%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW473_1 : 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 : n024.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 0.34s 0.60s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW473_1 : TPTP v9.2.1. Released v5.3.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 17:07:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.41 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.60 % SZS status Theorem % 0.34/0.60 % SZS output start Proof % 0.34/0.60 ( % 0.34/0.60 (declare-sort tptp.fun_bool_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu911136611l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu2087345469l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu616551101l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu1731003005a_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu821463397t_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu410713561e_bool 0) % 0.34/0.60 (declare-sort tptp.fun_a_fun_a_bool 0) % 0.34/0.60 (declare-sort tptp.fun_a_fun_pname_bool 0) % 0.34/0.60 (declare-sort tptp.fun_na1469252690l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_pn250273176l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_a_fun_bool_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu554186387l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu31783638l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_bo1549164019l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu1016514960l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_a_1255737515l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu386216885l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu931343505l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu1436348701l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_nat_nat 0) % 0.34/0.60 (declare-sort tptp.fun_fu1373417771bool_a 0) % 0.34/0.60 (declare-sort tptp.fun_fu48515398ol_nat 0) % 0.34/0.60 (declare-sort tptp.fun_fu2061654492bool_a 0) % 0.34/0.60 (declare-sort tptp.fun_fu1701008009ol_nat 0) % 0.34/0.60 (declare-sort tptp.fun_fu897950882bool_a 0) % 0.34/0.60 (declare-sort tptp.fun_fu1297083715ol_nat 0) % 0.34/0.60 (declare-sort tptp.pname 0) % 0.34/0.60 (declare-sort tptp.nat 0) % 0.34/0.60 (declare-sort tptp.x_a 0) % 0.34/0.60 (declare-sort tptp.fun_nat_pname 0) % 0.34/0.60 (declare-sort tptp.fun_pname_nat 0) % 0.34/0.60 (declare-sort tptp.fun_fun_a_bool_a 0) % 0.34/0.60 (declare-sort tptp.fun_pname_a 0) % 0.34/0.60 (declare-sort tptp.fun_fu1911931399l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu140186515l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu418465139l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_a_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu821736593l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_pn422929397l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu255076663l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_pn406123357t_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu2065874474l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_nat_fun_a_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu1438281908l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_pn1165013435l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu1137991347l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_nat_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu61768826l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_nat_a 0) % 0.34/0.60 (declare-sort tptp.fun_fu885608257l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu399576434l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fun_a_bool_bool 0) % 0.34/0.60 (declare-sort tptp.fun_na936072029e_bool 0) % 0.34/0.60 (declare-sort tptp.bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu1175941238_pname 0) % 0.34/0.60 (declare-sort tptp.fun_fu1086940979l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu425979586l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu1971389424l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu754241017l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu1217155507l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu1471507361l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_pname_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu881587263_pname 0) % 0.34/0.60 (declare-sort tptp.fun_fu814369080l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu411113733ol_nat 0) % 0.34/0.60 (declare-sort tptp.fun_pname_fun_a_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu1430349052l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu802393907l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_fu1730389579ol_nat 0) % 0.34/0.60 (declare-sort tptp.fun_fu2020802748ol_nat 0) % 0.34/0.60 (declare-sort tptp.fun_a_a 0) % 0.34/0.60 (declare-sort tptp.fun_fun_a_bool_nat 0) % 0.34/0.60 (declare-sort tptp.fun_fu1668467777ol_nat 0) % 0.34/0.60 (declare-sort tptp.fun_fun_nat_bool_nat 0) % 0.34/0.60 (declare-sort tptp.fun_a_nat 0) % 0.34/0.60 (declare-sort tptp.fun_fu1664106117_pname 0) % 0.34/0.60 (declare-sort tptp.fun_fun_a_bool_pname 0) % 0.34/0.60 (declare-sort tptp.fun_fu1499449723_pname 0) % 0.34/0.60 (declare-sort tptp.fun_fu665170229_pname 0) % 0.34/0.60 (declare-sort tptp.fun_a_pname 0) % 0.34/0.60 (declare-sort tptp.fun_na1436237685l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_na2122364079l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_na1632405922l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_nat_fun_nat_bool 0) % 0.34/0.60 (declare-sort tptp.fun_pn1038293468l_bool 0) % 0.34/0.60 (declare-sort tptp.fun_pn800050071e_bool 0) % 0.34/0.60 (declare-sort tptp.fun_pname_pname 0) % 0.34/0.60 (declare-sort tptp.fun_fun_nat_bool_a 0) % 0.34/0.60 (declare-sort tptp.fun_fun_pname_bool_a 0) % 0.34/0.60 (declare-const tptp.na tptp.nat) % 0.34/0.60 (declare-const tptp.u tptp.fun_pname_bool) % 0.34/0.60 (declare-const tptp.hAPP_f1476298914l_bool (-> tptp.fun_fu31783638l_bool tptp.fun_pname_bool tptp.fun_bool_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f1748468828l_bool (-> tptp.fun_fu1016514960l_bool tptp.fun_nat_bool tptp.fun_bool_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f198738859l_bool (-> tptp.fun_fu554186387l_bool tptp.fun_a_bool tptp.fun_bool_bool)) % 0.34/0.60 (declare-const tptp.hAPP_p393069232l_bool (-> tptp.fun_pn250273176l_bool tptp.pname tptp.fun_bool_bool)) % 0.34/0.60 (declare-const tptp.hAPP_n1006566506l_bool (-> tptp.fun_na1469252690l_bool tptp.nat tptp.fun_bool_bool)) % 0.34/0.60 (declare-const tptp.hAPP_p1534023578a_bool (-> tptp.fun_pname_fun_a_bool tptp.pname tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.hAPP_a_fun_bool_bool (-> tptp.fun_a_fun_bool_bool tptp.x_a tptp.fun_bool_bool)) % 0.34/0.60 (declare-const tptp.hAPP_b589554111l_bool (-> tptp.fun_bo1549164019l_bool tptp.bool tptp.fun_bool_bool)) % 0.34/0.60 (declare-const tptp.hAPP_bool_bool (-> tptp.fun_bool_bool tptp.bool tptp.bool)) % 0.34/0.60 (declare-const tptp.hAPP_a_bool (-> tptp.fun_a_bool tptp.x_a tptp.bool)) % 0.34/0.60 (declare-const tptp.hAPP_pname_bool (-> tptp.fun_pname_bool tptp.pname tptp.bool)) % 0.34/0.60 (declare-const tptp.cOMBB_2140588453a_bool (-> tptp.fun_bool_bool tptp.fun_fun_a_bool_bool tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (declare-const tptp.cOMBB_307249310e_bool (-> tptp.fun_bool_bool tptp.fun_fu1430349052l_bool tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (declare-const tptp.cOMBB_238756964t_bool (-> tptp.fun_bool_bool tptp.fun_fu425979586l_bool tptp.fun_fu425979586l_bool)) % 0.34/0.60 (declare-const tptp.cOMBB_bool_bool_a (-> tptp.fun_bool_bool tptp.fun_a_bool tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.cOMBB_647938656_pname (-> tptp.fun_bool_bool tptp.fun_pname_bool tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.fimplies tptp.fun_bo1549164019l_bool) % 0.34/0.60 (declare-const tptp.cOMBB_bool_bool_nat (-> tptp.fun_bool_bool tptp.fun_nat_bool tptp.fun_nat_bool)) % 0.34/0.60 (declare-const tptp.fNot tptp.fun_bool_bool) % 0.34/0.60 (declare-const tptp.fequal_fun_a_bool tptp.fun_fu1471507361l_bool) % 0.34/0.60 (declare-const tptp.hAPP_f2117159681l_bool (-> tptp.fun_fu911136611l_bool tptp.fun_fun_a_bool_bool tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (declare-const tptp.cOMBC_1880041174l_bool (-> tptp.fun_fu386216885l_bool tptp.fun_fu911136611l_bool)) % 0.34/0.60 (declare-const tptp.fequal533582459e_bool tptp.fun_fu802393907l_bool) % 0.34/0.60 (declare-const tptp.hAPP_f559147733l_bool (-> tptp.fun_fu2087345469l_bool tptp.fun_fu1430349052l_bool tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (declare-const tptp.cOMBC_1988546018l_bool (-> tptp.fun_fu931343505l_bool tptp.fun_fu2087345469l_bool)) % 0.34/0.60 (declare-const tptp.fequal_fun_nat_bool tptp.fun_fu1217155507l_bool) % 0.34/0.60 (declare-const tptp.cOMBC_1245412066l_bool (-> tptp.fun_fu1436348701l_bool tptp.fun_fu616551101l_bool)) % 0.34/0.60 (declare-const tptp.hAPP_a_fun_a_bool (-> tptp.fun_a_fun_a_bool tptp.x_a tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.cOMBC_a_a_bool (-> tptp.fun_a_fun_a_bool tptp.fun_a_fun_a_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f2050579477a_bool (-> tptp.fun_fu1731003005a_bool tptp.fun_a_bool tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.cOMBC_1355376034l_bool (-> tptp.fun_a_1255737515l_bool tptp.fun_fu1731003005a_bool)) % 0.34/0.60 (declare-const tptp.hAPP_p61793385e_bool (-> tptp.fun_pn800050071e_bool tptp.pname tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.cOMBC_1149511130e_bool (-> tptp.fun_pn800050071e_bool tptp.fun_pn800050071e_bool)) % 0.34/0.60 (declare-const tptp.fequal_pname tptp.fun_pn800050071e_bool) % 0.34/0.60 (declare-const tptp.fequal_nat tptp.fun_nat_fun_nat_bool) % 0.34/0.60 (declare-const tptp.hAPP_f800510211t_bool (-> tptp.fun_fu821463397t_bool tptp.fun_nat_bool tptp.fun_nat_bool)) % 0.34/0.60 (declare-const tptp.cOMBC_226598744l_bool (-> tptp.fun_na1436237685l_bool tptp.fun_fu821463397t_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f759274231e_bool (-> tptp.fun_fu410713561e_bool tptp.fun_pname_bool tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.cOMBC_1058051404l_bool (-> tptp.fun_pn422929397l_bool tptp.fun_fu410713561e_bool)) % 0.34/0.60 (declare-const tptp.hAPP_a93125764e_bool (-> tptp.fun_a_fun_pname_bool tptp.x_a tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.cOMBC_pname_a_bool (-> tptp.fun_pname_fun_a_bool tptp.fun_a_fun_pname_bool)) % 0.34/0.60 (declare-const tptp.cOMBB_1897541054_pname (-> tptp.fun_a_fun_a_bool tptp.fun_pname_a tptp.fun_pname_fun_a_bool)) % 0.34/0.60 (declare-const tptp.fequal_a tptp.fun_a_fun_a_bool) % 0.34/0.60 (declare-const tptp.hAPP_pname_a (-> tptp.fun_pname_a tptp.pname tptp.x_a)) % 0.34/0.60 (declare-const tptp.hAPP_nat_fun_a_bool (-> tptp.fun_nat_fun_a_bool tptp.nat tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.hAPP_n1025906991e_bool (-> tptp.fun_na936072029e_bool tptp.nat tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.fdisj tptp.fun_bo1549164019l_bool) % 0.34/0.60 (declare-const tptp.cOMBC_nat_nat_bool (-> tptp.fun_nat_fun_nat_bool tptp.fun_nat_fun_nat_bool)) % 0.34/0.60 (declare-const tptp.cOMBS_nat_bool_bool (-> tptp.fun_na1469252690l_bool tptp.fun_nat_bool tptp.fun_nat_bool)) % 0.34/0.60 (declare-const tptp.cOMBB_1015721476ol_nat (-> tptp.fun_bo1549164019l_bool tptp.fun_nat_bool tptp.fun_na1469252690l_bool)) % 0.34/0.60 (declare-const tptp.g tptp.fun_a_bool) % 0.34/0.60 (declare-const tptp.collect_pname (-> tptp.fun_pname_bool tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.cOMBS_568398431l_bool (-> tptp.fun_pn250273176l_bool tptp.fun_pname_bool tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.cOMBB_675860798_pname (-> tptp.fun_bo1549164019l_bool tptp.fun_pname_bool tptp.fun_pn250273176l_bool)) % 0.34/0.60 (declare-const tptp.cOMBS_a_bool_bool (-> tptp.fun_a_fun_bool_bool tptp.fun_a_bool tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.cOMBB_1972296269bool_a (-> tptp.fun_bo1549164019l_bool tptp.fun_a_bool tptp.fun_a_fun_bool_bool)) % 0.34/0.60 (declare-const tptp.cOMBS_1035972772l_bool (-> tptp.fun_fu554186387l_bool tptp.fun_fun_a_bool_bool tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (declare-const tptp.cOMBB_338059395a_bool (-> tptp.fun_bo1549164019l_bool tptp.fun_fun_a_bool_bool tptp.fun_fu554186387l_bool)) % 0.34/0.60 (declare-const tptp.cOMBS_350070575l_bool (-> tptp.fun_fu31783638l_bool tptp.fun_fu1430349052l_bool tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (declare-const tptp.cOMBB_2095475776e_bool (-> tptp.fun_bo1549164019l_bool tptp.fun_fu1430349052l_bool tptp.fun_fu31783638l_bool)) % 0.34/0.60 (declare-const tptp.cOMBS_1187019125l_bool (-> tptp.fun_fu1016514960l_bool tptp.fun_fu425979586l_bool tptp.fun_fu425979586l_bool)) % 0.34/0.60 (declare-const tptp.cOMBB_444170502t_bool (-> tptp.fun_bo1549164019l_bool tptp.fun_fu425979586l_bool tptp.fun_fu1016514960l_bool)) % 0.34/0.60 (declare-const tptp.fconj tptp.fun_bo1549164019l_bool) % 0.34/0.60 (declare-const tptp.hAPP_a85458249l_bool (-> tptp.fun_a_1255737515l_bool tptp.x_a tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (declare-const tptp.hAPP_p338031245l_bool (-> tptp.fun_pn422929397l_bool tptp.pname tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (declare-const tptp.hAPP_n215258509l_bool (-> tptp.fun_na1436237685l_bool tptp.nat tptp.fun_fu425979586l_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f285962445l_bool (-> tptp.fun_fu386216885l_bool tptp.fun_a_bool tptp.fun_fu885608257l_bool)) % 0.34/0.60 (declare-const tptp.member_fun_a_bool tptp.fun_fu386216885l_bool) % 0.34/0.60 (declare-const tptp.hAPP_f556039215l_bool (-> tptp.fun_fu931343505l_bool tptp.fun_pname_bool tptp.fun_fu399576434l_bool)) % 0.34/0.60 (declare-const tptp.collect_a (-> tptp.fun_a_bool tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.member799430823e_bool tptp.fun_fu931343505l_bool) % 0.34/0.60 (declare-const tptp.hAPP_f1951378235l_bool (-> tptp.fun_fu1436348701l_bool tptp.fun_nat_bool tptp.fun_fu814369080l_bool)) % 0.34/0.60 (declare-const tptp.member_fun_nat_bool tptp.fun_fu1436348701l_bool) % 0.34/0.60 (declare-const tptp.hAPP_nat_nat (-> tptp.fun_nat_nat tptp.nat tptp.nat)) % 0.34/0.60 (declare-const tptp.suc tptp.fun_nat_nat) % 0.34/0.60 (declare-const tptp.image_573985017bool_a (-> tptp.fun_fu1373417771bool_a tptp.fun_fu885608257l_bool tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.ord_le675606854l_bool tptp.fun_fu1911931399l_bool) % 0.34/0.60 (declare-const tptp.cOMBC_331553030l_bool (-> tptp.fun_fu418465139l_bool tptp.fun_fu418465139l_bool)) % 0.34/0.60 (declare-const tptp.finite1381704300l_bool tptp.fun_fu255076663l_bool) % 0.34/0.60 (declare-const tptp.insert_fun_nat_bool (-> tptp.fun_nat_bool tptp.fun_fu425979586l_bool tptp.fun_fu425979586l_bool)) % 0.34/0.60 (declare-const tptp.collec1635217238l_bool (-> tptp.fun_fu255076663l_bool tptp.fun_fu255076663l_bool)) % 0.34/0.60 (declare-const tptp.cOMBC_636888218l_bool (-> tptp.fun_fu821736593l_bool tptp.fun_fu821736593l_bool)) % 0.34/0.60 (declare-const tptp.finite595471783e_bool tptp.fun_fu399576434l_bool) % 0.34/0.60 (declare-const tptp.member_a tptp.fun_a_1255737515l_bool) % 0.34/0.60 (declare-const tptp.ord_le967226251l_bool tptp.fun_fu821736593l_bool) % 0.34/0.60 (declare-const tptp.insert1325755072e_bool (-> tptp.fun_pname_bool tptp.fun_fu1430349052l_bool tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (declare-const tptp.collec707592106l_bool (-> tptp.fun_fu885608257l_bool tptp.fun_fu885608257l_bool)) % 0.34/0.60 (declare-const tptp.collec792590109l_bool (-> tptp.fun_fu1438281908l_bool tptp.fun_fu1438281908l_bool)) % 0.34/0.60 (declare-const tptp.finite786885583l_bool tptp.fun_fu1438281908l_bool) % 0.34/0.60 (declare-const tptp.hAPP_f1759205631l_bool (-> tptp.fun_fu1086940979l_bool tptp.fun_fu399576434l_bool tptp.fun_fu1438281908l_bool)) % 0.34/0.60 (declare-const tptp.finite1491191519l_bool tptp.fun_fu2065874474l_bool) % 0.34/0.60 (declare-const tptp.cOMBC_336095980l_bool (-> tptp.fun_fu1086940979l_bool tptp.fun_fu1086940979l_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f621171935l_bool (-> tptp.fun_fu885608257l_bool tptp.fun_fun_a_bool_bool tptp.bool)) % 0.34/0.60 (declare-const tptp.finite1343359508l_bool tptp.fun_fu754241017l_bool) % 0.34/0.60 (declare-const tptp.hAPP_f937997336l_bool (-> tptp.fun_fu61768826l_bool tptp.fun_fu814369080l_bool tptp.bool)) % 0.34/0.60 (declare-const tptp.hAPP_f510955609l_bool (-> tptp.fun_fu1911931399l_bool tptp.fun_fu1430349052l_bool tptp.fun_fu399576434l_bool)) % 0.34/0.60 (declare-const tptp.finite1701474069l_bool tptp.fun_fu61768826l_bool) % 0.34/0.60 (declare-const tptp.collec1613912337l_bool (-> tptp.fun_fu399576434l_bool tptp.fun_fu399576434l_bool)) % 0.34/0.60 (declare-const tptp.insert1457093509l_bool (-> tptp.fun_fun_a_bool_bool tptp.fun_fu885608257l_bool tptp.fun_fu885608257l_bool)) % 0.34/0.60 (declare-const tptp.collec1874991203l_bool (-> tptp.fun_fu61768826l_bool tptp.fun_fu61768826l_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f54304608l_bool (-> tptp.fun_fu425979586l_bool tptp.fun_nat_bool tptp.bool)) % 0.34/0.60 (declare-const tptp.cOMBC_1693257480l_bool (-> tptp.fun_fu1217155507l_bool tptp.fun_fu1217155507l_bool)) % 0.34/0.60 (declare-const tptp.ord_le1568362934t_bool tptp.fun_fu1217155507l_bool) % 0.34/0.60 (declare-const tptp.collect_fun_nat_bool (-> tptp.fun_fu425979586l_bool tptp.fun_fu425979586l_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f1631501043l_bool (-> tptp.fun_fu1471507361l_bool tptp.fun_a_bool tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (declare-const tptp.member_pname tptp.fun_pn422929397l_bool) % 0.34/0.60 (declare-const tptp.ord_le1375671464l_bool tptp.fun_fu1086940979l_bool) % 0.34/0.60 (declare-const tptp.ord_le1311769555a_bool tptp.fun_fu1471507361l_bool) % 0.34/0.60 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.fun_nat_nat)) % 0.34/0.60 (declare-const tptp.hAPP_f760187903l_bool (-> tptp.fun_fu1137991347l_bool tptp.fun_fu814369080l_bool tptp.fun_fu61768826l_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f98387925ol_nat (-> tptp.fun_fu1701008009ol_nat tptp.fun_fu399576434l_bool tptp.nat)) % 0.34/0.60 (declare-const tptp.finite2012431853t_bool tptp.fun_fu814369080l_bool) % 0.34/0.60 (declare-const tptp.insert_fun_a_bool (-> tptp.fun_a_bool tptp.fun_fun_a_bool_bool tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f103356543l_bool (-> tptp.fun_fu1217155507l_bool tptp.fun_nat_bool tptp.fun_fu425979586l_bool)) % 0.34/0.60 (declare-const tptp.cOMBC_595898202l_bool (-> tptp.fun_fu140186515l_bool tptp.fun_fu140186515l_bool)) % 0.34/0.60 (declare-const tptp.finite1659325229l_bool tptp.fun_fu48515398ol_nat) % 0.34/0.60 (declare-const tptp.hAPP_f292226953l_bool (-> tptp.fun_fu255076663l_bool tptp.fun_fu885608257l_bool tptp.bool)) % 0.34/0.60 (declare-const tptp.finite_finite_a tptp.fun_fun_a_bool_bool) % 0.34/0.60 (declare-const tptp.hAPP_f1295398978l_bool (-> tptp.fun_fu1971389424l_bool tptp.fun_fu61768826l_bool tptp.bool)) % 0.34/0.60 (declare-const tptp.ord_le1375614389l_bool tptp.fun_fu418465139l_bool) % 0.34/0.60 (declare-const tptp.cOMBC_1284144636l_bool (-> tptp.fun_fu802393907l_bool tptp.fun_fu802393907l_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f434788991l_bool (-> tptp.fun_fu802393907l_bool tptp.fun_pname_bool tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (declare-const tptp.ord_le1454342156l_bool tptp.fun_fu140186515l_bool) % 0.34/0.60 (declare-const tptp.hBOOL (-> tptp.bool Bool)) % 0.34/0.60 (declare-const tptp.member_nat tptp.fun_na1436237685l_bool) % 0.34/0.60 (declare-const tptp.ord_le65145710l_bool tptp.fun_fu1137991347l_bool) % 0.34/0.60 (declare-const tptp.hAPP_f1637334154l_bool (-> tptp.fun_fu814369080l_bool tptp.fun_fu425979586l_bool tptp.bool)) % 0.34/0.60 (declare-const tptp.finite_card_pname tptp.fun_fu1668467777ol_nat) % 0.34/0.60 (declare-const tptp.cOMBC_1732670874l_bool (-> tptp.fun_fu1471507361l_bool tptp.fun_fu1471507361l_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f595608956l_bool (-> tptp.fun_fu2065874474l_bool tptp.fun_fu1438281908l_bool tptp.bool)) % 0.34/0.60 (declare-const tptp.ord_le313189616e_bool tptp.fun_fu802393907l_bool) % 0.34/0.60 (declare-const tptp.hAPP_fun_a_bool_bool (-> tptp.fun_fun_a_bool_bool tptp.fun_a_bool tptp.bool)) % 0.34/0.60 (declare-const tptp.collect_nat (-> tptp.fun_nat_bool tptp.fun_nat_bool)) % 0.34/0.60 (declare-const tptp.p (-> tptp.fun_a_bool tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (declare-const tptp.cOMBC_1269652216l_bool (-> tptp.fun_fu1137991347l_bool tptp.fun_fu1137991347l_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f2009550088ol_nat (-> tptp.fun_fu2020802748ol_nat tptp.fun_fun_a_bool_bool tptp.nat)) % 0.34/0.60 (declare-const tptp.finite_finite_nat tptp.fun_fu425979586l_bool) % 0.34/0.60 (declare-const tptp.hAPP_f1935102916l_bool (-> tptp.fun_fu399576434l_bool tptp.fun_fu1430349052l_bool tptp.bool)) % 0.34/0.60 (declare-const tptp.hAPP_f1050622307l_bool (-> tptp.fun_fu821736593l_bool tptp.fun_fu885608257l_bool tptp.fun_fu255076663l_bool)) % 0.34/0.60 (declare-const tptp.finite_finite_pname tptp.fun_fu1430349052l_bool) % 0.34/0.60 (declare-const tptp.insert_pname (-> tptp.pname tptp.fun_pname_bool tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.cOMBC_7971162l_bool (-> tptp.fun_fu1911931399l_bool tptp.fun_fu1911931399l_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f1664156314l_bool (-> tptp.fun_fu1430349052l_bool tptp.fun_pname_bool tptp.bool)) % 0.34/0.60 (declare-const tptp.mgt_call tptp.fun_pname_a) % 0.34/0.60 (declare-const tptp.collect_fun_a_bool (-> tptp.fun_fun_a_bool_bool tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f389811538l_bool (-> tptp.fun_fu1438281908l_bool tptp.fun_fu399576434l_bool tptp.bool)) % 0.34/0.60 (declare-const tptp.finite347923420a_bool tptp.fun_fu885608257l_bool) % 0.34/0.60 (declare-const tptp.insert_nat (-> tptp.nat tptp.fun_nat_bool tptp.fun_nat_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f1434722111l_bool (-> tptp.fun_fu418465139l_bool tptp.fun_fun_a_bool_bool tptp.fun_fu885608257l_bool)) % 0.34/0.60 (declare-const tptp.pn tptp.pname) % 0.34/0.60 (declare-const tptp.collec1974731493e_bool (-> tptp.fun_fu1430349052l_bool tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (declare-const tptp.finite269641166l_bool tptp.fun_fu1701008009ol_nat) % 0.34/0.60 (declare-const tptp.collec1015864663l_bool (-> tptp.fun_fu814369080l_bool tptp.fun_fu814369080l_bool)) % 0.34/0.60 (declare-const tptp.image_pname_a (-> tptp.fun_pname_a tptp.fun_pname_bool tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.image_2089570637ol_nat (-> tptp.fun_fu411113733ol_nat tptp.fun_fu814369080l_bool tptp.fun_nat_bool)) % 0.34/0.60 (declare-const tptp.image_1079571347ol_nat (-> tptp.fun_fu1730389579ol_nat tptp.fun_fu399576434l_bool tptp.fun_nat_bool)) % 0.34/0.60 (declare-const tptp.image_1802975832ol_nat (-> tptp.fun_fu2020802748ol_nat tptp.fun_fu885608257l_bool tptp.fun_nat_bool)) % 0.34/0.60 (declare-const tptp.image_fun_a_bool_nat (-> tptp.fun_fun_a_bool_nat tptp.fun_fun_a_bool_bool tptp.fun_nat_bool)) % 0.34/0.60 (declare-const tptp.image_1551609309ol_nat (-> tptp.fun_fu1668467777ol_nat tptp.fun_fu1430349052l_bool tptp.fun_nat_bool)) % 0.34/0.60 (declare-const tptp.image_496248727ol_nat (-> tptp.fun_fun_nat_bool_nat tptp.fun_fu425979586l_bool tptp.fun_nat_bool)) % 0.34/0.60 (declare-const tptp.image_a_nat (-> tptp.fun_a_nat tptp.fun_a_bool tptp.fun_nat_bool)) % 0.34/0.60 (declare-const tptp.image_1604018183_pname (-> tptp.fun_fu881587263_pname tptp.fun_fu814369080l_bool tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f1772781669l_bool (-> tptp.fun_fu140186515l_bool tptp.fun_fu425979586l_bool tptp.fun_fu814369080l_bool)) % 0.34/0.60 (declare-const tptp.finite1340463720e_bool tptp.fun_fu1730389579ol_nat) % 0.34/0.60 (declare-const tptp.image_1705983821_pname (-> tptp.fun_fu1664106117_pname tptp.fun_fu399576434l_bool tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.image_990671762_pname (-> tptp.fun_fu1175941238_pname tptp.fun_fu885608257l_bool tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.image_1854862208_pname (-> tptp.fun_fun_a_bool_pname tptp.fun_fun_a_bool_bool tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.image_1283814551_pname (-> tptp.fun_fu1499449723_pname tptp.fun_fu1430349052l_bool tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.image_1921560913_pname (-> tptp.fun_fu665170229_pname tptp.fun_fu425979586l_bool tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.image_a_pname (-> tptp.fun_a_pname tptp.fun_a_bool tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.image_1607900221l_bool (-> tptp.fun_na1436237685l_bool tptp.fun_nat_bool tptp.fun_fu814369080l_bool)) % 0.34/0.60 (declare-const tptp.image_1874789623l_bool (-> tptp.fun_na2122364079l_bool tptp.fun_nat_bool tptp.fun_fu399576434l_bool)) % 0.34/0.60 (declare-const tptp.image_1208015684l_bool (-> tptp.fun_na1632405922l_bool tptp.fun_nat_bool tptp.fun_fu885608257l_bool)) % 0.34/0.60 (declare-const tptp.image_nat_fun_a_bool (-> tptp.fun_nat_fun_a_bool tptp.fun_nat_bool tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (declare-const tptp.image_1655916159e_bool (-> tptp.fun_na936072029e_bool tptp.fun_nat_bool tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (declare-const tptp.image_26036933t_bool (-> tptp.fun_nat_fun_nat_bool tptp.fun_nat_bool tptp.fun_fu425979586l_bool)) % 0.34/0.60 (declare-const tptp.image_nat_a (-> tptp.fun_nat_a tptp.fun_nat_bool tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.image_1154884483l_bool (-> tptp.fun_pn1165013435l_bool tptp.fun_pname_bool tptp.fun_fu814369080l_bool)) % 0.34/0.60 (declare-const tptp.image_1642285373l_bool (-> tptp.fun_pn422929397l_bool tptp.fun_pname_bool tptp.fun_fu399576434l_bool)) % 0.34/0.60 (declare-const tptp.image_1420695166l_bool (-> tptp.fun_pn1038293468l_bool tptp.fun_pname_bool tptp.fun_fu885608257l_bool)) % 0.34/0.60 (declare-const tptp.image_112932426a_bool (-> tptp.fun_pname_fun_a_bool tptp.fun_pname_bool tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (declare-const tptp.image_47868345e_bool (-> tptp.fun_pn800050071e_bool tptp.fun_pname_bool tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (declare-const tptp.image_2129980159t_bool (-> tptp.fun_pn406123357t_bool tptp.fun_pname_bool tptp.fun_fu425979586l_bool)) % 0.34/0.60 (declare-const tptp.image_pname_pname (-> tptp.fun_pname_pname tptp.fun_pname_bool tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.image_a_a (-> tptp.fun_a_a tptp.fun_a_bool tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.image_fun_nat_bool_a (-> tptp.fun_fun_nat_bool_a tptp.fun_fu425979586l_bool tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.image_876012084bool_a (-> tptp.fun_fun_pname_bool_a tptp.fun_fu1430349052l_bool tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.image_fun_a_bool_a (-> tptp.fun_fun_a_bool_a tptp.fun_fun_a_bool_bool tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.image_pname_nat (-> tptp.fun_pname_nat tptp.fun_pname_bool tptp.fun_nat_bool)) % 0.34/0.60 (declare-const tptp.image_nat_pname (-> tptp.fun_nat_pname tptp.fun_nat_bool tptp.fun_pname_bool)) % 0.34/0.60 (declare-const tptp.insert_a (-> tptp.x_a tptp.fun_a_bool tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f1253658590ol_nat (-> tptp.fun_fu48515398ol_nat tptp.fun_fu885608257l_bool tptp.nat)) % 0.34/0.60 (declare-const tptp.finite1352710292l_bool tptp.fun_fu1297083715ol_nat) % 0.34/0.60 (declare-const tptp.insert2003652156l_bool (-> tptp.fun_fu425979586l_bool tptp.fun_fu814369080l_bool tptp.fun_fu814369080l_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f1363661463l_bool (-> tptp.fun_fu754241017l_bool tptp.fun_fu255076663l_bool tptp.bool)) % 0.34/0.60 (declare-const tptp.ord_less_eq_nat tptp.fun_nat_fun_nat_bool) % 0.34/0.60 (declare-const tptp.insert1117693814l_bool (-> tptp.fun_fu1430349052l_bool tptp.fun_fu399576434l_bool tptp.fun_fu399576434l_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f921600141ol_nat (-> tptp.fun_fu1668467777ol_nat tptp.fun_pname_bool tptp.nat)) % 0.34/0.60 (declare-const tptp.hAPP_f1246832597l_bool (-> tptp.fun_fu616551101l_bool tptp.fun_fu425979586l_bool tptp.fun_fu425979586l_bool)) % 0.34/0.60 (declare-const tptp.finite_card_nat tptp.fun_fun_nat_bool_nat) % 0.34/0.60 (declare-const tptp.image_526090948bool_a (-> tptp.fun_fu897950882bool_a tptp.fun_fu814369080l_bool tptp.fun_a_bool)) % 0.34/0.60 (declare-const tptp.hAPP_f22106695ol_nat (-> tptp.fun_fun_nat_bool_nat tptp.fun_nat_bool tptp.nat)) % 0.34/0.60 (declare-const tptp.hAPP_n1699378549t_bool (-> tptp.fun_nat_fun_nat_bool tptp.nat tptp.fun_nat_bool)) % 0.34/0.60 (declare-const tptp.hAPP_nat_bool (-> tptp.fun_nat_bool tptp.nat tptp.bool)) % 0.34/0.60 (declare-const tptp.hAPP_fun_a_bool_nat (-> tptp.fun_fun_a_bool_nat tptp.fun_a_bool tptp.nat)) % 0.34/0.60 (declare-const tptp.finite346522414t_bool tptp.fun_fu411113733ol_nat) % 0.34/0.60 (declare-const tptp.finite_card_a tptp.fun_fun_a_bool_nat) % 0.34/0.60 (declare-const tptp.hAPP_f696928925ol_nat (-> tptp.fun_fu411113733ol_nat tptp.fun_fu425979586l_bool tptp.nat)) % 0.34/0.60 (declare-const tptp.finite1306199131a_bool tptp.fun_fu2020802748ol_nat) % 0.34/0.60 (declare-const tptp.hAPP_f55526627ol_nat (-> tptp.fun_fu1730389579ol_nat tptp.fun_fu1430349052l_bool tptp.nat)) % 0.34/0.60 (declare-const tptp.finite719726885l_bool tptp.fun_fu1971389424l_bool) % 0.34/0.60 (declare-const tptp.hAPP_f1690079119ol_nat (-> tptp.fun_fu1297083715ol_nat tptp.fun_fu814369080l_bool tptp.nat)) % 0.34/0.60 (declare-const tptp.image_349102846bool_a (-> tptp.fun_fu2061654492bool_a tptp.fun_fu399576434l_bool tptp.fun_a_bool)) % 0.34/0.60 (define @t1 () (@var "Ts" tptp.fun_a_bool)) % 0.34/0.60 (define @t2 () (@var "G" tptp.fun_a_bool)) % 0.34/0.60 (define @t3 () (@var "A" tptp.fun_nat_bool)) % 0.34/0.60 (define @t4 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t3))) % 0.34/0.60 (define @t5 () (@list @t3)) % 0.34/0.60 (define @t6 () (@var "A" tptp.fun_pname_bool)) % 0.34/0.60 (define @t7 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t6))) % 0.34/0.60 (define @t8 () (@list @t6)) % 0.34/0.60 (define @t9 () (@var "A" tptp.fun_a_bool)) % 0.34/0.60 (define @t10 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t9))) % 0.34/0.60 (define @t11 () (@list @t9)) % 0.34/0.60 (define @t12 () (@var "A" tptp.fun_fu814369080l_bool)) % 0.34/0.60 (define @t13 () (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool @t12))) % 0.34/0.60 (define @t14 () (@var "A" tptp.fun_fu399576434l_bool)) % 0.34/0.60 (define @t15 () (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool @t14))) % 0.34/0.60 (define @t16 () (@var "A" tptp.fun_fu885608257l_bool)) % 0.34/0.60 (define @t17 () (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool @t16))) % 0.34/0.60 (define @t18 () (@var "A" tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (define @t19 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t18))) % 0.34/0.60 (define @t20 () (@var "A" tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (define @t21 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t20))) % 0.34/0.60 (define @t22 () (@var "A" tptp.fun_fu425979586l_bool)) % 0.34/0.60 (define @t23 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t22))) % 0.34/0.60 (define @t24 () (@var "F_1" tptp.fun_pname_bool)) % 0.34/0.60 (define @t25 () (@var "H" tptp.fun_pname_a)) % 0.34/0.60 (define @t26 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t24))) % 0.34/0.60 (define @t27 () (@var "F_1" tptp.fun_fu814369080l_bool)) % 0.34/0.60 (define @t28 () (@var "H" tptp.fun_fu411113733ol_nat)) % 0.34/0.60 (define @t29 () (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool @t27))) % 0.34/0.60 (define @t30 () (@var "F_1" tptp.fun_fu399576434l_bool)) % 0.34/0.60 (define @t31 () (@var "H" tptp.fun_fu1730389579ol_nat)) % 0.34/0.60 (define @t32 () (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool @t30))) % 0.34/0.60 (define @t33 () (@var "F_1" tptp.fun_fu885608257l_bool)) % 0.34/0.60 (define @t34 () (@var "H" tptp.fun_fu2020802748ol_nat)) % 0.34/0.60 (define @t35 () (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool @t33))) % 0.34/0.60 (define @t36 () (@var "F_1" tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (define @t37 () (@var "H" tptp.fun_fun_a_bool_nat)) % 0.34/0.60 (define @t38 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t36))) % 0.34/0.60 (define @t39 () (@var "F_1" tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (define @t40 () (@var "H" tptp.fun_fu1668467777ol_nat)) % 0.34/0.60 (define @t41 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t39))) % 0.34/0.60 (define @t42 () (@var "F_1" tptp.fun_fu425979586l_bool)) % 0.34/0.60 (define @t43 () (@var "H" tptp.fun_fun_nat_bool_nat)) % 0.34/0.60 (define @t44 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t42))) % 0.34/0.60 (define @t45 () (@var "F_1" tptp.fun_a_bool)) % 0.34/0.60 (define @t46 () (@var "H" tptp.fun_a_nat)) % 0.34/0.60 (define @t47 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t45))) % 0.34/0.60 (define @t48 () (@var "H" tptp.fun_fu881587263_pname)) % 0.34/0.60 (define @t49 () (@var "H" tptp.fun_fu1664106117_pname)) % 0.34/0.60 (define @t50 () (@var "H" tptp.fun_fu1175941238_pname)) % 0.34/0.60 (define @t51 () (@var "H" tptp.fun_fun_a_bool_pname)) % 0.34/0.60 (define @t52 () (@var "H" tptp.fun_fu1499449723_pname)) % 0.34/0.60 (define @t53 () (@var "H" tptp.fun_fu665170229_pname)) % 0.34/0.60 (define @t54 () (@var "H" tptp.fun_a_pname)) % 0.34/0.60 (define @t55 () (@var "F_1" tptp.fun_nat_bool)) % 0.34/0.60 (define @t56 () (@var "H" tptp.fun_na1436237685l_bool)) % 0.34/0.60 (define @t57 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t55))) % 0.34/0.60 (define @t58 () (@var "H" tptp.fun_na2122364079l_bool)) % 0.34/0.60 (define @t59 () (@var "H" tptp.fun_na1632405922l_bool)) % 0.34/0.60 (define @t60 () (@var "H" tptp.fun_nat_fun_a_bool)) % 0.34/0.60 (define @t61 () (@var "H" tptp.fun_na936072029e_bool)) % 0.34/0.60 (define @t62 () (@var "H" tptp.fun_nat_fun_nat_bool)) % 0.34/0.60 (define @t63 () (@var "H" tptp.fun_nat_a)) % 0.34/0.60 (define @t64 () (@var "H" tptp.fun_pn1165013435l_bool)) % 0.34/0.60 (define @t65 () (@var "H" tptp.fun_pn422929397l_bool)) % 0.34/0.60 (define @t66 () (@var "H" tptp.fun_pn1038293468l_bool)) % 0.34/0.60 (define @t67 () (@var "H" tptp.fun_pname_fun_a_bool)) % 0.34/0.60 (define @t68 () (@var "H" tptp.fun_pn800050071e_bool)) % 0.34/0.60 (define @t69 () (@var "H" tptp.fun_pn406123357t_bool)) % 0.34/0.60 (define @t70 () (@var "H" tptp.fun_pname_pname)) % 0.34/0.60 (define @t71 () (@var "H" tptp.fun_a_a)) % 0.34/0.60 (define @t72 () (@var "H" tptp.fun_fun_nat_bool_a)) % 0.34/0.60 (define @t73 () (@var "H" tptp.fun_fun_pname_bool_a)) % 0.34/0.60 (define @t74 () (@var "H" tptp.fun_fun_a_bool_a)) % 0.34/0.60 (define @t75 () (@var "H" tptp.fun_pname_nat)) % 0.34/0.60 (define @t76 () (@var "H" tptp.fun_nat_pname)) % 0.34/0.60 (define @t77 () (@var "A_1" tptp.x_a)) % 0.34/0.60 (define @t78 () (tptp.insert_a @t77 @t9)) % 0.34/0.60 (define @t79 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t78))) % 0.34/0.60 (define @t80 () (@list @t77 @t9)) % 0.34/0.60 (define @t81 () (@var "A_1" tptp.nat)) % 0.34/0.60 (define @t82 () (tptp.insert_nat @t81 @t3)) % 0.34/0.60 (define @t83 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t82))) % 0.34/0.60 (define @t84 () (@list @t81 @t3)) % 0.34/0.60 (define @t85 () (@var "A_1" tptp.pname)) % 0.34/0.60 (define @t86 () (tptp.insert_pname @t85 @t6)) % 0.34/0.60 (define @t87 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t86))) % 0.34/0.60 (define @t88 () (@list @t85 @t6)) % 0.34/0.60 (define @t89 () (@var "A_1" tptp.fun_fu425979586l_bool)) % 0.34/0.60 (define @t90 () (@var "A_1" tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (define @t91 () (@var "A_1" tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (define @t92 () (@var "A_1" tptp.fun_a_bool)) % 0.34/0.60 (define @t93 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.insert_fun_a_bool @t92 @t18)))) % 0.34/0.60 (define @t94 () (@list @t92 @t18)) % 0.34/0.60 (define @t95 () (@var "A_1" tptp.fun_pname_bool)) % 0.34/0.60 (define @t96 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.insert1325755072e_bool @t95 @t20)))) % 0.34/0.60 (define @t97 () (@list @t95 @t20)) % 0.34/0.60 (define @t98 () (@var "A_1" tptp.fun_nat_bool)) % 0.34/0.60 (define @t99 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.insert_fun_nat_bool @t98 @t22)))) % 0.34/0.60 (define @t100 () (@list @t98 @t22)) % 0.34/0.60 (define @t101 () (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t6)) % 0.34/0.60 (define @t102 () (@var "F" tptp.fun_pname_nat)) % 0.34/0.60 (define @t103 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t9)) % 0.34/0.60 (define @t104 () (@var "F" tptp.fun_a_nat)) % 0.34/0.60 (define @t105 () (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool @t22)) % 0.34/0.60 (define @t106 () (@var "F" tptp.fun_fun_nat_bool_nat)) % 0.34/0.60 (define @t107 () (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool @t20)) % 0.34/0.60 (define @t108 () (@var "F" tptp.fun_fu1668467777ol_nat)) % 0.34/0.60 (define @t109 () (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool @t18)) % 0.34/0.60 (define @t110 () (@var "F" tptp.fun_fun_a_bool_nat)) % 0.34/0.60 (define @t111 () (@var "F" tptp.fun_a_pname)) % 0.34/0.60 (define @t112 () (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t3)) % 0.34/0.60 (define @t113 () (@var "F" tptp.fun_nat_pname)) % 0.34/0.60 (define @t114 () (@var "F" tptp.fun_pname_a)) % 0.34/0.60 (define @t115 () (tptp.image_pname_a @t114 @t6)) % 0.34/0.60 (define @t116 () (@list @t114 @t6)) % 0.34/0.60 (define @t117 () (@var "F" tptp.fun_fu897950882bool_a)) % 0.34/0.60 (define @t118 () (@var "F" tptp.fun_fu2061654492bool_a)) % 0.34/0.60 (define @t119 () (@var "F" tptp.fun_fu1373417771bool_a)) % 0.34/0.60 (define @t120 () (@var "F" tptp.fun_fun_a_bool_a)) % 0.34/0.60 (define @t121 () (@var "F" tptp.fun_fun_pname_bool_a)) % 0.34/0.60 (define @t122 () (@var "F" tptp.fun_fun_nat_bool_a)) % 0.34/0.60 (define @t123 () (@var "F" tptp.fun_a_a)) % 0.34/0.60 (define @t124 () (@var "F" tptp.fun_pname_pname)) % 0.34/0.60 (define @t125 () (@var "F" tptp.fun_pn406123357t_bool)) % 0.34/0.60 (define @t126 () (@var "F" tptp.fun_pn800050071e_bool)) % 0.34/0.60 (define @t127 () (@var "F" tptp.fun_pname_fun_a_bool)) % 0.34/0.60 (define @t128 () (@var "F" tptp.fun_nat_a)) % 0.34/0.60 (define @t129 () (@var "F" tptp.fun_nat_fun_nat_bool)) % 0.34/0.60 (define @t130 () (@var "F" tptp.fun_na936072029e_bool)) % 0.34/0.60 (define @t131 () (@var "F" tptp.fun_nat_fun_a_bool)) % 0.34/0.60 (define @t132 () (@var "F" tptp.fun_fu665170229_pname)) % 0.34/0.60 (define @t133 () (@var "F" tptp.fun_fu1499449723_pname)) % 0.34/0.60 (define @t134 () (@var "F" tptp.fun_fun_a_bool_pname)) % 0.34/0.60 (define @t135 () (@var "B" tptp.fun_fu425979586l_bool)) % 0.34/0.60 (define @t136 () (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool @t135)) % 0.34/0.60 (define @t137 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t105)) % 0.34/0.60 (define @t138 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool @t22) @t135))) % 0.34/0.60 (define @t139 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t135))) % 0.34/0.60 (define @t140 () (@list @t22 @t135)) % 0.34/0.60 (define @t141 () (@var "B" tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (define @t142 () (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool @t141)) % 0.34/0.60 (define @t143 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t107)) % 0.34/0.60 (define @t144 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool @t20) @t141))) % 0.34/0.60 (define @t145 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t141))) % 0.34/0.60 (define @t146 () (@list @t20 @t141)) % 0.34/0.60 (define @t147 () (@var "B" tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (define @t148 () (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool @t147)) % 0.34/0.60 (define @t149 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t109)) % 0.34/0.60 (define @t150 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool @t18) @t147))) % 0.34/0.60 (define @t151 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t147))) % 0.34/0.60 (define @t152 () (@list @t18 @t147)) % 0.34/0.60 (define @t153 () (@var "B" tptp.fun_pname_bool)) % 0.34/0.60 (define @t154 () (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t153)) % 0.34/0.60 (define @t155 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t101)) % 0.34/0.60 (define @t156 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t6)) % 0.34/0.60 (define @t157 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t156 @t153))) % 0.34/0.60 (define @t158 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t153))) % 0.34/0.60 (define @t159 () (@list @t6 @t153)) % 0.34/0.60 (define @t160 () (@var "B" tptp.fun_a_bool)) % 0.34/0.60 (define @t161 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t160)) % 0.34/0.60 (define @t162 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t103)) % 0.34/0.60 (define @t163 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t9)) % 0.34/0.60 (define @t164 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t163 @t160))) % 0.34/0.60 (define @t165 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t160))) % 0.34/0.60 (define @t166 () (@list @t9 @t160)) % 0.34/0.60 (define @t167 () (@var "B" tptp.fun_nat_bool)) % 0.34/0.60 (define @t168 () (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t167)) % 0.34/0.60 (define @t169 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t112)) % 0.34/0.60 (define @t170 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t3)) % 0.34/0.60 (define @t171 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t170 @t167))) % 0.34/0.60 (define @t172 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t167))) % 0.34/0.60 (define @t173 () (@list @t3 @t167)) % 0.34/0.60 (define @t174 () (= @t6 @t153)) % 0.34/0.60 (define @t175 () (= @t9 @t160)) % 0.34/0.60 (define @t176 () (= @t3 @t167)) % 0.34/0.60 (define @t177 () (@var "X_2" tptp.fun_nat_bool)) % 0.34/0.60 (define @t178 () (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.insert_fun_nat_bool @t177 @t22))) % 0.34/0.60 (define @t179 () (@list @t177 @t22)) % 0.34/0.60 (define @t180 () (@var "X_2" tptp.fun_pname_bool)) % 0.34/0.60 (define @t181 () (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.insert1325755072e_bool @t180 @t20))) % 0.34/0.60 (define @t182 () (@list @t180 @t20)) % 0.34/0.60 (define @t183 () (@var "X_2" tptp.fun_a_bool)) % 0.34/0.60 (define @t184 () (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.insert_fun_a_bool @t183 @t18))) % 0.34/0.60 (define @t185 () (@list @t183 @t18)) % 0.34/0.60 (define @t186 () (@var "X_2" tptp.pname)) % 0.34/0.60 (define @t187 () (tptp.insert_pname @t186 @t6)) % 0.34/0.60 (define @t188 () (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t187)) % 0.34/0.60 (define @t189 () (@list @t186 @t6)) % 0.34/0.60 (define @t190 () (@var "X_2" tptp.nat)) % 0.34/0.60 (define @t191 () (tptp.insert_nat @t190 @t3)) % 0.34/0.60 (define @t192 () (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t191)) % 0.34/0.60 (define @t193 () (@list @t190 @t3)) % 0.34/0.60 (define @t194 () (@var "X_2" tptp.x_a)) % 0.34/0.60 (define @t195 () (tptp.insert_a @t194 @t9)) % 0.34/0.60 (define @t196 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t195)) % 0.34/0.60 (define @t197 () (@list @t194 @t9)) % 0.34/0.60 (define @t198 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool @t177) @t22))) % 0.34/0.60 (define @t199 () (=> (not @t198) (= @t178 (tptp.hAPP_nat_nat tptp.suc @t105)))) % 0.34/0.60 (define @t200 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool @t180) @t20))) % 0.34/0.60 (define @t201 () (=> (not @t200) (= @t181 (tptp.hAPP_nat_nat tptp.suc @t107)))) % 0.34/0.60 (define @t202 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool @t183) @t18))) % 0.34/0.60 (define @t203 () (=> (not @t202) (= @t184 (tptp.hAPP_nat_nat tptp.suc @t109)))) % 0.34/0.60 (define @t204 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t190)) % 0.34/0.60 (define @t205 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t204 @t3))) % 0.34/0.60 (define @t206 () (not @t205)) % 0.34/0.60 (define @t207 () (=> @t206 (= @t192 (tptp.hAPP_nat_nat tptp.suc @t112)))) % 0.34/0.60 (define @t208 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t186)) % 0.34/0.60 (define @t209 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t208 @t6))) % 0.34/0.60 (define @t210 () (not @t209)) % 0.34/0.60 (define @t211 () (=> @t210 (= @t188 (tptp.hAPP_nat_nat tptp.suc @t101)))) % 0.34/0.60 (define @t212 () (tptp.hAPP_a85458249l_bool tptp.member_a @t194)) % 0.34/0.60 (define @t213 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t212 @t9))) % 0.34/0.60 (define @t214 () (not @t213)) % 0.34/0.60 (define @t215 () (=> @t214 (= @t196 (tptp.hAPP_nat_nat tptp.suc @t103)))) % 0.34/0.60 (define @t216 () (@var "Q_1" tptp.fun_fu425979586l_bool)) % 0.34/0.60 (define @t217 () (@var "Pa" tptp.fun_fu425979586l_bool)) % 0.34/0.60 (define @t218 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool @t216)))) % 0.34/0.60 (define @t219 () (tptp.collect_fun_nat_bool @t217)) % 0.34/0.60 (define @t220 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t219))) % 0.34/0.60 (define @t221 () (@var "Q_1" tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (define @t222 () (@var "Pa" tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (define @t223 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool @t221)))) % 0.34/0.60 (define @t224 () (tptp.collec1974731493e_bool @t222)) % 0.34/0.60 (define @t225 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t224))) % 0.34/0.60 (define @t226 () (@var "Q_1" tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (define @t227 () (@var "Pa" tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (define @t228 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool @t226)))) % 0.34/0.60 (define @t229 () (tptp.collect_fun_a_bool @t227)) % 0.34/0.60 (define @t230 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t229))) % 0.34/0.60 (define @t231 () (@var "Q_1" tptp.fun_a_bool)) % 0.34/0.60 (define @t232 () (@var "Pa" tptp.fun_a_bool)) % 0.34/0.60 (define @t233 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a @t231)))) % 0.34/0.60 (define @t234 () (tptp.collect_a @t232)) % 0.34/0.60 (define @t235 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t234))) % 0.34/0.60 (define @t236 () (@var "Q_1" tptp.fun_pname_bool)) % 0.34/0.60 (define @t237 () (@var "Pa" tptp.fun_pname_bool)) % 0.34/0.60 (define @t238 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname @t236)))) % 0.34/0.60 (define @t239 () (tptp.collect_pname @t237)) % 0.34/0.60 (define @t240 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t239))) % 0.34/0.60 (define @t241 () (@var "Q_1" tptp.fun_nat_bool)) % 0.34/0.60 (define @t242 () (@var "Pa" tptp.fun_nat_bool)) % 0.34/0.60 (define @t243 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat @t241)))) % 0.34/0.60 (define @t244 () (tptp.collect_nat @t242)) % 0.34/0.60 (define @t245 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t244))) % 0.34/0.60 (define @t246 () (@var "N_1" tptp.nat)) % 0.34/0.60 (define @t247 () (@var "M_2" tptp.nat)) % 0.34/0.60 (define @t248 () (tptp.minus_minus_nat @t247)) % 0.34/0.60 (define @t249 () (tptp.hAPP_nat_nat @t248 @t246)) % 0.34/0.60 (define @t250 () (tptp.hAPP_nat_nat tptp.suc @t247)) % 0.34/0.60 (define @t251 () (tptp.minus_minus_nat @t250)) % 0.34/0.60 (define @t252 () (tptp.hAPP_nat_nat @t251 @t246)) % 0.34/0.60 (define @t253 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t246)) % 0.34/0.60 (define @t254 () (tptp.hBOOL (tptp.hAPP_nat_bool @t253 @t247))) % 0.34/0.60 (define @t255 () (@var "K" tptp.nat)) % 0.34/0.60 (define @t256 () (tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat)) % 0.34/0.60 (define @t257 () (@var "Na" tptp.nat)) % 0.34/0.60 (define @t258 () (tptp.hAPP_nat_nat tptp.suc @t257)) % 0.34/0.60 (define @t259 () (@var "Y" tptp.nat)) % 0.34/0.60 (define @t260 () (@var "X" tptp.nat)) % 0.34/0.60 (define @t261 () (= @t260 @t259)) % 0.34/0.60 (define @t262 () (@list @t260 @t259)) % 0.34/0.60 (define @t263 () (@var "Nat" tptp.nat)) % 0.34/0.60 (define @t264 () (@var "Nat_1" tptp.nat)) % 0.34/0.60 (define @t265 () (tptp.hAPP_nat_nat tptp.suc @t246)) % 0.34/0.60 (define @t266 () (@list @t246)) % 0.34/0.60 (define @t267 () (= @t247 @t246)) % 0.34/0.60 (define @t268 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t247)) % 0.34/0.60 (define @t269 () (tptp.hBOOL (tptp.hAPP_nat_bool @t268 @t246))) % 0.34/0.60 (define @t270 () (@list @t247 @t246)) % 0.34/0.60 (define @t271 () (@var "K_1" tptp.nat)) % 0.34/0.60 (define @t272 () (@var "I_1" tptp.nat)) % 0.34/0.60 (define @t273 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t272)) % 0.34/0.60 (define @t274 () (@var "J" tptp.nat)) % 0.34/0.60 (define @t275 () (tptp.minus_minus_nat @t272)) % 0.34/0.60 (define @t276 () (tptp.hBOOL (tptp.hAPP_nat_bool @t268 @t265))) % 0.34/0.60 (define @t277 () (@var "M_3" tptp.nat)) % 0.34/0.60 (define @t278 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t257)) % 0.34/0.60 (define @t279 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t258)) % 0.34/0.60 (define @t280 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t277)) % 0.34/0.60 (define @t281 () (tptp.hBOOL (tptp.hAPP_nat_bool @t280 @t257))) % 0.34/0.60 (define @t282 () (@list @t277 @t257)) % 0.34/0.60 (define @t283 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t265)) % 0.34/0.60 (define @t284 () (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t257) @t255)) % 0.34/0.60 (define @t285 () (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t277) @t255)) % 0.34/0.60 (define @t286 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t255)) % 0.34/0.60 (define @t287 () (tptp.hBOOL (tptp.hAPP_nat_bool @t286 @t257))) % 0.34/0.60 (define @t288 () (tptp.hBOOL (tptp.hAPP_nat_bool @t286 @t277))) % 0.34/0.60 (define @t289 () (@list @t257 @t255 @t277)) % 0.34/0.60 (define @t290 () (tptp.minus_minus_nat @t246)) % 0.34/0.60 (define @t291 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t271)) % 0.34/0.60 (define @t292 () (@var "L" tptp.nat)) % 0.34/0.60 (define @t293 () (@list @t292 @t247 @t246)) % 0.34/0.60 (define @t294 () (tptp.minus_minus_nat @t292)) % 0.34/0.60 (define @t295 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t160)) % 0.34/0.60 (define @t296 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t295 @t115))) % 0.34/0.60 (define @t297 () (@list @t160 @t114 @t6)) % 0.34/0.60 (define @t298 () (@var "C_2" tptp.fun_pname_bool)) % 0.34/0.60 (define @t299 () (@var "N_3" tptp.nat)) % 0.34/0.60 (define @t300 () (tptp.hBOOL (tptp.hAPP_nat_bool @t278 @t299))) % 0.34/0.60 (define @t301 () (@var "N_2" tptp.nat)) % 0.34/0.60 (define @t302 () (tptp.hAPP_nat_nat tptp.suc @t301)) % 0.34/0.60 (define @t303 () (@list @t301)) % 0.34/0.60 (define @t304 () (@var "F" tptp.fun_nat_nat)) % 0.34/0.60 (define @t305 () (@var "X_1" tptp.pname)) % 0.34/0.60 (define @t306 () (tptp.hAPP_pname_a @t114 @t305)) % 0.34/0.60 (define @t307 () (tptp.cOMBC_1058051404l_bool tptp.member_pname)) % 0.34/0.60 (define @t308 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t305)) % 0.34/0.60 (define @t309 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t308 @t6))) % 0.34/0.60 (define @t310 () (@list @t305)) % 0.34/0.60 (define @t311 () (@var "B_1" tptp.x_a)) % 0.34/0.60 (define @t312 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t311) @t115))) % 0.34/0.60 (define @t313 () (=> @t209 @t312)) % 0.34/0.60 (define @t314 () (tptp.hAPP_pname_a @t114 @t186)) % 0.34/0.60 (define @t315 () (= @t311 @t314)) % 0.34/0.60 (define @t316 () (@list @t6 @t311 @t114 @t186)) % 0.34/0.60 (define @t317 () (forall @t316 (=> @t315 @t313))) % 0.34/0.60 (define @t318 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t167)) % 0.34/0.60 (define @t319 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t318 @t3))) % 0.34/0.60 (define @t320 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t153)) % 0.34/0.60 (define @t321 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t320 @t6))) % 0.34/0.60 (define @t322 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t295 @t9))) % 0.34/0.60 (define @t323 () (@var "C_1" tptp.nat)) % 0.34/0.60 (define @t324 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t323)) % 0.34/0.60 (define @t325 () (@var "C_1" tptp.x_a)) % 0.34/0.60 (define @t326 () (tptp.hAPP_a85458249l_bool tptp.member_a @t325)) % 0.34/0.60 (define @t327 () (@var "C_1" tptp.pname)) % 0.34/0.60 (define @t328 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t327)) % 0.34/0.60 (define @t329 () (@var "B_1" tptp.nat)) % 0.34/0.60 (define @t330 () (tptp.insert_nat @t329 @t167)) % 0.34/0.60 (define @t331 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t81)) % 0.34/0.60 (define @t332 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t331 @t330))) % 0.34/0.60 (define @t333 () (= @t81 @t329)) % 0.34/0.60 (define @t334 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t331 @t167))) % 0.34/0.60 (define @t335 () (@list @t329 @t81 @t167)) % 0.34/0.60 (define @t336 () (@var "B_1" tptp.pname)) % 0.34/0.60 (define @t337 () (tptp.insert_pname @t336 @t153)) % 0.34/0.60 (define @t338 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t85)) % 0.34/0.60 (define @t339 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t338 @t337))) % 0.34/0.60 (define @t340 () (= @t85 @t336)) % 0.34/0.60 (define @t341 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t338 @t153))) % 0.34/0.60 (define @t342 () (@list @t336 @t85 @t153)) % 0.34/0.60 (define @t343 () (tptp.insert_a @t311 @t160)) % 0.34/0.60 (define @t344 () (tptp.hAPP_a85458249l_bool tptp.member_a @t77)) % 0.34/0.60 (define @t345 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t344 @t343))) % 0.34/0.60 (define @t346 () (= @t77 @t311)) % 0.34/0.60 (define @t347 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t344 @t160))) % 0.34/0.60 (define @t348 () (@list @t311 @t77 @t160)) % 0.34/0.60 (define @t349 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t331 @t3))) % 0.34/0.60 (define @t350 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t331 (tptp.insert_nat @t329 @t3)))) % 0.34/0.60 (define @t351 () (@list @t81 @t329 @t3)) % 0.34/0.60 (define @t352 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t338 @t6))) % 0.34/0.60 (define @t353 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t338 (tptp.insert_pname @t336 @t6)))) % 0.34/0.60 (define @t354 () (@list @t85 @t336 @t6)) % 0.34/0.60 (define @t355 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t344 @t9))) % 0.34/0.60 (define @t356 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t344 (tptp.insert_a @t311 @t9)))) % 0.34/0.60 (define @t357 () (@list @t77 @t311 @t9)) % 0.34/0.60 (define @t358 () (tptp.insert_nat @t81 @t167)) % 0.34/0.60 (define @t359 () (@list @t81 @t167)) % 0.34/0.60 (define @t360 () (tptp.insert_pname @t85 @t153)) % 0.34/0.60 (define @t361 () (@list @t85 @t153)) % 0.34/0.60 (define @t362 () (tptp.insert_a @t77 @t160)) % 0.34/0.60 (define @t363 () (@list @t77 @t160)) % 0.34/0.60 (define @t364 () (tptp.cOMBC_226598744l_bool tptp.member_nat)) % 0.34/0.60 (define @t365 () (tptp.cOMBC_nat_nat_bool tptp.fequal_nat)) % 0.34/0.60 (define @t366 () (tptp.hAPP_n1699378549t_bool @t365 @t81)) % 0.34/0.60 (define @t367 () (tptp.cOMBC_1149511130e_bool tptp.fequal_pname)) % 0.34/0.60 (define @t368 () (tptp.hAPP_p61793385e_bool @t367 @t85)) % 0.34/0.60 (define @t369 () (tptp.cOMBC_1355376034l_bool tptp.member_a)) % 0.34/0.60 (define @t370 () (tptp.cOMBC_a_a_bool tptp.fequal_a)) % 0.34/0.60 (define @t371 () (tptp.hAPP_a_fun_a_bool @t370 @t77)) % 0.34/0.60 (define @t372 () (tptp.cOMBC_1245412066l_bool tptp.member_fun_nat_bool)) % 0.34/0.60 (define @t373 () (tptp.cOMBC_1693257480l_bool tptp.fequal_fun_nat_bool)) % 0.34/0.60 (define @t374 () (tptp.hAPP_f103356543l_bool @t373 @t98)) % 0.34/0.60 (define @t375 () (tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool)) % 0.34/0.60 (define @t376 () (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool)) % 0.34/0.60 (define @t377 () (tptp.hAPP_f434788991l_bool @t376 @t95)) % 0.34/0.60 (define @t378 () (tptp.cOMBC_1880041174l_bool tptp.member_fun_a_bool)) % 0.34/0.60 (define @t379 () (tptp.cOMBC_1732670874l_bool tptp.fequal_fun_a_bool)) % 0.34/0.60 (define @t380 () (tptp.hAPP_f1631501043l_bool @t379 @t92)) % 0.34/0.60 (define @t381 () (@var "Y_1" tptp.nat)) % 0.34/0.60 (define @t382 () (tptp.insert_nat @t381 @t3)) % 0.34/0.60 (define @t383 () (@var "Y_1" tptp.pname)) % 0.34/0.60 (define @t384 () (tptp.insert_pname @t383 @t6)) % 0.34/0.60 (define @t385 () (@var "Y_1" tptp.x_a)) % 0.34/0.60 (define @t386 () (tptp.insert_a @t385 @t9)) % 0.34/0.60 (define @t387 () (tptp.hBOOL (tptp.hAPP_nat_bool @t3 @t190))) % 0.34/0.60 (define @t388 () (tptp.hBOOL (tptp.hAPP_pname_bool @t6 @t186))) % 0.34/0.60 (define @t389 () (tptp.hBOOL (tptp.hAPP_a_bool @t9 @t194))) % 0.34/0.60 (define @t390 () (tptp.insert_nat @t190 @t167)) % 0.34/0.60 (define @t391 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t204 @t167))) % 0.34/0.60 (define @t392 () (@list @t167 @t190 @t3)) % 0.34/0.60 (define @t393 () (tptp.insert_pname @t186 @t153)) % 0.34/0.60 (define @t394 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t208 @t153))) % 0.34/0.60 (define @t395 () (@list @t153 @t186 @t6)) % 0.34/0.60 (define @t396 () (tptp.insert_a @t194 @t160)) % 0.34/0.60 (define @t397 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t212 @t160))) % 0.34/0.60 (define @t398 () (@list @t160 @t194 @t9)) % 0.34/0.60 (define @t399 () (@list @t190 @t3 @t167)) % 0.34/0.60 (define @t400 () (@list @t194 @t9 @t160)) % 0.34/0.60 (define @t401 () (@list @t186 @t6 @t153)) % 0.34/0.60 (define @t402 () (@var "C" tptp.fun_nat_bool)) % 0.34/0.60 (define @t403 () (@var "C" tptp.fun_pname_bool)) % 0.34/0.60 (define @t404 () (@var "C" tptp.fun_a_bool)) % 0.34/0.60 (define @t405 () (@var "Z" tptp.x_a)) % 0.34/0.60 (define @t406 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t314) @t115))) % 0.34/0.60 (define @t407 () (@list @t114 @t186 @t6)) % 0.34/0.60 (define @t408 () (@var "Xa" tptp.fun_nat_bool)) % 0.34/0.60 (define @t409 () (@var "X_1" tptp.nat)) % 0.34/0.60 (define @t410 () (@var "Xa" tptp.fun_pname_bool)) % 0.34/0.60 (define @t411 () (@var "Xa" tptp.fun_a_bool)) % 0.34/0.60 (define @t412 () (@var "X_1" tptp.x_a)) % 0.34/0.60 (define @t413 () (@var "Xa" tptp.fun_fu425979586l_bool)) % 0.34/0.60 (define @t414 () (@var "X_1" tptp.fun_nat_bool)) % 0.34/0.60 (define @t415 () (@var "Xa" tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (define @t416 () (@var "X_1" tptp.fun_pname_bool)) % 0.34/0.60 (define @t417 () (@var "Xa" tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (define @t418 () (@var "X_1" tptp.fun_a_bool)) % 0.34/0.60 (define @t419 () (@var "D" tptp.fun_nat_bool)) % 0.34/0.60 (define @t420 () (@var "D" tptp.fun_pname_bool)) % 0.34/0.60 (define @t421 () (@var "D" tptp.fun_a_bool)) % 0.34/0.60 (define @t422 () (tptp.image_pname_a @t114 @t153)) % 0.34/0.60 (define @t423 () (@var "AA" tptp.fun_pname_bool)) % 0.34/0.60 (define @t424 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t115)) % 0.34/0.60 (define @t425 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t409)) % 0.34/0.60 (define @t426 () (@list @t409)) % 0.34/0.60 (define @t427 () (tptp.hAPP_a85458249l_bool tptp.member_a @t412)) % 0.34/0.60 (define @t428 () (@var "I" tptp.nat)) % 0.34/0.60 (define @t429 () (@var "M" tptp.nat)) % 0.34/0.60 (define @t430 () (@var "M_1" tptp.nat)) % 0.34/0.60 (define @t431 () (@list @t429)) % 0.34/0.60 (define @t432 () (@var "X_3" tptp.nat)) % 0.34/0.60 (define @t433 () (@var "N" tptp.fun_nat_bool)) % 0.34/0.60 (define @t434 () (@var "P" tptp.bool)) % 0.34/0.60 (define @t435 () (tptp.hBOOL @t434)) % 0.34/0.60 (define @t436 () (not @t435)) % 0.34/0.60 (define @t437 () (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot @t434))) % 0.34/0.60 (define @t438 () (@list @t434)) % 0.34/0.60 (define @t439 () (@var "Q" tptp.bool)) % 0.34/0.60 (define @t440 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj @t434) @t439))) % 0.34/0.60 (define @t441 () (tptp.hBOOL @t439)) % 0.34/0.60 (define @t442 () (not @t441)) % 0.34/0.60 (define @t443 () (@list @t439 @t434)) % 0.34/0.60 (define @t444 () (not @t440)) % 0.34/0.60 (define @t445 () (@list @t434 @t439)) % 0.34/0.60 (define @t446 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj @t434) @t439))) % 0.34/0.60 (define @t447 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies @t434) @t439))) % 0.34/0.60 (define @t448 () (@var "Y" tptp.x_a)) % 0.34/0.60 (define @t449 () (@var "X" tptp.x_a)) % 0.34/0.60 (define @t450 () (= @t449 @t448)) % 0.34/0.60 (define @t451 () (tptp.hBOOL (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool tptp.fequal_a @t449) @t448))) % 0.34/0.60 (define @t452 () (@list @t449 @t448)) % 0.34/0.60 (define @t453 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat @t260) @t259))) % 0.34/0.60 (define @t454 () (@var "Y" tptp.pname)) % 0.34/0.60 (define @t455 () (@var "X" tptp.pname)) % 0.34/0.60 (define @t456 () (= @t455 @t454)) % 0.34/0.60 (define @t457 () (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool tptp.fequal_pname @t455) @t454))) % 0.34/0.60 (define @t458 () (@list @t455 @t454)) % 0.34/0.60 (define @t459 () (@var "Q" tptp.x_a)) % 0.34/0.60 (define @t460 () (@var "R" tptp.x_a)) % 0.34/0.60 (define @t461 () (@var "P" tptp.fun_a_fun_a_bool)) % 0.34/0.60 (define @t462 () (@var "Y" tptp.fun_a_bool)) % 0.34/0.60 (define @t463 () (@var "X" tptp.fun_a_bool)) % 0.34/0.60 (define @t464 () (= @t463 @t462)) % 0.34/0.60 (define @t465 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.fequal_fun_a_bool @t463) @t462))) % 0.34/0.60 (define @t466 () (@list @t463 @t462)) % 0.34/0.60 (define @t467 () (@var "Q" tptp.fun_a_bool)) % 0.34/0.60 (define @t468 () (tptp.hAPP_a_bool @t467 @t460)) % 0.34/0.60 (define @t469 () (@var "P" tptp.fun_bool_bool)) % 0.34/0.60 (define @t470 () (@var "P" tptp.fun_a_fun_bool_bool)) % 0.34/0.60 (define @t471 () (@var "R" tptp.pname)) % 0.34/0.60 (define @t472 () (@var "P" tptp.fun_pname_fun_a_bool)) % 0.34/0.60 (define @t473 () (@var "Y" tptp.fun_nat_bool)) % 0.34/0.60 (define @t474 () (@var "X" tptp.fun_nat_bool)) % 0.34/0.60 (define @t475 () (= @t474 @t473)) % 0.34/0.60 (define @t476 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.fequal_fun_nat_bool @t474) @t473))) % 0.34/0.60 (define @t477 () (@list @t474 @t473)) % 0.34/0.60 (define @t478 () (@var "Y" tptp.fun_pname_bool)) % 0.34/0.60 (define @t479 () (@var "X" tptp.fun_pname_bool)) % 0.34/0.60 (define @t480 () (= @t479 @t478)) % 0.34/0.60 (define @t481 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool @t479) @t478))) % 0.34/0.60 (define @t482 () (@list @t479 @t478)) % 0.34/0.60 (define @t483 () (@var "Q" tptp.nat)) % 0.34/0.60 (define @t484 () (@var "R" tptp.nat)) % 0.34/0.60 (define @t485 () (@var "P" tptp.fun_nat_fun_nat_bool)) % 0.34/0.60 (define @t486 () (@var "Q" tptp.fun_nat_bool)) % 0.34/0.60 (define @t487 () (tptp.hAPP_nat_bool @t486 @t484)) % 0.34/0.60 (define @t488 () (@var "P" tptp.fun_na1469252690l_bool)) % 0.34/0.60 (define @t489 () (@var "Q" tptp.fun_pname_bool)) % 0.34/0.60 (define @t490 () (tptp.hAPP_pname_bool @t489 @t471)) % 0.34/0.60 (define @t491 () (@var "P" tptp.fun_pn250273176l_bool)) % 0.34/0.60 (define @t492 () (@var "Q" tptp.pname)) % 0.34/0.60 (define @t493 () (@var "P" tptp.fun_pn800050071e_bool)) % 0.34/0.60 (define @t494 () (@var "P" tptp.fun_a_1255737515l_bool)) % 0.34/0.60 (define @t495 () (@var "Q" tptp.fun_pname_a)) % 0.34/0.60 (define @t496 () (@var "R" tptp.fun_a_bool)) % 0.34/0.60 (define @t497 () (@var "Q" tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (define @t498 () (tptp.hAPP_fun_a_bool_bool @t497 @t496)) % 0.34/0.60 (define @t499 () (@var "P" tptp.fun_bo1549164019l_bool)) % 0.34/0.60 (define @t500 () (@var "P" tptp.fun_fu554186387l_bool)) % 0.34/0.60 (define @t501 () (@var "P" tptp.fun_na1436237685l_bool)) % 0.34/0.60 (define @t502 () (@var "R" tptp.fun_nat_bool)) % 0.34/0.60 (define @t503 () (@var "Q" tptp.fun_fu425979586l_bool)) % 0.34/0.60 (define @t504 () (tptp.hAPP_f54304608l_bool @t503 @t502)) % 0.34/0.60 (define @t505 () (@var "P" tptp.fun_fu1016514960l_bool)) % 0.34/0.60 (define @t506 () (@var "R" tptp.fun_pname_bool)) % 0.34/0.60 (define @t507 () (@var "Q" tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (define @t508 () (tptp.hAPP_f1664156314l_bool @t507 @t506)) % 0.34/0.60 (define @t509 () (@var "P" tptp.fun_fu31783638l_bool)) % 0.34/0.60 (define @t510 () (@var "P" tptp.fun_pn422929397l_bool)) % 0.34/0.60 (define @t511 () (@var "P" tptp.fun_fu1471507361l_bool)) % 0.34/0.60 (define @t512 () (@var "P" tptp.fun_fu1217155507l_bool)) % 0.34/0.60 (define @t513 () (@var "P" tptp.fun_fu802393907l_bool)) % 0.34/0.60 (define @t514 () (@var "P" tptp.fun_fu386216885l_bool)) % 0.34/0.60 (define @t515 () (@var "P" tptp.fun_fu1436348701l_bool)) % 0.34/0.60 (define @t516 () (@var "P" tptp.fun_fu931343505l_bool)) % 0.34/0.60 (define @t517 () (@var "R" tptp.fun_fun_a_bool_bool)) % 0.34/0.60 (define @t518 () (@var "P" tptp.fun_fu418465139l_bool)) % 0.34/0.60 (define @t519 () (@var "R" tptp.fun_fu425979586l_bool)) % 0.34/0.60 (define @t520 () (@var "P" tptp.fun_fu140186515l_bool)) % 0.34/0.60 (define @t521 () (@var "R" tptp.fun_fu1430349052l_bool)) % 0.34/0.60 (define @t522 () (@var "P" tptp.fun_fu1911931399l_bool)) % 0.34/0.60 (define @t523 () (@var "Q" tptp.fun_fu885608257l_bool)) % 0.34/0.60 (define @t524 () (@var "R" tptp.fun_fu885608257l_bool)) % 0.34/0.60 (define @t525 () (@var "P" tptp.fun_fu821736593l_bool)) % 0.34/0.60 (define @t526 () (@var "Q" tptp.fun_fu814369080l_bool)) % 0.34/0.60 (define @t527 () (@var "R" tptp.fun_fu814369080l_bool)) % 0.34/0.60 (define @t528 () (@var "P" tptp.fun_fu1137991347l_bool)) % 0.34/0.60 (define @t529 () (@var "Q" tptp.fun_fu399576434l_bool)) % 0.34/0.60 (define @t530 () (@var "R" tptp.fun_fu399576434l_bool)) % 0.34/0.60 (define @t531 () (@var "P" tptp.fun_fu1086940979l_bool)) % 0.34/0.60 (define @t532 () (tptp.image_pname_a tptp.mgt_call tptp.u)) % 0.34/0.60 (define @t533 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) @t532))) % 0.34/0.60 (define @t534 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t532)) % 0.34/0.60 (define @t535 () (tptp.hAPP_nat_nat tptp.suc tptp.na)) % 0.34/0.60 (define @t536 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) % 0.34/0.60 (define @t537 () (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) % 0.34/0.60 (define @t538 () (tptp.hAPP_a85458249l_bool tptp.member_a @t537)) % 0.34/0.60 (define @t539 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a @t537 tptp.g)) @t532))) % 0.34/0.60 (define @t540 () (or @t210 @t406)) % 0.34/0.60 (define @t541 () (not (= @t314 @t314))) % 0.34/0.60 (define @t542 () (or @t541 @t210 @t406)) % 0.34/0.60 (define @t543 () (@list @t6 @t114 @t186)) % 0.34/0.60 (define @t544 () (not @t315)) % 0.34/0.60 (define @t545 () (or @t544 @t544 @t210 @t312)) % 0.34/0.60 (define @t546 () (@list @t311)) % 0.34/0.60 (define @t547 () (or @t544 @t210 @t312)) % 0.34/0.60 (define @t548 () (forall @t546 @t547)) % 0.34/0.60 (define @t549 () (forall @t543 @t548)) % 0.34/0.60 (define @t550 () (forall (@list @t6 @t114 @t186 @t311) @t547)) % 0.34/0.60 (define @t551 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t538 @t532))) % 0.34/0.60 (define @t552 () (and @t551 @t533)) % 0.34/0.60 (define @t553 () (= @t539 @t552)) % 0.34/0.60 (define @t554 () (not @t552)) % 0.34/0.60 (define @t555 () (@list true false)) % 0.34/0.60 (define @t556 () (not @t551)) % 0.34/0.60 (define @t557 () (@list false true)) % 0.34/0.60 (define @t558 () (not @t536)) % 0.34/0.60 (define @t559 () (or @t558 @t551)) % 0.34/0.60 (define @t560 () (not @t559)) % 0.34/0.60 (define @t561 () (forall @t543 @t540)) % 0.34/0.60 (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 (tptp.p @t2) @t1))))) % 0.34/0.60 (assume @p2 (forall @t5 (=> @t4 (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) @t3))))))) % 0.34/0.60 (assume @p3 (forall @t8 (=> @t7 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.ord_le313189616e_bool) @t6))))))) % 0.34/0.60 (assume @p4 (forall @t11 (=> @t10 (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) @t9))))))) % 0.34/0.60 (assume @p5 (forall (@list @t12) (=> @t13 (tptp.hBOOL (tptp.hAPP_f1295398978l_bool tptp.finite719726885l_bool (tptp.collec1874991203l_bool (tptp.hAPP_f760187903l_bool (tptp.cOMBC_1269652216l_bool tptp.ord_le65145710l_bool) @t12))))))) % 0.34/0.60 (assume @p6 (forall (@list @t14) (=> @t15 (tptp.hBOOL (tptp.hAPP_f595608956l_bool tptp.finite1491191519l_bool (tptp.collec792590109l_bool (tptp.hAPP_f1759205631l_bool (tptp.cOMBC_336095980l_bool tptp.ord_le1375671464l_bool) @t14))))))) % 0.34/0.60 (assume @p7 (forall (@list @t16) (=> @t17 (tptp.hBOOL (tptp.hAPP_f1363661463l_bool tptp.finite1343359508l_bool (tptp.collec1635217238l_bool (tptp.hAPP_f1050622307l_bool (tptp.cOMBC_636888218l_bool tptp.ord_le967226251l_bool) @t16))))))) % 0.34/0.60 (assume @p8 (forall (@list @t18) (=> @t19 (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool (tptp.collec707592106l_bool (tptp.hAPP_f1434722111l_bool (tptp.cOMBC_331553030l_bool tptp.ord_le1375614389l_bool) @t18))))))) % 0.34/0.60 (assume @p9 (forall (@list @t20) (=> @t21 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.collec1613912337l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool tptp.ord_le675606854l_bool) @t20))))))) % 0.34/0.60 (assume @p10 (forall (@list @t22) (=> @t23 (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool (tptp.collec1015864663l_bool (tptp.hAPP_f1772781669l_bool (tptp.cOMBC_595898202l_bool tptp.ord_le1454342156l_bool) @t22))))))) % 0.34/0.60 (assume @p11 (forall (@list @t25 @t24) (=> @t26 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_pname_a @t25 @t24)))))) % 0.34/0.60 (assume @p12 (forall (@list @t28 @t27) (=> @t29 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_2089570637ol_nat @t28 @t27)))))) % 0.34/0.60 (assume @p13 (forall (@list @t31 @t30) (=> @t32 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_1079571347ol_nat @t31 @t30)))))) % 0.34/0.60 (assume @p14 (forall (@list @t34 @t33) (=> @t35 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_1802975832ol_nat @t34 @t33)))))) % 0.34/0.60 (assume @p15 (forall (@list @t37 @t36) (=> @t38 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_fun_a_bool_nat @t37 @t36)))))) % 0.34/0.60 (assume @p16 (forall (@list @t40 @t39) (=> @t41 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_1551609309ol_nat @t40 @t39)))))) % 0.34/0.60 (assume @p17 (forall (@list @t43 @t42) (=> @t44 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_496248727ol_nat @t43 @t42)))))) % 0.34/0.60 (assume @p18 (forall (@list @t46 @t45) (=> @t47 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_a_nat @t46 @t45)))))) % 0.34/0.60 (assume @p19 (forall (@list @t48 @t27) (=> @t29 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1604018183_pname @t48 @t27)))))) % 0.34/0.60 (assume @p20 (forall (@list @t49 @t30) (=> @t32 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1705983821_pname @t49 @t30)))))) % 0.34/0.60 (assume @p21 (forall (@list @t50 @t33) (=> @t35 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_990671762_pname @t50 @t33)))))) % 0.34/0.60 (assume @p22 (forall (@list @t51 @t36) (=> @t38 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1854862208_pname @t51 @t36)))))) % 0.34/0.60 (assume @p23 (forall (@list @t52 @t39) (=> @t41 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1283814551_pname @t52 @t39)))))) % 0.34/0.60 (assume @p24 (forall (@list @t53 @t42) (=> @t44 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1921560913_pname @t53 @t42)))))) % 0.34/0.60 (assume @p25 (forall (@list @t54 @t45) (=> @t47 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_a_pname @t54 @t45)))))) % 0.34/0.60 (assume @p26 (forall (@list @t56 @t55) (=> @t57 (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool (tptp.image_1607900221l_bool @t56 @t55)))))) % 0.34/0.60 (assume @p27 (forall (@list @t58 @t55) (=> @t57 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.image_1874789623l_bool @t58 @t55)))))) % 0.34/0.60 (assume @p28 (forall (@list @t59 @t55) (=> @t57 (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool (tptp.image_1208015684l_bool @t59 @t55)))))) % 0.34/0.60 (assume @p29 (forall (@list @t60 @t55) (=> @t57 (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_nat_fun_a_bool @t60 @t55)))))) % 0.34/0.60 (assume @p30 (forall (@list @t61 @t55) (=> @t57 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_1655916159e_bool @t61 @t55)))))) % 0.34/0.60 (assume @p31 (forall (@list @t62 @t55) (=> @t57 (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_26036933t_bool @t62 @t55)))))) % 0.34/0.60 (assume @p32 (forall (@list @t63 @t55) (=> @t57 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_nat_a @t63 @t55)))))) % 0.34/0.60 (assume @p33 (forall (@list @t64 @t24) (=> @t26 (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool (tptp.image_1154884483l_bool @t64 @t24)))))) % 0.34/0.60 (assume @p34 (forall (@list @t65 @t24) (=> @t26 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.image_1642285373l_bool @t65 @t24)))))) % 0.34/0.60 (assume @p35 (forall (@list @t66 @t24) (=> @t26 (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool (tptp.image_1420695166l_bool @t66 @t24)))))) % 0.34/0.60 (assume @p36 (forall (@list @t67 @t24) (=> @t26 (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_112932426a_bool @t67 @t24)))))) % 0.34/0.60 (assume @p37 (forall (@list @t68 @t24) (=> @t26 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_47868345e_bool @t68 @t24)))))) % 0.34/0.60 (assume @p38 (forall (@list @t69 @t24) (=> @t26 (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_2129980159t_bool @t69 @t24)))))) % 0.34/0.60 (assume @p39 (forall (@list @t70 @t24) (=> @t26 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_pname_pname @t70 @t24)))))) % 0.34/0.60 (assume @p40 (forall (@list @t71 @t45) (=> @t47 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_a_a @t71 @t45)))))) % 0.34/0.60 (assume @p41 (forall (@list @t72 @t42) (=> @t44 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_fun_nat_bool_a @t72 @t42)))))) % 0.34/0.60 (assume @p42 (forall (@list @t73 @t39) (=> @t41 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_876012084bool_a @t73 @t39)))))) % 0.34/0.60 (assume @p43 (forall (@list @t74 @t36) (=> @t38 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_fun_a_bool_a @t74 @t36)))))) % 0.34/0.60 (assume @p44 (forall (@list @t75 @t24) (=> @t26 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_pname_nat @t75 @t24)))))) % 0.34/0.60 (assume @p45 (forall (@list @t76 @t55) (=> @t57 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_nat_pname @t76 @t55)))))) % 0.34/0.60 (assume @p46 (forall @t80 (=> @t10 @t79))) % 0.34/0.60 (assume @p47 (forall @t84 (=> @t4 @t83))) % 0.34/0.60 (assume @p48 (forall @t88 (=> @t7 @t87))) % 0.34/0.60 (assume @p49 (forall (@list @t89 @t12) (=> @t13 (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool (tptp.insert2003652156l_bool @t89 @t12)))))) % 0.34/0.60 (assume @p50 (forall (@list @t90 @t14) (=> @t15 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.insert1117693814l_bool @t90 @t14)))))) % 0.34/0.60 (assume @p51 (forall (@list @t91 @t16) (=> @t17 (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool (tptp.insert1457093509l_bool @t91 @t16)))))) % 0.34/0.60 (assume @p52 (forall @t94 (=> @t19 @t93))) % 0.34/0.60 (assume @p53 (forall @t97 (=> @t21 @t96))) % 0.34/0.60 (assume @p54 (forall @t100 (=> @t23 @t99))) % 0.34/0.60 (assume @p55 (forall (@list @t102 @t6) (=> @t7 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_pname_nat @t102 @t6))) @t101))))) % 0.34/0.60 (assume @p56 (forall (@list @t104 @t9) (=> @t10 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_a_nat @t104 @t9))) @t103))))) % 0.34/0.60 (assume @p57 (forall (@list @t106 @t22) (=> @t23 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_496248727ol_nat @t106 @t22))) @t105))))) % 0.34/0.60 (assume @p58 (forall (@list @t108 @t20) (=> @t21 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_1551609309ol_nat @t108 @t20))) @t107))))) % 0.34/0.60 (assume @p59 (forall (@list @t110 @t18) (=> @t19 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_fun_a_bool_nat @t110 @t18))) @t109))))) % 0.34/0.60 (assume @p60 (forall (@list @t111 @t9) (=> @t10 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_a_pname @t111 @t9))) @t103))))) % 0.34/0.60 (assume @p61 (forall (@list @t113 @t3) (=> @t4 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_nat_pname @t113 @t3))) @t112))))) % 0.34/0.60 (assume @p62 (forall @t116 (=> @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 @t115)) @t101))))) % 0.34/0.60 (assume @p63 (forall (@list @t117 @t12) (=> @t13 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_526090948bool_a @t117 @t12))) (tptp.hAPP_f1690079119ol_nat tptp.finite1352710292l_bool @t12)))))) % 0.34/0.60 (assume @p64 (forall (@list @t118 @t14) (=> @t15 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_349102846bool_a @t118 @t14))) (tptp.hAPP_f98387925ol_nat tptp.finite269641166l_bool @t14)))))) % 0.34/0.60 (assume @p65 (forall (@list @t119 @t16) (=> @t17 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_573985017bool_a @t119 @t16))) (tptp.hAPP_f1253658590ol_nat tptp.finite1659325229l_bool @t16)))))) % 0.34/0.60 (assume @p66 (forall (@list @t120 @t18) (=> @t19 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_fun_a_bool_a @t120 @t18))) @t109))))) % 0.34/0.60 (assume @p67 (forall (@list @t121 @t20) (=> @t21 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_876012084bool_a @t121 @t20))) @t107))))) % 0.34/0.60 (assume @p68 (forall (@list @t122 @t22) (=> @t23 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_fun_nat_bool_a @t122 @t22))) @t105))))) % 0.34/0.60 (assume @p69 (forall (@list @t123 @t9) (=> @t10 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_a_a @t123 @t9))) @t103))))) % 0.34/0.60 (assume @p70 (forall (@list @t124 @t6) (=> @t7 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_pname_pname @t124 @t6))) @t101))))) % 0.34/0.60 (assume @p71 (forall (@list @t125 @t6) (=> @t7 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.image_2129980159t_bool @t125 @t6))) @t101))))) % 0.34/0.60 (assume @p72 (forall (@list @t126 @t6) (=> @t7 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.image_47868345e_bool @t126 @t6))) @t101))))) % 0.34/0.60 (assume @p73 (forall (@list @t127 @t6) (=> @t7 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.image_112932426a_bool @t127 @t6))) @t101))))) % 0.34/0.60 (assume @p74 (forall (@list @t128 @t3) (=> @t4 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_nat_a @t128 @t3))) @t112))))) % 0.34/0.60 (assume @p75 (forall (@list @t129 @t3) (=> @t4 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.image_26036933t_bool @t129 @t3))) @t112))))) % 0.34/0.60 (assume @p76 (forall (@list @t130 @t3) (=> @t4 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.image_1655916159e_bool @t130 @t3))) @t112))))) % 0.34/0.60 (assume @p77 (forall (@list @t131 @t3) (=> @t4 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.image_nat_fun_a_bool @t131 @t3))) @t112))))) % 0.34/0.60 (assume @p78 (forall (@list @t132 @t22) (=> @t23 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_1921560913_pname @t132 @t22))) @t105))))) % 0.34/0.60 (assume @p79 (forall (@list @t133 @t20) (=> @t21 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_1283814551_pname @t133 @t20))) @t107))))) % 0.34/0.60 (assume @p80 (forall (@list @t134 @t18) (=> @t19 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_1854862208_pname @t134 @t18))) @t109))))) % 0.34/0.60 (assume @p81 (forall @t140 (=> @t139 (=> @t138 (tptp.hBOOL (tptp.hAPP_nat_bool @t137 @t136)))))) % 0.34/0.60 (assume @p82 (forall @t146 (=> @t145 (=> @t144 (tptp.hBOOL (tptp.hAPP_nat_bool @t143 @t142)))))) % 0.34/0.60 (assume @p83 (forall @t152 (=> @t151 (=> @t150 (tptp.hBOOL (tptp.hAPP_nat_bool @t149 @t148)))))) % 0.34/0.60 (assume @p84 (forall @t159 (=> @t158 (=> @t157 (tptp.hBOOL (tptp.hAPP_nat_bool @t155 @t154)))))) % 0.34/0.60 (assume @p85 (forall @t166 (=> @t165 (=> @t164 (tptp.hBOOL (tptp.hAPP_nat_bool @t162 @t161)))))) % 0.34/0.60 (assume @p86 (forall @t173 (=> @t172 (=> @t171 (tptp.hBOOL (tptp.hAPP_nat_bool @t169 @t168)))))) % 0.34/0.60 (assume @p87 (forall @t140 (=> @t139 (=> @t138 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t136) @t105)) (= @t22 @t135)))))) % 0.34/0.60 (assume @p88 (forall @t146 (=> @t145 (=> @t144 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t142) @t107)) (= @t20 @t141)))))) % 0.34/0.60 (assume @p89 (forall @t152 (=> @t151 (=> @t150 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t148) @t109)) (= @t18 @t147)))))) % 0.34/0.60 (assume @p90 (forall @t159 (=> @t158 (=> @t157 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t154) @t101)) @t174))))) % 0.34/0.60 (assume @p91 (forall @t166 (=> @t165 (=> @t164 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t161) @t103)) @t175))))) % 0.34/0.60 (assume @p92 (forall @t173 (=> @t172 (=> @t171 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t168) @t112)) @t176))))) % 0.34/0.60 (assume @p93 (forall @t179 (=> @t23 (tptp.hBOOL (tptp.hAPP_nat_bool @t137 @t178))))) % 0.34/0.60 (assume @p94 (forall @t182 (=> @t21 (tptp.hBOOL (tptp.hAPP_nat_bool @t143 @t181))))) % 0.34/0.60 (assume @p95 (forall @t185 (=> @t19 (tptp.hBOOL (tptp.hAPP_nat_bool @t149 @t184))))) % 0.34/0.60 (assume @p96 (forall @t189 (=> @t7 (tptp.hBOOL (tptp.hAPP_nat_bool @t155 @t188))))) % 0.34/0.60 (assume @p97 (forall @t193 (=> @t4 (tptp.hBOOL (tptp.hAPP_nat_bool @t169 @t192))))) % 0.34/0.60 (assume @p98 (forall @t197 (=> @t10 (tptp.hBOOL (tptp.hAPP_nat_bool @t162 @t196))))) % 0.34/0.60 (assume @p99 (forall @t179 (=> @t23 (and (=> @t198 (= @t178 @t105)) @t199)))) % 0.34/0.60 (assume @p100 (forall @t182 (=> @t21 (and (=> @t200 (= @t181 @t107)) @t201)))) % 0.34/0.60 (assume @p101 (forall @t185 (=> @t19 (and (=> @t202 (= @t184 @t109)) @t203)))) % 0.34/0.60 (assume @p102 (forall @t193 (=> @t4 (and (=> @t205 (= @t192 @t112)) @t207)))) % 0.34/0.60 (assume @p103 (forall @t189 (=> @t7 (and (=> @t209 (= @t188 @t101)) @t211)))) % 0.34/0.60 (assume @p104 (forall @t197 (=> @t10 (and (=> @t213 (= @t196 @t103)) @t215)))) % 0.34/0.60 (assume @p105 (forall @t179 (=> @t23 @t199))) % 0.34/0.60 (assume @p106 (forall @t182 (=> @t21 @t201))) % 0.34/0.60 (assume @p107 (forall @t185 (=> @t19 @t203))) % 0.34/0.60 (assume @p108 (forall @t193 (=> @t4 @t207))) % 0.34/0.60 (assume @p109 (forall @t189 (=> @t7 @t211))) % 0.34/0.60 (assume @p110 (forall @t197 (=> @t10 @t215))) % 0.34/0.60 (assume @p111 (forall (@list @t216 @t217) (=> (or @t220 @t218) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj @t217) @t216))))))) % 0.34/0.60 (assume @p112 (forall (@list @t221 @t222) (=> (or @t225 @t223) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj @t222) @t221))))))) % 0.34/0.60 (assume @p113 (forall (@list @t226 @t227) (=> (or @t230 @t228) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj @t227) @t226))))))) % 0.34/0.60 (assume @p114 (forall (@list @t231 @t232) (=> (or @t235 @t233) (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 @t232) @t231))))))) % 0.34/0.60 (assume @p115 (forall (@list @t236 @t237) (=> (or @t240 @t238) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj @t237) @t236))))))) % 0.34/0.60 (assume @p116 (forall (@list @t241 @t242) (=> (or @t245 @t243) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj @t242) @t241))))))) % 0.34/0.60 (assume @p117 (forall (@list @t246 @t247) (=> @t254 (= @t252 (tptp.hAPP_nat_nat tptp.suc @t249))))) % 0.34/0.60 (assume @p118 (forall (@list @t255) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool @t256 @t255)))))) % 0.34/0.60 (assume @p119 (forall (@list @t257) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool @t256 @t257))) @t258))) % 0.34/0.60 (assume @p120 (forall @t262 (=> (= (tptp.hAPP_nat_nat tptp.suc @t260) (tptp.hAPP_nat_nat tptp.suc @t259)) @t261))) % 0.34/0.60 (assume @p121 (forall (@list @t264 @t263) (= (= (tptp.hAPP_nat_nat tptp.suc @t264) (tptp.hAPP_nat_nat tptp.suc @t263)) (= @t264 @t263)))) % 0.34/0.60 (assume @p122 (forall @t266 (not (= @t265 @t246)))) % 0.34/0.60 (assume @p123 (forall @t266 (not (= @t246 @t265)))) % 0.34/0.60 (assume @p124 (forall @t270 (=> @t269 (=> @t254 @t267)))) % 0.34/0.60 (assume @p125 (forall (@list @t271 @t272 @t274) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t273 @t274)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t274) @t271)) (tptp.hBOOL (tptp.hAPP_nat_bool @t273 @t271)))))) % 0.34/0.60 (assume @p126 (forall @t270 (=> @t267 @t269))) % 0.34/0.60 (assume @p127 (forall @t270 (or @t269 @t254))) % 0.34/0.60 (assume @p128 (forall @t266 (tptp.hBOOL (tptp.hAPP_nat_bool @t253 @t246)))) % 0.34/0.60 (assume @p129 (forall (@list @t272 @t274 @t271) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat @t275 @t274)) @t271) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat @t275 @t271)) @t274)))) % 0.34/0.60 (assume @p130 (forall (@list @t237 @t236) (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj @t237) @t236)))) (and @t240 @t238)))) % 0.34/0.60 (assume @p131 (forall (@list @t217 @t216) (= (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj @t217) @t216)))) (and @t220 @t218)))) % 0.34/0.60 (assume @p132 (forall (@list @t222 @t221) (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj @t222) @t221)))) (and @t225 @t223)))) % 0.34/0.60 (assume @p133 (forall (@list @t227 @t226) (= (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj @t227) @t226)))) (and @t230 @t228)))) % 0.34/0.60 (assume @p134 (forall (@list @t242 @t241) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj @t242) @t241)))) (and @t245 @t243)))) % 0.34/0.60 (assume @p135 (forall (@list @t232 @t231) (= (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 @t232) @t231)))) (and @t235 @t233)))) % 0.34/0.60 (assume @p136 (forall @t84 (= @t83 @t4))) % 0.34/0.60 (assume @p137 (forall @t88 (= @t87 @t7))) % 0.34/0.60 (assume @p138 (forall @t80 (= @t79 @t10))) % 0.34/0.60 (assume @p139 (forall @t100 (= @t99 @t23))) % 0.34/0.60 (assume @p140 (forall @t97 (= @t96 @t21))) % 0.34/0.60 (assume @p141 (forall @t94 (= @t93 @t19))) % 0.34/0.60 (assume @p142 (forall @t140 (=> @t138 (=> @t139 @t23)))) % 0.34/0.60 (assume @p143 (forall @t146 (=> @t144 (=> @t145 @t21)))) % 0.34/0.60 (assume @p144 (forall @t166 (=> @t164 (=> @t165 @t10)))) % 0.34/0.60 (assume @p145 (forall @t152 (=> @t150 (=> @t151 @t19)))) % 0.34/0.60 (assume @p146 (forall @t173 (=> @t171 (=> @t172 @t4)))) % 0.34/0.60 (assume @p147 (forall @t159 (=> @t157 (=> @t158 @t7)))) % 0.34/0.60 (assume @p148 (forall @t140 (=> @t139 (=> @t138 @t23)))) % 0.34/0.60 (assume @p149 (forall @t146 (=> @t145 (=> @t144 @t21)))) % 0.34/0.60 (assume @p150 (forall @t166 (=> @t165 (=> @t164 @t10)))) % 0.34/0.60 (assume @p151 (forall @t152 (=> @t151 (=> @t150 @t19)))) % 0.34/0.60 (assume @p152 (forall @t173 (=> @t172 (=> @t171 @t4)))) % 0.34/0.60 (assume @p153 (forall @t159 (=> @t158 (=> @t157 @t7)))) % 0.34/0.60 (assume @p154 (forall @t270 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t250) @t246)) @t269))) % 0.34/0.60 (assume @p155 (forall @t270 (=> @t276 (=> (not @t269) (= @t247 @t265))))) % 0.34/0.60 (assume @p156 (forall @t270 (=> @t269 @t276))) % 0.34/0.60 (assume @p157 (forall (@list @t257 @t277) (= (tptp.hBOOL (tptp.hAPP_nat_bool @t279 (tptp.hAPP_nat_nat tptp.suc @t277))) (tptp.hBOOL (tptp.hAPP_nat_bool @t278 @t277))))) % 0.34/0.60 (assume @p158 (forall @t282 (= (tptp.hBOOL (tptp.hAPP_nat_bool @t280 @t258)) (or @t281 (= @t277 @t258))))) % 0.34/0.60 (assume @p159 (forall @t282 (= (not @t281) (tptp.hBOOL (tptp.hAPP_nat_bool @t279 @t277))))) % 0.34/0.60 (assume @p160 (forall @t266 (not (tptp.hBOOL (tptp.hAPP_nat_bool @t283 @t246))))) % 0.34/0.60 (assume @p161 (forall (@list @t247 @t246 @t271) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t252) (tptp.hAPP_nat_nat tptp.suc @t271)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t249) @t271)))) % 0.34/0.60 (assume @p162 (forall @t270 (= (tptp.hAPP_nat_nat @t251 @t265) @t249))) % 0.34/0.60 (assume @p163 (forall @t289 (=> @t288 (=> @t287 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t285) @t284)) @t281))))) % 0.34/0.60 (assume @p164 (forall (@list @t246 @t271 @t247) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t291 @t247)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t291 @t246)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat @t248 @t271)) (tptp.hAPP_nat_nat @t290 @t271)) @t249))))) % 0.34/0.60 (assume @p165 (forall @t289 (=> @t288 (=> @t287 (= (= @t285 @t284) (= @t277 @t257)))))) % 0.34/0.60 (assume @p166 (forall (@list @t272 @t246) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t273 @t246)) (= (tptp.hAPP_nat_nat @t290 (tptp.hAPP_nat_nat @t290 @t272)) @t272)))) % 0.34/0.60 (assume @p167 (forall @t293 (=> @t269 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t248 @t292)) (tptp.hAPP_nat_nat @t290 @t292)))))) % 0.34/0.60 (assume @p168 (forall @t293 (=> @t269 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t294 @t246)) (tptp.hAPP_nat_nat @t294 @t247)))))) % 0.34/0.60 (assume @p169 (forall @t270 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t249) @t247)))) % 0.34/0.60 (assume @p170 (forall @t297 (=> @t7 (=> @t296 @t165)))) % 0.34/0.60 (assume @p171 (forall (@list @t114 @t6 @t160) (=> @t165 (=> @t296 (exists (@list @t298) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t298) @t6)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t298)) (= @t160 (tptp.image_pname_a @t114 @t298)))))))) % 0.34/0.60 (assume @p172 (forall (@list @t257 @t299 @t129) (=> (forall @t303 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool @t129 @t301)) (tptp.hAPP_n1699378549t_bool @t129 @t302)))) (=> @t300 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool @t129 @t257)) (tptp.hAPP_n1699378549t_bool @t129 @t299))))))) % 0.34/0.60 (assume @p173 (forall (@list @t257 @t299 @t130) (=> (forall @t303 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_n1025906991e_bool @t130 @t301)) (tptp.hAPP_n1025906991e_bool @t130 @t302)))) (=> @t300 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_n1025906991e_bool @t130 @t257)) (tptp.hAPP_n1025906991e_bool @t130 @t299))))))) % 0.34/0.60 (assume @p174 (forall (@list @t257 @t299 @t304) (=> (forall @t303 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t304 @t301)) (tptp.hAPP_nat_nat @t304 @t302)))) (=> @t300 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t304 @t257)) (tptp.hAPP_nat_nat @t304 @t299))))))) % 0.34/0.60 (assume @p175 (forall (@list @t257 @t299 @t131) (=> (forall @t303 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_nat_fun_a_bool @t131 @t301)) (tptp.hAPP_nat_fun_a_bool @t131 @t302)))) (=> @t300 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_nat_fun_a_bool @t131 @t257)) (tptp.hAPP_nat_fun_a_bool @t131 @t299))))))) % 0.34/0.60 (assume @p176 (forall @t116 (=> (not @t7) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t115)) (exists @t310 (and @t309 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_f759274231e_bool @t307 @t6)) (tptp.hAPP_a93125764e_bool (tptp.cOMBC_pname_a_bool (tptp.cOMBB_1897541054_pname tptp.fequal_a @t114)) @t306)))))))))))) % 0.34/0.60 (assume @p177 @t317) % 0.34/0.60 (assume @p178 (forall @t173 (=> @t171 (=> @t319 @t176)))) % 0.34/0.60 (assume @p179 (forall @t159 (=> @t157 (=> @t321 @t174)))) % 0.34/0.60 (assume @p180 (forall @t166 (=> @t164 (=> @t322 @t175)))) % 0.34/0.60 (assume @p181 (forall (@list @t323 @t3 @t167) (=> @t171 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t324 @t3)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t324 @t167)))))) % 0.34/0.60 (assume @p182 (forall (@list @t325 @t9 @t160) (=> @t164 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t326 @t9)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t326 @t160)))))) % 0.34/0.60 (assume @p183 (forall (@list @t327 @t6 @t153) (=> @t157 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t328 @t6)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t328 @t153)))))) % 0.34/0.60 (assume @p184 (forall @t335 (=> (=> (not @t334) @t333) @t332))) % 0.34/0.60 (assume @p185 (forall @t342 (=> (=> (not @t341) @t340) @t339))) % 0.34/0.60 (assume @p186 (forall @t348 (=> (=> (not @t347) @t346) @t345))) % 0.34/0.60 (assume @p187 (forall @t351 (=> @t350 (=> (not @t333) @t349)))) % 0.34/0.60 (assume @p188 (forall @t354 (=> @t353 (=> (not @t340) @t352)))) % 0.34/0.60 (assume @p189 (forall @t357 (=> @t356 (=> (not @t346) @t355)))) % 0.34/0.60 (assume @p190 (forall @t359 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t331 @t358)))) % 0.34/0.60 (assume @p191 (forall @t361 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t338 @t360)))) % 0.34/0.60 (assume @p192 (forall @t363 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t344 @t362)))) % 0.34/0.60 (assume @p193 (forall @t359 (= @t358 (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj @t366) (tptp.hAPP_f800510211t_bool @t364 @t167)))))) % 0.34/0.60 (assume @p194 (forall @t361 (= @t360 (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj @t368) (tptp.hAPP_f759274231e_bool @t307 @t153)))))) % 0.34/0.60 (assume @p195 (forall @t363 (= @t362 (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fdisj @t371) (tptp.hAPP_f2050579477a_bool @t369 @t160)))))) % 0.34/0.60 (assume @p196 (forall (@list @t98 @t135) (= (tptp.insert_fun_nat_bool @t98 @t135) (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj @t374) (tptp.hAPP_f1246832597l_bool @t372 @t135)))))) % 0.34/0.60 (assume @p197 (forall (@list @t95 @t141) (= (tptp.insert1325755072e_bool @t95 @t141) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj @t377) (tptp.hAPP_f559147733l_bool @t375 @t141)))))) % 0.34/0.60 (assume @p198 (forall (@list @t92 @t147) (= (tptp.insert_fun_a_bool @t92 @t147) (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj @t380) (tptp.hAPP_f2117159681l_bool @t378 @t147)))))) % 0.34/0.60 (assume @p199 (forall (@list @t81 @t242) (= (tptp.insert_nat @t81 @t244) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fimplies (tptp.cOMBB_bool_bool_nat tptp.fNot @t366)) @t242))))) % 0.34/0.60 (assume @p200 (forall (@list @t85 @t237) (= (tptp.insert_pname @t85 @t239) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fimplies (tptp.cOMBB_647938656_pname tptp.fNot @t368)) @t237))))) % 0.34/0.60 (assume @p201 (forall (@list @t77 @t232) (= (tptp.insert_a @t77 @t234) (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fimplies (tptp.cOMBB_bool_bool_a tptp.fNot @t371)) @t232))))) % 0.34/0.60 (assume @p202 (forall (@list @t98 @t217) (= (tptp.insert_fun_nat_bool @t98 @t219) (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fimplies (tptp.cOMBB_238756964t_bool tptp.fNot @t374)) @t217))))) % 0.34/0.60 (assume @p203 (forall (@list @t95 @t222) (= (tptp.insert1325755072e_bool @t95 @t224) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fimplies (tptp.cOMBB_307249310e_bool tptp.fNot @t377)) @t222))))) % 0.34/0.60 (assume @p204 (forall (@list @t92 @t227) (= (tptp.insert_fun_a_bool @t92 @t229) (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fimplies (tptp.cOMBB_2140588453a_bool tptp.fNot @t380)) @t227))))) % 0.34/0.60 (assume @p205 (forall @t193 (= (tptp.insert_nat @t190 @t191) @t191))) % 0.34/0.60 (assume @p206 (forall @t189 (= (tptp.insert_pname @t186 @t187) @t187))) % 0.34/0.60 (assume @p207 (forall @t197 (= (tptp.insert_a @t194 @t195) @t195))) % 0.34/0.60 (assume @p208 (forall (@list @t190 @t381 @t3) (= (tptp.insert_nat @t190 @t382) (tptp.insert_nat @t381 @t191)))) % 0.34/0.60 (assume @p209 (forall (@list @t186 @t383 @t6) (= (tptp.insert_pname @t186 @t384) (tptp.insert_pname @t383 @t187)))) % 0.34/0.60 (assume @p210 (forall (@list @t194 @t385 @t9) (= (tptp.insert_a @t194 @t386) (tptp.insert_a @t385 @t195)))) % 0.34/0.60 (assume @p211 (forall @t351 (= @t350 (or @t333 @t349)))) % 0.34/0.60 (assume @p212 (forall @t354 (= @t353 (or @t340 @t352)))) % 0.34/0.60 (assume @p213 (forall @t357 (= @t356 (or @t346 @t355)))) % 0.34/0.60 (assume @p214 (forall (@list @t381 @t3 @t190) (= (tptp.hBOOL (tptp.hAPP_nat_bool @t382 @t190)) (or (= @t381 @t190) @t387)))) % 0.34/0.60 (assume @p215 (forall (@list @t383 @t6 @t186) (= (tptp.hBOOL (tptp.hAPP_pname_bool @t384 @t186)) (or (= @t383 @t186) @t388)))) % 0.34/0.60 (assume @p216 (forall (@list @t385 @t9 @t194) (= (tptp.hBOOL (tptp.hAPP_a_bool @t386 @t194)) (or (= @t385 @t194) @t389)))) % 0.34/0.60 (assume @p217 (forall @t392 (=> @t206 (=> (not @t391) (= (= @t191 @t390) @t176))))) % 0.34/0.60 (assume @p218 (forall @t395 (=> @t210 (=> (not @t394) (= (= @t187 @t393) @t174))))) % 0.34/0.60 (assume @p219 (forall @t398 (=> @t214 (=> (not @t397) (= (= @t195 @t396) @t175))))) % 0.34/0.60 (assume @p220 (forall @t335 (=> @t334 @t332))) % 0.34/0.60 (assume @p221 (forall @t342 (=> @t341 @t339))) % 0.34/0.60 (assume @p222 (forall @t348 (=> @t347 @t345))) % 0.34/0.60 (assume @p223 (forall @t84 (=> @t349 (= @t82 @t3)))) % 0.34/0.60 (assume @p224 (forall @t88 (=> @t352 (= @t86 @t6)))) % 0.34/0.60 (assume @p225 (forall @t80 (=> @t355 (= @t78 @t9)))) % 0.34/0.60 (assume @p226 (forall @t5 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t170 @t3)))) % 0.34/0.60 (assume @p227 (forall @t8 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t156 @t6)))) % 0.34/0.60 (assume @p228 (forall @t11 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t163 @t9)))) % 0.34/0.60 (assume @p229 (forall @t173 (= @t176 (and @t171 @t319)))) % 0.34/0.60 (assume @p230 (forall @t159 (= @t174 (and @t157 @t321)))) % 0.34/0.60 (assume @p231 (forall @t166 (= @t175 (and @t164 @t322)))) % 0.34/0.60 (assume @p232 (forall @t173 (=> @t176 @t171))) % 0.34/0.60 (assume @p233 (forall @t159 (=> @t174 @t157))) % 0.34/0.60 (assume @p234 (forall @t166 (=> @t175 @t164))) % 0.34/0.60 (assume @p235 (forall @t173 (=> @t176 @t319))) % 0.34/0.60 (assume @p236 (forall @t159 (=> @t174 @t321))) % 0.34/0.60 (assume @p237 (forall @t166 (=> @t175 @t322))) % 0.34/0.60 (assume @p238 (forall @t399 (=> @t171 (=> @t205 @t391)))) % 0.34/0.60 (assume @p239 (forall @t400 (=> @t164 (=> @t213 @t397)))) % 0.34/0.60 (assume @p240 (forall @t401 (=> @t157 (=> @t209 @t394)))) % 0.34/0.60 (assume @p241 (forall @t392 (=> @t205 (=> @t171 @t391)))) % 0.34/0.60 (assume @p242 (forall @t398 (=> @t213 (=> @t164 @t397)))) % 0.34/0.60 (assume @p243 (forall @t395 (=> @t209 (=> @t157 @t394)))) % 0.34/0.60 (assume @p244 (forall (@list @t402 @t3 @t167) (=> @t171 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t318 @t402)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t170 @t402)))))) % 0.34/0.60 (assume @p245 (forall (@list @t403 @t6 @t153) (=> @t157 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t320 @t403)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t156 @t403)))))) % 0.34/0.60 (assume @p246 (forall (@list @t404 @t9 @t160) (=> @t164 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t295 @t404)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t163 @t404)))))) % 0.34/0.60 (assume @p247 (forall @t173 (=> @t176 (not (=> @t171 (not @t319)))))) % 0.34/0.60 (assume @p248 (forall @t159 (=> @t174 (not (=> @t157 (not @t321)))))) % 0.34/0.60 (assume @p249 (forall @t166 (=> @t175 (not (=> @t164 (not @t322)))))) % 0.34/0.60 (assume @p250 (forall @t193 (= @t205 @t387))) % 0.34/0.60 (assume @p251 (forall @t197 (= @t213 @t389))) % 0.34/0.60 (assume @p252 (forall @t189 (= @t209 @t388))) % 0.34/0.60 (assume @p253 (forall (@list @t237) (= @t239 @t237))) % 0.34/0.60 (assume @p254 (forall (@list @t217) (= @t219 @t217))) % 0.34/0.60 (assume @p255 (forall (@list @t222) (= @t224 @t222))) % 0.34/0.60 (assume @p256 (forall (@list @t227) (= @t229 @t227))) % 0.34/0.60 (assume @p257 (forall (@list @t242) (= @t244 @t242))) % 0.34/0.60 (assume @p258 (forall (@list @t405 @t114 @t6) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t405) @t115)) (exists @t310 (and @t309 (= @t405 @t306)))))) % 0.34/0.60 (assume @p259 (forall @t407 (=> @t209 @t406))) % 0.34/0.60 (assume @p260 (forall (@list @t311 @t114 @t186 @t6) (=> @t209 (=> @t315 @t312)))) % 0.34/0.60 (assume @p261 (forall (@list @t409 @t408) (= (tptp.insert_nat @t409 @t408) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj (tptp.hAPP_n1699378549t_bool @t365 @t409)) (tptp.hAPP_f800510211t_bool @t364 @t408)))))) % 0.34/0.60 (assume @p262 (forall (@list @t305 @t410) (= (tptp.insert_pname @t305 @t410) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj (tptp.hAPP_p61793385e_bool @t367 @t305)) (tptp.hAPP_f759274231e_bool @t307 @t410)))))) % 0.34/0.60 (assume @p263 (forall (@list @t412 @t411) (= (tptp.insert_a @t412 @t411) (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fdisj (tptp.hAPP_a_fun_a_bool @t370 @t412)) (tptp.hAPP_f2050579477a_bool @t369 @t411)))))) % 0.34/0.60 (assume @p264 (forall (@list @t414 @t413) (= (tptp.insert_fun_nat_bool @t414 @t413) (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj (tptp.hAPP_f103356543l_bool @t373 @t414)) (tptp.hAPP_f1246832597l_bool @t372 @t413)))))) % 0.34/0.60 (assume @p265 (forall (@list @t416 @t415) (= (tptp.insert1325755072e_bool @t416 @t415) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj (tptp.hAPP_f434788991l_bool @t376 @t416)) (tptp.hAPP_f559147733l_bool @t375 @t415)))))) % 0.34/0.60 (assume @p266 (forall (@list @t418 @t417) (= (tptp.insert_fun_a_bool @t418 @t417) (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj (tptp.hAPP_f1631501043l_bool @t379 @t418)) (tptp.hAPP_f2117159681l_bool @t378 @t417)))))) % 0.34/0.60 (assume @p267 (forall (@list @t167 @t81) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t318 @t358)))) % 0.34/0.60 (assume @p268 (forall (@list @t153 @t85) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t320 @t360)))) % 0.34/0.60 (assume @p269 (forall (@list @t160 @t77) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t295 @t362)))) % 0.34/0.60 (assume @p270 (forall @t399 (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t191) @t167)) (and @t391 @t171)))) % 0.34/0.60 (assume @p271 (forall @t401 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t187) @t153)) (and @t394 @t157)))) % 0.34/0.60 (assume @p272 (forall @t400 (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t195) @t160)) (and @t397 @t164)))) % 0.34/0.60 (assume @p273 (forall @t392 (=> @t206 (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t170 @t390)) @t171)))) % 0.34/0.60 (assume @p274 (forall @t395 (=> @t210 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t156 @t393)) @t157)))) % 0.34/0.60 (assume @p275 (forall @t398 (=> @t214 (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t163 @t396)) @t164)))) % 0.34/0.60 (assume @p276 (forall (@list @t329 @t3 @t167) (=> @t171 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t170 @t330))))) % 0.34/0.60 (assume @p277 (forall (@list @t336 @t6 @t153) (=> @t157 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t156 @t337))))) % 0.34/0.60 (assume @p278 (forall (@list @t311 @t9 @t160) (=> @t164 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t163 @t343))))) % 0.34/0.60 (assume @p279 (forall (@list @t81 @t402 @t419) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t402) @t419)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.insert_nat @t81 @t402)) (tptp.insert_nat @t81 @t419)))))) % 0.34/0.60 (assume @p280 (forall (@list @t85 @t403 @t420) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t403) @t420)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.insert_pname @t85 @t403)) (tptp.insert_pname @t85 @t420)))))) % 0.34/0.60 (assume @p281 (forall (@list @t77 @t404 @t421) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t404) @t421)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a @t77 @t404)) (tptp.insert_a @t77 @t421)))))) % 0.34/0.60 (assume @p282 (forall (@list @t114 @t85 @t153) (= (tptp.image_pname_a @t114 @t360) (tptp.insert_a (tptp.hAPP_pname_a @t114 @t85) @t422)))) % 0.34/0.60 (assume @p283 (forall @t407 (=> @t209 (= (tptp.insert_a @t314 @t115) @t115)))) % 0.34/0.60 (assume @p284 (forall @t297 (= @t296 (exists (@list @t423) (and (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t423) @t6)) (= @t160 (tptp.image_pname_a @t114 @t423))))))) % 0.34/0.60 (assume @p285 (forall (@list @t114 @t6 @t153) (=> @t157 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t424 @t422))))) % 0.34/0.60 (assume @p286 (forall (@list @t311 @t114 @t6) (=> @t312 (not (forall @t310 (=> (= @t311 @t306) (not @t309))))))) % 0.34/0.60 (assume @p287 (forall (@list @t167 @t3) (=> (forall @t426 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t425 @t3)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t425 @t167)))) @t171))) % 0.34/0.60 (assume @p288 (forall (@list @t160 @t9) (=> (forall (@list @t412) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t427 @t9)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t427 @t160)))) @t164))) % 0.34/0.60 (assume @p289 (forall (@list @t153 @t6) (=> (forall @t310 (=> @t309 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t308 @t153)))) @t157))) % 0.34/0.60 (assume @p290 (forall (@list @t428 @t242 @t255) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t242 @t255)) (=> (forall @t303 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t242 @t302)) (tptp.hBOOL (tptp.hAPP_nat_bool @t242 @t301)))) (tptp.hBOOL (tptp.hAPP_nat_bool @t242 (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t255) @t428))))))) % 0.34/0.60 (assume @p291 (forall (@list @t246 @t430) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t283 @t430)) (exists @t431 (= @t430 (tptp.hAPP_nat_nat tptp.suc @t429)))))) % 0.34/0.60 (assume @p292 (forall (@list @t114 @t160 @t6) (=> (forall @t310 (=> @t309 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t306) @t160)))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t424 @t160))))) % 0.34/0.60 (assume @p293 (forall (@list @t177) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t177) @t177)))) % 0.34/0.60 (assume @p294 (forall (@list @t180) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t180) @t180)))) % 0.34/0.60 (assume @p295 (forall (@list @t432) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t432) @t432)))) % 0.34/0.60 (assume @p296 (forall (@list @t183) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t183) @t183)))) % 0.34/0.60 (assume @p297 (forall (@list @t433) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t433)) (exists @t431 (forall @t426 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t425 @t433)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t409) @t429)))))))) % 0.34/0.60 (assume @p298 (forall @t438 (or (not @t437) @t436))) % 0.34/0.60 (assume @p299 (forall @t438 (or @t435 @t437))) % 0.34/0.60 (assume @p300 (forall @t443 (or @t436 @t442 @t440))) % 0.34/0.60 (assume @p301 (forall @t445 (or @t444 @t435))) % 0.34/0.60 (assume @p302 (forall @t445 (or @t444 @t441))) % 0.34/0.60 (assume @p303 (forall @t443 (or @t436 @t446))) % 0.34/0.60 (assume @p304 (forall @t445 (or @t442 @t446))) % 0.34/0.60 (assume @p305 (forall @t445 (or (not @t446) @t435 @t441))) % 0.34/0.60 (assume @p306 (forall @t443 (or @t435 @t447))) % 0.34/0.60 (assume @p307 (forall @t445 (or @t442 @t447))) % 0.34/0.60 (assume @p308 (forall @t445 (or (not @t447) @t436 @t441))) % 0.34/0.60 (assume @p309 (forall @t452 (or (not @t451) @t450))) % 0.34/0.60 (assume @p310 (forall @t452 (or (not @t450) @t451))) % 0.34/0.60 (assume @p311 (forall @t262 (or (not @t453) @t261))) % 0.34/0.60 (assume @p312 (forall @t262 (or (not @t261) @t453))) % 0.34/0.60 (assume @p313 (forall @t458 (or (not @t457) @t456))) % 0.34/0.60 (assume @p314 (forall @t458 (or (not @t456) @t457))) % 0.34/0.60 (assume @p315 (forall (@list @t461 @t459 @t460) (= (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool @t461) @t459) @t460) (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool @t461 @t460) @t459)))) % 0.34/0.60 (assume @p316 (forall @t466 (or (not @t465) @t464))) % 0.34/0.60 (assume @p317 (forall @t466 (or (not @t464) @t465))) % 0.34/0.60 (assume @p318 (forall (@list @t469 @t467 @t460) (= (tptp.hAPP_a_bool (tptp.cOMBB_bool_bool_a @t469 @t467) @t460) (tptp.hAPP_bool_bool @t469 @t468)))) % 0.34/0.60 (assume @p319 (forall (@list @t470 @t467 @t460) (= (tptp.hAPP_a_bool (tptp.cOMBS_a_bool_bool @t470 @t467) @t460) (tptp.hAPP_bool_bool (tptp.hAPP_a_fun_bool_bool @t470 @t460) @t468)))) % 0.34/0.60 (assume @p320 (forall (@list @t472 @t459 @t471) (= (tptp.hAPP_pname_bool (tptp.hAPP_a93125764e_bool (tptp.cOMBC_pname_a_bool @t472) @t459) @t471) (tptp.hAPP_a_bool (tptp.hAPP_p1534023578a_bool @t472 @t471) @t459)))) % 0.34/0.60 (assume @p321 (forall @t477 (or (not @t476) @t475))) % 0.34/0.60 (assume @p322 (forall @t477 (or (not @t475) @t476))) % 0.34/0.60 (assume @p323 (forall @t482 (or (not @t481) @t480))) % 0.34/0.60 (assume @p324 (forall @t482 (or (not @t480) @t481))) % 0.34/0.60 (assume @p325 (forall (@list @t485 @t483 @t484) (= (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool @t485) @t483) @t484) (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool @t485 @t484) @t483)))) % 0.34/0.60 (assume @p326 (forall (@list @t469 @t486 @t484) (= (tptp.hAPP_nat_bool (tptp.cOMBB_bool_bool_nat @t469 @t486) @t484) (tptp.hAPP_bool_bool @t469 @t487)))) % 0.34/0.60 (assume @p327 (forall (@list @t488 @t486 @t484) (= (tptp.hAPP_nat_bool (tptp.cOMBS_nat_bool_bool @t488 @t486) @t484) (tptp.hAPP_bool_bool (tptp.hAPP_n1006566506l_bool @t488 @t484) @t487)))) % 0.34/0.60 (assume @p328 (forall (@list @t469 @t489 @t471) (= (tptp.hAPP_pname_bool (tptp.cOMBB_647938656_pname @t469 @t489) @t471) (tptp.hAPP_bool_bool @t469 @t490)))) % 0.34/0.60 (assume @p329 (forall (@list @t491 @t489 @t471) (= (tptp.hAPP_pname_bool (tptp.cOMBS_568398431l_bool @t491 @t489) @t471) (tptp.hAPP_bool_bool (tptp.hAPP_p393069232l_bool @t491 @t471) @t490)))) % 0.34/0.60 (assume @p330 (forall (@list @t493 @t492 @t471) (= (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool @t493) @t492) @t471) (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool @t493 @t471) @t492)))) % 0.34/0.60 (assume @p331 (forall (@list @t494 @t467 @t460) (= (tptp.hAPP_a_bool (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool @t494) @t467) @t460) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool @t494 @t460) @t467)))) % 0.34/0.60 (assume @p332 (forall (@list @t461 @t495 @t471) (= (tptp.hAPP_p1534023578a_bool (tptp.cOMBB_1897541054_pname @t461 @t495) @t471) (tptp.hAPP_a_fun_a_bool @t461 (tptp.hAPP_pname_a @t495 @t471))))) % 0.34/0.60 (assume @p333 (forall (@list @t469 @t497 @t496) (= (tptp.hAPP_fun_a_bool_bool (tptp.cOMBB_2140588453a_bool @t469 @t497) @t496) (tptp.hAPP_bool_bool @t469 @t498)))) % 0.34/0.60 (assume @p334 (forall (@list @t499 @t467 @t460) (= (tptp.hAPP_a_fun_bool_bool (tptp.cOMBB_1972296269bool_a @t499 @t467) @t460) (tptp.hAPP_b589554111l_bool @t499 @t468)))) % 0.34/0.60 (assume @p335 (forall (@list @t500 @t497 @t496) (= (tptp.hAPP_fun_a_bool_bool (tptp.cOMBS_1035972772l_bool @t500 @t497) @t496) (tptp.hAPP_bool_bool (tptp.hAPP_f198738859l_bool @t500 @t496) @t498)))) % 0.34/0.60 (assume @p336 (forall (@list @t501 @t486 @t484) (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool @t501) @t486) @t484) (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool @t501 @t484) @t486)))) % 0.34/0.60 (assume @p337 (forall (@list @t469 @t503 @t502) (= (tptp.hAPP_f54304608l_bool (tptp.cOMBB_238756964t_bool @t469 @t503) @t502) (tptp.hAPP_bool_bool @t469 @t504)))) % 0.34/0.60 (assume @p338 (forall (@list @t499 @t486 @t484) (= (tptp.hAPP_n1006566506l_bool (tptp.cOMBB_1015721476ol_nat @t499 @t486) @t484) (tptp.hAPP_b589554111l_bool @t499 @t487)))) % 0.34/0.60 (assume @p339 (forall (@list @t505 @t503 @t502) (= (tptp.hAPP_f54304608l_bool (tptp.cOMBS_1187019125l_bool @t505 @t503) @t502) (tptp.hAPP_bool_bool (tptp.hAPP_f1748468828l_bool @t505 @t502) @t504)))) % 0.34/0.60 (assume @p340 (forall (@list @t469 @t507 @t506) (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBB_307249310e_bool @t469 @t507) @t506) (tptp.hAPP_bool_bool @t469 @t508)))) % 0.34/0.60 (assume @p341 (forall (@list @t499 @t489 @t471) (= (tptp.hAPP_p393069232l_bool (tptp.cOMBB_675860798_pname @t499 @t489) @t471) (tptp.hAPP_b589554111l_bool @t499 @t490)))) % 0.34/0.60 (assume @p342 (forall (@list @t509 @t507 @t506) (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBS_350070575l_bool @t509 @t507) @t506) (tptp.hAPP_bool_bool (tptp.hAPP_f1476298914l_bool @t509 @t506) @t508)))) % 0.34/0.60 (assume @p343 (forall (@list @t510 @t489 @t471) (= (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool @t510) @t489) @t471) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool @t510 @t471) @t489)))) % 0.34/0.60 (assume @p344 (forall (@list @t511 @t467 @t496) (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool (tptp.cOMBC_1732670874l_bool @t511) @t467) @t496) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool @t511 @t496) @t467)))) % 0.34/0.60 (assume @p345 (forall (@list @t499 @t497 @t496) (= (tptp.hAPP_f198738859l_bool (tptp.cOMBB_338059395a_bool @t499 @t497) @t496) (tptp.hAPP_b589554111l_bool @t499 @t498)))) % 0.34/0.60 (assume @p346 (forall (@list @t512 @t486 @t502) (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool (tptp.cOMBC_1693257480l_bool @t512) @t486) @t502) (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool @t512 @t502) @t486)))) % 0.34/0.60 (assume @p347 (forall (@list @t499 @t503 @t502) (= (tptp.hAPP_f1748468828l_bool (tptp.cOMBB_444170502t_bool @t499 @t503) @t502) (tptp.hAPP_b589554111l_bool @t499 @t504)))) % 0.34/0.60 (assume @p348 (forall (@list @t499 @t507 @t506) (= (tptp.hAPP_f1476298914l_bool (tptp.cOMBB_2095475776e_bool @t499 @t507) @t506) (tptp.hAPP_b589554111l_bool @t499 @t508)))) % 0.34/0.60 (assume @p349 (forall (@list @t513 @t489 @t506) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool @t513) @t489) @t506) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool @t513 @t506) @t489)))) % 0.34/0.60 (assume @p350 (forall (@list @t514 @t497 @t496) (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f2117159681l_bool (tptp.cOMBC_1880041174l_bool @t514) @t497) @t496) (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool @t514 @t496) @t497)))) % 0.34/0.60 (assume @p351 (forall (@list @t515 @t503 @t502) (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_f1246832597l_bool (tptp.cOMBC_1245412066l_bool @t515) @t503) @t502) (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool @t515 @t502) @t503)))) % 0.34/0.60 (assume @p352 (forall (@list @t516 @t507 @t506) (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f559147733l_bool (tptp.cOMBC_1988546018l_bool @t516) @t507) @t506) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool @t516 @t506) @t507)))) % 0.34/0.60 (assume @p353 (forall (@list @t518 @t497 @t517) (= (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool (tptp.cOMBC_331553030l_bool @t518) @t497) @t517) (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool @t518 @t517) @t497)))) % 0.34/0.60 (assume @p354 (forall (@list @t520 @t503 @t519) (= (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool (tptp.cOMBC_595898202l_bool @t520) @t503) @t519) (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool @t520 @t519) @t503)))) % 0.34/0.60 (assume @p355 (forall (@list @t522 @t507 @t521) (= (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool @t522) @t507) @t521) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool @t522 @t521) @t507)))) % 0.34/0.60 (assume @p356 (forall (@list @t525 @t523 @t524) (= (tptp.hAPP_f292226953l_bool (tptp.hAPP_f1050622307l_bool (tptp.cOMBC_636888218l_bool @t525) @t523) @t524) (tptp.hAPP_f292226953l_bool (tptp.hAPP_f1050622307l_bool @t525 @t524) @t523)))) % 0.34/0.60 (assume @p357 (forall (@list @t528 @t526 @t527) (= (tptp.hAPP_f937997336l_bool (tptp.hAPP_f760187903l_bool (tptp.cOMBC_1269652216l_bool @t528) @t526) @t527) (tptp.hAPP_f937997336l_bool (tptp.hAPP_f760187903l_bool @t528 @t527) @t526)))) % 0.34/0.60 (assume @p358 (forall (@list @t531 @t529 @t530) (= (tptp.hAPP_f389811538l_bool (tptp.hAPP_f1759205631l_bool (tptp.cOMBC_336095980l_bool @t531) @t529) @t530) (tptp.hAPP_f389811538l_bool (tptp.hAPP_f1759205631l_bool @t531 @t530) @t529)))) % 0.34/0.60 (assume @p359 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname tptp.u))) % 0.34/0.60 (assume @p360 @t533) % 0.34/0.60 (assume @p361 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t535) @t534))) % 0.34/0.60 (assume @p362 (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a tptp.g) (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t534) @t535))) % 0.34/0.60 (assume @p363 @t536) % 0.34/0.60 (assume @p364 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t538 tptp.g)))) % 0.34/0.60 (assume @p365 (not @t539)) % 0.34/0.60 (assume @p366 true) % 0.34/0.60 (step @p367 :rule aci_norm :args ((= (or false @t210 @t406) @t540))) % 0.34/0.60 (step @p368 :rule refl :args (@t406)) % 0.34/0.60 (step @p369 :rule refl :args (@t210)) % 0.34/0.60 (step @p370 :rule evaluate :args ((not true))) % 0.34/0.60 (step @p371 :rule eq-refl :args (@t314)) % 0.34/0.60 (step @p372 :rule cong :premises (@p371) :args (@t541)) % 0.34/0.60 (step @p373 :rule trans :premises (@p372 @p370)) % 0.34/0.60 (step @p374 :rule nary_cong :premises (@p373 @p369 @p368) :args (@t542)) % 0.34/0.60 (step @p375 :rule trans :premises (@p374 @p367)) % 0.34/0.60 (step @p376 :rule cong :premises (@p375) :args ((forall @t543 @t542))) % 0.34/0.60 (step @p377 :rule quant-var-elim-eq :args ((= (forall @t546 @t545) @t542))) % 0.34/0.60 (step @p378 :rule aci_norm :args ((= @t547 @t545))) % 0.34/0.60 (step @p379 :rule cong :premises (@p378) :args (@t548)) % 0.34/0.60 (step @p380 :rule trans :premises (@p379 @p377)) % 0.34/0.60 (step @p381 :rule cong :premises (@p380) :args (@t549)) % 0.34/0.60 (step @p382 :rule quant-merge-prenex :args ((= @t549 @t550))) % 0.34/0.60 (step @p383 :rule symm :premises (@p382)) % 0.34/0.60 (step @p384 :rule quant_var_reordering :args ((= (forall @t316 @t547) @t550))) % 0.34/0.60 (step @p385 :rule trans :premises (@p384 @p383 @p381)) % 0.34/0.60 (step @p386 :rule trans :premises (@p385 @p376)) % 0.34/0.60 (step @p387 :rule aci_norm :args ((= (or @t544 (or @t210 @t312)) @t547))) % 0.34/0.60 (step @p388 :rule bool-impl-elim :args (@t209 @t312)) % 0.34/0.60 (step @p389 :rule refl :args (@t544)) % 0.34/0.60 (step @p390 :rule nary_cong :premises (@p389 @p388) :args ((or @t544 @t313))) % 0.34/0.60 (step @p391 :rule trans :premises (@p390 @p387)) % 0.34/0.60 (step @p392 :rule bool-impl-elim :args (@t315 @t313)) % 0.34/0.60 (step @p393 :rule trans :premises (@p392 @p391)) % 0.34/0.60 (step @p394 :rule cong :premises (@p393) :args (@t317)) % 0.34/0.60 (step @p395 :rule trans :premises (@p394 @p386)) % 0.34/0.60 (step @p396 :rule eq_resolve :premises (@p177 @p395)) % 0.34/0.60 (step @p397 :rule instantiate :premises (@p272) :args ((@list @t537 tptp.g @t532))) % 0.34/0.60 (step @p398 :rule cnf_equiv_pos2 :args (@t553)) % 0.34/0.60 (step @p399 :rule reordering :premises (@p398) :args ((or @t539 @t554 (not @t553)))) % 0.34/0.60 (step @p400 :rule chain_m_resolution :premises (@p399 @p365 @p397) :args (@t554 @t555 (@list @t539 @t553))) % 0.34/0.60 (step @p401 :rule cnf_and_neg :args (@t552)) % 0.34/0.60 (step @p402 :rule reordering :premises (@p401) :args ((or (not @t533) @t552 @t556))) % 0.34/0.60 (step @p403 :rule chain_m_resolution :premises (@p402 @p360 @p400) :args (@t556 @t557 (@list @t533 @t552))) % 0.34/0.60 (step @p404 :rule cnf_or_pos :args (@t559)) % 0.34/0.60 (step @p405 :rule reordering :premises (@p404) :args ((or @t558 @t551 @t560))) % 0.34/0.60 (step @p406 :rule chain_m_resolution :premises (@p405 @p363 @p403) :args (@t560 @t557 (@list @t536 @t551))) % 0.34/0.60 (assume-push @p413 @t561) % 0.34/0.60 (step @p408 :rule instantiate :premises (@p396) :args ((@list tptp.u tptp.mgt_call tptp.pn))) % 0.34/0.60 (step-pop @p414 :rule scope :premises (@p408)) % 0.34/0.60 (step @p409 :rule process_scope :premises (@p414) :args (@t559)) % 0.34/0.60 (step @p411 :rule implies_elim :premises (@p409)) % 0.34/0.60 (step @p412 false :rule chain_m_resolution :premises (@p411 @p406 @p396) :args (false @t555 (@list @t559 @t561))) % 0.34/0.60 ) % 0.34/0.60 % SZS output end Proof % 0.34/0.60 % cvc5 exiting %------------------------------------------------------------------------------