%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW473_2 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 Jun 3 09:05:03 AM UTC 2026 % Result : Theorem 1.20s 1.41s % Output : Proof 1.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW473_2 : TPTP v9.2.1. Released v5.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n020.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 22:08:10 EDT 2026 % 0.16/0.35 % CPUTime : % 0.46/0.72 %----Proving TF0_NAR, FOF, or CNF % 1.20/1.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.20/1.41 % SZS status Theorem % 1.20/1.41 % SZS output start Proof % 1.20/1.41 ( % 1.20/1.41 (declare-sort tptp.option_com 0) % 1.20/1.41 (declare-sort tptp.com 0) % 1.20/1.41 (declare-sort tptp.fun_a_968466022l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu923319872a_bool 0) % 1.20/1.41 (declare-sort tptp.fun_a_762926252l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu277003770a_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu600484770t_bool 0) % 1.20/1.41 (declare-sort tptp.fun_na1632405922l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_na2122364079l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu911136611l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu2112074076e_bool 0) % 1.20/1.41 (declare-sort tptp.fun_pn1038293468l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu2087345469l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu616551101l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu1492573599e_bool 0) % 1.20/1.41 (declare-sort tptp.fun_pn1165013435l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu410713561e_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu1731003005a_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu821463397t_bool 0) % 1.20/1.41 (declare-sort tptp.fun_bool_bool 0) % 1.20/1.41 (declare-sort tptp.fun_a_fun_a_bool 0) % 1.20/1.41 (declare-sort tptp.fun_a_fun_pname_bool 0) % 1.20/1.41 (declare-sort tptp.fun_a_fun_nat_bool 0) % 1.20/1.41 (declare-sort tptp.fun_na1469252690l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_pn250273176l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu554186387l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu31783638l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu1016514960l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_a_pname 0) % 1.20/1.41 (declare-sort tptp.fun_na936072029e_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu900310687t_bool 0) % 1.20/1.41 (declare-sort tptp.fun_pn800050071e_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu1217155507l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_nat_a 0) % 1.20/1.41 (declare-sort tptp.fun_fu802393907l_bool 0) % 1.20/1.41 (declare-sort tptp.x_a 0) % 1.20/1.41 (declare-sort tptp.fun_pname_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu1911931399l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu255076663l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_pn406123357t_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu885608257l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_a_fun_bool_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu1438281908l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_nat_bool 0) % 1.20/1.41 (declare-sort tptp.bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu665170229_pname 0) % 1.20/1.41 (declare-sort tptp.fun_nat_fun_nat_bool 0) % 1.20/1.41 (declare-sort tptp.fun_a_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fun_a_bool_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu399576434l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu61768826l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_pn422929397l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_pname_fun_a_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu411113733ol_nat 0) % 1.20/1.41 (declare-sort tptp.fun_fu814369080l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_pname_nat 0) % 1.20/1.41 (declare-sort tptp.fun_fu140186515l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu1430349052l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_nat_fun_a_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu418465139l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_a_a 0) % 1.20/1.41 (declare-sort tptp.fun_fu425979586l_bool 0) % 1.20/1.41 (declare-sort tptp.nat 0) % 1.20/1.41 (declare-sort tptp.fun_fu1471507361l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu1499449723_pname 0) % 1.20/1.41 (declare-sort tptp.fun_fun_a_bool_pname 0) % 1.20/1.41 (declare-sort tptp.fun_a_nat 0) % 1.20/1.41 (declare-sort tptp.fun_fun_nat_bool_nat 0) % 1.20/1.41 (declare-sort tptp.fun_fu1668467777ol_nat 0) % 1.20/1.41 (declare-sort tptp.fun_fun_a_bool_nat 0) % 1.20/1.41 (declare-sort tptp.fun_pname_a 0) % 1.20/1.41 (declare-sort tptp.fun_fu1730389579ol_nat 0) % 1.20/1.41 (declare-sort tptp.pname 0) % 1.20/1.41 (declare-sort tptp.fun_fun_nat_bool_a 0) % 1.20/1.41 (declare-sort tptp.fun_pname_pname 0) % 1.20/1.41 (declare-sort tptp.fun_fun_pname_bool_a 0) % 1.20/1.41 (declare-sort tptp.fun_fu2020802748ol_nat 0) % 1.20/1.41 (declare-sort tptp.fun_fun_a_bool_a 0) % 1.20/1.41 (declare-sort tptp.fun_nat_pname 0) % 1.20/1.41 (declare-sort tptp.fun_nat_nat 0) % 1.20/1.41 (declare-sort tptp.fun_fu1436348701l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu931343505l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_fu386216885l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_na1436237685l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_a_1255737515l_bool 0) % 1.20/1.41 (declare-sort tptp.fun_bo1549164019l_bool 0) % 1.20/1.41 (declare-const tptp.pn tptp.pname) % 1.20/1.41 (declare-const tptp.na tptp.nat) % 1.20/1.41 (declare-const tptp.g tptp.fun_a_bool) % 1.20/1.41 (declare-const tptp.hAPP_f1476298914l_bool (-> tptp.fun_fu31783638l_bool tptp.fun_pname_bool tptp.fun_bool_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f1748468828l_bool (-> tptp.fun_fu1016514960l_bool tptp.fun_nat_bool tptp.fun_bool_bool)) % 1.20/1.41 (declare-const tptp.hAPP_a217006258l_bool (-> tptp.fun_a_968466022l_bool tptp.x_a tptp.fun_fu1430349052l_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f198738859l_bool (-> tptp.fun_fu554186387l_bool tptp.fun_a_bool tptp.fun_bool_bool)) % 1.20/1.41 (declare-const tptp.hAPP_a1392362872l_bool (-> tptp.fun_a_762926252l_bool tptp.x_a tptp.fun_fu425979586l_bool)) % 1.20/1.41 (declare-const tptp.hAPP_p393069232l_bool (-> tptp.fun_pn250273176l_bool tptp.pname tptp.fun_bool_bool)) % 1.20/1.41 (declare-const tptp.hAPP_n1006566506l_bool (-> tptp.fun_na1469252690l_bool tptp.nat tptp.fun_bool_bool)) % 1.20/1.41 (declare-const tptp.hAPP_a_fun_bool_bool (-> tptp.fun_a_fun_bool_bool tptp.x_a tptp.fun_bool_bool)) % 1.20/1.41 (declare-const tptp.hAPP_b589554111l_bool (-> tptp.fun_bo1549164019l_bool tptp.bool tptp.fun_bool_bool)) % 1.20/1.41 (declare-const tptp.ord_less_eq_bool tptp.fun_bo1549164019l_bool) % 1.20/1.41 (declare-const tptp.hAPP_f937997336l_bool (-> tptp.fun_fu61768826l_bool tptp.fun_fu814369080l_bool tptp.bool)) % 1.20/1.41 (declare-const tptp.image_a_fun_a_bool (-> tptp.fun_a_fun_a_bool tptp.fun_a_bool tptp.fun_fun_a_bool_bool)) % 1.20/1.41 (declare-const tptp.image_819518260e_bool (-> tptp.fun_a_fun_pname_bool tptp.fun_a_bool tptp.fun_fu1430349052l_bool)) % 1.20/1.41 (declare-const tptp.image_a_fun_nat_bool (-> tptp.fun_a_fun_nat_bool tptp.fun_a_bool tptp.fun_fu425979586l_bool)) % 1.20/1.41 (declare-const tptp.image_nat_nat (-> tptp.fun_nat_nat tptp.fun_nat_bool tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_nat_nat_bool (-> tptp.fun_nat_fun_nat_bool tptp.fun_nat_fun_nat_bool)) % 1.20/1.41 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.fun_nat_nat)) % 1.20/1.41 (declare-const tptp.hAPP_f55526627ol_nat (-> tptp.fun_fu1730389579ol_nat tptp.fun_fu1430349052l_bool tptp.nat)) % 1.20/1.41 (declare-const tptp.collect_nat (-> tptp.fun_nat_bool tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.cOMBS_nat_bool_bool (-> tptp.fun_na1469252690l_bool tptp.fun_nat_bool tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.cOMBS_1187019125l_bool (-> tptp.fun_fu1016514960l_bool tptp.fun_fu425979586l_bool tptp.fun_fu425979586l_bool)) % 1.20/1.41 (declare-const tptp.hAPP_a85458249l_bool (-> tptp.fun_a_1255737515l_bool tptp.x_a tptp.fun_fun_a_bool_bool)) % 1.20/1.41 (declare-const tptp.hAPP_p338031245l_bool (-> tptp.fun_pn422929397l_bool tptp.pname tptp.fun_fu1430349052l_bool)) % 1.20/1.41 (declare-const tptp.hAPP_n215258509l_bool (-> tptp.fun_na1436237685l_bool tptp.nat tptp.fun_fu425979586l_bool)) % 1.20/1.41 (declare-const tptp.member_nat tptp.fun_na1436237685l_bool) % 1.20/1.41 (declare-const tptp.ord_le1375614389l_bool tptp.fun_fu418465139l_bool) % 1.20/1.41 (declare-const tptp.collect_a (-> tptp.fun_a_bool tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.member_fun_a_bool tptp.fun_fu386216885l_bool) % 1.20/1.41 (declare-const tptp.ord_le675606854l_bool tptp.fun_fu1911931399l_bool) % 1.20/1.41 (declare-const tptp.cOMBS_568398431l_bool (-> tptp.fun_pn250273176l_bool tptp.fun_pname_bool tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f556039215l_bool (-> tptp.fun_fu931343505l_bool tptp.fun_pname_bool tptp.fun_fu399576434l_bool)) % 1.20/1.41 (declare-const tptp.member799430823e_bool tptp.fun_fu931343505l_bool) % 1.20/1.41 (declare-const tptp.ord_le1454342156l_bool tptp.fun_fu140186515l_bool) % 1.20/1.41 (declare-const tptp.collect_pname (-> tptp.fun_pname_bool tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.p (-> tptp.fun_a_bool tptp.fun_fun_a_bool_bool)) % 1.20/1.41 (declare-const tptp.member_fun_nat_bool tptp.fun_fu1436348701l_bool) % 1.20/1.41 (declare-const tptp.hAPP_nat_nat (-> tptp.fun_nat_nat tptp.nat tptp.nat)) % 1.20/1.41 (declare-const tptp.suc tptp.fun_nat_nat) % 1.20/1.41 (declare-const tptp.hAPP_f510955609l_bool (-> tptp.fun_fu1911931399l_bool tptp.fun_fu1430349052l_bool tptp.fun_fu399576434l_bool)) % 1.20/1.41 (declare-const tptp.image_nat_pname (-> tptp.fun_nat_pname tptp.fun_nat_bool tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.cOMBS_350070575l_bool (-> tptp.fun_fu31783638l_bool tptp.fun_fu1430349052l_bool tptp.fun_fu1430349052l_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f22106695ol_nat (-> tptp.fun_fun_nat_bool_nat tptp.fun_nat_bool tptp.nat)) % 1.20/1.41 (declare-const tptp.cOMBB_444170502t_bool (-> tptp.fun_bo1549164019l_bool tptp.fun_fu425979586l_bool tptp.fun_fu1016514960l_bool)) % 1.20/1.41 (declare-const tptp.fequal_pname tptp.fun_pn800050071e_bool) % 1.20/1.41 (declare-const tptp.fconj tptp.fun_bo1549164019l_bool) % 1.20/1.41 (declare-const tptp.finite_card_nat tptp.fun_fun_nat_bool_nat) % 1.20/1.41 (declare-const tptp.hAPP_f103356543l_bool (-> tptp.fun_fu1217155507l_bool tptp.fun_nat_bool tptp.fun_fu425979586l_bool)) % 1.20/1.41 (declare-const tptp.image_pname_nat (-> tptp.fun_pname_nat tptp.fun_pname_bool tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.image_fun_a_bool_a (-> tptp.fun_fun_a_bool_a tptp.fun_fun_a_bool_bool tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.fdisj tptp.fun_bo1549164019l_bool) % 1.20/1.41 (declare-const tptp.cOMBB_2095475776e_bool (-> tptp.fun_bo1549164019l_bool tptp.fun_fu1430349052l_bool tptp.fun_fu31783638l_bool)) % 1.20/1.41 (declare-const tptp.finite1306199131a_bool tptp.fun_fu2020802748ol_nat) % 1.20/1.41 (declare-const tptp.image_876012084bool_a (-> tptp.fun_fun_pname_bool_a tptp.fun_fu1430349052l_bool tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.finite1340463720e_bool tptp.fun_fu1730389579ol_nat) % 1.20/1.41 (declare-const tptp.hAPP_f1951378235l_bool (-> tptp.fun_fu1436348701l_bool tptp.fun_nat_bool tptp.fun_fu814369080l_bool)) % 1.20/1.41 (declare-const tptp.image_fun_nat_bool_a (-> tptp.fun_fun_nat_bool_a tptp.fun_fu425979586l_bool tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f696928925ol_nat (-> tptp.fun_fu411113733ol_nat tptp.fun_fu425979586l_bool tptp.nat)) % 1.20/1.41 (declare-const tptp.the_com (-> tptp.option_com tptp.com)) % 1.20/1.41 (declare-const tptp.image_a_a (-> tptp.fun_a_a tptp.fun_a_bool tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.hAPP_fun_a_bool_nat (-> tptp.fun_fun_a_bool_nat tptp.fun_a_bool tptp.nat)) % 1.20/1.41 (declare-const tptp.finite_card_a tptp.fun_fun_a_bool_nat) % 1.20/1.41 (declare-const tptp.hAPP_f800510211t_bool (-> tptp.fun_fu821463397t_bool tptp.fun_nat_bool tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.hAPP_nat_bool (-> tptp.fun_nat_bool tptp.nat tptp.bool)) % 1.20/1.41 (declare-const tptp.image_pname_pname (-> tptp.fun_pname_pname tptp.fun_pname_bool tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f921600141ol_nat (-> tptp.fun_fu1668467777ol_nat tptp.fun_pname_bool tptp.nat)) % 1.20/1.41 (declare-const tptp.finite_card_pname tptp.fun_fu1668467777ol_nat) % 1.20/1.41 (declare-const tptp.insert_a (-> tptp.x_a tptp.fun_a_bool tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_1972296269bool_a (-> tptp.fun_bo1549164019l_bool tptp.fun_a_bool tptp.fun_a_fun_bool_bool)) % 1.20/1.41 (declare-const tptp.insert_nat (-> tptp.nat tptp.fun_nat_bool tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.insert_pname (-> tptp.pname tptp.fun_pname_bool tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_675860798_pname (-> tptp.fun_bo1549164019l_bool tptp.fun_pname_bool tptp.fun_pn250273176l_bool)) % 1.20/1.41 (declare-const tptp.insert_fun_a_bool (-> tptp.fun_a_bool tptp.fun_fun_a_bool_bool tptp.fun_fun_a_bool_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_1015721476ol_nat (-> tptp.fun_bo1549164019l_bool tptp.fun_nat_bool tptp.fun_na1469252690l_bool)) % 1.20/1.41 (declare-const tptp.fFalse tptp.bool) % 1.20/1.41 (declare-const tptp.insert1325755072e_bool (-> tptp.fun_pname_bool tptp.fun_fu1430349052l_bool tptp.fun_fu1430349052l_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_338059395a_bool (-> tptp.fun_bo1549164019l_bool tptp.fun_fun_a_bool_bool tptp.fun_fu554186387l_bool)) % 1.20/1.41 (declare-const tptp.fTrue tptp.bool) % 1.20/1.41 (declare-const tptp.insert_fun_nat_bool (-> tptp.fun_nat_bool tptp.fun_fu425979586l_bool tptp.fun_fu425979586l_bool)) % 1.20/1.41 (declare-const tptp.image_pname_a (-> tptp.fun_pname_a tptp.fun_pname_bool tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f621171935l_bool (-> tptp.fun_fu885608257l_bool tptp.fun_fun_a_bool_bool tptp.bool)) % 1.20/1.41 (declare-const tptp.finite_finite_a tptp.fun_fun_a_bool_bool) % 1.20/1.41 (declare-const tptp.finite347923420a_bool tptp.fun_fu885608257l_bool) % 1.20/1.41 (declare-const tptp.hAPP_f292226953l_bool (-> tptp.fun_fu255076663l_bool tptp.fun_fu885608257l_bool tptp.bool)) % 1.20/1.41 (declare-const tptp.bot_bo1389914601l_bool tptp.fun_fun_a_bool_bool) % 1.20/1.41 (declare-const tptp.collec1974731493e_bool (-> tptp.fun_fu1430349052l_bool tptp.fun_fu1430349052l_bool)) % 1.20/1.41 (declare-const tptp.collec707592106l_bool (-> tptp.fun_fu885608257l_bool tptp.fun_fu885608257l_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_331553030l_bool (-> tptp.fun_fu418465139l_bool tptp.fun_fu418465139l_bool)) % 1.20/1.41 (declare-const tptp.image_nat_a (-> tptp.fun_nat_a tptp.fun_nat_bool tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f1935102916l_bool (-> tptp.fun_fu399576434l_bool tptp.fun_fu1430349052l_bool tptp.bool)) % 1.20/1.41 (declare-const tptp.finite1701474069l_bool tptp.fun_fu61768826l_bool) % 1.20/1.41 (declare-const tptp.finite595471783e_bool tptp.fun_fu399576434l_bool) % 1.20/1.41 (declare-const tptp.hAPP_f2117159681l_bool (-> tptp.fun_fu911136611l_bool tptp.fun_fun_a_bool_bool tptp.fun_fun_a_bool_bool)) % 1.20/1.41 (declare-const tptp.finite786885583l_bool tptp.fun_fu1438281908l_bool) % 1.20/1.41 (declare-const tptp.ord_less_eq_nat tptp.fun_nat_fun_nat_bool) % 1.20/1.41 (declare-const tptp.hAPP_f389811538l_bool (-> tptp.fun_fu1438281908l_bool tptp.fun_fu399576434l_bool tptp.bool)) % 1.20/1.41 (declare-const tptp.bot_bo1701429464l_bool tptp.fun_fu425979586l_bool) % 1.20/1.41 (declare-const tptp.collect_fun_nat_bool (-> tptp.fun_fu425979586l_bool tptp.fun_fu425979586l_bool)) % 1.20/1.41 (declare-const tptp.wt (-> tptp.com tptp.bool)) % 1.20/1.41 (declare-const tptp.collec1613912337l_bool (-> tptp.fun_fu399576434l_bool tptp.fun_fu399576434l_bool)) % 1.20/1.41 (declare-const tptp.hBOOL (-> tptp.bool Bool)) % 1.20/1.41 (declare-const tptp.ord_le1311769555a_bool tptp.fun_fu1471507361l_bool) % 1.20/1.41 (declare-const tptp.member_pname tptp.fun_pn422929397l_bool) % 1.20/1.41 (declare-const tptp.ord_le1568362934t_bool tptp.fun_fu1217155507l_bool) % 1.20/1.41 (declare-const tptp.hAPP_f1434722111l_bool (-> tptp.fun_fu418465139l_bool tptp.fun_fun_a_bool_bool tptp.fun_fu885608257l_bool)) % 1.20/1.41 (declare-const tptp.finite1381704300l_bool tptp.fun_fu255076663l_bool) % 1.20/1.41 (declare-const tptp.hAPP_fun_a_bool_bool (-> tptp.fun_fun_a_bool_bool tptp.fun_a_bool tptp.bool)) % 1.20/1.41 (declare-const tptp.image_1655916159e_bool (-> tptp.fun_na936072029e_bool tptp.fun_nat_bool tptp.fun_fu1430349052l_bool)) % 1.20/1.41 (declare-const tptp.image_26036933t_bool (-> tptp.fun_nat_fun_nat_bool tptp.fun_nat_bool tptp.fun_fu425979586l_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f285962445l_bool (-> tptp.fun_fu386216885l_bool tptp.fun_a_bool tptp.fun_fu885608257l_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_595898202l_bool (-> tptp.fun_fu140186515l_bool tptp.fun_fu140186515l_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_7971162l_bool (-> tptp.fun_fu1911931399l_bool tptp.fun_fu1911931399l_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f1631501043l_bool (-> tptp.fun_fu1471507361l_bool tptp.fun_a_bool tptp.fun_fun_a_bool_bool)) % 1.20/1.41 (declare-const tptp.image_1283814551_pname (-> tptp.fun_fu1499449723_pname tptp.fun_fu1430349052l_bool tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.finite_finite_pname tptp.fun_fu1430349052l_bool) % 1.20/1.41 (declare-const tptp.hAPP_f1772781669l_bool (-> tptp.fun_fu140186515l_bool tptp.fun_fu425979586l_bool tptp.fun_fu814369080l_bool)) % 1.20/1.41 (declare-const tptp.bot_bo844097828e_bool tptp.fun_pname_bool) % 1.20/1.41 (declare-const tptp.collect_fun_a_bool (-> tptp.fun_fun_a_bool_bool tptp.fun_fun_a_bool_bool)) % 1.20/1.41 (declare-const tptp.mgt_call tptp.fun_pname_a) % 1.20/1.41 (declare-const tptp.cOMBC_1284144636l_bool (-> tptp.fun_fu802393907l_bool tptp.fun_fu802393907l_bool)) % 1.20/1.41 (declare-const tptp.collec1015864663l_bool (-> tptp.fun_fu814369080l_bool tptp.fun_fu814369080l_bool)) % 1.20/1.41 (declare-const tptp.member_a tptp.fun_a_1255737515l_bool) % 1.20/1.41 (declare-const tptp.ord_le313189616e_bool tptp.fun_fu802393907l_bool) % 1.20/1.41 (declare-const tptp.image_1854862208_pname (-> tptp.fun_fun_a_bool_pname tptp.fun_fun_a_bool_bool tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f2009550088ol_nat (-> tptp.fun_fu2020802748ol_nat tptp.fun_fun_a_bool_bool tptp.nat)) % 1.20/1.41 (declare-const tptp.finite_finite_nat tptp.fun_fu425979586l_bool) % 1.20/1.41 (declare-const tptp.finite2012431853t_bool tptp.fun_fu814369080l_bool) % 1.20/1.41 (declare-const tptp.cOMBS_1035972772l_bool (-> tptp.fun_fu554186387l_bool tptp.fun_fun_a_bool_bool tptp.fun_fun_a_bool_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f54304608l_bool (-> tptp.fun_fu425979586l_bool tptp.fun_nat_bool tptp.bool)) % 1.20/1.41 (declare-const tptp.hAPP_f1637334154l_bool (-> tptp.fun_fu814369080l_bool tptp.fun_fu425979586l_bool tptp.bool)) % 1.20/1.41 (declare-const tptp.nat_case_bool (-> tptp.bool tptp.fun_nat_bool tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.hAPP_n1699378549t_bool (-> tptp.fun_nat_fun_nat_bool tptp.nat tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_1732670874l_bool (-> tptp.fun_fu1471507361l_bool tptp.fun_fu1471507361l_bool)) % 1.20/1.41 (declare-const tptp.image_a_nat (-> tptp.fun_a_nat tptp.fun_a_bool tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.cOMBS_a_bool_bool (-> tptp.fun_a_fun_bool_bool tptp.fun_a_bool tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f434788991l_bool (-> tptp.fun_fu802393907l_bool tptp.fun_pname_bool tptp.fun_fu1430349052l_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f1664156314l_bool (-> tptp.fun_fu1430349052l_bool tptp.fun_pname_bool tptp.bool)) % 1.20/1.41 (declare-const tptp.image_1921560913_pname (-> tptp.fun_fu665170229_pname tptp.fun_fu425979586l_bool tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_1693257480l_bool (-> tptp.fun_fu1217155507l_bool tptp.fun_fu1217155507l_bool)) % 1.20/1.41 (declare-const tptp.image_47868345e_bool (-> tptp.fun_pn800050071e_bool tptp.fun_pname_bool tptp.fun_fu1430349052l_bool)) % 1.20/1.41 (declare-const tptp.finite346522414t_bool tptp.fun_fu411113733ol_nat) % 1.20/1.41 (declare-const tptp.image_2129980159t_bool (-> tptp.fun_pn406123357t_bool tptp.fun_pname_bool tptp.fun_fu425979586l_bool)) % 1.20/1.41 (declare-const tptp.image_112932426a_bool (-> tptp.fun_pname_fun_a_bool tptp.fun_pname_bool tptp.fun_fun_a_bool_bool)) % 1.20/1.41 (declare-const tptp.image_nat_fun_a_bool (-> tptp.fun_nat_fun_a_bool tptp.fun_nat_bool tptp.fun_fun_a_bool_bool)) % 1.20/1.41 (declare-const tptp.image_a_pname (-> tptp.fun_a_pname tptp.fun_a_bool tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.image_496248727ol_nat (-> tptp.fun_fun_nat_bool_nat tptp.fun_fu425979586l_bool tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.image_1551609309ol_nat (-> tptp.fun_fu1668467777ol_nat tptp.fun_fu1430349052l_bool tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.image_fun_a_bool_nat (-> tptp.fun_fun_a_bool_nat tptp.fun_fun_a_bool_bool tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.hAPP_bool_bool (-> tptp.fun_bool_bool tptp.bool tptp.bool)) % 1.20/1.41 (declare-const tptp.hAPP_n1025906991e_bool (-> tptp.fun_na936072029e_bool tptp.nat tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.hAPP_nat_fun_a_bool (-> tptp.fun_nat_fun_a_bool tptp.nat tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.hAPP_nat_pname (-> tptp.fun_nat_pname tptp.nat tptp.pname)) % 1.20/1.41 (declare-const tptp.cOMBB_1212655066ol_nat (-> tptp.fun_pn800050071e_bool tptp.fun_nat_pname tptp.fun_na936072029e_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_nat_pname_bool (-> tptp.fun_na936072029e_bool tptp.fun_pn406123357t_bool)) % 1.20/1.41 (declare-const tptp.hAPP_p1499970991t_bool (-> tptp.fun_pn406123357t_bool tptp.pname tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_226598744l_bool (-> tptp.fun_na1436237685l_bool tptp.fun_fu821463397t_bool)) % 1.20/1.41 (declare-const tptp.hAPP_a_pname (-> tptp.fun_a_pname tptp.x_a tptp.pname)) % 1.20/1.41 (declare-const tptp.cOMBB_610033911bool_a (-> tptp.fun_pn800050071e_bool tptp.fun_a_pname tptp.fun_a_fun_pname_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_a_pname_bool (-> tptp.fun_a_fun_pname_bool tptp.fun_pname_fun_a_bool)) % 1.20/1.41 (declare-const tptp.hAPP_p1534023578a_bool (-> tptp.fun_pname_fun_a_bool tptp.pname tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_1355376034l_bool (-> tptp.fun_a_1255737515l_bool tptp.fun_fu1731003005a_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f2050579477a_bool (-> tptp.fun_fu1731003005a_bool tptp.fun_a_bool tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.hAPP_pname_pname (-> tptp.fun_pname_pname tptp.pname tptp.pname)) % 1.20/1.41 (declare-const tptp.cOMBB_542850580_pname (-> tptp.fun_pn800050071e_bool tptp.fun_pname_pname tptp.fun_pn800050071e_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_1149511130e_bool (-> tptp.fun_pn800050071e_bool tptp.fun_pn800050071e_bool)) % 1.20/1.41 (declare-const tptp.hAPP_p61793385e_bool (-> tptp.fun_pn800050071e_bool tptp.pname tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_1058051404l_bool (-> tptp.fun_pn422929397l_bool tptp.fun_fu410713561e_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f759274231e_bool (-> tptp.fun_fu410713561e_bool tptp.fun_pname_bool tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f1291551745_pname (-> tptp.fun_fu665170229_pname tptp.fun_nat_bool tptp.pname)) % 1.20/1.41 (declare-const tptp.cOMBB_141086128t_bool (-> tptp.fun_pn800050071e_bool tptp.fun_fu665170229_pname tptp.fun_fu1492573599e_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_615407716e_bool (-> tptp.fun_fu1492573599e_bool tptp.fun_pn1165013435l_bool)) % 1.20/1.41 (declare-const tptp.hAPP_p130839763l_bool (-> tptp.fun_pn1165013435l_bool tptp.pname tptp.fun_fu425979586l_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_1245412066l_bool (-> tptp.fun_fu1436348701l_bool tptp.fun_fu616551101l_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f1246832597l_bool (-> tptp.fun_fu616551101l_bool tptp.fun_fu425979586l_bool tptp.fun_fu425979586l_bool)) % 1.20/1.41 (declare-const tptp.bot_bot_nat tptp.nat) % 1.20/1.41 (declare-const tptp.hAPP_f1297739591_pname (-> tptp.fun_fu1499449723_pname tptp.fun_pname_bool tptp.pname)) % 1.20/1.41 (declare-const tptp.cOMBB_598082538e_bool (-> tptp.fun_pn800050071e_bool tptp.fun_fu1499449723_pname tptp.fun_fu410713561e_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_1004116266e_bool (-> tptp.fun_fu410713561e_bool tptp.fun_pn422929397l_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_1988546018l_bool (-> tptp.fun_fu931343505l_bool tptp.fun_fu2087345469l_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f559147733l_bool (-> tptp.fun_fu2087345469l_bool tptp.fun_fu1430349052l_bool tptp.fun_fu1430349052l_bool)) % 1.20/1.41 (declare-const tptp.plus_plus_nat (-> tptp.nat tptp.fun_nat_nat)) % 1.20/1.41 (declare-const tptp.hAPP_f1128469712_pname (-> tptp.fun_fun_a_bool_pname tptp.fun_a_bool tptp.pname)) % 1.20/1.41 (declare-const tptp.cOMBB_1693087065a_bool (-> tptp.fun_pn800050071e_bool tptp.fun_fun_a_bool_pname tptp.fun_fu2112074076e_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_1738168533e_bool (-> tptp.fun_fu2112074076e_bool tptp.fun_pn1038293468l_bool)) % 1.20/1.41 (declare-const tptp.hAPP_p1824510254l_bool (-> tptp.fun_pn1038293468l_bool tptp.pname tptp.fun_fun_a_bool_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_1880041174l_bool (-> tptp.fun_fu386216885l_bool tptp.fun_fu911136611l_bool)) % 1.20/1.41 (declare-const tptp.fequal_nat tptp.fun_nat_fun_nat_bool) % 1.20/1.41 (declare-const tptp.cOMBB_800536526ol_nat (-> tptp.fun_nat_fun_nat_bool tptp.fun_nat_nat tptp.fun_nat_fun_nat_bool)) % 1.20/1.41 (declare-const tptp.hAPP_a_nat (-> tptp.fun_a_nat tptp.x_a tptp.nat)) % 1.20/1.41 (declare-const tptp.cOMBB_1321347587bool_a (-> tptp.fun_nat_fun_nat_bool tptp.fun_a_nat tptp.fun_a_fun_nat_bool)) % 1.20/1.41 (declare-const tptp.fequal_fun_a_bool tptp.fun_fu1471507361l_bool) % 1.20/1.41 (declare-const tptp.cOMBC_a_nat_bool (-> tptp.fun_a_fun_nat_bool tptp.fun_nat_fun_a_bool)) % 1.20/1.41 (declare-const tptp.hAPP_pname_nat (-> tptp.fun_pname_nat tptp.pname tptp.nat)) % 1.20/1.41 (declare-const tptp.cOMBB_523834888_pname (-> tptp.fun_nat_fun_nat_bool tptp.fun_pname_nat tptp.fun_pn406123357t_bool)) % 1.20/1.41 (declare-const tptp.fequal_fun_nat_bool tptp.fun_fu1217155507l_bool) % 1.20/1.41 (declare-const tptp.cOMBC_pname_nat_bool (-> tptp.fun_pn406123357t_bool tptp.fun_na936072029e_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_1250273980t_bool (-> tptp.fun_nat_fun_nat_bool tptp.fun_fun_nat_bool_nat tptp.fun_fu821463397t_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_385542954t_bool (-> tptp.fun_fu821463397t_bool tptp.fun_na1436237685l_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_1896684278e_bool (-> tptp.fun_nat_fun_nat_bool tptp.fun_fu1668467777ol_nat tptp.fun_fu900310687t_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_1666426608t_bool (-> tptp.fun_fu900310687t_bool tptp.fun_na2122364079l_bool)) % 1.20/1.41 (declare-const tptp.hAPP_n850744903l_bool (-> tptp.fun_na2122364079l_bool tptp.nat tptp.fun_fu1430349052l_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_164527437a_bool (-> tptp.fun_nat_fun_nat_bool tptp.fun_fun_a_bool_nat tptp.fun_fu600484770t_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_619334683t_bool (-> tptp.fun_fu600484770t_bool tptp.fun_na1632405922l_bool)) % 1.20/1.41 (declare-const tptp.hAPP_n1414589940l_bool (-> tptp.fun_na1632405922l_bool tptp.nat tptp.fun_fun_a_bool_bool)) % 1.20/1.41 (declare-const tptp.hAPP_nat_a (-> tptp.fun_nat_a tptp.nat tptp.x_a)) % 1.20/1.41 (declare-const tptp.fequal_a tptp.fun_a_fun_a_bool) % 1.20/1.41 (declare-const tptp.cOMBB_1885489796ol_nat (-> tptp.fun_a_fun_a_bool tptp.fun_nat_a tptp.fun_nat_fun_a_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_nat_a_bool (-> tptp.fun_nat_fun_a_bool tptp.fun_a_fun_nat_bool)) % 1.20/1.41 (declare-const tptp.hAPP_a_fun_nat_bool (-> tptp.fun_a_fun_nat_bool tptp.x_a tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_2026977092ol_nat (-> tptp.fun_fu1217155507l_bool tptp.fun_nat_fun_nat_bool tptp.fun_na1436237685l_bool)) % 1.20/1.41 (declare-const tptp.fequal533582459e_bool tptp.fun_fu802393907l_bool) % 1.20/1.41 (declare-const tptp.cOMBB_2117322052ol_nat (-> tptp.fun_fu802393907l_bool tptp.fun_na936072029e_bool tptp.fun_na2122364079l_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_386238098l_bool (-> tptp.fun_na2122364079l_bool tptp.fun_fu900310687t_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f1066163005t_bool (-> tptp.fun_fu900310687t_bool tptp.fun_pname_bool tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_1823939024ol_nat (-> tptp.fun_fu1471507361l_bool tptp.fun_nat_fun_a_bool tptp.fun_na1632405922l_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_1928494297l_bool (-> tptp.fun_na1632405922l_bool tptp.fun_fu600484770t_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f282463732t_bool (-> tptp.fun_fu600484770t_bool tptp.fun_a_bool tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_928955006_pname (-> tptp.fun_fu1217155507l_bool tptp.fun_pn406123357t_bool tptp.fun_pn1165013435l_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_267053842l_bool (-> tptp.fun_pn1165013435l_bool tptp.fun_fu1492573599e_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f654413245e_bool (-> tptp.fun_fu1492573599e_bool tptp.fun_nat_bool tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_408569982_pname (-> tptp.fun_fu802393907l_bool tptp.fun_pn800050071e_bool tptp.fun_pn422929397l_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_392435466_pname (-> tptp.fun_fu1471507361l_bool tptp.fun_pname_fun_a_bool tptp.fun_pn1038293468l_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_445755039l_bool (-> tptp.fun_pn1038293468l_bool tptp.fun_fu2112074076e_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f1794073134e_bool (-> tptp.fun_fu2112074076e_bool tptp.fun_a_bool tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.hAPP_a_a (-> tptp.fun_a_a tptp.x_a tptp.x_a)) % 1.20/1.41 (declare-const tptp.cOMBB_a_fun_a_bool_a (-> tptp.fun_a_fun_a_bool tptp.fun_a_a tptp.fun_a_fun_a_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_a_a_bool (-> tptp.fun_a_fun_a_bool tptp.fun_a_fun_a_bool)) % 1.20/1.41 (declare-const tptp.hAPP_a_fun_a_bool (-> tptp.fun_a_fun_a_bool tptp.x_a tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_743407885bool_a (-> tptp.fun_fu1217155507l_bool tptp.fun_a_fun_nat_bool tptp.fun_a_762926252l_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_777206479l_bool (-> tptp.fun_a_762926252l_bool tptp.fun_fu277003770a_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f1549043526a_bool (-> tptp.fun_fu277003770a_bool tptp.fun_nat_bool tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.hAPP_a93125764e_bool (-> tptp.fun_a_fun_pname_bool tptp.x_a tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_1137537805bool_a (-> tptp.fun_fu802393907l_bool tptp.fun_a_fun_pname_bool tptp.fun_a_968466022l_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_1834145417l_bool (-> tptp.fun_a_968466022l_bool tptp.fun_fu923319872a_bool)) % 1.20/1.41 (declare-const tptp.hAPP_f1051908748a_bool (-> tptp.fun_fu923319872a_bool tptp.fun_pname_bool tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_472261505bool_a (-> tptp.fun_fu1471507361l_bool tptp.fun_a_fun_a_bool tptp.fun_a_1255737515l_bool)) % 1.20/1.41 (declare-const tptp.hAPP_pname_a (-> tptp.fun_pname_a tptp.pname tptp.x_a)) % 1.20/1.41 (declare-const tptp.cOMBB_1897541054_pname (-> tptp.fun_a_fun_a_bool tptp.fun_pname_a tptp.fun_pname_fun_a_bool)) % 1.20/1.41 (declare-const tptp.cOMBC_pname_a_bool (-> tptp.fun_pname_fun_a_bool tptp.fun_a_fun_pname_bool)) % 1.20/1.41 (declare-const tptp.fNot tptp.fun_bool_bool) % 1.20/1.41 (declare-const tptp.cOMBB_647938656_pname (-> tptp.fun_bool_bool tptp.fun_pname_bool tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.fimplies tptp.fun_bo1549164019l_bool) % 1.20/1.41 (declare-const tptp.cOMBB_238756964t_bool (-> tptp.fun_bool_bool tptp.fun_fu425979586l_bool tptp.fun_fu425979586l_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_307249310e_bool (-> tptp.fun_bool_bool tptp.fun_fu1430349052l_bool tptp.fun_fu1430349052l_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_2140588453a_bool (-> tptp.fun_bool_bool tptp.fun_fun_a_bool_bool tptp.fun_fun_a_bool_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_bool_bool_nat (-> tptp.fun_bool_bool tptp.fun_nat_bool tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.cOMBB_bool_bool_a (-> tptp.fun_bool_bool tptp.fun_a_bool tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.hAPP_pname_bool (-> tptp.fun_pname_bool tptp.pname tptp.bool)) % 1.20/1.41 (declare-const tptp.hAPP_a_bool (-> tptp.fun_a_bool tptp.x_a tptp.bool)) % 1.20/1.41 (declare-const tptp.bot_bot_fun_a_bool tptp.fun_a_bool) % 1.20/1.41 (declare-const tptp.mgt (-> tptp.com tptp.x_a)) % 1.20/1.41 (declare-const tptp.u tptp.fun_pname_bool) % 1.20/1.41 (declare-const tptp.bot_bot_fun_nat_bool tptp.fun_nat_bool) % 1.20/1.41 (declare-const tptp.bot_bo1649642514l_bool tptp.fun_fu1430349052l_bool) % 1.20/1.41 (declare-const tptp.cOMBK_bool_pname (-> tptp.bool tptp.fun_pname_bool)) % 1.20/1.41 (declare-const tptp.cOMBK_1994329625t_bool (-> tptp.bool tptp.fun_fu425979586l_bool)) % 1.20/1.41 (declare-const tptp.cOMBK_1857069011e_bool (-> tptp.bool tptp.fun_fu1430349052l_bool)) % 1.20/1.41 (declare-const tptp.cOMBK_324466864a_bool (-> tptp.bool tptp.fun_fun_a_bool_bool)) % 1.20/1.41 (declare-const tptp.cOMBK_bool_a (-> tptp.bool tptp.fun_a_bool)) % 1.20/1.41 (declare-const tptp.cOMBK_bool_nat (-> tptp.bool tptp.fun_nat_bool)) % 1.20/1.41 (declare-const tptp.bot_bot_bool tptp.bool) % 1.20/1.41 (declare-const tptp.cOMBK_a_pname (-> tptp.x_a tptp.fun_pname_a)) % 1.20/1.41 (declare-const tptp.body (-> tptp.pname tptp.option_com)) % 1.20/1.41 (declare-const tptp.one_one_nat tptp.nat) % 1.20/1.41 (declare-const tptp.ord_less_nat tptp.fun_nat_fun_nat_bool) % 1.20/1.41 (declare-const tptp.zero_zero_nat tptp.nat) % 1.20/1.41 (define @t1 () (@var "Ts" tptp.fun_a_bool)) % 1.20/1.41 (define @t2 () (@var "G" tptp.fun_a_bool)) % 1.20/1.41 (define @t3 () (tptp.p @t2)) % 1.20/1.41 (define @t4 () (@var "A_1" tptp.fun_fu425979586l_bool)) % 1.20/1.41 (define @t5 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t4))) % 1.20/1.41 (define @t6 () (@var "A_1" tptp.fun_fu1430349052l_bool)) % 1.20/1.41 (define @t7 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t6))) % 1.20/1.41 (define @t8 () (@var "A_1" tptp.fun_fun_a_bool_bool)) % 1.20/1.41 (define @t9 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t8))) % 1.20/1.42 (define @t10 () (@var "A_1" tptp.fun_a_bool)) % 1.20/1.42 (define @t11 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t10))) % 1.20/1.42 (define @t12 () (@list @t10)) % 1.20/1.42 (define @t13 () (@var "A_1" tptp.fun_pname_bool)) % 1.20/1.42 (define @t14 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t13))) % 1.20/1.42 (define @t15 () (@list @t13)) % 1.20/1.42 (define @t16 () (@var "A_1" tptp.fun_nat_bool)) % 1.20/1.42 (define @t17 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t16))) % 1.20/1.42 (define @t18 () (@list @t16)) % 1.20/1.42 (define @t19 () (@var "F_1" tptp.fun_pname_bool)) % 1.20/1.42 (define @t20 () (@var "H" tptp.fun_pn406123357t_bool)) % 1.20/1.42 (define @t21 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t19))) % 1.20/1.42 (define @t22 () (@var "H" tptp.fun_pn800050071e_bool)) % 1.20/1.42 (define @t23 () (@var "H" tptp.fun_pname_fun_a_bool)) % 1.20/1.42 (define @t24 () (@var "F_1" tptp.fun_nat_bool)) % 1.20/1.42 (define @t25 () (@var "H" tptp.fun_nat_a)) % 1.20/1.42 (define @t26 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t24))) % 1.20/1.42 (define @t27 () (@var "H" tptp.fun_nat_fun_nat_bool)) % 1.20/1.42 (define @t28 () (@var "H" tptp.fun_na936072029e_bool)) % 1.20/1.42 (define @t29 () (@var "H" tptp.fun_nat_fun_a_bool)) % 1.20/1.42 (define @t30 () (@var "F_1" tptp.fun_a_bool)) % 1.20/1.42 (define @t31 () (@var "H" tptp.fun_a_pname)) % 1.20/1.42 (define @t32 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t30))) % 1.20/1.42 (define @t33 () (@var "F_1" tptp.fun_fu425979586l_bool)) % 1.20/1.42 (define @t34 () (@var "H" tptp.fun_fu665170229_pname)) % 1.20/1.42 (define @t35 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t33))) % 1.20/1.42 (define @t36 () (@var "F_1" tptp.fun_fu1430349052l_bool)) % 1.20/1.42 (define @t37 () (@var "H" tptp.fun_fu1499449723_pname)) % 1.20/1.42 (define @t38 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t36))) % 1.20/1.42 (define @t39 () (@var "F_1" tptp.fun_fun_a_bool_bool)) % 1.20/1.42 (define @t40 () (@var "H" tptp.fun_fun_a_bool_pname)) % 1.20/1.42 (define @t41 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t39))) % 1.20/1.42 (define @t42 () (@var "H" tptp.fun_a_nat)) % 1.20/1.42 (define @t43 () (@var "H" tptp.fun_fun_nat_bool_nat)) % 1.20/1.42 (define @t44 () (@var "H" tptp.fun_fu1668467777ol_nat)) % 1.20/1.42 (define @t45 () (@var "H" tptp.fun_fun_a_bool_nat)) % 1.20/1.42 (define @t46 () (@var "H" tptp.fun_pname_a)) % 1.20/1.42 (define @t47 () (@var "A_3" tptp.fun_nat_bool)) % 1.20/1.42 (define @t48 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.insert_fun_nat_bool @t47 @t4)))) % 1.20/1.42 (define @t49 () (@list @t47 @t4)) % 1.20/1.42 (define @t50 () (@var "A_3" tptp.fun_pname_bool)) % 1.20/1.42 (define @t51 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.insert1325755072e_bool @t50 @t6)))) % 1.20/1.42 (define @t52 () (@list @t50 @t6)) % 1.20/1.42 (define @t53 () (@var "A_3" tptp.fun_a_bool)) % 1.20/1.42 (define @t54 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.insert_fun_a_bool @t53 @t8)))) % 1.20/1.42 (define @t55 () (@list @t53 @t8)) % 1.20/1.42 (define @t56 () (@var "A_3" tptp.pname)) % 1.20/1.42 (define @t57 () (tptp.insert_pname @t56 @t13)) % 1.20/1.42 (define @t58 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t57))) % 1.20/1.42 (define @t59 () (@list @t56 @t13)) % 1.20/1.42 (define @t60 () (@var "A_3" tptp.nat)) % 1.20/1.42 (define @t61 () (tptp.insert_nat @t60 @t16)) % 1.20/1.42 (define @t62 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t61))) % 1.20/1.42 (define @t63 () (@list @t60 @t16)) % 1.20/1.42 (define @t64 () (@var "A_3" tptp.x_a)) % 1.20/1.42 (define @t65 () (tptp.insert_a @t64 @t10)) % 1.20/1.42 (define @t66 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t65))) % 1.20/1.42 (define @t67 () (@list @t64 @t10)) % 1.20/1.42 (define @t68 () (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t13)) % 1.20/1.42 (define @t69 () (@var "F" tptp.fun_pname_pname)) % 1.20/1.42 (define @t70 () (tptp.image_pname_pname @t69 @t13)) % 1.20/1.42 (define @t71 () (@list @t69 @t13)) % 1.20/1.42 (define @t72 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t10)) % 1.20/1.42 (define @t73 () (@var "F" tptp.fun_a_a)) % 1.20/1.42 (define @t74 () (tptp.image_a_a @t73 @t10)) % 1.20/1.42 (define @t75 () (@list @t73 @t10)) % 1.20/1.42 (define @t76 () (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool @t4)) % 1.20/1.42 (define @t77 () (@var "F" tptp.fun_fun_nat_bool_a)) % 1.20/1.42 (define @t78 () (tptp.image_fun_nat_bool_a @t77 @t4)) % 1.20/1.42 (define @t79 () (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool @t6)) % 1.20/1.42 (define @t80 () (@var "F" tptp.fun_fun_pname_bool_a)) % 1.20/1.42 (define @t81 () (tptp.image_876012084bool_a @t80 @t6)) % 1.20/1.42 (define @t82 () (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool @t8)) % 1.20/1.42 (define @t83 () (@var "F" tptp.fun_fun_a_bool_a)) % 1.20/1.42 (define @t84 () (tptp.image_fun_a_bool_a @t83 @t8)) % 1.20/1.42 (define @t85 () (@var "F" tptp.fun_pname_nat)) % 1.20/1.42 (define @t86 () (tptp.image_pname_nat @t85 @t13)) % 1.20/1.42 (define @t87 () (@list @t85 @t13)) % 1.20/1.42 (define @t88 () (@var "F" tptp.fun_a_nat)) % 1.20/1.42 (define @t89 () (tptp.image_a_nat @t88 @t10)) % 1.20/1.42 (define @t90 () (@list @t88 @t10)) % 1.20/1.42 (define @t91 () (@var "F" tptp.fun_fun_nat_bool_nat)) % 1.20/1.42 (define @t92 () (tptp.image_496248727ol_nat @t91 @t4)) % 1.20/1.42 (define @t93 () (@list @t91 @t4)) % 1.20/1.42 (define @t94 () (@var "F" tptp.fun_fu1668467777ol_nat)) % 1.20/1.42 (define @t95 () (tptp.image_1551609309ol_nat @t94 @t6)) % 1.20/1.42 (define @t96 () (@list @t94 @t6)) % 1.20/1.42 (define @t97 () (@var "F" tptp.fun_fun_a_bool_nat)) % 1.20/1.42 (define @t98 () (tptp.image_fun_a_bool_nat @t97 @t8)) % 1.20/1.42 (define @t99 () (@list @t97 @t8)) % 1.20/1.42 (define @t100 () (@var "F" tptp.fun_a_pname)) % 1.20/1.42 (define @t101 () (tptp.image_a_pname @t100 @t10)) % 1.20/1.42 (define @t102 () (@list @t100 @t10)) % 1.20/1.42 (define @t103 () (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t16)) % 1.20/1.42 (define @t104 () (@var "F" tptp.fun_nat_pname)) % 1.20/1.42 (define @t105 () (tptp.image_nat_pname @t104 @t16)) % 1.20/1.42 (define @t106 () (@list @t104 @t16)) % 1.20/1.42 (define @t107 () (@var "F" tptp.fun_pname_a)) % 1.20/1.42 (define @t108 () (tptp.image_pname_a @t107 @t13)) % 1.20/1.42 (define @t109 () (@list @t107 @t13)) % 1.20/1.42 (define @t110 () (@var "B_6" tptp.fun_fu425979586l_bool)) % 1.20/1.42 (define @t111 () (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool @t110)) % 1.20/1.42 (define @t112 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t76)) % 1.20/1.42 (define @t113 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool @t4) @t110))) % 1.20/1.42 (define @t114 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t110))) % 1.20/1.42 (define @t115 () (@list @t4 @t110)) % 1.20/1.42 (define @t116 () (@var "B_6" tptp.fun_fu1430349052l_bool)) % 1.20/1.42 (define @t117 () (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool @t116)) % 1.20/1.42 (define @t118 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t79)) % 1.20/1.42 (define @t119 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool @t6) @t116))) % 1.20/1.42 (define @t120 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t116))) % 1.20/1.42 (define @t121 () (@list @t6 @t116)) % 1.20/1.42 (define @t122 () (@var "B_6" tptp.fun_fun_a_bool_bool)) % 1.20/1.42 (define @t123 () (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool @t122)) % 1.20/1.42 (define @t124 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t82)) % 1.20/1.42 (define @t125 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool @t8) @t122))) % 1.20/1.42 (define @t126 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t122))) % 1.20/1.42 (define @t127 () (@list @t8 @t122)) % 1.20/1.42 (define @t128 () (@var "B_6" tptp.fun_pname_bool)) % 1.20/1.42 (define @t129 () (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t128)) % 1.20/1.42 (define @t130 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t68)) % 1.20/1.42 (define @t131 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t13)) % 1.20/1.42 (define @t132 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 @t128))) % 1.20/1.42 (define @t133 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t128))) % 1.20/1.42 (define @t134 () (@list @t13 @t128)) % 1.20/1.42 (define @t135 () (@var "B_6" tptp.fun_a_bool)) % 1.20/1.42 (define @t136 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t135)) % 1.20/1.42 (define @t137 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t72)) % 1.20/1.42 (define @t138 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t10)) % 1.20/1.42 (define @t139 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t138 @t135))) % 1.20/1.42 (define @t140 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t135))) % 1.20/1.42 (define @t141 () (@list @t10 @t135)) % 1.20/1.42 (define @t142 () (@var "B_6" tptp.fun_nat_bool)) % 1.20/1.42 (define @t143 () (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t142)) % 1.20/1.42 (define @t144 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t103)) % 1.20/1.42 (define @t145 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t16)) % 1.20/1.42 (define @t146 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t145 @t142))) % 1.20/1.42 (define @t147 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t142))) % 1.20/1.42 (define @t148 () (@list @t16 @t142)) % 1.20/1.42 (define @t149 () (= @t13 @t128)) % 1.20/1.42 (define @t150 () (= @t10 @t135)) % 1.20/1.42 (define @t151 () (= @t16 @t142)) % 1.20/1.42 (define @t152 () (@var "X_3" tptp.fun_nat_bool)) % 1.20/1.42 (define @t153 () (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.insert_fun_nat_bool @t152 @t4))) % 1.20/1.42 (define @t154 () (@list @t152 @t4)) % 1.20/1.42 (define @t155 () (@var "X_3" tptp.fun_pname_bool)) % 1.20/1.42 (define @t156 () (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.insert1325755072e_bool @t155 @t6))) % 1.20/1.42 (define @t157 () (@list @t155 @t6)) % 1.20/1.42 (define @t158 () (@var "X_3" tptp.fun_a_bool)) % 1.20/1.42 (define @t159 () (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.insert_fun_a_bool @t158 @t8))) % 1.20/1.42 (define @t160 () (@list @t158 @t8)) % 1.20/1.42 (define @t161 () (@var "X_3" tptp.pname)) % 1.20/1.42 (define @t162 () (tptp.insert_pname @t161 @t13)) % 1.20/1.42 (define @t163 () (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t162)) % 1.20/1.42 (define @t164 () (@list @t161 @t13)) % 1.20/1.42 (define @t165 () (@var "X_3" tptp.nat)) % 1.20/1.42 (define @t166 () (tptp.insert_nat @t165 @t16)) % 1.20/1.42 (define @t167 () (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t166)) % 1.20/1.42 (define @t168 () (@list @t165 @t16)) % 1.20/1.42 (define @t169 () (@var "X_3" tptp.x_a)) % 1.20/1.42 (define @t170 () (tptp.insert_a @t169 @t10)) % 1.20/1.42 (define @t171 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t170)) % 1.20/1.42 (define @t172 () (@list @t169 @t10)) % 1.20/1.42 (define @t173 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool @t152) @t4))) % 1.20/1.42 (define @t174 () (=> (not @t173) (= @t153 (tptp.hAPP_nat_nat tptp.suc @t76)))) % 1.20/1.42 (define @t175 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool @t155) @t6))) % 1.20/1.42 (define @t176 () (=> (not @t175) (= @t156 (tptp.hAPP_nat_nat tptp.suc @t79)))) % 1.20/1.42 (define @t177 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool @t158) @t8))) % 1.20/1.42 (define @t178 () (=> (not @t177) (= @t159 (tptp.hAPP_nat_nat tptp.suc @t82)))) % 1.20/1.42 (define @t179 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t165)) % 1.20/1.42 (define @t180 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t179 @t16))) % 1.20/1.42 (define @t181 () (not @t180)) % 1.20/1.42 (define @t182 () (=> @t181 (= @t167 (tptp.hAPP_nat_nat tptp.suc @t103)))) % 1.20/1.42 (define @t183 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t161)) % 1.20/1.42 (define @t184 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t183 @t13))) % 1.20/1.42 (define @t185 () (not @t184)) % 1.20/1.42 (define @t186 () (=> @t185 (= @t163 (tptp.hAPP_nat_nat tptp.suc @t68)))) % 1.20/1.42 (define @t187 () (tptp.hAPP_a85458249l_bool tptp.member_a @t169)) % 1.20/1.42 (define @t188 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t187 @t10))) % 1.20/1.42 (define @t189 () (not @t188)) % 1.20/1.42 (define @t190 () (=> @t189 (= @t171 (tptp.hAPP_nat_nat tptp.suc @t72)))) % 1.20/1.42 (define @t191 () (@var "Q_1" tptp.fun_a_bool)) % 1.20/1.42 (define @t192 () (@var "Pa" tptp.fun_a_bool)) % 1.20/1.42 (define @t193 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a @t191)))) % 1.20/1.42 (define @t194 () (tptp.collect_a @t192)) % 1.20/1.42 (define @t195 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t194))) % 1.20/1.42 (define @t196 () (@var "Q_1" tptp.fun_fu425979586l_bool)) % 1.20/1.42 (define @t197 () (@var "Pa" tptp.fun_fu425979586l_bool)) % 1.20/1.42 (define @t198 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool @t196)))) % 1.20/1.42 (define @t199 () (tptp.collect_fun_nat_bool @t197)) % 1.20/1.42 (define @t200 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t199))) % 1.20/1.42 (define @t201 () (@var "Q_1" tptp.fun_fu1430349052l_bool)) % 1.20/1.42 (define @t202 () (@var "Pa" tptp.fun_fu1430349052l_bool)) % 1.20/1.42 (define @t203 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool @t201)))) % 1.20/1.42 (define @t204 () (tptp.collec1974731493e_bool @t202)) % 1.20/1.42 (define @t205 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t204))) % 1.20/1.42 (define @t206 () (@var "Q_1" tptp.fun_fun_a_bool_bool)) % 1.20/1.42 (define @t207 () (@var "Pa" tptp.fun_fun_a_bool_bool)) % 1.20/1.42 (define @t208 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool @t206)))) % 1.20/1.42 (define @t209 () (tptp.collect_fun_a_bool @t207)) % 1.20/1.42 (define @t210 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t209))) % 1.20/1.42 (define @t211 () (@var "Q_1" tptp.fun_pname_bool)) % 1.20/1.42 (define @t212 () (@var "Pa" tptp.fun_pname_bool)) % 1.20/1.42 (define @t213 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname @t211)))) % 1.20/1.42 (define @t214 () (tptp.collect_pname @t212)) % 1.20/1.42 (define @t215 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t214))) % 1.20/1.42 (define @t216 () (@var "Q_1" tptp.fun_nat_bool)) % 1.20/1.42 (define @t217 () (@var "Pa" tptp.fun_nat_bool)) % 1.20/1.42 (define @t218 () (tptp.cOMBB_1015721476ol_nat tptp.fconj @t217)) % 1.20/1.42 (define @t219 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat @t216)))) % 1.20/1.42 (define @t220 () (tptp.collect_nat @t217)) % 1.20/1.42 (define @t221 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t220))) % 1.20/1.42 (define @t222 () (@var "N" tptp.nat)) % 1.20/1.42 (define @t223 () (@var "M" tptp.nat)) % 1.20/1.42 (define @t224 () (tptp.minus_minus_nat @t223)) % 1.20/1.42 (define @t225 () (tptp.hAPP_nat_nat @t224 @t222)) % 1.20/1.42 (define @t226 () (tptp.hAPP_nat_nat tptp.suc @t223)) % 1.20/1.42 (define @t227 () (tptp.minus_minus_nat @t226)) % 1.20/1.42 (define @t228 () (tptp.hAPP_nat_nat @t227 @t222)) % 1.20/1.42 (define @t229 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t222)) % 1.20/1.42 (define @t230 () (tptp.hBOOL (tptp.hAPP_nat_bool @t229 @t223))) % 1.20/1.42 (define @t231 () (@list @t222 @t223)) % 1.20/1.42 (define @t232 () (@var "K_2" tptp.nat)) % 1.20/1.42 (define @t233 () (tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat)) % 1.20/1.42 (define @t234 () (@list @t232)) % 1.20/1.42 (define @t235 () (@var "Na" tptp.nat)) % 1.20/1.42 (define @t236 () (tptp.hAPP_nat_nat tptp.suc @t235)) % 1.20/1.42 (define @t237 () (@list @t235)) % 1.20/1.42 (define @t238 () (@var "Y" tptp.nat)) % 1.20/1.42 (define @t239 () (@var "X" tptp.nat)) % 1.20/1.42 (define @t240 () (= @t239 @t238)) % 1.20/1.42 (define @t241 () (@list @t239 @t238)) % 1.20/1.42 (define @t242 () (@var "Nat_2" tptp.nat)) % 1.20/1.42 (define @t243 () (@var "Nat_3" tptp.nat)) % 1.20/1.42 (define @t244 () (tptp.hAPP_nat_nat tptp.suc @t222)) % 1.20/1.42 (define @t245 () (@list @t222)) % 1.20/1.42 (define @t246 () (= @t223 @t222)) % 1.20/1.42 (define @t247 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t223)) % 1.20/1.42 (define @t248 () (tptp.hBOOL (tptp.hAPP_nat_bool @t247 @t222))) % 1.20/1.42 (define @t249 () (@list @t223 @t222)) % 1.20/1.42 (define @t250 () (@var "K" tptp.nat)) % 1.20/1.42 (define @t251 () (@var "I" tptp.nat)) % 1.20/1.42 (define @t252 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t251)) % 1.20/1.42 (define @t253 () (@var "J_2" tptp.nat)) % 1.20/1.42 (define @t254 () (tptp.hBOOL (tptp.hAPP_nat_bool @t252 @t253))) % 1.20/1.42 (define @t255 () (@list @t250 @t251 @t253)) % 1.20/1.42 (define @t256 () (tptp.minus_minus_nat @t251)) % 1.20/1.42 (define @t257 () (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat @t256 @t253)) @t250)) % 1.20/1.42 (define @t258 () (@list @t251 @t253 @t250)) % 1.20/1.42 (define @t259 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t226) @t222))) % 1.20/1.42 (define @t260 () (tptp.hBOOL (tptp.hAPP_nat_bool @t247 @t244))) % 1.20/1.42 (define @t261 () (@var "M_1" tptp.nat)) % 1.20/1.42 (define @t262 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t235)) % 1.20/1.42 (define @t263 () (tptp.hAPP_nat_nat tptp.suc @t261)) % 1.20/1.42 (define @t264 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t236)) % 1.20/1.42 (define @t265 () (@list @t235 @t261)) % 1.20/1.42 (define @t266 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t261)) % 1.20/1.42 (define @t267 () (tptp.hBOOL (tptp.hAPP_nat_bool @t266 @t235))) % 1.20/1.42 (define @t268 () (@list @t261 @t235)) % 1.20/1.42 (define @t269 () (tptp.hBOOL (tptp.hAPP_nat_bool @t264 @t261))) % 1.20/1.42 (define @t270 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t244)) % 1.20/1.42 (define @t271 () (@list @t223 @t222 @t250)) % 1.20/1.42 (define @t272 () (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t235) @t232)) % 1.20/1.42 (define @t273 () (tptp.minus_minus_nat @t261)) % 1.20/1.42 (define @t274 () (tptp.hAPP_nat_nat @t273 @t232)) % 1.20/1.42 (define @t275 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t232)) % 1.20/1.42 (define @t276 () (tptp.hBOOL (tptp.hAPP_nat_bool @t275 @t235))) % 1.20/1.42 (define @t277 () (tptp.hBOOL (tptp.hAPP_nat_bool @t275 @t261))) % 1.20/1.42 (define @t278 () (@list @t235 @t232 @t261)) % 1.20/1.42 (define @t279 () (tptp.minus_minus_nat @t222)) % 1.20/1.42 (define @t280 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t250)) % 1.20/1.42 (define @t281 () (tptp.hBOOL (tptp.hAPP_nat_bool @t280 @t222))) % 1.20/1.42 (define @t282 () (= @t261 @t235)) % 1.20/1.42 (define @t283 () (@var "L" tptp.nat)) % 1.20/1.42 (define @t284 () (@list @t283 @t223 @t222)) % 1.20/1.42 (define @t285 () (tptp.minus_minus_nat @t283)) % 1.20/1.42 (define @t286 () (tptp.hAPP_nat_nat @t285 @t223)) % 1.20/1.42 (define @t287 () (tptp.hAPP_nat_nat @t285 @t222)) % 1.20/1.42 (define @t288 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t135)) % 1.20/1.42 (define @t289 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t288 @t74))) % 1.20/1.42 (define @t290 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t288 @t78))) % 1.20/1.42 (define @t291 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t288 @t81))) % 1.20/1.42 (define @t292 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t288 @t84))) % 1.20/1.42 (define @t293 () (@var "F" tptp.fun_pn406123357t_bool)) % 1.20/1.42 (define @t294 () (tptp.image_2129980159t_bool @t293 @t13)) % 1.20/1.42 (define @t295 () (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool @t110)) % 1.20/1.42 (define @t296 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t295 @t294))) % 1.20/1.42 (define @t297 () (@var "F" tptp.fun_pn800050071e_bool)) % 1.20/1.42 (define @t298 () (tptp.image_47868345e_bool @t297 @t13)) % 1.20/1.42 (define @t299 () (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool @t116)) % 1.20/1.42 (define @t300 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t299 @t298))) % 1.20/1.42 (define @t301 () (@var "F" tptp.fun_pname_fun_a_bool)) % 1.20/1.42 (define @t302 () (tptp.image_112932426a_bool @t301 @t13)) % 1.20/1.42 (define @t303 () (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool @t122)) % 1.20/1.42 (define @t304 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t303 @t302))) % 1.20/1.42 (define @t305 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t128)) % 1.20/1.42 (define @t306 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t305 @t70))) % 1.20/1.42 (define @t307 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t142)) % 1.20/1.42 (define @t308 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t307 @t86))) % 1.20/1.42 (define @t309 () (@var "F" tptp.fun_nat_a)) % 1.20/1.42 (define @t310 () (tptp.image_nat_a @t309 @t16)) % 1.20/1.42 (define @t311 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t288 @t310))) % 1.20/1.42 (define @t312 () (@list @t135 @t309 @t16)) % 1.20/1.42 (define @t313 () (@var "F" tptp.fun_nat_fun_nat_bool)) % 1.20/1.42 (define @t314 () (tptp.image_26036933t_bool @t313 @t16)) % 1.20/1.42 (define @t315 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t295 @t314))) % 1.20/1.42 (define @t316 () (@var "F" tptp.fun_na936072029e_bool)) % 1.20/1.42 (define @t317 () (tptp.image_1655916159e_bool @t316 @t16)) % 1.20/1.42 (define @t318 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t299 @t317))) % 1.20/1.42 (define @t319 () (@var "F" tptp.fun_nat_fun_a_bool)) % 1.20/1.42 (define @t320 () (tptp.image_nat_fun_a_bool @t319 @t16)) % 1.20/1.42 (define @t321 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t303 @t320))) % 1.20/1.42 (define @t322 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t305 @t105))) % 1.20/1.42 (define @t323 () (@var "F" tptp.fun_nat_nat)) % 1.20/1.42 (define @t324 () (tptp.image_nat_nat @t323 @t16)) % 1.20/1.42 (define @t325 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t307 @t324))) % 1.20/1.42 (define @t326 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t305 @t101))) % 1.20/1.42 (define @t327 () (@list @t128 @t100 @t10)) % 1.20/1.42 (define @t328 () (@var "F" tptp.fun_fu665170229_pname)) % 1.20/1.42 (define @t329 () (tptp.image_1921560913_pname @t328 @t4)) % 1.20/1.42 (define @t330 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t305 @t329))) % 1.20/1.42 (define @t331 () (@var "F" tptp.fun_fu1499449723_pname)) % 1.20/1.42 (define @t332 () (tptp.image_1283814551_pname @t331 @t6)) % 1.20/1.42 (define @t333 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t305 @t332))) % 1.20/1.42 (define @t334 () (@var "F" tptp.fun_fun_a_bool_pname)) % 1.20/1.42 (define @t335 () (tptp.image_1854862208_pname @t334 @t8)) % 1.20/1.42 (define @t336 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t305 @t335))) % 1.20/1.42 (define @t337 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t307 @t89))) % 1.20/1.42 (define @t338 () (@list @t142 @t88 @t10)) % 1.20/1.42 (define @t339 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t307 @t92))) % 1.20/1.42 (define @t340 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t307 @t95))) % 1.20/1.42 (define @t341 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t307 @t98))) % 1.20/1.42 (define @t342 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t288 @t108))) % 1.20/1.42 (define @t343 () (@list @t135 @t107 @t13)) % 1.20/1.42 (define @t344 () (@var "C_7" tptp.fun_fu425979586l_bool)) % 1.20/1.42 (define @t345 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t344))) % 1.20/1.42 (define @t346 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool @t344) @t4))) % 1.20/1.42 (define @t347 () (@list @t344)) % 1.20/1.42 (define @t348 () (@var "C_7" tptp.fun_fu1430349052l_bool)) % 1.20/1.42 (define @t349 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t348))) % 1.20/1.42 (define @t350 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool @t348) @t6))) % 1.20/1.42 (define @t351 () (@list @t348)) % 1.20/1.42 (define @t352 () (@var "C_7" tptp.fun_fun_a_bool_bool)) % 1.20/1.42 (define @t353 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t352))) % 1.20/1.42 (define @t354 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool @t352) @t8))) % 1.20/1.42 (define @t355 () (@list @t352)) % 1.20/1.42 (define @t356 () (@var "C_7" tptp.fun_a_bool)) % 1.20/1.42 (define @t357 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t356))) % 1.20/1.42 (define @t358 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t356) @t10))) % 1.20/1.42 (define @t359 () (@list @t356)) % 1.20/1.42 (define @t360 () (@var "F" tptp.fun_a_fun_nat_bool)) % 1.20/1.42 (define @t361 () (tptp.image_a_fun_nat_bool @t360 @t10)) % 1.20/1.42 (define @t362 () (@var "F" tptp.fun_a_fun_pname_bool)) % 1.20/1.42 (define @t363 () (tptp.image_819518260e_bool @t362 @t10)) % 1.20/1.42 (define @t364 () (@var "F" tptp.fun_a_fun_a_bool)) % 1.20/1.42 (define @t365 () (tptp.image_a_fun_a_bool @t364 @t10)) % 1.20/1.42 (define @t366 () (@var "C_7" tptp.fun_pname_bool)) % 1.20/1.42 (define @t367 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t366))) % 1.20/1.42 (define @t368 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t366) @t13))) % 1.20/1.42 (define @t369 () (@list @t366)) % 1.20/1.42 (define @t370 () (@var "C_7" tptp.fun_nat_bool)) % 1.20/1.42 (define @t371 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t370))) % 1.20/1.42 (define @t372 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t370) @t16))) % 1.20/1.42 (define @t373 () (@list @t370)) % 1.20/1.42 (define @t374 () (@var "N_3" tptp.nat)) % 1.20/1.42 (define @t375 () (@var "F" tptp.fun_nat_bool)) % 1.20/1.42 (define @t376 () (tptp.hBOOL (tptp.hAPP_nat_bool @t262 @t374))) % 1.20/1.42 (define @t377 () (@var "N_2" tptp.nat)) % 1.20/1.42 (define @t378 () (tptp.hAPP_nat_nat tptp.suc @t377)) % 1.20/1.42 (define @t379 () (@list @t377)) % 1.20/1.42 (define @t380 () (tptp.hAPP_nat_nat @t323 @t377)) % 1.20/1.42 (define @t381 () (@var "X_1" tptp.nat)) % 1.20/1.42 (define @t382 () (tptp.hAPP_nat_pname @t104 @t381)) % 1.20/1.42 (define @t383 () (tptp.cOMBC_226598744l_bool tptp.member_nat)) % 1.20/1.42 (define @t384 () (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool @t383 @t16))) % 1.20/1.42 (define @t385 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t381)) % 1.20/1.42 (define @t386 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t385 @t16))) % 1.20/1.42 (define @t387 () (@list @t381)) % 1.20/1.42 (define @t388 () (not @t17)) % 1.20/1.42 (define @t389 () (@var "X_1" tptp.x_a)) % 1.20/1.42 (define @t390 () (tptp.hAPP_a_pname @t100 @t389)) % 1.20/1.42 (define @t391 () (tptp.cOMBC_1355376034l_bool tptp.member_a)) % 1.20/1.42 (define @t392 () (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_f2050579477a_bool @t391 @t10))) % 1.20/1.42 (define @t393 () (tptp.hAPP_a85458249l_bool tptp.member_a @t389)) % 1.20/1.42 (define @t394 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t393 @t10))) % 1.20/1.42 (define @t395 () (@list @t389)) % 1.20/1.42 (define @t396 () (not @t11)) % 1.20/1.42 (define @t397 () (@var "X_1" tptp.pname)) % 1.20/1.42 (define @t398 () (tptp.hAPP_pname_pname @t69 @t397)) % 1.20/1.42 (define @t399 () (tptp.cOMBC_1058051404l_bool tptp.member_pname)) % 1.20/1.42 (define @t400 () (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_f759274231e_bool @t399 @t13))) % 1.20/1.42 (define @t401 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t397)) % 1.20/1.42 (define @t402 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t401 @t13))) % 1.20/1.42 (define @t403 () (@list @t397)) % 1.20/1.42 (define @t404 () (not @t14)) % 1.20/1.42 (define @t405 () (@var "X_1" tptp.fun_nat_bool)) % 1.20/1.42 (define @t406 () (tptp.cOMBC_1245412066l_bool tptp.member_fun_nat_bool)) % 1.20/1.42 (define @t407 () (tptp.cOMBB_444170502t_bool tptp.fconj (tptp.hAPP_f1246832597l_bool @t406 @t4))) % 1.20/1.42 (define @t408 () (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool @t405)) % 1.20/1.42 (define @t409 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t408 @t4))) % 1.20/1.42 (define @t410 () (@list @t405)) % 1.20/1.42 (define @t411 () (not @t5)) % 1.20/1.42 (define @t412 () (@var "X_1" tptp.fun_pname_bool)) % 1.20/1.42 (define @t413 () (tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool)) % 1.20/1.42 (define @t414 () (tptp.cOMBB_2095475776e_bool tptp.fconj (tptp.hAPP_f559147733l_bool @t413 @t6))) % 1.20/1.42 (define @t415 () (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool @t412)) % 1.20/1.42 (define @t416 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t415 @t6))) % 1.20/1.42 (define @t417 () (@list @t412)) % 1.20/1.42 (define @t418 () (not @t7)) % 1.20/1.42 (define @t419 () (@var "X_1" tptp.fun_a_bool)) % 1.20/1.42 (define @t420 () (tptp.cOMBC_1880041174l_bool tptp.member_fun_a_bool)) % 1.20/1.42 (define @t421 () (tptp.cOMBB_338059395a_bool tptp.fconj (tptp.hAPP_f2117159681l_bool @t420 @t8))) % 1.20/1.42 (define @t422 () (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool @t419)) % 1.20/1.42 (define @t423 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t422 @t8))) % 1.20/1.42 (define @t424 () (@list @t419)) % 1.20/1.42 (define @t425 () (not @t9)) % 1.20/1.42 (define @t426 () (tptp.hAPP_a_nat @t88 @t389)) % 1.20/1.42 (define @t427 () (tptp.hAPP_pname_nat @t85 @t397)) % 1.20/1.42 (define @t428 () (tptp.hAPP_nat_a @t309 @t381)) % 1.20/1.42 (define @t429 () (tptp.hAPP_pname_a @t107 @t397)) % 1.20/1.42 (define @t430 () (@var "B_1" tptp.nat)) % 1.20/1.42 (define @t431 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t430)) % 1.20/1.42 (define @t432 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t431 @t86))) % 1.20/1.42 (define @t433 () (tptp.hAPP_pname_nat @t85 @t161)) % 1.20/1.42 (define @t434 () (= @t430 @t433)) % 1.20/1.42 (define @t435 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t431 @t89))) % 1.20/1.42 (define @t436 () (tptp.hAPP_a_nat @t88 @t169)) % 1.20/1.42 (define @t437 () (= @t430 @t436)) % 1.20/1.42 (define @t438 () (@var "B_1" tptp.pname)) % 1.20/1.42 (define @t439 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t438)) % 1.20/1.42 (define @t440 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t439 @t105))) % 1.20/1.42 (define @t441 () (tptp.hAPP_nat_pname @t104 @t165)) % 1.20/1.42 (define @t442 () (= @t438 @t441)) % 1.20/1.42 (define @t443 () (@var "B_1" tptp.x_a)) % 1.20/1.42 (define @t444 () (tptp.hAPP_a85458249l_bool tptp.member_a @t443)) % 1.20/1.42 (define @t445 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t444 @t310))) % 1.20/1.42 (define @t446 () (tptp.hAPP_nat_a @t309 @t165)) % 1.20/1.42 (define @t447 () (= @t443 @t446)) % 1.20/1.42 (define @t448 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t444 @t108))) % 1.20/1.42 (define @t449 () (=> @t184 @t448)) % 1.20/1.42 (define @t450 () (tptp.hAPP_pname_a @t107 @t161)) % 1.20/1.42 (define @t451 () (= @t443 @t450)) % 1.20/1.42 (define @t452 () (@list @t13 @t443 @t107 @t161)) % 1.20/1.42 (define @t453 () (forall @t452 (=> @t451 @t449))) % 1.20/1.42 (define @t454 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t305 @t13))) % 1.20/1.42 (define @t455 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t307 @t16))) % 1.20/1.42 (define @t456 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t288 @t10))) % 1.20/1.42 (define @t457 () (@var "C_1" tptp.nat)) % 1.20/1.42 (define @t458 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t457)) % 1.20/1.42 (define @t459 () (@var "C_1" tptp.pname)) % 1.20/1.42 (define @t460 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t459)) % 1.20/1.42 (define @t461 () (@var "C_1" tptp.x_a)) % 1.20/1.42 (define @t462 () (tptp.hAPP_a85458249l_bool tptp.member_a @t461)) % 1.20/1.42 (define @t463 () (tptp.insert_nat @t430 @t142)) % 1.20/1.42 (define @t464 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t60)) % 1.20/1.42 (define @t465 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t464 @t463))) % 1.20/1.42 (define @t466 () (= @t60 @t430)) % 1.20/1.42 (define @t467 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t464 @t142))) % 1.20/1.42 (define @t468 () (@list @t430 @t60 @t142)) % 1.20/1.42 (define @t469 () (tptp.insert_pname @t438 @t128)) % 1.20/1.42 (define @t470 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t56)) % 1.20/1.42 (define @t471 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t470 @t469))) % 1.20/1.42 (define @t472 () (= @t56 @t438)) % 1.20/1.42 (define @t473 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t470 @t128))) % 1.20/1.42 (define @t474 () (@list @t438 @t56 @t128)) % 1.20/1.42 (define @t475 () (tptp.insert_a @t443 @t135)) % 1.20/1.42 (define @t476 () (tptp.hAPP_a85458249l_bool tptp.member_a @t64)) % 1.20/1.42 (define @t477 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t476 @t475))) % 1.20/1.42 (define @t478 () (= @t64 @t443)) % 1.20/1.42 (define @t479 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t476 @t135))) % 1.20/1.42 (define @t480 () (@list @t443 @t64 @t135)) % 1.20/1.42 (define @t481 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t464 @t16))) % 1.20/1.42 (define @t482 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t464 (tptp.insert_nat @t430 @t16)))) % 1.20/1.42 (define @t483 () (@list @t60 @t430 @t16)) % 1.20/1.42 (define @t484 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t470 @t13))) % 1.20/1.42 (define @t485 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t470 (tptp.insert_pname @t438 @t13)))) % 1.20/1.42 (define @t486 () (@list @t56 @t438 @t13)) % 1.20/1.42 (define @t487 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t476 @t10))) % 1.20/1.42 (define @t488 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t476 (tptp.insert_a @t443 @t10)))) % 1.20/1.42 (define @t489 () (@list @t64 @t443 @t10)) % 1.20/1.42 (define @t490 () (@var "I_1" tptp.nat)) % 1.20/1.42 (define @t491 () (@var "M_2" tptp.nat)) % 1.20/1.42 (define @t492 () (@var "M_3" tptp.nat)) % 1.20/1.42 (define @t493 () (@list @t491)) % 1.20/1.42 (define @t494 () (tptp.insert_nat @t60 @t142)) % 1.20/1.42 (define @t495 () (@list @t60 @t142)) % 1.20/1.42 (define @t496 () (tptp.insert_pname @t56 @t128)) % 1.20/1.42 (define @t497 () (@list @t56 @t128)) % 1.20/1.42 (define @t498 () (tptp.insert_a @t64 @t135)) % 1.20/1.42 (define @t499 () (@list @t64 @t135)) % 1.20/1.42 (define @t500 () (tptp.cOMBC_1693257480l_bool tptp.fequal_fun_nat_bool)) % 1.20/1.42 (define @t501 () (tptp.hAPP_f103356543l_bool @t500 @t47)) % 1.20/1.42 (define @t502 () (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool)) % 1.20/1.42 (define @t503 () (tptp.hAPP_f434788991l_bool @t502 @t50)) % 1.20/1.42 (define @t504 () (tptp.cOMBC_1732670874l_bool tptp.fequal_fun_a_bool)) % 1.20/1.42 (define @t505 () (tptp.hAPP_f1631501043l_bool @t504 @t53)) % 1.20/1.42 (define @t506 () (tptp.cOMBC_nat_nat_bool tptp.fequal_nat)) % 1.20/1.42 (define @t507 () (tptp.hAPP_n1699378549t_bool @t506 @t60)) % 1.20/1.42 (define @t508 () (tptp.cOMBC_1149511130e_bool tptp.fequal_pname)) % 1.20/1.42 (define @t509 () (tptp.hAPP_p61793385e_bool @t508 @t56)) % 1.20/1.42 (define @t510 () (tptp.cOMBC_a_a_bool tptp.fequal_a)) % 1.20/1.42 (define @t511 () (tptp.hAPP_a_fun_a_bool @t510 @t64)) % 1.20/1.42 (define @t512 () (@var "Y_2" tptp.pname)) % 1.20/1.42 (define @t513 () (tptp.insert_pname @t512 @t13)) % 1.20/1.42 (define @t514 () (@var "Y_2" tptp.nat)) % 1.20/1.42 (define @t515 () (tptp.insert_nat @t514 @t16)) % 1.20/1.42 (define @t516 () (@var "Y_2" tptp.x_a)) % 1.20/1.42 (define @t517 () (tptp.insert_a @t516 @t10)) % 1.20/1.42 (define @t518 () (tptp.hBOOL (tptp.hAPP_pname_bool @t13 @t161))) % 1.20/1.42 (define @t519 () (tptp.hBOOL (tptp.hAPP_nat_bool @t16 @t165))) % 1.20/1.42 (define @t520 () (tptp.hBOOL (tptp.hAPP_a_bool @t10 @t169))) % 1.20/1.42 (define @t521 () (tptp.insert_nat @t165 @t142)) % 1.20/1.42 (define @t522 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t179 @t142))) % 1.20/1.42 (define @t523 () (@list @t142 @t165 @t16)) % 1.20/1.42 (define @t524 () (tptp.insert_pname @t161 @t128)) % 1.20/1.42 (define @t525 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t183 @t128))) % 1.20/1.42 (define @t526 () (@list @t128 @t161 @t13)) % 1.20/1.42 (define @t527 () (tptp.insert_a @t169 @t135)) % 1.20/1.42 (define @t528 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t187 @t135))) % 1.20/1.42 (define @t529 () (@list @t135 @t169 @t10)) % 1.20/1.42 (define @t530 () (@list @t165 @t16 @t142)) % 1.20/1.42 (define @t531 () (@list @t161 @t13 @t128)) % 1.20/1.42 (define @t532 () (@list @t169 @t10 @t135)) % 1.20/1.42 (define @t533 () (@list @t192)) % 1.20/1.42 (define @t534 () (@list @t212)) % 1.20/1.42 (define @t535 () (@list @t197)) % 1.20/1.42 (define @t536 () (@list @t202)) % 1.20/1.42 (define @t537 () (@list @t207)) % 1.20/1.42 (define @t538 () (@list @t217)) % 1.20/1.42 (define @t539 () (@var "C_6" tptp.fun_pname_bool)) % 1.20/1.42 (define @t540 () (@var "C_6" tptp.fun_nat_bool)) % 1.20/1.42 (define @t541 () (@var "C_6" tptp.fun_a_bool)) % 1.20/1.42 (define @t542 () (@var "Z_1" tptp.x_a)) % 1.20/1.42 (define @t543 () (@list @t85 @t161 @t13)) % 1.20/1.42 (define @t544 () (@list @t88 @t169 @t10)) % 1.20/1.42 (define @t545 () (@list @t309 @t165 @t16)) % 1.20/1.42 (define @t546 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t450) @t108))) % 1.20/1.42 (define @t547 () (@list @t107 @t161 @t13)) % 1.20/1.42 (define @t548 () (@var "Xa" tptp.fun_fu425979586l_bool)) % 1.20/1.42 (define @t549 () (@var "Xa" tptp.fun_fu1430349052l_bool)) % 1.20/1.42 (define @t550 () (@var "Xa" tptp.fun_fun_a_bool_bool)) % 1.20/1.42 (define @t551 () (@var "Xa" tptp.fun_nat_bool)) % 1.20/1.42 (define @t552 () (@var "Xa" tptp.fun_pname_bool)) % 1.20/1.42 (define @t553 () (@var "Xa" tptp.fun_a_bool)) % 1.20/1.42 (define @t554 () (@var "D_1" tptp.fun_pname_bool)) % 1.20/1.42 (define @t555 () (@var "D_1" tptp.fun_nat_bool)) % 1.20/1.42 (define @t556 () (@var "D_1" tptp.fun_a_bool)) % 1.20/1.42 (define @t557 () (tptp.image_a_pname @t100 @t135)) % 1.20/1.42 (define @t558 () (tptp.image_a_nat @t88 @t135)) % 1.20/1.42 (define @t559 () (tptp.image_nat_a @t309 @t142)) % 1.20/1.42 (define @t560 () (tptp.image_pname_a @t107 @t128)) % 1.20/1.42 (define @t561 () (@var "AA" tptp.fun_nat_bool)) % 1.20/1.42 (define @t562 () (@var "AA" tptp.fun_a_bool)) % 1.20/1.42 (define @t563 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t562) @t10))) % 1.20/1.42 (define @t564 () (@list @t562)) % 1.20/1.42 (define @t565 () (@var "AA" tptp.fun_pname_bool)) % 1.20/1.42 (define @t566 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t101)) % 1.20/1.42 (define @t567 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t89)) % 1.20/1.42 (define @t568 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t310)) % 1.20/1.42 (define @t569 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t108)) % 1.20/1.42 (define @t570 () (not @t386)) % 1.20/1.42 (define @t571 () (not @t402)) % 1.20/1.42 (define @t572 () (not @t394)) % 1.20/1.42 (define @t573 () (@var "X_3" tptp.bool)) % 1.20/1.42 (define @t574 () (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool @t573)) % 1.20/1.42 (define @t575 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t155)) % 1.20/1.42 (define @t576 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t152)) % 1.20/1.42 (define @t577 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t158)) % 1.20/1.42 (define @t578 () (@var "X_10" tptp.nat)) % 1.20/1.42 (define @t579 () (@var "N_1" tptp.fun_nat_bool)) % 1.20/1.42 (define @t580 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t385 @t579))) % 1.20/1.42 (define @t581 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t579))) % 1.20/1.42 (define @t582 () (@list @t579)) % 1.20/1.42 (define @t583 () (@var "C_1" tptp.com)) % 1.20/1.42 (define @t584 () (@var "G_1" tptp.fun_pname_bool)) % 1.20/1.42 (define @t585 () (@var "F" tptp.fun_pname_bool)) % 1.20/1.42 (define @t586 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t585) @t584))) % 1.20/1.42 (define @t587 () (@var "G_1" tptp.fun_nat_bool)) % 1.20/1.42 (define @t588 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t375) @t587))) % 1.20/1.42 (define @t589 () (@var "G_1" tptp.fun_a_bool)) % 1.20/1.42 (define @t590 () (@var "F" tptp.fun_a_bool)) % 1.20/1.42 (define @t591 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t590) @t589))) % 1.20/1.42 (define @t592 () (@list @t60)) % 1.20/1.42 (define @t593 () (@list @t56)) % 1.20/1.42 (define @t594 () (@list @t64)) % 1.20/1.42 (define @t595 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool tptp.bot_bo844097828e_bool)) % 1.20/1.42 (define @t596 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool tptp.bot_bot_fun_nat_bool)) % 1.20/1.42 (define @t597 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.bot_bot_fun_a_bool)) % 1.20/1.42 (define @t598 () (= @t16 tptp.bot_bot_fun_nat_bool)) % 1.20/1.42 (define @t599 () (= @t13 tptp.bot_bo844097828e_bool)) % 1.20/1.42 (define @t600 () (= @t10 tptp.bot_bot_fun_a_bool)) % 1.20/1.42 (define @t601 () (forall @t403 (not (tptp.hBOOL (tptp.hAPP_pname_bool @t212 @t397))))) % 1.20/1.42 (define @t602 () (forall @t410 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t197 @t405))))) % 1.20/1.42 (define @t603 () (forall @t417 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t202 @t412))))) % 1.20/1.42 (define @t604 () (forall @t424 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t207 @t419))))) % 1.20/1.42 (define @t605 () (forall @t395 (not (tptp.hBOOL (tptp.hAPP_a_bool @t192 @t389))))) % 1.20/1.42 (define @t606 () (forall @t387 (not (tptp.hBOOL (tptp.hAPP_nat_bool @t217 @t381))))) % 1.20/1.42 (define @t607 () (not @t599)) % 1.20/1.42 (define @t608 () (tptp.hBOOL tptp.bot_bot_bool)) % 1.20/1.42 (define @t609 () (= @t50 tptp.bot_bo844097828e_bool)) % 1.20/1.42 (define @t610 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t50)) % 1.20/1.42 (define @t611 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t610 tptp.bot_bo844097828e_bool))) % 1.20/1.42 (define @t612 () (@list @t50)) % 1.20/1.42 (define @t613 () (@var "A_3" tptp.bool)) % 1.20/1.42 (define @t614 () (tptp.hBOOL @t613)) % 1.20/1.42 (define @t615 () (= @t614 @t608)) % 1.20/1.42 (define @t616 () (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool @t613)) % 1.20/1.42 (define @t617 () (tptp.hBOOL (tptp.hAPP_bool_bool @t616 tptp.bot_bot_bool))) % 1.20/1.42 (define @t618 () (@list @t613)) % 1.20/1.42 (define @t619 () (= @t47 tptp.bot_bot_fun_nat_bool)) % 1.20/1.42 (define @t620 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t47)) % 1.20/1.42 (define @t621 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t620 tptp.bot_bot_fun_nat_bool))) % 1.20/1.42 (define @t622 () (@list @t47)) % 1.20/1.42 (define @t623 () (= @t53 tptp.bot_bot_fun_a_bool)) % 1.20/1.42 (define @t624 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t53)) % 1.20/1.42 (define @t625 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t624 tptp.bot_bot_fun_a_bool))) % 1.20/1.42 (define @t626 () (@list @t53)) % 1.20/1.42 (define @t627 () (@var "A_9" tptp.nat)) % 1.20/1.42 (define @t628 () (@var "A_8" tptp.nat)) % 1.20/1.42 (define @t629 () (tptp.insert_pname @t438 tptp.bot_bo844097828e_bool)) % 1.20/1.42 (define @t630 () (tptp.insert_pname @t56 tptp.bot_bo844097828e_bool)) % 1.20/1.42 (define @t631 () (tptp.insert_nat @t430 tptp.bot_bot_fun_nat_bool)) % 1.20/1.42 (define @t632 () (tptp.insert_nat @t60 tptp.bot_bot_fun_nat_bool)) % 1.20/1.42 (define @t633 () (tptp.insert_a @t443 tptp.bot_bot_fun_a_bool)) % 1.20/1.42 (define @t634 () (tptp.insert_a @t64 tptp.bot_bot_fun_a_bool)) % 1.20/1.42 (define @t635 () (= @t430 @t60)) % 1.20/1.42 (define @t636 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t431 @t632))) % 1.20/1.42 (define @t637 () (@list @t430 @t60)) % 1.20/1.42 (define @t638 () (= @t438 @t56)) % 1.20/1.42 (define @t639 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t439 @t630))) % 1.20/1.42 (define @t640 () (@list @t438 @t56)) % 1.20/1.42 (define @t641 () (= @t443 @t64)) % 1.20/1.42 (define @t642 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t444 @t634))) % 1.20/1.42 (define @t643 () (@list @t443 @t64)) % 1.20/1.42 (define @t644 () (@var "D" tptp.pname)) % 1.20/1.42 (define @t645 () (@var "D" tptp.nat)) % 1.20/1.42 (define @t646 () (@var "D" tptp.x_a)) % 1.20/1.42 (define @t647 () (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj @t507) @t217))) % 1.20/1.42 (define @t648 () (tptp.hBOOL (tptp.hAPP_nat_bool @t217 @t60))) % 1.20/1.42 (define @t649 () (not @t648)) % 1.20/1.42 (define @t650 () (@list @t217 @t60)) % 1.20/1.42 (define @t651 () (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj @t509) @t212))) % 1.20/1.42 (define @t652 () (tptp.hBOOL (tptp.hAPP_pname_bool @t212 @t56))) % 1.20/1.42 (define @t653 () (not @t652)) % 1.20/1.42 (define @t654 () (@list @t212 @t56)) % 1.20/1.42 (define @t655 () (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj @t511) @t192))) % 1.20/1.42 (define @t656 () (tptp.hBOOL (tptp.hAPP_a_bool @t192 @t64))) % 1.20/1.42 (define @t657 () (not @t656)) % 1.20/1.42 (define @t658 () (@list @t192 @t64)) % 1.20/1.42 (define @t659 () (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj @t501) @t197))) % 1.20/1.42 (define @t660 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t197 @t47))) % 1.20/1.42 (define @t661 () (not @t660)) % 1.20/1.42 (define @t662 () (tptp.insert_fun_nat_bool @t47 tptp.bot_bo1701429464l_bool)) % 1.20/1.42 (define @t663 () (@list @t197 @t47)) % 1.20/1.42 (define @t664 () (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj @t503) @t202))) % 1.20/1.42 (define @t665 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t202 @t50))) % 1.20/1.42 (define @t666 () (not @t665)) % 1.20/1.42 (define @t667 () (tptp.insert1325755072e_bool @t50 tptp.bot_bo1649642514l_bool)) % 1.20/1.42 (define @t668 () (@list @t202 @t50)) % 1.20/1.42 (define @t669 () (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj @t505) @t207))) % 1.20/1.42 (define @t670 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t207 @t53))) % 1.20/1.42 (define @t671 () (not @t670)) % 1.20/1.42 (define @t672 () (tptp.insert_fun_a_bool @t53 tptp.bot_bo1389914601l_bool)) % 1.20/1.42 (define @t673 () (@list @t207 @t53)) % 1.20/1.42 (define @t674 () (tptp.hAPP_n1699378549t_bool tptp.fequal_nat @t60)) % 1.20/1.42 (define @t675 () (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj @t674) @t217))) % 1.20/1.42 (define @t676 () (tptp.hAPP_p61793385e_bool tptp.fequal_pname @t56)) % 1.20/1.42 (define @t677 () (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj @t676) @t212))) % 1.20/1.42 (define @t678 () (tptp.hAPP_a_fun_a_bool tptp.fequal_a @t64)) % 1.20/1.42 (define @t679 () (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj @t678) @t192))) % 1.20/1.42 (define @t680 () (tptp.hAPP_f103356543l_bool tptp.fequal_fun_nat_bool @t47)) % 1.20/1.42 (define @t681 () (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj @t680) @t197))) % 1.20/1.42 (define @t682 () (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool @t50)) % 1.20/1.42 (define @t683 () (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj @t682) @t202))) % 1.20/1.42 (define @t684 () (tptp.hAPP_f1631501043l_bool tptp.fequal_fun_a_bool @t53)) % 1.20/1.42 (define @t685 () (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj @t684) @t207))) % 1.20/1.42 (define @t686 () (tptp.insert_nat @t165 tptp.bot_bot_fun_nat_bool)) % 1.20/1.42 (define @t687 () (tptp.insert_pname @t161 tptp.bot_bo844097828e_bool)) % 1.20/1.42 (define @t688 () (tptp.insert_a @t169 tptp.bot_bot_fun_a_bool)) % 1.20/1.42 (define @t689 () (tptp.image_pname_a (tptp.cOMBK_a_pname @t461) @t13)) % 1.20/1.42 (define @t690 () (= @t689 (tptp.insert_a @t461 tptp.bot_bot_fun_a_bool))) % 1.20/1.42 (define @t691 () (@var "X_9" tptp.nat)) % 1.20/1.42 (define @t692 () (@var "Y_8" tptp.nat)) % 1.20/1.42 (define @t693 () (@var "Z_1" tptp.bool)) % 1.20/1.42 (define @t694 () (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool @t693)) % 1.20/1.42 (define @t695 () (@var "Y_2" tptp.bool)) % 1.20/1.42 (define @t696 () (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool @t695)) % 1.20/1.42 (define @t697 () (tptp.hBOOL (tptp.hAPP_bool_bool @t696 @t573))) % 1.20/1.42 (define @t698 () (@var "Z_1" tptp.fun_nat_bool)) % 1.20/1.42 (define @t699 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t698)) % 1.20/1.42 (define @t700 () (@var "Y_2" tptp.fun_nat_bool)) % 1.20/1.42 (define @t701 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t700)) % 1.20/1.42 (define @t702 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t701 @t152))) % 1.20/1.42 (define @t703 () (@var "Z_1" tptp.fun_pname_bool)) % 1.20/1.42 (define @t704 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t703)) % 1.20/1.42 (define @t705 () (@var "Y_2" tptp.fun_pname_bool)) % 1.20/1.42 (define @t706 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t705)) % 1.20/1.42 (define @t707 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t706 @t155))) % 1.20/1.42 (define @t708 () (@var "X_8" tptp.nat)) % 1.20/1.42 (define @t709 () (@var "Z_3" tptp.nat)) % 1.20/1.42 (define @t710 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t709)) % 1.20/1.42 (define @t711 () (@var "Y_7" tptp.nat)) % 1.20/1.42 (define @t712 () (@var "Z_1" tptp.fun_a_bool)) % 1.20/1.42 (define @t713 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t712)) % 1.20/1.42 (define @t714 () (@var "Y_2" tptp.fun_a_bool)) % 1.20/1.42 (define @t715 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t714)) % 1.20/1.42 (define @t716 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t715 @t158))) % 1.20/1.42 (define @t717 () (= (tptp.hBOOL @t573) (tptp.hBOOL @t695))) % 1.20/1.42 (define @t718 () (tptp.hBOOL (tptp.hAPP_bool_bool @t574 @t695))) % 1.20/1.42 (define @t719 () (@list @t695 @t573)) % 1.20/1.42 (define @t720 () (= @t152 @t700)) % 1.20/1.42 (define @t721 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t576 @t700))) % 1.20/1.42 (define @t722 () (@list @t700 @t152)) % 1.20/1.42 (define @t723 () (= @t155 @t705)) % 1.20/1.42 (define @t724 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t575 @t705))) % 1.20/1.42 (define @t725 () (@list @t705 @t155)) % 1.20/1.42 (define @t726 () (@var "Y_6" tptp.nat)) % 1.20/1.42 (define @t727 () (@var "X_7" tptp.nat)) % 1.20/1.42 (define @t728 () (= @t158 @t714)) % 1.20/1.42 (define @t729 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t577 @t714))) % 1.20/1.42 (define @t730 () (@list @t714 @t158)) % 1.20/1.42 (define @t731 () (@var "Z_2" tptp.nat)) % 1.20/1.42 (define @t732 () (@var "X_6" tptp.nat)) % 1.20/1.42 (define @t733 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t732)) % 1.20/1.42 (define @t734 () (@var "Y_5" tptp.nat)) % 1.20/1.42 (define @t735 () (@list @t152 @t700)) % 1.20/1.42 (define @t736 () (@list @t155 @t705)) % 1.20/1.42 (define @t737 () (@var "Y_4" tptp.nat)) % 1.20/1.42 (define @t738 () (@var "X_5" tptp.nat)) % 1.20/1.42 (define @t739 () (@list @t158 @t714)) % 1.20/1.42 (define @t740 () (@var "C_1" tptp.bool)) % 1.20/1.42 (define @t741 () (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool @t740)) % 1.20/1.42 (define @t742 () (tptp.hBOOL (tptp.hAPP_bool_bool @t741 @t613))) % 1.20/1.42 (define @t743 () (@var "B_1" tptp.bool)) % 1.20/1.42 (define @t744 () (tptp.hBOOL @t743)) % 1.20/1.42 (define @t745 () (= @t744 (tptp.hBOOL @t740))) % 1.20/1.42 (define @t746 () (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool @t743)) % 1.20/1.42 (define @t747 () (@list @t740 @t743 @t613)) % 1.20/1.42 (define @t748 () (@var "C_1" tptp.fun_nat_bool)) % 1.20/1.42 (define @t749 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t748)) % 1.20/1.42 (define @t750 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t749 @t47))) % 1.20/1.42 (define @t751 () (@var "B_1" tptp.fun_nat_bool)) % 1.20/1.42 (define @t752 () (= @t751 @t748)) % 1.20/1.42 (define @t753 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t751)) % 1.20/1.42 (define @t754 () (@var "C_1" tptp.fun_pname_bool)) % 1.20/1.42 (define @t755 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t754)) % 1.20/1.42 (define @t756 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t755 @t50))) % 1.20/1.42 (define @t757 () (@var "B_1" tptp.fun_pname_bool)) % 1.20/1.42 (define @t758 () (= @t757 @t754)) % 1.20/1.42 (define @t759 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t757)) % 1.20/1.42 (define @t760 () (@var "A_7" tptp.nat)) % 1.20/1.42 (define @t761 () (@var "C_5" tptp.nat)) % 1.20/1.42 (define @t762 () (@var "B_5" tptp.nat)) % 1.20/1.42 (define @t763 () (@var "C_1" tptp.fun_a_bool)) % 1.20/1.42 (define @t764 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t763)) % 1.20/1.42 (define @t765 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t764 @t53))) % 1.20/1.42 (define @t766 () (@var "B_1" tptp.fun_a_bool)) % 1.20/1.42 (define @t767 () (= @t766 @t763)) % 1.20/1.42 (define @t768 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t766)) % 1.20/1.42 (define @t769 () (tptp.hBOOL (tptp.hAPP_bool_bool @t616 @t740))) % 1.20/1.42 (define @t770 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t620 @t748))) % 1.20/1.42 (define @t771 () (@list @t748 @t47 @t751)) % 1.20/1.42 (define @t772 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t610 @t754))) % 1.20/1.42 (define @t773 () (@list @t754 @t50 @t757)) % 1.20/1.42 (define @t774 () (@var "C_4" tptp.nat)) % 1.20/1.42 (define @t775 () (@var "A_6" tptp.nat)) % 1.20/1.42 (define @t776 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t775)) % 1.20/1.42 (define @t777 () (@var "B_4" tptp.nat)) % 1.20/1.42 (define @t778 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t624 @t763))) % 1.20/1.42 (define @t779 () (@list @t763 @t53 @t766)) % 1.20/1.42 (define @t780 () (= @t614 @t744)) % 1.20/1.42 (define @t781 () (= @t47 @t751)) % 1.20/1.42 (define @t782 () (= @t50 @t757)) % 1.20/1.42 (define @t783 () (@var "A_5" tptp.nat)) % 1.20/1.42 (define @t784 () (@var "C_3" tptp.nat)) % 1.20/1.42 (define @t785 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t784)) % 1.20/1.42 (define @t786 () (@var "B_3" tptp.nat)) % 1.20/1.42 (define @t787 () (= @t53 @t766)) % 1.20/1.42 (define @t788 () (@var "C_2" tptp.nat)) % 1.20/1.42 (define @t789 () (@var "A_4" tptp.nat)) % 1.20/1.42 (define @t790 () (@var "B_2" tptp.nat)) % 1.20/1.42 (define @t791 () (= @t165 @t514)) % 1.20/1.42 (define @t792 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t165) @t514))) % 1.20/1.42 (define @t793 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t514) @t165))) % 1.20/1.42 (define @t794 () (@var "Y_3" tptp.nat)) % 1.20/1.42 (define @t795 () (@var "X_4" tptp.nat)) % 1.20/1.42 (define @t796 () (@var "X_2" tptp.nat)) % 1.20/1.42 (define @t797 () (@var "Y_1" tptp.nat)) % 1.20/1.42 (define @t798 () (@var "F_2" tptp.fun_nat_bool)) % 1.20/1.42 (define @t799 () (@var "A_2" tptp.nat)) % 1.20/1.42 (define @t800 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t799)) % 1.20/1.42 (define @t801 () (@var "F_2" tptp.fun_pname_bool)) % 1.20/1.42 (define @t802 () (@var "A_2" tptp.pname)) % 1.20/1.42 (define @t803 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t802)) % 1.20/1.42 (define @t804 () (@var "F_2" tptp.fun_a_bool)) % 1.20/1.42 (define @t805 () (@var "A_2" tptp.x_a)) % 1.20/1.42 (define @t806 () (tptp.hAPP_a85458249l_bool tptp.member_a @t805)) % 1.20/1.42 (define @t807 () (@var "Pa" tptp.fun_fu814369080l_bool)) % 1.20/1.42 (define @t808 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t807 @t33))) % 1.20/1.42 (define @t809 () (@var "F_2" tptp.fun_fu425979586l_bool)) % 1.20/1.42 (define @t810 () (@var "A_2" tptp.fun_nat_bool)) % 1.20/1.42 (define @t811 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t807 @t809))) % 1.20/1.42 (define @t812 () (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool @t810)) % 1.20/1.42 (define @t813 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t809))) % 1.20/1.42 (define @t814 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t807 tptp.bot_bo1701429464l_bool))) % 1.20/1.42 (define @t815 () (@var "Pa" tptp.fun_fu399576434l_bool)) % 1.20/1.42 (define @t816 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t815 @t36))) % 1.20/1.42 (define @t817 () (@var "F_2" tptp.fun_fu1430349052l_bool)) % 1.20/1.42 (define @t818 () (@var "A_2" tptp.fun_pname_bool)) % 1.20/1.42 (define @t819 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t815 @t817))) % 1.20/1.42 (define @t820 () (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool @t818)) % 1.20/1.42 (define @t821 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t817))) % 1.20/1.42 (define @t822 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t815 tptp.bot_bo1649642514l_bool))) % 1.20/1.42 (define @t823 () (@var "Pa" tptp.fun_fu885608257l_bool)) % 1.20/1.42 (define @t824 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t823 @t39))) % 1.20/1.42 (define @t825 () (@var "F_2" tptp.fun_fun_a_bool_bool)) % 1.20/1.42 (define @t826 () (@var "A_2" tptp.fun_a_bool)) % 1.20/1.42 (define @t827 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t823 @t825))) % 1.20/1.42 (define @t828 () (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool @t826)) % 1.20/1.42 (define @t829 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t825))) % 1.20/1.42 (define @t830 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t823 tptp.bot_bo1389914601l_bool))) % 1.20/1.42 (define @t831 () (@var "Pn" tptp.pname)) % 1.20/1.42 (define @t832 () (tptp.hAPP_pname_a tptp.mgt_call @t831)) % 1.20/1.42 (define @t833 () (tptp.the_com (tptp.body @t831))) % 1.20/1.42 (define @t834 () (@var "U" tptp.nat)) % 1.20/1.42 (define @t835 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t263) @t235))) % 1.20/1.42 (define @t836 () (tptp.plus_plus_nat @t223)) % 1.20/1.42 (define @t837 () (tptp.hAPP_nat_nat @t836 @t222)) % 1.20/1.42 (define @t838 () (tptp.hAPP_nat_nat tptp.suc @t837)) % 1.20/1.42 (define @t839 () (tptp.hAPP_nat_nat @t836 @t244)) % 1.20/1.42 (define @t840 () (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t226) @t222)) % 1.20/1.42 (define @t841 () (tptp.plus_plus_nat @t261)) % 1.20/1.42 (define @t842 () (tptp.hAPP_nat_nat @t841 @t232)) % 1.20/1.42 (define @t843 () (tptp.plus_plus_nat @t232)) % 1.20/1.42 (define @t844 () (tptp.hAPP_nat_nat @t843 @t235)) % 1.20/1.42 (define @t845 () (tptp.hAPP_nat_nat @t843 @t261)) % 1.20/1.42 (define @t846 () (@list @t232 @t261 @t235)) % 1.20/1.42 (define @t847 () (tptp.plus_plus_nat @t222)) % 1.20/1.42 (define @t848 () (tptp.hAPP_nat_nat @t847 @t250)) % 1.20/1.42 (define @t849 () (@var "Z" tptp.nat)) % 1.20/1.42 (define @t850 () (tptp.plus_plus_nat @t239)) % 1.20/1.42 (define @t851 () (tptp.plus_plus_nat @t238)) % 1.20/1.42 (define @t852 () (tptp.hAPP_nat_nat @t851 @t849)) % 1.20/1.42 (define @t853 () (tptp.hAPP_nat_nat @t847 @t223)) % 1.20/1.42 (define @t854 () (tptp.minus_minus_nat @t853)) % 1.20/1.42 (define @t855 () (tptp.plus_plus_nat @t253)) % 1.20/1.42 (define @t856 () (tptp.hAPP_nat_nat @t855 @t250)) % 1.20/1.42 (define @t857 () (tptp.plus_plus_nat @t250)) % 1.20/1.42 (define @t858 () (tptp.hAPP_nat_nat @t857 @t222)) % 1.20/1.42 (define @t859 () (tptp.hAPP_nat_nat @t857 @t223)) % 1.20/1.42 (define @t860 () (tptp.hAPP_nat_nat @t836 @t250)) % 1.20/1.42 (define @t861 () (tptp.minus_minus_nat @t860)) % 1.20/1.42 (define @t862 () (@list @t223 @t250 @t222)) % 1.20/1.42 (define @t863 () (@var "K_1" tptp.nat)) % 1.20/1.42 (define @t864 () (tptp.hAPP_nat_nat @t841 @t863)) % 1.20/1.42 (define @t865 () (@list @t863)) % 1.20/1.42 (define @t866 () (tptp.hAPP_nat_nat @t855 @t223)) % 1.20/1.42 (define @t867 () (@list @t223 @t251 @t253)) % 1.20/1.42 (define @t868 () (tptp.hAPP_nat_nat @t836 @t253)) % 1.20/1.42 (define @t869 () (tptp.plus_plus_nat @t251)) % 1.20/1.42 (define @t870 () (tptp.hAPP_nat_nat @t869 @t250)) % 1.20/1.42 (define @t871 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t870)) % 1.20/1.42 (define @t872 () (tptp.hAPP_nat_nat @t855 @t283)) % 1.20/1.42 (define @t873 () (@list @t250 @t283 @t251 @t253)) % 1.20/1.42 (define @t874 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t860) @t222))) % 1.20/1.42 (define @t875 () (tptp.minus_minus_nat @t253)) % 1.20/1.42 (define @t876 () (tptp.hAPP_nat_nat @t875 @t250)) % 1.20/1.42 (define @t877 () (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t876) @t251)) % 1.20/1.42 (define @t878 () (tptp.hAPP_nat_nat @t855 @t251)) % 1.20/1.42 (define @t879 () (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t878) @t250)) % 1.20/1.42 (define @t880 () (tptp.hBOOL (tptp.hAPP_nat_bool @t280 @t253))) % 1.20/1.42 (define @t881 () (@list @t251 @t250 @t253)) % 1.20/1.42 (define @t882 () (tptp.hAPP_nat_nat @t869 @t876)) % 1.20/1.42 (define @t883 () (tptp.hAPP_nat_nat @t869 @t253)) % 1.20/1.42 (define @t884 () (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t883) @t250)) % 1.20/1.42 (define @t885 () (@var "J_1" tptp.nat)) % 1.20/1.42 (define @t886 () (tptp.minus_minus_nat @t885)) % 1.20/1.42 (define @t887 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t490)) % 1.20/1.42 (define @t888 () (tptp.hBOOL (tptp.hAPP_nat_bool @t887 @t885))) % 1.20/1.42 (define @t889 () (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t490) @t232)) % 1.20/1.42 (define @t890 () (tptp.hAPP_nat_nat @t886 @t232)) % 1.20/1.42 (define @t891 () (= (tptp.hAPP_nat_nat @t847 @t225) @t223)) % 1.20/1.42 (define @t892 () (tptp.hAPP_nat_nat tptp.suc @t253)) % 1.20/1.42 (define @t893 () (tptp.hAPP_nat_nat tptp.suc @t876)) % 1.20/1.42 (define @t894 () (@list @t223 @t250 @t253)) % 1.20/1.42 (define @t895 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t239)) % 1.20/1.42 (define @t896 () (tptp.hBOOL (tptp.hAPP_nat_bool @t895 @t852))) % 1.20/1.42 (define @t897 () (tptp.hBOOL (tptp.hAPP_nat_bool @t895 @t238))) % 1.20/1.42 (define @t898 () (@list @t849 @t239 @t238)) % 1.20/1.42 (define @t899 () (@list @t238 @t239 @t849)) % 1.20/1.42 (define @t900 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t222)) % 1.20/1.42 (define @t901 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t226)) % 1.20/1.42 (define @t902 () (tptp.hBOOL (tptp.hAPP_nat_bool @t901 @t244))) % 1.20/1.42 (define @t903 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t223)) % 1.20/1.42 (define @t904 () (tptp.hBOOL (tptp.hAPP_nat_bool @t903 @t222))) % 1.20/1.42 (define @t905 () (tptp.cOMBC_nat_nat_bool tptp.ord_less_nat)) % 1.20/1.42 (define @t906 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t239)) % 1.20/1.42 (define @t907 () (tptp.hBOOL (tptp.hAPP_nat_bool @t906 @t852))) % 1.20/1.42 (define @t908 () (tptp.hBOOL (tptp.hAPP_nat_bool @t906 @t238))) % 1.20/1.42 (define @t909 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t251)) % 1.20/1.42 (define @t910 () (tptp.hBOOL (tptp.hAPP_nat_bool @t909 @t250))) % 1.20/1.42 (define @t911 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t883)) % 1.20/1.42 (define @t912 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t250) @t283))) % 1.20/1.42 (define @t913 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t870)) % 1.20/1.42 (define @t914 () (tptp.hBOOL (tptp.hAPP_nat_bool @t909 @t253))) % 1.20/1.42 (define @t915 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t261)) % 1.20/1.42 (define @t916 () (tptp.hBOOL (tptp.hAPP_nat_bool @t915 @t235))) % 1.20/1.42 (define @t917 () (tptp.hBOOL (tptp.hAPP_nat_bool @t901 @t222))) % 1.20/1.42 (define @t918 () (not @t904)) % 1.20/1.42 (define @t919 () (tptp.hBOOL (tptp.hAPP_nat_bool @t903 @t244))) % 1.20/1.42 (define @t920 () (tptp.hAPP_nat_nat tptp.suc @t251)) % 1.20/1.42 (define @t921 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t920) @t250))) % 1.20/1.42 (define @t922 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t253) @t250))) % 1.20/1.42 (define @t923 () (tptp.hBOOL (tptp.hAPP_nat_bool @t900 @t223))) % 1.20/1.42 (define @t924 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t235)) % 1.20/1.42 (define @t925 () (tptp.hBOOL (tptp.hAPP_nat_bool @t924 @t263))) % 1.20/1.42 (define @t926 () (= @t925 (= @t235 @t261))) % 1.20/1.42 (define @t927 () (tptp.hBOOL (tptp.hAPP_nat_bool @t924 @t261))) % 1.20/1.42 (define @t928 () (or @t916 @t282)) % 1.20/1.42 (define @t929 () (tptp.hBOOL (tptp.hAPP_nat_bool @t915 @t236))) % 1.20/1.42 (define @t930 () (not @t246)) % 1.20/1.42 (define @t931 () (not @t282)) % 1.20/1.42 (define @t932 () (not @t240)) % 1.20/1.42 (define @t933 () (@var "T" tptp.nat)) % 1.20/1.42 (define @t934 () (@var "S" tptp.nat)) % 1.20/1.42 (define @t935 () (@var "Pa" tptp.fun_nat_fun_nat_bool)) % 1.20/1.42 (define @t936 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool @t935 @t235) @t261))) % 1.20/1.42 (define @t937 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t381)) % 1.20/1.42 (define @t938 () (@list @t251 @t223)) % 1.20/1.42 (define @t939 () (@var "C" tptp.nat)) % 1.20/1.42 (define @t940 () (@var "B" tptp.nat)) % 1.20/1.42 (define @t941 () (@var "A" tptp.nat)) % 1.20/1.42 (define @t942 () (@var "I_2" tptp.nat)) % 1.20/1.42 (define @t943 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t942)) % 1.20/1.42 (define @t944 () (@var "J" tptp.nat)) % 1.20/1.42 (define @t945 () (not (forall (@list @t944) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t909 @t944)) (not (= @t250 (tptp.hAPP_nat_nat tptp.suc @t944))))))) % 1.20/1.42 (define @t946 () (@list @t251 @t250)) % 1.20/1.42 (define @t947 () (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) % 1.20/1.42 (define @t948 () (= @t235 tptp.zero_zero_nat)) % 1.20/1.42 (define @t949 () (or (and (= @t261 @t947) @t948) (and (= @t261 tptp.zero_zero_nat) (= @t235 @t947)))) % 1.20/1.42 (define @t950 () (tptp.hAPP_nat_nat @t841 @t235)) % 1.20/1.42 (define @t951 () (= @t225 tptp.zero_zero_nat)) % 1.20/1.42 (define @t952 () (@list @t223)) % 1.20/1.42 (define @t953 () (@var "Nat_1" tptp.nat)) % 1.20/1.42 (define @t954 () (@var "Nat" tptp.nat)) % 1.20/1.42 (define @t955 () (@var "P" tptp.bool)) % 1.20/1.42 (define @t956 () (tptp.hBOOL @t955)) % 1.20/1.42 (define @t957 () (not @t956)) % 1.20/1.42 (define @t958 () (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot @t955))) % 1.20/1.42 (define @t959 () (@list @t955)) % 1.20/1.42 (define @t960 () (@var "Q" tptp.bool)) % 1.20/1.42 (define @t961 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj @t955) @t960))) % 1.20/1.42 (define @t962 () (tptp.hBOOL @t960)) % 1.20/1.42 (define @t963 () (not @t962)) % 1.20/1.42 (define @t964 () (@list @t960 @t955)) % 1.20/1.42 (define @t965 () (not @t961)) % 1.20/1.42 (define @t966 () (@list @t955 @t960)) % 1.20/1.42 (define @t967 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj @t955) @t960))) % 1.20/1.42 (define @t968 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies @t955) @t960))) % 1.20/1.42 (define @t969 () (@var "Y" tptp.x_a)) % 1.20/1.42 (define @t970 () (@var "X" tptp.x_a)) % 1.20/1.42 (define @t971 () (= @t970 @t969)) % 1.20/1.42 (define @t972 () (tptp.hBOOL (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool tptp.fequal_a @t970) @t969))) % 1.20/1.42 (define @t973 () (@list @t970 @t969)) % 1.20/1.42 (define @t974 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat @t239) @t238))) % 1.20/1.42 (define @t975 () (@var "Y" tptp.pname)) % 1.20/1.42 (define @t976 () (@var "X" tptp.pname)) % 1.20/1.42 (define @t977 () (= @t976 @t975)) % 1.20/1.42 (define @t978 () (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool tptp.fequal_pname @t976) @t975))) % 1.20/1.42 (define @t979 () (@list @t976 @t975)) % 1.20/1.42 (define @t980 () (@var "Q" tptp.x_a)) % 1.20/1.42 (define @t981 () (@var "P" tptp.x_a)) % 1.20/1.42 (define @t982 () (@var "Q" tptp.pname)) % 1.20/1.42 (define @t983 () (@var "R" tptp.x_a)) % 1.20/1.42 (define @t984 () (@var "P" tptp.fun_a_fun_a_bool)) % 1.20/1.42 (define @t985 () (@var "Q" tptp.nat)) % 1.20/1.42 (define @t986 () (@var "Y" tptp.fun_a_bool)) % 1.20/1.42 (define @t987 () (@var "X" tptp.fun_a_bool)) % 1.20/1.42 (define @t988 () (= @t987 @t986)) % 1.20/1.42 (define @t989 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.fequal_fun_a_bool @t987) @t986))) % 1.20/1.42 (define @t990 () (@list @t987 @t986)) % 1.20/1.42 (define @t991 () (@var "P" tptp.fun_a_fun_nat_bool)) % 1.20/1.42 (define @t992 () (@var "R" tptp.nat)) % 1.20/1.42 (define @t993 () (@var "P" tptp.fun_nat_fun_a_bool)) % 1.20/1.42 (define @t994 () (@var "Q" tptp.fun_a_bool)) % 1.20/1.42 (define @t995 () (tptp.hAPP_a_bool @t994 @t983)) % 1.20/1.42 (define @t996 () (@var "P" tptp.fun_bool_bool)) % 1.20/1.42 (define @t997 () (@var "P" tptp.fun_a_fun_bool_bool)) % 1.20/1.42 (define @t998 () (@var "P" tptp.fun_a_fun_pname_bool)) % 1.20/1.42 (define @t999 () (@var "R" tptp.pname)) % 1.20/1.42 (define @t1000 () (@var "P" tptp.fun_pname_fun_a_bool)) % 1.20/1.42 (define @t1001 () (@var "Y" tptp.fun_nat_bool)) % 1.20/1.42 (define @t1002 () (@var "X" tptp.fun_nat_bool)) % 1.20/1.42 (define @t1003 () (= @t1002 @t1001)) % 1.20/1.42 (define @t1004 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.fequal_fun_nat_bool @t1002) @t1001))) % 1.20/1.42 (define @t1005 () (@list @t1002 @t1001)) % 1.20/1.42 (define @t1006 () (@var "Y" tptp.fun_pname_bool)) % 1.20/1.42 (define @t1007 () (@var "X" tptp.fun_pname_bool)) % 1.20/1.42 (define @t1008 () (= @t1007 @t1006)) % 1.20/1.42 (define @t1009 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool @t1007) @t1006))) % 1.20/1.42 (define @t1010 () (@list @t1007 @t1006)) % 1.20/1.42 (define @t1011 () (@var "Q" tptp.fun_a_a)) % 1.20/1.42 (define @t1012 () (@var "P" tptp.fun_nat_fun_nat_bool)) % 1.20/1.42 (define @t1013 () (@var "Q" tptp.fun_nat_bool)) % 1.20/1.42 (define @t1014 () (tptp.hAPP_nat_bool @t1013 @t992)) % 1.20/1.42 (define @t1015 () (@var "P" tptp.fun_na1469252690l_bool)) % 1.20/1.42 (define @t1016 () (@var "P" tptp.fun_pn406123357t_bool)) % 1.20/1.42 (define @t1017 () (@var "P" tptp.fun_na936072029e_bool)) % 1.20/1.42 (define @t1018 () (@var "Q" tptp.fun_pname_bool)) % 1.20/1.42 (define @t1019 () (tptp.hAPP_pname_bool @t1018 @t999)) % 1.20/1.42 (define @t1020 () (@var "P" tptp.fun_pn250273176l_bool)) % 1.20/1.42 (define @t1021 () (@var "P" tptp.fun_pn800050071e_bool)) % 1.20/1.42 (define @t1022 () (@var "Q" tptp.fun_nat_a)) % 1.20/1.42 (define @t1023 () (@var "P" tptp.fun_a_1255737515l_bool)) % 1.20/1.42 (define @t1024 () (@var "Q" tptp.fun_pname_a)) % 1.20/1.42 (define @t1025 () (@var "Q" tptp.fun_a_nat)) % 1.20/1.42 (define @t1026 () (@var "P" tptp.fun_a_762926252l_bool)) % 1.20/1.42 (define @t1027 () (@var "P" tptp.fun_na1632405922l_bool)) % 1.20/1.42 (define @t1028 () (@var "R" tptp.fun_a_bool)) % 1.20/1.42 (define @t1029 () (@var "P" tptp.fun_fu600484770t_bool)) % 1.20/1.42 (define @t1030 () (@var "Q" tptp.fun_fun_a_bool_bool)) % 1.20/1.42 (define @t1031 () (tptp.hAPP_fun_a_bool_bool @t1030 @t1028)) % 1.20/1.42 (define @t1032 () (@var "P" tptp.fun_bo1549164019l_bool)) % 1.20/1.42 (define @t1033 () (@var "P" tptp.fun_fu554186387l_bool)) % 1.20/1.42 (define @t1034 () (@var "P" tptp.fun_a_968466022l_bool)) % 1.20/1.42 (define @t1035 () (@var "P" tptp.fun_pn1038293468l_bool)) % 1.20/1.42 (define @t1036 () (@var "P" tptp.fun_fu2112074076e_bool)) % 1.20/1.42 (define @t1037 () (@var "Q" tptp.fun_a_pname)) % 1.20/1.42 (define @t1038 () (@var "Q" tptp.fun_nat_nat)) % 1.20/1.42 (define @t1039 () (@var "P" tptp.fun_na1436237685l_bool)) % 1.20/1.42 (define @t1040 () (@var "R" tptp.fun_nat_bool)) % 1.20/1.42 (define @t1041 () (@var "P" tptp.fun_fu821463397t_bool)) % 1.20/1.42 (define @t1042 () (@var "Q" tptp.fun_fu425979586l_bool)) % 1.20/1.42 (define @t1043 () (tptp.hAPP_f54304608l_bool @t1042 @t1040)) % 1.20/1.42 (define @t1044 () (@var "Q" tptp.fun_pname_nat)) % 1.20/1.42 (define @t1045 () (@var "P" tptp.fun_fu1016514960l_bool)) % 1.20/1.42 (define @t1046 () (@var "P" tptp.fun_pn1165013435l_bool)) % 1.20/1.42 (define @t1047 () (@var "P" tptp.fun_na2122364079l_bool)) % 1.20/1.42 (define @t1048 () (@var "R" tptp.fun_pname_bool)) % 1.20/1.42 (define @t1049 () (@var "P" tptp.fun_fu900310687t_bool)) % 1.20/1.42 (define @t1050 () (@var "P" tptp.fun_fu1492573599e_bool)) % 1.20/1.42 (define @t1051 () (@var "Q" tptp.fun_nat_pname)) % 1.20/1.42 (define @t1052 () (@var "Q" tptp.fun_fu1430349052l_bool)) % 1.20/1.42 (define @t1053 () (tptp.hAPP_f1664156314l_bool @t1052 @t1048)) % 1.20/1.42 (define @t1054 () (@var "P" tptp.fun_fu31783638l_bool)) % 1.20/1.42 (define @t1055 () (@var "P" tptp.fun_pn422929397l_bool)) % 1.20/1.42 (define @t1056 () (@var "P" tptp.fun_fu410713561e_bool)) % 1.20/1.42 (define @t1057 () (@var "Q" tptp.fun_pname_pname)) % 1.20/1.42 (define @t1058 () (@var "P" tptp.fun_fu1471507361l_bool)) % 1.20/1.42 (define @t1059 () (@var "Q" tptp.fun_fun_a_bool_nat)) % 1.20/1.42 (define @t1060 () (@var "Q" tptp.fun_fun_a_bool_pname)) % 1.20/1.42 (define @t1061 () (@var "Q" tptp.fun_fun_nat_bool_nat)) % 1.20/1.42 (define @t1062 () (@var "Q" tptp.fun_a_fun_a_bool)) % 1.20/1.42 (define @t1063 () (@var "P" tptp.fun_fu1217155507l_bool)) % 1.20/1.42 (define @t1064 () (@var "Q" tptp.fun_fu1668467777ol_nat)) % 1.20/1.42 (define @t1065 () (@var "Q" tptp.fun_fu665170229_pname)) % 1.20/1.42 (define @t1066 () (@var "P" tptp.fun_fu802393907l_bool)) % 1.20/1.42 (define @t1067 () (@var "Q" tptp.fun_fu1499449723_pname)) % 1.20/1.42 (define @t1068 () (@var "Q" tptp.fun_nat_fun_a_bool)) % 1.20/1.42 (define @t1069 () (@var "P" tptp.fun_fu386216885l_bool)) % 1.20/1.42 (define @t1070 () (@var "Q" tptp.fun_pname_fun_a_bool)) % 1.20/1.42 (define @t1071 () (@var "Q" tptp.fun_a_fun_nat_bool)) % 1.20/1.42 (define @t1072 () (@var "Q" tptp.fun_a_fun_pname_bool)) % 1.20/1.42 (define @t1073 () (@var "Q" tptp.fun_nat_fun_nat_bool)) % 1.20/1.42 (define @t1074 () (@var "P" tptp.fun_fu1436348701l_bool)) % 1.20/1.42 (define @t1075 () (@var "Q" tptp.fun_pn406123357t_bool)) % 1.20/1.42 (define @t1076 () (@var "Q" tptp.fun_na936072029e_bool)) % 1.20/1.42 (define @t1077 () (@var "P" tptp.fun_fu931343505l_bool)) % 1.20/1.42 (define @t1078 () (@var "Q" tptp.fun_pn800050071e_bool)) % 1.20/1.42 (define @t1079 () (@var "R" tptp.fun_fun_a_bool_bool)) % 1.20/1.42 (define @t1080 () (@var "P" tptp.fun_fu418465139l_bool)) % 1.20/1.42 (define @t1081 () (@var "R" tptp.fun_fu425979586l_bool)) % 1.20/1.42 (define @t1082 () (@var "P" tptp.fun_fu140186515l_bool)) % 1.20/1.42 (define @t1083 () (@var "R" tptp.fun_fu1430349052l_bool)) % 1.20/1.42 (define @t1084 () (@var "P" tptp.fun_fu1911931399l_bool)) % 1.20/1.42 (define @t1085 () (tptp.image_pname_a tptp.mgt_call tptp.u)) % 1.20/1.42 (define @t1086 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) @t1085))) % 1.20/1.42 (define @t1087 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t1085)) % 1.20/1.42 (define @t1088 () (tptp.hAPP_nat_nat tptp.suc tptp.na)) % 1.20/1.42 (define @t1089 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) % 1.20/1.42 (define @t1090 () (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) % 1.20/1.42 (define @t1091 () (tptp.hAPP_a85458249l_bool tptp.member_a @t1090)) % 1.20/1.42 (define @t1092 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a @t1090 tptp.g)) @t1085))) % 1.20/1.42 (define @t1093 () (or @t185 @t546)) % 1.20/1.42 (define @t1094 () (not (= @t450 @t450))) % 1.20/1.42 (define @t1095 () (or @t1094 @t185 @t546)) % 1.20/1.42 (define @t1096 () (@list @t13 @t107 @t161)) % 1.20/1.42 (define @t1097 () (not @t451)) % 1.20/1.42 (define @t1098 () (or @t1097 @t1097 @t185 @t448)) % 1.20/1.42 (define @t1099 () (@list @t443)) % 1.20/1.42 (define @t1100 () (or @t1097 @t185 @t448)) % 1.20/1.42 (define @t1101 () (forall @t1099 @t1100)) % 1.20/1.42 (define @t1102 () (forall @t1096 @t1101)) % 1.20/1.42 (define @t1103 () (forall (@list @t13 @t107 @t161 @t443) @t1100)) % 1.20/1.42 (define @t1104 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t1091 @t1085))) % 1.20/1.42 (define @t1105 () (and @t1104 @t1086)) % 1.20/1.42 (define @t1106 () (= @t1092 @t1105)) % 1.20/1.42 (define @t1107 () (not @t1105)) % 1.20/1.42 (define @t1108 () (@list true false)) % 1.20/1.42 (define @t1109 () (not @t1104)) % 1.20/1.42 (define @t1110 () (@list false true)) % 1.20/1.42 (define @t1111 () (not @t1089)) % 1.20/1.42 (define @t1112 () (or @t1111 @t1104)) % 1.20/1.42 (define @t1113 () (not @t1112)) % 1.20/1.42 (define @t1114 () (forall @t1096 @t1093)) % 1.20/1.42 (assume @p1 (forall (@list @t1 @t2) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t1) @t2)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t3 @t1))))) % 1.20/1.42 (assume @p2 (forall (@list @t4) (=> @t5 (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool (tptp.collec1015864663l_bool (tptp.hAPP_f1772781669l_bool (tptp.cOMBC_595898202l_bool tptp.ord_le1454342156l_bool) @t4))))))) % 1.20/1.42 (assume @p3 (forall (@list @t6) (=> @t7 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.collec1613912337l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool tptp.ord_le675606854l_bool) @t6))))))) % 1.20/1.42 (assume @p4 (forall (@list @t8) (=> @t9 (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool (tptp.collec707592106l_bool (tptp.hAPP_f1434722111l_bool (tptp.cOMBC_331553030l_bool tptp.ord_le1375614389l_bool) @t8))))))) % 1.20/1.42 (assume @p5 (forall @t12 (=> @t11 (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) @t10))))))) % 1.20/1.42 (assume @p6 (forall @t15 (=> @t14 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.ord_le313189616e_bool) @t13))))))) % 1.20/1.42 (assume @p7 (forall @t18 (=> @t17 (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) @t16))))))) % 1.20/1.42 (assume @p8 (forall (@list @t20 @t19) (=> @t21 (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_2129980159t_bool @t20 @t19)))))) % 1.20/1.42 (assume @p9 (forall (@list @t22 @t19) (=> @t21 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_47868345e_bool @t22 @t19)))))) % 1.20/1.42 (assume @p10 (forall (@list @t23 @t19) (=> @t21 (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_112932426a_bool @t23 @t19)))))) % 1.20/1.42 (assume @p11 (forall (@list @t25 @t24) (=> @t26 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_nat_a @t25 @t24)))))) % 1.20/1.42 (assume @p12 (forall (@list @t27 @t24) (=> @t26 (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_26036933t_bool @t27 @t24)))))) % 1.20/1.42 (assume @p13 (forall (@list @t28 @t24) (=> @t26 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_1655916159e_bool @t28 @t24)))))) % 1.20/1.42 (assume @p14 (forall (@list @t29 @t24) (=> @t26 (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_nat_fun_a_bool @t29 @t24)))))) % 1.20/1.42 (assume @p15 (forall (@list @t31 @t30) (=> @t32 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_a_pname @t31 @t30)))))) % 1.20/1.42 (assume @p16 (forall (@list @t34 @t33) (=> @t35 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1921560913_pname @t34 @t33)))))) % 1.20/1.42 (assume @p17 (forall (@list @t37 @t36) (=> @t38 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1283814551_pname @t37 @t36)))))) % 1.20/1.42 (assume @p18 (forall (@list @t40 @t39) (=> @t41 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1854862208_pname @t40 @t39)))))) % 1.20/1.42 (assume @p19 (forall (@list @t42 @t30) (=> @t32 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_a_nat @t42 @t30)))))) % 1.20/1.42 (assume @p20 (forall (@list @t43 @t33) (=> @t35 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_496248727ol_nat @t43 @t33)))))) % 1.20/1.42 (assume @p21 (forall (@list @t44 @t36) (=> @t38 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_1551609309ol_nat @t44 @t36)))))) % 1.20/1.42 (assume @p22 (forall (@list @t45 @t39) (=> @t41 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_fun_a_bool_nat @t45 @t39)))))) % 1.20/1.42 (assume @p23 (forall (@list @t46 @t19) (=> @t21 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_pname_a @t46 @t19)))))) % 1.20/1.42 (assume @p24 (forall @t49 (=> @t5 @t48))) % 1.20/1.42 (assume @p25 (forall @t52 (=> @t7 @t51))) % 1.20/1.42 (assume @p26 (forall @t55 (=> @t9 @t54))) % 1.20/1.42 (assume @p27 (forall @t59 (=> @t14 @t58))) % 1.20/1.42 (assume @p28 (forall @t63 (=> @t17 @t62))) % 1.20/1.42 (assume @p29 (forall @t67 (=> @t11 @t66))) % 1.20/1.42 (assume @p30 (forall @t71 (=> @t14 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t70)) @t68))))) % 1.20/1.42 (assume @p31 (forall @t75 (=> @t11 (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 @t74)) @t72))))) % 1.20/1.42 (assume @p32 (forall (@list @t77 @t4) (=> @t5 (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 @t78)) @t76))))) % 1.20/1.42 (assume @p33 (forall (@list @t80 @t6) (=> @t7 (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 @t81)) @t79))))) % 1.20/1.42 (assume @p34 (forall (@list @t83 @t8) (=> @t9 (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 @t84)) @t82))))) % 1.20/1.42 (assume @p35 (forall @t87 (=> @t14 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t86)) @t68))))) % 1.20/1.42 (assume @p36 (forall @t90 (=> @t11 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t89)) @t72))))) % 1.20/1.42 (assume @p37 (forall @t93 (=> @t5 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t92)) @t76))))) % 1.20/1.42 (assume @p38 (forall @t96 (=> @t7 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t95)) @t79))))) % 1.20/1.42 (assume @p39 (forall @t99 (=> @t9 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t98)) @t82))))) % 1.20/1.42 (assume @p40 (forall @t102 (=> @t11 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t101)) @t72))))) % 1.20/1.42 (assume @p41 (forall @t106 (=> @t17 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t105)) @t103))))) % 1.20/1.42 (assume @p42 (forall @t109 (=> @t14 (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 @t108)) @t68))))) % 1.20/1.42 (assume @p43 (forall @t115 (=> @t114 (=> @t113 (tptp.hBOOL (tptp.hAPP_nat_bool @t112 @t111)))))) % 1.20/1.42 (assume @p44 (forall @t121 (=> @t120 (=> @t119 (tptp.hBOOL (tptp.hAPP_nat_bool @t118 @t117)))))) % 1.20/1.42 (assume @p45 (forall @t127 (=> @t126 (=> @t125 (tptp.hBOOL (tptp.hAPP_nat_bool @t124 @t123)))))) % 1.20/1.42 (assume @p46 (forall @t134 (=> @t133 (=> @t132 (tptp.hBOOL (tptp.hAPP_nat_bool @t130 @t129)))))) % 1.20/1.42 (assume @p47 (forall @t141 (=> @t140 (=> @t139 (tptp.hBOOL (tptp.hAPP_nat_bool @t137 @t136)))))) % 1.20/1.42 (assume @p48 (forall @t148 (=> @t147 (=> @t146 (tptp.hBOOL (tptp.hAPP_nat_bool @t144 @t143)))))) % 1.20/1.42 (assume @p49 (forall @t115 (=> @t114 (=> @t113 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t111) @t76)) (= @t4 @t110)))))) % 1.20/1.42 (assume @p50 (forall @t121 (=> @t120 (=> @t119 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t117) @t79)) (= @t6 @t116)))))) % 1.20/1.42 (assume @p51 (forall @t127 (=> @t126 (=> @t125 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t123) @t82)) (= @t8 @t122)))))) % 1.20/1.42 (assume @p52 (forall @t134 (=> @t133 (=> @t132 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t129) @t68)) @t149))))) % 1.20/1.42 (assume @p53 (forall @t141 (=> @t140 (=> @t139 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t136) @t72)) @t150))))) % 1.20/1.42 (assume @p54 (forall @t148 (=> @t147 (=> @t146 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t143) @t103)) @t151))))) % 1.20/1.42 (assume @p55 (forall @t154 (=> @t5 (tptp.hBOOL (tptp.hAPP_nat_bool @t112 @t153))))) % 1.20/1.42 (assume @p56 (forall @t157 (=> @t7 (tptp.hBOOL (tptp.hAPP_nat_bool @t118 @t156))))) % 1.20/1.42 (assume @p57 (forall @t160 (=> @t9 (tptp.hBOOL (tptp.hAPP_nat_bool @t124 @t159))))) % 1.20/1.42 (assume @p58 (forall @t164 (=> @t14 (tptp.hBOOL (tptp.hAPP_nat_bool @t130 @t163))))) % 1.20/1.42 (assume @p59 (forall @t168 (=> @t17 (tptp.hBOOL (tptp.hAPP_nat_bool @t144 @t167))))) % 1.20/1.42 (assume @p60 (forall @t172 (=> @t11 (tptp.hBOOL (tptp.hAPP_nat_bool @t137 @t171))))) % 1.20/1.42 (assume @p61 (forall @t154 (=> @t5 (and (=> @t173 (= @t153 @t76)) @t174)))) % 1.20/1.42 (assume @p62 (forall @t157 (=> @t7 (and (=> @t175 (= @t156 @t79)) @t176)))) % 1.20/1.42 (assume @p63 (forall @t160 (=> @t9 (and (=> @t177 (= @t159 @t82)) @t178)))) % 1.20/1.42 (assume @p64 (forall @t168 (=> @t17 (and (=> @t180 (= @t167 @t103)) @t182)))) % 1.20/1.42 (assume @p65 (forall @t164 (=> @t14 (and (=> @t184 (= @t163 @t68)) @t186)))) % 1.20/1.42 (assume @p66 (forall @t172 (=> @t11 (and (=> @t188 (= @t171 @t72)) @t190)))) % 1.20/1.42 (assume @p67 (forall @t154 (=> @t5 @t174))) % 1.20/1.42 (assume @p68 (forall @t157 (=> @t7 @t176))) % 1.20/1.42 (assume @p69 (forall @t160 (=> @t9 @t178))) % 1.20/1.42 (assume @p70 (forall @t168 (=> @t17 @t182))) % 1.20/1.42 (assume @p71 (forall @t164 (=> @t14 @t186))) % 1.20/1.42 (assume @p72 (forall @t172 (=> @t11 @t190))) % 1.20/1.42 (assume @p73 (forall (@list @t191 @t192) (=> (or @t195 @t193) (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 @t192) @t191))))))) % 1.20/1.42 (assume @p74 (forall (@list @t196 @t197) (=> (or @t200 @t198) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj @t197) @t196))))))) % 1.20/1.42 (assume @p75 (forall (@list @t201 @t202) (=> (or @t205 @t203) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj @t202) @t201))))))) % 1.20/1.42 (assume @p76 (forall (@list @t206 @t207) (=> (or @t210 @t208) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj @t207) @t206))))))) % 1.20/1.42 (assume @p77 (forall (@list @t211 @t212) (=> (or @t215 @t213) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj @t212) @t211))))))) % 1.20/1.42 (assume @p78 (forall (@list @t216 @t217) (=> (or @t221 @t219) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t218 @t216))))))) % 1.20/1.42 (assume @p79 (forall @t231 (=> @t230 (= @t228 (tptp.hAPP_nat_nat tptp.suc @t225))))) % 1.20/1.42 (assume @p80 (forall @t234 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool @t233 @t232)))))) % 1.20/1.42 (assume @p81 (forall @t237 (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool @t233 @t235))) @t236))) % 1.20/1.42 (assume @p82 (forall @t241 (=> (= (tptp.hAPP_nat_nat tptp.suc @t239) (tptp.hAPP_nat_nat tptp.suc @t238)) @t240))) % 1.20/1.42 (assume @p83 (forall (@list @t243 @t242) (= (= (tptp.hAPP_nat_nat tptp.suc @t243) (tptp.hAPP_nat_nat tptp.suc @t242)) (= @t243 @t242)))) % 1.20/1.42 (assume @p84 (forall @t245 (not (= @t244 @t222)))) % 1.20/1.42 (assume @p85 (forall @t245 (not (= @t222 @t244)))) % 1.20/1.42 (assume @p86 (forall @t249 (=> @t248 (=> @t230 @t246)))) % 1.20/1.42 (assume @p87 (forall @t255 (=> @t254 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t253) @t250)) (tptp.hBOOL (tptp.hAPP_nat_bool @t252 @t250)))))) % 1.20/1.42 (assume @p88 (forall @t249 (=> @t246 @t248))) % 1.20/1.42 (assume @p89 (forall @t249 (or @t248 @t230))) % 1.20/1.42 (assume @p90 (forall @t245 (tptp.hBOOL (tptp.hAPP_nat_bool @t229 @t222)))) % 1.20/1.42 (assume @p91 (forall @t258 (= @t257 (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat @t256 @t250)) @t253)))) % 1.20/1.42 (assume @p92 (forall (@list @t192 @t191) (= (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 @t192) @t191)))) (and @t195 @t193)))) % 1.20/1.42 (assume @p93 (forall (@list @t197 @t196) (= (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj @t197) @t196)))) (and @t200 @t198)))) % 1.20/1.42 (assume @p94 (forall (@list @t202 @t201) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj @t202) @t201)))) (and @t205 @t203)))) % 1.20/1.42 (assume @p95 (forall (@list @t207 @t206) (= (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj @t207) @t206)))) (and @t210 @t208)))) % 1.20/1.42 (assume @p96 (forall (@list @t212 @t211) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj @t212) @t211)))) (and @t215 @t213)))) % 1.20/1.42 (assume @p97 (forall (@list @t217 @t216) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj @t217) @t216)))) (and @t221 @t219)))) % 1.20/1.42 (assume @p98 (forall @t49 (= @t48 @t5))) % 1.20/1.42 (assume @p99 (forall @t52 (= @t51 @t7))) % 1.20/1.42 (assume @p100 (forall @t55 (= @t54 @t9))) % 1.20/1.42 (assume @p101 (forall @t59 (= @t58 @t14))) % 1.20/1.42 (assume @p102 (forall @t63 (= @t62 @t17))) % 1.20/1.42 (assume @p103 (forall @t67 (= @t66 @t11))) % 1.20/1.42 (assume @p104 (forall @t115 (=> @t113 (=> @t114 @t5)))) % 1.20/1.42 (assume @p105 (forall @t121 (=> @t119 (=> @t120 @t7)))) % 1.20/1.42 (assume @p106 (forall @t127 (=> @t125 (=> @t126 @t9)))) % 1.20/1.42 (assume @p107 (forall @t141 (=> @t139 (=> @t140 @t11)))) % 1.20/1.42 (assume @p108 (forall @t134 (=> @t132 (=> @t133 @t14)))) % 1.20/1.42 (assume @p109 (forall @t148 (=> @t146 (=> @t147 @t17)))) % 1.20/1.42 (assume @p110 (forall @t115 (=> @t114 (=> @t113 @t5)))) % 1.20/1.42 (assume @p111 (forall @t121 (=> @t120 (=> @t119 @t7)))) % 1.20/1.42 (assume @p112 (forall @t127 (=> @t126 (=> @t125 @t9)))) % 1.20/1.42 (assume @p113 (forall @t141 (=> @t140 (=> @t139 @t11)))) % 1.20/1.42 (assume @p114 (forall @t134 (=> @t133 (=> @t132 @t14)))) % 1.20/1.42 (assume @p115 (forall @t148 (=> @t147 (=> @t146 @t17)))) % 1.20/1.42 (assume @p116 (forall @t249 (=> @t259 @t248))) % 1.20/1.42 (assume @p117 (forall @t249 (=> @t260 (=> (not @t248) (= @t223 @t244))))) % 1.20/1.42 (assume @p118 (forall @t249 (=> @t248 @t260))) % 1.20/1.42 (assume @p119 (forall @t265 (= (tptp.hBOOL (tptp.hAPP_nat_bool @t264 @t263)) (tptp.hBOOL (tptp.hAPP_nat_bool @t262 @t261))))) % 1.20/1.42 (assume @p120 (forall @t268 (= (tptp.hBOOL (tptp.hAPP_nat_bool @t266 @t236)) (or @t267 (= @t261 @t236))))) % 1.20/1.42 (assume @p121 (forall @t268 (= (not @t267) @t269))) % 1.20/1.42 (assume @p122 (forall @t245 (not (tptp.hBOOL (tptp.hAPP_nat_bool @t270 @t222))))) % 1.20/1.42 (assume @p123 (forall @t271 (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t228) (tptp.hAPP_nat_nat tptp.suc @t250)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t225) @t250)))) % 1.20/1.42 (assume @p124 (forall @t249 (= (tptp.hAPP_nat_nat @t227 @t244) @t225))) % 1.20/1.42 (assume @p125 (forall @t278 (=> @t277 (=> @t276 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t274) @t272)) @t267))))) % 1.20/1.42 (assume @p126 (forall (@list @t222 @t250 @t223) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t280 @t223)) (=> @t281 (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat @t224 @t250)) (tptp.hAPP_nat_nat @t279 @t250)) @t225))))) % 1.20/1.42 (assume @p127 (forall @t278 (=> @t277 (=> @t276 (= (= @t274 @t272) @t282))))) % 1.20/1.42 (assume @p128 (forall (@list @t251 @t222) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t252 @t222)) (= (tptp.hAPP_nat_nat @t279 (tptp.hAPP_nat_nat @t279 @t251)) @t251)))) % 1.20/1.42 (assume @p129 (forall @t284 (=> @t248 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t224 @t283)) (tptp.hAPP_nat_nat @t279 @t283)))))) % 1.20/1.42 (assume @p130 (forall @t284 (=> @t248 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t287) @t286))))) % 1.20/1.42 (assume @p131 (forall @t249 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t225) @t223)))) % 1.20/1.42 (assume @p132 (forall (@list @t135 @t73 @t10) (=> @t11 (=> @t289 @t140)))) % 1.20/1.42 (assume @p133 (forall (@list @t135 @t77 @t4) (=> @t5 (=> @t290 @t140)))) % 1.20/1.42 (assume @p134 (forall (@list @t135 @t80 @t6) (=> @t7 (=> @t291 @t140)))) % 1.20/1.42 (assume @p135 (forall (@list @t135 @t83 @t8) (=> @t9 (=> @t292 @t140)))) % 1.20/1.42 (assume @p136 (forall (@list @t110 @t293 @t13) (=> @t14 (=> @t296 @t114)))) % 1.20/1.42 (assume @p137 (forall (@list @t116 @t297 @t13) (=> @t14 (=> @t300 @t120)))) % 1.20/1.42 (assume @p138 (forall (@list @t122 @t301 @t13) (=> @t14 (=> @t304 @t126)))) % 1.20/1.42 (assume @p139 (forall (@list @t128 @t69 @t13) (=> @t14 (=> @t306 @t133)))) % 1.20/1.42 (assume @p140 (forall (@list @t142 @t85 @t13) (=> @t14 (=> @t308 @t147)))) % 1.20/1.42 (assume @p141 (forall @t312 (=> @t17 (=> @t311 @t140)))) % 1.20/1.42 (assume @p142 (forall (@list @t110 @t313 @t16) (=> @t17 (=> @t315 @t114)))) % 1.20/1.42 (assume @p143 (forall (@list @t116 @t316 @t16) (=> @t17 (=> @t318 @t120)))) % 1.20/1.42 (assume @p144 (forall (@list @t122 @t319 @t16) (=> @t17 (=> @t321 @t126)))) % 1.20/1.42 (assume @p145 (forall (@list @t128 @t104 @t16) (=> @t17 (=> @t322 @t133)))) % 1.20/1.42 (assume @p146 (forall (@list @t142 @t323 @t16) (=> @t17 (=> @t325 @t147)))) % 1.20/1.42 (assume @p147 (forall @t327 (=> @t11 (=> @t326 @t133)))) % 1.20/1.42 (assume @p148 (forall (@list @t128 @t328 @t4) (=> @t5 (=> @t330 @t133)))) % 1.20/1.42 (assume @p149 (forall (@list @t128 @t331 @t6) (=> @t7 (=> @t333 @t133)))) % 1.20/1.42 (assume @p150 (forall (@list @t128 @t334 @t8) (=> @t9 (=> @t336 @t133)))) % 1.20/1.42 (assume @p151 (forall @t338 (=> @t11 (=> @t337 @t147)))) % 1.20/1.42 (assume @p152 (forall (@list @t142 @t91 @t4) (=> @t5 (=> @t339 @t147)))) % 1.20/1.42 (assume @p153 (forall (@list @t142 @t94 @t6) (=> @t7 (=> @t340 @t147)))) % 1.20/1.42 (assume @p154 (forall (@list @t142 @t97 @t8) (=> @t9 (=> @t341 @t147)))) % 1.20/1.42 (assume @p155 (forall @t343 (=> @t14 (=> @t342 @t140)))) % 1.20/1.42 (assume @p156 (forall (@list @t77 @t4 @t135) (=> @t140 (=> @t290 (exists @t347 (and @t346 @t345 (= @t135 (tptp.image_fun_nat_bool_a @t77 @t344)))))))) % 1.20/1.42 (assume @p157 (forall (@list @t80 @t6 @t135) (=> @t140 (=> @t291 (exists @t351 (and @t350 @t349 (= @t135 (tptp.image_876012084bool_a @t80 @t348)))))))) % 1.20/1.42 (assume @p158 (forall (@list @t83 @t8 @t135) (=> @t140 (=> @t292 (exists @t355 (and @t354 @t353 (= @t135 (tptp.image_fun_a_bool_a @t83 @t352)))))))) % 1.20/1.42 (assume @p159 (forall (@list @t73 @t10 @t135) (=> @t140 (=> @t289 (exists @t359 (and @t358 @t357 (= @t135 (tptp.image_a_a @t73 @t356)))))))) % 1.20/1.42 (assume @p160 (forall (@list @t360 @t10 @t110) (=> @t114 (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t295 @t361)) (exists @t359 (and @t358 @t357 (= @t110 (tptp.image_a_fun_nat_bool @t360 @t356)))))))) % 1.20/1.42 (assume @p161 (forall (@list @t362 @t10 @t116) (=> @t120 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t299 @t363)) (exists @t359 (and @t358 @t357 (= @t116 (tptp.image_819518260e_bool @t362 @t356)))))))) % 1.20/1.42 (assume @p162 (forall (@list @t364 @t10 @t122) (=> @t126 (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t303 @t365)) (exists @t359 (and @t358 @t357 (= @t122 (tptp.image_a_fun_a_bool @t364 @t356)))))))) % 1.20/1.42 (assume @p163 (forall (@list @t100 @t10 @t128) (=> @t133 (=> @t326 (exists @t359 (and @t358 @t357 (= @t128 (tptp.image_a_pname @t100 @t356)))))))) % 1.20/1.42 (assume @p164 (forall (@list @t328 @t4 @t128) (=> @t133 (=> @t330 (exists @t347 (and @t346 @t345 (= @t128 (tptp.image_1921560913_pname @t328 @t344)))))))) % 1.20/1.42 (assume @p165 (forall (@list @t331 @t6 @t128) (=> @t133 (=> @t333 (exists @t351 (and @t350 @t349 (= @t128 (tptp.image_1283814551_pname @t331 @t348)))))))) % 1.20/1.42 (assume @p166 (forall (@list @t334 @t8 @t128) (=> @t133 (=> @t336 (exists @t355 (and @t354 @t353 (= @t128 (tptp.image_1854862208_pname @t334 @t352)))))))) % 1.20/1.42 (assume @p167 (forall (@list @t88 @t10 @t142) (=> @t147 (=> @t337 (exists @t359 (and @t358 @t357 (= @t142 (tptp.image_a_nat @t88 @t356)))))))) % 1.20/1.42 (assume @p168 (forall (@list @t91 @t4 @t142) (=> @t147 (=> @t339 (exists @t347 (and @t346 @t345 (= @t142 (tptp.image_496248727ol_nat @t91 @t344)))))))) % 1.20/1.42 (assume @p169 (forall (@list @t94 @t6 @t142) (=> @t147 (=> @t340 (exists @t351 (and @t350 @t349 (= @t142 (tptp.image_1551609309ol_nat @t94 @t348)))))))) % 1.20/1.42 (assume @p170 (forall (@list @t97 @t8 @t142) (=> @t147 (=> @t341 (exists @t355 (and @t354 @t353 (= @t142 (tptp.image_fun_a_bool_nat @t97 @t352)))))))) % 1.20/1.42 (assume @p171 (forall (@list @t293 @t13 @t110) (=> @t114 (=> @t296 (exists @t369 (and @t368 @t367 (= @t110 (tptp.image_2129980159t_bool @t293 @t366)))))))) % 1.20/1.42 (assume @p172 (forall (@list @t297 @t13 @t116) (=> @t120 (=> @t300 (exists @t369 (and @t368 @t367 (= @t116 (tptp.image_47868345e_bool @t297 @t366)))))))) % 1.20/1.42 (assume @p173 (forall (@list @t301 @t13 @t122) (=> @t126 (=> @t304 (exists @t369 (and @t368 @t367 (= @t122 (tptp.image_112932426a_bool @t301 @t366)))))))) % 1.20/1.42 (assume @p174 (forall (@list @t69 @t13 @t128) (=> @t133 (=> @t306 (exists @t369 (and @t368 @t367 (= @t128 (tptp.image_pname_pname @t69 @t366)))))))) % 1.20/1.42 (assume @p175 (forall (@list @t85 @t13 @t142) (=> @t147 (=> @t308 (exists @t369 (and @t368 @t367 (= @t142 (tptp.image_pname_nat @t85 @t366)))))))) % 1.20/1.42 (assume @p176 (forall (@list @t309 @t16 @t135) (=> @t140 (=> @t311 (exists @t373 (and @t372 @t371 (= @t135 (tptp.image_nat_a @t309 @t370)))))))) % 1.20/1.42 (assume @p177 (forall (@list @t313 @t16 @t110) (=> @t114 (=> @t315 (exists @t373 (and @t372 @t371 (= @t110 (tptp.image_26036933t_bool @t313 @t370)))))))) % 1.20/1.42 (assume @p178 (forall (@list @t316 @t16 @t116) (=> @t120 (=> @t318 (exists @t373 (and @t372 @t371 (= @t116 (tptp.image_1655916159e_bool @t316 @t370)))))))) % 1.20/1.42 (assume @p179 (forall (@list @t319 @t16 @t122) (=> @t126 (=> @t321 (exists @t373 (and @t372 @t371 (= @t122 (tptp.image_nat_fun_a_bool @t319 @t370)))))))) % 1.20/1.42 (assume @p180 (forall (@list @t104 @t16 @t128) (=> @t133 (=> @t322 (exists @t373 (and @t372 @t371 (= @t128 (tptp.image_nat_pname @t104 @t370)))))))) % 1.20/1.42 (assume @p181 (forall (@list @t323 @t16 @t142) (=> @t147 (=> @t325 (exists @t373 (and @t372 @t371 (= @t142 (tptp.image_nat_nat @t323 @t370)))))))) % 1.20/1.42 (assume @p182 (forall (@list @t107 @t13 @t135) (=> @t140 (=> @t342 (exists @t369 (and @t368 @t367 (= @t135 (tptp.image_pname_a @t107 @t366)))))))) % 1.20/1.42 (assume @p183 (forall (@list @t235 @t374 @t375) (=> (forall @t379 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool @t375 @t377)) (tptp.hAPP_nat_bool @t375 @t378)))) (=> @t376 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool @t375 @t235)) (tptp.hAPP_nat_bool @t375 @t374))))))) % 1.20/1.42 (assume @p184 (forall (@list @t235 @t374 @t316) (=> (forall @t379 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_n1025906991e_bool @t316 @t377)) (tptp.hAPP_n1025906991e_bool @t316 @t378)))) (=> @t376 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_n1025906991e_bool @t316 @t235)) (tptp.hAPP_n1025906991e_bool @t316 @t374))))))) % 1.20/1.42 (assume @p185 (forall (@list @t235 @t374 @t313) (=> (forall @t379 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool @t313 @t377)) (tptp.hAPP_n1699378549t_bool @t313 @t378)))) (=> @t376 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool @t313 @t235)) (tptp.hAPP_n1699378549t_bool @t313 @t374))))))) % 1.20/1.42 (assume @p186 (forall (@list @t235 @t374 @t319) (=> (forall @t379 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_nat_fun_a_bool @t319 @t377)) (tptp.hAPP_nat_fun_a_bool @t319 @t378)))) (=> @t376 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_nat_fun_a_bool @t319 @t235)) (tptp.hAPP_nat_fun_a_bool @t319 @t374))))))) % 1.20/1.42 (assume @p187 (forall (@list @t235 @t374 @t323) (=> (forall @t379 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t380) (tptp.hAPP_nat_nat @t323 @t378)))) (=> @t376 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t323 @t235)) (tptp.hAPP_nat_nat @t323 @t374))))))) % 1.20/1.42 (assume @p188 (forall @t106 (=> @t388 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t105)) (exists @t387 (and @t386 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t384 (tptp.hAPP_p1499970991t_bool (tptp.cOMBC_nat_pname_bool (tptp.cOMBB_1212655066ol_nat tptp.fequal_pname @t104)) @t382)))))))))))) % 1.20/1.42 (assume @p189 (forall @t102 (=> @t396 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t101)) (exists @t395 (and @t394 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool @t392 (tptp.hAPP_p1534023578a_bool (tptp.cOMBC_a_pname_bool (tptp.cOMBB_610033911bool_a tptp.fequal_pname @t100)) @t390)))))))))))) % 1.20/1.42 (assume @p190 (forall @t71 (=> @t404 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t70)) (exists @t403 (and @t402 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool @t400 (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool (tptp.cOMBB_542850580_pname tptp.fequal_pname @t69)) @t398)))))))))))) % 1.20/1.42 (assume @p191 (forall (@list @t328 @t4) (=> @t411 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t329)) (exists @t410 (and @t409 (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool @t407 (tptp.hAPP_p130839763l_bool (tptp.cOMBC_615407716e_bool (tptp.cOMBB_141086128t_bool tptp.fequal_pname @t328)) (tptp.hAPP_f1291551745_pname @t328 @t405))))))))))))) % 1.20/1.42 (assume @p192 (forall (@list @t331 @t6) (=> @t418 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t332)) (exists @t417 (and @t416 (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool @t414 (tptp.hAPP_p338031245l_bool (tptp.cOMBC_1004116266e_bool (tptp.cOMBB_598082538e_bool tptp.fequal_pname @t331)) (tptp.hAPP_f1297739591_pname @t331 @t412))))))))))))) % 1.20/1.42 (assume @p193 (forall (@list @t334 @t8) (=> @t425 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t335)) (exists @t424 (and @t423 (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool @t421 (tptp.hAPP_p1824510254l_bool (tptp.cOMBC_1738168533e_bool (tptp.cOMBB_1693087065a_bool tptp.fequal_pname @t334)) (tptp.hAPP_f1128469712_pname @t334 @t419))))))))))))) % 1.20/1.42 (assume @p194 (forall (@list @t323 @t16) (=> @t388 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t324)) (exists @t387 (and @t386 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t384 (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool (tptp.cOMBB_800536526ol_nat tptp.fequal_nat @t323)) (tptp.hAPP_nat_nat @t323 @t381))))))))))))) % 1.20/1.42 (assume @p195 (forall @t90 (=> @t396 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t89)) (exists @t395 (and @t394 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool @t392 (tptp.hAPP_nat_fun_a_bool (tptp.cOMBC_a_nat_bool (tptp.cOMBB_1321347587bool_a tptp.fequal_nat @t88)) @t426)))))))))))) % 1.20/1.42 (assume @p196 (forall @t87 (=> @t404 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t86)) (exists @t403 (and @t402 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool @t400 (tptp.hAPP_n1025906991e_bool (tptp.cOMBC_pname_nat_bool (tptp.cOMBB_523834888_pname tptp.fequal_nat @t85)) @t427)))))))))))) % 1.20/1.42 (assume @p197 (forall @t93 (=> @t411 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t92)) (exists @t410 (and @t409 (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool @t407 (tptp.hAPP_n215258509l_bool (tptp.cOMBC_385542954t_bool (tptp.cOMBB_1250273980t_bool tptp.fequal_nat @t91)) (tptp.hAPP_f22106695ol_nat @t91 @t405))))))))))))) % 1.20/1.42 (assume @p198 (forall @t96 (=> @t418 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t95)) (exists @t417 (and @t416 (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool @t414 (tptp.hAPP_n850744903l_bool (tptp.cOMBC_1666426608t_bool (tptp.cOMBB_1896684278e_bool tptp.fequal_nat @t94)) (tptp.hAPP_f921600141ol_nat @t94 @t412))))))))))))) % 1.20/1.42 (assume @p199 (forall @t99 (=> @t425 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t98)) (exists @t424 (and @t423 (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool @t421 (tptp.hAPP_n1414589940l_bool (tptp.cOMBC_619334683t_bool (tptp.cOMBB_164527437a_bool tptp.fequal_nat @t97)) (tptp.hAPP_fun_a_bool_nat @t97 @t419))))))))))))) % 1.20/1.42 (assume @p200 (forall (@list @t309 @t16) (=> @t388 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t310)) (exists @t387 (and @t386 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t384 (tptp.hAPP_a_fun_nat_bool (tptp.cOMBC_nat_a_bool (tptp.cOMBB_1885489796ol_nat tptp.fequal_a @t309)) @t428)))))))))))) % 1.20/1.42 (assume @p201 (forall (@list @t313 @t16) (=> @t388 (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t314)) (exists @t387 (and @t386 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t384 (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool (tptp.cOMBB_2026977092ol_nat tptp.fequal_fun_nat_bool @t313)) (tptp.hAPP_n1699378549t_bool @t313 @t381))))))))))))) % 1.20/1.42 (assume @p202 (forall (@list @t316 @t16) (=> @t388 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t317)) (exists @t387 (and @t386 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t384 (tptp.hAPP_f1066163005t_bool (tptp.cOMBC_386238098l_bool (tptp.cOMBB_2117322052ol_nat tptp.fequal533582459e_bool @t316)) (tptp.hAPP_n1025906991e_bool @t316 @t381))))))))))))) % 1.20/1.42 (assume @p203 (forall (@list @t319 @t16) (=> @t388 (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t320)) (exists @t387 (and @t386 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t384 (tptp.hAPP_f282463732t_bool (tptp.cOMBC_1928494297l_bool (tptp.cOMBB_1823939024ol_nat tptp.fequal_fun_a_bool @t319)) (tptp.hAPP_nat_fun_a_bool @t319 @t381))))))))))))) % 1.20/1.42 (assume @p204 (forall (@list @t293 @t13) (=> @t404 (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t294)) (exists @t403 (and @t402 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool @t400 (tptp.hAPP_f654413245e_bool (tptp.cOMBC_267053842l_bool (tptp.cOMBB_928955006_pname tptp.fequal_fun_nat_bool @t293)) (tptp.hAPP_p1499970991t_bool @t293 @t397))))))))))))) % 1.20/1.42 (assume @p205 (forall (@list @t297 @t13) (=> @t404 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t298)) (exists @t403 (and @t402 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool @t400 (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool (tptp.cOMBB_408569982_pname tptp.fequal533582459e_bool @t297)) (tptp.hAPP_p61793385e_bool @t297 @t397))))))))))))) % 1.20/1.42 (assume @p206 (forall (@list @t301 @t13) (=> @t404 (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t302)) (exists @t403 (and @t402 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool @t400 (tptp.hAPP_f1794073134e_bool (tptp.cOMBC_445755039l_bool (tptp.cOMBB_392435466_pname tptp.fequal_fun_a_bool @t301)) (tptp.hAPP_p1534023578a_bool @t301 @t397))))))))))))) % 1.20/1.42 (assume @p207 (forall @t75 (=> @t396 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t74)) (exists @t395 (and @t394 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool @t392 (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool (tptp.cOMBB_a_fun_a_bool_a tptp.fequal_a @t73)) (tptp.hAPP_a_a @t73 @t389))))))))))))) % 1.20/1.42 (assume @p208 (forall (@list @t360 @t10) (=> @t396 (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t361)) (exists @t395 (and @t394 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool @t392 (tptp.hAPP_f1549043526a_bool (tptp.cOMBC_777206479l_bool (tptp.cOMBB_743407885bool_a tptp.fequal_fun_nat_bool @t360)) (tptp.hAPP_a_fun_nat_bool @t360 @t389))))))))))))) % 1.20/1.42 (assume @p209 (forall (@list @t362 @t10) (=> @t396 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t363)) (exists @t395 (and @t394 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool @t392 (tptp.hAPP_f1051908748a_bool (tptp.cOMBC_1834145417l_bool (tptp.cOMBB_1137537805bool_a tptp.fequal533582459e_bool @t362)) (tptp.hAPP_a93125764e_bool @t362 @t389))))))))))))) % 1.20/1.42 (assume @p210 (forall (@list @t364 @t10) (=> @t396 (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t365)) (exists @t395 (and @t394 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool @t392 (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool (tptp.cOMBB_472261505bool_a tptp.fequal_fun_a_bool @t364)) (tptp.hAPP_a_fun_a_bool @t364 @t389))))))))))))) % 1.20/1.42 (assume @p211 (forall @t109 (=> @t404 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t108)) (exists @t403 (and @t402 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool @t400 (tptp.hAPP_a93125764e_bool (tptp.cOMBC_pname_a_bool (tptp.cOMBB_1897541054_pname tptp.fequal_a @t107)) @t429)))))))))))) % 1.20/1.42 (assume @p212 (forall (@list @t13 @t430 @t85 @t161) (=> @t434 (=> @t184 @t432)))) % 1.20/1.42 (assume @p213 (forall (@list @t10 @t430 @t88 @t169) (=> @t437 (=> @t188 @t435)))) % 1.20/1.42 (assume @p214 (forall (@list @t16 @t438 @t104 @t165) (=> @t442 (=> @t180 @t440)))) % 1.20/1.42 (assume @p215 (forall (@list @t16 @t443 @t309 @t165) (=> @t447 (=> @t180 @t445)))) % 1.20/1.42 (assume @p216 @t453) % 1.20/1.42 (assume @p217 (forall @t134 (=> @t132 (=> @t454 @t149)))) % 1.20/1.42 (assume @p218 (forall @t148 (=> @t146 (=> @t455 @t151)))) % 1.20/1.42 (assume @p219 (forall @t141 (=> @t139 (=> @t456 @t150)))) % 1.20/1.42 (assume @p220 (forall (@list @t457 @t16 @t142) (=> @t146 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t458 @t16)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t458 @t142)))))) % 1.20/1.42 (assume @p221 (forall (@list @t459 @t13 @t128) (=> @t132 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t460 @t13)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t460 @t128)))))) % 1.20/1.42 (assume @p222 (forall (@list @t461 @t10 @t135) (=> @t139 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t462 @t10)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t462 @t135)))))) % 1.20/1.42 (assume @p223 (forall @t468 (=> (=> (not @t467) @t466) @t465))) % 1.20/1.42 (assume @p224 (forall @t474 (=> (=> (not @t473) @t472) @t471))) % 1.20/1.42 (assume @p225 (forall @t480 (=> (=> (not @t479) @t478) @t477))) % 1.20/1.42 (assume @p226 (forall @t483 (=> @t482 (=> (not @t466) @t481)))) % 1.20/1.42 (assume @p227 (forall @t486 (=> @t485 (=> (not @t472) @t484)))) % 1.20/1.42 (assume @p228 (forall @t489 (=> @t488 (=> (not @t478) @t487)))) % 1.20/1.42 (assume @p229 (forall (@list @t490 @t217 @t232) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t217 @t232)) (=> (forall @t379 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t217 @t378)) (tptp.hBOOL (tptp.hAPP_nat_bool @t217 @t377)))) (tptp.hBOOL (tptp.hAPP_nat_bool @t217 (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t232) @t490))))))) % 1.20/1.42 (assume @p230 (forall (@list @t222 @t492) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t270 @t492)) (exists @t493 (= @t492 (tptp.hAPP_nat_nat tptp.suc @t491)))))) % 1.20/1.42 (assume @p231 (forall @t495 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t464 @t494)))) % 1.20/1.42 (assume @p232 (forall @t497 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t470 @t496)))) % 1.20/1.42 (assume @p233 (forall @t499 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t476 @t498)))) % 1.20/1.42 (assume @p234 (forall (@list @t47 @t110) (= (tptp.insert_fun_nat_bool @t47 @t110) (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj @t501) (tptp.hAPP_f1246832597l_bool @t406 @t110)))))) % 1.20/1.42 (assume @p235 (forall (@list @t50 @t116) (= (tptp.insert1325755072e_bool @t50 @t116) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj @t503) (tptp.hAPP_f559147733l_bool @t413 @t116)))))) % 1.20/1.42 (assume @p236 (forall (@list @t53 @t122) (= (tptp.insert_fun_a_bool @t53 @t122) (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj @t505) (tptp.hAPP_f2117159681l_bool @t420 @t122)))))) % 1.20/1.42 (assume @p237 (forall @t495 (= @t494 (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj @t507) (tptp.hAPP_f800510211t_bool @t383 @t142)))))) % 1.20/1.42 (assume @p238 (forall @t497 (= @t496 (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj @t509) (tptp.hAPP_f759274231e_bool @t399 @t128)))))) % 1.20/1.42 (assume @p239 (forall @t499 (= @t498 (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fdisj @t511) (tptp.hAPP_f2050579477a_bool @t391 @t135)))))) % 1.20/1.42 (assume @p240 (forall (@list @t56 @t212) (= (tptp.insert_pname @t56 @t214) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fimplies (tptp.cOMBB_647938656_pname tptp.fNot @t509)) @t212))))) % 1.20/1.42 (assume @p241 (forall (@list @t47 @t197) (= (tptp.insert_fun_nat_bool @t47 @t199) (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fimplies (tptp.cOMBB_238756964t_bool tptp.fNot @t501)) @t197))))) % 1.20/1.42 (assume @p242 (forall (@list @t50 @t202) (= (tptp.insert1325755072e_bool @t50 @t204) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fimplies (tptp.cOMBB_307249310e_bool tptp.fNot @t503)) @t202))))) % 1.20/1.42 (assume @p243 (forall (@list @t53 @t207) (= (tptp.insert_fun_a_bool @t53 @t209) (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fimplies (tptp.cOMBB_2140588453a_bool tptp.fNot @t505)) @t207))))) % 1.20/1.42 (assume @p244 (forall (@list @t60 @t217) (= (tptp.insert_nat @t60 @t220) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fimplies (tptp.cOMBB_bool_bool_nat tptp.fNot @t507)) @t217))))) % 1.20/1.42 (assume @p245 (forall (@list @t64 @t192) (= (tptp.insert_a @t64 @t194) (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fimplies (tptp.cOMBB_bool_bool_a tptp.fNot @t511)) @t192))))) % 1.20/1.42 (assume @p246 (forall @t164 (= (tptp.insert_pname @t161 @t162) @t162))) % 1.20/1.42 (assume @p247 (forall @t168 (= (tptp.insert_nat @t165 @t166) @t166))) % 1.20/1.42 (assume @p248 (forall @t172 (= (tptp.insert_a @t169 @t170) @t170))) % 1.20/1.42 (assume @p249 (forall (@list @t161 @t512 @t13) (= (tptp.insert_pname @t161 @t513) (tptp.insert_pname @t512 @t162)))) % 1.20/1.42 (assume @p250 (forall (@list @t165 @t514 @t16) (= (tptp.insert_nat @t165 @t515) (tptp.insert_nat @t514 @t166)))) % 1.20/1.42 (assume @p251 (forall (@list @t169 @t516 @t10) (= (tptp.insert_a @t169 @t517) (tptp.insert_a @t516 @t170)))) % 1.20/1.42 (assume @p252 (forall @t483 (= @t482 (or @t466 @t481)))) % 1.20/1.42 (assume @p253 (forall @t486 (= @t485 (or @t472 @t484)))) % 1.20/1.42 (assume @p254 (forall @t489 (= @t488 (or @t478 @t487)))) % 1.20/1.42 (assume @p255 (forall (@list @t512 @t13 @t161) (= (tptp.hBOOL (tptp.hAPP_pname_bool @t513 @t161)) (or (= @t512 @t161) @t518)))) % 1.20/1.42 (assume @p256 (forall (@list @t514 @t16 @t165) (= (tptp.hBOOL (tptp.hAPP_nat_bool @t515 @t165)) (or (= @t514 @t165) @t519)))) % 1.20/1.42 (assume @p257 (forall (@list @t516 @t10 @t169) (= (tptp.hBOOL (tptp.hAPP_a_bool @t517 @t169)) (or (= @t516 @t169) @t520)))) % 1.20/1.42 (assume @p258 (forall @t523 (=> @t181 (=> (not @t522) (= (= @t166 @t521) @t151))))) % 1.20/1.42 (assume @p259 (forall @t526 (=> @t185 (=> (not @t525) (= (= @t162 @t524) @t149))))) % 1.20/1.42 (assume @p260 (forall @t529 (=> @t189 (=> (not @t528) (= (= @t170 @t527) @t150))))) % 1.20/1.42 (assume @p261 (forall @t468 (=> @t467 @t465))) % 1.20/1.42 (assume @p262 (forall @t474 (=> @t473 @t471))) % 1.20/1.42 (assume @p263 (forall @t480 (=> @t479 @t477))) % 1.20/1.42 (assume @p264 (forall @t63 (=> @t481 (= @t61 @t16)))) % 1.20/1.42 (assume @p265 (forall @t59 (=> @t484 (= @t57 @t13)))) % 1.20/1.42 (assume @p266 (forall @t67 (=> @t487 (= @t65 @t10)))) % 1.20/1.42 (assume @p267 (forall @t15 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 @t13)))) % 1.20/1.42 (assume @p268 (forall @t18 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t145 @t16)))) % 1.20/1.42 (assume @p269 (forall @t12 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t138 @t10)))) % 1.20/1.42 (assume @p270 (forall @t134 (= @t149 (and @t132 @t454)))) % 1.20/1.42 (assume @p271 (forall @t148 (= @t151 (and @t146 @t455)))) % 1.20/1.42 (assume @p272 (forall @t141 (= @t150 (and @t139 @t456)))) % 1.20/1.42 (assume @p273 (forall @t134 (=> @t149 @t132))) % 1.20/1.42 (assume @p274 (forall @t148 (=> @t151 @t146))) % 1.20/1.42 (assume @p275 (forall @t141 (=> @t150 @t139))) % 1.20/1.42 (assume @p276 (forall @t134 (=> @t149 @t454))) % 1.20/1.42 (assume @p277 (forall @t148 (=> @t151 @t455))) % 1.20/1.42 (assume @p278 (forall @t141 (=> @t150 @t456))) % 1.20/1.42 (assume @p279 (forall @t530 (=> @t146 (=> @t180 @t522)))) % 1.20/1.42 (assume @p280 (forall @t531 (=> @t132 (=> @t184 @t525)))) % 1.20/1.42 (assume @p281 (forall @t532 (=> @t139 (=> @t188 @t528)))) % 1.20/1.42 (assume @p282 (forall @t523 (=> @t180 (=> @t146 @t522)))) % 1.20/1.42 (assume @p283 (forall @t526 (=> @t184 (=> @t132 @t525)))) % 1.20/1.42 (assume @p284 (forall @t529 (=> @t188 (=> @t139 @t528)))) % 1.20/1.42 (assume @p285 (forall @t168 (= @t180 @t519))) % 1.20/1.42 (assume @p286 (forall @t164 (= @t184 @t518))) % 1.20/1.42 (assume @p287 (forall @t172 (= @t188 @t520))) % 1.20/1.42 (assume @p288 (forall @t533 (= @t194 @t192))) % 1.20/1.42 (assume @p289 (forall @t534 (= @t214 @t212))) % 1.20/1.42 (assume @p290 (forall @t535 (= @t199 @t197))) % 1.20/1.42 (assume @p291 (forall @t536 (= @t204 @t202))) % 1.20/1.42 (assume @p292 (forall @t537 (= @t209 @t207))) % 1.20/1.42 (assume @p293 (forall @t538 (= @t220 @t217))) % 1.20/1.42 (assume @p294 (forall (@list @t539 @t13 @t128) (=> @t132 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t305 @t539)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 @t539)))))) % 1.20/1.42 (assume @p295 (forall (@list @t540 @t16 @t142) (=> @t146 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t307 @t540)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t145 @t540)))))) % 1.20/1.42 (assume @p296 (forall (@list @t541 @t10 @t135) (=> @t139 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t288 @t541)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t138 @t541)))))) % 1.20/1.42 (assume @p297 (forall @t134 (=> @t149 (not (=> @t132 (not @t454)))))) % 1.20/1.42 (assume @p298 (forall @t148 (=> @t151 (not (=> @t146 (not @t455)))))) % 1.20/1.42 (assume @p299 (forall @t141 (=> @t150 (not (=> @t139 (not @t456)))))) % 1.20/1.42 (assume @p300 (forall (@list @t542 @t107 @t13) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t542) @t108)) (exists @t403 (and @t402 (= @t542 @t429)))))) % 1.20/1.42 (assume @p301 (forall @t543 (=> @t184 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat @t433) @t86))))) % 1.20/1.42 (assume @p302 (forall @t544 (=> @t188 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat @t436) @t89))))) % 1.20/1.42 (assume @p303 (forall (@list @t104 @t165 @t16) (=> @t180 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname @t441) @t105))))) % 1.20/1.42 (assume @p304 (forall @t545 (=> @t180 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t446) @t310))))) % 1.20/1.42 (assume @p305 (forall @t547 (=> @t184 @t546))) % 1.20/1.42 (assume @p306 (forall (@list @t430 @t85 @t161 @t13) (=> @t184 (=> @t434 @t432)))) % 1.20/1.42 (assume @p307 (forall (@list @t430 @t88 @t169 @t10) (=> @t188 (=> @t437 @t435)))) % 1.20/1.42 (assume @p308 (forall (@list @t438 @t104 @t165 @t16) (=> @t180 (=> @t442 @t440)))) % 1.20/1.42 (assume @p309 (forall (@list @t443 @t309 @t165 @t16) (=> @t180 (=> @t447 @t445)))) % 1.20/1.42 (assume @p310 (forall (@list @t443 @t107 @t161 @t13) (=> @t184 (=> @t451 @t448)))) % 1.20/1.42 (assume @p311 (forall (@list @t405 @t548) (= (tptp.insert_fun_nat_bool @t405 @t548) (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj (tptp.hAPP_f103356543l_bool @t500 @t405)) (tptp.hAPP_f1246832597l_bool @t406 @t548)))))) % 1.20/1.42 (assume @p312 (forall (@list @t412 @t549) (= (tptp.insert1325755072e_bool @t412 @t549) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj (tptp.hAPP_f434788991l_bool @t502 @t412)) (tptp.hAPP_f559147733l_bool @t413 @t549)))))) % 1.20/1.42 (assume @p313 (forall (@list @t419 @t550) (= (tptp.insert_fun_a_bool @t419 @t550) (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj (tptp.hAPP_f1631501043l_bool @t504 @t419)) (tptp.hAPP_f2117159681l_bool @t420 @t550)))))) % 1.20/1.42 (assume @p314 (forall (@list @t381 @t551) (= (tptp.insert_nat @t381 @t551) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj (tptp.hAPP_n1699378549t_bool @t506 @t381)) (tptp.hAPP_f800510211t_bool @t383 @t551)))))) % 1.20/1.42 (assume @p315 (forall (@list @t397 @t552) (= (tptp.insert_pname @t397 @t552) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj (tptp.hAPP_p61793385e_bool @t508 @t397)) (tptp.hAPP_f759274231e_bool @t399 @t552)))))) % 1.20/1.42 (assume @p316 (forall (@list @t389 @t553) (= (tptp.insert_a @t389 @t553) (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fdisj (tptp.hAPP_a_fun_a_bool @t510 @t389)) (tptp.hAPP_f2050579477a_bool @t391 @t553)))))) % 1.20/1.42 (assume @p317 (forall (@list @t128 @t56) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t305 @t496)))) % 1.20/1.42 (assume @p318 (forall (@list @t142 @t60) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t307 @t494)))) % 1.20/1.42 (assume @p319 (forall (@list @t135 @t64) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t288 @t498)))) % 1.20/1.42 (assume @p320 (forall @t530 (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t166) @t142)) (and @t522 @t146)))) % 1.20/1.42 (assume @p321 (forall @t531 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t162) @t128)) (and @t525 @t132)))) % 1.20/1.42 (assume @p322 (forall @t532 (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t170) @t135)) (and @t528 @t139)))) % 1.20/1.42 (assume @p323 (forall @t523 (=> @t181 (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t145 @t521)) @t146)))) % 1.20/1.42 (assume @p324 (forall @t526 (=> @t185 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 @t524)) @t132)))) % 1.20/1.42 (assume @p325 (forall @t529 (=> @t189 (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t138 @t527)) @t139)))) % 1.20/1.42 (assume @p326 (forall (@list @t438 @t13 @t128) (=> @t132 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 @t469))))) % 1.20/1.42 (assume @p327 (forall (@list @t430 @t16 @t142) (=> @t146 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t145 @t463))))) % 1.20/1.42 (assume @p328 (forall (@list @t443 @t10 @t135) (=> @t139 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t138 @t475))))) % 1.20/1.42 (assume @p329 (forall (@list @t56 @t539 @t554) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t539) @t554)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.insert_pname @t56 @t539)) (tptp.insert_pname @t56 @t554)))))) % 1.20/1.42 (assume @p330 (forall (@list @t60 @t540 @t555) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t540) @t555)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.insert_nat @t60 @t540)) (tptp.insert_nat @t60 @t555)))))) % 1.20/1.42 (assume @p331 (forall (@list @t64 @t541 @t556) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t541) @t556)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a @t64 @t541)) (tptp.insert_a @t64 @t556)))))) % 1.20/1.42 (assume @p332 (forall (@list @t100 @t64 @t135) (= (tptp.image_a_pname @t100 @t498) (tptp.insert_pname (tptp.hAPP_a_pname @t100 @t64) @t557)))) % 1.20/1.42 (assume @p333 (forall (@list @t88 @t64 @t135) (= (tptp.image_a_nat @t88 @t498) (tptp.insert_nat (tptp.hAPP_a_nat @t88 @t64) @t558)))) % 1.20/1.42 (assume @p334 (forall (@list @t309 @t60 @t142) (= (tptp.image_nat_a @t309 @t494) (tptp.insert_a (tptp.hAPP_nat_a @t309 @t60) @t559)))) % 1.20/1.42 (assume @p335 (forall (@list @t107 @t56 @t128) (= (tptp.image_pname_a @t107 @t496) (tptp.insert_a (tptp.hAPP_pname_a @t107 @t56) @t560)))) % 1.20/1.42 (assume @p336 (forall (@list @t69 @t161 @t13) (=> @t184 (= (tptp.insert_pname (tptp.hAPP_pname_pname @t69 @t161) @t70) @t70)))) % 1.20/1.42 (assume @p337 (forall @t543 (=> @t184 (= (tptp.insert_nat @t433 @t86) @t86)))) % 1.20/1.42 (assume @p338 (forall (@list @t100 @t169 @t10) (=> @t188 (= (tptp.insert_pname (tptp.hAPP_a_pname @t100 @t169) @t101) @t101)))) % 1.20/1.42 (assume @p339 (forall @t544 (=> @t188 (= (tptp.insert_nat @t436 @t89) @t89)))) % 1.20/1.42 (assume @p340 (forall @t545 (=> @t180 (= (tptp.insert_a @t446 @t310) @t310)))) % 1.20/1.42 (assume @p341 (forall @t547 (=> @t184 (= (tptp.insert_a @t450 @t108) @t108)))) % 1.20/1.42 (assume @p342 (forall @t312 (= @t311 (exists (@list @t561) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t561) @t16)) (= @t135 (tptp.image_nat_a @t309 @t561))))))) % 1.20/1.42 (assume @p343 (forall @t327 (= @t326 (exists @t564 (and @t563 (= @t128 (tptp.image_a_pname @t100 @t562))))))) % 1.20/1.42 (assume @p344 (forall @t338 (= @t337 (exists @t564 (and @t563 (= @t142 (tptp.image_a_nat @t88 @t562))))))) % 1.20/1.42 (assume @p345 (forall @t343 (= @t342 (exists (@list @t565) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t565) @t13)) (= @t135 (tptp.image_pname_a @t107 @t565))))))) % 1.20/1.42 (assume @p346 (forall (@list @t100 @t10 @t135) (=> @t139 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t566 @t557))))) % 1.20/1.42 (assume @p347 (forall (@list @t88 @t10 @t135) (=> @t139 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t567 @t558))))) % 1.20/1.42 (assume @p348 (forall (@list @t309 @t16 @t142) (=> @t146 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t568 @t559))))) % 1.20/1.42 (assume @p349 (forall (@list @t107 @t13 @t128) (=> @t132 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t569 @t560))))) % 1.20/1.42 (assume @p350 (forall (@list @t438 @t104 @t16) (=> @t440 (not (forall @t387 (=> (= @t438 @t382) @t570)))))) % 1.20/1.42 (assume @p351 (forall (@list @t443 @t309 @t16) (=> @t445 (not (forall @t387 (=> (= @t443 @t428) @t570)))))) % 1.20/1.42 (assume @p352 (forall (@list @t430 @t85 @t13) (=> @t432 (not (forall @t403 (=> (= @t430 @t427) @t571)))))) % 1.20/1.42 (assume @p353 (forall (@list @t430 @t88 @t10) (=> @t435 (not (forall @t395 (=> (= @t430 @t426) @t572)))))) % 1.20/1.42 (assume @p354 (forall (@list @t443 @t107 @t13) (=> @t448 (not (forall @t403 (=> (= @t443 @t429) @t571)))))) % 1.20/1.42 (assume @p355 (forall (@list @t142 @t16) (=> (forall @t387 (=> @t386 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t385 @t142)))) @t146))) % 1.20/1.42 (assume @p356 (forall (@list @t128 @t13) (=> (forall @t403 (=> @t402 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t401 @t128)))) @t132))) % 1.20/1.42 (assume @p357 (forall (@list @t135 @t10) (=> (forall @t395 (=> @t394 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t393 @t135)))) @t139))) % 1.20/1.42 (assume @p358 (forall (@list @t85 @t142 @t13) (=> (forall @t403 (=> @t402 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat @t427) @t142)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t86) @t142))))) % 1.20/1.42 (assume @p359 (forall (@list @t69 @t128 @t13) (=> (forall @t403 (=> @t402 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname @t398) @t128)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t70) @t128))))) % 1.20/1.42 (assume @p360 (forall (@list @t88 @t142 @t10) (=> (forall @t395 (=> @t394 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat @t426) @t142)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t567 @t142))))) % 1.20/1.42 (assume @p361 (forall (@list @t100 @t128 @t10) (=> (forall @t395 (=> @t394 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname @t390) @t128)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t566 @t128))))) % 1.20/1.42 (assume @p362 (forall (@list @t104 @t128 @t16) (=> (forall @t387 (=> @t386 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname @t382) @t128)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t105) @t128))))) % 1.20/1.42 (assume @p363 (forall (@list @t309 @t135 @t16) (=> (forall @t387 (=> @t386 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t428) @t135)))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t568 @t135))))) % 1.20/1.42 (assume @p364 (forall (@list @t107 @t135 @t13) (=> (forall @t403 (=> @t402 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t429) @t135)))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t569 @t135))))) % 1.20/1.42 (assume @p365 (forall (@list @t573) (tptp.hBOOL (tptp.hAPP_bool_bool @t574 @t573)))) % 1.20/1.42 (assume @p366 (forall (@list @t155) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t575 @t155)))) % 1.20/1.42 (assume @p367 (forall (@list @t152) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t576 @t152)))) % 1.20/1.42 (assume @p368 (forall (@list @t158) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t577 @t158)))) % 1.20/1.42 (assume @p369 (forall (@list @t578) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t578) @t578)))) % 1.20/1.42 (assume @p370 (forall @t582 (= @t581 (exists @t493 (forall @t387 (=> @t580 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t381) @t491)))))))) % 1.20/1.42 (assume @p371 (forall (@list @t2 @t583) (=> (tptp.hBOOL (tptp.wt @t583)) (=> (forall @t403 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t401 tptp.u)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t3 (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call @t397) tptp.bot_bot_fun_a_bool))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t3 (tptp.insert_a (tptp.mgt @t583) tptp.bot_bot_fun_a_bool))))))) % 1.20/1.42 (assume @p372 (forall (@list @t585 @t584) (= @t586 (forall @t403 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_pname_bool @t585 @t397)) (tptp.hAPP_pname_bool @t584 @t397))))))) % 1.20/1.42 (assume @p373 (forall (@list @t375 @t587) (= @t588 (forall @t387 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool @t375 @t381)) (tptp.hAPP_nat_bool @t587 @t381))))))) % 1.20/1.42 (assume @p374 (forall (@list @t590 @t589) (= @t591 (forall @t395 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_a_bool @t590 @t389)) (tptp.hAPP_a_bool @t589 @t389))))))) % 1.20/1.42 (assume @p375 (forall (@list @t161 @t585 @t584) (=> @t586 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_pname_bool @t585 @t161)) (tptp.hAPP_pname_bool @t584 @t161)))))) % 1.20/1.42 (assume @p376 (forall (@list @t165 @t375 @t587) (=> @t588 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool @t375 @t165)) (tptp.hAPP_nat_bool @t587 @t165)))))) % 1.20/1.42 (assume @p377 (forall (@list @t169 @t590 @t589) (=> @t591 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_a_bool @t590 @t169)) (tptp.hAPP_a_bool @t589 @t169)))))) % 1.20/1.42 (assume @p378 (forall @t592 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t464 tptp.bot_bot_fun_nat_bool))))) % 1.20/1.42 (assume @p379 (forall @t593 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t470 tptp.bot_bo844097828e_bool))))) % 1.20/1.42 (assume @p380 (forall @t594 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t476 tptp.bot_bot_fun_a_bool))))) % 1.20/1.42 (assume @p381 (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool tptp.bot_bo1701429464l_bool))) % 1.20/1.42 (assume @p382 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool tptp.bot_bo1649642514l_bool))) % 1.20/1.42 (assume @p383 (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool tptp.bot_bo1389914601l_bool))) % 1.20/1.42 (assume @p384 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a tptp.bot_bot_fun_a_bool))) % 1.20/1.42 (assume @p385 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname tptp.bot_bo844097828e_bool))) % 1.20/1.42 (assume @p386 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat tptp.bot_bot_fun_nat_bool))) % 1.20/1.42 (assume @p387 (forall @t15 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t595 @t13)))) % 1.20/1.42 (assume @p388 (forall @t18 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t596 @t16)))) % 1.20/1.42 (assume @p389 (forall @t12 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t597 @t10)))) % 1.20/1.42 (assume @p390 (forall @t63 (=> @t598 (not @t481)))) % 1.20/1.42 (assume @p391 (forall @t59 (=> @t599 (not @t484)))) % 1.20/1.42 (assume @p392 (forall @t67 (=> @t600 (not @t487)))) % 1.20/1.42 (assume @p393 (forall @t534 (= (= @t214 tptp.bot_bo844097828e_bool) @t601))) % 1.20/1.42 (assume @p394 (forall @t535 (= (= @t199 tptp.bot_bo1701429464l_bool) @t602))) % 1.20/1.42 (assume @p395 (forall @t536 (= (= @t204 tptp.bot_bo1649642514l_bool) @t603))) % 1.20/1.42 (assume @p396 (forall @t537 (= (= @t209 tptp.bot_bo1389914601l_bool) @t604))) % 1.20/1.42 (assume @p397 (forall @t533 (= (= @t194 tptp.bot_bot_fun_a_bool) @t605))) % 1.20/1.42 (assume @p398 (forall @t538 (= (= @t220 tptp.bot_bot_fun_nat_bool) @t606))) % 1.20/1.42 (assume @p399 (forall (@list @t457) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t458 tptp.bot_bot_fun_nat_bool))))) % 1.20/1.42 (assume @p400 (forall (@list @t459) (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t460 tptp.bot_bo844097828e_bool))))) % 1.20/1.42 (assume @p401 (forall (@list @t461) (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t462 tptp.bot_bot_fun_a_bool))))) % 1.20/1.42 (assume @p402 (forall @t534 (= (= tptp.bot_bo844097828e_bool @t214) @t601))) % 1.20/1.42 (assume @p403 (forall @t535 (= (= tptp.bot_bo1701429464l_bool @t199) @t602))) % 1.20/1.42 (assume @p404 (forall @t536 (= (= tptp.bot_bo1649642514l_bool @t204) @t603))) % 1.20/1.42 (assume @p405 (forall @t537 (= (= tptp.bot_bo1389914601l_bool @t209) @t604))) % 1.20/1.42 (assume @p406 (forall @t533 (= (= tptp.bot_bot_fun_a_bool @t194) @t605))) % 1.20/1.42 (assume @p407 (forall @t538 (= (= tptp.bot_bot_fun_nat_bool @t220) @t606))) % 1.20/1.42 (assume @p408 (forall @t18 (= (exists @t387 @t386) (not @t598)))) % 1.20/1.42 (assume @p409 (forall @t15 (= (exists @t403 @t402) @t607))) % 1.20/1.42 (assume @p410 (forall @t12 (= (exists @t395 @t394) (not @t600)))) % 1.20/1.42 (assume @p411 (forall @t18 (= (forall @t387 @t570) @t598))) % 1.20/1.42 (assume @p412 (forall @t15 (= (forall @t403 @t571) @t599))) % 1.20/1.42 (assume @p413 (forall @t12 (= (forall @t395 @t572) @t600))) % 1.20/1.42 (assume @p414 (= tptp.bot_bo844097828e_bool (tptp.collect_pname (tptp.cOMBK_bool_pname tptp.fFalse)))) % 1.20/1.42 (assume @p415 (= tptp.bot_bo1701429464l_bool (tptp.collect_fun_nat_bool (tptp.cOMBK_1994329625t_bool tptp.fFalse)))) % 1.20/1.42 (assume @p416 (= tptp.bot_bo1649642514l_bool (tptp.collec1974731493e_bool (tptp.cOMBK_1857069011e_bool tptp.fFalse)))) % 1.20/1.42 (assume @p417 (= tptp.bot_bo1389914601l_bool (tptp.collect_fun_a_bool (tptp.cOMBK_324466864a_bool tptp.fFalse)))) % 1.20/1.42 (assume @p418 (= tptp.bot_bot_fun_a_bool (tptp.collect_a (tptp.cOMBK_bool_a tptp.fFalse)))) % 1.20/1.42 (assume @p419 (= tptp.bot_bot_fun_nat_bool (tptp.collect_nat (tptp.cOMBK_bool_nat tptp.fFalse)))) % 1.20/1.42 (assume @p420 (forall @t403 (= (tptp.hBOOL (tptp.hAPP_pname_bool tptp.bot_bo844097828e_bool @t397)) @t608))) % 1.20/1.42 (assume @p421 (forall @t387 (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.bot_bot_fun_nat_bool @t381)) @t608))) % 1.20/1.42 (assume @p422 (forall @t395 (= (tptp.hBOOL (tptp.hAPP_a_bool tptp.bot_bot_fun_a_bool @t389)) @t608))) % 1.20/1.42 (assume @p423 (forall (@list @t161) (= (tptp.hBOOL (tptp.hAPP_pname_bool tptp.bot_bo844097828e_bool @t161)) @t608))) % 1.20/1.42 (assume @p424 (forall (@list @t165) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.bot_bot_fun_nat_bool @t165)) @t608))) % 1.20/1.42 (assume @p425 (forall (@list @t169) (= (tptp.hBOOL (tptp.hAPP_a_bool tptp.bot_bot_fun_a_bool @t169)) @t608))) % 1.20/1.42 (assume @p426 (forall @t612 (=> @t611 @t609))) % 1.20/1.42 (assume @p427 (forall @t618 (=> @t617 @t615))) % 1.20/1.42 (assume @p428 (forall @t622 (=> @t621 @t619))) % 1.20/1.42 (assume @p429 (forall @t626 (=> @t625 @t623))) % 1.20/1.42 (assume @p430 (forall (@list @t627) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t627) tptp.bot_bot_nat)) (= @t627 tptp.bot_bot_nat)))) % 1.20/1.42 (assume @p431 (forall @t612 (= @t611 @t609))) % 1.20/1.42 (assume @p432 (forall @t618 (= @t617 @t615))) % 1.20/1.42 (assume @p433 (forall @t622 (= @t621 @t619))) % 1.20/1.42 (assume @p434 (forall @t626 (= @t625 @t623))) % 1.20/1.42 (assume @p435 (forall @t592 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t60) tptp.bot_bot_nat)) (= @t60 tptp.bot_bot_nat)))) % 1.20/1.42 (assume @p436 (forall @t612 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t595 @t50)))) % 1.20/1.42 (assume @p437 (forall @t618 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool tptp.bot_bot_bool) @t613)))) % 1.20/1.42 (assume @p438 (forall @t622 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t596 @t47)))) % 1.20/1.42 (assume @p439 (forall @t626 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t597 @t53)))) % 1.20/1.42 (assume @p440 (forall (@list @t628) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.bot_bot_nat) @t628)))) % 1.20/1.42 (assume @p441 (forall (@list @t56 @t438) (=> (= @t630 @t629) @t472))) % 1.20/1.42 (assume @p442 (forall (@list @t60 @t430) (=> (= @t632 @t631) @t466))) % 1.20/1.42 (assume @p443 (forall (@list @t64 @t443) (=> (= @t634 @t633) @t478))) % 1.20/1.42 (assume @p444 (forall @t637 (=> @t636 @t635))) % 1.20/1.42 (assume @p445 (forall @t640 (=> @t639 @t638))) % 1.20/1.42 (assume @p446 (forall @t643 (=> @t642 @t641))) % 1.20/1.42 (assume @p447 (forall (@list @t56 @t438 @t459 @t644) (= (= (tptp.insert_pname @t56 @t629) (tptp.insert_pname @t459 (tptp.insert_pname @t644 tptp.bot_bo844097828e_bool))) (or (and (= @t56 @t459) (= @t438 @t644)) (and (= @t56 @t644) (= @t438 @t459)))))) % 1.20/1.42 (assume @p448 (forall (@list @t60 @t430 @t457 @t645) (= (= (tptp.insert_nat @t60 @t631) (tptp.insert_nat @t457 (tptp.insert_nat @t645 tptp.bot_bot_fun_nat_bool))) (or (and (= @t60 @t457) (= @t430 @t645)) (and (= @t60 @t645) (= @t430 @t457)))))) % 1.20/1.42 (assume @p449 (forall (@list @t64 @t443 @t461 @t646) (= (= (tptp.insert_a @t64 @t633) (tptp.insert_a @t461 (tptp.insert_a @t646 tptp.bot_bot_fun_a_bool))) (or (and (= @t64 @t461) (= @t443 @t646)) (and (= @t64 @t646) (= @t443 @t461)))))) % 1.20/1.42 (assume @p450 (forall @t637 (= @t636 @t635))) % 1.20/1.42 (assume @p451 (forall @t640 (= @t639 @t638))) % 1.20/1.42 (assume @p452 (forall @t643 (= @t642 @t641))) % 1.20/1.42 (assume @p453 (forall @t59 (not (= @t57 tptp.bot_bo844097828e_bool)))) % 1.20/1.42 (assume @p454 (forall @t63 (not (= @t61 tptp.bot_bot_fun_nat_bool)))) % 1.20/1.42 (assume @p455 (forall @t67 (not (= @t65 tptp.bot_bot_fun_a_bool)))) % 1.20/1.42 (assume @p456 (forall @t59 (not (= tptp.bot_bo844097828e_bool @t57)))) % 1.20/1.42 (assume @p457 (forall @t63 (not (= tptp.bot_bot_fun_nat_bool @t61)))) % 1.20/1.42 (assume @p458 (forall @t67 (not (= tptp.bot_bot_fun_a_bool @t65)))) % 1.20/1.42 (assume @p459 (forall @t18 (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t145 tptp.bot_bot_fun_nat_bool)) @t598))) % 1.20/1.42 (assume @p460 (forall @t15 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 tptp.bot_bo844097828e_bool)) @t599))) % 1.20/1.42 (assume @p461 (forall @t12 (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t138 tptp.bot_bot_fun_a_bool)) @t600))) % 1.20/1.42 (assume @p462 (forall @t109 (= (= @t108 tptp.bot_bot_fun_a_bool) @t599))) % 1.20/1.42 (assume @p463 (forall (@list @t107) (= (tptp.image_pname_a @t107 tptp.bot_bo844097828e_bool) tptp.bot_bot_fun_a_bool))) % 1.20/1.42 (assume @p464 (forall @t109 (= (= tptp.bot_bot_fun_a_bool @t108) @t599))) % 1.20/1.42 (assume @p465 (forall @t650 (and (=> @t648 (= @t647 @t632)) (=> @t649 (= @t647 tptp.bot_bot_fun_nat_bool))))) % 1.20/1.42 (assume @p466 (forall @t654 (and (=> @t652 (= @t651 @t630)) (=> @t653 (= @t651 tptp.bot_bo844097828e_bool))))) % 1.20/1.42 (assume @p467 (forall @t658 (and (=> @t656 (= @t655 @t634)) (=> @t657 (= @t655 tptp.bot_bot_fun_a_bool))))) % 1.20/1.42 (assume @p468 (forall @t663 (and (=> @t660 (= @t659 @t662)) (=> @t661 (= @t659 tptp.bot_bo1701429464l_bool))))) % 1.20/1.42 (assume @p469 (forall @t668 (and (=> @t665 (= @t664 @t667)) (=> @t666 (= @t664 tptp.bot_bo1649642514l_bool))))) % 1.20/1.42 (assume @p470 (forall @t673 (and (=> @t670 (= @t669 @t672)) (=> @t671 (= @t669 tptp.bot_bo1389914601l_bool))))) % 1.20/1.42 (assume @p471 (forall @t650 (and (=> @t648 (= @t675 @t632)) (=> @t649 (= @t675 tptp.bot_bot_fun_nat_bool))))) % 1.20/1.42 (assume @p472 (forall @t654 (and (=> @t652 (= @t677 @t630)) (=> @t653 (= @t677 tptp.bot_bo844097828e_bool))))) % 1.20/1.42 (assume @p473 (forall @t658 (and (=> @t656 (= @t679 @t634)) (=> @t657 (= @t679 tptp.bot_bot_fun_a_bool))))) % 1.20/1.42 (assume @p474 (forall @t663 (and (=> @t660 (= @t681 @t662)) (=> @t661 (= @t681 tptp.bot_bo1701429464l_bool))))) % 1.20/1.42 (assume @p475 (forall @t668 (and (=> @t665 (= @t683 @t667)) (=> @t666 (= @t683 tptp.bot_bo1649642514l_bool))))) % 1.20/1.42 (assume @p476 (forall @t673 (and (=> @t670 (= @t685 @t672)) (=> @t671 (= @t685 tptp.bot_bo1389914601l_bool))))) % 1.20/1.42 (assume @p477 (forall @t592 (= (tptp.collect_nat @t507) @t632))) % 1.20/1.42 (assume @p478 (forall @t593 (= (tptp.collect_pname @t509) @t630))) % 1.20/1.42 (assume @p479 (forall @t594 (= (tptp.collect_a @t511) @t634))) % 1.20/1.42 (assume @p480 (forall @t622 (= (tptp.collect_fun_nat_bool @t501) @t662))) % 1.20/1.42 (assume @p481 (forall @t612 (= (tptp.collec1974731493e_bool @t503) @t667))) % 1.20/1.42 (assume @p482 (forall @t626 (= (tptp.collect_fun_a_bool @t505) @t672))) % 1.20/1.42 (assume @p483 (forall @t592 (= (tptp.collect_nat @t674) @t632))) % 1.20/1.42 (assume @p484 (forall @t593 (= (tptp.collect_pname @t676) @t630))) % 1.20/1.42 (assume @p485 (forall @t594 (= (tptp.collect_a @t678) @t634))) % 1.20/1.42 (assume @p486 (forall @t622 (= (tptp.collect_fun_nat_bool @t680) @t662))) % 1.20/1.42 (assume @p487 (forall @t612 (= (tptp.collec1974731493e_bool @t682) @t667))) % 1.20/1.42 (assume @p488 (forall @t626 (= (tptp.collect_fun_a_bool @t684) @t672))) % 1.20/1.42 (assume @p489 (forall (@list @t16 @t165) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t145 @t686)) (or @t598 (= @t16 @t686))))) % 1.20/1.42 (assume @p490 (forall (@list @t13 @t161) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 @t687)) (or @t599 (= @t13 @t687))))) % 1.20/1.42 (assume @p491 (forall (@list @t10 @t169) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t138 @t688)) (or @t600 (= @t10 @t688))))) % 1.20/1.42 (assume @p492 (forall (@list @t461 @t161 @t13) (=> @t184 @t690))) % 1.20/1.42 (assume @p493 (forall (@list @t461 @t13) (and (=> @t599 (= @t689 tptp.bot_bot_fun_a_bool)) (=> @t607 @t690)))) % 1.20/1.42 (assume @p494 (forall (@list @t691 @t692) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t691) @t692))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t692) @t691))))) % 1.20/1.42 (assume @p495 (forall (@list @t693 @t695 @t573) (=> @t697 (=> (tptp.hBOOL (tptp.hAPP_bool_bool @t694 @t695)) (tptp.hBOOL (tptp.hAPP_bool_bool @t694 @t573)))))) % 1.20/1.42 (assume @p496 (forall (@list @t698 @t700 @t152) (=> @t702 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t699 @t700)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t699 @t152)))))) % 1.20/1.42 (assume @p497 (forall (@list @t703 @t705 @t155) (=> @t707 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t704 @t705)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t704 @t155)))))) % 1.20/1.42 (assume @p498 (forall (@list @t709 @t711 @t708) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t711) @t708)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t710 @t711)) (tptp.hBOOL (tptp.hAPP_nat_bool @t710 @t708)))))) % 1.20/1.42 (assume @p499 (forall (@list @t712 @t714 @t158) (=> @t716 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t713 @t714)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t713 @t158)))))) % 1.20/1.42 (assume @p500 (forall @t719 (=> @t697 (=> @t718 @t717)))) % 1.20/1.42 (assume @p501 (forall @t722 (=> @t702 (=> @t721 @t720)))) % 1.20/1.42 (assume @p502 (forall @t725 (=> @t707 (=> @t724 @t723)))) % 1.20/1.42 (assume @p503 (forall (@list @t726 @t727) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t726) @t727)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t727) @t726)) (= @t727 @t726))))) % 1.20/1.42 (assume @p504 (forall @t730 (=> @t716 (=> @t729 @t728)))) % 1.20/1.42 (assume @p505 (forall (@list @t693 @t573 @t695) (=> @t718 (=> (tptp.hBOOL (tptp.hAPP_bool_bool @t696 @t693)) (tptp.hBOOL (tptp.hAPP_bool_bool @t574 @t693)))))) % 1.20/1.42 (assume @p506 (forall (@list @t698 @t152 @t700) (=> @t721 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t701 @t698)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t576 @t698)))))) % 1.20/1.42 (assume @p507 (forall (@list @t703 @t155 @t705) (=> @t724 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t706 @t703)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t575 @t703)))))) % 1.20/1.42 (assume @p508 (forall (@list @t731 @t732 @t734) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t733 @t734)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t734) @t731)) (tptp.hBOOL (tptp.hAPP_nat_bool @t733 @t731)))))) % 1.20/1.42 (assume @p509 (forall (@list @t712 @t158 @t714) (=> @t729 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t715 @t712)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t577 @t712)))))) % 1.20/1.42 (assume @p510 (forall (@list @t573 @t695) (=> @t718 (=> @t697 @t717)))) % 1.20/1.42 (assume @p511 (forall @t735 (=> @t721 (=> @t702 @t720)))) % 1.20/1.42 (assume @p512 (forall @t736 (=> @t724 (=> @t707 @t723)))) % 1.20/1.42 (assume @p513 (forall (@list @t738 @t737) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t738) @t737)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t737) @t738)) (= @t738 @t737))))) % 1.20/1.42 (assume @p514 (forall @t739 (=> @t729 (=> @t716 @t728)))) % 1.20/1.42 (assume @p515 (forall @t747 (=> (tptp.hBOOL (tptp.hAPP_bool_bool @t746 @t613)) (=> @t745 @t742)))) % 1.20/1.42 (assume @p516 (forall (@list @t748 @t751 @t47) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t753 @t47)) (=> @t752 @t750)))) % 1.20/1.42 (assume @p517 (forall (@list @t754 @t757 @t50) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t759 @t50)) (=> @t758 @t756)))) % 1.20/1.42 (assume @p518 (forall (@list @t761 @t762 @t760) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t762) @t760)) (=> (= @t762 @t761) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t761) @t760)))))) % 1.20/1.42 (assume @p519 (forall (@list @t763 @t766 @t53) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t768 @t53)) (=> @t767 @t765)))) % 1.20/1.42 (assume @p520 (forall (@list @t740 @t613 @t743) (=> (tptp.hBOOL (tptp.hAPP_bool_bool @t616 @t743)) (=> @t745 @t769)))) % 1.20/1.42 (assume @p521 (forall @t771 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t620 @t751)) (=> @t752 @t770)))) % 1.20/1.42 (assume @p522 (forall @t773 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t610 @t757)) (=> @t758 @t772)))) % 1.20/1.42 (assume @p523 (forall (@list @t774 @t775 @t777) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t776 @t777)) (=> (= @t777 @t774) (tptp.hBOOL (tptp.hAPP_nat_bool @t776 @t774)))))) % 1.20/1.42 (assume @p524 (forall @t779 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t624 @t766)) (=> @t767 @t778)))) % 1.20/1.42 (assume @p525 (forall @t747 (=> @t780 (=> (tptp.hBOOL (tptp.hAPP_bool_bool @t741 @t743)) @t742)))) % 1.20/1.42 (assume @p526 (forall @t771 (=> @t781 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t749 @t751)) @t750)))) % 1.20/1.42 (assume @p527 (forall @t773 (=> @t782 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t755 @t757)) @t756)))) % 1.20/1.42 (assume @p528 (forall (@list @t784 @t783 @t786) (=> (= @t783 @t786) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t785 @t786)) (tptp.hBOOL (tptp.hAPP_nat_bool @t785 @t783)))))) % 1.20/1.42 (assume @p529 (forall @t779 (=> @t787 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t764 @t766)) @t765)))) % 1.20/1.42 (assume @p530 (forall @t747 (=> @t780 (=> (tptp.hBOOL (tptp.hAPP_bool_bool @t746 @t740)) @t769)))) % 1.20/1.42 (assume @p531 (forall @t771 (=> @t781 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t753 @t748)) @t770)))) % 1.20/1.42 (assume @p532 (forall @t773 (=> @t782 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t759 @t754)) @t772)))) % 1.20/1.42 (assume @p533 (forall (@list @t788 @t789 @t790) (=> (= @t789 @t790) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t790) @t788)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t789) @t788)))))) % 1.20/1.42 (assume @p534 (forall @t779 (=> @t787 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t768 @t763)) @t778)))) % 1.20/1.42 (assume @p535 (forall @t719 (=> @t697 (= @t718 @t717)))) % 1.20/1.42 (assume @p536 (forall @t722 (=> @t702 (= @t721 @t720)))) % 1.20/1.42 (assume @p537 (forall @t725 (=> @t707 (= @t724 @t723)))) % 1.20/1.42 (assume @p538 (forall (@list @t514 @t165) (=> @t793 (= @t792 @t791)))) % 1.20/1.42 (assume @p539 (forall @t730 (=> @t716 (= @t729 @t728)))) % 1.20/1.42 (assume @p540 (forall @t719 (=> @t717 @t718))) % 1.20/1.42 (assume @p541 (forall @t735 (=> @t720 @t721))) % 1.20/1.42 (assume @p542 (forall @t736 (=> @t723 @t724))) % 1.20/1.42 (assume @p543 (forall (@list @t795 @t794) (=> (= @t795 @t794) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t795) @t794))))) % 1.20/1.42 (assume @p544 (forall @t739 (=> @t728 @t729))) % 1.20/1.42 (assume @p545 (forall @t719 (= @t717 (and @t718 @t697)))) % 1.20/1.42 (assume @p546 (forall @t735 (= @t720 (and @t721 @t702)))) % 1.20/1.42 (assume @p547 (forall @t736 (= @t723 (and @t724 @t707)))) % 1.20/1.42 (assume @p548 (forall (@list @t165 @t514) (= @t791 (and @t792 @t793)))) % 1.20/1.42 (assume @p549 (forall @t739 (= @t728 (and @t729 @t716)))) % 1.20/1.42 (assume @p550 (forall (@list @t796 @t797) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t796) @t797)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t797) @t796))))) % 1.20/1.42 (assume @p551 (forall (@list @t197 @t16 @t24) (=> @t26 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t24) @t16)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t197 tptp.bot_bot_fun_nat_bool)) (=> (forall (@list @t799 @t798) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t798)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t800 @t16)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t800 @t798))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t197 @t798)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t197 (tptp.insert_nat @t799 @t798)))))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t197 @t24)))))))) % 1.20/1.42 (assume @p552 (forall (@list @t202 @t13 @t19) (=> @t21 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t19) @t13)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t202 tptp.bot_bo844097828e_bool)) (=> (forall (@list @t802 @t801) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t801)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t803 @t13)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t803 @t801))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t202 @t801)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t202 (tptp.insert_pname @t802 @t801)))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t202 @t19)))))))) % 1.20/1.42 (assume @p553 (forall (@list @t207 @t10 @t30) (=> @t32 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t30) @t10)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t207 tptp.bot_bot_fun_a_bool)) (=> (forall (@list @t805 @t804) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t804)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t806 @t10)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t806 @t804))) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t207 @t804)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t207 (tptp.insert_a @t805 @t804)))))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t207 @t30)))))))) % 1.20/1.42 (assume @p554 (forall (@list @t807 @t4 @t33) (=> @t35 (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool @t33) @t4)) (=> @t814 (=> (forall (@list @t810 @t809) (=> @t813 (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t812 @t4)) (=> (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t812 @t809))) (=> @t811 (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t807 (tptp.insert_fun_nat_bool @t810 @t809)))))))) @t808)))))) % 1.20/1.42 (assume @p555 (forall (@list @t815 @t6 @t36) (=> @t38 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool @t36) @t6)) (=> @t822 (=> (forall (@list @t818 @t817) (=> @t821 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t820 @t6)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t820 @t817))) (=> @t819 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t815 (tptp.insert1325755072e_bool @t818 @t817)))))))) @t816)))))) % 1.20/1.42 (assume @p556 (forall (@list @t823 @t8 @t39) (=> @t41 (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool @t39) @t8)) (=> @t830 (=> (forall (@list @t826 @t825) (=> @t829 (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t828 @t8)) (=> (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t828 @t825))) (=> @t827 (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t823 (tptp.insert_fun_a_bool @t826 @t825)))))))) @t824)))))) % 1.20/1.42 (assume @p557 (forall (@list @t831 @t2) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.p (tptp.insert_a @t832 @t2)) (tptp.insert_a (tptp.mgt @t833) tptp.bot_bot_fun_a_bool))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t3 (tptp.insert_a @t832 tptp.bot_bot_fun_a_bool)))))) % 1.20/1.42 (assume @p558 (forall (@list @t807 @t33) (=> @t35 (=> @t814 (=> (forall (@list @t405 @t809) (=> @t813 (=> (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t408 @t809))) (=> @t811 (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t807 (tptp.insert_fun_nat_bool @t405 @t809))))))) @t808))))) % 1.20/1.42 (assume @p559 (forall (@list @t815 @t36) (=> @t38 (=> @t822 (=> (forall (@list @t412 @t817) (=> @t821 (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t415 @t817))) (=> @t819 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t815 (tptp.insert1325755072e_bool @t412 @t817))))))) @t816))))) % 1.20/1.42 (assume @p560 (forall (@list @t823 @t39) (=> @t41 (=> @t830 (=> (forall (@list @t419 @t825) (=> @t829 (=> (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t422 @t825))) (=> @t827 (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t823 (tptp.insert_fun_a_bool @t419 @t825))))))) @t824))))) % 1.20/1.42 (assume @p561 (forall (@list @t834 @t323) (=> (forall @t379 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t377) @t380))) (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 @t323)) @t834))))))) % 1.20/1.42 (assume @p562 (forall (@list @t831) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname @t831) tptp.u)) (tptp.hBOOL (tptp.wt @t833))))) % 1.20/1.42 (assume @p563 (forall @t249 (= (tptp.hAPP_nat_nat @t224 @t244) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat @t224 tptp.one_one_nat)) @t222)))) % 1.20/1.42 (assume @p564 (forall @t245 (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t244) tptp.one_one_nat) @t222))) % 1.20/1.42 (assume @p565 (forall @t268 (= @t835 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.nat_case_bool tptp.fFalse @t266) @t235))))) % 1.20/1.42 (assume @p566 (forall @t249 (= @t839 @t838))) % 1.20/1.42 (assume @p567 (forall @t249 (= @t840 @t838))) % 1.20/1.42 (assume @p568 (forall @t249 (= @t840 @t839))) % 1.20/1.42 (assume @p569 (forall (@list @t261 @t232 @t235) (= (= @t842 (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t235) @t232)) @t282))) % 1.20/1.42 (assume @p570 (forall @t846 (= (= @t845 @t844) @t282))) % 1.20/1.42 (assume @p571 (forall @t271 (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t837) @t250) (tptp.hAPP_nat_nat @t836 @t848)))) % 1.20/1.42 (assume @p572 (forall (@list @t239 @t238 @t849) (= (tptp.hAPP_nat_nat @t850 @t852) (tptp.hAPP_nat_nat @t851 (tptp.hAPP_nat_nat @t850 @t849))))) % 1.20/1.42 (assume @p573 (forall @t249 (= @t837 @t853))) % 1.20/1.42 (assume @p574 (forall @t249 (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t837) @t222) @t223))) % 1.20/1.42 (assume @p575 (forall @t231 (= (tptp.hAPP_nat_nat @t854 @t222) @t223))) % 1.20/1.42 (assume @p576 (forall @t258 (= @t257 (tptp.hAPP_nat_nat @t256 @t856)))) % 1.20/1.42 (assume @p577 (forall (@list @t250 @t223 @t222) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t859) @t858) @t225))) % 1.20/1.42 (assume @p578 (forall @t862 (= (tptp.hAPP_nat_nat @t861 @t848) @t225))) % 1.20/1.42 (assume @p579 (forall @t231 (tptp.hBOOL (tptp.hAPP_nat_bool @t229 @t837)))) % 1.20/1.42 (assume @p580 (forall @t231 (tptp.hBOOL (tptp.hAPP_nat_bool @t229 @t853)))) % 1.20/1.42 (assume @p581 (forall @t268 (= @t267 (exists @t865 (= @t235 @t864))))) % 1.20/1.42 (assume @p582 (forall @t846 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t845) @t844)) @t267))) % 1.20/1.42 (assume @p583 (forall @t867 (=> @t254 (tptp.hBOOL (tptp.hAPP_nat_bool @t252 @t866))))) % 1.20/1.42 (assume @p584 (forall @t867 (=> @t254 (tptp.hBOOL (tptp.hAPP_nat_bool @t252 @t868))))) % 1.20/1.42 (assume @p585 (forall @t255 (=> @t254 (tptp.hBOOL (tptp.hAPP_nat_bool @t871 @t856))))) % 1.20/1.42 (assume @p586 (forall @t873 (=> @t254 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t280 @t283)) (tptp.hBOOL (tptp.hAPP_nat_bool @t871 @t872)))))) % 1.20/1.42 (assume @p587 (forall @t862 (=> @t874 @t281))) % 1.20/1.42 (assume @p588 (forall @t862 (=> @t874 @t248))) % 1.20/1.42 (assume @p589 (forall @t862 (=> @t874 (not (=> @t248 (not @t281)))))) % 1.20/1.42 (assume @p590 (forall @t881 (=> @t880 (= @t879 @t877)))) % 1.20/1.42 (assume @p591 (forall @t881 (=> @t880 (= @t877 @t879)))) % 1.20/1.42 (assume @p592 (forall @t881 (=> @t880 (= @t884 @t882)))) % 1.20/1.42 (assume @p593 (forall (@list @t232 @t490 @t885) (=> @t888 (= (= (tptp.hAPP_nat_nat @t886 @t490) @t232) (= @t885 (tptp.hAPP_nat_nat @t843 @t490)))))) % 1.20/1.42 (assume @p594 (forall @t231 (=> @t230 (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t225) @t222) @t223)))) % 1.20/1.42 (assume @p595 (forall (@list @t490 @t232 @t885) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t275 @t885)) (= (tptp.hBOOL (tptp.hAPP_nat_bool @t887 @t890)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t889) @t885)))))) % 1.20/1.42 (assume @p596 (forall @t881 (=> @t880 (= @t882 @t884)))) % 1.20/1.42 (assume @p597 (forall @t231 (=> @t230 @t891))) % 1.20/1.42 (assume @p598 (forall @t862 (=> @t281 (tptp.hBOOL (tptp.hAPP_nat_bool @t247 (tptp.hAPP_nat_nat @t854 @t250)))))) % 1.20/1.42 (assume @p599 (forall (@list @t885 @t232 @t490) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t890) @t490)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t885) @t889))))) % 1.20/1.42 (assume @p600 (forall @t881 (=> @t880 (= (tptp.hAPP_nat_nat @t256 @t876) (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t870) @t253))))) % 1.20/1.42 (assume @p601 (forall @t245 (= @t244 (tptp.hAPP_nat_nat @t847 tptp.one_one_nat)))) % 1.20/1.42 (assume @p602 (forall @t245 (= @t244 (tptp.hAPP_nat_nat (tptp.plus_plus_nat tptp.one_one_nat) @t222)))) % 1.20/1.42 (assume @p603 (forall @t894 (=> @t880 (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t893) @t223) (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t892) @t859))))) % 1.20/1.42 (assume @p604 (forall @t894 (=> @t880 (= (tptp.hAPP_nat_nat @t224 @t893) (tptp.hAPP_nat_nat @t861 @t892))))) % 1.20/1.42 (assume @p605 (forall @t898 (=> @t897 @t896))) % 1.20/1.42 (assume @p606 (forall @t899 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t895 @t849)) @t896))) % 1.20/1.42 (assume @p607 (forall @t245 (tptp.hBOOL (tptp.hAPP_nat_bool @t900 @t244)))) % 1.20/1.42 (assume @p608 (forall @t249 (=> @t904 @t902))) % 1.20/1.42 (assume @p609 (forall @t234 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool @t905 @t232)))))) % 1.20/1.42 (assume @p610 (forall @t898 (=> @t908 @t907))) % 1.20/1.42 (assume @p611 (forall @t899 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t906 @t849)) @t907))) % 1.20/1.42 (assume @p612 (forall @t258 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t911 @t250)) @t910))) % 1.20/1.42 (assume @p613 (forall (@list @t223 @t222 @t250 @t283) (=> @t912 (=> (= (tptp.hAPP_nat_nat @t836 @t283) @t858) @t904)))) % 1.20/1.42 (assume @p614 (forall @t873 (=> @t914 (=> @t912 (tptp.hBOOL (tptp.hAPP_nat_bool @t913 @t872)))))) % 1.20/1.42 (assume @p615 (forall @t255 (=> @t914 (tptp.hBOOL (tptp.hAPP_nat_bool @t913 @t856))))) % 1.20/1.42 (assume @p616 (forall @t867 (=> @t914 (tptp.hBOOL (tptp.hAPP_nat_bool @t909 @t868))))) % 1.20/1.42 (assume @p617 (forall @t867 (=> @t914 (tptp.hBOOL (tptp.hAPP_nat_bool @t909 @t866))))) % 1.20/1.42 (assume @p618 (forall @t846 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t845) @t844)) @t916))) % 1.20/1.42 (assume @p619 (forall (@list @t253 @t251) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t878) @t251))))) % 1.20/1.42 (assume @p620 (forall (@list @t251 @t253) (not (tptp.hBOOL (tptp.hAPP_nat_bool @t911 @t251))))) % 1.20/1.42 (assume @p621 (forall @t249 (=> @t902 @t904))) % 1.20/1.42 (assume @p622 (forall @t249 (=> @t917 @t904))) % 1.20/1.42 (assume @p623 (forall @t249 (=> @t919 (=> @t918 @t246)))) % 1.20/1.42 (assume @p624 (forall @t255 (=> @t914 (=> @t922 @t921)))) % 1.20/1.42 (assume @p625 (forall @t249 (=> @t904 (=> (not (= @t226 @t222)) @t917)))) % 1.20/1.42 (assume @p626 (forall @t249 (=> @t904 @t919))) % 1.20/1.42 (assume @p627 (forall @t231 (=> (not @t923) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t900 @t226)) @t246)))) % 1.20/1.42 (assume @p628 (forall @t265 (=> (not @t927) @t926))) % 1.20/1.42 (assume @p629 (forall @t268 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t263) @t236)) @t916))) % 1.20/1.42 (assume @p630 (forall @t268 (= @t929 @t928))) % 1.20/1.42 (assume @p631 (forall @t268 (= (not @t916) @t925))) % 1.20/1.42 (assume @p632 (forall @t249 (=> (or @t904 @t246) @t248))) % 1.20/1.42 (assume @p633 (forall @t249 (=> @t248 (=> @t930 @t904)))) % 1.20/1.42 (assume @p634 (forall @t249 (=> @t904 @t248))) % 1.20/1.42 (assume @p635 (forall @t268 (= @t267 @t928))) % 1.20/1.42 (assume @p636 (forall @t268 (= @t916 (and @t267 @t931)))) % 1.20/1.42 (assume @p637 (forall @t284 (=> @t904 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t903 @t283)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t287) @t286)))))) % 1.20/1.42 (assume @p638 (forall (@list @t222 @t253 @t250) (=> @t922 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t875 @t222)) @t250))))) % 1.20/1.42 (assume @p639 (forall @t241 (=> @t908 @t897))) % 1.20/1.42 (assume @p640 (forall @t245 (not (tptp.hBOOL (tptp.hAPP_nat_bool @t900 @t222))))) % 1.20/1.42 (assume @p641 (forall @t268 (= @t931 (or @t916 @t927)))) % 1.20/1.42 (assume @p642 (forall @t241 (=> @t932 (=> (not @t908) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t238) @t239)))))) % 1.20/1.42 (assume @p643 (forall @t231 (=> @t923 @t930))) % 1.20/1.42 (assume @p644 (forall (@list @t934 @t933) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t934) @t933)) (not (= @t934 @t933))))) % 1.20/1.42 (assume @p645 (forall (@list @t935 @t261 @t235) (=> (=> @t916 @t936) (=> (=> @t282 @t936) (=> (=> @t927 @t936) @t936))))) % 1.20/1.42 (assume @p646 (forall @t582 (= @t581 (exists @t493 (forall @t387 (=> @t580 (tptp.hBOOL (tptp.hAPP_nat_bool @t937 @t491)))))))) % 1.20/1.42 (assume @p647 (forall @t237 (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool @t905 @t235))) @t235))) % 1.20/1.42 (assume @p648 (forall (@list @t217 @t490) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t218 (tptp.hAPP_n1699378549t_bool @t905 @t490))))))) % 1.20/1.42 (assume @p649 (forall @t938 (tptp.hBOOL (tptp.hAPP_nat_bool @t909 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat @t869 @t223)))))) % 1.20/1.42 (assume @p650 (forall @t938 (tptp.hBOOL (tptp.hAPP_nat_bool @t909 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat @t836 @t251)))))) % 1.20/1.42 (assume @p651 (forall @t268 (= @t916 (exists @t865 (= @t235 (tptp.hAPP_nat_nat tptp.suc @t864)))))) % 1.20/1.42 (assume @p652 (forall @t265 (= @t927 @t269))) % 1.20/1.42 (assume @p653 (forall @t268 (= @t929 @t267))) % 1.20/1.42 (assume @p654 (forall @t268 (= @t835 @t916))) % 1.20/1.42 (assume @p655 (forall @t249 (=> @t248 @t919))) % 1.20/1.42 (assume @p656 (forall @t249 (=> @t904 @t259))) % 1.20/1.42 (assume @p657 (forall @t268 (=> @t267 @t926))) % 1.20/1.42 (assume @p658 (forall @t249 (=> @t259 @t904))) % 1.20/1.42 (assume @p659 (forall @t249 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t225) @t226)))) % 1.20/1.42 (assume @p660 (forall @t249 (=> @t918 @t891))) % 1.20/1.42 (assume @p661 (forall (@list @t490 @t885 @t232) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t490) @t890)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t889) @t885))))) % 1.20/1.42 (assume @p662 (forall (@list @t939 @t941 @t940) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t941) @t940)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t939) @t941)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t941) @t939)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t940) @t939))))))) % 1.20/1.42 (assume @p663 (forall @t278 (=> @t277 (=> @t276 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t274) @t272)) @t916))))) % 1.20/1.42 (assume @p664 (forall @t387 (= @t937 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc @t381))))) % 1.20/1.42 (assume @p665 (forall (@list @t261 @t232 @t323) (=> (forall (@list @t491 @t377) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t491) @t377)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t323 @t491)) @t380)))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat @t323 @t261)) @t232)) (tptp.hAPP_nat_nat @t323 @t842)))))) % 1.20/1.42 (assume @p666 (forall (@list @t217 @t490 @t885) (=> @t888 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t217 @t885)) (=> (forall (@list @t942) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t943 @t885)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t217 (tptp.hAPP_nat_nat tptp.suc @t942))) (tptp.hBOOL (tptp.hAPP_nat_bool @t217 @t942))))) (tptp.hBOOL (tptp.hAPP_nat_bool @t217 @t490))))))) % 1.20/1.42 (assume @p667 (forall @t249 (=> @t904 (exists @t865 (= @t222 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat @t836 @t863))))))) % 1.20/1.42 (assume @p668 (forall (@list @t235 @t579) (=> (forall @t387 (=> @t580 (tptp.hBOOL (tptp.hAPP_nat_bool @t937 @t235)))) @t581))) % 1.20/1.42 (assume @p669 (forall (@list @t490 @t885 @t323) (=> (forall (@list @t942 @t944) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t943 @t944)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t323 @t942)) (tptp.hAPP_nat_nat @t323 @t944))))) (=> @t888 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t323 @t490)) (tptp.hAPP_nat_nat @t323 @t885))))))) % 1.20/1.42 (assume @p670 (forall @t946 (=> @t921 @t945))) % 1.20/1.42 (assume @p671 (forall @t946 (=> @t910 (=> (not (= @t250 @t920)) @t945)))) % 1.20/1.42 (assume @p672 (forall @t245 (not (tptp.hBOOL (tptp.hAPP_nat_bool @t900 tptp.zero_zero_nat))))) % 1.20/1.42 (assume @p673 (forall @t245 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) @t222)))) % 1.20/1.42 (assume @p674 (forall @t245 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) @t244)))) % 1.20/1.42 (assume @p675 (forall @t268 (= (= @t950 @t947) @t949))) % 1.20/1.42 (assume @p676 (forall @t268 (= (= @t947 @t950) @t949))) % 1.20/1.42 (assume @p677 (forall @t231 (= (tptp.hAPP_nat_nat @t279 @t853) tptp.zero_zero_nat))) % 1.20/1.42 (assume @p678 (forall @t249 (=> @t248 @t951))) % 1.20/1.42 (assume @p679 (forall @t268 (= (= (tptp.hAPP_nat_nat @t273 @t235) tptp.zero_zero_nat) @t267))) % 1.20/1.42 (assume @p680 (= tptp.one_one_nat @t947)) % 1.20/1.42 (assume @p681 (forall @t249 (=> @t951 (=> (= (tptp.hAPP_nat_nat @t279 @t223) tptp.zero_zero_nat) @t246)))) % 1.20/1.42 (assume @p682 (forall @t952 (= (tptp.hAPP_nat_nat @t224 @t223) tptp.zero_zero_nat))) % 1.20/1.42 (assume @p683 (forall @t952 (= (tptp.hAPP_nat_nat @t224 tptp.zero_zero_nat) @t223))) % 1.20/1.42 (assume @p684 (forall @t245 (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat tptp.zero_zero_nat) @t222) tptp.zero_zero_nat))) % 1.20/1.42 (assume @p685 (forall @t952 (not (= @t226 tptp.zero_zero_nat)))) % 1.20/1.42 (assume @p686 (forall @t952 (not (= tptp.zero_zero_nat @t226)))) % 1.20/1.42 (assume @p687 (forall (@list @t953) (not (= (tptp.hAPP_nat_nat tptp.suc @t953) tptp.zero_zero_nat)))) % 1.20/1.42 (assume @p688 (forall (@list @t954) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc @t954))))) % 1.20/1.42 (assume @p689 (= tptp.bot_bot_nat tptp.zero_zero_nat)) % 1.20/1.42 (assume @p690 (forall @t237 (= (tptp.hBOOL (tptp.hAPP_nat_bool @t262 tptp.zero_zero_nat)) @t948))) % 1.20/1.42 (assume @p691 (forall @t959 (or (not @t958) @t957))) % 1.20/1.42 (assume @p692 (forall @t959 (or @t956 @t958))) % 1.20/1.42 (assume @p693 (forall @t964 (or @t957 @t963 @t961))) % 1.20/1.42 (assume @p694 (forall @t966 (or @t965 @t956))) % 1.20/1.42 (assume @p695 (forall @t966 (or @t965 @t962))) % 1.20/1.42 (assume @p696 (forall @t964 (or @t957 @t967))) % 1.20/1.42 (assume @p697 (forall @t966 (or @t963 @t967))) % 1.20/1.42 (assume @p698 (forall @t966 (or (not @t967) @t956 @t962))) % 1.20/1.42 (assume @p699 (not (tptp.hBOOL tptp.fFalse))) % 1.20/1.42 (assume @p700 (forall @t959 (or (= @t955 tptp.fTrue) (= @t955 tptp.fFalse)))) % 1.20/1.42 (assume @p701 (forall @t964 (or @t956 @t968))) % 1.20/1.42 (assume @p702 (forall @t966 (or @t963 @t968))) % 1.20/1.42 (assume @p703 (forall @t966 (or (not @t968) @t957 @t962))) % 1.20/1.42 (assume @p704 (forall @t973 (or (not @t972) @t971))) % 1.20/1.42 (assume @p705 (forall @t973 (or (not @t971) @t972))) % 1.20/1.42 (assume @p706 (forall @t241 (or (not @t974) @t240))) % 1.20/1.42 (assume @p707 (forall @t241 (or @t932 @t974))) % 1.20/1.42 (assume @p708 (forall @t979 (or (not @t978) @t977))) % 1.20/1.42 (assume @p709 (forall @t979 (or (not @t977) @t978))) % 1.20/1.42 (assume @p710 (forall (@list @t955 @t980) (= (tptp.hAPP_a_bool (tptp.cOMBK_bool_a @t955) @t980) @t955))) % 1.20/1.42 (assume @p711 (forall (@list @t981 @t982) (= (tptp.hAPP_pname_a (tptp.cOMBK_a_pname @t981) @t982) @t981))) % 1.20/1.42 (assume @p712 (forall (@list @t984 @t980 @t983) (= (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool @t984) @t980) @t983) (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool @t984 @t983) @t980)))) % 1.20/1.42 (assume @p713 (forall (@list @t955 @t985) (= (tptp.hAPP_nat_bool (tptp.cOMBK_bool_nat @t955) @t985) @t955))) % 1.20/1.42 (assume @p714 (forall @t990 (or (not @t989) @t988))) % 1.20/1.42 (assume @p715 (forall @t990 (or (not @t988) @t989))) % 1.20/1.42 (assume @p716 (forall (@list @t955 @t982) (= (tptp.hAPP_pname_bool (tptp.cOMBK_bool_pname @t955) @t982) @t955))) % 1.20/1.42 (assume @p717 (forall (@list @t991 @t985 @t983) (= (tptp.hAPP_a_bool (tptp.hAPP_nat_fun_a_bool (tptp.cOMBC_a_nat_bool @t991) @t985) @t983) (tptp.hAPP_nat_bool (tptp.hAPP_a_fun_nat_bool @t991 @t983) @t985)))) % 1.20/1.42 (assume @p718 (forall (@list @t993 @t980 @t992) (= (tptp.hAPP_nat_bool (tptp.hAPP_a_fun_nat_bool (tptp.cOMBC_nat_a_bool @t993) @t980) @t992) (tptp.hAPP_a_bool (tptp.hAPP_nat_fun_a_bool @t993 @t992) @t980)))) % 1.20/1.42 (assume @p719 (forall (@list @t996 @t994 @t983) (= (tptp.hAPP_a_bool (tptp.cOMBB_bool_bool_a @t996 @t994) @t983) (tptp.hAPP_bool_bool @t996 @t995)))) % 1.20/1.42 (assume @p720 (forall (@list @t997 @t994 @t983) (= (tptp.hAPP_a_bool (tptp.cOMBS_a_bool_bool @t997 @t994) @t983) (tptp.hAPP_bool_bool (tptp.hAPP_a_fun_bool_bool @t997 @t983) @t995)))) % 1.20/1.42 (assume @p721 (forall (@list @t998 @t982 @t983) (= (tptp.hAPP_a_bool (tptp.hAPP_p1534023578a_bool (tptp.cOMBC_a_pname_bool @t998) @t982) @t983) (tptp.hAPP_pname_bool (tptp.hAPP_a93125764e_bool @t998 @t983) @t982)))) % 1.20/1.42 (assume @p722 (forall (@list @t1000 @t980 @t999) (= (tptp.hAPP_pname_bool (tptp.hAPP_a93125764e_bool (tptp.cOMBC_pname_a_bool @t1000) @t980) @t999) (tptp.hAPP_a_bool (tptp.hAPP_p1534023578a_bool @t1000 @t999) @t980)))) % 1.20/1.42 (assume @p723 (forall @t1005 (or (not @t1004) @t1003))) % 1.20/1.42 (assume @p724 (forall @t1005 (or (not @t1003) @t1004))) % 1.20/1.42 (assume @p725 (forall @t1010 (or (not @t1009) @t1008))) % 1.20/1.42 (assume @p726 (forall @t1010 (or (not @t1008) @t1009))) % 1.20/1.42 (assume @p727 (forall (@list @t984 @t1011 @t983) (= (tptp.hAPP_a_fun_a_bool (tptp.cOMBB_a_fun_a_bool_a @t984 @t1011) @t983) (tptp.hAPP_a_fun_a_bool @t984 (tptp.hAPP_a_a @t1011 @t983))))) % 1.20/1.42 (assume @p728 (forall (@list @t1012 @t985 @t992) (= (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool @t1012) @t985) @t992) (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool @t1012 @t992) @t985)))) % 1.20/1.42 (assume @p729 (forall (@list @t996 @t1013 @t992) (= (tptp.hAPP_nat_bool (tptp.cOMBB_bool_bool_nat @t996 @t1013) @t992) (tptp.hAPP_bool_bool @t996 @t1014)))) % 1.20/1.42 (assume @p730 (forall (@list @t955 @t994) (= (tptp.hAPP_fun_a_bool_bool (tptp.cOMBK_324466864a_bool @t955) @t994) @t955))) % 1.20/1.42 (assume @p731 (forall (@list @t1015 @t1013 @t992) (= (tptp.hAPP_nat_bool (tptp.cOMBS_nat_bool_bool @t1015 @t1013) @t992) (tptp.hAPP_bool_bool (tptp.hAPP_n1006566506l_bool @t1015 @t992) @t1014)))) % 1.20/1.42 (assume @p732 (forall (@list @t1016 @t985 @t999) (= (tptp.hAPP_pname_bool (tptp.hAPP_n1025906991e_bool (tptp.cOMBC_pname_nat_bool @t1016) @t985) @t999) (tptp.hAPP_nat_bool (tptp.hAPP_p1499970991t_bool @t1016 @t999) @t985)))) % 1.20/1.42 (assume @p733 (forall (@list @t1017 @t982 @t992) (= (tptp.hAPP_nat_bool (tptp.hAPP_p1499970991t_bool (tptp.cOMBC_nat_pname_bool @t1017) @t982) @t992) (tptp.hAPP_pname_bool (tptp.hAPP_n1025906991e_bool @t1017 @t992) @t982)))) % 1.20/1.42 (assume @p734 (forall (@list @t996 @t1018 @t999) (= (tptp.hAPP_pname_bool (tptp.cOMBB_647938656_pname @t996 @t1018) @t999) (tptp.hAPP_bool_bool @t996 @t1019)))) % 1.20/1.42 (assume @p735 (forall (@list @t1020 @t1018 @t999) (= (tptp.hAPP_pname_bool (tptp.cOMBS_568398431l_bool @t1020 @t1018) @t999) (tptp.hAPP_bool_bool (tptp.hAPP_p393069232l_bool @t1020 @t999) @t1019)))) % 1.20/1.42 (assume @p736 (forall (@list @t1021 @t982 @t999) (= (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool @t1021) @t982) @t999) (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool @t1021 @t999) @t982)))) % 1.20/1.42 (assume @p737 (forall (@list @t984 @t1022 @t992) (= (tptp.hAPP_nat_fun_a_bool (tptp.cOMBB_1885489796ol_nat @t984 @t1022) @t992) (tptp.hAPP_a_fun_a_bool @t984 (tptp.hAPP_nat_a @t1022 @t992))))) % 1.20/1.42 (assume @p738 (forall (@list @t1023 @t994 @t983) (= (tptp.hAPP_a_bool (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool @t1023) @t994) @t983) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool @t1023 @t983) @t994)))) % 1.20/1.42 (assume @p739 (forall (@list @t984 @t1024 @t999) (= (tptp.hAPP_p1534023578a_bool (tptp.cOMBB_1897541054_pname @t984 @t1024) @t999) (tptp.hAPP_a_fun_a_bool @t984 (tptp.hAPP_pname_a @t1024 @t999))))) % 1.20/1.42 (assume @p740 (forall (@list @t955 @t1013) (= (tptp.hAPP_f54304608l_bool (tptp.cOMBK_1994329625t_bool @t955) @t1013) @t955))) % 1.20/1.42 (assume @p741 (forall (@list @t955 @t1018) (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBK_1857069011e_bool @t955) @t1018) @t955))) % 1.20/1.42 (assume @p742 (forall (@list @t1012 @t1025 @t983) (= (tptp.hAPP_a_fun_nat_bool (tptp.cOMBB_1321347587bool_a @t1012 @t1025) @t983) (tptp.hAPP_n1699378549t_bool @t1012 (tptp.hAPP_a_nat @t1025 @t983))))) % 1.20/1.42 (assume @p743 (forall (@list @t1026 @t1013 @t983) (= (tptp.hAPP_a_bool (tptp.hAPP_f1549043526a_bool (tptp.cOMBC_777206479l_bool @t1026) @t1013) @t983) (tptp.hAPP_f54304608l_bool (tptp.hAPP_a1392362872l_bool @t1026 @t983) @t1013)))) % 1.20/1.42 (assume @p744 (forall (@list @t1027 @t994 @t992) (= (tptp.hAPP_nat_bool (tptp.hAPP_f282463732t_bool (tptp.cOMBC_1928494297l_bool @t1027) @t994) @t992) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_n1414589940l_bool @t1027 @t992) @t994)))) % 1.20/1.42 (assume @p745 (forall (@list @t1029 @t985 @t1028) (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_n1414589940l_bool (tptp.cOMBC_619334683t_bool @t1029) @t985) @t1028) (tptp.hAPP_nat_bool (tptp.hAPP_f282463732t_bool @t1029 @t1028) @t985)))) % 1.20/1.42 (assume @p746 (forall (@list @t996 @t1030 @t1028) (= (tptp.hAPP_fun_a_bool_bool (tptp.cOMBB_2140588453a_bool @t996 @t1030) @t1028) (tptp.hAPP_bool_bool @t996 @t1031)))) % 1.20/1.42 (assume @p747 (forall (@list @t1032 @t994 @t983) (= (tptp.hAPP_a_fun_bool_bool (tptp.cOMBB_1972296269bool_a @t1032 @t994) @t983) (tptp.hAPP_b589554111l_bool @t1032 @t995)))) % 1.20/1.42 (assume @p748 (forall (@list @t1033 @t1030 @t1028) (= (tptp.hAPP_fun_a_bool_bool (tptp.cOMBS_1035972772l_bool @t1033 @t1030) @t1028) (tptp.hAPP_bool_bool (tptp.hAPP_f198738859l_bool @t1033 @t1028) @t1031)))) % 1.20/1.42 (assume @p749 (forall (@list @t1034 @t1018 @t983) (= (tptp.hAPP_a_bool (tptp.hAPP_f1051908748a_bool (tptp.cOMBC_1834145417l_bool @t1034) @t1018) @t983) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_a217006258l_bool @t1034 @t983) @t1018)))) % 1.20/1.42 (assume @p750 (forall (@list @t1035 @t994 @t999) (= (tptp.hAPP_pname_bool (tptp.hAPP_f1794073134e_bool (tptp.cOMBC_445755039l_bool @t1035) @t994) @t999) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_p1824510254l_bool @t1035 @t999) @t994)))) % 1.20/1.42 (assume @p751 (forall (@list @t1036 @t982 @t1028) (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_p1824510254l_bool (tptp.cOMBC_1738168533e_bool @t1036) @t982) @t1028) (tptp.hAPP_pname_bool (tptp.hAPP_f1794073134e_bool @t1036 @t1028) @t982)))) % 1.20/1.42 (assume @p752 (forall (@list @t1021 @t1037 @t983) (= (tptp.hAPP_a93125764e_bool (tptp.cOMBB_610033911bool_a @t1021 @t1037) @t983) (tptp.hAPP_p61793385e_bool @t1021 (tptp.hAPP_a_pname @t1037 @t983))))) % 1.20/1.42 (assume @p753 (forall (@list @t1012 @t1038 @t992) (= (tptp.hAPP_n1699378549t_bool (tptp.cOMBB_800536526ol_nat @t1012 @t1038) @t992) (tptp.hAPP_n1699378549t_bool @t1012 (tptp.hAPP_nat_nat @t1038 @t992))))) % 1.20/1.42 (assume @p754 (forall (@list @t1039 @t1013 @t992) (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool @t1039) @t1013) @t992) (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool @t1039 @t992) @t1013)))) % 1.20/1.42 (assume @p755 (forall (@list @t1041 @t985 @t1040) (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool (tptp.cOMBC_385542954t_bool @t1041) @t985) @t1040) (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool @t1041 @t1040) @t985)))) % 1.20/1.42 (assume @p756 (forall (@list @t996 @t1042 @t1040) (= (tptp.hAPP_f54304608l_bool (tptp.cOMBB_238756964t_bool @t996 @t1042) @t1040) (tptp.hAPP_bool_bool @t996 @t1043)))) % 1.20/1.42 (assume @p757 (forall (@list @t1032 @t1013 @t992) (= (tptp.hAPP_n1006566506l_bool (tptp.cOMBB_1015721476ol_nat @t1032 @t1013) @t992) (tptp.hAPP_b589554111l_bool @t1032 @t1014)))) % 1.20/1.42 (assume @p758 (forall (@list @t1012 @t1044 @t999) (= (tptp.hAPP_p1499970991t_bool (tptp.cOMBB_523834888_pname @t1012 @t1044) @t999) (tptp.hAPP_n1699378549t_bool @t1012 (tptp.hAPP_pname_nat @t1044 @t999))))) % 1.20/1.42 (assume @p759 (forall (@list @t1045 @t1042 @t1040) (= (tptp.hAPP_f54304608l_bool (tptp.cOMBS_1187019125l_bool @t1045 @t1042) @t1040) (tptp.hAPP_bool_bool (tptp.hAPP_f1748468828l_bool @t1045 @t1040) @t1043)))) % 1.20/1.42 (assume @p760 (forall (@list @t1046 @t1013 @t999) (= (tptp.hAPP_pname_bool (tptp.hAPP_f654413245e_bool (tptp.cOMBC_267053842l_bool @t1046) @t1013) @t999) (tptp.hAPP_f54304608l_bool (tptp.hAPP_p130839763l_bool @t1046 @t999) @t1013)))) % 1.20/1.42 (assume @p761 (forall (@list @t1047 @t1018 @t992) (= (tptp.hAPP_nat_bool (tptp.hAPP_f1066163005t_bool (tptp.cOMBC_386238098l_bool @t1047) @t1018) @t992) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_n850744903l_bool @t1047 @t992) @t1018)))) % 1.20/1.42 (assume @p762 (forall (@list @t1049 @t985 @t1048) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_n850744903l_bool (tptp.cOMBC_1666426608t_bool @t1049) @t985) @t1048) (tptp.hAPP_nat_bool (tptp.hAPP_f1066163005t_bool @t1049 @t1048) @t985)))) % 1.20/1.42 (assume @p763 (forall (@list @t1050 @t982 @t1040) (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_p130839763l_bool (tptp.cOMBC_615407716e_bool @t1050) @t982) @t1040) (tptp.hAPP_pname_bool (tptp.hAPP_f654413245e_bool @t1050 @t1040) @t982)))) % 1.20/1.42 (assume @p764 (forall (@list @t1021 @t1051 @t992) (= (tptp.hAPP_n1025906991e_bool (tptp.cOMBB_1212655066ol_nat @t1021 @t1051) @t992) (tptp.hAPP_p61793385e_bool @t1021 (tptp.hAPP_nat_pname @t1051 @t992))))) % 1.20/1.42 (assume @p765 (forall (@list @t996 @t1052 @t1048) (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBB_307249310e_bool @t996 @t1052) @t1048) (tptp.hAPP_bool_bool @t996 @t1053)))) % 1.20/1.42 (assume @p766 (forall (@list @t1032 @t1018 @t999) (= (tptp.hAPP_p393069232l_bool (tptp.cOMBB_675860798_pname @t1032 @t1018) @t999) (tptp.hAPP_b589554111l_bool @t1032 @t1019)))) % 1.20/1.42 (assume @p767 (forall (@list @t1054 @t1052 @t1048) (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBS_350070575l_bool @t1054 @t1052) @t1048) (tptp.hAPP_bool_bool (tptp.hAPP_f1476298914l_bool @t1054 @t1048) @t1053)))) % 1.20/1.42 (assume @p768 (forall (@list @t1055 @t1018 @t999) (= (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool @t1055) @t1018) @t999) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool @t1055 @t999) @t1018)))) % 1.20/1.42 (assume @p769 (forall (@list @t1056 @t982 @t1048) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool (tptp.cOMBC_1004116266e_bool @t1056) @t982) @t1048) (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool @t1056 @t1048) @t982)))) % 1.20/1.42 (assume @p770 (forall (@list @t1021 @t1057 @t999) (= (tptp.hAPP_p61793385e_bool (tptp.cOMBB_542850580_pname @t1021 @t1057) @t999) (tptp.hAPP_p61793385e_bool @t1021 (tptp.hAPP_pname_pname @t1057 @t999))))) % 1.20/1.42 (assume @p771 (forall (@list @t1058 @t994 @t1028) (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool (tptp.cOMBC_1732670874l_bool @t1058) @t994) @t1028) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool @t1058 @t1028) @t994)))) % 1.20/1.42 (assume @p772 (forall (@list @t1012 @t1059 @t1028) (= (tptp.hAPP_f282463732t_bool (tptp.cOMBB_164527437a_bool @t1012 @t1059) @t1028) (tptp.hAPP_n1699378549t_bool @t1012 (tptp.hAPP_fun_a_bool_nat @t1059 @t1028))))) % 1.20/1.42 (assume @p773 (forall (@list @t1032 @t1030 @t1028) (= (tptp.hAPP_f198738859l_bool (tptp.cOMBB_338059395a_bool @t1032 @t1030) @t1028) (tptp.hAPP_b589554111l_bool @t1032 @t1031)))) % 1.20/1.42 (assume @p774 (forall (@list @t1021 @t1060 @t1028) (= (tptp.hAPP_f1794073134e_bool (tptp.cOMBB_1693087065a_bool @t1021 @t1060) @t1028) (tptp.hAPP_p61793385e_bool @t1021 (tptp.hAPP_f1128469712_pname @t1060 @t1028))))) % 1.20/1.42 (assume @p775 (forall (@list @t1012 @t1061 @t1040) (= (tptp.hAPP_f800510211t_bool (tptp.cOMBB_1250273980t_bool @t1012 @t1061) @t1040) (tptp.hAPP_n1699378549t_bool @t1012 (tptp.hAPP_f22106695ol_nat @t1061 @t1040))))) % 1.20/1.42 (assume @p776 (forall (@list @t1058 @t1062 @t983) (= (tptp.hAPP_a85458249l_bool (tptp.cOMBB_472261505bool_a @t1058 @t1062) @t983) (tptp.hAPP_f1631501043l_bool @t1058 (tptp.hAPP_a_fun_a_bool @t1062 @t983))))) % 1.20/1.42 (assume @p777 (forall (@list @t1063 @t1013 @t1040) (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool (tptp.cOMBC_1693257480l_bool @t1063) @t1013) @t1040) (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool @t1063 @t1040) @t1013)))) % 1.20/1.42 (assume @p778 (forall (@list @t1032 @t1042 @t1040) (= (tptp.hAPP_f1748468828l_bool (tptp.cOMBB_444170502t_bool @t1032 @t1042) @t1040) (tptp.hAPP_b589554111l_bool @t1032 @t1043)))) % 1.20/1.42 (assume @p779 (forall (@list @t1012 @t1064 @t1048) (= (tptp.hAPP_f1066163005t_bool (tptp.cOMBB_1896684278e_bool @t1012 @t1064) @t1048) (tptp.hAPP_n1699378549t_bool @t1012 (tptp.hAPP_f921600141ol_nat @t1064 @t1048))))) % 1.20/1.42 (assume @p780 (forall (@list @t1021 @t1065 @t1040) (= (tptp.hAPP_f654413245e_bool (tptp.cOMBB_141086128t_bool @t1021 @t1065) @t1040) (tptp.hAPP_p61793385e_bool @t1021 (tptp.hAPP_f1291551745_pname @t1065 @t1040))))) % 1.20/1.42 (assume @p781 (forall (@list @t1032 @t1052 @t1048) (= (tptp.hAPP_f1476298914l_bool (tptp.cOMBB_2095475776e_bool @t1032 @t1052) @t1048) (tptp.hAPP_b589554111l_bool @t1032 @t1053)))) % 1.20/1.42 (assume @p782 (forall (@list @t1066 @t1018 @t1048) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool @t1066) @t1018) @t1048) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool @t1066 @t1048) @t1018)))) % 1.20/1.42 (assume @p783 (forall (@list @t1021 @t1067 @t1048) (= (tptp.hAPP_f759274231e_bool (tptp.cOMBB_598082538e_bool @t1021 @t1067) @t1048) (tptp.hAPP_p61793385e_bool @t1021 (tptp.hAPP_f1297739591_pname @t1067 @t1048))))) % 1.20/1.42 (assume @p784 (forall (@list @t1058 @t1068 @t992) (= (tptp.hAPP_n1414589940l_bool (tptp.cOMBB_1823939024ol_nat @t1058 @t1068) @t992) (tptp.hAPP_f1631501043l_bool @t1058 (tptp.hAPP_nat_fun_a_bool @t1068 @t992))))) % 1.20/1.42 (assume @p785 (forall (@list @t1069 @t1030 @t1028) (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f2117159681l_bool (tptp.cOMBC_1880041174l_bool @t1069) @t1030) @t1028) (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool @t1069 @t1028) @t1030)))) % 1.20/1.42 (assume @p786 (forall (@list @t1058 @t1070 @t999) (= (tptp.hAPP_p1824510254l_bool (tptp.cOMBB_392435466_pname @t1058 @t1070) @t999) (tptp.hAPP_f1631501043l_bool @t1058 (tptp.hAPP_p1534023578a_bool @t1070 @t999))))) % 1.20/1.42 (assume @p787 (forall (@list @t1063 @t1071 @t983) (= (tptp.hAPP_a1392362872l_bool (tptp.cOMBB_743407885bool_a @t1063 @t1071) @t983) (tptp.hAPP_f103356543l_bool @t1063 (tptp.hAPP_a_fun_nat_bool @t1071 @t983))))) % 1.20/1.42 (assume @p788 (forall (@list @t1066 @t1072 @t983) (= (tptp.hAPP_a217006258l_bool (tptp.cOMBB_1137537805bool_a @t1066 @t1072) @t983) (tptp.hAPP_f434788991l_bool @t1066 (tptp.hAPP_a93125764e_bool @t1072 @t983))))) % 1.20/1.42 (assume @p789 (forall (@list @t1063 @t1073 @t992) (= (tptp.hAPP_n215258509l_bool (tptp.cOMBB_2026977092ol_nat @t1063 @t1073) @t992) (tptp.hAPP_f103356543l_bool @t1063 (tptp.hAPP_n1699378549t_bool @t1073 @t992))))) % 1.20/1.42 (assume @p790 (forall (@list @t1074 @t1042 @t1040) (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_f1246832597l_bool (tptp.cOMBC_1245412066l_bool @t1074) @t1042) @t1040) (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool @t1074 @t1040) @t1042)))) % 1.20/1.42 (assume @p791 (forall (@list @t1063 @t1075 @t999) (= (tptp.hAPP_p130839763l_bool (tptp.cOMBB_928955006_pname @t1063 @t1075) @t999) (tptp.hAPP_f103356543l_bool @t1063 (tptp.hAPP_p1499970991t_bool @t1075 @t999))))) % 1.20/1.42 (assume @p792 (forall (@list @t1066 @t1076 @t992) (= (tptp.hAPP_n850744903l_bool (tptp.cOMBB_2117322052ol_nat @t1066 @t1076) @t992) (tptp.hAPP_f434788991l_bool @t1066 (tptp.hAPP_n1025906991e_bool @t1076 @t992))))) % 1.20/1.42 (assume @p793 (forall (@list @t1077 @t1052 @t1048) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f559147733l_bool (tptp.cOMBC_1988546018l_bool @t1077) @t1052) @t1048) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool @t1077 @t1048) @t1052)))) % 1.20/1.42 (assume @p794 (forall (@list @t1066 @t1078 @t999) (= (tptp.hAPP_p338031245l_bool (tptp.cOMBB_408569982_pname @t1066 @t1078) @t999) (tptp.hAPP_f434788991l_bool @t1066 (tptp.hAPP_p61793385e_bool @t1078 @t999))))) % 1.20/1.42 (assume @p795 (forall (@list @t1080 @t1030 @t1079) (= (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool (tptp.cOMBC_331553030l_bool @t1080) @t1030) @t1079) (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool @t1080 @t1079) @t1030)))) % 1.20/1.42 (assume @p796 (forall (@list @t1082 @t1042 @t1081) (= (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool (tptp.cOMBC_595898202l_bool @t1082) @t1042) @t1081) (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool @t1082 @t1081) @t1042)))) % 1.20/1.42 (assume @p797 (forall (@list @t1084 @t1052 @t1083) (= (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool @t1084) @t1052) @t1083) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool @t1084 @t1083) @t1052)))) % 1.20/1.42 (assume @p798 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname tptp.u))) % 1.20/1.42 (assume @p799 @t1086) % 1.20/1.42 (assume @p800 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1088) @t1087))) % 1.20/1.42 (assume @p801 (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a tptp.g) (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t1087) @t1088))) % 1.20/1.42 (assume @p802 @t1089) % 1.20/1.42 (assume @p803 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t1091 tptp.g)))) % 1.20/1.42 (assume @p804 (not @t1092)) % 1.20/1.42 (assume @p805 true) % 1.20/1.42 (step @p806 :rule aci_norm :args ((= (or false @t185 @t546) @t1093))) % 1.20/1.42 (step @p807 :rule refl :args (@t546)) % 1.20/1.42 (step @p808 :rule refl :args (@t185)) % 1.20/1.42 (step @p809 :rule evaluate :args ((not true))) % 1.20/1.42 (step @p810 :rule eq-refl :args (@t450)) % 1.20/1.42 (step @p811 :rule cong :premises (@p810) :args (@t1094)) % 1.20/1.42 (step @p812 :rule trans :premises (@p811 @p809)) % 1.20/1.42 (step @p813 :rule nary_cong :premises (@p812 @p808 @p807) :args (@t1095)) % 1.20/1.42 (step @p814 :rule trans :premises (@p813 @p806)) % 1.20/1.42 (step @p815 :rule cong :premises (@p814) :args ((forall @t1096 @t1095))) % 1.20/1.42 (step @p816 :rule quant-var-elim-eq :args ((= (forall @t1099 @t1098) @t1095))) % 1.20/1.42 (step @p817 :rule aci_norm :args ((= @t1100 @t1098))) % 1.20/1.42 (step @p818 :rule cong :premises (@p817) :args (@t1101)) % 1.20/1.42 (step @p819 :rule trans :premises (@p818 @p816)) % 1.20/1.42 (step @p820 :rule cong :premises (@p819) :args (@t1102)) % 1.20/1.42 (step @p821 :rule quant-merge-prenex :args ((= @t1102 @t1103))) % 1.20/1.42 (step @p822 :rule symm :premises (@p821)) % 1.20/1.42 (step @p823 :rule quant_var_reordering :args ((= (forall @t452 @t1100) @t1103))) % 1.20/1.42 (step @p824 :rule trans :premises (@p823 @p822 @p820)) % 1.20/1.42 (step @p825 :rule trans :premises (@p824 @p815)) % 1.20/1.42 (step @p826 :rule aci_norm :args ((= (or @t1097 (or @t185 @t448)) @t1100))) % 1.20/1.42 (step @p827 :rule bool-impl-elim :args (@t184 @t448)) % 1.20/1.42 (step @p828 :rule refl :args (@t1097)) % 1.20/1.42 (step @p829 :rule nary_cong :premises (@p828 @p827) :args ((or @t1097 @t449))) % 1.20/1.42 (step @p830 :rule trans :premises (@p829 @p826)) % 1.20/1.42 (step @p831 :rule bool-impl-elim :args (@t451 @t449)) % 1.20/1.42 (step @p832 :rule trans :premises (@p831 @p830)) % 1.20/1.42 (step @p833 :rule cong :premises (@p832) :args (@t453)) % 1.20/1.42 (step @p834 :rule trans :premises (@p833 @p825)) % 1.20/1.42 (step @p835 :rule eq_resolve :premises (@p216 @p834)) % 1.20/1.42 (step @p836 :rule instantiate :premises (@p322) :args ((@list @t1090 tptp.g @t1085))) % 1.20/1.42 (step @p837 :rule cnf_equiv_pos2 :args (@t1106)) % 1.20/1.42 (step @p838 :rule reordering :premises (@p837) :args ((or @t1092 @t1107 (not @t1106)))) % 1.20/1.42 (step @p839 :rule chain_m_resolution :premises (@p838 @p804 @p836) :args (@t1107 @t1108 (@list @t1092 @t1106))) % 1.20/1.42 (step @p840 :rule cnf_and_neg :args (@t1105)) % 1.20/1.42 (step @p841 :rule reordering :premises (@p840) :args ((or (not @t1086) @t1105 @t1109))) % 1.20/1.42 (step @p842 :rule chain_m_resolution :premises (@p841 @p799 @p839) :args (@t1109 @t1110 (@list @t1086 @t1105))) % 1.20/1.42 (step @p843 :rule cnf_or_pos :args (@t1112)) % 1.20/1.42 (step @p844 :rule reordering :premises (@p843) :args ((or @t1111 @t1104 @t1113))) % 1.20/1.42 (step @p845 :rule chain_m_resolution :premises (@p844 @p802 @p842) :args (@t1113 @t1110 (@list @t1089 @t1104))) % 1.20/1.42 (assume-push @p852 @t1114) % 1.20/1.42 (step @p847 :rule instantiate :premises (@p835) :args ((@list tptp.u tptp.mgt_call tptp.pn))) % 1.20/1.42 (step-pop @p853 :rule scope :premises (@p847)) % 1.20/1.42 (step @p848 :rule process_scope :premises (@p853) :args (@t1112)) % 1.20/1.42 (step @p850 :rule implies_elim :premises (@p848)) % 1.20/1.42 (step @p851 false :rule chain_m_resolution :premises (@p850 @p845 @p835) :args (false @t1108 (@list @t1112 @t1114))) % 1.20/1.42 ) % 1.20/1.42 % SZS output end Proof % 1.20/1.42 % cvc5 exiting %------------------------------------------------------------------------------