%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW473+2 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:05:03 AM UTC 2026 % Result : Theorem 1.21s 1.45s % Output : Proof 1.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW473+2 : TPTP v9.2.1. Released v5.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 22:07:36 EDT 2026 % 0.17/0.34 % CPUTime : % 0.41/0.69 %----Proving TF0_NAR, FOF, or CNF % 1.21/1.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.21/1.45 % SZS status Theorem % 1.21/1.45 % SZS output start Proof % 1.21/1.45 ( % 1.21/1.45 (declare-sort $$unsorted 0) % 1.21/1.45 (declare-const tptp.na $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_f1476298914l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f198738859l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_a1392362872l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_p393069232l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.bot_bot_nat $$unsorted) % 1.21/1.45 (declare-const tptp.cOMBK_bool_nat (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBK_1994329625t_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.bot_bot_fun_nat_bool $$unsorted) % 1.21/1.45 (declare-const tptp.cOMBB_bool_bool_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.nat_case_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.fimplies $$unsorted) % 1.21/1.45 (declare-const tptp.fNot $$unsorted) % 1.21/1.45 (declare-const tptp.cOMBC_pname_a_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_1897541054_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.finite786885583l_bool $$unsorted) % 1.21/1.45 (declare-const tptp.member_fun_a_bool $$unsorted) % 1.21/1.45 (declare-const tptp.finite1701474069l_bool $$unsorted) % 1.21/1.45 (declare-const tptp.finite1306199131a_bool $$unsorted) % 1.21/1.45 (declare-const tptp.cOMBB_542850580_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_2117322052ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_595898202l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.insert1325755072e_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_1058051404l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.fequal533582459e_bool $$unsorted) % 1.21/1.45 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.21/1.45 (declare-const tptp.member_fun_nat_bool $$unsorted) % 1.21/1.45 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f389811538l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_1854862208_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.ord_less_eq_nat $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_f292226953l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f654413245e_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_pname_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.collec1613912337l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f1631501043l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f1794073134e_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.ord_le1454342156l_bool $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_f2050579477a_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.collect_a (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_a_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.bot_bo844097828e_bool $$unsorted) % 1.21/1.45 (declare-const tptp.wt (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.insert_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_n1414589940l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_n1025906991e_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.u $$unsorted) % 1.21/1.45 (declare-const tptp.image_fun_nat_bool_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_fun_a_bool_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_nat_fun_a_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.fun (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f54304608l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_pname_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_a85458249l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_307249310e_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.ord_less_nat $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_a93125764e_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f510955609l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_1137537805bool_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_a_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_1823939024ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_a_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f285962445l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_a_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.fTrue $$unsorted) % 1.21/1.45 (declare-const tptp.fFalse $$unsorted) % 1.21/1.45 (declare-const tptp.finite2012431853t_bool $$unsorted) % 1.21/1.45 (declare-const tptp.insert_fun_a_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.ord_le1311769555a_bool $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_n850744903l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.insert_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.the_com (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.suc $$unsorted) % 1.21/1.45 (declare-const tptp.cOMBB_610033911bool_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_26036933t_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.is_bool (-> $$unsorted Bool)) % 1.21/1.45 (declare-const tptp.ord_le675606854l_bool $$unsorted) % 1.21/1.45 (declare-const tptp.member_pname $$unsorted) % 1.21/1.45 (declare-const tptp.g $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_a_fun_nat_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.is_pname (-> $$unsorted Bool)) % 1.21/1.45 (declare-const tptp.hAPP_nat_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_nat_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.finite_finite_pname $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_a_fun_a_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_1245412066l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_2140588453a_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_7971162l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_647938656_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f282463732t_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.collect_fun_a_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.pname $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_f2117159681l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_p1534023578a_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBS_a_bool_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f559147733l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.fequal_pname $$unsorted) % 1.21/1.45 (declare-const tptp.is_a (-> $$unsorted Bool)) % 1.21/1.45 (declare-const tptp.cOMBB_164527437a_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_p1824510254l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_331553030l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_bool_bool_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_819518260e_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.pn $$unsorted) % 1.21/1.45 (declare-const tptp.cOMBB_743407885bool_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_1004116266e_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f434788991l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBK_324466864a_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_1250273980t_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_bool_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_n215258509l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_1738168533e_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.finite_finite_a $$unsorted) % 1.21/1.45 (declare-const tptp.image_1655916159e_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.is_fun949378684l_bool (-> $$unsorted Bool)) % 1.21/1.45 (declare-const tptp.cOMBB_141086128t_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f1297739591_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.collec1974731493e_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.x_a $$unsorted) % 1.21/1.45 (declare-const tptp.cOMBC_615407716e_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f1637334154l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.bot_bo1701429464l_bool $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_p338031245l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBK_bool_pname (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_2129980159t_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f1748468828l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBS_350070575l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f1772781669l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_1880041174l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.finite1381704300l_bool $$unsorted) % 1.21/1.45 (declare-const tptp.is_fun_a_bool (-> $$unsorted Bool)) % 1.21/1.45 (declare-const tptp.cOMBC_385542954t_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_fun_a_bool_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_n1006566506l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f621171935l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.bot_bot_fun_a_bool $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_b589554111l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.is_fun_pname_bool (-> $$unsorted Bool)) % 1.21/1.45 (declare-const tptp.cOMBC_1928494297l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.bool $$unsorted) % 1.21/1.45 (declare-const tptp.cOMBS_1187019125l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_876012084bool_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.undefi1699038445l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.fequal_a $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_f1935102916l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_p61793385e_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.collect_fun_nat_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBS_568398431l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.undefined_fun_a_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_a217006258l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBK_bool_a (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f759274231e_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.is_fun1661590463l_bool (-> $$unsorted Bool)) % 1.21/1.45 (declare-const tptp.image_a_fun_a_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_1551609309ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBS_nat_bool_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.undefi64961550l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_1921560913_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.bot_bot_bool $$unsorted) % 1.21/1.45 (declare-const tptp.bot_bo1389914601l_bool $$unsorted) % 1.21/1.45 (declare-const tptp.bot_bo1649642514l_bool $$unsorted) % 1.21/1.45 (declare-const tptp.cOMBB_1321347587bool_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_pname_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_408569982_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f2009550088ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f1549043526a_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_1149511130e_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_386238098l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.collect_pname (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f1051908748a_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_a_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f1291551745_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_pname_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_pname_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_112932426a_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_1896684278e_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_nat_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_nat_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_nat_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.undefined_pname (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.ord_le1375614389l_bool $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_p130839763l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f1434722111l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.collec707592106l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_1732670874l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_1972296269bool_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_1284144636l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.member799430823e_bool $$unsorted) % 1.21/1.45 (declare-const tptp.mgt (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_1988546018l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_pname_nat_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.ord_le1568362934t_bool $$unsorted) % 1.21/1.45 (declare-const tptp.cOMBB_238756964t_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f103356543l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.finite595471783e_bool $$unsorted) % 1.21/1.45 (declare-const tptp.image_nat_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.minus_minus_nat (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_a_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_496248727ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_fun_a_bool_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_a_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.insert_fun_nat_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.insert_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_nat_pname_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_47868345e_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.finite_card_pname $$unsorted) % 1.21/1.45 (declare-const tptp.image_nat_fun_a_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.finite_card_a $$unsorted) % 1.21/1.45 (declare-const tptp.finite346522414t_bool $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_f696928925ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.fequal_fun_nat_bool $$unsorted) % 1.21/1.45 (declare-const tptp.finite1340463720e_bool $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_f55526627ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_a_fun_a_bool_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_pname_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.finite_card_nat $$unsorted) % 1.21/1.45 (declare-const tptp.mgt_call $$unsorted) % 1.21/1.45 (declare-const tptp.cOMBC_a_a_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f22106695ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f937997336l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_nat_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.body (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f1951378235l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_800536526ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.finite347923420a_bool $$unsorted) % 1.21/1.45 (declare-const tptp.member_a $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_f556039215l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_598082538e_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.ord_le313189616e_bool $$unsorted) % 1.21/1.45 (declare-const tptp.fconj $$unsorted) % 1.21/1.45 (declare-const tptp.cOMBB_444170502t_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBK_1857069011e_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_2095475776e_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBS_1035972772l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_338059395a_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.undefined_a (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_675860798_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.finite_finite_nat $$unsorted) % 1.21/1.45 (declare-const tptp.cOMBB_523834888_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_1015721476ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.undefi17486888e_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.collect_nat (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_nat_nat_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.fdisj $$unsorted) % 1.21/1.45 (declare-const tptp.fequal_fun_a_bool $$unsorted) % 1.21/1.45 (declare-const tptp.image_a_fun_nat_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_472261505bool_a (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.ord_less_eq_bool $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_a_fun_bool_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_1212655066ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_619334683t_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_fun_a_bool_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_p1499970991t_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBK_a_pname (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f1128469712_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_226598744l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f800510211t_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_a_pname_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f1664156314l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_1355376034l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f1246832597l_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.member_nat $$unsorted) % 1.21/1.45 (declare-const tptp.collec1015864663l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_1693087065a_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.fequal_nat $$unsorted) % 1.21/1.45 (declare-const tptp.one_one_nat $$unsorted) % 1.21/1.45 (declare-const tptp.cOMBC_a_nat_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.plus_plus_nat (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_1693257480l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_pname_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_1666426608t_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_1885489796ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_nat_a_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_2026977092ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.zero_zero_nat $$unsorted) % 1.21/1.45 (declare-const tptp.hAPP_f1066163005t_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_f921600141ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_928955006_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.hAPP_n1699378549t_bool (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_267053842l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.image_1283814551_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBB_392435466_pname (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_445755039l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_777206479l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.cOMBC_1834145417l_bool (-> $$unsorted $$unsorted)) % 1.21/1.45 (define @t1 () (@var "B_2_1" $$unsorted)) % 1.21/1.45 (define @t2 () (@var "B_1_1" $$unsorted)) % 1.21/1.45 (define @t3 () (tptp.is_fun_a_bool @t1)) % 1.21/1.45 (define @t4 () (@list @t2 @t1)) % 1.21/1.45 (define @t5 () (tptp.is_fun_pname_bool @t1)) % 1.21/1.45 (define @t6 () (tptp.is_fun949378684l_bool @t1)) % 1.21/1.45 (define @t7 () (tptp.is_fun1661590463l_bool @t1)) % 1.21/1.45 (define @t8 () (tptp.is_bool @t2)) % 1.21/1.45 (define @t9 () (@list @t2)) % 1.21/1.45 (define @t10 () (tptp.fun tptp.x_a tptp.bool)) % 1.21/1.45 (define @t11 () (tptp.fun tptp.pname tptp.bool)) % 1.21/1.45 (define @t12 () (tptp.is_fun_a_bool @t2)) % 1.21/1.45 (define @t13 () (tptp.is_fun_pname_bool @t2)) % 1.21/1.45 (define @t14 () (tptp.is_fun949378684l_bool @t2)) % 1.21/1.45 (define @t15 () (tptp.is_fun1661590463l_bool @t2)) % 1.21/1.45 (define @t16 () (tptp.is_a @t1)) % 1.21/1.45 (define @t17 () (tptp.is_pname @t1)) % 1.21/1.45 (define @t18 () (@var "Ts" $$unsorted)) % 1.21/1.45 (define @t19 () (@var "G" $$unsorted)) % 1.21/1.45 (define @t20 () (tptp.p @t19)) % 1.21/1.45 (define @t21 () (@var "A_1" $$unsorted)) % 1.21/1.45 (define @t22 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t21))) % 1.21/1.45 (define @t23 () (@list @t21)) % 1.21/1.45 (define @t24 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t21))) % 1.21/1.45 (define @t25 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t21))) % 1.21/1.45 (define @t26 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t21))) % 1.21/1.45 (define @t27 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t21))) % 1.21/1.45 (define @t28 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t21))) % 1.21/1.45 (define @t29 () (@var "F_1" $$unsorted)) % 1.21/1.45 (define @t30 () (@var "H" $$unsorted)) % 1.21/1.45 (define @t31 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t29))) % 1.21/1.45 (define @t32 () (@list @t30 @t29)) % 1.21/1.45 (define @t33 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t29))) % 1.21/1.45 (define @t34 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t29))) % 1.21/1.45 (define @t35 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t29))) % 1.21/1.45 (define @t36 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t29))) % 1.21/1.45 (define @t37 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t29))) % 1.21/1.45 (define @t38 () (@var "A_3" $$unsorted)) % 1.21/1.45 (define @t39 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.insert_fun_nat_bool @t38 @t21)))) % 1.21/1.45 (define @t40 () (@list @t38 @t21)) % 1.21/1.45 (define @t41 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.insert1325755072e_bool @t38 @t21)))) % 1.21/1.45 (define @t42 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.insert_fun_a_bool @t38 @t21)))) % 1.21/1.45 (define @t43 () (tptp.insert_pname @t38 @t21)) % 1.21/1.45 (define @t44 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t43))) % 1.21/1.45 (define @t45 () (tptp.insert_nat @t38 @t21)) % 1.21/1.45 (define @t46 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t45))) % 1.21/1.45 (define @t47 () (tptp.insert_a @t38 @t21)) % 1.21/1.45 (define @t48 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t47))) % 1.21/1.45 (define @t49 () (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t21)) % 1.21/1.45 (define @t50 () (@var "F" $$unsorted)) % 1.21/1.45 (define @t51 () (tptp.image_pname_pname @t50 @t21)) % 1.21/1.45 (define @t52 () (@list @t50 @t21)) % 1.21/1.45 (define @t53 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t21)) % 1.21/1.45 (define @t54 () (tptp.image_a_a @t50 @t21)) % 1.21/1.45 (define @t55 () (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool @t21)) % 1.21/1.45 (define @t56 () (tptp.image_fun_nat_bool_a @t50 @t21)) % 1.21/1.45 (define @t57 () (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool @t21)) % 1.21/1.45 (define @t58 () (tptp.image_876012084bool_a @t50 @t21)) % 1.21/1.45 (define @t59 () (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool @t21)) % 1.21/1.45 (define @t60 () (tptp.image_fun_a_bool_a @t50 @t21)) % 1.21/1.45 (define @t61 () (tptp.image_pname_nat @t50 @t21)) % 1.21/1.45 (define @t62 () (tptp.image_a_nat @t50 @t21)) % 1.21/1.45 (define @t63 () (tptp.image_496248727ol_nat @t50 @t21)) % 1.21/1.45 (define @t64 () (tptp.image_1551609309ol_nat @t50 @t21)) % 1.21/1.45 (define @t65 () (tptp.image_fun_a_bool_nat @t50 @t21)) % 1.21/1.45 (define @t66 () (tptp.image_a_pname @t50 @t21)) % 1.21/1.45 (define @t67 () (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t21)) % 1.21/1.45 (define @t68 () (tptp.image_nat_pname @t50 @t21)) % 1.21/1.45 (define @t69 () (tptp.image_pname_a @t50 @t21)) % 1.21/1.45 (define @t70 () (@var "B_6" $$unsorted)) % 1.21/1.45 (define @t71 () (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool @t70)) % 1.21/1.45 (define @t72 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t55)) % 1.21/1.45 (define @t73 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool @t21) @t70))) % 1.21/1.45 (define @t74 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t70))) % 1.21/1.45 (define @t75 () (@list @t21 @t70)) % 1.21/1.45 (define @t76 () (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool @t70)) % 1.21/1.45 (define @t77 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t57)) % 1.21/1.45 (define @t78 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool @t21) @t70))) % 1.21/1.45 (define @t79 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t70))) % 1.21/1.45 (define @t80 () (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool @t70)) % 1.21/1.45 (define @t81 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t59)) % 1.21/1.45 (define @t82 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool @t21) @t70))) % 1.21/1.45 (define @t83 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t70))) % 1.21/1.45 (define @t84 () (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t70)) % 1.21/1.45 (define @t85 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t49)) % 1.21/1.45 (define @t86 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t21)) % 1.21/1.45 (define @t87 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t86 @t70))) % 1.21/1.45 (define @t88 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t70))) % 1.21/1.45 (define @t89 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t70)) % 1.21/1.45 (define @t90 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t53)) % 1.21/1.45 (define @t91 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t21)) % 1.21/1.45 (define @t92 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t91 @t70))) % 1.21/1.45 (define @t93 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t70))) % 1.21/1.45 (define @t94 () (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t70)) % 1.21/1.45 (define @t95 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t67)) % 1.21/1.45 (define @t96 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t21)) % 1.21/1.45 (define @t97 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t96 @t70))) % 1.21/1.45 (define @t98 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t70))) % 1.21/1.45 (define @t99 () (= @t21 @t70)) % 1.21/1.45 (define @t100 () (tptp.is_fun1661590463l_bool @t70)) % 1.21/1.45 (define @t101 () (tptp.is_fun949378684l_bool @t70)) % 1.21/1.45 (define @t102 () (tptp.is_fun_pname_bool @t70)) % 1.21/1.45 (define @t103 () (tptp.is_fun_pname_bool @t21)) % 1.21/1.45 (define @t104 () (and @t103 @t102)) % 1.21/1.45 (define @t105 () (tptp.is_fun_a_bool @t70)) % 1.21/1.45 (define @t106 () (tptp.is_fun_a_bool @t21)) % 1.21/1.45 (define @t107 () (and @t106 @t105)) % 1.21/1.45 (define @t108 () (@var "X_3" $$unsorted)) % 1.21/1.45 (define @t109 () (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.insert_fun_nat_bool @t108 @t21))) % 1.21/1.45 (define @t110 () (@list @t108 @t21)) % 1.21/1.45 (define @t111 () (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.insert1325755072e_bool @t108 @t21))) % 1.21/1.45 (define @t112 () (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.insert_fun_a_bool @t108 @t21))) % 1.21/1.45 (define @t113 () (tptp.insert_pname @t108 @t21)) % 1.21/1.45 (define @t114 () (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t113)) % 1.21/1.45 (define @t115 () (tptp.insert_nat @t108 @t21)) % 1.21/1.45 (define @t116 () (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t115)) % 1.21/1.45 (define @t117 () (tptp.insert_a @t108 @t21)) % 1.21/1.45 (define @t118 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t117)) % 1.21/1.45 (define @t119 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool @t108) @t21))) % 1.21/1.45 (define @t120 () (=> (not @t119) (= @t109 (tptp.hAPP_nat_nat tptp.suc @t55)))) % 1.21/1.45 (define @t121 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool @t108) @t21))) % 1.21/1.45 (define @t122 () (=> (not @t121) (= @t111 (tptp.hAPP_nat_nat tptp.suc @t57)))) % 1.21/1.45 (define @t123 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool @t108) @t21))) % 1.21/1.45 (define @t124 () (=> (not @t123) (= @t112 (tptp.hAPP_nat_nat tptp.suc @t59)))) % 1.21/1.45 (define @t125 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t108)) % 1.21/1.45 (define @t126 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t125 @t21))) % 1.21/1.45 (define @t127 () (not @t126)) % 1.21/1.45 (define @t128 () (=> @t127 (= @t116 (tptp.hAPP_nat_nat tptp.suc @t67)))) % 1.21/1.45 (define @t129 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t108)) % 1.21/1.45 (define @t130 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t129 @t21))) % 1.21/1.45 (define @t131 () (not @t130)) % 1.21/1.45 (define @t132 () (=> @t131 (= @t114 (tptp.hAPP_nat_nat tptp.suc @t49)))) % 1.21/1.45 (define @t133 () (tptp.hAPP_a85458249l_bool tptp.member_a @t108)) % 1.21/1.45 (define @t134 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t133 @t21))) % 1.21/1.45 (define @t135 () (not @t134)) % 1.21/1.45 (define @t136 () (=> @t135 (= @t118 (tptp.hAPP_nat_nat tptp.suc @t53)))) % 1.21/1.45 (define @t137 () (@var "Q_1" $$unsorted)) % 1.21/1.45 (define @t138 () (@var "Pa" $$unsorted)) % 1.21/1.45 (define @t139 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a @t137)))) % 1.21/1.45 (define @t140 () (tptp.collect_a @t138)) % 1.21/1.45 (define @t141 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t140))) % 1.21/1.45 (define @t142 () (@list @t137 @t138)) % 1.21/1.45 (define @t143 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool @t137)))) % 1.21/1.45 (define @t144 () (tptp.collect_fun_nat_bool @t138)) % 1.21/1.45 (define @t145 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t144))) % 1.21/1.45 (define @t146 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool @t137)))) % 1.21/1.45 (define @t147 () (tptp.collec1974731493e_bool @t138)) % 1.21/1.45 (define @t148 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t147))) % 1.21/1.45 (define @t149 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool @t137)))) % 1.21/1.45 (define @t150 () (tptp.collect_fun_a_bool @t138)) % 1.21/1.45 (define @t151 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t150))) % 1.21/1.45 (define @t152 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname @t137)))) % 1.21/1.45 (define @t153 () (tptp.collect_pname @t138)) % 1.21/1.45 (define @t154 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t153))) % 1.21/1.45 (define @t155 () (tptp.cOMBB_1015721476ol_nat tptp.fconj @t138)) % 1.21/1.45 (define @t156 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat @t137)))) % 1.21/1.45 (define @t157 () (tptp.collect_nat @t138)) % 1.21/1.45 (define @t158 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t157))) % 1.21/1.45 (define @t159 () (@var "N" $$unsorted)) % 1.21/1.45 (define @t160 () (@var "M" $$unsorted)) % 1.21/1.45 (define @t161 () (tptp.minus_minus_nat @t160)) % 1.21/1.45 (define @t162 () (tptp.hAPP_nat_nat @t161 @t159)) % 1.21/1.45 (define @t163 () (tptp.hAPP_nat_nat tptp.suc @t160)) % 1.21/1.45 (define @t164 () (tptp.minus_minus_nat @t163)) % 1.21/1.45 (define @t165 () (tptp.hAPP_nat_nat @t164 @t159)) % 1.21/1.45 (define @t166 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t159)) % 1.21/1.45 (define @t167 () (tptp.hBOOL (tptp.hAPP_nat_bool @t166 @t160))) % 1.21/1.45 (define @t168 () (@list @t159 @t160)) % 1.21/1.45 (define @t169 () (@var "K_2" $$unsorted)) % 1.21/1.45 (define @t170 () (tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat)) % 1.21/1.45 (define @t171 () (@list @t169)) % 1.21/1.45 (define @t172 () (@var "Na" $$unsorted)) % 1.21/1.45 (define @t173 () (tptp.hAPP_nat_nat tptp.suc @t172)) % 1.21/1.45 (define @t174 () (@list @t172)) % 1.21/1.45 (define @t175 () (@var "Y" $$unsorted)) % 1.21/1.45 (define @t176 () (@var "X" $$unsorted)) % 1.21/1.45 (define @t177 () (= @t176 @t175)) % 1.21/1.45 (define @t178 () (@list @t176 @t175)) % 1.21/1.45 (define @t179 () (@var "Nat_2" $$unsorted)) % 1.21/1.45 (define @t180 () (@var "Nat_3" $$unsorted)) % 1.21/1.45 (define @t181 () (tptp.hAPP_nat_nat tptp.suc @t159)) % 1.21/1.45 (define @t182 () (@list @t159)) % 1.21/1.45 (define @t183 () (= @t160 @t159)) % 1.21/1.45 (define @t184 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t160)) % 1.21/1.45 (define @t185 () (tptp.hBOOL (tptp.hAPP_nat_bool @t184 @t159))) % 1.21/1.45 (define @t186 () (@list @t160 @t159)) % 1.21/1.45 (define @t187 () (@var "K" $$unsorted)) % 1.21/1.45 (define @t188 () (@var "I" $$unsorted)) % 1.21/1.45 (define @t189 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t188)) % 1.21/1.45 (define @t190 () (@var "J_2" $$unsorted)) % 1.21/1.45 (define @t191 () (tptp.hBOOL (tptp.hAPP_nat_bool @t189 @t190))) % 1.21/1.45 (define @t192 () (@list @t187 @t188 @t190)) % 1.21/1.45 (define @t193 () (tptp.minus_minus_nat @t188)) % 1.21/1.45 (define @t194 () (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat @t193 @t190)) @t187)) % 1.21/1.45 (define @t195 () (@list @t188 @t190 @t187)) % 1.21/1.45 (define @t196 () (@list @t138 @t137)) % 1.21/1.45 (define @t197 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t163) @t159))) % 1.21/1.45 (define @t198 () (tptp.hBOOL (tptp.hAPP_nat_bool @t184 @t181))) % 1.21/1.45 (define @t199 () (@var "M_1" $$unsorted)) % 1.21/1.45 (define @t200 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t172)) % 1.21/1.45 (define @t201 () (tptp.hAPP_nat_nat tptp.suc @t199)) % 1.21/1.45 (define @t202 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t173)) % 1.21/1.45 (define @t203 () (@list @t172 @t199)) % 1.21/1.45 (define @t204 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t199)) % 1.21/1.45 (define @t205 () (tptp.hBOOL (tptp.hAPP_nat_bool @t204 @t172))) % 1.21/1.45 (define @t206 () (@list @t199 @t172)) % 1.21/1.45 (define @t207 () (tptp.hBOOL (tptp.hAPP_nat_bool @t202 @t199))) % 1.21/1.45 (define @t208 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t181)) % 1.21/1.45 (define @t209 () (@list @t160 @t159 @t187)) % 1.21/1.45 (define @t210 () (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t172) @t169)) % 1.21/1.45 (define @t211 () (tptp.minus_minus_nat @t199)) % 1.21/1.45 (define @t212 () (tptp.hAPP_nat_nat @t211 @t169)) % 1.21/1.45 (define @t213 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t169)) % 1.21/1.45 (define @t214 () (tptp.hBOOL (tptp.hAPP_nat_bool @t213 @t172))) % 1.21/1.45 (define @t215 () (tptp.hBOOL (tptp.hAPP_nat_bool @t213 @t199))) % 1.21/1.45 (define @t216 () (@list @t172 @t169 @t199)) % 1.21/1.45 (define @t217 () (tptp.minus_minus_nat @t159)) % 1.21/1.45 (define @t218 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t187)) % 1.21/1.45 (define @t219 () (tptp.hBOOL (tptp.hAPP_nat_bool @t218 @t159))) % 1.21/1.45 (define @t220 () (= @t199 @t172)) % 1.21/1.45 (define @t221 () (@var "L" $$unsorted)) % 1.21/1.45 (define @t222 () (@list @t221 @t160 @t159)) % 1.21/1.45 (define @t223 () (tptp.minus_minus_nat @t221)) % 1.21/1.45 (define @t224 () (tptp.hAPP_nat_nat @t223 @t160)) % 1.21/1.45 (define @t225 () (tptp.hAPP_nat_nat @t223 @t159)) % 1.21/1.45 (define @t226 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t70)) % 1.21/1.45 (define @t227 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t226 @t54))) % 1.21/1.45 (define @t228 () (@list @t70 @t50 @t21)) % 1.21/1.45 (define @t229 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t226 @t56))) % 1.21/1.45 (define @t230 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t226 @t58))) % 1.21/1.45 (define @t231 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t226 @t60))) % 1.21/1.45 (define @t232 () (tptp.image_2129980159t_bool @t50 @t21)) % 1.21/1.45 (define @t233 () (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool @t70)) % 1.21/1.45 (define @t234 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t233 @t232))) % 1.21/1.45 (define @t235 () (tptp.image_47868345e_bool @t50 @t21)) % 1.21/1.45 (define @t236 () (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool @t70)) % 1.21/1.45 (define @t237 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t236 @t235))) % 1.21/1.45 (define @t238 () (tptp.image_112932426a_bool @t50 @t21)) % 1.21/1.45 (define @t239 () (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool @t70)) % 1.21/1.45 (define @t240 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t239 @t238))) % 1.21/1.45 (define @t241 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t70)) % 1.21/1.45 (define @t242 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t241 @t51))) % 1.21/1.45 (define @t243 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t70)) % 1.21/1.45 (define @t244 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t243 @t61))) % 1.21/1.45 (define @t245 () (tptp.image_nat_a @t50 @t21)) % 1.21/1.45 (define @t246 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t226 @t245))) % 1.21/1.45 (define @t247 () (tptp.image_26036933t_bool @t50 @t21)) % 1.21/1.45 (define @t248 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t233 @t247))) % 1.21/1.45 (define @t249 () (tptp.image_1655916159e_bool @t50 @t21)) % 1.21/1.45 (define @t250 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t236 @t249))) % 1.21/1.45 (define @t251 () (tptp.image_nat_fun_a_bool @t50 @t21)) % 1.21/1.45 (define @t252 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t239 @t251))) % 1.21/1.45 (define @t253 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t241 @t68))) % 1.21/1.45 (define @t254 () (tptp.image_nat_nat @t50 @t21)) % 1.21/1.45 (define @t255 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t243 @t254))) % 1.21/1.45 (define @t256 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t241 @t66))) % 1.21/1.45 (define @t257 () (tptp.image_1921560913_pname @t50 @t21)) % 1.21/1.45 (define @t258 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t241 @t257))) % 1.21/1.45 (define @t259 () (tptp.image_1283814551_pname @t50 @t21)) % 1.21/1.45 (define @t260 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t241 @t259))) % 1.21/1.45 (define @t261 () (tptp.image_1854862208_pname @t50 @t21)) % 1.21/1.45 (define @t262 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t241 @t261))) % 1.21/1.45 (define @t263 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t243 @t62))) % 1.21/1.45 (define @t264 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t243 @t63))) % 1.21/1.45 (define @t265 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t243 @t64))) % 1.21/1.45 (define @t266 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t243 @t65))) % 1.21/1.45 (define @t267 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t226 @t69))) % 1.21/1.45 (define @t268 () (@var "C_7" $$unsorted)) % 1.21/1.45 (define @t269 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t268))) % 1.21/1.45 (define @t270 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool @t268) @t21))) % 1.21/1.45 (define @t271 () (@list @t268)) % 1.21/1.45 (define @t272 () (@list @t50 @t21 @t70)) % 1.21/1.45 (define @t273 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t268))) % 1.21/1.45 (define @t274 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool @t268) @t21))) % 1.21/1.45 (define @t275 () (tptp.is_fun1661590463l_bool @t268)) % 1.21/1.45 (define @t276 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t268))) % 1.21/1.45 (define @t277 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool @t268) @t21))) % 1.21/1.45 (define @t278 () (tptp.is_fun949378684l_bool @t268)) % 1.21/1.45 (define @t279 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t268))) % 1.21/1.45 (define @t280 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t268) @t21))) % 1.21/1.45 (define @t281 () (tptp.is_fun_a_bool @t268)) % 1.21/1.45 (define @t282 () (tptp.image_a_fun_nat_bool @t50 @t21)) % 1.21/1.45 (define @t283 () (tptp.image_819518260e_bool @t50 @t21)) % 1.21/1.45 (define @t284 () (tptp.image_a_fun_a_bool @t50 @t21)) % 1.21/1.45 (define @t285 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t268))) % 1.21/1.45 (define @t286 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t268) @t21))) % 1.21/1.45 (define @t287 () (tptp.is_fun_pname_bool @t268)) % 1.21/1.45 (define @t288 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t268))) % 1.21/1.45 (define @t289 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t268) @t21))) % 1.21/1.45 (define @t290 () (@var "N_3" $$unsorted)) % 1.21/1.45 (define @t291 () (tptp.hBOOL (tptp.hAPP_nat_bool @t200 @t290))) % 1.21/1.45 (define @t292 () (@var "N_2" $$unsorted)) % 1.21/1.45 (define @t293 () (tptp.hAPP_nat_nat tptp.suc @t292)) % 1.21/1.45 (define @t294 () (@list @t292)) % 1.21/1.45 (define @t295 () (@list @t172 @t290 @t50)) % 1.21/1.45 (define @t296 () (tptp.hAPP_nat_nat @t50 @t292)) % 1.21/1.45 (define @t297 () (@var "X_1" $$unsorted)) % 1.21/1.45 (define @t298 () (tptp.hAPP_nat_pname @t50 @t297)) % 1.21/1.45 (define @t299 () (tptp.cOMBC_226598744l_bool tptp.member_nat)) % 1.21/1.45 (define @t300 () (tptp.cOMBB_1015721476ol_nat tptp.fconj (tptp.hAPP_f800510211t_bool @t299 @t21))) % 1.21/1.45 (define @t301 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t297)) % 1.21/1.45 (define @t302 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t301 @t21))) % 1.21/1.45 (define @t303 () (@list @t297)) % 1.21/1.45 (define @t304 () (not @t28)) % 1.21/1.45 (define @t305 () (tptp.hAPP_a_pname @t50 @t297)) % 1.21/1.45 (define @t306 () (tptp.cOMBC_1355376034l_bool tptp.member_a)) % 1.21/1.45 (define @t307 () (tptp.cOMBB_1972296269bool_a tptp.fconj (tptp.hAPP_f2050579477a_bool @t306 @t21))) % 1.21/1.45 (define @t308 () (tptp.hAPP_a85458249l_bool tptp.member_a @t297)) % 1.21/1.45 (define @t309 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t308 @t21))) % 1.21/1.45 (define @t310 () (tptp.is_a @t297)) % 1.21/1.45 (define @t311 () (not @t26)) % 1.21/1.45 (define @t312 () (tptp.hAPP_pname_pname @t50 @t297)) % 1.21/1.45 (define @t313 () (tptp.cOMBC_1058051404l_bool tptp.member_pname)) % 1.21/1.45 (define @t314 () (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_f759274231e_bool @t313 @t21))) % 1.21/1.45 (define @t315 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t297)) % 1.21/1.45 (define @t316 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t315 @t21))) % 1.21/1.45 (define @t317 () (tptp.is_pname @t297)) % 1.21/1.45 (define @t318 () (not @t27)) % 1.21/1.45 (define @t319 () (tptp.cOMBC_1245412066l_bool tptp.member_fun_nat_bool)) % 1.21/1.45 (define @t320 () (tptp.cOMBB_444170502t_bool tptp.fconj (tptp.hAPP_f1246832597l_bool @t319 @t21))) % 1.21/1.45 (define @t321 () (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool @t297)) % 1.21/1.45 (define @t322 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t321 @t21))) % 1.21/1.45 (define @t323 () (not @t22)) % 1.21/1.45 (define @t324 () (tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool)) % 1.21/1.45 (define @t325 () (tptp.cOMBB_2095475776e_bool tptp.fconj (tptp.hAPP_f559147733l_bool @t324 @t21))) % 1.21/1.45 (define @t326 () (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool @t297)) % 1.21/1.45 (define @t327 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t326 @t21))) % 1.21/1.45 (define @t328 () (tptp.is_fun_pname_bool @t297)) % 1.21/1.45 (define @t329 () (not @t24)) % 1.21/1.45 (define @t330 () (tptp.cOMBC_1880041174l_bool tptp.member_fun_a_bool)) % 1.21/1.45 (define @t331 () (tptp.cOMBB_338059395a_bool tptp.fconj (tptp.hAPP_f2117159681l_bool @t330 @t21))) % 1.21/1.45 (define @t332 () (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool @t297)) % 1.21/1.45 (define @t333 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t332 @t21))) % 1.21/1.45 (define @t334 () (tptp.is_fun_a_bool @t297)) % 1.21/1.45 (define @t335 () (not @t25)) % 1.21/1.45 (define @t336 () (tptp.hAPP_a_nat @t50 @t297)) % 1.21/1.45 (define @t337 () (tptp.hAPP_pname_nat @t50 @t297)) % 1.21/1.45 (define @t338 () (tptp.hAPP_nat_a @t50 @t297)) % 1.21/1.45 (define @t339 () (tptp.hAPP_pname_a @t50 @t297)) % 1.21/1.45 (define @t340 () (@var "B_1" $$unsorted)) % 1.21/1.45 (define @t341 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t340)) % 1.21/1.45 (define @t342 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t341 @t61))) % 1.21/1.45 (define @t343 () (tptp.hAPP_pname_nat @t50 @t108)) % 1.21/1.45 (define @t344 () (= @t340 @t343)) % 1.21/1.45 (define @t345 () (@list @t21 @t340 @t50 @t108)) % 1.21/1.45 (define @t346 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t341 @t62))) % 1.21/1.45 (define @t347 () (tptp.hAPP_a_nat @t50 @t108)) % 1.21/1.45 (define @t348 () (= @t340 @t347)) % 1.21/1.45 (define @t349 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t340)) % 1.21/1.45 (define @t350 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t349 @t68))) % 1.21/1.45 (define @t351 () (tptp.hAPP_nat_pname @t50 @t108)) % 1.21/1.45 (define @t352 () (= @t340 @t351)) % 1.21/1.45 (define @t353 () (tptp.hAPP_a85458249l_bool tptp.member_a @t340)) % 1.21/1.45 (define @t354 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t353 @t245))) % 1.21/1.45 (define @t355 () (tptp.hAPP_nat_a @t50 @t108)) % 1.21/1.45 (define @t356 () (= @t340 @t355)) % 1.21/1.45 (define @t357 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t353 @t69))) % 1.21/1.45 (define @t358 () (=> @t130 @t357)) % 1.21/1.45 (define @t359 () (tptp.hAPP_pname_a @t50 @t108)) % 1.21/1.45 (define @t360 () (= @t340 @t359)) % 1.21/1.45 (define @t361 () (forall @t345 (=> @t360 @t358))) % 1.21/1.45 (define @t362 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t241 @t21))) % 1.21/1.45 (define @t363 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t243 @t21))) % 1.21/1.45 (define @t364 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t226 @t21))) % 1.21/1.46 (define @t365 () (@var "C_1" $$unsorted)) % 1.21/1.46 (define @t366 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t365)) % 1.21/1.46 (define @t367 () (@list @t365 @t21 @t70)) % 1.21/1.46 (define @t368 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t365)) % 1.21/1.46 (define @t369 () (tptp.hAPP_a85458249l_bool tptp.member_a @t365)) % 1.21/1.46 (define @t370 () (tptp.insert_nat @t340 @t70)) % 1.21/1.46 (define @t371 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t38)) % 1.21/1.46 (define @t372 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t371 @t370))) % 1.21/1.46 (define @t373 () (= @t38 @t340)) % 1.21/1.46 (define @t374 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t371 @t70))) % 1.21/1.46 (define @t375 () (@list @t340 @t38 @t70)) % 1.21/1.46 (define @t376 () (tptp.insert_pname @t340 @t70)) % 1.21/1.46 (define @t377 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t38)) % 1.21/1.46 (define @t378 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t377 @t376))) % 1.21/1.46 (define @t379 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t377 @t70))) % 1.21/1.46 (define @t380 () (tptp.insert_a @t340 @t70)) % 1.21/1.46 (define @t381 () (tptp.hAPP_a85458249l_bool tptp.member_a @t38)) % 1.21/1.46 (define @t382 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t381 @t380))) % 1.21/1.46 (define @t383 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t381 @t70))) % 1.21/1.46 (define @t384 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t371 @t21))) % 1.21/1.46 (define @t385 () (not @t373)) % 1.21/1.46 (define @t386 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t371 (tptp.insert_nat @t340 @t21)))) % 1.21/1.46 (define @t387 () (@list @t38 @t340 @t21)) % 1.21/1.46 (define @t388 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t377 @t21))) % 1.21/1.46 (define @t389 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t377 (tptp.insert_pname @t340 @t21)))) % 1.21/1.46 (define @t390 () (tptp.is_pname @t340)) % 1.21/1.46 (define @t391 () (tptp.is_pname @t38)) % 1.21/1.46 (define @t392 () (and @t391 @t390)) % 1.21/1.46 (define @t393 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t381 @t21))) % 1.21/1.46 (define @t394 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t381 (tptp.insert_a @t340 @t21)))) % 1.21/1.46 (define @t395 () (tptp.is_a @t340)) % 1.21/1.46 (define @t396 () (tptp.is_a @t38)) % 1.21/1.46 (define @t397 () (and @t396 @t395)) % 1.21/1.46 (define @t398 () (@var "I_1" $$unsorted)) % 1.21/1.46 (define @t399 () (@var "M_2" $$unsorted)) % 1.21/1.46 (define @t400 () (@var "M_3" $$unsorted)) % 1.21/1.46 (define @t401 () (@list @t399)) % 1.21/1.46 (define @t402 () (tptp.insert_nat @t38 @t70)) % 1.21/1.46 (define @t403 () (@list @t38 @t70)) % 1.21/1.46 (define @t404 () (tptp.insert_pname @t38 @t70)) % 1.21/1.46 (define @t405 () (tptp.insert_a @t38 @t70)) % 1.21/1.46 (define @t406 () (tptp.cOMBC_1693257480l_bool tptp.fequal_fun_nat_bool)) % 1.21/1.46 (define @t407 () (tptp.hAPP_f103356543l_bool @t406 @t38)) % 1.21/1.46 (define @t408 () (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool)) % 1.21/1.46 (define @t409 () (tptp.hAPP_f434788991l_bool @t408 @t38)) % 1.21/1.46 (define @t410 () (tptp.cOMBC_1732670874l_bool tptp.fequal_fun_a_bool)) % 1.21/1.46 (define @t411 () (tptp.hAPP_f1631501043l_bool @t410 @t38)) % 1.21/1.46 (define @t412 () (tptp.cOMBC_nat_nat_bool tptp.fequal_nat)) % 1.21/1.46 (define @t413 () (tptp.hAPP_n1699378549t_bool @t412 @t38)) % 1.21/1.46 (define @t414 () (tptp.cOMBC_1149511130e_bool tptp.fequal_pname)) % 1.21/1.46 (define @t415 () (tptp.hAPP_p61793385e_bool @t414 @t38)) % 1.21/1.46 (define @t416 () (tptp.cOMBC_a_a_bool tptp.fequal_a)) % 1.21/1.46 (define @t417 () (tptp.hAPP_a_fun_a_bool @t416 @t38)) % 1.21/1.46 (define @t418 () (@list @t38 @t138)) % 1.21/1.46 (define @t419 () (@var "Y_2" $$unsorted)) % 1.21/1.46 (define @t420 () (tptp.insert_pname @t419 @t21)) % 1.21/1.46 (define @t421 () (@list @t108 @t419 @t21)) % 1.21/1.46 (define @t422 () (tptp.insert_nat @t419 @t21)) % 1.21/1.46 (define @t423 () (tptp.insert_a @t419 @t21)) % 1.21/1.46 (define @t424 () (tptp.hBOOL (tptp.hAPP_pname_bool @t21 @t108))) % 1.21/1.46 (define @t425 () (= @t419 @t108)) % 1.21/1.46 (define @t426 () (@list @t419 @t21 @t108)) % 1.21/1.46 (define @t427 () (tptp.hBOOL (tptp.hAPP_nat_bool @t21 @t108))) % 1.21/1.46 (define @t428 () (tptp.hBOOL (tptp.hAPP_a_bool @t21 @t108))) % 1.21/1.46 (define @t429 () (tptp.insert_nat @t108 @t70)) % 1.21/1.46 (define @t430 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t125 @t70))) % 1.21/1.46 (define @t431 () (@list @t70 @t108 @t21)) % 1.21/1.46 (define @t432 () (tptp.insert_pname @t108 @t70)) % 1.21/1.46 (define @t433 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t129 @t70))) % 1.21/1.46 (define @t434 () (tptp.insert_a @t108 @t70)) % 1.21/1.46 (define @t435 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t133 @t70))) % 1.21/1.46 (define @t436 () (@list @t108 @t21 @t70)) % 1.21/1.46 (define @t437 () (@list @t138)) % 1.21/1.46 (define @t438 () (@var "C_6" $$unsorted)) % 1.21/1.46 (define @t439 () (@list @t438 @t21 @t70)) % 1.21/1.46 (define @t440 () (@var "Z_1" $$unsorted)) % 1.21/1.46 (define @t441 () (@list @t50 @t108 @t21)) % 1.21/1.46 (define @t442 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t359) @t69))) % 1.21/1.46 (define @t443 () (@list @t340 @t50 @t108 @t21)) % 1.21/1.46 (define @t444 () (@var "Xa" $$unsorted)) % 1.21/1.46 (define @t445 () (@list @t297 @t444)) % 1.21/1.46 (define @t446 () (@list @t70 @t38)) % 1.21/1.46 (define @t447 () (@list @t340 @t21 @t70)) % 1.21/1.46 (define @t448 () (@var "D_1" $$unsorted)) % 1.21/1.46 (define @t449 () (@list @t38 @t438 @t448)) % 1.21/1.46 (define @t450 () (tptp.image_a_pname @t50 @t70)) % 1.21/1.46 (define @t451 () (@list @t50 @t38 @t70)) % 1.21/1.46 (define @t452 () (tptp.image_a_nat @t50 @t70)) % 1.21/1.46 (define @t453 () (tptp.image_nat_a @t50 @t70)) % 1.21/1.46 (define @t454 () (tptp.image_pname_a @t50 @t70)) % 1.21/1.46 (define @t455 () (@var "AA" $$unsorted)) % 1.21/1.46 (define @t456 () (@list @t455)) % 1.21/1.46 (define @t457 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t455) @t21))) % 1.21/1.46 (define @t458 () (tptp.is_fun_a_bool @t455)) % 1.21/1.46 (define @t459 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t66)) % 1.21/1.46 (define @t460 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t62)) % 1.21/1.46 (define @t461 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t245)) % 1.21/1.46 (define @t462 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t69)) % 1.21/1.46 (define @t463 () (not @t302)) % 1.21/1.46 (define @t464 () (@list @t340 @t50 @t21)) % 1.21/1.46 (define @t465 () (not @t316)) % 1.21/1.46 (define @t466 () (not @t309)) % 1.21/1.46 (define @t467 () (@list @t70 @t21)) % 1.21/1.46 (define @t468 () (@list @t50 @t70 @t21)) % 1.21/1.46 (define @t469 () (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool @t108)) % 1.21/1.46 (define @t470 () (@list @t108)) % 1.21/1.46 (define @t471 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t108)) % 1.21/1.46 (define @t472 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t108)) % 1.21/1.46 (define @t473 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t108)) % 1.21/1.46 (define @t474 () (@var "X_10" $$unsorted)) % 1.21/1.46 (define @t475 () (@var "N_1" $$unsorted)) % 1.21/1.46 (define @t476 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t301 @t475))) % 1.21/1.46 (define @t477 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t475))) % 1.21/1.46 (define @t478 () (@list @t475)) % 1.21/1.46 (define @t479 () (@var "G_1" $$unsorted)) % 1.21/1.46 (define @t480 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t50) @t479))) % 1.21/1.46 (define @t481 () (@list @t50 @t479)) % 1.21/1.46 (define @t482 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t50) @t479))) % 1.21/1.46 (define @t483 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t50) @t479))) % 1.21/1.46 (define @t484 () (@list @t108 @t50 @t479)) % 1.21/1.46 (define @t485 () (@list @t38)) % 1.21/1.46 (define @t486 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool tptp.bot_bo844097828e_bool)) % 1.21/1.46 (define @t487 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool tptp.bot_bot_fun_nat_bool)) % 1.21/1.46 (define @t488 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.bot_bot_fun_a_bool)) % 1.21/1.46 (define @t489 () (= @t21 tptp.bot_bot_fun_nat_bool)) % 1.21/1.46 (define @t490 () (= @t21 tptp.bot_bo844097828e_bool)) % 1.21/1.46 (define @t491 () (= @t21 tptp.bot_bot_fun_a_bool)) % 1.21/1.46 (define @t492 () (forall @t303 (=> @t317 (not (tptp.hBOOL (tptp.hAPP_pname_bool @t138 @t297)))))) % 1.21/1.46 (define @t493 () (forall @t303 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t138 @t297))))) % 1.21/1.46 (define @t494 () (forall @t303 (=> @t328 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t138 @t297)))))) % 1.21/1.46 (define @t495 () (forall @t303 (=> @t334 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t138 @t297)))))) % 1.21/1.46 (define @t496 () (forall @t303 (=> @t310 (not (tptp.hBOOL (tptp.hAPP_a_bool @t138 @t297)))))) % 1.21/1.46 (define @t497 () (forall @t303 (not (tptp.hBOOL (tptp.hAPP_nat_bool @t138 @t297))))) % 1.21/1.46 (define @t498 () (@list @t365)) % 1.21/1.46 (define @t499 () (not @t490)) % 1.21/1.46 (define @t500 () (tptp.hBOOL tptp.bot_bot_bool)) % 1.21/1.46 (define @t501 () (= @t38 tptp.bot_bo844097828e_bool)) % 1.21/1.46 (define @t502 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t38)) % 1.21/1.46 (define @t503 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t502 tptp.bot_bo844097828e_bool))) % 1.21/1.46 (define @t504 () (tptp.is_fun_pname_bool @t38)) % 1.21/1.46 (define @t505 () (tptp.hBOOL @t38)) % 1.21/1.46 (define @t506 () (= @t505 @t500)) % 1.21/1.46 (define @t507 () (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool @t38)) % 1.21/1.46 (define @t508 () (tptp.hBOOL (tptp.hAPP_bool_bool @t507 tptp.bot_bot_bool))) % 1.21/1.46 (define @t509 () (= @t38 tptp.bot_bot_fun_nat_bool)) % 1.21/1.46 (define @t510 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t38)) % 1.21/1.46 (define @t511 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t510 tptp.bot_bot_fun_nat_bool))) % 1.21/1.46 (define @t512 () (= @t38 tptp.bot_bot_fun_a_bool)) % 1.21/1.46 (define @t513 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t38)) % 1.21/1.46 (define @t514 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t513 tptp.bot_bot_fun_a_bool))) % 1.21/1.46 (define @t515 () (tptp.is_fun_a_bool @t38)) % 1.21/1.46 (define @t516 () (@var "A_9" $$unsorted)) % 1.21/1.46 (define @t517 () (@var "A_8" $$unsorted)) % 1.21/1.46 (define @t518 () (tptp.insert_pname @t340 tptp.bot_bo844097828e_bool)) % 1.21/1.46 (define @t519 () (tptp.insert_pname @t38 tptp.bot_bo844097828e_bool)) % 1.21/1.46 (define @t520 () (@list @t38 @t340)) % 1.21/1.46 (define @t521 () (tptp.insert_nat @t340 tptp.bot_bot_fun_nat_bool)) % 1.21/1.46 (define @t522 () (tptp.insert_nat @t38 tptp.bot_bot_fun_nat_bool)) % 1.21/1.46 (define @t523 () (tptp.insert_a @t340 tptp.bot_bot_fun_a_bool)) % 1.21/1.46 (define @t524 () (tptp.insert_a @t38 tptp.bot_bot_fun_a_bool)) % 1.21/1.46 (define @t525 () (= @t340 @t38)) % 1.21/1.46 (define @t526 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t341 @t522))) % 1.21/1.46 (define @t527 () (@list @t340 @t38)) % 1.21/1.46 (define @t528 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t349 @t519))) % 1.21/1.46 (define @t529 () (and @t390 @t391)) % 1.21/1.46 (define @t530 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t353 @t524))) % 1.21/1.46 (define @t531 () (and @t395 @t396)) % 1.21/1.46 (define @t532 () (= @t340 @t365)) % 1.21/1.46 (define @t533 () (@var "D" $$unsorted)) % 1.21/1.46 (define @t534 () (or (and (= @t38 @t365) (= @t340 @t533)) (and (= @t38 @t533) @t532))) % 1.21/1.46 (define @t535 () (@list @t38 @t340 @t365 @t533)) % 1.21/1.46 (define @t536 () (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj @t413) @t138))) % 1.21/1.46 (define @t537 () (tptp.hBOOL (tptp.hAPP_nat_bool @t138 @t38))) % 1.21/1.46 (define @t538 () (not @t537)) % 1.21/1.46 (define @t539 () (@list @t138 @t38)) % 1.21/1.46 (define @t540 () (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj @t415) @t138))) % 1.21/1.46 (define @t541 () (tptp.hBOOL (tptp.hAPP_pname_bool @t138 @t38))) % 1.21/1.46 (define @t542 () (not @t541)) % 1.21/1.46 (define @t543 () (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj @t417) @t138))) % 1.21/1.46 (define @t544 () (tptp.hBOOL (tptp.hAPP_a_bool @t138 @t38))) % 1.21/1.46 (define @t545 () (not @t544)) % 1.21/1.46 (define @t546 () (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj @t407) @t138))) % 1.21/1.46 (define @t547 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t138 @t38))) % 1.21/1.46 (define @t548 () (not @t547)) % 1.21/1.46 (define @t549 () (tptp.insert_fun_nat_bool @t38 tptp.bot_bo1701429464l_bool)) % 1.21/1.46 (define @t550 () (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj @t409) @t138))) % 1.21/1.46 (define @t551 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t138 @t38))) % 1.21/1.46 (define @t552 () (not @t551)) % 1.21/1.46 (define @t553 () (tptp.insert1325755072e_bool @t38 tptp.bot_bo1649642514l_bool)) % 1.21/1.46 (define @t554 () (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj @t411) @t138))) % 1.21/1.46 (define @t555 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t138 @t38))) % 1.21/1.46 (define @t556 () (not @t555)) % 1.21/1.46 (define @t557 () (tptp.insert_fun_a_bool @t38 tptp.bot_bo1389914601l_bool)) % 1.21/1.46 (define @t558 () (tptp.hAPP_n1699378549t_bool tptp.fequal_nat @t38)) % 1.21/1.46 (define @t559 () (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj @t558) @t138))) % 1.21/1.46 (define @t560 () (tptp.hAPP_p61793385e_bool tptp.fequal_pname @t38)) % 1.21/1.46 (define @t561 () (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj @t560) @t138))) % 1.21/1.46 (define @t562 () (tptp.hAPP_a_fun_a_bool tptp.fequal_a @t38)) % 1.21/1.46 (define @t563 () (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fconj @t562) @t138))) % 1.21/1.46 (define @t564 () (tptp.hAPP_f103356543l_bool tptp.fequal_fun_nat_bool @t38)) % 1.21/1.46 (define @t565 () (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj @t564) @t138))) % 1.21/1.46 (define @t566 () (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool @t38)) % 1.21/1.46 (define @t567 () (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj @t566) @t138))) % 1.21/1.46 (define @t568 () (tptp.hAPP_f1631501043l_bool tptp.fequal_fun_a_bool @t38)) % 1.21/1.46 (define @t569 () (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj @t568) @t138))) % 1.21/1.46 (define @t570 () (tptp.insert_nat @t108 tptp.bot_bot_fun_nat_bool)) % 1.21/1.46 (define @t571 () (@list @t21 @t108)) % 1.21/1.46 (define @t572 () (tptp.insert_pname @t108 tptp.bot_bo844097828e_bool)) % 1.21/1.46 (define @t573 () (tptp.insert_a @t108 tptp.bot_bot_fun_a_bool)) % 1.21/1.46 (define @t574 () (tptp.image_pname_a (tptp.cOMBK_a_pname @t365) @t21)) % 1.21/1.46 (define @t575 () (= @t574 (tptp.insert_a @t365 tptp.bot_bot_fun_a_bool))) % 1.21/1.46 (define @t576 () (@var "X_9" $$unsorted)) % 1.21/1.46 (define @t577 () (@var "Y_8" $$unsorted)) % 1.21/1.46 (define @t578 () (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool @t440)) % 1.21/1.46 (define @t579 () (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool @t419)) % 1.21/1.46 (define @t580 () (tptp.hBOOL (tptp.hAPP_bool_bool @t579 @t108))) % 1.21/1.46 (define @t581 () (@list @t440 @t419 @t108)) % 1.21/1.46 (define @t582 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t440)) % 1.21/1.46 (define @t583 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t419)) % 1.21/1.46 (define @t584 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t583 @t108))) % 1.21/1.46 (define @t585 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t440)) % 1.21/1.46 (define @t586 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t419)) % 1.21/1.46 (define @t587 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t586 @t108))) % 1.21/1.46 (define @t588 () (@var "X_8" $$unsorted)) % 1.21/1.46 (define @t589 () (@var "Z_3" $$unsorted)) % 1.21/1.46 (define @t590 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t589)) % 1.21/1.46 (define @t591 () (@var "Y_7" $$unsorted)) % 1.21/1.46 (define @t592 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t440)) % 1.21/1.46 (define @t593 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t419)) % 1.21/1.46 (define @t594 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t593 @t108))) % 1.21/1.46 (define @t595 () (= (tptp.hBOOL @t108) (tptp.hBOOL @t419))) % 1.21/1.46 (define @t596 () (tptp.hBOOL (tptp.hAPP_bool_bool @t469 @t419))) % 1.21/1.46 (define @t597 () (@list @t419 @t108)) % 1.21/1.46 (define @t598 () (= @t108 @t419)) % 1.21/1.46 (define @t599 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t472 @t419))) % 1.21/1.46 (define @t600 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t471 @t419))) % 1.21/1.46 (define @t601 () (tptp.is_fun_pname_bool @t108)) % 1.21/1.46 (define @t602 () (tptp.is_fun_pname_bool @t419)) % 1.21/1.46 (define @t603 () (and @t602 @t601)) % 1.21/1.46 (define @t604 () (@var "Y_6" $$unsorted)) % 1.21/1.46 (define @t605 () (@var "X_7" $$unsorted)) % 1.21/1.46 (define @t606 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t473 @t419))) % 1.21/1.46 (define @t607 () (tptp.is_fun_a_bool @t108)) % 1.21/1.46 (define @t608 () (tptp.is_fun_a_bool @t419)) % 1.21/1.46 (define @t609 () (and @t608 @t607)) % 1.21/1.46 (define @t610 () (@list @t440 @t108 @t419)) % 1.21/1.46 (define @t611 () (@var "Z_2" $$unsorted)) % 1.21/1.46 (define @t612 () (@var "X_6" $$unsorted)) % 1.21/1.46 (define @t613 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t612)) % 1.21/1.46 (define @t614 () (@var "Y_5" $$unsorted)) % 1.21/1.46 (define @t615 () (@list @t108 @t419)) % 1.21/1.46 (define @t616 () (and @t601 @t602)) % 1.21/1.46 (define @t617 () (@var "Y_4" $$unsorted)) % 1.21/1.46 (define @t618 () (@var "X_5" $$unsorted)) % 1.21/1.46 (define @t619 () (and @t607 @t608)) % 1.21/1.46 (define @t620 () (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool @t365)) % 1.21/1.46 (define @t621 () (tptp.hBOOL (tptp.hAPP_bool_bool @t620 @t38))) % 1.21/1.46 (define @t622 () (tptp.hBOOL @t340)) % 1.21/1.46 (define @t623 () (= @t622 (tptp.hBOOL @t365))) % 1.21/1.46 (define @t624 () (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool @t340)) % 1.21/1.46 (define @t625 () (@list @t365 @t340 @t38)) % 1.21/1.46 (define @t626 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t365)) % 1.21/1.46 (define @t627 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t626 @t38))) % 1.21/1.46 (define @t628 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t340)) % 1.21/1.46 (define @t629 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t365)) % 1.21/1.46 (define @t630 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t629 @t38))) % 1.21/1.46 (define @t631 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t340)) % 1.21/1.46 (define @t632 () (@var "A_7" $$unsorted)) % 1.21/1.46 (define @t633 () (@var "C_5" $$unsorted)) % 1.21/1.46 (define @t634 () (@var "B_5" $$unsorted)) % 1.21/1.46 (define @t635 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t365)) % 1.21/1.46 (define @t636 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t635 @t38))) % 1.21/1.46 (define @t637 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t340)) % 1.21/1.46 (define @t638 () (tptp.hBOOL (tptp.hAPP_bool_bool @t507 @t365))) % 1.21/1.46 (define @t639 () (@list @t365 @t38 @t340)) % 1.21/1.46 (define @t640 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t510 @t365))) % 1.21/1.46 (define @t641 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t502 @t365))) % 1.21/1.46 (define @t642 () (@var "C_4" $$unsorted)) % 1.21/1.46 (define @t643 () (@var "A_6" $$unsorted)) % 1.21/1.46 (define @t644 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t643)) % 1.21/1.46 (define @t645 () (@var "B_4" $$unsorted)) % 1.21/1.46 (define @t646 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t513 @t365))) % 1.21/1.46 (define @t647 () (= @t505 @t622)) % 1.21/1.46 (define @t648 () (@var "A_5" $$unsorted)) % 1.21/1.46 (define @t649 () (@var "C_3" $$unsorted)) % 1.21/1.46 (define @t650 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t649)) % 1.21/1.46 (define @t651 () (@var "B_3" $$unsorted)) % 1.21/1.46 (define @t652 () (@var "C_2" $$unsorted)) % 1.21/1.46 (define @t653 () (@var "A_4" $$unsorted)) % 1.21/1.46 (define @t654 () (@var "B_2" $$unsorted)) % 1.21/1.46 (define @t655 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t108) @t419))) % 1.21/1.46 (define @t656 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t419) @t108))) % 1.21/1.46 (define @t657 () (@var "Y_3" $$unsorted)) % 1.21/1.46 (define @t658 () (@var "X_4" $$unsorted)) % 1.21/1.46 (define @t659 () (@var "X_2" $$unsorted)) % 1.21/1.46 (define @t660 () (@var "Y_1" $$unsorted)) % 1.21/1.46 (define @t661 () (@var "F_2" $$unsorted)) % 1.21/1.46 (define @t662 () (@var "A_2" $$unsorted)) % 1.21/1.46 (define @t663 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t662)) % 1.21/1.46 (define @t664 () (@list @t662 @t661)) % 1.21/1.46 (define @t665 () (@list @t138 @t21 @t29)) % 1.21/1.46 (define @t666 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t662)) % 1.21/1.46 (define @t667 () (tptp.hAPP_a85458249l_bool tptp.member_a @t662)) % 1.21/1.46 (define @t668 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t138 @t29))) % 1.21/1.46 (define @t669 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t138 @t661))) % 1.21/1.46 (define @t670 () (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool @t662)) % 1.21/1.46 (define @t671 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t661))) % 1.21/1.46 (define @t672 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t138 tptp.bot_bo1701429464l_bool))) % 1.21/1.46 (define @t673 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t138 @t29))) % 1.21/1.46 (define @t674 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t138 @t661))) % 1.21/1.46 (define @t675 () (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool @t662)) % 1.21/1.46 (define @t676 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t661))) % 1.21/1.46 (define @t677 () (tptp.is_fun1661590463l_bool @t661)) % 1.21/1.46 (define @t678 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t138 tptp.bot_bo1649642514l_bool))) % 1.21/1.46 (define @t679 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t138 @t29))) % 1.21/1.46 (define @t680 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t138 @t661))) % 1.21/1.46 (define @t681 () (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool @t662)) % 1.21/1.46 (define @t682 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t661))) % 1.21/1.46 (define @t683 () (tptp.is_fun949378684l_bool @t661)) % 1.21/1.46 (define @t684 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t138 tptp.bot_bo1389914601l_bool))) % 1.21/1.46 (define @t685 () (@var "Pn" $$unsorted)) % 1.21/1.46 (define @t686 () (tptp.hAPP_pname_a tptp.mgt_call @t685)) % 1.21/1.46 (define @t687 () (tptp.the_com (tptp.body @t685))) % 1.21/1.46 (define @t688 () (@list @t297 @t661)) % 1.21/1.46 (define @t689 () (@list @t138 @t29)) % 1.21/1.46 (define @t690 () (@var "U" $$unsorted)) % 1.21/1.46 (define @t691 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t201) @t172))) % 1.21/1.46 (define @t692 () (tptp.plus_plus_nat @t160)) % 1.21/1.46 (define @t693 () (tptp.hAPP_nat_nat @t692 @t159)) % 1.21/1.46 (define @t694 () (tptp.hAPP_nat_nat tptp.suc @t693)) % 1.21/1.46 (define @t695 () (tptp.hAPP_nat_nat @t692 @t181)) % 1.21/1.46 (define @t696 () (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t163) @t159)) % 1.21/1.46 (define @t697 () (tptp.plus_plus_nat @t199)) % 1.21/1.46 (define @t698 () (tptp.hAPP_nat_nat @t697 @t169)) % 1.21/1.46 (define @t699 () (tptp.plus_plus_nat @t169)) % 1.21/1.46 (define @t700 () (tptp.hAPP_nat_nat @t699 @t172)) % 1.21/1.46 (define @t701 () (tptp.hAPP_nat_nat @t699 @t199)) % 1.21/1.46 (define @t702 () (@list @t169 @t199 @t172)) % 1.21/1.46 (define @t703 () (tptp.plus_plus_nat @t159)) % 1.21/1.46 (define @t704 () (tptp.hAPP_nat_nat @t703 @t187)) % 1.21/1.46 (define @t705 () (@var "Z" $$unsorted)) % 1.21/1.46 (define @t706 () (tptp.plus_plus_nat @t176)) % 1.21/1.46 (define @t707 () (tptp.plus_plus_nat @t175)) % 1.21/1.46 (define @t708 () (tptp.hAPP_nat_nat @t707 @t705)) % 1.21/1.46 (define @t709 () (tptp.hAPP_nat_nat @t703 @t160)) % 1.21/1.46 (define @t710 () (tptp.minus_minus_nat @t709)) % 1.21/1.46 (define @t711 () (tptp.plus_plus_nat @t190)) % 1.21/1.46 (define @t712 () (tptp.hAPP_nat_nat @t711 @t187)) % 1.21/1.46 (define @t713 () (tptp.plus_plus_nat @t187)) % 1.21/1.46 (define @t714 () (tptp.hAPP_nat_nat @t713 @t159)) % 1.21/1.46 (define @t715 () (tptp.hAPP_nat_nat @t713 @t160)) % 1.21/1.46 (define @t716 () (tptp.hAPP_nat_nat @t692 @t187)) % 1.21/1.46 (define @t717 () (tptp.minus_minus_nat @t716)) % 1.21/1.46 (define @t718 () (@list @t160 @t187 @t159)) % 1.21/1.46 (define @t719 () (@var "K_1" $$unsorted)) % 1.21/1.46 (define @t720 () (tptp.hAPP_nat_nat @t697 @t719)) % 1.21/1.46 (define @t721 () (@list @t719)) % 1.21/1.46 (define @t722 () (tptp.hAPP_nat_nat @t711 @t160)) % 1.21/1.46 (define @t723 () (@list @t160 @t188 @t190)) % 1.21/1.46 (define @t724 () (tptp.hAPP_nat_nat @t692 @t190)) % 1.21/1.46 (define @t725 () (tptp.plus_plus_nat @t188)) % 1.21/1.46 (define @t726 () (tptp.hAPP_nat_nat @t725 @t187)) % 1.21/1.46 (define @t727 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t726)) % 1.21/1.46 (define @t728 () (tptp.hAPP_nat_nat @t711 @t221)) % 1.21/1.46 (define @t729 () (@list @t187 @t221 @t188 @t190)) % 1.21/1.46 (define @t730 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t716) @t159))) % 1.21/1.46 (define @t731 () (tptp.minus_minus_nat @t190)) % 1.21/1.46 (define @t732 () (tptp.hAPP_nat_nat @t731 @t187)) % 1.21/1.46 (define @t733 () (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t732) @t188)) % 1.21/1.46 (define @t734 () (tptp.hAPP_nat_nat @t711 @t188)) % 1.21/1.46 (define @t735 () (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t734) @t187)) % 1.21/1.46 (define @t736 () (tptp.hBOOL (tptp.hAPP_nat_bool @t218 @t190))) % 1.21/1.46 (define @t737 () (@list @t188 @t187 @t190)) % 1.21/1.46 (define @t738 () (tptp.hAPP_nat_nat @t725 @t732)) % 1.21/1.46 (define @t739 () (tptp.hAPP_nat_nat @t725 @t190)) % 1.21/1.46 (define @t740 () (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t739) @t187)) % 1.21/1.46 (define @t741 () (@var "J_1" $$unsorted)) % 1.21/1.46 (define @t742 () (tptp.minus_minus_nat @t741)) % 1.21/1.46 (define @t743 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t398)) % 1.21/1.46 (define @t744 () (tptp.hBOOL (tptp.hAPP_nat_bool @t743 @t741))) % 1.21/1.46 (define @t745 () (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t398) @t169)) % 1.21/1.46 (define @t746 () (tptp.hAPP_nat_nat @t742 @t169)) % 1.21/1.46 (define @t747 () (= (tptp.hAPP_nat_nat @t703 @t162) @t160)) % 1.21/1.46 (define @t748 () (tptp.hAPP_nat_nat tptp.suc @t190)) % 1.21/1.46 (define @t749 () (tptp.hAPP_nat_nat tptp.suc @t732)) % 1.21/1.46 (define @t750 () (@list @t160 @t187 @t190)) % 1.21/1.46 (define @t751 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t176)) % 1.21/1.46 (define @t752 () (tptp.hBOOL (tptp.hAPP_nat_bool @t751 @t708))) % 1.21/1.46 (define @t753 () (tptp.hBOOL (tptp.hAPP_nat_bool @t751 @t175))) % 1.21/1.46 (define @t754 () (@list @t705 @t176 @t175)) % 1.21/1.46 (define @t755 () (@list @t175 @t176 @t705)) % 1.21/1.46 (define @t756 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t159)) % 1.21/1.46 (define @t757 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t163)) % 1.21/1.46 (define @t758 () (tptp.hBOOL (tptp.hAPP_nat_bool @t757 @t181))) % 1.21/1.46 (define @t759 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t160)) % 1.21/1.46 (define @t760 () (tptp.hBOOL (tptp.hAPP_nat_bool @t759 @t159))) % 1.21/1.46 (define @t761 () (tptp.cOMBC_nat_nat_bool tptp.ord_less_nat)) % 1.21/1.46 (define @t762 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t176)) % 1.21/1.46 (define @t763 () (tptp.hBOOL (tptp.hAPP_nat_bool @t762 @t708))) % 1.21/1.46 (define @t764 () (tptp.hBOOL (tptp.hAPP_nat_bool @t762 @t175))) % 1.21/1.46 (define @t765 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t188)) % 1.21/1.46 (define @t766 () (tptp.hBOOL (tptp.hAPP_nat_bool @t765 @t187))) % 1.21/1.46 (define @t767 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t739)) % 1.21/1.46 (define @t768 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t187) @t221))) % 1.21/1.46 (define @t769 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t726)) % 1.21/1.46 (define @t770 () (tptp.hBOOL (tptp.hAPP_nat_bool @t765 @t190))) % 1.21/1.46 (define @t771 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t199)) % 1.21/1.46 (define @t772 () (tptp.hBOOL (tptp.hAPP_nat_bool @t771 @t172))) % 1.21/1.46 (define @t773 () (tptp.hBOOL (tptp.hAPP_nat_bool @t757 @t159))) % 1.21/1.46 (define @t774 () (not @t760)) % 1.21/1.46 (define @t775 () (tptp.hBOOL (tptp.hAPP_nat_bool @t759 @t181))) % 1.21/1.46 (define @t776 () (tptp.hAPP_nat_nat tptp.suc @t188)) % 1.21/1.46 (define @t777 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t776) @t187))) % 1.21/1.46 (define @t778 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t190) @t187))) % 1.21/1.46 (define @t779 () (tptp.hBOOL (tptp.hAPP_nat_bool @t756 @t160))) % 1.21/1.46 (define @t780 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t172)) % 1.21/1.46 (define @t781 () (tptp.hBOOL (tptp.hAPP_nat_bool @t780 @t201))) % 1.21/1.46 (define @t782 () (= @t781 (= @t172 @t199))) % 1.21/1.46 (define @t783 () (tptp.hBOOL (tptp.hAPP_nat_bool @t780 @t199))) % 1.21/1.46 (define @t784 () (or @t772 @t220)) % 1.21/1.46 (define @t785 () (tptp.hBOOL (tptp.hAPP_nat_bool @t771 @t173))) % 1.21/1.46 (define @t786 () (not @t183)) % 1.21/1.46 (define @t787 () (not @t220)) % 1.21/1.46 (define @t788 () (not @t177)) % 1.21/1.46 (define @t789 () (@var "T" $$unsorted)) % 1.21/1.46 (define @t790 () (@var "S" $$unsorted)) % 1.21/1.46 (define @t791 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool @t138 @t172) @t199))) % 1.21/1.46 (define @t792 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t297)) % 1.21/1.46 (define @t793 () (@list @t188 @t160)) % 1.21/1.46 (define @t794 () (@var "C" $$unsorted)) % 1.21/1.46 (define @t795 () (@var "B" $$unsorted)) % 1.21/1.46 (define @t796 () (@var "A" $$unsorted)) % 1.21/1.46 (define @t797 () (@var "I_2" $$unsorted)) % 1.21/1.46 (define @t798 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t797)) % 1.21/1.46 (define @t799 () (@var "J" $$unsorted)) % 1.21/1.46 (define @t800 () (not (forall (@list @t799) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t765 @t799)) (not (= @t187 (tptp.hAPP_nat_nat tptp.suc @t799))))))) % 1.21/1.46 (define @t801 () (@list @t188 @t187)) % 1.21/1.46 (define @t802 () (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) % 1.21/1.46 (define @t803 () (= @t172 tptp.zero_zero_nat)) % 1.21/1.46 (define @t804 () (or (and (= @t199 @t802) @t803) (and (= @t199 tptp.zero_zero_nat) (= @t172 @t802)))) % 1.21/1.46 (define @t805 () (tptp.hAPP_nat_nat @t697 @t172)) % 1.21/1.46 (define @t806 () (= @t162 tptp.zero_zero_nat)) % 1.21/1.46 (define @t807 () (@list @t160)) % 1.21/1.46 (define @t808 () (@var "Nat_1" $$unsorted)) % 1.21/1.46 (define @t809 () (@var "Nat" $$unsorted)) % 1.21/1.46 (define @t810 () (@var "P" $$unsorted)) % 1.21/1.46 (define @t811 () (tptp.hBOOL @t810)) % 1.21/1.46 (define @t812 () (not @t811)) % 1.21/1.46 (define @t813 () (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot @t810))) % 1.21/1.46 (define @t814 () (@list @t810)) % 1.21/1.46 (define @t815 () (@var "Q" $$unsorted)) % 1.21/1.46 (define @t816 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj @t810) @t815))) % 1.21/1.46 (define @t817 () (tptp.hBOOL @t815)) % 1.21/1.46 (define @t818 () (not @t817)) % 1.21/1.46 (define @t819 () (@list @t815 @t810)) % 1.21/1.46 (define @t820 () (not @t816)) % 1.21/1.46 (define @t821 () (@list @t810 @t815)) % 1.21/1.46 (define @t822 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj @t810) @t815))) % 1.21/1.46 (define @t823 () (tptp.is_bool @t810)) % 1.21/1.46 (define @t824 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies @t810) @t815))) % 1.21/1.46 (define @t825 () (tptp.hBOOL (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool tptp.fequal_a @t176) @t175))) % 1.21/1.46 (define @t826 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat @t176) @t175))) % 1.21/1.46 (define @t827 () (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool tptp.fequal_pname @t176) @t175))) % 1.21/1.46 (define @t828 () (@var "R" $$unsorted)) % 1.21/1.46 (define @t829 () (@list @t810 @t815 @t828)) % 1.21/1.46 (define @t830 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.fequal_fun_a_bool @t176) @t175))) % 1.21/1.46 (define @t831 () (tptp.hAPP_a_bool @t815 @t828)) % 1.21/1.46 (define @t832 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.fequal_fun_nat_bool @t176) @t175))) % 1.21/1.46 (define @t833 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool @t176) @t175))) % 1.21/1.46 (define @t834 () (tptp.hAPP_nat_bool @t815 @t828)) % 1.21/1.46 (define @t835 () (tptp.hAPP_pname_bool @t815 @t828)) % 1.21/1.46 (define @t836 () (tptp.hAPP_fun_a_bool_bool @t815 @t828)) % 1.21/1.46 (define @t837 () (tptp.hAPP_f54304608l_bool @t815 @t828)) % 1.21/1.46 (define @t838 () (tptp.hAPP_f1664156314l_bool @t815 @t828)) % 1.21/1.46 (define @t839 () (tptp.image_pname_a tptp.mgt_call tptp.u)) % 1.21/1.46 (define @t840 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) @t839))) % 1.21/1.46 (define @t841 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t839)) % 1.21/1.46 (define @t842 () (tptp.hAPP_nat_nat tptp.suc tptp.na)) % 1.21/1.46 (define @t843 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) % 1.21/1.46 (define @t844 () (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) % 1.21/1.46 (define @t845 () (tptp.hAPP_a85458249l_bool tptp.member_a @t844)) % 1.21/1.46 (define @t846 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a @t844 tptp.g)) @t839))) % 1.21/1.46 (define @t847 () (or @t131 @t442)) % 1.21/1.46 (define @t848 () (not (= @t359 @t359))) % 1.21/1.46 (define @t849 () (or @t848 @t131 @t442)) % 1.21/1.46 (define @t850 () (@list @t21 @t50 @t108)) % 1.21/1.46 (define @t851 () (not @t360)) % 1.21/1.46 (define @t852 () (or @t851 @t851 @t131 @t357)) % 1.21/1.46 (define @t853 () (@list @t340)) % 1.21/1.46 (define @t854 () (or @t851 @t131 @t357)) % 1.21/1.46 (define @t855 () (forall @t853 @t854)) % 1.21/1.46 (define @t856 () (forall @t850 @t855)) % 1.21/1.46 (define @t857 () (forall (@list @t21 @t50 @t108 @t340) @t854)) % 1.21/1.46 (define @t858 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t845 @t839))) % 1.21/1.46 (define @t859 () (and @t858 @t840)) % 1.21/1.46 (define @t860 () (= @t846 @t859)) % 1.21/1.46 (define @t861 () (not @t859)) % 1.21/1.46 (define @t862 () (@list true false)) % 1.21/1.46 (define @t863 () (not @t858)) % 1.21/1.46 (define @t864 () (@list false true)) % 1.21/1.46 (define @t865 () (not @t843)) % 1.21/1.46 (define @t866 () (or @t865 @t858)) % 1.21/1.46 (define @t867 () (not @t866)) % 1.21/1.46 (define @t868 () (forall @t850 @t847)) % 1.21/1.46 (assume @p1 (forall @t4 (=> @t3 (tptp.is_fun_a_bool (tptp.cOMBB_bool_bool_a @t2 @t1))))) % 1.21/1.46 (assume @p2 (forall @t4 (=> @t5 (tptp.is_fun_pname_bool (tptp.cOMBB_647938656_pname @t2 @t1))))) % 1.21/1.46 (assume @p3 (forall @t4 (=> @t6 (tptp.is_fun949378684l_bool (tptp.cOMBB_2140588453a_bool @t2 @t1))))) % 1.21/1.46 (assume @p4 (forall @t4 (=> @t7 (tptp.is_fun1661590463l_bool (tptp.cOMBB_307249310e_bool @t2 @t1))))) % 1.21/1.46 (assume @p5 (forall @t9 (=> @t8 (tptp.is_fun_a_bool (tptp.cOMBK_bool_a @t2))))) % 1.21/1.46 (assume @p6 (forall @t9 (=> @t8 (tptp.is_fun_pname_bool (tptp.cOMBK_bool_pname @t2))))) % 1.21/1.46 (assume @p7 (forall @t9 (=> @t8 (tptp.is_fun949378684l_bool (tptp.cOMBK_324466864a_bool @t2))))) % 1.21/1.46 (assume @p8 (forall @t9 (=> @t8 (tptp.is_fun1661590463l_bool (tptp.cOMBK_1857069011e_bool @t2))))) % 1.21/1.46 (assume @p9 (forall @t4 (=> @t3 (tptp.is_fun_a_bool (tptp.cOMBS_a_bool_bool @t2 @t1))))) % 1.21/1.46 (assume @p10 (forall @t4 (=> @t5 (tptp.is_fun_pname_bool (tptp.cOMBS_568398431l_bool @t2 @t1))))) % 1.21/1.46 (assume @p11 (forall @t4 (=> @t6 (tptp.is_fun949378684l_bool (tptp.cOMBS_1035972772l_bool @t2 @t1))))) % 1.21/1.46 (assume @p12 (forall @t4 (=> @t7 (tptp.is_fun1661590463l_bool (tptp.cOMBS_350070575l_bool @t2 @t1))))) % 1.21/1.46 (assume @p13 (tptp.is_fun949378684l_bool tptp.finite_finite_a)) % 1.21/1.46 (assume @p14 (tptp.is_fun1661590463l_bool tptp.finite_finite_pname)) % 1.21/1.46 (assume @p15 (tptp.is_a (tptp.undefined_a tptp.x_a))) % 1.21/1.46 (assume @p16 (tptp.is_pname (tptp.undefined_pname tptp.pname))) % 1.21/1.46 (assume @p17 (tptp.is_fun_a_bool (tptp.undefined_fun_a_bool @t10))) % 1.21/1.46 (assume @p18 (tptp.is_fun_pname_bool (tptp.undefi17486888e_bool @t11))) % 1.21/1.46 (assume @p19 (tptp.is_fun949378684l_bool (tptp.undefi1699038445l_bool (tptp.fun @t10 tptp.bool)))) % 1.21/1.46 (assume @p20 (tptp.is_fun1661590463l_bool (tptp.undefi64961550l_bool (tptp.fun @t11 tptp.bool)))) % 1.21/1.46 (assume @p21 (tptp.is_bool tptp.bot_bot_bool)) % 1.21/1.46 (assume @p22 (tptp.is_fun_a_bool tptp.bot_bot_fun_a_bool)) % 1.21/1.46 (assume @p23 (tptp.is_fun_pname_bool tptp.bot_bo844097828e_bool)) % 1.21/1.46 (assume @p24 (tptp.is_fun949378684l_bool tptp.bot_bo1389914601l_bool)) % 1.21/1.46 (assume @p25 (tptp.is_fun1661590463l_bool tptp.bot_bo1649642514l_bool)) % 1.21/1.46 (assume @p26 (forall @t9 (=> @t12 (tptp.is_fun_a_bool (tptp.collect_a @t2))))) % 1.21/1.46 (assume @p27 (forall @t9 (=> @t13 (tptp.is_fun_pname_bool (tptp.collect_pname @t2))))) % 1.21/1.46 (assume @p28 (forall @t9 (=> @t14 (tptp.is_fun949378684l_bool (tptp.collect_fun_a_bool @t2))))) % 1.21/1.46 (assume @p29 (forall @t9 (=> @t15 (tptp.is_fun1661590463l_bool (tptp.collec1974731493e_bool @t2))))) % 1.21/1.46 (assume @p30 (forall @t4 (=> @t3 (tptp.is_fun_a_bool (tptp.image_a_a @t2 @t1))))) % 1.21/1.46 (assume @p31 (forall @t4 (=> @t3 (tptp.is_fun_pname_bool (tptp.image_a_pname @t2 @t1))))) % 1.21/1.46 (assume @p32 (forall @t4 (=> @t3 (tptp.is_fun949378684l_bool (tptp.image_a_fun_a_bool @t2 @t1))))) % 1.21/1.46 (assume @p33 (forall @t4 (=> @t3 (tptp.is_fun1661590463l_bool (tptp.image_819518260e_bool @t2 @t1))))) % 1.21/1.46 (assume @p34 (forall @t4 (=> @t5 (tptp.is_fun_a_bool (tptp.image_pname_a @t2 @t1))))) % 1.21/1.46 (assume @p35 (forall @t4 (=> @t5 (tptp.is_fun_pname_bool (tptp.image_pname_pname @t2 @t1))))) % 1.21/1.46 (assume @p36 (forall @t4 (=> @t5 (tptp.is_fun949378684l_bool (tptp.image_112932426a_bool @t2 @t1))))) % 1.21/1.46 (assume @p37 (forall @t4 (=> @t5 (tptp.is_fun1661590463l_bool (tptp.image_47868345e_bool @t2 @t1))))) % 1.21/1.46 (assume @p38 (forall @t4 (tptp.is_fun_a_bool (tptp.image_nat_a @t2 @t1)))) % 1.21/1.46 (assume @p39 (forall @t4 (tptp.is_fun_pname_bool (tptp.image_nat_pname @t2 @t1)))) % 1.21/1.46 (assume @p40 (forall @t4 (tptp.is_fun949378684l_bool (tptp.image_nat_fun_a_bool @t2 @t1)))) % 1.21/1.46 (assume @p41 (forall @t4 (tptp.is_fun1661590463l_bool (tptp.image_1655916159e_bool @t2 @t1)))) % 1.21/1.46 (assume @p42 (forall @t4 (=> @t6 (tptp.is_fun_a_bool (tptp.image_fun_a_bool_a @t2 @t1))))) % 1.21/1.46 (assume @p43 (forall @t4 (=> @t6 (tptp.is_fun_pname_bool (tptp.image_1854862208_pname @t2 @t1))))) % 1.21/1.46 (assume @p44 (forall @t4 (=> @t7 (tptp.is_fun_a_bool (tptp.image_876012084bool_a @t2 @t1))))) % 1.21/1.46 (assume @p45 (forall @t4 (=> @t7 (tptp.is_fun_pname_bool (tptp.image_1283814551_pname @t2 @t1))))) % 1.21/1.46 (assume @p46 (forall @t4 (tptp.is_fun_a_bool (tptp.image_fun_nat_bool_a @t2 @t1)))) % 1.21/1.46 (assume @p47 (forall @t4 (tptp.is_fun_pname_bool (tptp.image_1921560913_pname @t2 @t1)))) % 1.21/1.46 (assume @p48 (forall @t4 (=> (and (tptp.is_a @t2) @t3) (tptp.is_fun_a_bool (tptp.insert_a @t2 @t1))))) % 1.21/1.46 (assume @p49 (forall @t4 (=> (and (tptp.is_pname @t2) @t5) (tptp.is_fun_pname_bool (tptp.insert_pname @t2 @t1))))) % 1.21/1.46 (assume @p50 (forall @t4 (=> (and @t12 @t6) (tptp.is_fun949378684l_bool (tptp.insert_fun_a_bool @t2 @t1))))) % 1.21/1.46 (assume @p51 (forall @t4 (=> (and @t13 @t7) (tptp.is_fun1661590463l_bool (tptp.insert1325755072e_bool @t2 @t1))))) % 1.21/1.46 (assume @p52 (tptp.is_bool tptp.fFalse)) % 1.21/1.46 (assume @p53 (tptp.is_bool tptp.fTrue)) % 1.21/1.46 (assume @p54 (forall @t4 (=> @t16 (tptp.is_a (tptp.hAPP_a_a @t2 @t1))))) % 1.21/1.46 (assume @p55 (forall @t4 (=> @t16 (tptp.is_pname (tptp.hAPP_a_pname @t2 @t1))))) % 1.21/1.46 (assume @p56 (forall @t4 (=> (and @t12 @t16) (tptp.is_bool (tptp.hAPP_a_bool @t2 @t1))))) % 1.21/1.46 (assume @p57 (forall @t4 (=> @t16 (tptp.is_fun_a_bool (tptp.hAPP_a_fun_a_bool @t2 @t1))))) % 1.21/1.46 (assume @p58 (forall @t4 (=> @t16 (tptp.is_fun_pname_bool (tptp.hAPP_a93125764e_bool @t2 @t1))))) % 1.21/1.46 (assume @p59 (forall @t4 (=> @t16 (tptp.is_fun949378684l_bool (tptp.hAPP_a85458249l_bool @t2 @t1))))) % 1.21/1.46 (assume @p60 (forall @t4 (=> @t16 (tptp.is_fun1661590463l_bool (tptp.hAPP_a217006258l_bool @t2 @t1))))) % 1.21/1.46 (assume @p61 (forall @t4 (=> @t17 (tptp.is_a (tptp.hAPP_pname_a @t2 @t1))))) % 1.21/1.46 (assume @p62 (forall @t4 (=> @t17 (tptp.is_pname (tptp.hAPP_pname_pname @t2 @t1))))) % 1.21/1.46 (assume @p63 (forall @t4 (=> (and @t13 @t17) (tptp.is_bool (tptp.hAPP_pname_bool @t2 @t1))))) % 1.21/1.46 (assume @p64 (forall @t4 (=> @t17 (tptp.is_fun_a_bool (tptp.hAPP_p1534023578a_bool @t2 @t1))))) % 1.21/1.46 (assume @p65 (forall @t4 (=> @t17 (tptp.is_fun_pname_bool (tptp.hAPP_p61793385e_bool @t2 @t1))))) % 1.21/1.46 (assume @p66 (forall @t4 (=> @t17 (tptp.is_fun949378684l_bool (tptp.hAPP_p1824510254l_bool @t2 @t1))))) % 1.21/1.46 (assume @p67 (forall @t4 (=> @t17 (tptp.is_fun1661590463l_bool (tptp.hAPP_p338031245l_bool @t2 @t1))))) % 1.21/1.46 (assume @p68 (forall @t4 (=> (tptp.is_bool @t1) (tptp.is_bool (tptp.hAPP_bool_bool @t2 @t1))))) % 1.21/1.46 (assume @p69 (forall @t4 (tptp.is_a (tptp.hAPP_nat_a @t2 @t1)))) % 1.21/1.46 (assume @p70 (forall @t4 (tptp.is_pname (tptp.hAPP_nat_pname @t2 @t1)))) % 1.21/1.46 (assume @p71 (forall @t4 (tptp.is_bool (tptp.hAPP_nat_bool @t2 @t1)))) % 1.21/1.46 (assume @p72 (forall @t4 (tptp.is_fun_a_bool (tptp.hAPP_nat_fun_a_bool @t2 @t1)))) % 1.21/1.46 (assume @p73 (forall @t4 (tptp.is_fun_pname_bool (tptp.hAPP_n1025906991e_bool @t2 @t1)))) % 1.21/1.46 (assume @p74 (forall @t4 (tptp.is_fun949378684l_bool (tptp.hAPP_n1414589940l_bool @t2 @t1)))) % 1.21/1.46 (assume @p75 (forall @t4 (tptp.is_fun1661590463l_bool (tptp.hAPP_n850744903l_bool @t2 @t1)))) % 1.21/1.46 (assume @p76 (forall @t4 (=> @t3 (tptp.is_pname (tptp.hAPP_f1128469712_pname @t2 @t1))))) % 1.21/1.46 (assume @p77 (forall @t4 (=> (and @t14 @t3) (tptp.is_bool (tptp.hAPP_fun_a_bool_bool @t2 @t1))))) % 1.21/1.46 (assume @p78 (forall @t4 (=> @t3 (tptp.is_fun_a_bool (tptp.hAPP_f2050579477a_bool @t2 @t1))))) % 1.21/1.46 (assume @p79 (forall @t4 (=> @t3 (tptp.is_fun_pname_bool (tptp.hAPP_f1794073134e_bool @t2 @t1))))) % 1.21/1.46 (assume @p80 (forall @t4 (=> @t3 (tptp.is_fun949378684l_bool (tptp.hAPP_f1631501043l_bool @t2 @t1))))) % 1.21/1.46 (assume @p81 (forall @t4 (=> @t5 (tptp.is_pname (tptp.hAPP_f1297739591_pname @t2 @t1))))) % 1.21/1.46 (assume @p82 (forall @t4 (=> (and @t15 @t5) (tptp.is_bool (tptp.hAPP_f1664156314l_bool @t2 @t1))))) % 1.21/1.46 (assume @p83 (forall @t4 (=> @t5 (tptp.is_fun_a_bool (tptp.hAPP_f1051908748a_bool @t2 @t1))))) % 1.21/1.46 (assume @p84 (forall @t4 (=> @t5 (tptp.is_fun_pname_bool (tptp.hAPP_f759274231e_bool @t2 @t1))))) % 1.21/1.46 (assume @p85 (forall @t4 (=> @t5 (tptp.is_fun1661590463l_bool (tptp.hAPP_f434788991l_bool @t2 @t1))))) % 1.21/1.46 (assume @p86 (forall @t4 (tptp.is_pname (tptp.hAPP_f1291551745_pname @t2 @t1)))) % 1.21/1.46 (assume @p87 (forall @t4 (tptp.is_bool (tptp.hAPP_f54304608l_bool @t2 @t1)))) % 1.21/1.46 (assume @p88 (forall @t4 (tptp.is_fun_a_bool (tptp.hAPP_f1549043526a_bool @t2 @t1)))) % 1.21/1.46 (assume @p89 (forall @t4 (tptp.is_fun_pname_bool (tptp.hAPP_f654413245e_bool @t2 @t1)))) % 1.21/1.46 (assume @p90 (forall @t4 (=> @t6 (tptp.is_bool (tptp.hAPP_f621171935l_bool @t2 @t1))))) % 1.21/1.46 (assume @p91 (forall @t4 (=> @t6 (tptp.is_fun949378684l_bool (tptp.hAPP_f2117159681l_bool @t2 @t1))))) % 1.21/1.46 (assume @p92 (forall @t4 (=> @t7 (tptp.is_bool (tptp.hAPP_f1935102916l_bool @t2 @t1))))) % 1.21/1.46 (assume @p93 (forall @t4 (=> @t7 (tptp.is_fun1661590463l_bool (tptp.hAPP_f559147733l_bool @t2 @t1))))) % 1.21/1.46 (assume @p94 (forall @t4 (tptp.is_bool (tptp.hAPP_f1637334154l_bool @t2 @t1)))) % 1.21/1.46 (assume @p95 (forall @t4 (tptp.is_bool (tptp.hAPP_f292226953l_bool @t2 @t1)))) % 1.21/1.46 (assume @p96 (forall @t4 (tptp.is_bool (tptp.hAPP_f389811538l_bool @t2 @t1)))) % 1.21/1.46 (assume @p97 (forall @t4 (tptp.is_bool (tptp.hAPP_f937997336l_bool @t2 @t1)))) % 1.21/1.46 (assume @p98 (tptp.is_fun_a_bool tptp.g)) % 1.21/1.46 (assume @p99 (forall @t9 (=> @t12 (tptp.is_fun949378684l_bool (tptp.p @t2))))) % 1.21/1.46 (assume @p100 (tptp.is_fun_pname_bool tptp.u)) % 1.21/1.46 (assume @p101 (forall @t9 (tptp.is_a (tptp.mgt @t2)))) % 1.21/1.46 (assume @p102 (tptp.is_pname tptp.pn)) % 1.21/1.46 (assume @p103 (forall @t9 (tptp.is_bool (tptp.wt @t2)))) % 1.21/1.46 (assume @p104 (forall (@list @t18 @t19) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t18) @t19)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t20 @t18))))) % 1.21/1.46 (assume @p105 (forall @t23 (=> @t22 (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool (tptp.collec1015864663l_bool (tptp.hAPP_f1772781669l_bool (tptp.cOMBC_595898202l_bool tptp.ord_le1454342156l_bool) @t21))))))) % 1.21/1.46 (assume @p106 (forall @t23 (=> @t24 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.collec1613912337l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool tptp.ord_le675606854l_bool) @t21))))))) % 1.21/1.46 (assume @p107 (forall @t23 (=> @t25 (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool (tptp.collec707592106l_bool (tptp.hAPP_f1434722111l_bool (tptp.cOMBC_331553030l_bool tptp.ord_le1375614389l_bool) @t21))))))) % 1.21/1.46 (assume @p108 (forall @t23 (=> @t26 (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) @t21))))))) % 1.21/1.46 (assume @p109 (forall @t23 (=> @t27 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.ord_le313189616e_bool) @t21))))))) % 1.21/1.46 (assume @p110 (forall @t23 (=> @t28 (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) @t21))))))) % 1.21/1.46 (assume @p111 (forall @t32 (=> @t31 (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_2129980159t_bool @t30 @t29)))))) % 1.21/1.46 (assume @p112 (forall @t32 (=> @t31 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_47868345e_bool @t30 @t29)))))) % 1.21/1.46 (assume @p113 (forall @t32 (=> @t31 (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_112932426a_bool @t30 @t29)))))) % 1.21/1.46 (assume @p114 (forall @t32 (=> @t33 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_nat_a @t30 @t29)))))) % 1.21/1.46 (assume @p115 (forall @t32 (=> @t33 (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_26036933t_bool @t30 @t29)))))) % 1.21/1.46 (assume @p116 (forall @t32 (=> @t33 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_1655916159e_bool @t30 @t29)))))) % 1.21/1.46 (assume @p117 (forall @t32 (=> @t33 (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_nat_fun_a_bool @t30 @t29)))))) % 1.21/1.46 (assume @p118 (forall @t32 (=> @t34 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_a_pname @t30 @t29)))))) % 1.21/1.46 (assume @p119 (forall @t32 (=> @t35 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1921560913_pname @t30 @t29)))))) % 1.21/1.46 (assume @p120 (forall @t32 (=> @t36 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1283814551_pname @t30 @t29)))))) % 1.21/1.46 (assume @p121 (forall @t32 (=> @t37 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1854862208_pname @t30 @t29)))))) % 1.21/1.46 (assume @p122 (forall @t32 (=> @t34 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_a_nat @t30 @t29)))))) % 1.21/1.46 (assume @p123 (forall @t32 (=> @t35 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_496248727ol_nat @t30 @t29)))))) % 1.21/1.46 (assume @p124 (forall @t32 (=> @t36 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_1551609309ol_nat @t30 @t29)))))) % 1.21/1.46 (assume @p125 (forall @t32 (=> @t37 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_fun_a_bool_nat @t30 @t29)))))) % 1.21/1.46 (assume @p126 (forall @t32 (=> @t31 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_pname_a @t30 @t29)))))) % 1.21/1.46 (assume @p127 (forall @t40 (=> @t22 @t39))) % 1.21/1.46 (assume @p128 (forall @t40 (=> @t24 @t41))) % 1.21/1.46 (assume @p129 (forall @t40 (=> @t25 @t42))) % 1.21/1.46 (assume @p130 (forall @t40 (=> @t27 @t44))) % 1.21/1.46 (assume @p131 (forall @t40 (=> @t28 @t46))) % 1.21/1.46 (assume @p132 (forall @t40 (=> @t26 @t48))) % 1.21/1.46 (assume @p133 (forall @t52 (=> @t27 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t51)) @t49))))) % 1.21/1.46 (assume @p134 (forall @t52 (=> @t26 (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 @t54)) @t53))))) % 1.21/1.46 (assume @p135 (forall @t52 (=> @t22 (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 @t56)) @t55))))) % 1.21/1.46 (assume @p136 (forall @t52 (=> @t24 (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 @t58)) @t57))))) % 1.21/1.46 (assume @p137 (forall @t52 (=> @t25 (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 @t60)) @t59))))) % 1.21/1.46 (assume @p138 (forall @t52 (=> @t27 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t61)) @t49))))) % 1.21/1.46 (assume @p139 (forall @t52 (=> @t26 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t62)) @t53))))) % 1.21/1.46 (assume @p140 (forall @t52 (=> @t22 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t63)) @t55))))) % 1.21/1.46 (assume @p141 (forall @t52 (=> @t24 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t64)) @t57))))) % 1.21/1.46 (assume @p142 (forall @t52 (=> @t25 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t65)) @t59))))) % 1.21/1.46 (assume @p143 (forall @t52 (=> @t26 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t66)) @t53))))) % 1.21/1.46 (assume @p144 (forall @t52 (=> @t28 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t68)) @t67))))) % 1.21/1.46 (assume @p145 (forall @t52 (=> @t27 (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 @t69)) @t49))))) % 1.21/1.46 (assume @p146 (forall @t75 (=> @t74 (=> @t73 (tptp.hBOOL (tptp.hAPP_nat_bool @t72 @t71)))))) % 1.21/1.46 (assume @p147 (forall @t75 (=> @t79 (=> @t78 (tptp.hBOOL (tptp.hAPP_nat_bool @t77 @t76)))))) % 1.21/1.46 (assume @p148 (forall @t75 (=> @t83 (=> @t82 (tptp.hBOOL (tptp.hAPP_nat_bool @t81 @t80)))))) % 1.21/1.46 (assume @p149 (forall @t75 (=> @t88 (=> @t87 (tptp.hBOOL (tptp.hAPP_nat_bool @t85 @t84)))))) % 1.21/1.46 (assume @p150 (forall @t75 (=> @t93 (=> @t92 (tptp.hBOOL (tptp.hAPP_nat_bool @t90 @t89)))))) % 1.21/1.46 (assume @p151 (forall @t75 (=> @t98 (=> @t97 (tptp.hBOOL (tptp.hAPP_nat_bool @t95 @t94)))))) % 1.21/1.46 (assume @p152 (forall @t75 (=> @t74 (=> @t73 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t71) @t55)) @t99))))) % 1.21/1.46 (assume @p153 (forall @t75 (=> (and (tptp.is_fun1661590463l_bool @t21) @t100) (=> @t79 (=> @t78 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t76) @t57)) @t99)))))) % 1.21/1.46 (assume @p154 (forall @t75 (=> (and (tptp.is_fun949378684l_bool @t21) @t101) (=> @t83 (=> @t82 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t80) @t59)) @t99)))))) % 1.21/1.46 (assume @p155 (forall @t75 (=> @t104 (=> @t88 (=> @t87 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t84) @t49)) @t99)))))) % 1.21/1.46 (assume @p156 (forall @t75 (=> @t107 (=> @t93 (=> @t92 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t89) @t53)) @t99)))))) % 1.21/1.46 (assume @p157 (forall @t75 (=> @t98 (=> @t97 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t94) @t67)) @t99))))) % 1.21/1.46 (assume @p158 (forall @t110 (=> @t22 (tptp.hBOOL (tptp.hAPP_nat_bool @t72 @t109))))) % 1.21/1.46 (assume @p159 (forall @t110 (=> @t24 (tptp.hBOOL (tptp.hAPP_nat_bool @t77 @t111))))) % 1.21/1.46 (assume @p160 (forall @t110 (=> @t25 (tptp.hBOOL (tptp.hAPP_nat_bool @t81 @t112))))) % 1.21/1.46 (assume @p161 (forall @t110 (=> @t27 (tptp.hBOOL (tptp.hAPP_nat_bool @t85 @t114))))) % 1.21/1.46 (assume @p162 (forall @t110 (=> @t28 (tptp.hBOOL (tptp.hAPP_nat_bool @t95 @t116))))) % 1.21/1.46 (assume @p163 (forall @t110 (=> @t26 (tptp.hBOOL (tptp.hAPP_nat_bool @t90 @t118))))) % 1.21/1.46 (assume @p164 (forall @t110 (=> @t22 (and (=> @t119 (= @t109 @t55)) @t120)))) % 1.21/1.46 (assume @p165 (forall @t110 (=> @t24 (and (=> @t121 (= @t111 @t57)) @t122)))) % 1.21/1.46 (assume @p166 (forall @t110 (=> @t25 (and (=> @t123 (= @t112 @t59)) @t124)))) % 1.21/1.46 (assume @p167 (forall @t110 (=> @t28 (and (=> @t126 (= @t116 @t67)) @t128)))) % 1.21/1.46 (assume @p168 (forall @t110 (=> @t27 (and (=> @t130 (= @t114 @t49)) @t132)))) % 1.21/1.46 (assume @p169 (forall @t110 (=> @t26 (and (=> @t134 (= @t118 @t53)) @t136)))) % 1.21/1.46 (assume @p170 (forall @t110 (=> @t22 @t120))) % 1.21/1.46 (assume @p171 (forall @t110 (=> @t24 @t122))) % 1.21/1.46 (assume @p172 (forall @t110 (=> @t25 @t124))) % 1.21/1.46 (assume @p173 (forall @t110 (=> @t28 @t128))) % 1.21/1.46 (assume @p174 (forall @t110 (=> @t27 @t132))) % 1.21/1.46 (assume @p175 (forall @t110 (=> @t26 @t136))) % 1.21/1.46 (assume @p176 (forall @t142 (=> (or @t141 @t139) (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 @t138) @t137))))))) % 1.21/1.46 (assume @p177 (forall @t142 (=> (or @t145 @t143) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj @t138) @t137))))))) % 1.21/1.46 (assume @p178 (forall @t142 (=> (or @t148 @t146) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj @t138) @t137))))))) % 1.21/1.46 (assume @p179 (forall @t142 (=> (or @t151 @t149) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj @t138) @t137))))))) % 1.21/1.46 (assume @p180 (forall @t142 (=> (or @t154 @t152) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj @t138) @t137))))))) % 1.21/1.46 (assume @p181 (forall @t142 (=> (or @t158 @t156) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t155 @t137))))))) % 1.21/1.46 (assume @p182 (forall @t168 (=> @t167 (= @t165 (tptp.hAPP_nat_nat tptp.suc @t162))))) % 1.21/1.46 (assume @p183 (forall @t171 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool @t170 @t169)))))) % 1.21/1.46 (assume @p184 (forall @t174 (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool @t170 @t172))) @t173))) % 1.21/1.46 (assume @p185 (forall @t178 (=> (= (tptp.hAPP_nat_nat tptp.suc @t176) (tptp.hAPP_nat_nat tptp.suc @t175)) @t177))) % 1.21/1.46 (assume @p186 (forall (@list @t180 @t179) (= (= (tptp.hAPP_nat_nat tptp.suc @t180) (tptp.hAPP_nat_nat tptp.suc @t179)) (= @t180 @t179)))) % 1.21/1.46 (assume @p187 (forall @t182 (not (= @t181 @t159)))) % 1.21/1.46 (assume @p188 (forall @t182 (not (= @t159 @t181)))) % 1.21/1.46 (assume @p189 (forall @t186 (=> @t185 (=> @t167 @t183)))) % 1.21/1.46 (assume @p190 (forall @t192 (=> @t191 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t190) @t187)) (tptp.hBOOL (tptp.hAPP_nat_bool @t189 @t187)))))) % 1.21/1.46 (assume @p191 (forall @t186 (=> @t183 @t185))) % 1.21/1.46 (assume @p192 (forall @t186 (or @t185 @t167))) % 1.21/1.46 (assume @p193 (forall @t182 (tptp.hBOOL (tptp.hAPP_nat_bool @t166 @t159)))) % 1.21/1.46 (assume @p194 (forall @t195 (= @t194 (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat @t193 @t187)) @t190)))) % 1.21/1.46 (assume @p195 (forall @t196 (= (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 @t138) @t137)))) (and @t141 @t139)))) % 1.21/1.46 (assume @p196 (forall @t196 (= (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj @t138) @t137)))) (and @t145 @t143)))) % 1.21/1.46 (assume @p197 (forall @t196 (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj @t138) @t137)))) (and @t148 @t146)))) % 1.21/1.46 (assume @p198 (forall @t196 (= (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj @t138) @t137)))) (and @t151 @t149)))) % 1.21/1.46 (assume @p199 (forall @t196 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj @t138) @t137)))) (and @t154 @t152)))) % 1.21/1.46 (assume @p200 (forall @t196 (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj @t138) @t137)))) (and @t158 @t156)))) % 1.21/1.46 (assume @p201 (forall @t40 (= @t39 @t22))) % 1.21/1.46 (assume @p202 (forall @t40 (= @t41 @t24))) % 1.21/1.46 (assume @p203 (forall @t40 (= @t42 @t25))) % 1.21/1.46 (assume @p204 (forall @t40 (= @t44 @t27))) % 1.21/1.46 (assume @p205 (forall @t40 (= @t46 @t28))) % 1.21/1.46 (assume @p206 (forall @t40 (= @t48 @t26))) % 1.21/1.46 (assume @p207 (forall @t75 (=> @t73 (=> @t74 @t22)))) % 1.21/1.46 (assume @p208 (forall @t75 (=> @t78 (=> @t79 @t24)))) % 1.21/1.46 (assume @p209 (forall @t75 (=> @t82 (=> @t83 @t25)))) % 1.21/1.46 (assume @p210 (forall @t75 (=> @t92 (=> @t93 @t26)))) % 1.21/1.46 (assume @p211 (forall @t75 (=> @t87 (=> @t88 @t27)))) % 1.21/1.46 (assume @p212 (forall @t75 (=> @t97 (=> @t98 @t28)))) % 1.21/1.46 (assume @p213 (forall @t75 (=> @t74 (=> @t73 @t22)))) % 1.21/1.46 (assume @p214 (forall @t75 (=> @t79 (=> @t78 @t24)))) % 1.21/1.46 (assume @p215 (forall @t75 (=> @t83 (=> @t82 @t25)))) % 1.21/1.46 (assume @p216 (forall @t75 (=> @t93 (=> @t92 @t26)))) % 1.21/1.46 (assume @p217 (forall @t75 (=> @t88 (=> @t87 @t27)))) % 1.21/1.46 (assume @p218 (forall @t75 (=> @t98 (=> @t97 @t28)))) % 1.21/1.46 (assume @p219 (forall @t186 (=> @t197 @t185))) % 1.21/1.46 (assume @p220 (forall @t186 (=> @t198 (=> (not @t185) (= @t160 @t181))))) % 1.21/1.46 (assume @p221 (forall @t186 (=> @t185 @t198))) % 1.21/1.46 (assume @p222 (forall @t203 (= (tptp.hBOOL (tptp.hAPP_nat_bool @t202 @t201)) (tptp.hBOOL (tptp.hAPP_nat_bool @t200 @t199))))) % 1.21/1.46 (assume @p223 (forall @t206 (= (tptp.hBOOL (tptp.hAPP_nat_bool @t204 @t173)) (or @t205 (= @t199 @t173))))) % 1.21/1.46 (assume @p224 (forall @t206 (= (not @t205) @t207))) % 1.21/1.46 (assume @p225 (forall @t182 (not (tptp.hBOOL (tptp.hAPP_nat_bool @t208 @t159))))) % 1.21/1.46 (assume @p226 (forall @t209 (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t165) (tptp.hAPP_nat_nat tptp.suc @t187)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t162) @t187)))) % 1.21/1.46 (assume @p227 (forall @t186 (= (tptp.hAPP_nat_nat @t164 @t181) @t162))) % 1.21/1.46 (assume @p228 (forall @t216 (=> @t215 (=> @t214 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t212) @t210)) @t205))))) % 1.21/1.46 (assume @p229 (forall (@list @t159 @t187 @t160) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t218 @t160)) (=> @t219 (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat @t161 @t187)) (tptp.hAPP_nat_nat @t217 @t187)) @t162))))) % 1.21/1.46 (assume @p230 (forall @t216 (=> @t215 (=> @t214 (= (= @t212 @t210) @t220))))) % 1.21/1.46 (assume @p231 (forall (@list @t188 @t159) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t189 @t159)) (= (tptp.hAPP_nat_nat @t217 (tptp.hAPP_nat_nat @t217 @t188)) @t188)))) % 1.21/1.46 (assume @p232 (forall @t222 (=> @t185 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t161 @t221)) (tptp.hAPP_nat_nat @t217 @t221)))))) % 1.21/1.46 (assume @p233 (forall @t222 (=> @t185 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t225) @t224))))) % 1.21/1.46 (assume @p234 (forall @t186 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t162) @t160)))) % 1.21/1.46 (assume @p235 (forall @t228 (=> @t26 (=> @t227 @t93)))) % 1.21/1.46 (assume @p236 (forall @t228 (=> @t22 (=> @t229 @t93)))) % 1.21/1.46 (assume @p237 (forall @t228 (=> @t24 (=> @t230 @t93)))) % 1.21/1.46 (assume @p238 (forall @t228 (=> @t25 (=> @t231 @t93)))) % 1.21/1.46 (assume @p239 (forall @t228 (=> @t27 (=> @t234 @t74)))) % 1.21/1.46 (assume @p240 (forall @t228 (=> @t27 (=> @t237 @t79)))) % 1.21/1.46 (assume @p241 (forall @t228 (=> @t27 (=> @t240 @t83)))) % 1.21/1.46 (assume @p242 (forall @t228 (=> @t27 (=> @t242 @t88)))) % 1.21/1.46 (assume @p243 (forall @t228 (=> @t27 (=> @t244 @t98)))) % 1.21/1.46 (assume @p244 (forall @t228 (=> @t28 (=> @t246 @t93)))) % 1.21/1.46 (assume @p245 (forall @t228 (=> @t28 (=> @t248 @t74)))) % 1.21/1.46 (assume @p246 (forall @t228 (=> @t28 (=> @t250 @t79)))) % 1.21/1.46 (assume @p247 (forall @t228 (=> @t28 (=> @t252 @t83)))) % 1.21/1.46 (assume @p248 (forall @t228 (=> @t28 (=> @t253 @t88)))) % 1.21/1.46 (assume @p249 (forall @t228 (=> @t28 (=> @t255 @t98)))) % 1.21/1.46 (assume @p250 (forall @t228 (=> @t26 (=> @t256 @t88)))) % 1.21/1.46 (assume @p251 (forall @t228 (=> @t22 (=> @t258 @t88)))) % 1.21/1.46 (assume @p252 (forall @t228 (=> @t24 (=> @t260 @t88)))) % 1.21/1.46 (assume @p253 (forall @t228 (=> @t25 (=> @t262 @t88)))) % 1.21/1.46 (assume @p254 (forall @t228 (=> @t26 (=> @t263 @t98)))) % 1.21/1.46 (assume @p255 (forall @t228 (=> @t22 (=> @t264 @t98)))) % 1.21/1.46 (assume @p256 (forall @t228 (=> @t24 (=> @t265 @t98)))) % 1.21/1.46 (assume @p257 (forall @t228 (=> @t25 (=> @t266 @t98)))) % 1.21/1.46 (assume @p258 (forall @t228 (=> @t27 (=> @t267 @t93)))) % 1.21/1.46 (assume @p259 (forall @t272 (=> @t105 (=> @t93 (=> @t229 (exists @t271 (and @t270 @t269 (= @t70 (tptp.image_fun_nat_bool_a @t50 @t268))))))))) % 1.21/1.46 (assume @p260 (forall @t272 (=> @t105 (=> @t93 (=> @t230 (exists @t271 (and @t275 @t274 @t273 (= @t70 (tptp.image_876012084bool_a @t50 @t268))))))))) % 1.21/1.46 (assume @p261 (forall @t272 (=> @t105 (=> @t93 (=> @t231 (exists @t271 (and @t278 @t277 @t276 (= @t70 (tptp.image_fun_a_bool_a @t50 @t268))))))))) % 1.21/1.46 (assume @p262 (forall @t272 (=> @t105 (=> @t93 (=> @t227 (exists @t271 (and @t281 @t280 @t279 (= @t70 (tptp.image_a_a @t50 @t268))))))))) % 1.21/1.46 (assume @p263 (forall @t272 (=> @t74 (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t233 @t282)) (exists @t271 (and @t281 @t280 @t279 (= @t70 (tptp.image_a_fun_nat_bool @t50 @t268)))))))) % 1.21/1.46 (assume @p264 (forall @t272 (=> @t100 (=> @t79 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t236 @t283)) (exists @t271 (and @t281 @t280 @t279 (= @t70 (tptp.image_819518260e_bool @t50 @t268))))))))) % 1.21/1.46 (assume @p265 (forall @t272 (=> @t101 (=> @t83 (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t239 @t284)) (exists @t271 (and @t281 @t280 @t279 (= @t70 (tptp.image_a_fun_a_bool @t50 @t268))))))))) % 1.21/1.46 (assume @p266 (forall @t272 (=> @t102 (=> @t88 (=> @t256 (exists @t271 (and @t281 @t280 @t279 (= @t70 (tptp.image_a_pname @t50 @t268))))))))) % 1.21/1.46 (assume @p267 (forall @t272 (=> @t102 (=> @t88 (=> @t258 (exists @t271 (and @t270 @t269 (= @t70 (tptp.image_1921560913_pname @t50 @t268))))))))) % 1.21/1.46 (assume @p268 (forall @t272 (=> @t102 (=> @t88 (=> @t260 (exists @t271 (and @t275 @t274 @t273 (= @t70 (tptp.image_1283814551_pname @t50 @t268))))))))) % 1.21/1.46 (assume @p269 (forall @t272 (=> @t102 (=> @t88 (=> @t262 (exists @t271 (and @t278 @t277 @t276 (= @t70 (tptp.image_1854862208_pname @t50 @t268))))))))) % 1.21/1.46 (assume @p270 (forall @t272 (=> @t98 (=> @t263 (exists @t271 (and @t281 @t280 @t279 (= @t70 (tptp.image_a_nat @t50 @t268)))))))) % 1.21/1.46 (assume @p271 (forall @t272 (=> @t98 (=> @t264 (exists @t271 (and @t270 @t269 (= @t70 (tptp.image_496248727ol_nat @t50 @t268)))))))) % 1.21/1.46 (assume @p272 (forall @t272 (=> @t98 (=> @t265 (exists @t271 (and @t275 @t274 @t273 (= @t70 (tptp.image_1551609309ol_nat @t50 @t268)))))))) % 1.21/1.46 (assume @p273 (forall @t272 (=> @t98 (=> @t266 (exists @t271 (and @t278 @t277 @t276 (= @t70 (tptp.image_fun_a_bool_nat @t50 @t268)))))))) % 1.21/1.46 (assume @p274 (forall @t272 (=> @t74 (=> @t234 (exists @t271 (and @t287 @t286 @t285 (= @t70 (tptp.image_2129980159t_bool @t50 @t268)))))))) % 1.21/1.46 (assume @p275 (forall @t272 (=> @t100 (=> @t79 (=> @t237 (exists @t271 (and @t287 @t286 @t285 (= @t70 (tptp.image_47868345e_bool @t50 @t268))))))))) % 1.21/1.46 (assume @p276 (forall @t272 (=> @t101 (=> @t83 (=> @t240 (exists @t271 (and @t287 @t286 @t285 (= @t70 (tptp.image_112932426a_bool @t50 @t268))))))))) % 1.21/1.46 (assume @p277 (forall @t272 (=> @t102 (=> @t88 (=> @t242 (exists @t271 (and @t287 @t286 @t285 (= @t70 (tptp.image_pname_pname @t50 @t268))))))))) % 1.21/1.46 (assume @p278 (forall @t272 (=> @t98 (=> @t244 (exists @t271 (and @t287 @t286 @t285 (= @t70 (tptp.image_pname_nat @t50 @t268)))))))) % 1.21/1.46 (assume @p279 (forall @t272 (=> @t105 (=> @t93 (=> @t246 (exists @t271 (and @t289 @t288 (= @t70 (tptp.image_nat_a @t50 @t268))))))))) % 1.21/1.46 (assume @p280 (forall @t272 (=> @t74 (=> @t248 (exists @t271 (and @t289 @t288 (= @t70 (tptp.image_26036933t_bool @t50 @t268)))))))) % 1.21/1.46 (assume @p281 (forall @t272 (=> @t100 (=> @t79 (=> @t250 (exists @t271 (and @t289 @t288 (= @t70 (tptp.image_1655916159e_bool @t50 @t268))))))))) % 1.21/1.46 (assume @p282 (forall @t272 (=> @t101 (=> @t83 (=> @t252 (exists @t271 (and @t289 @t288 (= @t70 (tptp.image_nat_fun_a_bool @t50 @t268))))))))) % 1.21/1.46 (assume @p283 (forall @t272 (=> @t102 (=> @t88 (=> @t253 (exists @t271 (and @t289 @t288 (= @t70 (tptp.image_nat_pname @t50 @t268))))))))) % 1.21/1.46 (assume @p284 (forall @t272 (=> @t98 (=> @t255 (exists @t271 (and @t289 @t288 (= @t70 (tptp.image_nat_nat @t50 @t268)))))))) % 1.21/1.46 (assume @p285 (forall @t272 (=> @t105 (=> @t93 (=> @t267 (exists @t271 (and @t287 @t286 @t285 (= @t70 (tptp.image_pname_a @t50 @t268))))))))) % 1.21/1.46 (assume @p286 (forall @t295 (=> (forall @t294 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool @t50 @t292)) (tptp.hAPP_nat_bool @t50 @t293)))) (=> @t291 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool @t50 @t172)) (tptp.hAPP_nat_bool @t50 @t290))))))) % 1.21/1.46 (assume @p287 (forall @t295 (=> (forall @t294 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_n1025906991e_bool @t50 @t292)) (tptp.hAPP_n1025906991e_bool @t50 @t293)))) (=> @t291 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_n1025906991e_bool @t50 @t172)) (tptp.hAPP_n1025906991e_bool @t50 @t290))))))) % 1.21/1.46 (assume @p288 (forall @t295 (=> (forall @t294 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool @t50 @t292)) (tptp.hAPP_n1699378549t_bool @t50 @t293)))) (=> @t291 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool @t50 @t172)) (tptp.hAPP_n1699378549t_bool @t50 @t290))))))) % 1.21/1.46 (assume @p289 (forall @t295 (=> (forall @t294 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_nat_fun_a_bool @t50 @t292)) (tptp.hAPP_nat_fun_a_bool @t50 @t293)))) (=> @t291 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_nat_fun_a_bool @t50 @t172)) (tptp.hAPP_nat_fun_a_bool @t50 @t290))))))) % 1.21/1.46 (assume @p290 (forall @t295 (=> (forall @t294 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t296) (tptp.hAPP_nat_nat @t50 @t293)))) (=> @t291 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t50 @t172)) (tptp.hAPP_nat_nat @t50 @t290))))))) % 1.21/1.46 (assume @p291 (forall @t52 (=> @t304 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t68)) (exists @t303 (and @t302 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t300 (tptp.hAPP_p1499970991t_bool (tptp.cOMBC_nat_pname_bool (tptp.cOMBB_1212655066ol_nat tptp.fequal_pname @t50)) @t298)))))))))))) % 1.21/1.46 (assume @p292 (forall @t52 (=> @t311 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t66)) (exists @t303 (and @t310 @t309 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool @t307 (tptp.hAPP_p1534023578a_bool (tptp.cOMBC_a_pname_bool (tptp.cOMBB_610033911bool_a tptp.fequal_pname @t50)) @t305)))))))))))) % 1.21/1.46 (assume @p293 (forall @t52 (=> @t318 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t51)) (exists @t303 (and @t317 @t316 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool @t314 (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool (tptp.cOMBB_542850580_pname tptp.fequal_pname @t50)) @t312)))))))))))) % 1.21/1.46 (assume @p294 (forall @t52 (=> @t323 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t257)) (exists @t303 (and @t322 (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool @t320 (tptp.hAPP_p130839763l_bool (tptp.cOMBC_615407716e_bool (tptp.cOMBB_141086128t_bool tptp.fequal_pname @t50)) (tptp.hAPP_f1291551745_pname @t50 @t297))))))))))))) % 1.21/1.46 (assume @p295 (forall @t52 (=> @t329 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t259)) (exists @t303 (and @t328 @t327 (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool @t325 (tptp.hAPP_p338031245l_bool (tptp.cOMBC_1004116266e_bool (tptp.cOMBB_598082538e_bool tptp.fequal_pname @t50)) (tptp.hAPP_f1297739591_pname @t50 @t297))))))))))))) % 1.21/1.46 (assume @p296 (forall @t52 (=> @t335 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t261)) (exists @t303 (and @t334 @t333 (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool @t331 (tptp.hAPP_p1824510254l_bool (tptp.cOMBC_1738168533e_bool (tptp.cOMBB_1693087065a_bool tptp.fequal_pname @t50)) (tptp.hAPP_f1128469712_pname @t50 @t297))))))))))))) % 1.21/1.46 (assume @p297 (forall @t52 (=> @t304 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t254)) (exists @t303 (and @t302 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t300 (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool (tptp.cOMBB_800536526ol_nat tptp.fequal_nat @t50)) (tptp.hAPP_nat_nat @t50 @t297))))))))))))) % 1.21/1.46 (assume @p298 (forall @t52 (=> @t311 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t62)) (exists @t303 (and @t310 @t309 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool @t307 (tptp.hAPP_nat_fun_a_bool (tptp.cOMBC_a_nat_bool (tptp.cOMBB_1321347587bool_a tptp.fequal_nat @t50)) @t336)))))))))))) % 1.21/1.46 (assume @p299 (forall @t52 (=> @t318 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t61)) (exists @t303 (and @t317 @t316 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool @t314 (tptp.hAPP_n1025906991e_bool (tptp.cOMBC_pname_nat_bool (tptp.cOMBB_523834888_pname tptp.fequal_nat @t50)) @t337)))))))))))) % 1.21/1.46 (assume @p300 (forall @t52 (=> @t323 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t63)) (exists @t303 (and @t322 (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool @t320 (tptp.hAPP_n215258509l_bool (tptp.cOMBC_385542954t_bool (tptp.cOMBB_1250273980t_bool tptp.fequal_nat @t50)) (tptp.hAPP_f22106695ol_nat @t50 @t297))))))))))))) % 1.21/1.46 (assume @p301 (forall @t52 (=> @t329 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t64)) (exists @t303 (and @t328 @t327 (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool @t325 (tptp.hAPP_n850744903l_bool (tptp.cOMBC_1666426608t_bool (tptp.cOMBB_1896684278e_bool tptp.fequal_nat @t50)) (tptp.hAPP_f921600141ol_nat @t50 @t297))))))))))))) % 1.21/1.46 (assume @p302 (forall @t52 (=> @t335 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t65)) (exists @t303 (and @t334 @t333 (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool @t331 (tptp.hAPP_n1414589940l_bool (tptp.cOMBC_619334683t_bool (tptp.cOMBB_164527437a_bool tptp.fequal_nat @t50)) (tptp.hAPP_fun_a_bool_nat @t50 @t297))))))))))))) % 1.21/1.46 (assume @p303 (forall @t52 (=> @t304 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t245)) (exists @t303 (and @t302 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t300 (tptp.hAPP_a_fun_nat_bool (tptp.cOMBC_nat_a_bool (tptp.cOMBB_1885489796ol_nat tptp.fequal_a @t50)) @t338)))))))))))) % 1.21/1.46 (assume @p304 (forall @t52 (=> @t304 (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t247)) (exists @t303 (and @t302 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t300 (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool (tptp.cOMBB_2026977092ol_nat tptp.fequal_fun_nat_bool @t50)) (tptp.hAPP_n1699378549t_bool @t50 @t297))))))))))))) % 1.21/1.46 (assume @p305 (forall @t52 (=> @t304 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t249)) (exists @t303 (and @t302 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t300 (tptp.hAPP_f1066163005t_bool (tptp.cOMBC_386238098l_bool (tptp.cOMBB_2117322052ol_nat tptp.fequal533582459e_bool @t50)) (tptp.hAPP_n1025906991e_bool @t50 @t297))))))))))))) % 1.21/1.46 (assume @p306 (forall @t52 (=> @t304 (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t251)) (exists @t303 (and @t302 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t300 (tptp.hAPP_f282463732t_bool (tptp.cOMBC_1928494297l_bool (tptp.cOMBB_1823939024ol_nat tptp.fequal_fun_a_bool @t50)) (tptp.hAPP_nat_fun_a_bool @t50 @t297))))))))))))) % 1.21/1.46 (assume @p307 (forall @t52 (=> @t318 (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t232)) (exists @t303 (and @t317 @t316 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool @t314 (tptp.hAPP_f654413245e_bool (tptp.cOMBC_267053842l_bool (tptp.cOMBB_928955006_pname tptp.fequal_fun_nat_bool @t50)) (tptp.hAPP_p1499970991t_bool @t50 @t297))))))))))))) % 1.21/1.46 (assume @p308 (forall @t52 (=> @t318 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t235)) (exists @t303 (and @t317 @t316 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool @t314 (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool (tptp.cOMBB_408569982_pname tptp.fequal533582459e_bool @t50)) (tptp.hAPP_p61793385e_bool @t50 @t297))))))))))))) % 1.21/1.46 (assume @p309 (forall @t52 (=> @t318 (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t238)) (exists @t303 (and @t317 @t316 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool @t314 (tptp.hAPP_f1794073134e_bool (tptp.cOMBC_445755039l_bool (tptp.cOMBB_392435466_pname tptp.fequal_fun_a_bool @t50)) (tptp.hAPP_p1534023578a_bool @t50 @t297))))))))))))) % 1.21/1.46 (assume @p310 (forall @t52 (=> @t311 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t54)) (exists @t303 (and @t310 @t309 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool @t307 (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool (tptp.cOMBB_a_fun_a_bool_a tptp.fequal_a @t50)) (tptp.hAPP_a_a @t50 @t297))))))))))))) % 1.21/1.46 (assume @p311 (forall @t52 (=> @t311 (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t282)) (exists @t303 (and @t310 @t309 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool @t307 (tptp.hAPP_f1549043526a_bool (tptp.cOMBC_777206479l_bool (tptp.cOMBB_743407885bool_a tptp.fequal_fun_nat_bool @t50)) (tptp.hAPP_a_fun_nat_bool @t50 @t297))))))))))))) % 1.21/1.46 (assume @p312 (forall @t52 (=> @t311 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t283)) (exists @t303 (and @t310 @t309 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool @t307 (tptp.hAPP_f1051908748a_bool (tptp.cOMBC_1834145417l_bool (tptp.cOMBB_1137537805bool_a tptp.fequal533582459e_bool @t50)) (tptp.hAPP_a93125764e_bool @t50 @t297))))))))))))) % 1.21/1.46 (assume @p313 (forall @t52 (=> @t311 (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t284)) (exists @t303 (and @t310 @t309 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a (tptp.cOMBS_a_bool_bool @t307 (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool (tptp.cOMBB_472261505bool_a tptp.fequal_fun_a_bool @t50)) (tptp.hAPP_a_fun_a_bool @t50 @t297))))))))))))) % 1.21/1.46 (assume @p314 (forall @t52 (=> @t318 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t69)) (exists @t303 (and @t317 @t316 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool @t314 (tptp.hAPP_a93125764e_bool (tptp.cOMBC_pname_a_bool (tptp.cOMBB_1897541054_pname tptp.fequal_a @t50)) @t339)))))))))))) % 1.21/1.46 (assume @p315 (forall @t345 (=> @t344 (=> @t130 @t342)))) % 1.21/1.46 (assume @p316 (forall @t345 (=> @t348 (=> @t134 @t346)))) % 1.21/1.46 (assume @p317 (forall @t345 (=> @t352 (=> @t126 @t350)))) % 1.21/1.46 (assume @p318 (forall @t345 (=> @t356 (=> @t126 @t354)))) % 1.21/1.46 (assume @p319 @t361) % 1.21/1.46 (assume @p320 (forall @t75 (=> @t104 (=> @t87 (=> @t362 @t99))))) % 1.21/1.46 (assume @p321 (forall @t75 (=> @t97 (=> @t363 @t99)))) % 1.21/1.46 (assume @p322 (forall @t75 (=> @t107 (=> @t92 (=> @t364 @t99))))) % 1.21/1.46 (assume @p323 (forall @t367 (=> @t97 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t366 @t21)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t366 @t70)))))) % 1.21/1.46 (assume @p324 (forall @t367 (=> @t87 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t368 @t21)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t368 @t70)))))) % 1.21/1.46 (assume @p325 (forall @t367 (=> @t92 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t369 @t21)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t369 @t70)))))) % 1.21/1.46 (assume @p326 (forall @t375 (=> (=> (not @t374) @t373) @t372))) % 1.21/1.46 (assume @p327 (forall @t375 (=> (=> (not @t379) @t373) @t378))) % 1.21/1.46 (assume @p328 (forall @t375 (=> (=> (not @t383) @t373) @t382))) % 1.21/1.46 (assume @p329 (forall @t387 (=> @t386 (=> @t385 @t384)))) % 1.21/1.46 (assume @p330 (forall @t387 (=> @t392 (=> @t389 (=> @t385 @t388))))) % 1.21/1.46 (assume @p331 (forall @t387 (=> @t397 (=> @t394 (=> @t385 @t393))))) % 1.21/1.46 (assume @p332 (forall (@list @t398 @t138 @t169) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t138 @t169)) (=> (forall @t294 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t138 @t293)) (tptp.hBOOL (tptp.hAPP_nat_bool @t138 @t292)))) (tptp.hBOOL (tptp.hAPP_nat_bool @t138 (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t169) @t398))))))) % 1.21/1.46 (assume @p333 (forall (@list @t159 @t400) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t208 @t400)) (exists @t401 (= @t400 (tptp.hAPP_nat_nat tptp.suc @t399)))))) % 1.21/1.46 (assume @p334 (forall @t403 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t371 @t402)))) % 1.21/1.46 (assume @p335 (forall @t403 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t377 @t404)))) % 1.21/1.46 (assume @p336 (forall @t403 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t381 @t405)))) % 1.21/1.46 (assume @p337 (forall @t403 (= (tptp.insert_fun_nat_bool @t38 @t70) (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj @t407) (tptp.hAPP_f1246832597l_bool @t319 @t70)))))) % 1.21/1.46 (assume @p338 (forall @t403 (= (tptp.insert1325755072e_bool @t38 @t70) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj @t409) (tptp.hAPP_f559147733l_bool @t324 @t70)))))) % 1.21/1.46 (assume @p339 (forall @t403 (= (tptp.insert_fun_a_bool @t38 @t70) (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj @t411) (tptp.hAPP_f2117159681l_bool @t330 @t70)))))) % 1.21/1.46 (assume @p340 (forall @t403 (= @t402 (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj @t413) (tptp.hAPP_f800510211t_bool @t299 @t70)))))) % 1.21/1.46 (assume @p341 (forall @t403 (= @t404 (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj @t415) (tptp.hAPP_f759274231e_bool @t313 @t70)))))) % 1.21/1.46 (assume @p342 (forall @t403 (= @t405 (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fdisj @t417) (tptp.hAPP_f2050579477a_bool @t306 @t70)))))) % 1.21/1.46 (assume @p343 (forall @t418 (= (tptp.insert_pname @t38 @t153) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fimplies (tptp.cOMBB_647938656_pname tptp.fNot @t415)) @t138))))) % 1.21/1.46 (assume @p344 (forall @t418 (= (tptp.insert_fun_nat_bool @t38 @t144) (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fimplies (tptp.cOMBB_238756964t_bool tptp.fNot @t407)) @t138))))) % 1.21/1.46 (assume @p345 (forall @t418 (= (tptp.insert1325755072e_bool @t38 @t147) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fimplies (tptp.cOMBB_307249310e_bool tptp.fNot @t409)) @t138))))) % 1.21/1.46 (assume @p346 (forall @t418 (= (tptp.insert_fun_a_bool @t38 @t150) (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fimplies (tptp.cOMBB_2140588453a_bool tptp.fNot @t411)) @t138))))) % 1.21/1.46 (assume @p347 (forall @t418 (= (tptp.insert_nat @t38 @t157) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fimplies (tptp.cOMBB_bool_bool_nat tptp.fNot @t413)) @t138))))) % 1.21/1.46 (assume @p348 (forall @t418 (= (tptp.insert_a @t38 @t140) (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fimplies (tptp.cOMBB_bool_bool_a tptp.fNot @t417)) @t138))))) % 1.21/1.46 (assume @p349 (forall @t110 (= (tptp.insert_pname @t108 @t113) @t113))) % 1.21/1.46 (assume @p350 (forall @t110 (= (tptp.insert_nat @t108 @t115) @t115))) % 1.21/1.46 (assume @p351 (forall @t110 (= (tptp.insert_a @t108 @t117) @t117))) % 1.21/1.46 (assume @p352 (forall @t421 (= (tptp.insert_pname @t108 @t420) (tptp.insert_pname @t419 @t113)))) % 1.21/1.46 (assume @p353 (forall @t421 (= (tptp.insert_nat @t108 @t422) (tptp.insert_nat @t419 @t115)))) % 1.21/1.46 (assume @p354 (forall @t421 (= (tptp.insert_a @t108 @t423) (tptp.insert_a @t419 @t117)))) % 1.21/1.46 (assume @p355 (forall @t387 (= @t386 (or @t373 @t384)))) % 1.21/1.46 (assume @p356 (forall @t387 (=> @t392 (= @t389 (or @t373 @t388))))) % 1.21/1.46 (assume @p357 (forall @t387 (=> @t397 (= @t394 (or @t373 @t393))))) % 1.21/1.46 (assume @p358 (forall @t426 (=> (and (tptp.is_pname @t419) (tptp.is_pname @t108)) (= (tptp.hBOOL (tptp.hAPP_pname_bool @t420 @t108)) (or @t425 @t424))))) % 1.21/1.46 (assume @p359 (forall @t426 (= (tptp.hBOOL (tptp.hAPP_nat_bool @t422 @t108)) (or @t425 @t427)))) % 1.21/1.46 (assume @p360 (forall @t426 (=> (and (tptp.is_a @t419) (tptp.is_a @t108)) (= (tptp.hBOOL (tptp.hAPP_a_bool @t423 @t108)) (or @t425 @t428))))) % 1.21/1.46 (assume @p361 (forall @t431 (=> @t127 (=> (not @t430) (= (= @t115 @t429) @t99))))) % 1.21/1.46 (assume @p362 (forall @t431 (=> (and @t102 @t103) (=> @t131 (=> (not @t433) (= (= @t113 @t432) @t99)))))) % 1.21/1.46 (assume @p363 (forall @t431 (=> (and @t105 @t106) (=> @t135 (=> (not @t435) (= (= @t117 @t434) @t99)))))) % 1.21/1.46 (assume @p364 (forall @t375 (=> @t374 @t372))) % 1.21/1.46 (assume @p365 (forall @t375 (=> @t379 @t378))) % 1.21/1.46 (assume @p366 (forall @t375 (=> @t383 @t382))) % 1.21/1.46 (assume @p367 (forall @t40 (=> @t384 (= @t45 @t21)))) % 1.21/1.46 (assume @p368 (forall @t40 (=> @t103 (=> @t388 (= @t43 @t21))))) % 1.21/1.46 (assume @p369 (forall @t40 (=> @t106 (=> @t393 (= @t47 @t21))))) % 1.21/1.46 (assume @p370 (forall @t23 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t86 @t21)))) % 1.21/1.46 (assume @p371 (forall @t23 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t96 @t21)))) % 1.21/1.46 (assume @p372 (forall @t23 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t91 @t21)))) % 1.21/1.46 (assume @p373 (forall @t75 (=> @t104 (= @t99 (and @t87 @t362))))) % 1.21/1.46 (assume @p374 (forall @t75 (= @t99 (and @t97 @t363)))) % 1.21/1.46 (assume @p375 (forall @t75 (=> @t107 (= @t99 (and @t92 @t364))))) % 1.21/1.46 (assume @p376 (forall @t75 (=> @t99 @t87))) % 1.21/1.46 (assume @p377 (forall @t75 (=> @t99 @t97))) % 1.21/1.46 (assume @p378 (forall @t75 (=> @t99 @t92))) % 1.21/1.46 (assume @p379 (forall @t75 (=> @t99 @t362))) % 1.21/1.46 (assume @p380 (forall @t75 (=> @t99 @t363))) % 1.21/1.46 (assume @p381 (forall @t75 (=> @t99 @t364))) % 1.21/1.46 (assume @p382 (forall @t436 (=> @t97 (=> @t126 @t430)))) % 1.21/1.46 (assume @p383 (forall @t436 (=> @t87 (=> @t130 @t433)))) % 1.21/1.46 (assume @p384 (forall @t436 (=> @t92 (=> @t134 @t435)))) % 1.21/1.46 (assume @p385 (forall @t431 (=> @t126 (=> @t97 @t430)))) % 1.21/1.46 (assume @p386 (forall @t431 (=> @t130 (=> @t87 @t433)))) % 1.21/1.46 (assume @p387 (forall @t431 (=> @t134 (=> @t92 @t435)))) % 1.21/1.46 (assume @p388 (forall @t110 (= @t126 @t427))) % 1.21/1.46 (assume @p389 (forall @t110 (= @t130 @t424))) % 1.21/1.46 (assume @p390 (forall @t110 (= @t134 @t428))) % 1.21/1.46 (assume @p391 (forall @t437 (=> (tptp.is_fun_a_bool @t138) (= @t140 @t138)))) % 1.21/1.46 (assume @p392 (forall @t437 (=> (tptp.is_fun_pname_bool @t138) (= @t153 @t138)))) % 1.21/1.46 (assume @p393 (forall @t437 (= @t144 @t138))) % 1.21/1.46 (assume @p394 (forall @t437 (=> (tptp.is_fun1661590463l_bool @t138) (= @t147 @t138)))) % 1.21/1.46 (assume @p395 (forall @t437 (=> (tptp.is_fun949378684l_bool @t138) (= @t150 @t138)))) % 1.21/1.46 (assume @p396 (forall @t437 (= @t157 @t138))) % 1.21/1.46 (assume @p397 (forall @t439 (=> @t87 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t241 @t438)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t86 @t438)))))) % 1.21/1.46 (assume @p398 (forall @t439 (=> @t97 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t243 @t438)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t96 @t438)))))) % 1.21/1.46 (assume @p399 (forall @t439 (=> @t92 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t226 @t438)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t91 @t438)))))) % 1.21/1.46 (assume @p400 (forall @t75 (=> @t99 (not (=> @t87 (not @t362)))))) % 1.21/1.46 (assume @p401 (forall @t75 (=> @t99 (not (=> @t97 (not @t363)))))) % 1.21/1.46 (assume @p402 (forall @t75 (=> @t99 (not (=> @t92 (not @t364)))))) % 1.21/1.46 (assume @p403 (forall (@list @t440 @t50 @t21) (=> (tptp.is_a @t440) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t440) @t69)) (exists @t303 (and @t317 @t316 (= @t440 @t339))))))) % 1.21/1.46 (assume @p404 (forall @t441 (=> @t130 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat @t343) @t61))))) % 1.21/1.46 (assume @p405 (forall @t441 (=> @t134 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat @t347) @t62))))) % 1.21/1.46 (assume @p406 (forall @t441 (=> @t126 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname @t351) @t68))))) % 1.21/1.46 (assume @p407 (forall @t441 (=> @t126 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t355) @t245))))) % 1.21/1.46 (assume @p408 (forall @t441 (=> @t130 @t442))) % 1.21/1.46 (assume @p409 (forall @t443 (=> @t130 (=> @t344 @t342)))) % 1.21/1.46 (assume @p410 (forall @t443 (=> @t134 (=> @t348 @t346)))) % 1.21/1.46 (assume @p411 (forall @t443 (=> @t126 (=> @t352 @t350)))) % 1.21/1.46 (assume @p412 (forall @t443 (=> @t126 (=> @t356 @t354)))) % 1.21/1.46 (assume @p413 (forall @t443 (=> @t130 (=> @t360 @t357)))) % 1.21/1.46 (assume @p414 (forall @t445 (= (tptp.insert_fun_nat_bool @t297 @t444) (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj (tptp.hAPP_f103356543l_bool @t406 @t297)) (tptp.hAPP_f1246832597l_bool @t319 @t444)))))) % 1.21/1.46 (assume @p415 (forall @t445 (= (tptp.insert1325755072e_bool @t297 @t444) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj (tptp.hAPP_f434788991l_bool @t408 @t297)) (tptp.hAPP_f559147733l_bool @t324 @t444)))))) % 1.21/1.46 (assume @p416 (forall @t445 (= (tptp.insert_fun_a_bool @t297 @t444) (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj (tptp.hAPP_f1631501043l_bool @t410 @t297)) (tptp.hAPP_f2117159681l_bool @t330 @t444)))))) % 1.21/1.46 (assume @p417 (forall @t445 (= (tptp.insert_nat @t297 @t444) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj (tptp.hAPP_n1699378549t_bool @t412 @t297)) (tptp.hAPP_f800510211t_bool @t299 @t444)))))) % 1.21/1.46 (assume @p418 (forall @t445 (= (tptp.insert_pname @t297 @t444) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj (tptp.hAPP_p61793385e_bool @t414 @t297)) (tptp.hAPP_f759274231e_bool @t313 @t444)))))) % 1.21/1.46 (assume @p419 (forall @t445 (= (tptp.insert_a @t297 @t444) (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fdisj (tptp.hAPP_a_fun_a_bool @t416 @t297)) (tptp.hAPP_f2050579477a_bool @t306 @t444)))))) % 1.21/1.46 (assume @p420 (forall @t446 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t241 @t404)))) % 1.21/1.46 (assume @p421 (forall @t446 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t243 @t402)))) % 1.21/1.46 (assume @p422 (forall @t446 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t226 @t405)))) % 1.21/1.46 (assume @p423 (forall @t436 (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t115) @t70)) (and @t430 @t97)))) % 1.21/1.46 (assume @p424 (forall @t436 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t113) @t70)) (and @t433 @t87)))) % 1.21/1.46 (assume @p425 (forall @t436 (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t117) @t70)) (and @t435 @t92)))) % 1.21/1.46 (assume @p426 (forall @t431 (=> @t127 (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t96 @t429)) @t97)))) % 1.21/1.46 (assume @p427 (forall @t431 (=> @t131 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t86 @t432)) @t87)))) % 1.21/1.46 (assume @p428 (forall @t431 (=> @t135 (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t91 @t434)) @t92)))) % 1.21/1.46 (assume @p429 (forall @t447 (=> @t87 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t86 @t376))))) % 1.21/1.46 (assume @p430 (forall @t447 (=> @t97 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t96 @t370))))) % 1.21/1.46 (assume @p431 (forall @t447 (=> @t92 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t91 @t380))))) % 1.21/1.46 (assume @p432 (forall @t449 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t438) @t448)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.insert_pname @t38 @t438)) (tptp.insert_pname @t38 @t448)))))) % 1.21/1.46 (assume @p433 (forall @t449 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t438) @t448)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.insert_nat @t38 @t438)) (tptp.insert_nat @t38 @t448)))))) % 1.21/1.46 (assume @p434 (forall @t449 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t438) @t448)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a @t38 @t438)) (tptp.insert_a @t38 @t448)))))) % 1.21/1.46 (assume @p435 (forall @t451 (= (tptp.image_a_pname @t50 @t405) (tptp.insert_pname (tptp.hAPP_a_pname @t50 @t38) @t450)))) % 1.21/1.46 (assume @p436 (forall @t451 (= (tptp.image_a_nat @t50 @t405) (tptp.insert_nat (tptp.hAPP_a_nat @t50 @t38) @t452)))) % 1.21/1.46 (assume @p437 (forall @t451 (= (tptp.image_nat_a @t50 @t402) (tptp.insert_a (tptp.hAPP_nat_a @t50 @t38) @t453)))) % 1.21/1.46 (assume @p438 (forall @t451 (= (tptp.image_pname_a @t50 @t404) (tptp.insert_a (tptp.hAPP_pname_a @t50 @t38) @t454)))) % 1.21/1.46 (assume @p439 (forall @t441 (=> @t130 (= (tptp.insert_pname (tptp.hAPP_pname_pname @t50 @t108) @t51) @t51)))) % 1.21/1.46 (assume @p440 (forall @t441 (=> @t130 (= (tptp.insert_nat @t343 @t61) @t61)))) % 1.21/1.46 (assume @p441 (forall @t441 (=> @t134 (= (tptp.insert_pname (tptp.hAPP_a_pname @t50 @t108) @t66) @t66)))) % 1.21/1.46 (assume @p442 (forall @t441 (=> @t134 (= (tptp.insert_nat @t347 @t62) @t62)))) % 1.21/1.46 (assume @p443 (forall @t441 (=> @t126 (= (tptp.insert_a @t355 @t245) @t245)))) % 1.21/1.46 (assume @p444 (forall @t441 (=> @t130 (= (tptp.insert_a @t359 @t69) @t69)))) % 1.21/1.46 (assume @p445 (forall @t228 (=> @t105 (= @t246 (exists @t456 (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t455) @t21)) (= @t70 (tptp.image_nat_a @t50 @t455)))))))) % 1.21/1.46 (assume @p446 (forall @t228 (=> @t102 (= @t256 (exists @t456 (and @t458 @t457 (= @t70 (tptp.image_a_pname @t50 @t455)))))))) % 1.21/1.46 (assume @p447 (forall @t228 (= @t263 (exists @t456 (and @t458 @t457 (= @t70 (tptp.image_a_nat @t50 @t455))))))) % 1.21/1.46 (assume @p448 (forall @t228 (=> @t105 (= @t267 (exists @t456 (and (tptp.is_fun_pname_bool @t455) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t455) @t21)) (= @t70 (tptp.image_pname_a @t50 @t455)))))))) % 1.21/1.46 (assume @p449 (forall @t272 (=> @t92 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t459 @t450))))) % 1.21/1.46 (assume @p450 (forall @t272 (=> @t92 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t460 @t452))))) % 1.21/1.46 (assume @p451 (forall @t272 (=> @t97 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t461 @t453))))) % 1.21/1.46 (assume @p452 (forall @t272 (=> @t87 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t462 @t454))))) % 1.21/1.46 (assume @p453 (forall @t464 (=> @t390 (=> @t350 (not (forall @t303 (=> (= @t340 @t298) @t463))))))) % 1.21/1.46 (assume @p454 (forall @t464 (=> @t395 (=> @t354 (not (forall @t303 (=> (= @t340 @t338) @t463))))))) % 1.21/1.46 (assume @p455 (forall @t464 (=> @t342 (not (forall @t303 (=> @t317 (=> (= @t340 @t337) @t465))))))) % 1.21/1.46 (assume @p456 (forall @t464 (=> @t346 (not (forall @t303 (=> @t310 (=> (= @t340 @t336) @t466))))))) % 1.21/1.46 (assume @p457 (forall @t464 (=> @t395 (=> @t357 (not (forall @t303 (=> @t317 (=> (= @t340 @t339) @t465)))))))) % 1.21/1.46 (assume @p458 (forall @t467 (=> (forall @t303 (=> @t302 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t301 @t70)))) @t97))) % 1.21/1.46 (assume @p459 (forall @t467 (=> (forall @t303 (=> @t317 (=> @t316 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t315 @t70))))) @t87))) % 1.21/1.46 (assume @p460 (forall @t467 (=> (forall @t303 (=> @t310 (=> @t309 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t308 @t70))))) @t92))) % 1.21/1.46 (assume @p461 (forall @t468 (=> (forall @t303 (=> @t317 (=> @t316 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat @t337) @t70))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t61) @t70))))) % 1.21/1.46 (assume @p462 (forall @t468 (=> (forall @t303 (=> @t317 (=> @t316 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname @t312) @t70))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t51) @t70))))) % 1.21/1.46 (assume @p463 (forall @t468 (=> (forall @t303 (=> @t310 (=> @t309 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat @t336) @t70))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t460 @t70))))) % 1.21/1.46 (assume @p464 (forall @t468 (=> (forall @t303 (=> @t310 (=> @t309 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname @t305) @t70))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t459 @t70))))) % 1.21/1.46 (assume @p465 (forall @t468 (=> (forall @t303 (=> @t302 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname @t298) @t70)))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t68) @t70))))) % 1.21/1.46 (assume @p466 (forall @t468 (=> (forall @t303 (=> @t302 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t338) @t70)))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t461 @t70))))) % 1.21/1.46 (assume @p467 (forall @t468 (=> (forall @t303 (=> @t317 (=> @t316 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t339) @t70))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t462 @t70))))) % 1.21/1.46 (assume @p468 (forall @t470 (tptp.hBOOL (tptp.hAPP_bool_bool @t469 @t108)))) % 1.21/1.46 (assume @p469 (forall @t470 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t471 @t108)))) % 1.21/1.46 (assume @p470 (forall @t470 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t472 @t108)))) % 1.21/1.46 (assume @p471 (forall @t470 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t473 @t108)))) % 1.21/1.46 (assume @p472 (forall (@list @t474) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t474) @t474)))) % 1.21/1.46 (assume @p473 (forall @t478 (= @t477 (exists @t401 (forall @t303 (=> @t476 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t297) @t399)))))))) % 1.21/1.46 (assume @p474 (forall (@list @t19 @t365) (=> (tptp.hBOOL (tptp.wt @t365)) (=> (forall @t303 (=> @t317 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t315 tptp.u)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t20 (tptp.insert_a (tptp.hAPP_pname_a tptp.mgt_call @t297) tptp.bot_bot_fun_a_bool)))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t20 (tptp.insert_a (tptp.mgt @t365) tptp.bot_bot_fun_a_bool))))))) % 1.21/1.46 (assume @p475 (forall @t481 (= @t480 (forall @t303 (=> @t317 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_pname_bool @t50 @t297)) (tptp.hAPP_pname_bool @t479 @t297)))))))) % 1.21/1.46 (assume @p476 (forall @t481 (= @t482 (forall @t303 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool @t50 @t297)) (tptp.hAPP_nat_bool @t479 @t297))))))) % 1.21/1.46 (assume @p477 (forall @t481 (= @t483 (forall @t303 (=> @t310 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_a_bool @t50 @t297)) (tptp.hAPP_a_bool @t479 @t297)))))))) % 1.21/1.46 (assume @p478 (forall @t484 (=> @t480 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_pname_bool @t50 @t108)) (tptp.hAPP_pname_bool @t479 @t108)))))) % 1.21/1.46 (assume @p479 (forall @t484 (=> @t482 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool @t50 @t108)) (tptp.hAPP_nat_bool @t479 @t108)))))) % 1.21/1.46 (assume @p480 (forall @t484 (=> @t483 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_a_bool @t50 @t108)) (tptp.hAPP_a_bool @t479 @t108)))))) % 1.21/1.46 (assume @p481 (forall @t485 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t371 tptp.bot_bot_fun_nat_bool))))) % 1.21/1.46 (assume @p482 (forall @t485 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t377 tptp.bot_bo844097828e_bool))))) % 1.21/1.46 (assume @p483 (forall @t485 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t381 tptp.bot_bot_fun_a_bool))))) % 1.21/1.46 (assume @p484 (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool tptp.bot_bo1701429464l_bool))) % 1.21/1.46 (assume @p485 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool tptp.bot_bo1649642514l_bool))) % 1.21/1.46 (assume @p486 (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool tptp.bot_bo1389914601l_bool))) % 1.21/1.46 (assume @p487 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a tptp.bot_bot_fun_a_bool))) % 1.21/1.46 (assume @p488 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname tptp.bot_bo844097828e_bool))) % 1.21/1.46 (assume @p489 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat tptp.bot_bot_fun_nat_bool))) % 1.21/1.46 (assume @p490 (forall @t23 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t486 @t21)))) % 1.21/1.46 (assume @p491 (forall @t23 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t487 @t21)))) % 1.21/1.46 (assume @p492 (forall @t23 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t488 @t21)))) % 1.21/1.46 (assume @p493 (forall @t40 (=> @t489 (not @t384)))) % 1.21/1.46 (assume @p494 (forall @t40 (=> @t490 (not @t388)))) % 1.21/1.46 (assume @p495 (forall @t40 (=> @t491 (not @t393)))) % 1.21/1.46 (assume @p496 (forall @t437 (= (= @t153 tptp.bot_bo844097828e_bool) @t492))) % 1.21/1.46 (assume @p497 (forall @t437 (= (= @t144 tptp.bot_bo1701429464l_bool) @t493))) % 1.21/1.46 (assume @p498 (forall @t437 (= (= @t147 tptp.bot_bo1649642514l_bool) @t494))) % 1.21/1.46 (assume @p499 (forall @t437 (= (= @t150 tptp.bot_bo1389914601l_bool) @t495))) % 1.21/1.46 (assume @p500 (forall @t437 (= (= @t140 tptp.bot_bot_fun_a_bool) @t496))) % 1.21/1.46 (assume @p501 (forall @t437 (= (= @t157 tptp.bot_bot_fun_nat_bool) @t497))) % 1.21/1.46 (assume @p502 (forall @t498 (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t366 tptp.bot_bot_fun_nat_bool))))) % 1.21/1.46 (assume @p503 (forall @t498 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t368 tptp.bot_bo844097828e_bool))))) % 1.21/1.46 (assume @p504 (forall @t498 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t369 tptp.bot_bot_fun_a_bool))))) % 1.21/1.46 (assume @p505 (forall @t437 (= (= tptp.bot_bo844097828e_bool @t153) @t492))) % 1.21/1.46 (assume @p506 (forall @t437 (= (= tptp.bot_bo1701429464l_bool @t144) @t493))) % 1.21/1.46 (assume @p507 (forall @t437 (= (= tptp.bot_bo1649642514l_bool @t147) @t494))) % 1.21/1.46 (assume @p508 (forall @t437 (= (= tptp.bot_bo1389914601l_bool @t150) @t495))) % 1.21/1.46 (assume @p509 (forall @t437 (= (= tptp.bot_bot_fun_a_bool @t140) @t496))) % 1.21/1.46 (assume @p510 (forall @t437 (= (= tptp.bot_bot_fun_nat_bool @t157) @t497))) % 1.21/1.46 (assume @p511 (forall @t23 (= (exists @t303 @t302) (not @t489)))) % 1.21/1.46 (assume @p512 (forall @t23 (=> @t103 (= (exists @t303 (and @t317 @t316)) @t499)))) % 1.21/1.46 (assume @p513 (forall @t23 (=> @t106 (= (exists @t303 (and @t310 @t309)) (not @t491))))) % 1.21/1.46 (assume @p514 (forall @t23 (= (forall @t303 @t463) @t489))) % 1.21/1.46 (assume @p515 (forall @t23 (=> @t103 (= (forall @t303 (=> @t317 @t465)) @t490)))) % 1.21/1.46 (assume @p516 (forall @t23 (=> @t106 (= (forall @t303 (=> @t310 @t466)) @t491)))) % 1.21/1.46 (assume @p517 (= tptp.bot_bo844097828e_bool (tptp.collect_pname (tptp.cOMBK_bool_pname tptp.fFalse)))) % 1.21/1.46 (assume @p518 (= tptp.bot_bo1701429464l_bool (tptp.collect_fun_nat_bool (tptp.cOMBK_1994329625t_bool tptp.fFalse)))) % 1.21/1.46 (assume @p519 (= tptp.bot_bo1649642514l_bool (tptp.collec1974731493e_bool (tptp.cOMBK_1857069011e_bool tptp.fFalse)))) % 1.21/1.46 (assume @p520 (= tptp.bot_bo1389914601l_bool (tptp.collect_fun_a_bool (tptp.cOMBK_324466864a_bool tptp.fFalse)))) % 1.21/1.46 (assume @p521 (= tptp.bot_bot_fun_a_bool (tptp.collect_a (tptp.cOMBK_bool_a tptp.fFalse)))) % 1.21/1.46 (assume @p522 (= tptp.bot_bot_fun_nat_bool (tptp.collect_nat (tptp.cOMBK_bool_nat tptp.fFalse)))) % 1.21/1.46 (assume @p523 (forall @t303 (= (tptp.hBOOL (tptp.hAPP_pname_bool tptp.bot_bo844097828e_bool @t297)) @t500))) % 1.21/1.46 (assume @p524 (forall @t303 (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.bot_bot_fun_nat_bool @t297)) @t500))) % 1.21/1.46 (assume @p525 (forall @t303 (= (tptp.hBOOL (tptp.hAPP_a_bool tptp.bot_bot_fun_a_bool @t297)) @t500))) % 1.21/1.46 (assume @p526 (forall @t470 (= (tptp.hBOOL (tptp.hAPP_pname_bool tptp.bot_bo844097828e_bool @t108)) @t500))) % 1.21/1.46 (assume @p527 (forall @t470 (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.bot_bot_fun_nat_bool @t108)) @t500))) % 1.21/1.46 (assume @p528 (forall @t470 (= (tptp.hBOOL (tptp.hAPP_a_bool tptp.bot_bot_fun_a_bool @t108)) @t500))) % 1.21/1.46 (assume @p529 (forall @t485 (=> @t504 (=> @t503 @t501)))) % 1.21/1.46 (assume @p530 (forall @t485 (=> @t508 @t506))) % 1.21/1.46 (assume @p531 (forall @t485 (=> @t511 @t509))) % 1.21/1.46 (assume @p532 (forall @t485 (=> @t515 (=> @t514 @t512)))) % 1.21/1.46 (assume @p533 (forall (@list @t516) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t516) tptp.bot_bot_nat)) (= @t516 tptp.bot_bot_nat)))) % 1.21/1.46 (assume @p534 (forall @t485 (=> @t504 (= @t503 @t501)))) % 1.21/1.46 (assume @p535 (forall @t485 (= @t508 @t506))) % 1.21/1.46 (assume @p536 (forall @t485 (= @t511 @t509))) % 1.21/1.46 (assume @p537 (forall @t485 (=> @t515 (= @t514 @t512)))) % 1.21/1.46 (assume @p538 (forall @t485 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t38) tptp.bot_bot_nat)) (= @t38 tptp.bot_bot_nat)))) % 1.21/1.46 (assume @p539 (forall @t485 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t486 @t38)))) % 1.21/1.46 (assume @p540 (forall @t485 (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool tptp.bot_bot_bool) @t38)))) % 1.21/1.46 (assume @p541 (forall @t485 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t487 @t38)))) % 1.21/1.46 (assume @p542 (forall @t485 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t488 @t38)))) % 1.21/1.46 (assume @p543 (forall (@list @t517) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.bot_bot_nat) @t517)))) % 1.21/1.46 (assume @p544 (forall @t520 (=> @t392 (=> (= @t519 @t518) @t373)))) % 1.21/1.46 (assume @p545 (forall @t520 (=> (= @t522 @t521) @t373))) % 1.21/1.46 (assume @p546 (forall @t520 (=> @t397 (=> (= @t524 @t523) @t373)))) % 1.21/1.46 (assume @p547 (forall @t527 (=> @t526 @t525))) % 1.21/1.46 (assume @p548 (forall @t527 (=> @t529 (=> @t528 @t525)))) % 1.21/1.46 (assume @p549 (forall @t527 (=> @t531 (=> @t530 @t525)))) % 1.21/1.46 (assume @p550 (forall @t535 (=> (and @t391 @t390 (tptp.is_pname @t365) (tptp.is_pname @t533)) (= (= (tptp.insert_pname @t38 @t518) (tptp.insert_pname @t365 (tptp.insert_pname @t533 tptp.bot_bo844097828e_bool))) @t534)))) % 1.21/1.46 (assume @p551 (forall @t535 (= (= (tptp.insert_nat @t38 @t521) (tptp.insert_nat @t365 (tptp.insert_nat @t533 tptp.bot_bot_fun_nat_bool))) @t534))) % 1.21/1.46 (assume @p552 (forall @t535 (=> (and @t396 @t395 (tptp.is_a @t365) (tptp.is_a @t533)) (= (= (tptp.insert_a @t38 @t523) (tptp.insert_a @t365 (tptp.insert_a @t533 tptp.bot_bot_fun_a_bool))) @t534)))) % 1.21/1.46 (assume @p553 (forall @t527 (= @t526 @t525))) % 1.21/1.46 (assume @p554 (forall @t527 (=> @t529 (= @t528 @t525)))) % 1.21/1.46 (assume @p555 (forall @t527 (=> @t531 (= @t530 @t525)))) % 1.21/1.46 (assume @p556 (forall @t40 (not (= @t43 tptp.bot_bo844097828e_bool)))) % 1.21/1.46 (assume @p557 (forall @t40 (not (= @t45 tptp.bot_bot_fun_nat_bool)))) % 1.21/1.46 (assume @p558 (forall @t40 (not (= @t47 tptp.bot_bot_fun_a_bool)))) % 1.21/1.46 (assume @p559 (forall @t40 (not (= tptp.bot_bo844097828e_bool @t43)))) % 1.21/1.46 (assume @p560 (forall @t40 (not (= tptp.bot_bot_fun_nat_bool @t45)))) % 1.21/1.46 (assume @p561 (forall @t40 (not (= tptp.bot_bot_fun_a_bool @t47)))) % 1.21/1.46 (assume @p562 (forall @t23 (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t96 tptp.bot_bot_fun_nat_bool)) @t489))) % 1.21/1.46 (assume @p563 (forall @t23 (=> @t103 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t86 tptp.bot_bo844097828e_bool)) @t490)))) % 1.21/1.46 (assume @p564 (forall @t23 (=> @t106 (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t91 tptp.bot_bot_fun_a_bool)) @t491)))) % 1.21/1.46 (assume @p565 (forall @t52 (=> @t103 (= (= @t69 tptp.bot_bot_fun_a_bool) @t490)))) % 1.21/1.46 (assume @p566 (forall (@list @t50) (= (tptp.image_pname_a @t50 tptp.bot_bo844097828e_bool) tptp.bot_bot_fun_a_bool))) % 1.21/1.46 (assume @p567 (forall @t52 (=> @t103 (= (= tptp.bot_bot_fun_a_bool @t69) @t490)))) % 1.21/1.46 (assume @p568 (forall @t539 (and (=> @t537 (= @t536 @t522)) (=> @t538 (= @t536 tptp.bot_bot_fun_nat_bool))))) % 1.21/1.46 (assume @p569 (forall @t539 (and (=> @t541 (= @t540 @t519)) (=> @t542 (= @t540 tptp.bot_bo844097828e_bool))))) % 1.21/1.46 (assume @p570 (forall @t539 (and (=> @t544 (= @t543 @t524)) (=> @t545 (= @t543 tptp.bot_bot_fun_a_bool))))) % 1.21/1.46 (assume @p571 (forall @t539 (and (=> @t547 (= @t546 @t549)) (=> @t548 (= @t546 tptp.bot_bo1701429464l_bool))))) % 1.21/1.46 (assume @p572 (forall @t539 (and (=> @t551 (= @t550 @t553)) (=> @t552 (= @t550 tptp.bot_bo1649642514l_bool))))) % 1.21/1.46 (assume @p573 (forall @t539 (and (=> @t555 (= @t554 @t557)) (=> @t556 (= @t554 tptp.bot_bo1389914601l_bool))))) % 1.21/1.46 (assume @p574 (forall @t539 (and (=> @t537 (= @t559 @t522)) (=> @t538 (= @t559 tptp.bot_bot_fun_nat_bool))))) % 1.21/1.46 (assume @p575 (forall @t539 (and (=> @t541 (= @t561 @t519)) (=> @t542 (= @t561 tptp.bot_bo844097828e_bool))))) % 1.21/1.46 (assume @p576 (forall @t539 (and (=> @t544 (= @t563 @t524)) (=> @t545 (= @t563 tptp.bot_bot_fun_a_bool))))) % 1.21/1.46 (assume @p577 (forall @t539 (and (=> @t547 (= @t565 @t549)) (=> @t548 (= @t565 tptp.bot_bo1701429464l_bool))))) % 1.21/1.46 (assume @p578 (forall @t539 (and (=> @t551 (= @t567 @t553)) (=> @t552 (= @t567 tptp.bot_bo1649642514l_bool))))) % 1.21/1.46 (assume @p579 (forall @t539 (and (=> @t555 (= @t569 @t557)) (=> @t556 (= @t569 tptp.bot_bo1389914601l_bool))))) % 1.21/1.46 (assume @p580 (forall @t485 (= (tptp.collect_nat @t413) @t522))) % 1.21/1.46 (assume @p581 (forall @t485 (= (tptp.collect_pname @t415) @t519))) % 1.21/1.46 (assume @p582 (forall @t485 (= (tptp.collect_a @t417) @t524))) % 1.21/1.46 (assume @p583 (forall @t485 (= (tptp.collect_fun_nat_bool @t407) @t549))) % 1.21/1.46 (assume @p584 (forall @t485 (= (tptp.collec1974731493e_bool @t409) @t553))) % 1.21/1.46 (assume @p585 (forall @t485 (= (tptp.collect_fun_a_bool @t411) @t557))) % 1.21/1.46 (assume @p586 (forall @t485 (= (tptp.collect_nat @t558) @t522))) % 1.21/1.46 (assume @p587 (forall @t485 (= (tptp.collect_pname @t560) @t519))) % 1.21/1.46 (assume @p588 (forall @t485 (= (tptp.collect_a @t562) @t524))) % 1.21/1.46 (assume @p589 (forall @t485 (= (tptp.collect_fun_nat_bool @t564) @t549))) % 1.21/1.46 (assume @p590 (forall @t485 (= (tptp.collec1974731493e_bool @t566) @t553))) % 1.21/1.46 (assume @p591 (forall @t485 (= (tptp.collect_fun_a_bool @t568) @t557))) % 1.21/1.46 (assume @p592 (forall @t571 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t96 @t570)) (or @t489 (= @t21 @t570))))) % 1.21/1.46 (assume @p593 (forall @t571 (=> @t103 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t86 @t572)) (or @t490 (= @t21 @t572)))))) % 1.21/1.46 (assume @p594 (forall @t571 (=> @t106 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t91 @t573)) (or @t491 (= @t21 @t573)))))) % 1.21/1.46 (assume @p595 (forall (@list @t365 @t108 @t21) (=> @t130 @t575))) % 1.21/1.46 (assume @p596 (forall (@list @t365 @t21) (=> @t103 (and (=> @t490 (= @t574 tptp.bot_bot_fun_a_bool)) (=> @t499 @t575))))) % 1.21/1.46 (assume @p597 (forall (@list @t576 @t577) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t576) @t577))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t577) @t576))))) % 1.21/1.46 (assume @p598 (forall @t581 (=> @t580 (=> (tptp.hBOOL (tptp.hAPP_bool_bool @t578 @t419)) (tptp.hBOOL (tptp.hAPP_bool_bool @t578 @t108)))))) % 1.21/1.46 (assume @p599 (forall @t581 (=> @t584 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t582 @t419)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t582 @t108)))))) % 1.21/1.46 (assume @p600 (forall @t581 (=> @t587 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t585 @t419)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t585 @t108)))))) % 1.21/1.46 (assume @p601 (forall (@list @t589 @t591 @t588) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t591) @t588)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t590 @t591)) (tptp.hBOOL (tptp.hAPP_nat_bool @t590 @t588)))))) % 1.21/1.46 (assume @p602 (forall @t581 (=> @t594 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t592 @t419)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t592 @t108)))))) % 1.21/1.46 (assume @p603 (forall @t597 (=> @t580 (=> @t596 @t595)))) % 1.21/1.46 (assume @p604 (forall @t597 (=> @t584 (=> @t599 @t598)))) % 1.21/1.46 (assume @p605 (forall @t597 (=> @t603 (=> @t587 (=> @t600 @t598))))) % 1.21/1.46 (assume @p606 (forall (@list @t604 @t605) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t604) @t605)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t605) @t604)) (= @t605 @t604))))) % 1.21/1.46 (assume @p607 (forall @t597 (=> @t609 (=> @t594 (=> @t606 @t598))))) % 1.21/1.46 (assume @p608 (forall @t610 (=> @t596 (=> (tptp.hBOOL (tptp.hAPP_bool_bool @t579 @t440)) (tptp.hBOOL (tptp.hAPP_bool_bool @t469 @t440)))))) % 1.21/1.46 (assume @p609 (forall @t610 (=> @t599 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t583 @t440)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t472 @t440)))))) % 1.21/1.46 (assume @p610 (forall @t610 (=> @t600 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t586 @t440)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t471 @t440)))))) % 1.21/1.46 (assume @p611 (forall (@list @t611 @t612 @t614) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t613 @t614)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t614) @t611)) (tptp.hBOOL (tptp.hAPP_nat_bool @t613 @t611)))))) % 1.21/1.46 (assume @p612 (forall @t610 (=> @t606 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t593 @t440)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t473 @t440)))))) % 1.21/1.46 (assume @p613 (forall @t615 (=> @t596 (=> @t580 @t595)))) % 1.21/1.46 (assume @p614 (forall @t615 (=> @t599 (=> @t584 @t598)))) % 1.21/1.46 (assume @p615 (forall @t615 (=> @t616 (=> @t600 (=> @t587 @t598))))) % 1.21/1.46 (assume @p616 (forall (@list @t618 @t617) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t618) @t617)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t617) @t618)) (= @t618 @t617))))) % 1.21/1.46 (assume @p617 (forall @t615 (=> @t619 (=> @t606 (=> @t594 @t598))))) % 1.21/1.46 (assume @p618 (forall @t625 (=> (tptp.hBOOL (tptp.hAPP_bool_bool @t624 @t38)) (=> @t623 @t621)))) % 1.21/1.46 (assume @p619 (forall @t625 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t628 @t38)) (=> @t532 @t627)))) % 1.21/1.46 (assume @p620 (forall @t625 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t631 @t38)) (=> @t532 @t630)))) % 1.21/1.46 (assume @p621 (forall (@list @t633 @t634 @t632) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t634) @t632)) (=> (= @t634 @t633) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t633) @t632)))))) % 1.21/1.46 (assume @p622 (forall @t625 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t637 @t38)) (=> @t532 @t636)))) % 1.21/1.46 (assume @p623 (forall @t639 (=> (tptp.hBOOL (tptp.hAPP_bool_bool @t507 @t340)) (=> @t623 @t638)))) % 1.21/1.46 (assume @p624 (forall @t639 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t510 @t340)) (=> @t532 @t640)))) % 1.21/1.46 (assume @p625 (forall @t639 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t502 @t340)) (=> @t532 @t641)))) % 1.21/1.46 (assume @p626 (forall (@list @t642 @t643 @t645) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t644 @t645)) (=> (= @t645 @t642) (tptp.hBOOL (tptp.hAPP_nat_bool @t644 @t642)))))) % 1.21/1.46 (assume @p627 (forall @t639 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t513 @t340)) (=> @t532 @t646)))) % 1.21/1.46 (assume @p628 (forall @t625 (=> @t647 (=> (tptp.hBOOL (tptp.hAPP_bool_bool @t620 @t340)) @t621)))) % 1.21/1.46 (assume @p629 (forall @t639 (=> @t373 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t626 @t340)) @t627)))) % 1.21/1.46 (assume @p630 (forall @t639 (=> @t373 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t629 @t340)) @t630)))) % 1.21/1.46 (assume @p631 (forall (@list @t649 @t648 @t651) (=> (= @t648 @t651) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t650 @t651)) (tptp.hBOOL (tptp.hAPP_nat_bool @t650 @t648)))))) % 1.21/1.46 (assume @p632 (forall @t639 (=> @t373 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t635 @t340)) @t636)))) % 1.21/1.46 (assume @p633 (forall @t625 (=> @t647 (=> (tptp.hBOOL (tptp.hAPP_bool_bool @t624 @t365)) @t638)))) % 1.21/1.46 (assume @p634 (forall @t639 (=> @t373 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t628 @t365)) @t640)))) % 1.21/1.46 (assume @p635 (forall @t639 (=> @t373 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t631 @t365)) @t641)))) % 1.21/1.46 (assume @p636 (forall (@list @t652 @t653 @t654) (=> (= @t653 @t654) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t654) @t652)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t653) @t652)))))) % 1.21/1.46 (assume @p637 (forall @t639 (=> @t373 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t637 @t365)) @t646)))) % 1.21/1.46 (assume @p638 (forall @t597 (=> @t580 (= @t596 @t595)))) % 1.21/1.46 (assume @p639 (forall @t597 (=> @t584 (= @t599 @t598)))) % 1.21/1.46 (assume @p640 (forall @t597 (=> @t603 (=> @t587 (= @t600 @t598))))) % 1.21/1.46 (assume @p641 (forall @t597 (=> @t656 (= @t655 @t598)))) % 1.21/1.46 (assume @p642 (forall @t597 (=> @t609 (=> @t594 (= @t606 @t598))))) % 1.21/1.46 (assume @p643 (forall @t597 (=> @t595 @t596))) % 1.21/1.46 (assume @p644 (forall @t615 (=> @t598 @t599))) % 1.21/1.46 (assume @p645 (forall @t615 (=> @t598 @t600))) % 1.21/1.46 (assume @p646 (forall (@list @t658 @t657) (=> (= @t658 @t657) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t658) @t657))))) % 1.21/1.46 (assume @p647 (forall @t615 (=> @t598 @t606))) % 1.21/1.46 (assume @p648 (forall @t597 (= @t595 (and @t596 @t580)))) % 1.21/1.46 (assume @p649 (forall @t615 (= @t598 (and @t599 @t584)))) % 1.21/1.46 (assume @p650 (forall @t615 (=> @t616 (= @t598 (and @t600 @t587))))) % 1.21/1.46 (assume @p651 (forall @t615 (= @t598 (and @t655 @t656)))) % 1.21/1.46 (assume @p652 (forall @t615 (=> @t619 (= @t598 (and @t606 @t594))))) % 1.21/1.46 (assume @p653 (forall (@list @t659 @t660) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t659) @t660)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t660) @t659))))) % 1.21/1.46 (assume @p654 (forall @t665 (=> @t33 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t29) @t21)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t138 tptp.bot_bot_fun_nat_bool)) (=> (forall @t664 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t661)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t663 @t21)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t663 @t661))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t138 @t661)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t138 (tptp.insert_nat @t662 @t661)))))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t138 @t29)))))))) % 1.21/1.46 (assume @p655 (forall @t665 (=> @t31 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t29) @t21)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t138 tptp.bot_bo844097828e_bool)) (=> (forall @t664 (=> (and (tptp.is_pname @t662) (tptp.is_fun_pname_bool @t661)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t661)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t666 @t21)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t666 @t661))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t138 @t661)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t138 (tptp.insert_pname @t662 @t661))))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t138 @t29)))))))) % 1.21/1.46 (assume @p656 (forall @t665 (=> @t34 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t29) @t21)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t138 tptp.bot_bot_fun_a_bool)) (=> (forall @t664 (=> (and (tptp.is_a @t662) (tptp.is_fun_a_bool @t661)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t661)) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t667 @t21)) (=> (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t667 @t661))) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t138 @t661)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t138 (tptp.insert_a @t662 @t661))))))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t138 @t29)))))))) % 1.21/1.46 (assume @p657 (forall @t665 (=> @t35 (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool @t29) @t21)) (=> @t672 (=> (forall @t664 (=> @t671 (=> (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t670 @t21)) (=> (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t670 @t661))) (=> @t669 (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t138 (tptp.insert_fun_nat_bool @t662 @t661)))))))) @t668)))))) % 1.21/1.46 (assume @p658 (forall @t665 (=> @t36 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool @t29) @t21)) (=> @t678 (=> (forall @t664 (=> (and (tptp.is_fun_pname_bool @t662) @t677) (=> @t676 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t675 @t21)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t675 @t661))) (=> @t674 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t138 (tptp.insert1325755072e_bool @t662 @t661))))))))) @t673)))))) % 1.21/1.46 (assume @p659 (forall @t665 (=> @t37 (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool @t29) @t21)) (=> @t684 (=> (forall @t664 (=> (and (tptp.is_fun_a_bool @t662) @t683) (=> @t682 (=> (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t681 @t21)) (=> (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t681 @t661))) (=> @t680 (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t138 (tptp.insert_fun_a_bool @t662 @t661))))))))) @t679)))))) % 1.21/1.46 (assume @p660 (forall (@list @t685 @t19) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.p (tptp.insert_a @t686 @t19)) (tptp.insert_a (tptp.mgt @t687) tptp.bot_bot_fun_a_bool))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t20 (tptp.insert_a @t686 tptp.bot_bot_fun_a_bool)))))) % 1.21/1.46 (assume @p661 (forall @t689 (=> @t35 (=> @t672 (=> (forall @t688 (=> @t671 (=> (not (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t321 @t661))) (=> @t669 (tptp.hBOOL (tptp.hAPP_f1637334154l_bool @t138 (tptp.insert_fun_nat_bool @t297 @t661))))))) @t668))))) % 1.21/1.46 (assume @p662 (forall @t689 (=> @t36 (=> @t678 (=> (forall @t688 (=> (and @t328 @t677) (=> @t676 (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t326 @t661))) (=> @t674 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t138 (tptp.insert1325755072e_bool @t297 @t661)))))))) @t673))))) % 1.21/1.46 (assume @p663 (forall @t689 (=> @t37 (=> @t684 (=> (forall @t688 (=> (and @t334 @t683) (=> @t682 (=> (not (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t332 @t661))) (=> @t680 (tptp.hBOOL (tptp.hAPP_f621171935l_bool @t138 (tptp.insert_fun_a_bool @t297 @t661)))))))) @t679))))) % 1.21/1.46 (assume @p664 (forall (@list @t690 @t50) (=> (forall @t294 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t292) @t296))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool (tptp.cOMBB_800536526ol_nat tptp.ord_less_eq_nat @t50)) @t690))))))) % 1.21/1.46 (assume @p665 (forall (@list @t685) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname @t685) tptp.u)) (tptp.hBOOL (tptp.wt @t687))))) % 1.21/1.46 (assume @p666 (forall @t186 (= (tptp.hAPP_nat_nat @t161 @t181) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat @t161 tptp.one_one_nat)) @t159)))) % 1.21/1.46 (assume @p667 (forall @t182 (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t181) tptp.one_one_nat) @t159))) % 1.21/1.46 (assume @p668 (forall @t206 (= @t691 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.nat_case_bool tptp.fFalse @t204) @t172))))) % 1.21/1.46 (assume @p669 (forall @t186 (= @t695 @t694))) % 1.21/1.46 (assume @p670 (forall @t186 (= @t696 @t694))) % 1.21/1.46 (assume @p671 (forall @t186 (= @t696 @t695))) % 1.21/1.46 (assume @p672 (forall (@list @t199 @t169 @t172) (= (= @t698 (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t172) @t169)) @t220))) % 1.21/1.46 (assume @p673 (forall @t702 (= (= @t701 @t700) @t220))) % 1.21/1.46 (assume @p674 (forall @t209 (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t693) @t187) (tptp.hAPP_nat_nat @t692 @t704)))) % 1.21/1.46 (assume @p675 (forall (@list @t176 @t175 @t705) (= (tptp.hAPP_nat_nat @t706 @t708) (tptp.hAPP_nat_nat @t707 (tptp.hAPP_nat_nat @t706 @t705))))) % 1.21/1.46 (assume @p676 (forall @t186 (= @t693 @t709))) % 1.21/1.46 (assume @p677 (forall @t186 (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t693) @t159) @t160))) % 1.21/1.46 (assume @p678 (forall @t168 (= (tptp.hAPP_nat_nat @t710 @t159) @t160))) % 1.21/1.46 (assume @p679 (forall @t195 (= @t194 (tptp.hAPP_nat_nat @t193 @t712)))) % 1.21/1.46 (assume @p680 (forall (@list @t187 @t160 @t159) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t715) @t714) @t162))) % 1.21/1.46 (assume @p681 (forall @t718 (= (tptp.hAPP_nat_nat @t717 @t704) @t162))) % 1.21/1.46 (assume @p682 (forall @t168 (tptp.hBOOL (tptp.hAPP_nat_bool @t166 @t693)))) % 1.21/1.46 (assume @p683 (forall @t168 (tptp.hBOOL (tptp.hAPP_nat_bool @t166 @t709)))) % 1.21/1.46 (assume @p684 (forall @t206 (= @t205 (exists @t721 (= @t172 @t720))))) % 1.21/1.46 (assume @p685 (forall @t702 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t701) @t700)) @t205))) % 1.21/1.46 (assume @p686 (forall @t723 (=> @t191 (tptp.hBOOL (tptp.hAPP_nat_bool @t189 @t722))))) % 1.21/1.46 (assume @p687 (forall @t723 (=> @t191 (tptp.hBOOL (tptp.hAPP_nat_bool @t189 @t724))))) % 1.21/1.46 (assume @p688 (forall @t192 (=> @t191 (tptp.hBOOL (tptp.hAPP_nat_bool @t727 @t712))))) % 1.21/1.46 (assume @p689 (forall @t729 (=> @t191 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t218 @t221)) (tptp.hBOOL (tptp.hAPP_nat_bool @t727 @t728)))))) % 1.21/1.46 (assume @p690 (forall @t718 (=> @t730 @t219))) % 1.21/1.46 (assume @p691 (forall @t718 (=> @t730 @t185))) % 1.21/1.46 (assume @p692 (forall @t718 (=> @t730 (not (=> @t185 (not @t219)))))) % 1.21/1.46 (assume @p693 (forall @t737 (=> @t736 (= @t735 @t733)))) % 1.21/1.46 (assume @p694 (forall @t737 (=> @t736 (= @t733 @t735)))) % 1.21/1.46 (assume @p695 (forall @t737 (=> @t736 (= @t740 @t738)))) % 1.21/1.46 (assume @p696 (forall (@list @t169 @t398 @t741) (=> @t744 (= (= (tptp.hAPP_nat_nat @t742 @t398) @t169) (= @t741 (tptp.hAPP_nat_nat @t699 @t398)))))) % 1.21/1.46 (assume @p697 (forall @t168 (=> @t167 (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t162) @t159) @t160)))) % 1.21/1.46 (assume @p698 (forall (@list @t398 @t169 @t741) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t213 @t741)) (= (tptp.hBOOL (tptp.hAPP_nat_bool @t743 @t746)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t745) @t741)))))) % 1.21/1.46 (assume @p699 (forall @t737 (=> @t736 (= @t738 @t740)))) % 1.21/1.46 (assume @p700 (forall @t168 (=> @t167 @t747))) % 1.21/1.46 (assume @p701 (forall @t718 (=> @t219 (tptp.hBOOL (tptp.hAPP_nat_bool @t184 (tptp.hAPP_nat_nat @t710 @t187)))))) % 1.21/1.46 (assume @p702 (forall (@list @t741 @t169 @t398) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t746) @t398)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t741) @t745))))) % 1.21/1.46 (assume @p703 (forall @t737 (=> @t736 (= (tptp.hAPP_nat_nat @t193 @t732) (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t726) @t190))))) % 1.21/1.46 (assume @p704 (forall @t182 (= @t181 (tptp.hAPP_nat_nat @t703 tptp.one_one_nat)))) % 1.21/1.46 (assume @p705 (forall @t182 (= @t181 (tptp.hAPP_nat_nat (tptp.plus_plus_nat tptp.one_one_nat) @t159)))) % 1.21/1.46 (assume @p706 (forall @t750 (=> @t736 (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t749) @t160) (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t748) @t715))))) % 1.21/1.46 (assume @p707 (forall @t750 (=> @t736 (= (tptp.hAPP_nat_nat @t161 @t749) (tptp.hAPP_nat_nat @t717 @t748))))) % 1.21/1.46 (assume @p708 (forall @t754 (=> @t753 @t752))) % 1.21/1.46 (assume @p709 (forall @t755 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t751 @t705)) @t752))) % 1.21/1.46 (assume @p710 (forall @t182 (tptp.hBOOL (tptp.hAPP_nat_bool @t756 @t181)))) % 1.21/1.46 (assume @p711 (forall @t186 (=> @t760 @t758))) % 1.21/1.46 (assume @p712 (forall @t171 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool @t761 @t169)))))) % 1.21/1.46 (assume @p713 (forall @t754 (=> @t764 @t763))) % 1.21/1.46 (assume @p714 (forall @t755 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t762 @t705)) @t763))) % 1.21/1.46 (assume @p715 (forall @t195 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t767 @t187)) @t766))) % 1.21/1.46 (assume @p716 (forall (@list @t160 @t159 @t187 @t221) (=> @t768 (=> (= (tptp.hAPP_nat_nat @t692 @t221) @t714) @t760)))) % 1.21/1.46 (assume @p717 (forall @t729 (=> @t770 (=> @t768 (tptp.hBOOL (tptp.hAPP_nat_bool @t769 @t728)))))) % 1.21/1.46 (assume @p718 (forall @t192 (=> @t770 (tptp.hBOOL (tptp.hAPP_nat_bool @t769 @t712))))) % 1.21/1.46 (assume @p719 (forall @t723 (=> @t770 (tptp.hBOOL (tptp.hAPP_nat_bool @t765 @t724))))) % 1.21/1.46 (assume @p720 (forall @t723 (=> @t770 (tptp.hBOOL (tptp.hAPP_nat_bool @t765 @t722))))) % 1.21/1.46 (assume @p721 (forall @t702 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t701) @t700)) @t772))) % 1.21/1.46 (assume @p722 (forall (@list @t190 @t188) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t734) @t188))))) % 1.21/1.46 (assume @p723 (forall (@list @t188 @t190) (not (tptp.hBOOL (tptp.hAPP_nat_bool @t767 @t188))))) % 1.21/1.46 (assume @p724 (forall @t186 (=> @t758 @t760))) % 1.21/1.46 (assume @p725 (forall @t186 (=> @t773 @t760))) % 1.21/1.46 (assume @p726 (forall @t186 (=> @t775 (=> @t774 @t183)))) % 1.21/1.46 (assume @p727 (forall @t192 (=> @t770 (=> @t778 @t777)))) % 1.21/1.46 (assume @p728 (forall @t186 (=> @t760 (=> (not (= @t163 @t159)) @t773)))) % 1.21/1.46 (assume @p729 (forall @t186 (=> @t760 @t775))) % 1.21/1.46 (assume @p730 (forall @t168 (=> (not @t779) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t756 @t163)) @t183)))) % 1.21/1.46 (assume @p731 (forall @t203 (=> (not @t783) @t782))) % 1.21/1.46 (assume @p732 (forall @t206 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t201) @t173)) @t772))) % 1.21/1.46 (assume @p733 (forall @t206 (= @t785 @t784))) % 1.21/1.46 (assume @p734 (forall @t206 (= (not @t772) @t781))) % 1.21/1.46 (assume @p735 (forall @t186 (=> (or @t760 @t183) @t185))) % 1.21/1.46 (assume @p736 (forall @t186 (=> @t185 (=> @t786 @t760)))) % 1.21/1.46 (assume @p737 (forall @t186 (=> @t760 @t185))) % 1.21/1.46 (assume @p738 (forall @t206 (= @t205 @t784))) % 1.21/1.46 (assume @p739 (forall @t206 (= @t772 (and @t205 @t787)))) % 1.21/1.46 (assume @p740 (forall @t222 (=> @t760 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t759 @t221)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t225) @t224)))))) % 1.21/1.46 (assume @p741 (forall (@list @t159 @t190 @t187) (=> @t778 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t731 @t159)) @t187))))) % 1.21/1.46 (assume @p742 (forall @t178 (=> @t764 @t753))) % 1.21/1.46 (assume @p743 (forall @t182 (not (tptp.hBOOL (tptp.hAPP_nat_bool @t756 @t159))))) % 1.21/1.46 (assume @p744 (forall @t206 (= @t787 (or @t772 @t783)))) % 1.21/1.46 (assume @p745 (forall @t178 (=> @t788 (=> (not @t764) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t175) @t176)))))) % 1.21/1.46 (assume @p746 (forall @t168 (=> @t779 @t786))) % 1.21/1.46 (assume @p747 (forall (@list @t790 @t789) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t790) @t789)) (not (= @t790 @t789))))) % 1.21/1.46 (assume @p748 (forall (@list @t138 @t199 @t172) (=> (=> @t772 @t791) (=> (=> @t220 @t791) (=> (=> @t783 @t791) @t791))))) % 1.21/1.46 (assume @p749 (forall @t478 (= @t477 (exists @t401 (forall @t303 (=> @t476 (tptp.hBOOL (tptp.hAPP_nat_bool @t792 @t399)))))))) % 1.21/1.46 (assume @p750 (forall @t174 (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool @t761 @t172))) @t172))) % 1.21/1.46 (assume @p751 (forall (@list @t138 @t398) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool @t155 (tptp.hAPP_n1699378549t_bool @t761 @t398))))))) % 1.21/1.46 (assume @p752 (forall @t793 (tptp.hBOOL (tptp.hAPP_nat_bool @t765 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat @t725 @t160)))))) % 1.21/1.46 (assume @p753 (forall @t793 (tptp.hBOOL (tptp.hAPP_nat_bool @t765 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat @t692 @t188)))))) % 1.21/1.46 (assume @p754 (forall @t206 (= @t772 (exists @t721 (= @t172 (tptp.hAPP_nat_nat tptp.suc @t720)))))) % 1.21/1.46 (assume @p755 (forall @t203 (= @t783 @t207))) % 1.21/1.46 (assume @p756 (forall @t206 (= @t785 @t205))) % 1.21/1.46 (assume @p757 (forall @t206 (= @t691 @t772))) % 1.21/1.46 (assume @p758 (forall @t186 (=> @t185 @t775))) % 1.21/1.46 (assume @p759 (forall @t186 (=> @t760 @t197))) % 1.21/1.46 (assume @p760 (forall @t206 (=> @t205 @t782))) % 1.21/1.46 (assume @p761 (forall @t186 (=> @t197 @t760))) % 1.21/1.46 (assume @p762 (forall @t186 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t162) @t163)))) % 1.21/1.46 (assume @p763 (forall @t186 (=> @t774 @t747))) % 1.21/1.46 (assume @p764 (forall (@list @t398 @t741 @t169) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t398) @t746)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t745) @t741))))) % 1.21/1.46 (assume @p765 (forall (@list @t794 @t796 @t795) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t796) @t795)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t794) @t796)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t796) @t794)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t795) @t794))))))) % 1.21/1.46 (assume @p766 (forall @t216 (=> @t215 (=> @t214 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t212) @t210)) @t772))))) % 1.21/1.46 (assume @p767 (forall @t303 (= @t792 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc @t297))))) % 1.21/1.46 (assume @p768 (forall (@list @t199 @t169 @t50) (=> (forall (@list @t399 @t292) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t399) @t292)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t50 @t399)) @t296)))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat @t50 @t199)) @t169)) (tptp.hAPP_nat_nat @t50 @t698)))))) % 1.21/1.46 (assume @p769 (forall (@list @t138 @t398 @t741) (=> @t744 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t138 @t741)) (=> (forall (@list @t797) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t798 @t741)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t138 (tptp.hAPP_nat_nat tptp.suc @t797))) (tptp.hBOOL (tptp.hAPP_nat_bool @t138 @t797))))) (tptp.hBOOL (tptp.hAPP_nat_bool @t138 @t398))))))) % 1.21/1.46 (assume @p770 (forall @t186 (=> @t760 (exists @t721 (= @t159 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat @t692 @t719))))))) % 1.21/1.46 (assume @p771 (forall (@list @t172 @t475) (=> (forall @t303 (=> @t476 (tptp.hBOOL (tptp.hAPP_nat_bool @t792 @t172)))) @t477))) % 1.21/1.46 (assume @p772 (forall (@list @t398 @t741 @t50) (=> (forall (@list @t797 @t799) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t798 @t799)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t50 @t797)) (tptp.hAPP_nat_nat @t50 @t799))))) (=> @t744 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t50 @t398)) (tptp.hAPP_nat_nat @t50 @t741))))))) % 1.21/1.46 (assume @p773 (forall @t801 (=> @t777 @t800))) % 1.21/1.46 (assume @p774 (forall @t801 (=> @t766 (=> (not (= @t187 @t776)) @t800)))) % 1.21/1.46 (assume @p775 (forall @t182 (not (tptp.hBOOL (tptp.hAPP_nat_bool @t756 tptp.zero_zero_nat))))) % 1.21/1.46 (assume @p776 (forall @t182 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) @t159)))) % 1.21/1.46 (assume @p777 (forall @t182 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) @t181)))) % 1.21/1.46 (assume @p778 (forall @t206 (= (= @t805 @t802) @t804))) % 1.21/1.46 (assume @p779 (forall @t206 (= (= @t802 @t805) @t804))) % 1.21/1.46 (assume @p780 (forall @t168 (= (tptp.hAPP_nat_nat @t217 @t709) tptp.zero_zero_nat))) % 1.21/1.46 (assume @p781 (forall @t186 (=> @t185 @t806))) % 1.21/1.46 (assume @p782 (forall @t206 (= (= (tptp.hAPP_nat_nat @t211 @t172) tptp.zero_zero_nat) @t205))) % 1.21/1.46 (assume @p783 (= tptp.one_one_nat @t802)) % 1.21/1.46 (assume @p784 (forall @t186 (=> @t806 (=> (= (tptp.hAPP_nat_nat @t217 @t160) tptp.zero_zero_nat) @t183)))) % 1.21/1.46 (assume @p785 (forall @t807 (= (tptp.hAPP_nat_nat @t161 @t160) tptp.zero_zero_nat))) % 1.21/1.46 (assume @p786 (forall @t807 (= (tptp.hAPP_nat_nat @t161 tptp.zero_zero_nat) @t160))) % 1.21/1.46 (assume @p787 (forall @t182 (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat tptp.zero_zero_nat) @t159) tptp.zero_zero_nat))) % 1.21/1.46 (assume @p788 (forall @t807 (not (= @t163 tptp.zero_zero_nat)))) % 1.21/1.46 (assume @p789 (forall @t807 (not (= tptp.zero_zero_nat @t163)))) % 1.21/1.46 (assume @p790 (forall (@list @t808) (not (= (tptp.hAPP_nat_nat tptp.suc @t808) tptp.zero_zero_nat)))) % 1.21/1.46 (assume @p791 (forall (@list @t809) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc @t809))))) % 1.21/1.46 (assume @p792 (= tptp.bot_bot_nat tptp.zero_zero_nat)) % 1.21/1.46 (assume @p793 (forall @t174 (= (tptp.hBOOL (tptp.hAPP_nat_bool @t200 tptp.zero_zero_nat)) @t803))) % 1.21/1.46 (assume @p794 (forall @t814 (or (not @t813) @t812))) % 1.21/1.46 (assume @p795 (forall @t814 (or @t811 @t813))) % 1.21/1.46 (assume @p796 (forall @t819 (or @t812 @t818 @t816))) % 1.21/1.46 (assume @p797 (forall @t821 (or @t820 @t811))) % 1.21/1.46 (assume @p798 (forall @t821 (or @t820 @t817))) % 1.21/1.46 (assume @p799 (forall @t819 (or @t812 @t822))) % 1.21/1.46 (assume @p800 (forall @t821 (or @t818 @t822))) % 1.21/1.46 (assume @p801 (forall @t821 (or (not @t822) @t811 @t817))) % 1.21/1.46 (assume @p802 (not (tptp.hBOOL tptp.fFalse))) % 1.21/1.46 (assume @p803 (forall @t814 (=> @t823 (or (= @t810 tptp.fTrue) (= @t810 tptp.fFalse))))) % 1.21/1.46 (assume @p804 (forall @t819 (or @t811 @t824))) % 1.21/1.46 (assume @p805 (forall @t821 (or @t818 @t824))) % 1.21/1.46 (assume @p806 (forall @t821 (or (not @t824) @t812 @t817))) % 1.21/1.46 (assume @p807 (forall @t178 (=> (and (tptp.is_a @t176) (tptp.is_a @t175)) (or (not @t825) @t177)))) % 1.21/1.46 (assume @p808 (forall @t178 (or @t788 @t825))) % 1.21/1.46 (assume @p809 (forall @t178 (or (not @t826) @t177))) % 1.21/1.46 (assume @p810 (forall @t178 (or @t788 @t826))) % 1.21/1.46 (assume @p811 (forall @t178 (=> (and (tptp.is_pname @t176) (tptp.is_pname @t175)) (or (not @t827) @t177)))) % 1.21/1.46 (assume @p812 (forall @t178 (or @t788 @t827))) % 1.21/1.46 (assume @p813 (forall @t821 (=> @t823 (= (tptp.hAPP_a_bool (tptp.cOMBK_bool_a @t810) @t815) @t810)))) % 1.21/1.46 (assume @p814 (forall @t821 (=> (tptp.is_a @t810) (= (tptp.hAPP_pname_a (tptp.cOMBK_a_pname @t810) @t815) @t810)))) % 1.21/1.46 (assume @p815 (forall @t829 (= (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool @t810) @t815) @t828) (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p816 (forall @t821 (=> @t823 (= (tptp.hAPP_nat_bool (tptp.cOMBK_bool_nat @t810) @t815) @t810)))) % 1.21/1.46 (assume @p817 (forall @t178 (=> (and (tptp.is_fun_a_bool @t176) (tptp.is_fun_a_bool @t175)) (or (not @t830) @t177)))) % 1.21/1.46 (assume @p818 (forall @t178 (or @t788 @t830))) % 1.21/1.46 (assume @p819 (forall @t821 (=> @t823 (= (tptp.hAPP_pname_bool (tptp.cOMBK_bool_pname @t810) @t815) @t810)))) % 1.21/1.46 (assume @p820 (forall @t829 (= (tptp.hAPP_a_bool (tptp.hAPP_nat_fun_a_bool (tptp.cOMBC_a_nat_bool @t810) @t815) @t828) (tptp.hAPP_nat_bool (tptp.hAPP_a_fun_nat_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p821 (forall @t829 (= (tptp.hAPP_nat_bool (tptp.hAPP_a_fun_nat_bool (tptp.cOMBC_nat_a_bool @t810) @t815) @t828) (tptp.hAPP_a_bool (tptp.hAPP_nat_fun_a_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p822 (forall @t829 (= (tptp.hAPP_a_bool (tptp.cOMBB_bool_bool_a @t810 @t815) @t828) (tptp.hAPP_bool_bool @t810 @t831)))) % 1.21/1.46 (assume @p823 (forall @t829 (= (tptp.hAPP_a_bool (tptp.cOMBS_a_bool_bool @t810 @t815) @t828) (tptp.hAPP_bool_bool (tptp.hAPP_a_fun_bool_bool @t810 @t828) @t831)))) % 1.21/1.46 (assume @p824 (forall @t829 (= (tptp.hAPP_a_bool (tptp.hAPP_p1534023578a_bool (tptp.cOMBC_a_pname_bool @t810) @t815) @t828) (tptp.hAPP_pname_bool (tptp.hAPP_a93125764e_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p825 (forall @t829 (= (tptp.hAPP_pname_bool (tptp.hAPP_a93125764e_bool (tptp.cOMBC_pname_a_bool @t810) @t815) @t828) (tptp.hAPP_a_bool (tptp.hAPP_p1534023578a_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p826 (forall @t178 (or (not @t832) @t177))) % 1.21/1.46 (assume @p827 (forall @t178 (or @t788 @t832))) % 1.21/1.46 (assume @p828 (forall @t178 (=> (and (tptp.is_fun_pname_bool @t176) (tptp.is_fun_pname_bool @t175)) (or (not @t833) @t177)))) % 1.21/1.46 (assume @p829 (forall @t178 (or @t788 @t833))) % 1.21/1.46 (assume @p830 (forall @t829 (= (tptp.hAPP_a_fun_a_bool (tptp.cOMBB_a_fun_a_bool_a @t810 @t815) @t828) (tptp.hAPP_a_fun_a_bool @t810 (tptp.hAPP_a_a @t815 @t828))))) % 1.21/1.46 (assume @p831 (forall @t829 (= (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool @t810) @t815) @t828) (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p832 (forall @t829 (= (tptp.hAPP_nat_bool (tptp.cOMBB_bool_bool_nat @t810 @t815) @t828) (tptp.hAPP_bool_bool @t810 @t834)))) % 1.21/1.46 (assume @p833 (forall @t821 (=> @t823 (= (tptp.hAPP_fun_a_bool_bool (tptp.cOMBK_324466864a_bool @t810) @t815) @t810)))) % 1.21/1.46 (assume @p834 (forall @t829 (= (tptp.hAPP_nat_bool (tptp.cOMBS_nat_bool_bool @t810 @t815) @t828) (tptp.hAPP_bool_bool (tptp.hAPP_n1006566506l_bool @t810 @t828) @t834)))) % 1.21/1.46 (assume @p835 (forall @t829 (= (tptp.hAPP_pname_bool (tptp.hAPP_n1025906991e_bool (tptp.cOMBC_pname_nat_bool @t810) @t815) @t828) (tptp.hAPP_nat_bool (tptp.hAPP_p1499970991t_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p836 (forall @t829 (= (tptp.hAPP_nat_bool (tptp.hAPP_p1499970991t_bool (tptp.cOMBC_nat_pname_bool @t810) @t815) @t828) (tptp.hAPP_pname_bool (tptp.hAPP_n1025906991e_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p837 (forall @t829 (= (tptp.hAPP_pname_bool (tptp.cOMBB_647938656_pname @t810 @t815) @t828) (tptp.hAPP_bool_bool @t810 @t835)))) % 1.21/1.46 (assume @p838 (forall @t829 (= (tptp.hAPP_pname_bool (tptp.cOMBS_568398431l_bool @t810 @t815) @t828) (tptp.hAPP_bool_bool (tptp.hAPP_p393069232l_bool @t810 @t828) @t835)))) % 1.21/1.46 (assume @p839 (forall @t829 (= (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool @t810) @t815) @t828) (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p840 (forall @t829 (= (tptp.hAPP_nat_fun_a_bool (tptp.cOMBB_1885489796ol_nat @t810 @t815) @t828) (tptp.hAPP_a_fun_a_bool @t810 (tptp.hAPP_nat_a @t815 @t828))))) % 1.21/1.46 (assume @p841 (forall @t829 (= (tptp.hAPP_a_bool (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool @t810) @t815) @t828) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p842 (forall @t829 (= (tptp.hAPP_p1534023578a_bool (tptp.cOMBB_1897541054_pname @t810 @t815) @t828) (tptp.hAPP_a_fun_a_bool @t810 (tptp.hAPP_pname_a @t815 @t828))))) % 1.21/1.46 (assume @p843 (forall @t821 (=> @t823 (= (tptp.hAPP_f54304608l_bool (tptp.cOMBK_1994329625t_bool @t810) @t815) @t810)))) % 1.21/1.46 (assume @p844 (forall @t821 (=> @t823 (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBK_1857069011e_bool @t810) @t815) @t810)))) % 1.21/1.46 (assume @p845 (forall @t829 (= (tptp.hAPP_a_fun_nat_bool (tptp.cOMBB_1321347587bool_a @t810 @t815) @t828) (tptp.hAPP_n1699378549t_bool @t810 (tptp.hAPP_a_nat @t815 @t828))))) % 1.21/1.46 (assume @p846 (forall @t829 (= (tptp.hAPP_a_bool (tptp.hAPP_f1549043526a_bool (tptp.cOMBC_777206479l_bool @t810) @t815) @t828) (tptp.hAPP_f54304608l_bool (tptp.hAPP_a1392362872l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p847 (forall @t829 (= (tptp.hAPP_nat_bool (tptp.hAPP_f282463732t_bool (tptp.cOMBC_1928494297l_bool @t810) @t815) @t828) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_n1414589940l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p848 (forall @t829 (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_n1414589940l_bool (tptp.cOMBC_619334683t_bool @t810) @t815) @t828) (tptp.hAPP_nat_bool (tptp.hAPP_f282463732t_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p849 (forall @t829 (= (tptp.hAPP_fun_a_bool_bool (tptp.cOMBB_2140588453a_bool @t810 @t815) @t828) (tptp.hAPP_bool_bool @t810 @t836)))) % 1.21/1.46 (assume @p850 (forall @t829 (= (tptp.hAPP_a_fun_bool_bool (tptp.cOMBB_1972296269bool_a @t810 @t815) @t828) (tptp.hAPP_b589554111l_bool @t810 @t831)))) % 1.21/1.46 (assume @p851 (forall @t829 (= (tptp.hAPP_fun_a_bool_bool (tptp.cOMBS_1035972772l_bool @t810 @t815) @t828) (tptp.hAPP_bool_bool (tptp.hAPP_f198738859l_bool @t810 @t828) @t836)))) % 1.21/1.46 (assume @p852 (forall @t829 (= (tptp.hAPP_a_bool (tptp.hAPP_f1051908748a_bool (tptp.cOMBC_1834145417l_bool @t810) @t815) @t828) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_a217006258l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p853 (forall @t829 (= (tptp.hAPP_pname_bool (tptp.hAPP_f1794073134e_bool (tptp.cOMBC_445755039l_bool @t810) @t815) @t828) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_p1824510254l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p854 (forall @t829 (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_p1824510254l_bool (tptp.cOMBC_1738168533e_bool @t810) @t815) @t828) (tptp.hAPP_pname_bool (tptp.hAPP_f1794073134e_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p855 (forall @t829 (= (tptp.hAPP_a93125764e_bool (tptp.cOMBB_610033911bool_a @t810 @t815) @t828) (tptp.hAPP_p61793385e_bool @t810 (tptp.hAPP_a_pname @t815 @t828))))) % 1.21/1.46 (assume @p856 (forall @t829 (= (tptp.hAPP_n1699378549t_bool (tptp.cOMBB_800536526ol_nat @t810 @t815) @t828) (tptp.hAPP_n1699378549t_bool @t810 (tptp.hAPP_nat_nat @t815 @t828))))) % 1.21/1.46 (assume @p857 (forall @t829 (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool @t810) @t815) @t828) (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p858 (forall @t829 (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool (tptp.cOMBC_385542954t_bool @t810) @t815) @t828) (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p859 (forall @t829 (= (tptp.hAPP_f54304608l_bool (tptp.cOMBB_238756964t_bool @t810 @t815) @t828) (tptp.hAPP_bool_bool @t810 @t837)))) % 1.21/1.46 (assume @p860 (forall @t829 (= (tptp.hAPP_n1006566506l_bool (tptp.cOMBB_1015721476ol_nat @t810 @t815) @t828) (tptp.hAPP_b589554111l_bool @t810 @t834)))) % 1.21/1.46 (assume @p861 (forall @t829 (= (tptp.hAPP_p1499970991t_bool (tptp.cOMBB_523834888_pname @t810 @t815) @t828) (tptp.hAPP_n1699378549t_bool @t810 (tptp.hAPP_pname_nat @t815 @t828))))) % 1.21/1.46 (assume @p862 (forall @t829 (= (tptp.hAPP_f54304608l_bool (tptp.cOMBS_1187019125l_bool @t810 @t815) @t828) (tptp.hAPP_bool_bool (tptp.hAPP_f1748468828l_bool @t810 @t828) @t837)))) % 1.21/1.46 (assume @p863 (forall @t829 (= (tptp.hAPP_pname_bool (tptp.hAPP_f654413245e_bool (tptp.cOMBC_267053842l_bool @t810) @t815) @t828) (tptp.hAPP_f54304608l_bool (tptp.hAPP_p130839763l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p864 (forall @t829 (= (tptp.hAPP_nat_bool (tptp.hAPP_f1066163005t_bool (tptp.cOMBC_386238098l_bool @t810) @t815) @t828) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_n850744903l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p865 (forall @t829 (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_n850744903l_bool (tptp.cOMBC_1666426608t_bool @t810) @t815) @t828) (tptp.hAPP_nat_bool (tptp.hAPP_f1066163005t_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p866 (forall @t829 (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_p130839763l_bool (tptp.cOMBC_615407716e_bool @t810) @t815) @t828) (tptp.hAPP_pname_bool (tptp.hAPP_f654413245e_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p867 (forall @t829 (= (tptp.hAPP_n1025906991e_bool (tptp.cOMBB_1212655066ol_nat @t810 @t815) @t828) (tptp.hAPP_p61793385e_bool @t810 (tptp.hAPP_nat_pname @t815 @t828))))) % 1.21/1.46 (assume @p868 (forall @t829 (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBB_307249310e_bool @t810 @t815) @t828) (tptp.hAPP_bool_bool @t810 @t838)))) % 1.21/1.46 (assume @p869 (forall @t829 (= (tptp.hAPP_p393069232l_bool (tptp.cOMBB_675860798_pname @t810 @t815) @t828) (tptp.hAPP_b589554111l_bool @t810 @t835)))) % 1.21/1.46 (assume @p870 (forall @t829 (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBS_350070575l_bool @t810 @t815) @t828) (tptp.hAPP_bool_bool (tptp.hAPP_f1476298914l_bool @t810 @t828) @t838)))) % 1.21/1.46 (assume @p871 (forall @t829 (= (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool @t810) @t815) @t828) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p872 (forall @t829 (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool (tptp.cOMBC_1004116266e_bool @t810) @t815) @t828) (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p873 (forall @t829 (= (tptp.hAPP_p61793385e_bool (tptp.cOMBB_542850580_pname @t810 @t815) @t828) (tptp.hAPP_p61793385e_bool @t810 (tptp.hAPP_pname_pname @t815 @t828))))) % 1.21/1.46 (assume @p874 (forall @t829 (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool (tptp.cOMBC_1732670874l_bool @t810) @t815) @t828) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p875 (forall @t829 (= (tptp.hAPP_f282463732t_bool (tptp.cOMBB_164527437a_bool @t810 @t815) @t828) (tptp.hAPP_n1699378549t_bool @t810 (tptp.hAPP_fun_a_bool_nat @t815 @t828))))) % 1.21/1.46 (assume @p876 (forall @t829 (= (tptp.hAPP_f198738859l_bool (tptp.cOMBB_338059395a_bool @t810 @t815) @t828) (tptp.hAPP_b589554111l_bool @t810 @t836)))) % 1.21/1.46 (assume @p877 (forall @t829 (= (tptp.hAPP_f1794073134e_bool (tptp.cOMBB_1693087065a_bool @t810 @t815) @t828) (tptp.hAPP_p61793385e_bool @t810 (tptp.hAPP_f1128469712_pname @t815 @t828))))) % 1.21/1.46 (assume @p878 (forall @t829 (= (tptp.hAPP_f800510211t_bool (tptp.cOMBB_1250273980t_bool @t810 @t815) @t828) (tptp.hAPP_n1699378549t_bool @t810 (tptp.hAPP_f22106695ol_nat @t815 @t828))))) % 1.21/1.46 (assume @p879 (forall @t829 (= (tptp.hAPP_a85458249l_bool (tptp.cOMBB_472261505bool_a @t810 @t815) @t828) (tptp.hAPP_f1631501043l_bool @t810 (tptp.hAPP_a_fun_a_bool @t815 @t828))))) % 1.21/1.46 (assume @p880 (forall @t829 (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool (tptp.cOMBC_1693257480l_bool @t810) @t815) @t828) (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p881 (forall @t829 (= (tptp.hAPP_f1748468828l_bool (tptp.cOMBB_444170502t_bool @t810 @t815) @t828) (tptp.hAPP_b589554111l_bool @t810 @t837)))) % 1.21/1.46 (assume @p882 (forall @t829 (= (tptp.hAPP_f1066163005t_bool (tptp.cOMBB_1896684278e_bool @t810 @t815) @t828) (tptp.hAPP_n1699378549t_bool @t810 (tptp.hAPP_f921600141ol_nat @t815 @t828))))) % 1.21/1.46 (assume @p883 (forall @t829 (= (tptp.hAPP_f654413245e_bool (tptp.cOMBB_141086128t_bool @t810 @t815) @t828) (tptp.hAPP_p61793385e_bool @t810 (tptp.hAPP_f1291551745_pname @t815 @t828))))) % 1.21/1.46 (assume @p884 (forall @t829 (= (tptp.hAPP_f1476298914l_bool (tptp.cOMBB_2095475776e_bool @t810 @t815) @t828) (tptp.hAPP_b589554111l_bool @t810 @t838)))) % 1.21/1.46 (assume @p885 (forall @t829 (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool @t810) @t815) @t828) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p886 (forall @t829 (= (tptp.hAPP_f759274231e_bool (tptp.cOMBB_598082538e_bool @t810 @t815) @t828) (tptp.hAPP_p61793385e_bool @t810 (tptp.hAPP_f1297739591_pname @t815 @t828))))) % 1.21/1.46 (assume @p887 (forall @t829 (= (tptp.hAPP_n1414589940l_bool (tptp.cOMBB_1823939024ol_nat @t810 @t815) @t828) (tptp.hAPP_f1631501043l_bool @t810 (tptp.hAPP_nat_fun_a_bool @t815 @t828))))) % 1.21/1.46 (assume @p888 (forall @t829 (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f2117159681l_bool (tptp.cOMBC_1880041174l_bool @t810) @t815) @t828) (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p889 (forall @t829 (= (tptp.hAPP_p1824510254l_bool (tptp.cOMBB_392435466_pname @t810 @t815) @t828) (tptp.hAPP_f1631501043l_bool @t810 (tptp.hAPP_p1534023578a_bool @t815 @t828))))) % 1.21/1.46 (assume @p890 (forall @t829 (= (tptp.hAPP_a1392362872l_bool (tptp.cOMBB_743407885bool_a @t810 @t815) @t828) (tptp.hAPP_f103356543l_bool @t810 (tptp.hAPP_a_fun_nat_bool @t815 @t828))))) % 1.21/1.46 (assume @p891 (forall @t829 (= (tptp.hAPP_a217006258l_bool (tptp.cOMBB_1137537805bool_a @t810 @t815) @t828) (tptp.hAPP_f434788991l_bool @t810 (tptp.hAPP_a93125764e_bool @t815 @t828))))) % 1.21/1.46 (assume @p892 (forall @t829 (= (tptp.hAPP_n215258509l_bool (tptp.cOMBB_2026977092ol_nat @t810 @t815) @t828) (tptp.hAPP_f103356543l_bool @t810 (tptp.hAPP_n1699378549t_bool @t815 @t828))))) % 1.21/1.46 (assume @p893 (forall @t829 (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_f1246832597l_bool (tptp.cOMBC_1245412066l_bool @t810) @t815) @t828) (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p894 (forall @t829 (= (tptp.hAPP_p130839763l_bool (tptp.cOMBB_928955006_pname @t810 @t815) @t828) (tptp.hAPP_f103356543l_bool @t810 (tptp.hAPP_p1499970991t_bool @t815 @t828))))) % 1.21/1.46 (assume @p895 (forall @t829 (= (tptp.hAPP_n850744903l_bool (tptp.cOMBB_2117322052ol_nat @t810 @t815) @t828) (tptp.hAPP_f434788991l_bool @t810 (tptp.hAPP_n1025906991e_bool @t815 @t828))))) % 1.21/1.46 (assume @p896 (forall @t829 (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f559147733l_bool (tptp.cOMBC_1988546018l_bool @t810) @t815) @t828) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p897 (forall @t829 (= (tptp.hAPP_p338031245l_bool (tptp.cOMBB_408569982_pname @t810 @t815) @t828) (tptp.hAPP_f434788991l_bool @t810 (tptp.hAPP_p61793385e_bool @t815 @t828))))) % 1.21/1.46 (assume @p898 (forall @t829 (= (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool (tptp.cOMBC_331553030l_bool @t810) @t815) @t828) (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p899 (forall @t829 (= (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool (tptp.cOMBC_595898202l_bool @t810) @t815) @t828) (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p900 (forall @t829 (= (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool @t810) @t815) @t828) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool @t810 @t828) @t815)))) % 1.21/1.46 (assume @p901 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname tptp.u))) % 1.21/1.46 (assume @p902 @t840) % 1.21/1.46 (assume @p903 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t842) @t841))) % 1.21/1.46 (assume @p904 (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a tptp.g) (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t841) @t842))) % 1.21/1.46 (assume @p905 @t843) % 1.21/1.46 (assume @p906 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t845 tptp.g)))) % 1.21/1.46 (assume @p907 (not @t846)) % 1.21/1.46 (assume @p908 true) % 1.21/1.46 (step @p909 :rule aci_norm :args ((= (or false @t131 @t442) @t847))) % 1.21/1.46 (step @p910 :rule refl :args (@t442)) % 1.21/1.46 (step @p911 :rule refl :args (@t131)) % 1.21/1.46 (step @p912 :rule evaluate :args ((not true))) % 1.21/1.46 (step @p913 :rule eq-refl :args (@t359)) % 1.21/1.46 (step @p914 :rule cong :premises (@p913) :args (@t848)) % 1.21/1.46 (step @p915 :rule trans :premises (@p914 @p912)) % 1.21/1.46 (step @p916 :rule nary_cong :premises (@p915 @p911 @p910) :args (@t849)) % 1.21/1.46 (step @p917 :rule trans :premises (@p916 @p909)) % 1.21/1.46 (step @p918 :rule cong :premises (@p917) :args ((forall @t850 @t849))) % 1.21/1.46 (step @p919 :rule quant-var-elim-eq :args ((= (forall @t853 @t852) @t849))) % 1.21/1.46 (step @p920 :rule aci_norm :args ((= @t854 @t852))) % 1.21/1.46 (step @p921 :rule cong :premises (@p920) :args (@t855)) % 1.21/1.46 (step @p922 :rule trans :premises (@p921 @p919)) % 1.21/1.46 (step @p923 :rule cong :premises (@p922) :args (@t856)) % 1.21/1.46 (step @p924 :rule quant-merge-prenex :args ((= @t856 @t857))) % 1.21/1.46 (step @p925 :rule symm :premises (@p924)) % 1.21/1.46 (step @p926 :rule quant_var_reordering :args ((= (forall @t345 @t854) @t857))) % 1.21/1.46 (step @p927 :rule trans :premises (@p926 @p925 @p923)) % 1.21/1.46 (step @p928 :rule trans :premises (@p927 @p918)) % 1.21/1.46 (step @p929 :rule aci_norm :args ((= (or @t851 (or @t131 @t357)) @t854))) % 1.21/1.46 (step @p930 :rule bool-impl-elim :args (@t130 @t357)) % 1.21/1.46 (step @p931 :rule refl :args (@t851)) % 1.21/1.46 (step @p932 :rule nary_cong :premises (@p931 @p930) :args ((or @t851 @t358))) % 1.21/1.46 (step @p933 :rule trans :premises (@p932 @p929)) % 1.21/1.46 (step @p934 :rule bool-impl-elim :args (@t360 @t358)) % 1.21/1.46 (step @p935 :rule trans :premises (@p934 @p933)) % 1.21/1.46 (step @p936 :rule cong :premises (@p935) :args (@t361)) % 1.21/1.46 (step @p937 :rule trans :premises (@p936 @p928)) % 1.21/1.46 (step @p938 :rule eq_resolve :premises (@p319 @p937)) % 1.21/1.46 (step @p939 :rule instantiate :premises (@p425) :args ((@list @t844 tptp.g @t839))) % 1.21/1.46 (step @p940 :rule cnf_equiv_pos2 :args (@t860)) % 1.21/1.46 (step @p941 :rule reordering :premises (@p940) :args ((or @t846 @t861 (not @t860)))) % 1.21/1.46 (step @p942 :rule chain_m_resolution :premises (@p941 @p907 @p939) :args (@t861 @t862 (@list @t846 @t860))) % 1.21/1.46 (step @p943 :rule cnf_and_neg :args (@t859)) % 1.21/1.46 (step @p944 :rule reordering :premises (@p943) :args ((or (not @t840) @t859 @t863))) % 1.21/1.46 (step @p945 :rule chain_m_resolution :premises (@p944 @p902 @p942) :args (@t863 @t864 (@list @t840 @t859))) % 1.21/1.46 (step @p946 :rule cnf_or_pos :args (@t866)) % 1.21/1.46 (step @p947 :rule reordering :premises (@p946) :args ((or @t865 @t858 @t867))) % 1.21/1.46 (step @p948 :rule chain_m_resolution :premises (@p947 @p905 @p945) :args (@t867 @t864 (@list @t843 @t858))) % 1.21/1.46 (assume-push @p955 @t868) % 1.21/1.46 (step @p950 :rule instantiate :premises (@p938) :args ((@list tptp.u tptp.mgt_call tptp.pn))) % 1.21/1.46 (step-pop @p956 :rule scope :premises (@p950)) % 1.21/1.46 (step @p951 :rule process_scope :premises (@p956) :args (@t866)) % 1.21/1.46 (step @p953 :rule implies_elim :premises (@p951)) % 1.21/1.46 (step @p954 false :rule chain_m_resolution :premises (@p953 @p948 @p938) :args (false @t862 (@list @t866 @t868))) % 1.21/1.46 ) % 1.21/1.46 % SZS output end Proof % 1.21/1.46 % cvc5 exiting %------------------------------------------------------------------------------