun_nat_bool_nat)) (=> (tptp.hBOOL (tptp.finite795500164em_nat F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (not (= B tptp.bot_bot_fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B) A)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat F (tptp.hAPP_f22106695ol_nat F_1 B)) (tptp.hAPP_f22106695ol_nat F_1 A)) (tptp.hAPP_f22106695ol_nat F_1 A))))))))
% 6.62/6.89 (assume a773 (forall ((B tptp.fun_pname_bool) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (F_1 tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite89670078_pname F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (not (= B tptp.bot_bo844097828e_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool B) A)) (= (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F (tptp.hAPP_f1297739591_pname F_1 B)) (tptp.hAPP_f1297739591_pname F_1 A)) (tptp.hAPP_f1297739591_pname F_1 A))))))))
% 6.62/6.89 (assume a774 (forall ((B tptp.fun_a_bool) (A tptp.fun_a_bool) (F tptp.fun_a_fun_a_a) (F_1 tptp.fun_fun_a_bool_a)) (=> (tptp.hBOOL (tptp.finite1819937229idem_a F F_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (=> (not (= B tptp.bot_bot_fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool B) A)) (= (tptp.hAPP_a_a (tptp.hAPP_a_fun_a_a F (tptp.hAPP_fun_a_bool_a F_1 B)) (tptp.hAPP_fun_a_bool_a F_1 A)) (tptp.hAPP_fun_a_bool_a F_1 A))))))))
% 6.62/6.89 (assume a775 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (F tptp.fun_a_fun_a_a) (F_1 tptp.fun_fun_a_bool_a)) (=> (tptp.hBOOL (tptp.finite1819937229idem_a F F_1)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a A)) (=> (not (= A tptp.bot_bot_fun_a_bool)) (= (tptp.hAPP_fun_a_bool_a F_1 (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) (tptp.hAPP_a_a (tptp.hAPP_a_fun_a_a F X_1) (tptp.hAPP_fun_a_bool_a F_1 A))))))))
% 6.62/6.89 (assume a776 (forall ((X_1 tptp.int) (A tptp.fun_int_bool) (F tptp.fun_int_fun_int_int) (F_1 tptp.fun_fun_int_bool_int)) (=> (tptp.hBOOL (tptp.finite1432773856em_int F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (=> (not (= A tptp.bot_bot_fun_int_bool)) (= (tptp.hAPP_f1594865479ol_int F_1 (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_1) A)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int F X_1) (tptp.hAPP_f1594865479ol_int F_1 A))))))))
% 6.62/6.89 (assume a777 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool) (F tptp.fun_nat_fun_nat_nat) (F_1 tptp.fun_fun_nat_bool_nat)) (=> (tptp.hBOOL (tptp.finite795500164em_nat F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (=> (not (= A tptp.bot_bot_fun_nat_bool)) (= (tptp.hAPP_f22106695ol_nat F_1 (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_1) A)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat F X_1) (tptp.hAPP_f22106695ol_nat F_1 A))))))))
% 6.62/6.89 (assume a778 (forall ((X_1 tptp.pname) (A tptp.fun_pname_bool) (F tptp.fun_pn1208287926_pname) (F_1 tptp.fun_fu1499449723_pname)) (=> (tptp.hBOOL (tptp.finite89670078_pname F F_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname A)) (=> (not (= A tptp.bot_bo844097828e_bool)) (= (tptp.hAPP_f1297739591_pname F_1 (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_1) A)) (tptp.hAPP_pname_pname (tptp.hAPP_p1170154830_pname F X_1) (tptp.hAPP_f1297739591_pname F_1 A))))))))
% 6.62/6.89 (assume a779 (forall ((Pa tptp.fun_fun_a_bool_bool) (F_1 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a F_1)) (=> (not (= F_1 tptp.bot_bot_fun_a_bool)) (=> (forall ((X_2 tptp.x_a)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_2) tptp.bot_bot_fun_a_bool)))) (=> (forall ((X_2 tptp.x_a) (F_2 tptp.fun_a_bool)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a F_2)) (=> (not (= F_2 tptp.bot_bot_fun_a_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_2) F_2)))))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool Pa F_1))))))))
% 6.62/6.89 (assume a780 (forall ((Pa tptp.fun_fu819804446l_bool) (F_1 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int F_1)) (=> (not (= F_1 tptp.bot_bot_fun_int_bool)) (=> (forall ((X_2 tptp.int)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_2) tptp.bot_bot_fun_int_bool)))) (=> (forall ((X_2 tptp.int) (F_2 tptp.fun_int_bool)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int F_2)) (=> (not (= F_2 tptp.bot_bot_fun_int_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool tptp.insert_int X_2) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool Pa F_1))))))))
% 6.62/6.89 (assume a781 (forall ((Pa tptp.fun_fu425979586l_bool) (F_1 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_1)) (=> (not (= F_1 tptp.bot_bot_fun_nat_bool)) (=> (forall ((X_2 tptp.nat)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_2) tptp.bot_bot_fun_nat_bool)))) (=> (forall ((X_2 tptp.nat) (F_2 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat F_2)) (=> (not (= F_2 tptp.bot_bot_fun_nat_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool tptp.insert_nat X_2) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool Pa F_1))))))))
% 6.62/6.89 (assume a782 (forall ((Pa tptp.fun_fu1430349052l_bool) (F_1 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_1)) (=> (not (= F_1 tptp.bot_bo844097828e_bool)) (=> (forall ((X_2 tptp.pname)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_2) tptp.bot_bo844097828e_bool)))) (=> (forall ((X_2 tptp.pname) (F_2 tptp.fun_pname_bool)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname F_2)) (=> (not (= F_2 tptp.bot_bo844097828e_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_2) F_2))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa F_2)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa (tptp.hAPP_f759274231e_bool (tptp.hAPP_p905327722e_bool tptp.insert_pname X_2) F_2)))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool Pa F_1))))))))
% 6.62/6.89 (assume a783 (forall ((X_3 tptp.fun_a_bool)) (= (tptp.hAPP_fun_a_bool_a tptp.the_elem_a X_3) (tptp.hAPP_fun_a_bool_a tptp.the_a (tptp.cOMBB_1273333599bool_a (tptp.hAPP_f1631501043l_bool tptp.fequal_fun_a_bool X_3) (tptp.hAPP_f1038053735a_bool (tptp.cOMBC_394484100a_bool tptp.insert_a) tptp.bot_bot_fun_a_bool))))))
% 6.62/6.89 (assume a784 (forall ((X_3 tptp.fun_nat_bool)) (= (tptp.hAPP_f22106695ol_nat tptp.the_elem_nat X_3) (tptp.hAPP_f22106695ol_nat tptp.the_nat (tptp.cOMBB_955900739ol_nat (tptp.hAPP_f103356543l_bool tptp.fequal_fun_nat_bool X_3) (tptp.hAPP_f1570313510t_bool (tptp.cOMBC_178881787t_bool tptp.insert_nat) tptp.bot_bot_fun_nat_bool))))))
% 6.62/6.89 (assume a785 (forall ((X_3 tptp.fun_int_bool)) (= (tptp.hAPP_f1594865479ol_int tptp.the_elem_int X_3) (tptp.hAPP_f1594865479ol_int tptp.the_int (tptp.cOMBB_1418110531ol_int (tptp.hAPP_f284875647l_bool tptp.fequal_fun_int_bool X_3) (tptp.hAPP_f1048215610t_bool (tptp.cOMBC_1683390479t_bool tptp.insert_int) tptp.bot_bot_fun_int_bool))))))
% 6.62/6.89 (assume a786 (forall ((A_13 tptp.int) (B_14 tptp.int) (C_10 tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_13) B_14)) C_10) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_13) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_14) C_10)))))
% 6.62/6.89 (assume a787 (forall ((A_13 tptp.nat) (B_14 tptp.nat) (C_10 tptp.nat)) (= (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_13) B_14)) C_10) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_13) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_14) C_10)))))
% 6.62/6.89 (assume a788 (forall ((A_2 tptp.int) (B_3 tptp.int) (C_6 tptp.int)) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_2) B_3) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_2) C_6)) (= B_3 C_6))))
% 6.62/6.89 (assume a789 (forall ((A_2 tptp.nat) (B_3 tptp.nat) (C_6 tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_2) B_3) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_2) C_6)) (= B_3 C_6))))
% 6.62/6.89 (assume a790 (forall ((B_3 tptp.int) (A_2 tptp.int) (C_6 tptp.int)) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_3) A_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_6) A_2)) (= B_3 C_6))))
% 6.62/6.89 (assume a791 (forall ((B_3 tptp.nat) (A_2 tptp.nat) (C_6 tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_3) A_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_6) A_2)) (= B_3 C_6))))
% 6.62/6.89 (assume a792 (forall ((A_12 tptp.int) (B_13 tptp.int) (C_9 tptp.int)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_12) B_13) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_12) C_9)) (= B_13 C_9))))
% 6.62/6.89 (assume a793 (forall ((A_12 tptp.nat) (B_13 tptp.nat) (C_9 tptp.nat)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_12) B_13) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_12) C_9)) (= B_13 C_9))))
% 6.62/6.89 (assume a794 (forall ((A_11 tptp.int) (B_12 tptp.int) (C_8 tptp.int)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_11) B_12) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_11) C_8)) (= B_12 C_8))))
% 6.62/6.89 (assume a795 (forall ((A_11 tptp.nat) (B_12 tptp.nat) (C_8 tptp.nat)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_11) B_12) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_11) C_8)) (= B_12 C_8))))
% 6.62/6.89 (assume a796 (forall ((B_11 tptp.int) (A_10 tptp.int) (C_7 tptp.int)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_11) A_10) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_7) A_10)) (= B_11 C_7))))
% 6.62/6.89 (assume a797 (forall ((B_11 tptp.nat) (A_10 tptp.nat) (C_7 tptp.nat)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_11) A_10) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_7) A_10)) (= B_11 C_7))))
% 6.62/6.89 (assume a798 (forall ((M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) M_1))))
% 6.62/6.89 (assume a799 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (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)))))
% 6.62/6.89 (assume a800 (forall ((M_1 tptp.nat) (N tptp.nat) (K_1 tptp.nat)) (= (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_1) N)) K_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) K_1)))))
% 6.62/6.89 (assume a801 (forall ((K tptp.nat) (M tptp.nat) (Na tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K) M) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K) Na)) (= M Na))))
% 6.62/6.89 (assume a802 (forall ((M tptp.nat) (K tptp.nat) (Na tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) K) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Na) K)) (= M Na))))
% 6.62/6.89 (assume a803 (forall ((A_2 tptp.int) (C_6 tptp.int) (B_3 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_2) C_6)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_3) C_6))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_2) B_3)))))
% 6.62/6.89 (assume a804 (forall ((A_2 tptp.nat) (C_6 tptp.nat) (B_3 tptp.nat)) (= (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_2) C_6)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_3) C_6))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_2) B_3)))))
% 6.62/6.89 (assume a805 (forall ((C_6 tptp.int) (A_2 tptp.int) (B_3 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_6) A_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_6) B_3))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_2) B_3)))))
% 6.62/6.89 (assume a806 (forall ((C_6 tptp.nat) (A_2 tptp.nat) (B_3 tptp.nat)) (= (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_6) A_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_6) B_3))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_2) B_3)))))
% 6.62/6.89 (assume a807 (forall ((C_5 tptp.int) (A_9 tptp.int) (B_10 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_9) B_10)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_9) C_5)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_10) C_5))))))
% 6.62/6.89 (assume a808 (forall ((C_5 tptp.nat) (A_9 tptp.nat) (B_10 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_9) B_10)) (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_5)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_10) C_5))))))
% 6.62/6.89 (assume a809 (forall ((C_4 tptp.int) (A_8 tptp.int) (B_9 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_8) B_9)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_4) A_8)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_4) B_9))))))
% 6.62/6.89 (assume a810 (forall ((C_4 tptp.nat) (A_8 tptp.nat) (B_9 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_8) B_9)) (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_4) A_8)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_4) B_9))))))
% 6.62/6.89 (assume a811 (forall ((C_3 tptp.int) (D_3 tptp.int) (A_7 tptp.int) (B_8 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_7) B_8)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C_3) D_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_7) C_3)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_8) D_3)))))))
% 6.62/6.89 (assume a812 (forall ((C_3 tptp.nat) (D_3 tptp.nat) (A_7 tptp.nat) (B_8 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_7) B_8)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_3) D_3)) (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_3)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_8) D_3)))))))
% 6.62/6.89 (assume a813 (forall ((A_6 tptp.int) (C_2 tptp.int) (B_7 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_6) C_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_7) C_2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_6) B_7)))))
% 6.62/6.89 (assume a814 (forall ((A_6 tptp.nat) (C_2 tptp.nat) (B_7 tptp.nat)) (=> (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_6) C_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_7) C_2))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_6) B_7)))))
% 6.62/6.89 (assume a815 (forall ((C_1 tptp.int) (A_5 tptp.int) (B_6 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_1) A_5)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_1) B_6))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_5) B_6)))))
% 6.62/6.89 (assume a816 (forall ((C_1 tptp.nat) (A_5 tptp.nat) (B_6 tptp.nat)) (=> (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_1) A_5)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_1) B_6))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_5) B_6)))))
% 6.62/6.89 (assume a817 (forall ((A_4 tptp.int) (B_5 tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_4) B_5)) B_5) A_4)))
% 6.62/6.89 (assume a818 (forall ((A_3 tptp.int) (B_4 tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_3) B_4)) B_4) A_3)))
% 6.62/6.89 (assume a819 (forall ((M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) N)))))
% 6.62/6.89 (assume a820 (forall ((M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.suc M_1)) N) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) N)))))
% 6.62/6.89 (assume a821 (forall ((M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.suc M_1)) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) (tptp.hAPP_nat_nat tptp.suc N)))))
% 6.62/6.89 (assume a822 (forall ((N tptp.nat) (M_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) N)))))
% 6.62/6.89 (assume a823 (forall ((N tptp.nat) (M_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) M_1)))))
% 6.62/6.89 (assume a824 (forall ((M tptp.nat) (Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na)) (exists ((K_2 tptp.nat)) (= Na (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) K_2))))))
% 6.62/6.89 (assume a825 (forall ((K tptp.nat) (M tptp.nat) (Na tptp.nat)) (= (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)) (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) Na)))))
% 6.62/6.89 (assume a826 (forall ((M_1 tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J) M_1))))))
% 6.62/6.89 (assume a827 (forall ((M_1 tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) J))))))
% 6.62/6.89 (assume a828 (forall ((K_1 tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J)) (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_1) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J) K_1))))))
% 6.62/6.89 (assume a829 (forall ((K_1 tptp.nat) (L_1 tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) L_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 I_1) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J) L_1)))))))
% 6.62/6.89 (assume a830 (forall ((M_1 tptp.nat) (K_1 tptp.nat) (N tptp.nat)) (=> (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_1) K_1)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) N)))))
% 6.62/6.89 (assume a831 (forall ((M_1 tptp.nat) (K_1 tptp.nat) (N tptp.nat)) (=> (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_1) K_1)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N)))))
% 6.62/6.89 (assume a832 (forall ((M_1 tptp.nat) (K_1 tptp.nat) (N tptp.nat)) (=> (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_1) K_1)) N)) (not (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) N))))))))
% 6.62/6.89 (assume a833 (forall ((M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) N)) N) M_1)))
% 6.62/6.89 (assume a834 (forall ((N tptp.nat) (M_1 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) M_1)) N) M_1)))
% 6.62/6.89 (assume a835 (forall ((I_1 tptp.nat) (J tptp.nat) (K_1 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I_1) J)) K_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J) K_1)))))
% 6.62/6.89 (assume a836 (forall ((K_1 tptp.nat) (M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K_1) M_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K_1) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) N))))
% 6.62/6.89 (assume a837 (forall ((M_1 tptp.nat) (K_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) N))))
% 6.62/6.89 (assume a838 (forall ((I_1 tptp.nat) (K_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) J)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_1) K_1)) J)))))
% 6.62/6.89 (assume a839 (forall ((J_1 tptp.nat) (K tptp.nat) (I_2 tptp.nat)) (= (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.minus_minus_nat J_1) K)) I_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_2) K))))))
% 6.62/6.89 (assume a840 (forall ((M_1 tptp.nat) (K_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) M_1)) K_1))))))
% 6.62/6.89 (assume a841 (forall ((N tptp.nat) (M_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M_1)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) N)) M_1))))
% 6.62/6.89 (assume a842 (forall ((I_1 tptp.nat) (K_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) J)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_1) J)) K_1)))))
% 6.62/6.89 (assume a843 (forall ((I_2 tptp.nat) (K tptp.nat) (J_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) J_1)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J_1) K))) (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_2) K)) J_1))))))
% 6.62/6.89 (assume a844 (forall ((N tptp.nat) (M_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M_1)) (= (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.minus_minus_nat M_1) N)) N) M_1))))
% 6.62/6.89 (assume a845 (forall ((K tptp.nat) (I_2 tptp.nat) (J_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) J_1)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J_1) I_2) K) (= J_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K) I_2))))))
% 6.62/6.89 (assume a846 (forall ((I_1 tptp.nat) (K_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) J)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_1) J)) K_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J) K_1))))))
% 6.62/6.89 (assume a847 (forall ((I_1 tptp.nat) (K_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) J)) (= (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.minus_minus_nat J) K_1)) I_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J) I_1)) K_1)))))
% 6.62/6.89 (assume a848 (forall ((I_1 tptp.nat) (K_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) J)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J) I_1)) K_1) (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.minus_minus_nat J) K_1)) I_1)))))
% 6.62/6.89 (assume a849 (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat tptp.suc N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) N))))
% 6.62/6.89 (assume a850 (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat tptp.suc N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))
% 6.62/6.89 (assume a851 (forall ((M_1 tptp.nat) (K_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) J)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J) K_1))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) K_1)) (tptp.hAPP_nat_nat tptp.suc J))))))
% 6.62/6.89 (assume a852 (forall ((M_1 tptp.nat) (K_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) J)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J) K_1))) M_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc J)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K_1) M_1))))))
% 6.62/6.89 (assume a853 (forall ((Y tptp.nat) (X tptp.nat) (Z tptp.nat)) (=> (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))))))
% 6.62/6.89 (assume a854 (forall ((Z tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (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))))))
% 6.62/6.89 (assume a855 (forall ((N tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.hAPP_nat_nat tptp.suc N)))))
% 6.62/6.89 (assume a856 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M_1)) (tptp.hAPP_nat_nat tptp.suc N))))))
% 6.62/6.89 (assume a857 (forall ((K tptp.nat)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) K))))))
% 6.62/6.89 (assume a858 (forall ((N tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) N)))))
% 6.62/6.89 (assume a859 (forall ((M tptp.nat) (Na tptp.nat)) (= (not (= M Na)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) M))))))
% 6.62/6.89 (assume a860 (forall ((X tptp.nat) (Y tptp.nat)) (=> (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))))))
% 6.62/6.89 (assume a861 (forall ((N tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) N)))))
% 6.62/6.89 (assume a862 (forall ((N tptp.nat) (M_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) M_1)) (not (= M_1 N)))))
% 6.62/6.89 (assume a863 (forall ((S tptp.nat) (T tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat S) T)) (not (= S T)))))
% 6.62/6.89 (assume a864 (forall ((Pa tptp.fun_nat_fun_nat_bool) (M tptp.nat) (Na tptp.nat)) (=> (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool Pa Na) M))) (=> (=> (= M Na) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool Pa Na) M))) (=> (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) M)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool Pa Na) M))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool Pa Na) M)))))))
% 6.62/6.89 (assume a865 (forall ((M tptp.nat) (Na tptp.nat)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc M))))))
% 6.62/6.89 (assume a866 (forall ((M tptp.nat) (Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) (tptp.hAPP_nat_nat tptp.suc Na))) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na)) (= M Na)))))
% 6.62/6.89 (assume a867 (forall ((M tptp.nat) (Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M)) (tptp.hAPP_nat_nat tptp.suc Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na)))))
% 6.62/6.89 (assume a868 (forall ((Na tptp.nat) (M tptp.nat)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) M))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc M))) (= Na M)))))
% 6.62/6.89 (assume a869 (forall ((N tptp.nat) (M_1 tptp.nat)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) M_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.hAPP_nat_nat tptp.suc M_1))) (= M_1 N)))))
% 6.62/6.90 (assume a870 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) (tptp.hAPP_nat_nat tptp.suc N))))))
% 6.62/6.90 (assume a871 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N)) (=> (not (= (tptp.hAPP_nat_nat tptp.suc M_1) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M_1)) N))))))
% 6.62/6.90 (assume a872 (forall ((K_1 tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J) K_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc I_1)) K_1))))))
% 6.62/6.90 (assume a873 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) (tptp.hAPP_nat_nat tptp.suc N))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N))) (= M_1 N)))))
% 6.62/6.90 (assume a874 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M_1)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N)))))
% 6.62/6.90 (assume a875 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M_1)) (tptp.hAPP_nat_nat tptp.suc N))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N)))))
% 6.62/6.90 (assume a876 (forall ((I_1 tptp.nat) (J tptp.nat)) (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_1) J)) I_1)))))
% 6.62/6.90 (assume a877 (forall ((J tptp.nat) (I_1 tptp.nat)) (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) I_1)) I_1)))))
% 6.62/6.90 (assume a878 (forall ((K tptp.nat) (M tptp.nat) (Na tptp.nat)) (= (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)) (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) Na)))))
% 6.62/6.90 (assume a879 (forall ((M_1 tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) J)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J) M_1))))))
% 6.62/6.90 (assume a880 (forall ((M_1 tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) J)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) J))))))
% 6.62/6.90 (assume a881 (forall ((K_1 tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) J)) (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_1) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J) K_1))))))
% 6.62/6.90 (assume a882 (forall ((K_1 tptp.nat) (L_1 tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K_1) L_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 I_1) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J) L_1)))))))
% 6.62/6.90 (assume a883 (forall ((M_1 tptp.nat) (N tptp.nat) (K_1 tptp.nat) (L_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K_1) L_1)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) L_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K_1) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N))))))
% 6.62/6.90 (assume a884 (forall ((I_1 tptp.nat) (J tptp.nat) (K_1 tptp.nat)) (=> (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_1) J)) K_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) K_1)))))
% 6.62/6.90 (assume a885 (forall ((Z tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (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))))))
% 6.62/6.90 (assume a886 (forall ((Y tptp.nat) (X tptp.nat) (Z tptp.nat)) (=> (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))))))
% 6.62/6.90 (assume a887 (forall ((M tptp.nat) (Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na)) (not (= M Na))))))
% 6.62/6.90 (assume a888 (forall ((M tptp.nat) (Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na)) (= M Na)))))
% 6.62/6.90 (assume a889 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N)))))
% 6.62/6.90 (assume a890 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N)) (=> (not (= M_1 N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N))))))
% 6.62/6.90 (assume a891 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N)) (= M_1 N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N)))))
% 6.62/6.90 (assume a892 (forall ((X tptp.nat) (Y tptp.nat)) (=> (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)))))
% 6.62/6.90 (assume a893 (forall ((N tptp.nat) (J tptp.nat) (K_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J) K_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.minus_minus_nat J) N)) K_1)))))
% 6.62/6.90 (assume a894 (forall ((L_1 tptp.nat) (M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) L_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.minus_minus_nat L_1) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat L_1) M_1)))))))
% 6.62/6.90 (assume a895 (forall ((N_2 tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat N_2)) (exists ((M_2 tptp.nat)) (forall ((X_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) N_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) M_2))))))))
% 6.62/6.90 (assume a896 (forall ((Na tptp.nat)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) Na))) Na)))
% 6.62/6.90 (assume a897 (forall ((Pa tptp.fun_nat_bool) (I_2 tptp.nat)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj Pa) (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) I_2)))))))
% 6.62/6.90 (assume a898 (forall ((I_1 tptp.nat) (M_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_1) M_1))))))
% 6.62/6.90 (assume a899 (forall ((I_1 tptp.nat) (M_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) I_1))))))
% 6.62/6.90 (assume a900 (forall ((M tptp.nat) (Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na)) (exists ((K_2 tptp.nat)) (= Na (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) K_2)))))))
% 6.62/6.90 (assume a901 (forall ((Na tptp.nat) (M tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) M)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Na)) M)))))
% 6.62/6.90 (assume a902 (forall ((M tptp.nat) (Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) (tptp.hAPP_nat_nat tptp.suc Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na)))))
% 6.62/6.90 (assume a903 (forall ((M tptp.nat) (Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M)) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na)))))
% 6.62/6.90 (assume a904 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) (tptp.hAPP_nat_nat tptp.suc N))))))
% 6.62/6.90 (assume a905 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_1)) N)))))
% 6.62/6.90 (assume a906 (forall ((M tptp.nat) (Na tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc M))) (= Na M)))))
% 6.62/6.90 (assume a907 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M_1)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N)))))
% 6.62/6.90 (assume a908 (forall ((M_1 tptp.nat) (N tptp.nat)) (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.minus_minus_nat M_1) N)) (tptp.hAPP_nat_nat tptp.suc M_1)))))
% 6.62/6.90 (assume a909 (forall ((I_2 tptp.nat) (J_1 tptp.nat) (K tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J_1) K))) (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_2) K)) J_1)))))
% 6.62/6.90 (assume a910 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) N)) M_1))))
% 6.62/6.90 (assume a911 (forall ((C tptp.nat) (A_1 tptp.nat) (B_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_1) B_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C) A_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.minus_minus_nat A_1) C)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat B_2) C)))))))
% 6.62/6.90 (assume a912 (forall ((Na tptp.nat) (K tptp.nat) (M tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) Na)) (= (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.minus_minus_nat M) K)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) K))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na)))))))
% 6.62/6.90 (assume a913 (forall ((X_2 tptp.nat)) (= (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc X_2)))))
% 6.62/6.90 (assume a914 (forall ((M tptp.nat) (K tptp.nat) (F tptp.fun_nat_nat)) (=> (forall ((M_2 tptp.nat) (N_1 tptp.nat)) (=> (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 F M_2)) (tptp.hAPP_nat_nat F N_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 (tptp.hAPP_nat_nat F M)) K)) (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) K)))))))
% 6.62/6.90 (assume a915 (forall ((Pa tptp.fun_nat_bool) (I_2 tptp.nat) (J_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) J_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa J_1)) (=> (forall ((I tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc I))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa I))))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa I_2)))))))
% 6.62/6.90 (assume a916 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N)) (exists ((K_2 tptp.nat)) (= N (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) K_2)))))))
% 6.62/6.90 (assume a917 (forall ((Na tptp.nat) (N_2 tptp.fun_nat_bool)) (=> (forall ((X_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) N_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_2) Na)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat N_2)))))
% 6.62/6.90 (assume a918 (forall ((I_2 tptp.nat) (J_1 tptp.nat) (F tptp.fun_nat_nat)) (=> (forall ((I tptp.nat) (J_2 tptp.nat)) (=> (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 F I)) (tptp.hAPP_nat_nat F J_2))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat F I_2)) (tptp.hAPP_nat_nat F J_1)))))))
% 6.62/6.90 (assume a919 (forall ((I_1 tptp.nat) (K_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) K_1)) (=> (not (= K_1 (tptp.hAPP_nat_nat tptp.suc I_1))) (not (forall ((J_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) J_2)) (not (= K_1 (tptp.hAPP_nat_nat tptp.suc J_2))))))))))
% 6.62/6.90 (assume a920 (forall ((I_1 tptp.nat) (K_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc I_1)) K_1)) (not (forall ((J_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) J_2)) (not (= K_1 (tptp.hAPP_nat_nat tptp.suc J_2)))))))))
% 6.62/6.90 (assume a921 (forall ((N tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))))
% 6.62/6.90 (assume a922 (forall ((N tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N))))
% 6.62/6.90 (assume a923 (forall ((N tptp.nat)) (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)))))
% 6.62/6.90 (assume a924 (forall ((Na tptp.nat)) (= (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))))
% 6.62/6.90 (assume a925 (forall ((N tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N))))
% 6.62/6.90 (assume a926 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) N) tptp.zero_zero_nat) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) M_1) tptp.zero_zero_nat) (= M_1 N)))))
% 6.62/6.90 (assume a927 (forall ((M_1 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) M_1) tptp.zero_zero_nat)))
% 6.62/6.90 (assume a928 (forall ((M_1 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) tptp.zero_zero_nat) M_1)))
% 6.62/6.90 (assume a929 (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)))
% 6.62/6.90 (assume a930 (= tptp.bot_bot_nat tptp.zero_zero_nat))
% 6.62/6.90 (assume a931 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) N) M_1) (= N tptp.zero_zero_nat))))
% 6.62/6.90 (assume a932 (forall ((M tptp.nat) (Na tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) Na) tptp.zero_zero_nat) (and (= M tptp.zero_zero_nat) (= Na tptp.zero_zero_nat)))))
% 6.62/6.90 (assume a933 (forall ((M_1 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) tptp.zero_zero_nat) M_1)))
% 6.62/6.90 (assume a934 (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) N) N)))
% 6.62/6.90 (assume a935 (forall ((N tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 6.62/6.90 (assume a936 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N)) (not (= N tptp.zero_zero_nat)))))
% 6.62/6.90 (assume a937 (forall ((N tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))))
% 6.62/6.90 (assume a938 (forall ((Na tptp.nat)) (= (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)))))
% 6.62/6.90 (assume a939 (forall ((N tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))))
% 6.62/6.90 (assume a940 (forall ((M_1 tptp.nat)) (not (= (tptp.hAPP_nat_nat tptp.suc M_1) tptp.zero_zero_nat))))
% 6.62/6.90 (assume a941 (forall ((M_1 tptp.nat)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc M_1)))))
% 6.62/6.90 (assume a942 (forall ((Nat_2 tptp.nat)) (not (= (tptp.hAPP_nat_nat tptp.suc Nat_2) tptp.zero_zero_nat))))
% 6.62/6.90 (assume a943 (forall ((M_1 tptp.nat)) (not (= (tptp.hAPP_nat_nat tptp.suc M_1) tptp.zero_zero_nat))))
% 6.62/6.90 (assume a944 (forall ((Nat_1 tptp.nat)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc Nat_1)))))
% 6.62/6.90 (assume a945 (forall ((M_1 tptp.nat)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc M_1)))))
% 6.62/6.90 (assume a946 (forall ((Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (exists ((M_2 tptp.nat)) (= Na (tptp.hAPP_nat_nat tptp.suc M_2))))))
% 6.62/6.90 (assume a947 (forall ((Na tptp.nat)) (= (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))))
% 6.62/6.90 (assume a948 (forall ((M tptp.nat) (Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) (tptp.hAPP_nat_nat tptp.suc Na))) (or (= M tptp.zero_zero_nat) (exists ((J_2 tptp.nat)) (and (= M (tptp.hAPP_nat_nat tptp.suc J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J_2) Na))))))))
% 6.62/6.90 (assume a949 (forall ((M tptp.nat) (Na tptp.nat)) (= (= (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) Na)) (or (and (= M (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (= Na tptp.zero_zero_nat)) (and (= M tptp.zero_zero_nat) (= Na (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 6.62/6.90 (assume a950 (forall ((M tptp.nat) (Na tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) Na) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (or (and (= M (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (= Na tptp.zero_zero_nat)) (and (= M tptp.zero_zero_nat) (= Na (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 6.62/6.90 (assume a951 (forall ((M tptp.nat) (Na tptp.nat)) (= (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) Na))) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na))))))
% 6.62/6.90 (assume a952 (forall ((Na tptp.nat) (M tptp.nat)) (= (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.minus_minus_nat Na) M))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na)))))
% 6.62/6.90 (assume a953 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) M_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.minus_minus_nat M_1) N)) M_1))))))
% 6.62/6.90 (assume a954 (forall ((N tptp.nat) (M_1 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) M_1)) tptp.zero_zero_nat)))
% 6.62/6.90 (assume a955 (forall ((M tptp.nat) (Na tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) Na) tptp.zero_zero_nat) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na)))))
% 6.62/6.90 (assume a956 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) N) tptp.zero_zero_nat))))
% 6.62/6.90 (assume a957 (= tptp.one_one_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))
% 6.62/6.90 (assume a958 (forall ((M tptp.nat) (Na tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.hAPP_nat_nat tptp.suc Na)) (tptp.hAPP_nat_nat (tptp.nat_case_nat tptp.zero_zero_nat tptp.cOMBI_nat) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) Na)))))
% 6.62/6.90 (assume a959 (forall ((N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) N))))
% 6.62/6.90 (assume a960 (forall ((I_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (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.minus_minus_nat N) (tptp.hAPP_nat_nat tptp.suc I_1))) N)))))
% 6.62/6.90 (assume a961 (forall ((Pa tptp.fun_nat_bool) (A_2 tptp.nat) (B_3 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat A_2) B_3))) (and (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_2) B_3)) (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat))) (forall ((D_2 tptp.nat)) (=> (= A_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_3) D_2)) (tptp.hBOOL (tptp.hAPP_nat_bool Pa D_2))))))))
% 6.62/6.90 (assume a962 (forall ((Pa tptp.fun_nat_bool) (A_2 tptp.nat) (B_3 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat A_2) B_3))) (not (or (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_2) B_3)) (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat)))) (exists ((D_2 tptp.nat)) (and (= A_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_3) D_2)) (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa D_2))))))))))
% 6.62/6.90 (assume a963 (forall ((I_2 tptp.nat) (M_3 tptp.fun_nat_bool)) (=> (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.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool (tptp.cOMBB_1146692694ol_nat tptp.member_nat tptp.suc)) M_3)) (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) I_2))))) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) M_3)) (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) (tptp.hAPP_nat_nat tptp.suc I_2)))))))))
% 6.62/6.90 (assume a964 (forall ((I_2 tptp.nat) (M_3 tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat tptp.zero_zero_nat) M_3)) (not (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) M_3)) (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) (tptp.hAPP_nat_nat tptp.suc I_2))))) tptp.zero_zero_nat)))))
% 6.62/6.90 (assume a965 (forall ((I_2 tptp.nat) (M_3 tptp.fun_nat_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat tptp.zero_zero_nat) M_3))) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool (tptp.cOMBB_1146692694ol_nat tptp.member_nat tptp.suc)) M_3)) (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) I_2)))) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool tptp.member_nat) M_3)) (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) (tptp.hAPP_nat_nat tptp.suc I_2)))))))))
% 6.62/6.90 (assume a966 (forall ((N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) N))))
% 6.62/6.90 (assume a967 (forall ((N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= N (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))
% 6.62/6.90 (assume a968 (forall ((N tptp.nat) (M_1 tptp.nat)) (and (=> (= M_1 tptp.zero_zero_nat) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) N) N)) (=> (not (= M_1 tptp.zero_zero_nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) N) (tptp.hAPP_nat_nat tptp.suc (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.minus_minus_nat M_1) tptp.one_one_nat)) N)))))))
% 6.62/6.90 (assume a969 (forall ((Na tptp.nat) (Pa tptp.fun_nat_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa Na)) (exists ((K_2 tptp.nat)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K_2) Na)) (forall ((I tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) K_2)) (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa I))))) (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)))))))))
% 6.62/6.90 (assume a970 (forall ((Na tptp.nat) (Pa tptp.fun_nat_bool)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa Na)) (exists ((K_2 tptp.nat)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) Na)) (forall ((I tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) K_2)) (not (tptp.hBOOL (tptp.hAPP_nat_bool Pa I))))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa K_2))))))))
% 6.62/6.90 (assume a971 (forall ((I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) J)) (exists ((K_2 tptp.nat)) (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_1) K_2) J))))))
% 6.62/6.90 (assume a972 (forall ((N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (exists ((M_2 tptp.nat)) (= N (tptp.hAPP_nat_nat tptp.suc M_2))))))
% 6.62/6.90 (assume a973 (forall ((Y tptp.nat)) (=> (not (= Y tptp.zero_zero_nat)) (not (forall ((Nat tptp.nat)) (not (= Y (tptp.hAPP_nat_nat tptp.suc Nat))))))))
% 6.62/6.90 (assume a974 (forall ((Pa tptp.fun_nat_bool) (K tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa K)) (=> (forall ((N_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc N_1))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa N_1)))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat))))))
% 6.62/6.90 (assume a975 (forall ((N tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (exists ((M_2 tptp.nat)) (= N (tptp.hAPP_nat_nat tptp.suc M_2))))))
% 6.62/6.90 (assume a976 (forall ((Na tptp.nat) (Pa tptp.fun_nat_bool)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa tptp.zero_zero_nat)) (=> (forall ((N_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool Pa N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool Pa (tptp.hAPP_nat_nat tptp.suc N_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool Pa Na))))))
% 6.62/6.90 (assume a977 (forall ((V tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.number_number_of_nat V))) (= (tptp.number_number_of_nat V) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.number_number_of_nat V)) tptp.one_one_nat))))))
% 6.62/6.90 (assume a978 (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)))
% 6.62/6.90 (assume a979 (forall ((M_1 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 6.62/6.90 (assume a980 (forall ((M tptp.nat) (Na tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) Na) tptp.zero_zero_nat) (or (= M tptp.zero_zero_nat) (= Na tptp.zero_zero_nat)))))
% 6.62/6.90 (assume a981 (forall ((K tptp.nat) (M tptp.nat) (Na tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K) M) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K) Na)) (or (= M Na) (= K tptp.zero_zero_nat)))))
% 6.62/6.90 (assume a982 (forall ((M tptp.nat) (K tptp.nat) (Na tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) K) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Na) K)) (or (= M Na) (= K tptp.zero_zero_nat)))))
% 6.62/6.90 (assume a983 (forall ((K tptp.nat) (M tptp.nat) (Na tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc K)) M) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc K)) Na)) (= M Na))))
% 6.62/6.90 (assume a984 (forall ((M_1 tptp.nat) (N tptp.nat) (K_1 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) N)) K_1) (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.times_times_nat M_1) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) K_1)))))
% 6.62/6.90 (assume a985 (forall ((K_1 tptp.nat) (M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) N)) (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.times_times_nat K_1) M_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_1) N)))))
% 6.62/6.90 (assume a986 (forall ((K_1 tptp.nat) (L_1 tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) L_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.times_times_nat I_1) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat J) L_1)))))))
% 6.62/6.90 (assume a987 (forall ((K_1 tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J)) (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.times_times_nat K_1) I_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_1) J))))))
% 6.62/6.90 (assume a988 (forall ((K_1 tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J)) (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.times_times_nat I_1) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat J) K_1))))))
% 6.62/6.90 (assume a989 (forall ((M_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) M_1))))))
% 6.62/6.90 (assume a990 (forall ((M_1 tptp.nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) M_1)))))
% 6.62/6.90 (assume a991 (forall ((M_1 tptp.nat) (N tptp.nat) (K_1 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) N)) K_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) K_1)))))
% 6.62/6.90 (assume a992 (forall ((K_1 tptp.nat) (M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_1) M_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_1) N)))))
% 6.62/6.90 (assume a993 (forall ((M tptp.nat) (Na tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) Na) tptp.one_one_nat) (and (= M tptp.one_one_nat) (= Na tptp.one_one_nat)))))
% 6.62/6.90 (assume a994 (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) tptp.one_one_nat) N)))
% 6.62/6.90 (assume a995 (forall ((M tptp.nat) (Na tptp.nat)) (= (= tptp.one_one_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) Na)) (and (= M tptp.one_one_nat) (= Na tptp.one_one_nat)))))
% 6.62/6.90 (assume a996 (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) N) N)))
% 6.62/6.90 (assume a997 (forall ((M tptp.nat) (Na tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) Na) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (and (= M (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (= Na (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))))))
% 6.62/6.90 (assume a998 (forall ((K_1 tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K_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.times_times_nat K_1) I_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_1) J)))))))
% 6.62/6.90 (assume a999 (forall ((K_1 tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K_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.times_times_nat I_1) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat J) K_1)))))))
% 6.62/6.90 (assume a1000 (forall ((M tptp.nat) (K tptp.nat) (Na tptp.nat)) (= (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.times_times_nat M) K)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Na) K))) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na))))))
% 6.62/6.90 (assume a1001 (forall ((K tptp.nat) (M tptp.nat) (Na tptp.nat)) (= (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.times_times_nat K) M)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K) Na))) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na))))))
% 6.62/6.90 (assume a1002 (forall ((M tptp.nat) (Na tptp.nat)) (= (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.times_times_nat M) Na))) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na))))))
% 6.62/6.90 (assume a1003 (forall ((K tptp.nat) (M tptp.nat) (Na tptp.nat)) (= (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.times_times_nat (tptp.hAPP_nat_nat tptp.suc K)) M)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc K)) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na)))))
% 6.62/6.90 (assume a1004 (forall ((M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) N)))))
% 6.62/6.90 (assume a1005 (forall ((M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc M_1)) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) N)))))
% 6.62/6.90 (assume a1006 (forall ((K tptp.nat) (M tptp.nat) (Na tptp.nat)) (= (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.times_times_nat (tptp.hAPP_nat_nat tptp.suc K)) M)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc K)) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na)))))
% 6.62/6.90 (assume a1007 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (= M_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) N)) (or (= N tptp.one_one_nat) (= M_1 tptp.zero_zero_nat)))))
% 6.62/6.90 (assume a1008 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) M_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) N)))))))
% 6.62/6.90 (assume a1009 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) M_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) M_1)))))))
% 6.62/6.90 (assume a1010 (forall ((M_1 tptp.nat) (N tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) M_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) N)))))))
% 6.62/6.90 (assume a1011 (forall ((M tptp.nat) (Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) Na))) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) M)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) Na))))))
% 6.62/6.90 (assume a1012 (forall ((K tptp.nat) (M tptp.nat) (Na tptp.nat)) (= (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.times_times_nat K) M)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K) Na))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na))))))
% 6.62/6.90 (assume a1013 (forall ((M tptp.nat) (K tptp.nat) (Na tptp.nat)) (= (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.times_times_nat M) K)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Na) K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na))))))
% 6.62/6.90 (assume a1014 (forall ((N tptp.nat) (M_1 tptp.nat)) (and (=> (= M_1 tptp.zero_zero_nat) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) N) tptp.zero_zero_nat)) (=> (not (= M_1 tptp.zero_zero_nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) tptp.one_one_nat)) N)))))))
% 6.62/6.90 (assume a1015 (forall ((U tptp.nat) (M tptp.nat) (Na tptp.nat) (I_2 tptp.nat) (J_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) J_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 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I_2) U)) M)) (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.times_times_nat J_1) U)) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) (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.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J_1) I_2)) U)) Na)))))))
% 6.62/6.90 (assume a1016 (forall ((M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) M_1))))
% 6.62/6.90 (assume a1017 (forall ((M_1 tptp.nat) (N tptp.nat) (K_1 tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) N)) K_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) K_1)))))
% 6.62/6.90 (assume a1018 (forall ((K tptp.int) (L tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.number_number_of_int K)) (tptp.number_number_of_int L))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) L)))))
% 6.62/6.90 (assume a1019 (forall ((Z tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int tptp.one_one_int) Z) Z)))
% 6.62/6.90 (assume a1020 (forall ((Z tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z) tptp.one_one_int) Z)))
% 6.62/6.90 (assume a1021 (forall ((Z tptp.int) (W tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z) W) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int W) Z))))
% 6.62/6.90 (assume a1022 (forall ((V tptp.int) (W tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.number_number_of_int V)) (tptp.number_number_of_int W)) (tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V) W)))))
% 6.62/6.90 (assume a1023 (forall ((Z1 tptp.int) (Z2 tptp.int) (Z3 tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z1) Z2)) Z3) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z2) Z3)))))
% 6.62/6.90 (assume a1024 (forall ((K tptp.int) (L tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.number_number_of_int K)) (tptp.number_number_of_int L))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) L)))))
% 6.62/6.90 (assume a1025 (forall ((Z1 tptp.int) (Z2 tptp.int) (W tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Z1) Z2)) W) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z1) W)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z2) W)))))
% 6.62/6.90 (assume a1026 (forall ((W tptp.int) (Z1 tptp.int) (Z2 tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int W) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Z1) Z2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int W) Z1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int W) Z2)))))
% 6.62/6.90 (assume a1027 (forall ((W tptp.int) (Z1 tptp.int) (Z2 tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int W) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z1) Z2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int W) Z1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int W) Z2)))))
% 6.62/6.90 (assume a1028 (forall ((V tptp.int) (W tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.number_number_of_int V)) (tptp.number_number_of_int W)) (tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V) W)))))
% 6.62/6.90 (assume a1029 (forall ((Z1 tptp.int) (Z2 tptp.int) (W tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z1) Z2)) W) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z1) W)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z2) W)))))
% 6.62/6.90 (assume a1030 (forall ((K_1 tptp.int) (I_1 tptp.int) (J tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int I_1) J)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) K_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_1) I_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_1) J)))))))
% 6.62/6.90 (assume a1031 (forall ((Na tptp.int) (M tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) M)) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int M) Na) tptp.one_one_int) (and (= M tptp.one_one_int) (= Na tptp.one_one_int))))))
% 6.62/6.90 (assume a1032 (forall ((Z tptp.int)) (not (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) Z)) Z) tptp.zero_zero_int))))
% 6.62/6.90 (assume a1033 (forall ((Z tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z) tptp.zero_zero_int) Z)))
% 6.62/6.90 (assume a1034 (forall ((Z tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) Z) Z)))
% 6.62/6.90 (assume a1035 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) tptp.one_one_int)))
% 6.62/6.90 (assume a1036 (forall ((Z_2 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.one_one_int) Z_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Z_2)))))
% 6.62/6.90 (assume a1037 (forall ((K tptp.int) (L tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) L)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int K) L)) tptp.zero_zero_int)))))
% 6.62/6.90 (assume a1038 (forall ((Z tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) Z))))))
% 6.62/6.90 (assume a1039 (forall ((Z_2 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) Z_2)) Z_2)) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Z_2) tptp.zero_zero_int)))))
% 6.62/6.90 (assume a1040 (forall ((K_1 tptp.int) (I_1 tptp.int) (J tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int I_1) J)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int K_1) I_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int K_1) J))))))
% 6.62/6.90 (assume a1041 (forall ((Z1 tptp.int) (Z2 tptp.int) (Z3 tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z1) Z2)) Z3) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z2) Z3)))))
% 6.62/6.90 (assume a1042 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Y) Z)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Y) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X) Z)))))
% 6.62/6.90 (assume a1043 (forall ((Z tptp.int) (W tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z) W) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int W) Z))))
% 6.62/6.90 (assume a1044 (forall ((W tptp.int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int W) W))))
% 6.62/6.90 (assume a1045 (forall ((Z tptp.int) (W tptp.int)) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z) W)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int W) Z)))))
% 6.62/6.90 (assume a1046 (forall ((K_1 tptp.int) (I_1 tptp.int) (J tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int I_1) J)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int J) K_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int I_1) K_1))))))
% 6.62/6.90 (assume a1047 (forall ((Z tptp.int) (W tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z) W)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int W) Z)) (= Z W)))))
% 6.62/6.90 (assume a1048 (forall ((W_1 tptp.int) (Z_2 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int W_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Z_2) tptp.one_one_int))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int W_1) Z_2)))))
% 6.62/6.90 (assume a1049 (forall ((X tptp.int) (Y tptp.int)) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X) Y)) (= X Y) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y) X)))))
% 6.62/6.90 (assume a1050 (forall ((Z_2 tptp.int) (W_1 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Z_2) W_1)) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z_2) W_1)) (not (= Z_2 W_1))))))
% 6.62/6.90 (assume a1051 (forall ((K_1 tptp.int) (I_1 tptp.int) (J tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int I_1) J)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int I_1) K_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int J) K_1))))))
% 6.62/6.90 (assume a1052 (forall ((Z_4 tptp.int) (Z tptp.int) (W_2 tptp.int) (W tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int W_2) W)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z_4) Z)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int W_2) Z_4)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int W) Z)))))))
% 6.62/6.90 (assume a1053 (forall ((W_1 tptp.int) (Z_2 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int W_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z_2) tptp.one_one_int))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int W_1) Z_2)))))
% 6.62/6.90 (assume a1054 (forall ((W_1 tptp.int) (Z_2 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int W_1) tptp.one_one_int)) Z_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int W_1) Z_2)))))
% 6.62/6.90 (assume a1055 (forall ((W tptp.int) (Z tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int W) Z)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int W) tptp.one_one_int)) Z)))))
% 6.62/6.90 (assume a1056 (forall ((W_1 tptp.int) (Z_2 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int W_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z_2) tptp.one_one_int))) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int W_1) Z_2)) (= W_1 Z_2)))))
% 6.62/6.90 (assume a1057 (forall ((K tptp.nat) (M tptp.nat) (Na tptp.nat)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K) M) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K) Na)) (or (= K tptp.zero_zero_nat) (= M Na)))))
% 6.62/6.90 (assume a1058 (forall ((I_1 tptp.nat) (U_1 tptp.nat) (J tptp.nat) (K_1 tptp.nat)) (= (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.times_times_nat I_1) U_1)) (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.times_times_nat J) U_1)) K_1)) (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.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_1) J)) U_1)) K_1))))
% 6.62/6.90 (assume a1059 (forall ((M tptp.nat) (Na tptp.nat) (K tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K) M) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K) Na)) (= M Na)))))
% 6.62/6.90 (assume a1060 (forall ((M tptp.nat) (Na tptp.nat) (K tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (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.times_times_nat K) M)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na))))))
% 6.62/6.90 (assume a1061 (forall ((M tptp.nat) (Na tptp.nat) (K tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (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.times_times_nat K) M)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na))))))
% 6.62/6.90 (assume a1062 (forall ((U tptp.nat) (M tptp.nat) (Na tptp.nat) (J_1 tptp.nat) (I_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J_1) I_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 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I_2) U)) M)) (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.times_times_nat J_1) U)) Na))) (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 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I_2) J_1)) U)) M)) Na))))))
% 6.62/6.90 (assume a1063 (forall ((U_1 tptp.nat) (M_1 tptp.nat) (N tptp.nat) (J tptp.nat) (I_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J) I_1)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (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.times_times_nat I_1) U_1)) M_1)) (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.times_times_nat J) U_1)) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (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.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I_1) J)) U_1)) M_1)) N)))))
% 6.62/6.90 (assume a1064 (forall ((U tptp.nat) (M tptp.nat) (Na tptp.nat) (J_1 tptp.nat) (I_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J_1) I_2)) (= (= (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.times_times_nat I_2) U)) M) (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.times_times_nat J_1) U)) Na)) (= (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.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I_2) J_1)) U)) M) Na)))))
% 6.62/6.90 (assume a1065 (forall ((U tptp.nat) (M tptp.nat) (Na tptp.nat) (I_2 tptp.nat) (J_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) J_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 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I_2) U)) M)) (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.times_times_nat J_1) U)) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) (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.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J_1) I_2)) U)) Na)))))))
% 6.62/6.90 (assume a1066 (forall ((U_1 tptp.nat) (M_1 tptp.nat) (N tptp.nat) (I_1 tptp.nat) (J tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (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.times_times_nat I_1) U_1)) M_1)) (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.times_times_nat J) U_1)) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) (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.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J) I_1)) U_1)) N))))))
% 6.62/6.90 (assume a1067 (forall ((U tptp.nat) (M tptp.nat) (Na tptp.nat) (I_2 tptp.nat) (J_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) J_1)) (= (= (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.times_times_nat I_2) U)) M) (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.times_times_nat J_1) U)) Na)) (= M (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.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J_1) I_2)) U)) Na))))))
% 6.62/6.90 (assume a1068 (forall ((U tptp.nat) (M tptp.nat) (Na tptp.nat) (J_1 tptp.nat) (I_2 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J_1) I_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 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I_2) U)) M)) (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.times_times_nat J_1) U)) Na))) (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 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I_2) J_1)) U)) M)) Na))))))
% 6.62/6.90 (assume a1069 (forall ((B_2 tptp.int) (Q_2 tptp.int) (R_2 tptp.int) (B_1 tptp.int) (Q_1 tptp.int) (R_1 tptp.int)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) Q_2)) R_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) Q_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) Q_1)) R_1)) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_2) B_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) R_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_1) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Q_1) Q_2))))))))))
% 6.62/6.90 (assume a1070 (forall ((B_2 tptp.int) (Q_1 tptp.int) (R_1 tptp.int) (Q_2 tptp.int) (R_2 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) Q_1)) R_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) Q_2)) R_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int R_2) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) R_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) R_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Q_2) Q_1))))))))
% 6.62/6.90 (assume a1071 (forall ((K_1 tptp.int)) (= (tptp.number_number_of_int K_1) K_1)))
% 6.62/6.90 (assume a1072 (not (= tptp.zero_zero_int tptp.one_one_int)))
% 6.62/6.90 (assume a1073 (forall ((R_2 tptp.int) (Q_2 tptp.int) (A_1 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_1)) (=> (= A_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int R_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) Q_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_2) A_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.one_one_int) Q_2)))))))
% 6.62/6.90 (assume a1074 (forall ((R_2 tptp.int) (Q_2 tptp.int) (A_1 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_1)) (=> (= A_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int R_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) Q_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) R_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Q_2) tptp.one_one_int)))))))
% 6.62/6.90 (assume a1075 (forall ((B_1 tptp.int) (Q_1 tptp.int) (R_1 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) Q_1)) R_1))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Q_1)))))))
% 6.62/6.90 (assume a1076 (forall ((B_1 tptp.int) (Q_1 tptp.int) (R_1 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) Q_1)) R_1)) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) R_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Q_1) tptp.zero_zero_int)))))))
% 6.62/6.90 (assume a1077 (forall ((B_2 tptp.int) (Q_1 tptp.int) (R_1 tptp.int) (Q_2 tptp.int) (R_2 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) Q_1)) R_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) Q_2)) R_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) R_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_1) B_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_2) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Q_1) Q_2))))))))
% 6.62/6.90 (assume a1078 (forall ((B_2 tptp.int) (Q_2 tptp.int) (R_2 tptp.int) (B_1 tptp.int) (Q_1 tptp.int) (R_1 tptp.int)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) Q_2)) R_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) Q_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) Q_1)) R_1))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) R_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_1) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Q_2) Q_1))))))))))
% 6.62/6.90 (assume a1079 (forall ((Pa tptp.fun_int_bool) (I_2 tptp.int) (K tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int I_2) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int K) tptp.one_one_int))) (=> (forall ((I tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int I) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa I)) (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int I) tptp.one_one_int)))))) (tptp.hBOOL (tptp.hAPP_int_bool Pa I_2)))))))
% 6.62/6.90 (assume a1080 (forall ((Pa tptp.fun_int_bool) (I_2 tptp.int) (K tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int I_2) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa K)) (=> (forall ((I tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int I) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa I)) (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int I) tptp.one_one_int)))))) (tptp.hBOOL (tptp.hAPP_int_bool Pa I_2)))))))
% 6.62/6.90 (assume a1081 (forall ((Pa tptp.fun_int_bool) (K tptp.int) (I_2 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) I_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int K) tptp.one_one_int))) (=> (forall ((I tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) I)) (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa I)) (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int I) tptp.one_one_int)))))) (tptp.hBOOL (tptp.hAPP_int_bool Pa I_2)))))))
% 6.62/6.90 (assume a1082 (forall ((Pa tptp.fun_int_bool) (K tptp.int) (I_2 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) I_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa K)) (=> (forall ((I tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) I)) (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa I)) (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int I) tptp.one_one_int)))))) (tptp.hBOOL (tptp.hAPP_int_bool Pa I_2)))))))
% 6.62/6.90 (assume a1083 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X) Y)))))))
% 6.62/6.90 (assume a1084 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) tptp.zero_zero_int)))
% 6.62/6.90 (assume a1085 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X) Y)))))))
% 6.62/6.90 (assume a1086 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) tptp.one_one_int)))
% 6.62/6.90 (assume a1087 (forall ((P_1 tptp.fun_int_bool) (Pa tptp.fun_int_bool)) (=> (forall ((X_2 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_2)) (= (tptp.hBOOL (tptp.hAPP_int_bool Pa X_2)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_2))))) (= (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fconj (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int)) Pa)) (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fconj (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int)) P_1))))))
% 6.62/6.90 (assume a1088 (forall ((K tptp.int) (Pa tptp.fun_int_bool) (D_1 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D_1)) (=> (forall ((X_2 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa X_2)) (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_2) D_1))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (forall ((X_2 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa X_2)) (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K) D_1)))))))))))
% 6.62/6.90 (assume a1089 (forall ((P_1 tptp.bool) (Pa tptp.bool) (X_1 tptp.int)) (=> (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1)) (= (tptp.hBOOL Pa) (tptp.hBOOL P_1))) (= (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1)) (tptp.hBOOL Pa)) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1)) (tptp.hBOOL P_1))))))
% 6.62/6.90 (assume a1090 (forall ((P_1 tptp.bool) (Pa tptp.bool) (X_1 tptp.int)) (=> (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1)) (= (tptp.hBOOL Pa) (tptp.hBOOL P_1))) (= (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1)) (tptp.hBOOL Pa)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1)) (tptp.hBOOL P_1))))))
% 6.62/6.90 (assume a1091 (forall ((K tptp.int) (Pa tptp.fun_int_bool) (D_1 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D_1)) (=> (forall ((X_2 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa X_2)) (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_2) D_1))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (forall ((X_2 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa X_2)) (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K) D_1)))))))))))
% 6.62/6.90 (assume a1092 (forall ((I_2 tptp.int) (Pa tptp.fun_int_bool) (K tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa K)) (=> (forall ((I tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) I)) (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa I)) (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int I) tptp.one_one_int)))))) (=> (forall ((I tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int I) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool Pa I)) (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int I) tptp.one_one_int)))))) (tptp.hBOOL (tptp.hAPP_int_bool Pa I_2)))))))
% 6.62/6.90 (assume a1093 (forall ((Pa tptp.fun_int_bool) (P1 tptp.fun_int_bool) (D_1 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D_1)) (=> (forall ((X_2 tptp.int) (K_2 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool P1 X_2)) (tptp.hBOOL (tptp.hAPP_int_bool P1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2) D_1)))))) (=> (exists ((Z_3 tptp.int)) (forall ((X_2 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_2) Z_3)) (= (tptp.hBOOL (tptp.hAPP_int_bool Pa X_2)) (tptp.hBOOL (tptp.hAPP_int_bool P1 X_2)))))) (=> (exists ((X1 tptp.int)) (tptp.hBOOL (tptp.hAPP_int_bool P1 X1))) (exists ((X1 tptp.int)) (tptp.hBOOL (tptp.hAPP_int_bool Pa X1)))))))))
% 6.62/6.90 (assume a1094 (forall ((Pa tptp.fun_int_bool) (P_1 tptp.fun_int_bool) (D_1 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D_1)) (=> (forall ((X_2 tptp.int) (K_2 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2) D_1)))))) (=> (exists ((Z_3 tptp.int)) (forall ((X_2 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Z_3) X_2)) (= (tptp.hBOOL (tptp.hAPP_int_bool Pa X_2)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_2)))))) (=> (exists ((X1 tptp.int)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 X1))) (exists ((X1 tptp.int)) (tptp.hBOOL (tptp.hAPP_int_bool Pa X1)))))))))
% 6.62/6.90 (assume a1095 (forall ((Y tptp.int) (X tptp.int)) (and (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y) X)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.nat_tsub X) Y) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X) Y))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y) X))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.nat_tsub X) Y) tptp.zero_zero_int)))))
% 6.62/6.90 (assume a1096 (forall ((N tptp.nat)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)))))
% 6.62/6.90 (assume a1097 (forall ((K_1 tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int K_1)) tptp.zero_zero_int)))))
% 6.62/6.90 (assume a1098 (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int tptp.one_one_nat) tptp.one_one_int))
% 6.62/6.90 (assume a1099 (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int tptp.zero_zero_nat) tptp.zero_zero_int))
% 6.62/6.90 (assume a1100 (forall ((Na tptp.nat)) (= (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na) tptp.zero_zero_int) (= Na tptp.zero_zero_nat))))
% 6.62/6.90 (assume a1101 (forall ((M tptp.nat) (Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na)))))
% 6.62/6.90 (assume a1102 (forall ((M tptp.nat) (Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) Na)))))
% 6.62/6.90 (assume a1103 (forall ((M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_1)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) N)))))
% 6.62/6.90 (assume a1104 (forall ((M_1 tptp.nat) (N tptp.nat) (Z tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)) Z)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1) N))) Z))))
% 6.62/6.90 (assume a1105 (forall ((W_1 tptp.int) (Z_2 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int W_1) Z_2)) (exists ((N_1 tptp.nat)) (= Z_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int W_1) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_1)))))))
% 6.62/6.90 (assume a1106 (forall ((M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_1)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) N)))))
% 6.62/6.90 (assume a1107 (forall ((M_1 tptp.nat) (N tptp.nat)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) N)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_1)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)))))
% 6.62/6.90 (assume a1108 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int X)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Y)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat X) Y)))))
% 6.62/6.90 (assume a1109 (forall ((X_1 tptp.nat) (Y_1 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int X_1)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Y_1))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)))))
% 6.62/6.90 (assume a1110 (forall ((X_1 tptp.nat) (Y_1 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int X_1)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Y_1))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) Y_1)))))
% 6.62/6.90 (assume a1111 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.nat_tsub (tptp.hAPP_nat_int tptp.semiri1621563631at_int X)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Y)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat X) Y)))))
% 6.62/6.90 (assume a1112 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int X)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Y)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat X) Y)))))
% 6.62/6.90 (assume a1113 (forall ((A tptp.fun_nat_bool)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.image_nat_int tptp.semiri1621563631at_int A)))))
% 6.62/6.90 (assume a1114 (forall ((A tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.image_nat_int tptp.semiri1621563631at_int A))))))
% 6.62/6.90 (assume a1115 (= tptp.one_one_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int tptp.one_one_nat)))
% 6.62/6.90 (assume a1116 (= tptp.zero_zero_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int tptp.zero_zero_nat)))
% 6.62/6.90 (assume a1117 (forall ((Pa tptp.fun_int_bool)) (= (tptp.collect_int (tptp.cOMBS_int_bool_bool (tptp.cOMBB_1652995168ol_int tptp.fconj (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int)) Pa)) (tptp.image_nat_int tptp.semiri1621563631at_int (tptp.collect_nat (tptp.cOMBB_int_bool_nat Pa tptp.semiri1621563631at_int))))))
% 6.62/6.90 (assume a1118 (forall ((Z tptp.nat)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Z)))))
% 6.62/6.90 (assume a1119 (forall ((Pa tptp.fun_int_bool)) (= (exists ((X_2 tptp.int)) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_2)) (tptp.hBOOL (tptp.hAPP_int_bool Pa X_2)))) (exists ((X_2 tptp.nat)) (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_nat_int tptp.semiri1621563631at_int X_2)))))))
% 6.62/6.90 (assume a1120 (forall ((Pa tptp.fun_int_bool)) (= (forall ((X_2 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_2)) (tptp.hBOOL (tptp.hAPP_int_bool Pa X_2)))) (forall ((X_2 tptp.nat)) (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_nat_int tptp.semiri1621563631at_int X_2)))))))
% 6.62/6.90 (assume a1121 (forall ((Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na)) tptp.zero_zero_int)) (= Na tptp.zero_zero_nat))))
% 6.62/6.90 (assume a1122 (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_int))
% 6.62/6.90 (assume a1123 (forall ((W_1 tptp.int) (Z_2 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int W_1) Z_2)) (exists ((N_1 tptp.nat)) (= Z_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int W_1) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat tptp.suc N_1))))))))
% 6.62/6.90 (assume a1124 (forall ((M_1 tptp.nat)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat tptp.suc M_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_1)))))
% 6.62/6.90 (assume a1125 (forall ((N tptp.nat) (M_1 tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M_1)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_1)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_1) N))))))
% 6.62/6.90 (assume a1126 (forall ((Na tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)))))
% 6.62/6.90 (assume a1127 (forall ((K_1 tptp.nat) (I_1 tptp.int) (J tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int I_1) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int K_1)) I_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int K_1)) J)))))))
% 6.62/6.90 (assume a1128 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.nat_tsub X) Y)))))))
% 6.62/6.90 (assume a1129 (forall ((Pa tptp.fun_int_bool) (X_1 tptp.nat) (Y_1 tptp.nat)) (= (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat X_1) Y_1)))) (and (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_1) X_1)) (tptp.hBOOL (tptp.hAPP_int_bool Pa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int X_1)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Y_1))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_int_bool Pa tptp.zero_zero_int)))))))
% 6.62/6.90 (assume a1130 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y) X)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.nat_tsub X) Y) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X) Y)))))
% 6.62/6.90 (assume a1131 (forall ((K_1 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) K_1)) (exists ((N_1 tptp.nat)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_1)) (= K_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_1)))))))
% 6.62/6.90 (assume a1132 (forall ((M tptp.nat) (Na tptp.nat)) (= (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int M) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na)) (= M Na))))
% 6.62/6.90 (assume a1133 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool (tptp.image_nat_int tptp.semiri1621563631at_int A)) (tptp.image_nat_int tptp.semiri1621563631at_int B))))))
% 6.62/6.90 (assume a1134 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool (tptp.image_nat_int tptp.semiri1621563631at_int A)) (tptp.image_nat_int tptp.semiri1621563631at_int B))))))
% 6.62/6.90 (assume a1135 (= tptp.bot_bot_fun_int_bool (tptp.image_nat_int tptp.semiri1621563631at_int tptp.bot_bot_fun_nat_bool)))
% 6.62/6.90 (assume a1136 (forall ((A tptp.fun_nat_bool) (B tptp.fun_nat_bool)) (= (= A B) (= (tptp.image_nat_int tptp.semiri1621563631at_int A) (tptp.image_nat_int tptp.semiri1621563631at_int B)))))
% 6.62/6.90 (assume a1137 (forall ((X_1 tptp.nat) (A tptp.fun_nat_bool)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int X_1)) (tptp.image_nat_int tptp.semiri1621563631at_int A))))))
% 6.62/6.90 (assume a1138 (forall ((X_1 tptp.nat) (Y_1 tptp.nat) (Pa tptp.bool)) (and (=> (tptp.hBOOL Pa) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int X_1) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.if_nat Pa) X_1) Y_1)))) (=> (not (tptp.hBOOL Pa)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int Y_1) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.if_nat Pa) X_1) Y_1)))))))
% 6.62/6.90 (assume a1139 (forall ((X_1 tptp.nat) (Y_1 tptp.nat)) (= (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int X_1) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Y_1)) (= X_1 Y_1))))
% 6.62/6.90 (assume a1140 (forall ((K_1 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) K_1)) (not (forall ((N_1 tptp.nat)) (not (= K_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_1))))))))
% 6.62/6.90 (assume a1141 (forall ((Z tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (not (forall ((M_2 tptp.nat)) (not (= Z (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_2))))))))
% 6.62/6.90 (assume a1142 (forall ((K_1 tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) K_1)) (exists ((N_1 tptp.nat)) (= K_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_1))))))
% 6.62/6.90 (assume a1143 (forall ((Z tptp.int)) (not (forall ((M_2 tptp.nat) (N_1 tptp.nat)) (not (= Z (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_2)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_1))))))))
% 6.62/6.90 (assume a1144 (forall ((X tptp.int) (Z tptp.int) (D tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X) Z))) tptp.one_one_int)) D))) Z)))))
% 6.62/6.90 (assume a1145 (forall ((Z_2 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.abs_abs_int Z_2)) tptp.one_one_int)) (= Z_2 tptp.zero_zero_int))))
% 6.62/6.90 (assume a1146 (forall ((Z_1 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg Z_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Z_1) tptp.zero_zero_int)))))
% 6.62/6.90 (assume a1147 (forall ((X_1 tptp.int)) (= (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg X_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1)))))
% 6.62/6.90 (assume a1148 (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg tptp.one_one_int))))
% 6.62/6.90 (assume a1149 (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg tptp.zero_zero_int))))
% 6.62/6.90 (assume a1150 (forall ((M_1 tptp.int) (N tptp.int)) (=> (= (tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int M_1) N)) tptp.one_one_int) (= (tptp.abs_abs_int M_1) tptp.one_one_int))))
% 6.62/6.90 (assume a1151 (forall ((N tptp.nat)) (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_nat_int tptp.semiri1621563631at_int N))))))
% 6.62/6.90 (assume a1152 (forall ((M_1 tptp.nat)) (= (tptp.abs_abs_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_1)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_1))))
% 6.62/6.90 (assume a1153 (forall ((V tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int V))) (= (tptp.number_number_of_nat V) tptp.zero_zero_nat))))
% 6.62/6.90 (assume a1154 (forall ((V_3 tptp.int) (V_2 tptp.int)) (= (= (tptp.number_number_of_nat V_3) (tptp.number_number_of_nat V_2)) (and (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int V_3))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.number_number_of_int V_2)) tptp.zero_zero_int))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int V_3)))) (and (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int V_2))) (= (tptp.number_number_of_int V_3) tptp.zero_zero_int)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int V_2)))) (= V_3 V_2))))))))
% 6.62/6.90 (assume a1155 (forall ((V_1 tptp.int) (K_1 tptp.nat) (V tptp.int)) (and (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int V))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.number_number_of_nat V)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.number_number_of_nat V_1)) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.number_number_of_nat V_1)) K_1))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int V)))) (and (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int V_1))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.number_number_of_nat V)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.number_number_of_nat V_1)) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.number_number_of_nat V)) K_1))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int V_1)))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.number_number_of_nat V)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.number_number_of_nat V_1)) K_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.number_number_of_nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V) V_1))) K_1))))))))
% 6.62/6.90 (assume a1156 (forall ((V tptp.int)) (and (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int V))) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.number_number_of_nat V)) tptp.zero_zero_int)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int V)))) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.number_number_of_nat V)) (tptp.number_number_of_int V))))))
% 6.62/6.90 (assume a1157 (forall ((Z tptp.int) (X tptp.int) (D tptp.int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Z) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X) Z))) tptp.one_one_int)) D)))))))
% 6.62/6.90 (assume a1158 (forall ((K tptp.int) (F tptp.fun_nat_int) (Na tptp.nat)) (=> (forall ((I tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) Na)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int F (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) tptp.one_one_nat))) (tptp.hAPP_nat_int F I)))) tptp.one_one_int)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int F tptp.zero_zero_nat)) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) (tptp.hAPP_nat_int F Na))) (exists ((I tptp.nat)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) Na)) (= (tptp.hAPP_nat_int F I) K))))))))
% 6.62/6.90 (assume a1159 (forall ((K tptp.int) (F tptp.fun_nat_int) (Na tptp.nat)) (=> (forall ((I tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) Na)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int F (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) tptp.one_one_nat))) (tptp.hAPP_nat_int F I)))) tptp.one_one_int)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int F tptp.zero_zero_nat)) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) (tptp.hAPP_nat_int F Na))) (exists ((I tptp.nat)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) Na)) (= (tptp.hAPP_nat_int F I) K))))))))
% 6.62/6.90 (assume a1160 (forall ((K tptp.int) (F tptp.fun_nat_int) (Na tptp.nat) (M tptp.nat)) (=> (forall ((I tptp.nat)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) I)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) Na))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int F (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) tptp.one_one_nat))) (tptp.hAPP_nat_int F I)))) tptp.one_one_int)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) Na)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int F M)) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) (tptp.hAPP_nat_int F Na))) (exists ((I tptp.nat)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) I)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) Na)) (= (tptp.hAPP_nat_int F I) K)))))))))
% 6.62/6.90 (assume a1161 (forall ((N tptp.nat) (V tptp.int)) (and (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int V))) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.number_number_of_nat V)) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) N))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int V)))) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.number_number_of_nat V)) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.number_number_of_nat (tptp.succ V))) N))))))
% 6.62/6.90 (assume a1162 (forall ((K_1 tptp.int)) (= (tptp.succ K_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int K_1) tptp.one_one_int))))
% 6.62/6.90 (assume a1163 (forall ((V tptp.int)) (and (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int V))) (= (tptp.hAPP_nat_nat tptp.suc (tptp.number_number_of_nat V)) tptp.one_one_nat)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int V)))) (= (tptp.hAPP_nat_nat tptp.suc (tptp.number_number_of_nat V)) (tptp.number_number_of_nat (tptp.succ V)))))))
% 6.62/6.90 (assume a1164 (forall ((W tptp.int)) (and (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int W))) (= (tptp.number_number_of_nat (tptp.bit1 W)) tptp.zero_zero_nat)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int W)))) (= (tptp.number_number_of_nat (tptp.bit1 W)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.number_number_of_nat W)) (tptp.number_number_of_nat W))))))))
% 6.62/6.90 (assume a1165 (forall ((V tptp.int)) (and (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int V) tptp.pls)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.number_number_of_nat V)) tptp.one_one_nat)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int V) tptp.pls))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.number_number_of_nat V)) (tptp.number_number_of_nat (tptp.succ V)))))))
% 6.62/6.90 (assume a1166 (= (tptp.succ tptp.pls) (tptp.bit1 tptp.pls)))
% 6.62/6.90 (assume a1167 (forall ((W_1 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int (tptp.bit1 W_1)))) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int W_1))))))
% 6.62/6.90 (assume a1168 (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.number_number_of_int tptp.pls)))))
% 6.62/6.90 (assume a1169 (= (tptp.number_number_of_int (tptp.bit1 (tptp.bit1 tptp.pls))) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.number_number_of_nat (tptp.bit1 (tptp.bit1 tptp.pls))))))
% 6.62/6.90 (assume a1170 (= (tptp.number_number_of_nat (tptp.bit1 tptp.pls)) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))
% 6.62/6.90 (assume a1171 (= (tptp.number_number_of_nat (tptp.bit1 (tptp.bit1 tptp.pls))) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 6.62/6.90 (assume a1172 (forall ((N tptp.nat)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc N))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.number_number_of_nat (tptp.bit1 (tptp.bit1 tptp.pls)))) N))))
% 6.62/6.90 (assume a1173 (= tptp.one_one_nat (tptp.number_number_of_nat (tptp.bit1 tptp.pls))))
% 6.62/6.90 (assume a1174 (= (tptp.number_number_of_nat (tptp.bit1 tptp.pls)) tptp.one_one_nat))
% 6.62/6.90 (assume a1175 (= tptp.one_one_int (tptp.number_number_of_int (tptp.bit1 tptp.pls))))
% 6.62/6.90 (assume a1176 (= tptp.zero_zero_int (tptp.number_number_of_int tptp.pls)))
% 6.62/6.90 (assume a1177 (forall ((K_1 tptp.int)) (= (tptp.bit1 K_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) K_1)) K_1))))
% 6.62/6.90 (assume a1178 (= (tptp.number_number_of_nat tptp.pls) tptp.zero_zero_nat))
% 6.62/6.90 (assume a1179 (= tptp.zero_zero_nat (tptp.number_number_of_nat tptp.pls)))
% 6.62/6.90 (assume a1180 (= tptp.pls tptp.zero_zero_int))
% 6.62/6.90 (assume a1181 (forall ((K tptp.int) (L tptp.int)) (= (= (tptp.bit1 K) (tptp.bit1 L)) (= K L))))
% 6.62/6.90 (assume a1182 (forall ((K_1 tptp.int)) (not (= (tptp.bit1 K_1) tptp.pls))))
% 6.62/6.90 (assume a1183 (forall ((L_1 tptp.int)) (not (= tptp.pls (tptp.bit1 L_1)))))
% 6.62/6.90 (assume a1184 (forall ((K_1 tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int K_1) tptp.pls) K_1)))
% 6.62/6.90 (assume a1185 (forall ((K_1 tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.pls) K_1) K_1)))
% 6.62/6.90 (assume a1186 (forall ((K_1 tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int K_1) tptp.pls) K_1)))
% 6.62/6.90 (assume a1187 (forall ((W tptp.int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int tptp.pls) W) tptp.pls)))
% 6.62/6.90 (assume a1188 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.number_number_of_int (tptp.bit1 (tptp.bit1 tptp.pls))))))
% 6.62/6.90 (assume a1189 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) tptp.pls)))
% 6.62/6.90 (assume a1190 (forall ((K tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) (tptp.bit1 K))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) K)))))
% 6.62/6.90 (assume a1191 (forall ((K tptp.int) (L tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.bit1 K)) (tptp.bit1 L))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) L)))))
% 6.62/6.90 (assume a1192 (forall ((K1 tptp.int) (K2 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.bit1 K1)) (tptp.bit1 K2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K1) K2)))))
% 6.62/6.90 (assume a1193 (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.pls) tptp.pls))))
% 6.62/6.90 (assume a1194 (forall ((K tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.bit1 K)) tptp.pls)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) tptp.pls)))))
% 6.62/6.90 (assume a1195 (forall ((K tptp.int) (L tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.bit1 K)) (tptp.bit1 L))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) L)))))
% 6.62/6.90 (assume a1196 (forall ((K1 tptp.int) (K2 tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.bit1 K1)) (tptp.bit1 K2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K1) K2)))))
% 6.62/6.90 (assume a1197 (forall ((K tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.bit1 K)) tptp.pls)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) tptp.pls)))))
% 6.62/6.90 (assume a1198 (forall ((K tptp.int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.pls) (tptp.bit1 K))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) K)))))
% 6.62/6.90 (assume a1199 (forall ((P tptp.bool)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P))) (not (tptp.hBOOL P)))))
% 6.62/6.90 (assume a1200 (forall ((P tptp.bool)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P)))))
% 6.62/6.90 (assume a1201 (forall ((Q tptp.bool) (P tptp.bool)) (or (not (tptp.hBOOL P)) (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q)))))
% 6.62/6.90 (assume a1202 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL P))))
% 6.62/6.90 (assume a1203 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL Q))))
% 6.62/6.90 (assume a1204 (forall ((Q tptp.bool) (P tptp.bool)) (or (not (tptp.hBOOL P)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q)))))
% 6.62/6.90 (assume a1205 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q)))))
% 6.62/6.90 (assume a1206 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q))) (tptp.hBOOL P) (tptp.hBOOL Q))))
% 6.62/6.90 (assume a1207 (not (tptp.hBOOL tptp.fFalse)))
% 6.62/6.90 (assume a1208 (forall ((P tptp.bool)) (or (= P tptp.fTrue) (= P tptp.fFalse))))
% 6.62/6.90 (assume a1209 (forall ((Q tptp.bool) (P tptp.bool)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies P) Q)))))
% 6.62/6.90 (assume a1210 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies P) Q)))))
% 6.62/6.90 (assume a1211 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies P) Q))) (not (tptp.hBOOL P)) (tptp.hBOOL Q))))
% 6.62/6.90 (assume a1212 (forall ((X tptp.x_a) (Y tptp.x_a)) (or (not (tptp.hBOOL (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool tptp.fequal_a X) Y))) (= X Y))))
% 6.62/6.90 (assume a1213 (forall ((X tptp.x_a) (Y tptp.x_a)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool tptp.fequal_a X) Y)))))
% 6.62/6.90 (assume a1214 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.if_nat tptp.fTrue) X) Y) X)))
% 6.62/6.90 (assume a1215 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.if_nat tptp.fFalse) X) Y) Y)))
% 6.62/6.90 (assume a1216 (forall ((P tptp.bool)) (or (= P tptp.fTrue) (= P tptp.fFalse))))
% 6.62/6.90 (assume a1217 (forall ((P tptp.nat)) (= (tptp.hAPP_nat_nat tptp.cOMBI_nat P) P)))
% 6.62/6.90 (assume a1218 (forall ((X tptp.int) (Y tptp.int)) (or (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.fequal_int X) Y))) (= X Y))))
% 6.62/6.90 (assume a1219 (forall ((X tptp.int) (Y tptp.int)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.fequal_int X) Y)))))
% 6.62/6.90 (assume a1220 (forall ((X tptp.nat) (Y tptp.nat)) (or (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat X) Y))) (= X Y))))
% 6.62/6.90 (assume a1221 (forall ((X tptp.nat) (Y tptp.nat)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat X) Y)))))
% 6.62/6.90 (assume a1222 (forall ((X tptp.pname) (Y tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool tptp.fequal_pname X) Y))) (= X Y))))
% 6.62/6.90 (assume a1223 (forall ((X tptp.pname) (Y tptp.pname)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool tptp.fequal_pname X) Y)))))
% 6.62/6.90 (assume a1224 (forall ((P tptp.bool) (Q tptp.x_a)) (= (tptp.hAPP_a_bool (tptp.cOMBK_bool_a P) Q) P)))
% 6.62/6.90 (assume a1225 (forall ((P tptp.x_a) (Q tptp.pname)) (= (tptp.hAPP_pname_a (tptp.cOMBK_a_pname P) Q) P)))
% 6.62/6.90 (assume a1226 (forall ((P tptp.fun_a_fun_a_bool) (Q tptp.x_a) (R tptp.x_a)) (= (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool P) Q) R) (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool P R) Q))))
% 6.62/6.90 (assume a1227 (forall ((P tptp.int) (Q tptp.nat)) (= (tptp.hAPP_nat_int (tptp.cOMBK_int_nat P) Q) P)))
% 6.62/6.90 (assume a1228 (forall ((P tptp.bool) (Q tptp.int)) (= (tptp.hAPP_int_bool (tptp.cOMBK_bool_int P) Q) P)))
% 6.62/6.90 (assume a1229 (forall ((P tptp.bool) (Q tptp.nat)) (= (tptp.hAPP_nat_bool (tptp.cOMBK_bool_nat P) Q) P)))
% 6.62/6.90 (assume a1230 (forall ((X tptp.fun_a_bool) (Y tptp.fun_a_bool)) (or (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.fequal_fun_a_bool X) Y))) (= X Y))))
% 6.62/6.90 (assume a1231 (forall ((X tptp.fun_a_bool) (Y tptp.fun_a_bool)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.fequal_fun_a_bool X) Y)))))
% 6.62/6.90 (assume a1232 (forall ((P tptp.fun_int_fun_a_bool) (Q tptp.x_a) (R tptp.int)) (= (tptp.hAPP_int_bool (tptp.hAPP_a_fun_int_bool (tptp.cOMBC_int_a_bool P) Q) R) (tptp.hAPP_a_bool (tptp.hAPP_int_fun_a_bool P R) Q))))
% 6.62/6.90 (assume a1233 (forall ((P tptp.fun_bool_bool) (Q tptp.fun_a_bool) (R tptp.x_a)) (= (tptp.hAPP_a_bool (tptp.cOMBB_bool_bool_a P Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_a_bool Q R)))))
% 6.62/6.90 (assume a1234 (forall ((P tptp.fun_a_fun_bool_bool) (Q tptp.fun_a_bool) (R tptp.x_a)) (= (tptp.hAPP_a_bool (tptp.cOMBS_a_bool_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_a_fun_bool_bool P R) (tptp.hAPP_a_bool Q R)))))
% 6.62/6.90 (assume a1235 (forall ((P tptp.fun_pname_fun_a_bool) (Q tptp.x_a) (R tptp.pname)) (= (tptp.hAPP_pname_bool (tptp.hAPP_a93125764e_bool (tptp.cOMBC_pname_a_bool P) Q) R) (tptp.hAPP_a_bool (tptp.hAPP_p1534023578a_bool P R) Q))))
% 6.62/6.90 (assume a1236 (forall ((X tptp.fun_int_bool) (Y tptp.fun_int_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.fequal_fun_int_bool X) Y))) (= X Y))))
% 6.62/6.90 (assume a1237 (forall ((X tptp.fun_int_bool) (Y tptp.fun_int_bool)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.fequal_fun_int_bool X) Y)))))
% 6.62/6.90 (assume a1238 (forall ((X tptp.fun_nat_bool) (Y tptp.fun_nat_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.fequal_fun_nat_bool X) Y))) (= X Y))))
% 6.62/6.90 (assume a1239 (forall ((X tptp.fun_nat_bool) (Y tptp.fun_nat_bool)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.fequal_fun_nat_bool X) Y)))))
% 6.62/6.90 (assume a1240 (forall ((X tptp.fun_pname_bool) (Y tptp.fun_pname_bool)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool X) Y))) (= X Y))))
% 6.62/6.90 (assume a1241 (forall ((X tptp.fun_pname_bool) (Y tptp.fun_pname_bool)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool X) Y)))))
% 6.62/6.90 (assume a1242 (forall ((P tptp.fun_int_bool) (Q tptp.fun_nat_int) (R tptp.nat)) (= (tptp.hAPP_nat_bool (tptp.cOMBB_int_bool_nat P Q) R) (tptp.hAPP_int_bool P (tptp.hAPP_nat_int Q R)))))
% 6.62/6.90 (assume a1243 (forall ((P tptp.fun_int_fun_int_bool) (Q tptp.int) (R tptp.int)) (= (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.cOMBC_int_int_bool P) Q) R) (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool P R) Q))))
% 6.62/6.90 (assume a1244 (forall ((P tptp.fun_nat_fun_int_bool) (Q tptp.int) (R tptp.nat)) (= (tptp.hAPP_nat_bool (tptp.hAPP_i418383825t_bool (tptp.cOMBC_nat_int_bool P) Q) R) (tptp.hAPP_int_bool (tptp.hAPP_n1082236369t_bool P R) Q))))
% 6.62/6.90 (assume a1245 (forall ((P tptp.fun_nat_fun_nat_bool) (Q tptp.nat) (R tptp.nat)) (= (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool P) Q) R) (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool P R) Q))))
% 6.62/6.90 (assume a1246 (forall ((P tptp.fun_bool_bool) (Q tptp.fun_int_bool) (R tptp.int)) (= (tptp.hAPP_int_bool (tptp.cOMBB_bool_bool_int P Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_int_bool Q R)))))
% 6.62/6.90 (assume a1247 (forall ((P tptp.fun_bool_bool) (Q tptp.fun_nat_bool) (R tptp.nat)) (= (tptp.hAPP_nat_bool (tptp.cOMBB_bool_bool_nat P Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_nat_bool Q R)))))
% 6.62/6.90 (assume a1248 (forall ((P tptp.fun_in531499254l_bool) (Q tptp.fun_int_bool) (R tptp.int)) (= (tptp.hAPP_int_bool (tptp.cOMBS_int_bool_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_i68813070l_bool P R) (tptp.hAPP_int_bool Q R)))))
% 6.62/6.90 (assume a1249 (forall ((P tptp.fun_na1469252690l_bool) (Q tptp.fun_nat_bool) (R tptp.nat)) (= (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)))))
% 6.62/6.90 (assume a1250 (forall ((P tptp.fun_bool_bool) (Q tptp.fun_pname_bool) (R tptp.pname)) (= (tptp.hAPP_pname_bool (tptp.cOMBB_647938656_pname P Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_pname_bool Q R)))))
% 6.62/6.90 (assume a1251 (forall ((P tptp.fun_pn250273176l_bool) (Q tptp.fun_pname_bool) (R tptp.pname)) (= (tptp.hAPP_pname_bool (tptp.cOMBS_568398431l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_p393069232l_bool P R) (tptp.hAPP_pname_bool Q R)))))
% 6.62/6.90 (assume a1252 (forall ((P tptp.fun_pn800050071e_bool) (Q tptp.pname) (R tptp.pname)) (= (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool P) Q) R) (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool P R) Q))))
% 6.62/6.90 (assume a1253 (forall ((P tptp.fun_a_fun_a_bool) (Q tptp.fun_int_a) (R tptp.int)) (= (tptp.hAPP_int_fun_a_bool (tptp.cOMBB_375279840ol_int P Q) R) (tptp.hAPP_a_fun_a_bool P (tptp.hAPP_int_a Q R)))))
% 6.62/6.90 (assume a1254 (forall ((P tptp.fun_fun_a_bool_bool) (Q tptp.fun_a_fun_a_bool) (R tptp.x_a)) (= (tptp.hAPP_a_bool (tptp.cOMBB_1273333599bool_a P Q) R) (tptp.hAPP_fun_a_bool_bool P (tptp.hAPP_a_fun_a_bool Q R)))))
% 6.62/6.90 (assume a1255 (forall ((P tptp.fun_a_1255737515l_bool) (Q tptp.fun_a_bool) (R tptp.x_a)) (= (tptp.hAPP_a_bool (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool P) Q) R) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool P R) Q))))
% 6.62/6.90 (assume a1256 (forall ((P tptp.fun_a_fun_a_bool) (Q tptp.fun_pname_a) (R tptp.pname)) (= (tptp.hAPP_p1534023578a_bool (tptp.cOMBB_1897541054_pname P Q) R) (tptp.hAPP_a_fun_a_bool P (tptp.hAPP_pname_a Q R)))))
% 6.62/6.90 (assume a1257 (forall ((P tptp.fun_in1106722302l_bool) (Q tptp.fun_a_bool) (R tptp.int)) (= (tptp.hAPP_int_bool (tptp.hAPP_f1812805200t_bool (tptp.cOMBC_1753430397l_bool P) Q) R) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_i888906320l_bool P R) Q))))
% 6.62/6.90 (assume a1258 (forall ((P tptp.fun_na1632405922l_bool) (Q tptp.fun_a_bool) (R tptp.nat)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f282463732t_bool (tptp.cOMBC_1928494297l_bool P) Q) R) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_n1414589940l_bool P R) Q))))
% 6.62/6.90 (assume a1259 (forall ((P tptp.fun_bo1549164019l_bool) (Q tptp.fun_a_bool) (R tptp.x_a)) (= (tptp.hAPP_a_fun_bool_bool (tptp.cOMBB_1972296269bool_a P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_a_bool Q R)))))
% 6.62/6.90 (assume a1260 (forall ((P tptp.fun_fu554186387l_bool) (Q tptp.fun_fun_a_bool_bool) (R tptp.fun_a_bool)) (= (tptp.hAPP_fun_a_bool_bool (tptp.cOMBS_1035972772l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_f198738859l_bool P R) (tptp.hAPP_fun_a_bool_bool Q R)))))
% 6.62/6.90 (assume a1261 (forall ((P tptp.fun_int_fun_int_bool) (Q tptp.fun_nat_int) (R tptp.nat)) (= (tptp.hAPP_n1082236369t_bool (tptp.cOMBB_1628441366ol_nat P Q) R) (tptp.hAPP_i1948725293t_bool P (tptp.hAPP_nat_int Q R)))))
% 6.62/6.90 (assume a1262 (forall ((P tptp.fun_nat_fun_nat_bool) (Q tptp.fun_nat_nat) (R tptp.nat)) (= (tptp.hAPP_n1699378549t_bool (tptp.cOMBB_800536526ol_nat P Q) R) (tptp.hAPP_n1699378549t_bool P (tptp.hAPP_nat_nat Q R)))))
% 6.62/6.90 (assume a1263 (forall ((P tptp.fun_a_1752562919a_bool) (Q tptp.fun_a_bool) (R tptp.x_a)) (= (tptp.hAPP_a_fun_a_bool (tptp.hAPP_f1038053735a_bool (tptp.cOMBC_394484100a_bool P) Q) R) (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool P R) Q))))
% 6.62/6.90 (assume a1264 (forall ((P tptp.fun_fu819804446l_bool) (Q tptp.fun_int_fun_int_bool) (R tptp.int)) (= (tptp.hAPP_int_bool (tptp.cOMBB_1418110531ol_int P Q) R) (tptp.hAPP_f448129468l_bool P (tptp.hAPP_i1948725293t_bool Q R)))))
% 6.62/6.90 (assume a1265 (forall ((P tptp.fun_fu425979586l_bool) (Q tptp.fun_nat_fun_nat_bool) (R tptp.nat)) (= (tptp.hAPP_nat_bool (tptp.cOMBB_955900739ol_nat P Q) R) (tptp.hAPP_f54304608l_bool P (tptp.hAPP_n1699378549t_bool Q R)))))
% 6.62/6.90 (assume a1266 (forall ((P tptp.fun_in938817141l_bool) (Q tptp.fun_int_bool) (R tptp.int)) (= (tptp.hAPP_int_bool (tptp.hAPP_f1805168059t_bool (tptp.cOMBC_94739984l_bool P) Q) R) (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool P R) Q))))
% 6.62/6.90 (assume a1267 (forall ((P tptp.fun_in791894553l_bool) (Q tptp.fun_nat_bool) (R tptp.int)) (= (tptp.hAPP_int_bool (tptp.hAPP_f183368031t_bool (tptp.cOMBC_1848398772l_bool P) Q) R) (tptp.hAPP_f54304608l_bool (tptp.hAPP_i1718399025l_bool P R) Q))))
% 6.62/6.90 (assume a1268 (forall ((P tptp.fun_na1583160273l_bool) (Q tptp.fun_int_bool) (R tptp.nat)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f274826591t_bool (tptp.cOMBC_620423604l_bool P) Q) R) (tptp.hAPP_f448129468l_bool (tptp.hAPP_n609083369l_bool P R) Q))))
% 6.62/6.90 (assume a1269 (forall ((P tptp.fun_na1436237685l_bool) (Q tptp.fun_nat_bool) (R tptp.nat)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool P) Q) R) (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool P R) Q))))
% 6.62/6.90 (assume a1270 (forall ((P tptp.fun_bo1549164019l_bool) (Q tptp.fun_int_bool) (R tptp.int)) (= (tptp.hAPP_i68813070l_bool (tptp.cOMBB_1652995168ol_int P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_int_bool Q R)))))
% 6.62/6.90 (assume a1271 (forall ((P tptp.fun_bo1549164019l_bool) (Q tptp.fun_nat_bool) (R tptp.nat)) (= (tptp.hAPP_n1006566506l_bool (tptp.cOMBB_1015721476ol_nat P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_nat_bool Q R)))))
% 6.62/6.90 (assume a1272 (forall ((P tptp.fun_fu989146164l_bool) (Q tptp.fun_fu819804446l_bool) (R tptp.fun_int_bool)) (= (tptp.hAPP_f448129468l_bool (tptp.cOMBS_1912792529l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_f1721100032l_bool P R) (tptp.hAPP_f448129468l_bool Q R)))))
% 6.62/6.90 (assume a1273 (forall ((P tptp.fun_fu1016514960l_bool) (Q tptp.fun_fu425979586l_bool) (R tptp.fun_nat_bool)) (= (tptp.hAPP_f54304608l_bool (tptp.cOMBS_1187019125l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_f1748468828l_bool P R) (tptp.hAPP_f54304608l_bool Q R)))))
% 6.62/6.90 (assume a1274 (forall ((P tptp.fun_in711834963l_bool) (Q tptp.fun_pname_bool) (R tptp.int)) (= (tptp.hAPP_int_bool (tptp.hAPP_f449020825t_bool (tptp.cOMBC_316919022l_bool P) Q) R) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_i1587699435l_bool P R) Q))))
% 6.62/6.90 (assume a1275 (forall ((P tptp.fun_na2122364079l_bool) (Q tptp.fun_pname_bool) (R tptp.nat)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f1066163005t_bool (tptp.cOMBC_386238098l_bool P) Q) R) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_n850744903l_bool P R) Q))))
% 6.62/6.90 (assume a1276 (forall ((P tptp.fun_bo1549164019l_bool) (Q tptp.fun_pname_bool) (R tptp.pname)) (= (tptp.hAPP_p393069232l_bool (tptp.cOMBB_675860798_pname P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_pname_bool Q R)))))
% 6.62/6.90 (assume a1277 (forall ((P tptp.fun_fu31783638l_bool) (Q tptp.fun_fu1430349052l_bool) (R tptp.fun_pname_bool)) (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBS_350070575l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_f1476298914l_bool P R) (tptp.hAPP_f1664156314l_bool Q R)))))
% 6.62/6.90 (assume a1278 (forall ((P tptp.fun_pn422929397l_bool) (Q tptp.fun_pname_bool) (R tptp.pname)) (= (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool P) Q) R) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool P R) Q))))
% 6.62/6.90 (assume a1279 (forall ((P tptp.fun_fu1471507361l_bool) (Q tptp.fun_a_bool) (R tptp.fun_a_bool)) (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool (tptp.cOMBC_1732670874l_bool P) Q) R) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool P R) Q))))
% 6.62/6.90 (assume a1280 (forall ((P tptp.fun_bo1549164019l_bool) (Q tptp.fun_fun_a_bool_bool) (R tptp.fun_a_bool)) (= (tptp.hAPP_f198738859l_bool (tptp.cOMBB_338059395a_bool P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_fun_a_bool_bool Q R)))))
% 6.62/6.90 (assume a1281 (forall ((P tptp.fun_na1436237685l_bool) (Q tptp.fun_nat_nat) (R tptp.nat)) (= (tptp.hAPP_n215258509l_bool (tptp.cOMBB_1146692694ol_nat P Q) R) (tptp.hAPP_n215258509l_bool P (tptp.hAPP_nat_nat Q R)))))
% 6.62/6.90 (assume a1282 (forall ((P tptp.fun_in719570932t_bool) (Q tptp.fun_int_bool) (R tptp.int)) (= (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f1048215610t_bool (tptp.cOMBC_1683390479t_bool P) Q) R) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool P R) Q))))
% 6.62/6.90 (assume a1283 (forall ((P tptp.fun_na35521688t_bool) (Q tptp.fun_nat_bool) (R tptp.nat)) (= (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f1570313510t_bool (tptp.cOMBC_178881787t_bool P) Q) R) (tptp.hAPP_f800510211t_bool (tptp.hAPP_n1512601776t_bool P R) Q))))
% 6.62/6.90 (assume a1284 (forall ((P tptp.fun_fu1151772339l_bool) (Q tptp.fun_int_bool) (R tptp.fun_int_bool)) (= (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool (tptp.cOMBC_605892544l_bool P) Q) R) (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool P R) Q))))
% 6.62/6.90 (assume a1285 (forall ((P tptp.fun_fu1217155507l_bool) (Q tptp.fun_nat_bool) (R tptp.fun_nat_bool)) (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool (tptp.cOMBC_1693257480l_bool P) Q) R) (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool P R) Q))))
% 6.62/6.90 (assume a1286 (forall ((P tptp.fun_bo1549164019l_bool) (Q tptp.fun_fu819804446l_bool) (R tptp.fun_int_bool)) (= (tptp.hAPP_f1721100032l_bool (tptp.cOMBB_1974511970t_bool P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_f448129468l_bool Q R)))))
% 6.62/6.90 (assume a1287 (forall ((P tptp.fun_bo1549164019l_bool) (Q tptp.fun_fu425979586l_bool) (R tptp.fun_nat_bool)) (= (tptp.hAPP_f1748468828l_bool (tptp.cOMBB_444170502t_bool P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_f54304608l_bool Q R)))))
% 6.62/6.90 (assume a1288 (forall ((P tptp.fun_bo1549164019l_bool) (Q tptp.fun_fu1430349052l_bool) (R tptp.fun_pname_bool)) (= (tptp.hAPP_f1476298914l_bool (tptp.cOMBB_2095475776e_bool P Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_f1664156314l_bool Q R)))))
% 6.62/6.90 (assume a1289 (forall ((P tptp.fun_fu802393907l_bool) (Q tptp.fun_pname_bool) (R tptp.fun_pname_bool)) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool P) Q) R) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool P R) Q))))
% 6.62/6.90 (assume a1290 (forall ((P tptp.fun_fu1471507361l_bool) (Q tptp.fun_int_fun_a_bool) (R tptp.int)) (= (tptp.hAPP_i888906320l_bool (tptp.cOMBB_313729068ol_int P Q) R) (tptp.hAPP_f1631501043l_bool P (tptp.hAPP_int_fun_a_bool Q R)))))
% 6.62/6.90 (assume a1291 (forall ((P tptp.fun_fu1471507361l_bool) (Q tptp.fun_nat_fun_a_bool) (R tptp.nat)) (= (tptp.hAPP_n1414589940l_bool (tptp.cOMBB_1823939024ol_nat P Q) R) (tptp.hAPP_f1631501043l_bool P (tptp.hAPP_nat_fun_a_bool Q R)))))
% 6.62/6.90 (assume a1292 (forall ((P tptp.fun_fu1151772339l_bool) (Q tptp.fun_int_fun_int_bool) (R tptp.int)) (= (tptp.hAPP_i2112223885l_bool (tptp.cOMBB_1761098400ol_int P Q) R) (tptp.hAPP_f284875647l_bool P (tptp.hAPP_i1948725293t_bool Q R)))))
% 6.62/6.90 (assume a1293 (forall ((P tptp.fun_fu1151772339l_bool) (Q tptp.fun_nat_fun_int_bool) (R tptp.nat)) (= (tptp.hAPP_n609083369l_bool (tptp.cOMBB_1123824708ol_nat P Q) R) (tptp.hAPP_f284875647l_bool P (tptp.hAPP_n1082236369t_bool Q R)))))
% 6.62/6.90 (assume a1294 (forall ((P tptp.fun_fu1217155507l_bool) (Q tptp.fun_int_fun_nat_bool) (R tptp.int)) (= (tptp.hAPP_i1718399025l_bool (tptp.cOMBB_516767136ol_int P Q) R) (tptp.hAPP_f103356543l_bool P (tptp.hAPP_i418383825t_bool Q R)))))
% 6.62/6.90 (assume a1295 (forall ((P tptp.fun_fu1217155507l_bool) (Q tptp.fun_nat_fun_nat_bool) (R tptp.nat)) (= (tptp.hAPP_n215258509l_bool (tptp.cOMBB_2026977092ol_nat P Q) R) (tptp.hAPP_f103356543l_bool P (tptp.hAPP_n1699378549t_bool Q R)))))
% 6.62/6.90 (assume a1296 (forall ((P tptp.fun_fu802393907l_bool) (Q tptp.fun_in2065004473e_bool) (R tptp.int)) (= (tptp.hAPP_i1587699435l_bool (tptp.cOMBB_607112096ol_int P Q) R) (tptp.hAPP_f434788991l_bool P (tptp.hAPP_i7355787e_bool Q R)))))
% 6.62/6.90 (assume a1297 (forall ((P tptp.fun_fu802393907l_bool) (Q tptp.fun_na936072029e_bool) (R tptp.nat)) (= (tptp.hAPP_n850744903l_bool (tptp.cOMBB_2117322052ol_nat P Q) R) (tptp.hAPP_f434788991l_bool P (tptp.hAPP_n1025906991e_bool Q R)))))
% 6.62/6.90 (assume a1298 (forall ((P tptp.fun_fu418465139l_bool) (Q tptp.fun_fun_a_bool_bool) (R tptp.fun_fun_a_bool_bool)) (= (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool (tptp.cOMBC_331553030l_bool P) Q) R) (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool P R) Q))))
% 6.62/6.90 (assume a1299 (forall ((P tptp.fun_fu209342027l_bool) (Q tptp.fun_fu819804446l_bool) (R tptp.fun_fu819804446l_bool)) (= (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool (tptp.cOMBC_348868698l_bool P) Q) R) (tptp.hAPP_f215623910l_bool (tptp.hAPP_f317860125l_bool P R) Q))))
% 6.62/6.90 (assume a1300 (forall ((P tptp.fun_fu140186515l_bool) (Q tptp.fun_fu425979586l_bool) (R tptp.fun_fu425979586l_bool)) (= (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool (tptp.cOMBC_595898202l_bool P) Q) R) (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool P R) Q))))
% 6.62/6.90 (assume a1301 (forall ((P tptp.fun_fu1911931399l_bool) (Q tptp.fun_fu1430349052l_bool) (R tptp.fun_fu1430349052l_bool)) (= (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool P) Q) R) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool P R) Q))))
% 6.62/6.90 (assume a1302 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname tptp.u)))
% 6.62/6.90 (assume a1303 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))
% 6.62/6.90 (assume a1304 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc tptp.na)) (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_pname_a tptp.mgt_call tptp.u)))))
% 6.62/6.90 (assume a1305 (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a tptp.g) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hAPP_nat_nat tptp.suc tptp.na))))
% 6.62/6.90 (assume a1306 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u)))
% 6.62/6.90 (assume a1307 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g))))
% 6.62/6.90 (assume a1308 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u)))))
% 6.62/6.90 (assume a1309 true)
% 6.62/6.90 (step t1 (cl (=> (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A)))))) :rule implies_neg1)
% 6.62/6.90 (anchor :step t2)
% 6.62/6.90 (assume t2.a0 (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))))))
% 6.62/6.90 (step t2.t1 (cl (or (not (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A)))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule forall_inst :args ((:= A tptp.u) (:= F tptp.mgt_call) (:= X_1 tptp.pn)))
% 6.62/6.90 (step t2.t2 (cl (not (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A)))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule or :premises (t2.t1))
% 6.62/6.90 (step t2.t3 (cl (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule resolution :premises (t2.t2 t2.a0))
% 6.62/6.90 (step t2 (cl (not (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A)))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule subproof :discharge (t2.a0))
% 6.62/6.90 (step t3 (cl (=> (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule resolution :premises (t1 t2))
% 6.62/6.90 (step t4 (cl (=> (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) (not (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule implies_neg2)
% 6.62/6.90 (step t5 (cl (=> (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) (=> (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule resolution :premises (t3 t4))
% 6.62/6.90 (step t6 (cl (=> (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule contraction :premises (t5))
% 6.62/6.90 (step t7 (cl (not (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A)))))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule implies :premises (t6))
% 6.62/6.90 (step t8 (cl (not (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))) :rule or_pos)
% 6.62/6.90 (step t9 (cl (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (not (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule reordering :premises (t8))
% 6.62/6.90 (step t10 (cl (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule and_neg)
% 6.62/6.90 (step t11 (cl (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule reordering :premises (t10))
% 6.62/6.90 (step t12 (cl (not (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (not (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule equiv_pos1)
% 6.62/6.90 (step t13 (cl (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (not (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))) (not (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))))) :rule reordering :premises (t12))
% 6.62/6.90 (step t14 (cl (=> (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)))))) :rule implies_neg1)
% 6.62/6.90 (anchor :step t15)
% 6.62/6.90 (assume t15.a0 (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B))))))
% 6.62/6.90 (step t15.t1 (cl (or (not (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))))) :rule forall_inst :args ((:= X_1 (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (:= A tptp.g) (:= B (tptp.image_pname_a tptp.mgt_call tptp.u))))
% 6.62/6.90 (step t15.t2 (cl (not (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule or :premises (t15.t1))
% 6.62/6.90 (step t15.t3 (cl (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule resolution :premises (t15.t2 t15.a0))
% 6.62/6.90 (step t15 (cl (not (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule subproof :discharge (t15.a0))
% 6.62/6.90 (step t16 (cl (=> (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule resolution :premises (t14 t15))
% 6.62/6.90 (step t17 (cl (=> (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) (not (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))))) :rule implies_neg2)
% 6.62/6.90 (step t18 (cl (=> (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) (=> (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))))) :rule resolution :premises (t16 t17))
% 6.62/6.90 (step t19 (cl (=> (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u))))))) :rule contraction :premises (t18))
% 6.62/6.90 (step t20 (cl (not (forall ((X_1 tptp.x_a) (A tptp.fun_a_bool) (B tptp.fun_a_bool)) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a X_1) A)) B)) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a X_1) B)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool A) B)))))) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule implies :premises (t19))
% 6.62/6.90 (step t21 (cl (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_f2050579477a_bool (tptp.hAPP_a1206381875a_bool tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) tptp.g)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule resolution :premises (t20 a453))
% 6.62/6.90 (step t22 (cl (not (and (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule resolution :premises (t13 a1308 t21))
% 6.62/6.90 (step t23 (cl (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u))))) :rule resolution :premises (t11 a1303 t22))
% 6.62/6.90 (step t24 (cl (not (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) (tptp.image_pname_a tptp.mgt_call tptp.u)))))) :rule resolution :premises (t9 a1306 t23))
% 6.62/6.90 (step t25 (cl (not (= (forall ((A tptp.fun_pname_bool) (B_3 tptp.x_a) (F tptp.fun_pname_a) (X_1 tptp.pname)) (=> (= B_3 (tptp.hAPP_pname_a F X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_3) (tptp.image_pname_a F A)))))) (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))))))) (not (forall ((A tptp.fun_pname_bool) (B_3 tptp.x_a) (F tptp.fun_pname_a) (X_1 tptp.pname)) (=> (= B_3 (tptp.hAPP_pname_a F X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_3) (tptp.image_pname_a F A))))))) (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A)))))) :rule equiv_pos2)
% 6.62/6.90 (step t26 (cl (= (forall ((A tptp.fun_pname_bool) (B_3 tptp.x_a) (F tptp.fun_pname_a) (X_1 tptp.pname)) (=> (= B_3 (tptp.hAPP_pname_a F X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_3) (tptp.image_pname_a F A)))))) (forall ((A tptp.fun_pname_bool) (B_3 tptp.x_a) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (= B_3 (tptp.hAPP_pname_a F X_1))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_3) (tptp.image_pname_a F A))))))) :rule all_simplify)
% 6.62/6.90 (step t27 (cl (= (forall ((A tptp.fun_pname_bool) (B_3 tptp.x_a) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (= B_3 (tptp.hAPP_pname_a F X_1))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_3) (tptp.image_pname_a F A))))) (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (= (tptp.hAPP_pname_a F X_1) (tptp.hAPP_pname_a F X_1))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))))))) :rule all_simplify)
% 6.62/6.90 (anchor :step t28 :args ((A tptp.fun_pname_bool) (:= A A) (F tptp.fun_pname_a) (:= F F) (X_1 tptp.pname) (:= X_1 X_1)))
% 6.62/6.90 (step t28.t1 (cl (= A A)) :rule refl)
% 6.62/6.90 (step t28.t2 (cl (= F F)) :rule refl)
% 6.62/6.90 (step t28.t3 (cl (= X_1 X_1)) :rule refl)
% 6.62/6.90 (step t28.t4 (cl (= (= (tptp.hAPP_pname_a F X_1) (tptp.hAPP_pname_a F X_1)) true)) :rule all_simplify)
% 6.62/6.90 (step t28.t5 (cl (= (not (= (tptp.hAPP_pname_a F X_1) (tptp.hAPP_pname_a F X_1))) (not true))) :rule cong :premises (t28.t4))
% 6.62/6.90 (step t28.t6 (cl (= (not true) false)) :rule all_simplify)
% 6.62/6.90 (step t28.t7 (cl (= (not (= (tptp.hAPP_pname_a F X_1) (tptp.hAPP_pname_a F X_1))) false)) :rule trans :premises (t28.t5 t28.t6))
% 6.62/6.90 (step t28.t8 (cl (= (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))))) :rule refl)
% 6.62/6.90 (step t28.t9 (cl (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))))) :rule refl)
% 6.62/6.90 (step t28.t10 (cl (= (or (not (= (tptp.hAPP_pname_a F X_1) (tptp.hAPP_pname_a F X_1))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A)))) (or false (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A)))))) :rule cong :premises (t28.t7 t28.t8 t28.t9))
% 6.71/6.91 (step t28.t11 (cl (= (or false (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A)))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A)))))) :rule all_simplify)
% 6.71/6.91 (step t28.t12 (cl (= (or (not (= (tptp.hAPP_pname_a F X_1) (tptp.hAPP_pname_a F X_1))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A)))) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A)))))) :rule trans :premises (t28.t10 t28.t11))
% 6.71/6.91 (step t28 (cl (= (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (= (tptp.hAPP_pname_a F X_1) (tptp.hAPP_pname_a F X_1))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))))) (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))))))) :rule bind)
% 6.71/6.91 (step t29 (cl (= (forall ((A tptp.fun_pname_bool) (B_3 tptp.x_a) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (= B_3 (tptp.hAPP_pname_a F X_1))) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_3) (tptp.image_pname_a F A))))) (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))))))) :rule trans :premises (t27 t28))
% 6.71/6.91 (step t30 (cl (= (forall ((A tptp.fun_pname_bool) (B_3 tptp.x_a) (F tptp.fun_pname_a) (X_1 tptp.pname)) (=> (= B_3 (tptp.hAPP_pname_a F X_1)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a B_3) (tptp.image_pname_a F A)))))) (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A))))))) :rule trans :premises (t26 t29))
% 6.71/6.91 (step t31 (cl (forall ((A tptp.fun_pname_bool) (F tptp.fun_pname_a) (X_1 tptp.pname)) (or (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname X_1) A))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a (tptp.hAPP_pname_a F X_1)) (tptp.image_pname_a F A)))))) :rule resolution :premises (t25 t30 a283))
% 6.71/6.91 (step t32 (cl) :rule resolution :premises (t7 t24 t31))
% 6.71/6.91
% 6.71/6.91 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.xaxILyH4Vi/cvc5---1.0.5_825.smt2
% 6.71/6.91 % cvc5---1.0.5 exiting
% 6.71/6.92 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------