%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW473+1 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:05:02 AM UTC 2026 % Result : Theorem 0.35s 0.60s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW473+1 : TPTP v9.2.1. Released v5.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 17:06:45 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.39 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.60 % SZS status Theorem % 0.35/0.60 % SZS output start Proof % 0.35/0.60 ( % 0.35/0.60 (declare-sort $$unsorted 0) % 0.35/0.60 (declare-const tptp.na $$unsorted) % 0.35/0.60 (declare-const tptp.mgt_call $$unsorted) % 0.35/0.60 (declare-const tptp.hAPP_n1006566506l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.hAPP_a_fun_bool_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.fimplies $$unsorted) % 0.35/0.60 (declare-const tptp.cOMBB_bool_bool_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.fNot $$unsorted) % 0.35/0.60 (declare-const tptp.fequal_fun_a_bool $$unsorted) % 0.35/0.60 (declare-const tptp.cOMBC_1880041174l_bool (-> $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.cOMBC_1245412066l_bool (-> $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.cOMBC_a_a_bool (-> $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.cOMBC_1149511130e_bool (-> $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.fequal_pname $$unsorted) % 0.35/0.60 (declare-const tptp.fequal_nat $$unsorted) % 0.35/0.60 (declare-const tptp.hAPP_f800510211t_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.cOMBC_pname_a_bool (-> $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.fdisj $$unsorted) % 0.35/0.60 (declare-const tptp.minus_minus_nat (-> $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.cOMBS_nat_bool_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.cOMBB_2095475776e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.hAPP_n215258509l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.hAPP_f285962445l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.hAPP_f1253658590ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.hAPP_f98387925ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.cOMBC_nat_nat_bool (-> $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.hAPP_f1690079119ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.cOMBB_1015721476ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.hAPP_f2009550088ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.finite346522414t_bool $$unsorted) % 0.35/0.60 (declare-const tptp.hAPP_fun_a_bool_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.cOMBB_1972296269bool_a (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.finite_card_a $$unsorted) % 0.35/0.60 (declare-const tptp.hAPP_f22106695ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.cOMBB_338059395a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.finite_card_nat $$unsorted) % 0.35/0.60 (declare-const tptp.finite_card_pname $$unsorted) % 0.35/0.60 (declare-const tptp.insert_fun_nat_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.insert1457093509l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.insert1117693814l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.fconj $$unsorted) % 0.35/0.60 (declare-const tptp.insert2003652156l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_pname_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_2129980159t_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_1420695166l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_1642285373l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_1154884483l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_26036933t_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_a_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_496248727ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_1802975832ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_1079571347ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.hAPP_n1699378549t_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_2089570637ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.collec1015864663l_bool (-> $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.hAPP_f1772781669l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.cOMBC_595898202l_bool (-> $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.ord_le1454342156l_bool $$unsorted) % 0.35/0.60 (declare-const tptp.collec1613912337l_bool (-> $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.hAPP_f510955609l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.hAPP_f1748468828l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.cOMBB_444170502t_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.ord_le675606854l_bool $$unsorted) % 0.35/0.60 (declare-const tptp.cOMBB_238756964t_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.cOMBB_1897541054_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.hAPP_a_fun_a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.finite269641166l_bool $$unsorted) % 0.35/0.60 (declare-const tptp.image_a_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.insert_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.cOMBC_331553030l_bool (-> $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.hAPP_a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_1604018183_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_526090948bool_a (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.collect_nat (-> $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.finite1306199131a_bool $$unsorted) % 0.35/0.60 (declare-const tptp.undefi17486888e_bool (-> $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.hAPP_f760187903l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_349102846bool_a (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.hAPP_n1025906991e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_876012084bool_a (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.image_1854862208_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.collect_fun_nat_bool (-> $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.insert_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.member_pname $$unsorted) % 0.35/0.60 (declare-const tptp.hAPP_f1759205631l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.60 (declare-const tptp.finite_finite_nat $$unsorted) % 0.35/0.61 (declare-const tptp.image_1655916159e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.is_fun1661590463l_bool (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.hAPP_p338031245l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBC_226598744l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.image_nat_fun_a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.image_1208015684l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.image_47868345e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.member_fun_a_bool $$unsorted) % 0.35/0.61 (declare-const tptp.image_573985017bool_a (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBS_1187019125l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBC_7971162l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_a85458249l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.image_pname_a (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_a93125764e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f1363661463l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.member_a $$unsorted) % 0.35/0.61 (declare-const tptp.ord_le967226251l_bool $$unsorted) % 0.35/0.61 (declare-const tptp.image_a_a (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.insert_fun_a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.collec1974731493e_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f1637334154l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.insert1325755072e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.collec1635217238l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBS_350070575l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f556039215l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.image_1283814551_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.ord_le313189616e_bool $$unsorted) % 0.35/0.61 (declare-const tptp.cOMBS_1035972772l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.finite_finite_a $$unsorted) % 0.35/0.61 (declare-const tptp.hAPP_b589554111l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f921600141ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBS_a_bool_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.suc $$unsorted) % 0.35/0.61 (declare-const tptp.image_fun_a_bool_a (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBC_1693257480l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.undefined_fun_a_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.fequal533582459e_bool $$unsorted) % 0.35/0.61 (declare-const tptp.finite1701474069l_bool $$unsorted) % 0.35/0.61 (declare-const tptp.cOMBB_2140588453a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.is_fun949378684l_bool (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.hAPP_p393069232l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.image_990671762_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.is_fun_pname_bool (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.hAPP_f696928925ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.image_fun_a_bool_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.finite_finite_pname $$unsorted) % 0.35/0.61 (declare-const tptp.hAPP_f2050579477a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.image_112932426a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_pname_a (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.u $$unsorted) % 0.35/0.61 (declare-const tptp.collect_fun_a_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.ord_le65145710l_bool $$unsorted) % 0.35/0.61 (declare-const tptp.hAPP_f55526627ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.is_pname (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.hAPP_f1664156314l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.image_nat_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.cOMBB_307249310e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.collect_a (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.finite1491191519l_bool $$unsorted) % 0.35/0.61 (declare-const tptp.is_bool (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.finite1352710292l_bool $$unsorted) % 0.35/0.61 (declare-const tptp.hAPP_f292226953l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.image_fun_nat_bool_a (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBB_675860798_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.undefined_a (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f1246832597l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.finite347923420a_bool $$unsorted) % 0.35/0.61 (declare-const tptp.is_a (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.x_a $$unsorted) % 0.35/0.61 (declare-const tptp.hAPP_f1631501043l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBC_1732670874l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.fequal_fun_nat_bool $$unsorted) % 0.35/0.61 (declare-const tptp.image_1921560913_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.image_1551609309ol_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.pname $$unsorted) % 0.35/0.61 (declare-const tptp.finite1340463720e_bool $$unsorted) % 0.35/0.61 (declare-const tptp.undefined_pname (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.collect_pname (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.fun (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_pname_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f1476298914l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBB_647938656_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_p1534023578a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_p61793385e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.ord_less_eq_nat $$unsorted) % 0.35/0.61 (declare-const tptp.hAPP_bool_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.member_fun_nat_bool $$unsorted) % 0.35/0.61 (declare-const tptp.finite2012431853t_bool $$unsorted) % 0.35/0.61 (declare-const tptp.hAPP_nat_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBS_568398431l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_nat_fun_a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_fun_a_bool_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBC_1284144636l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.bool $$unsorted) % 0.35/0.61 (declare-const tptp.hAPP_f759274231e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBC_1988546018l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.finite719726885l_bool $$unsorted) % 0.35/0.61 (declare-const tptp.hAPP_f434788991l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.undefi1699038445l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f54304608l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.undefi64961550l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f621171935l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.insert_a (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.finite786885583l_bool $$unsorted) % 0.35/0.61 (declare-const tptp.hAPP_f2117159681l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.collec792590109l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f1935102916l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f559147733l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.finite1381704300l_bool $$unsorted) % 0.35/0.61 (declare-const tptp.hAPP_f389811538l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f937997336l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBC_1058051404l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f1434722111l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.image_1607900221l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f595608956l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.finite1659325229l_bool $$unsorted) % 0.35/0.61 (declare-const tptp.image_pname_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f1295398978l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.image_1874789623l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.g $$unsorted) % 0.35/0.61 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.pn $$unsorted) % 0.35/0.61 (declare-const tptp.image_nat_a (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.ord_le1311769555a_bool $$unsorted) % 0.35/0.61 (declare-const tptp.hAPP_f1951378235l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.is_fun_a_bool (-> $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.ord_le1568362934t_bool $$unsorted) % 0.35/0.61 (declare-const tptp.hAPP_nat_nat (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBB_bool_bool_a (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f103356543l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBC_1355376034l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.member799430823e_bool $$unsorted) % 0.35/0.61 (declare-const tptp.finite595471783e_bool $$unsorted) % 0.35/0.61 (declare-const tptp.image_1705983821_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBC_1269652216l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.member_nat $$unsorted) % 0.35/0.61 (declare-const tptp.collec1874991203l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.ord_le1375671464l_bool $$unsorted) % 0.35/0.61 (declare-const tptp.cOMBC_336095980l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f198738859l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.cOMBC_636888218l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.hAPP_f1050622307l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.finite1343359508l_bool $$unsorted) % 0.35/0.61 (declare-const tptp.ord_le1375614389l_bool $$unsorted) % 0.35/0.61 (declare-const tptp.fequal_a $$unsorted) % 0.35/0.61 (declare-const tptp.collec707592106l_bool (-> $$unsorted $$unsorted)) % 0.35/0.61 (define @t1 () (@var "B_2" $$unsorted)) % 0.35/0.61 (define @t2 () (@var "B_1_1" $$unsorted)) % 0.35/0.61 (define @t3 () (tptp.is_fun_a_bool @t1)) % 0.35/0.61 (define @t4 () (@list @t2 @t1)) % 0.35/0.61 (define @t5 () (tptp.is_fun_pname_bool @t1)) % 0.35/0.61 (define @t6 () (tptp.is_fun949378684l_bool @t1)) % 0.35/0.61 (define @t7 () (tptp.is_fun1661590463l_bool @t1)) % 0.35/0.61 (define @t8 () (tptp.fun tptp.x_a tptp.bool)) % 0.35/0.61 (define @t9 () (tptp.fun tptp.pname tptp.bool)) % 0.35/0.61 (define @t10 () (tptp.is_fun_a_bool @t2)) % 0.35/0.61 (define @t11 () (@list @t2)) % 0.35/0.61 (define @t12 () (tptp.is_fun_pname_bool @t2)) % 0.35/0.61 (define @t13 () (tptp.is_fun949378684l_bool @t2)) % 0.35/0.61 (define @t14 () (tptp.is_fun1661590463l_bool @t2)) % 0.35/0.61 (define @t15 () (tptp.is_a @t1)) % 0.35/0.61 (define @t16 () (tptp.is_pname @t1)) % 0.35/0.61 (define @t17 () (@var "Ts" $$unsorted)) % 0.35/0.61 (define @t18 () (@var "G" $$unsorted)) % 0.35/0.61 (define @t19 () (@var "A" $$unsorted)) % 0.35/0.61 (define @t20 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t19))) % 0.35/0.61 (define @t21 () (@list @t19)) % 0.35/0.61 (define @t22 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t19))) % 0.35/0.61 (define @t23 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t19))) % 0.35/0.61 (define @t24 () (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool @t19))) % 0.35/0.61 (define @t25 () (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool @t19))) % 0.35/0.61 (define @t26 () (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool @t19))) % 0.35/0.61 (define @t27 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t19))) % 0.35/0.61 (define @t28 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t19))) % 0.35/0.61 (define @t29 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t19))) % 0.35/0.61 (define @t30 () (@var "F_1" $$unsorted)) % 0.35/0.61 (define @t31 () (@var "H" $$unsorted)) % 0.35/0.61 (define @t32 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t30))) % 0.35/0.61 (define @t33 () (@list @t31 @t30)) % 0.35/0.61 (define @t34 () (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool @t30))) % 0.35/0.61 (define @t35 () (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool @t30))) % 0.35/0.61 (define @t36 () (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool @t30))) % 0.35/0.61 (define @t37 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t30))) % 0.35/0.61 (define @t38 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t30))) % 0.35/0.61 (define @t39 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t30))) % 0.35/0.61 (define @t40 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t30))) % 0.35/0.61 (define @t41 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t30))) % 0.35/0.61 (define @t42 () (@var "A_1" $$unsorted)) % 0.35/0.61 (define @t43 () (tptp.insert_a @t42 @t19)) % 0.35/0.61 (define @t44 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t43))) % 0.35/0.61 (define @t45 () (@list @t42 @t19)) % 0.35/0.61 (define @t46 () (tptp.insert_nat @t42 @t19)) % 0.35/0.61 (define @t47 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t46))) % 0.35/0.61 (define @t48 () (tptp.insert_pname @t42 @t19)) % 0.35/0.61 (define @t49 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t48))) % 0.35/0.61 (define @t50 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.insert_fun_a_bool @t42 @t19)))) % 0.35/0.61 (define @t51 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.insert1325755072e_bool @t42 @t19)))) % 0.35/0.61 (define @t52 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.insert_fun_nat_bool @t42 @t19)))) % 0.35/0.61 (define @t53 () (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t19)) % 0.35/0.61 (define @t54 () (@var "F" $$unsorted)) % 0.35/0.61 (define @t55 () (@list @t54 @t19)) % 0.35/0.61 (define @t56 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t19)) % 0.35/0.61 (define @t57 () (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool @t19)) % 0.35/0.61 (define @t58 () (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool @t19)) % 0.35/0.61 (define @t59 () (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool @t19)) % 0.35/0.61 (define @t60 () (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t19)) % 0.35/0.61 (define @t61 () (tptp.image_pname_a @t54 @t19)) % 0.35/0.61 (define @t62 () (@var "B" $$unsorted)) % 0.35/0.61 (define @t63 () (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool @t62)) % 0.35/0.61 (define @t64 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t57)) % 0.35/0.61 (define @t65 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool tptp.ord_le1454342156l_bool @t19) @t62))) % 0.35/0.61 (define @t66 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t62))) % 0.35/0.61 (define @t67 () (@list @t19 @t62)) % 0.35/0.61 (define @t68 () (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool @t62)) % 0.35/0.61 (define @t69 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t58)) % 0.35/0.61 (define @t70 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool @t19) @t62))) % 0.35/0.61 (define @t71 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t62))) % 0.35/0.61 (define @t72 () (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool @t62)) % 0.35/0.61 (define @t73 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t59)) % 0.35/0.61 (define @t74 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool tptp.ord_le1375614389l_bool @t19) @t62))) % 0.35/0.61 (define @t75 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t62))) % 0.35/0.61 (define @t76 () (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t62)) % 0.35/0.61 (define @t77 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t53)) % 0.35/0.61 (define @t78 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t19)) % 0.35/0.61 (define @t79 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t78 @t62))) % 0.35/0.61 (define @t80 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t62))) % 0.35/0.61 (define @t81 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t62)) % 0.35/0.61 (define @t82 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t56)) % 0.35/0.61 (define @t83 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t19)) % 0.35/0.61 (define @t84 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t83 @t62))) % 0.35/0.61 (define @t85 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t62))) % 0.35/0.61 (define @t86 () (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t62)) % 0.35/0.61 (define @t87 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t60)) % 0.35/0.61 (define @t88 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t19)) % 0.35/0.61 (define @t89 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t88 @t62))) % 0.35/0.61 (define @t90 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t62))) % 0.35/0.61 (define @t91 () (= @t19 @t62)) % 0.35/0.61 (define @t92 () (tptp.is_fun_pname_bool @t62)) % 0.35/0.61 (define @t93 () (tptp.is_fun_pname_bool @t19)) % 0.35/0.61 (define @t94 () (and @t93 @t92)) % 0.35/0.61 (define @t95 () (tptp.is_fun_a_bool @t62)) % 0.35/0.61 (define @t96 () (tptp.is_fun_a_bool @t19)) % 0.35/0.61 (define @t97 () (and @t96 @t95)) % 0.35/0.61 (define @t98 () (@var "X_2" $$unsorted)) % 0.35/0.61 (define @t99 () (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.insert_fun_nat_bool @t98 @t19))) % 0.35/0.61 (define @t100 () (@list @t98 @t19)) % 0.35/0.61 (define @t101 () (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.insert1325755072e_bool @t98 @t19))) % 0.35/0.61 (define @t102 () (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.insert_fun_a_bool @t98 @t19))) % 0.35/0.61 (define @t103 () (tptp.insert_pname @t98 @t19)) % 0.35/0.61 (define @t104 () (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname @t103)) % 0.35/0.61 (define @t105 () (tptp.insert_nat @t98 @t19)) % 0.35/0.61 (define @t106 () (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat @t105)) % 0.35/0.61 (define @t107 () (tptp.insert_a @t98 @t19)) % 0.35/0.61 (define @t108 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t107)) % 0.35/0.61 (define @t109 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool tptp.member_fun_nat_bool @t98) @t19))) % 0.35/0.61 (define @t110 () (=> (not @t109) (= @t99 (tptp.hAPP_nat_nat tptp.suc @t57)))) % 0.35/0.61 (define @t111 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool @t98) @t19))) % 0.35/0.61 (define @t112 () (=> (not @t111) (= @t101 (tptp.hAPP_nat_nat tptp.suc @t58)))) % 0.35/0.61 (define @t113 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool tptp.member_fun_a_bool @t98) @t19))) % 0.35/0.61 (define @t114 () (=> (not @t113) (= @t102 (tptp.hAPP_nat_nat tptp.suc @t59)))) % 0.35/0.61 (define @t115 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t98)) % 0.35/0.61 (define @t116 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t115 @t19))) % 0.35/0.61 (define @t117 () (not @t116)) % 0.35/0.61 (define @t118 () (=> @t117 (= @t106 (tptp.hAPP_nat_nat tptp.suc @t60)))) % 0.35/0.61 (define @t119 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t98)) % 0.35/0.61 (define @t120 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t119 @t19))) % 0.35/0.61 (define @t121 () (not @t120)) % 0.35/0.61 (define @t122 () (=> @t121 (= @t104 (tptp.hAPP_nat_nat tptp.suc @t53)))) % 0.35/0.61 (define @t123 () (tptp.hAPP_a85458249l_bool tptp.member_a @t98)) % 0.35/0.61 (define @t124 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t123 @t19))) % 0.35/0.61 (define @t125 () (not @t124)) % 0.35/0.61 (define @t126 () (=> @t125 (= @t108 (tptp.hAPP_nat_nat tptp.suc @t56)))) % 0.35/0.61 (define @t127 () (@var "Q_1" $$unsorted)) % 0.35/0.61 (define @t128 () (@var "Pa" $$unsorted)) % 0.35/0.61 (define @t129 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool @t127)))) % 0.35/0.61 (define @t130 () (tptp.collect_fun_nat_bool @t128)) % 0.35/0.61 (define @t131 () (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool @t130))) % 0.35/0.61 (define @t132 () (@list @t127 @t128)) % 0.35/0.61 (define @t133 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool @t127)))) % 0.35/0.61 (define @t134 () (tptp.collec1974731493e_bool @t128)) % 0.35/0.61 (define @t135 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t134))) % 0.35/0.61 (define @t136 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool @t127)))) % 0.35/0.61 (define @t137 () (tptp.collect_fun_a_bool @t128)) % 0.35/0.61 (define @t138 () (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool @t137))) % 0.35/0.61 (define @t139 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.collect_a @t127)))) % 0.35/0.61 (define @t140 () (tptp.collect_a @t128)) % 0.35/0.61 (define @t141 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t140))) % 0.35/0.61 (define @t142 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname @t127)))) % 0.35/0.61 (define @t143 () (tptp.collect_pname @t128)) % 0.35/0.61 (define @t144 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t143))) % 0.35/0.61 (define @t145 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat @t127)))) % 0.35/0.61 (define @t146 () (tptp.collect_nat @t128)) % 0.35/0.61 (define @t147 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t146))) % 0.35/0.61 (define @t148 () (@var "N_1" $$unsorted)) % 0.35/0.61 (define @t149 () (@var "M_2" $$unsorted)) % 0.35/0.61 (define @t150 () (tptp.minus_minus_nat @t149)) % 0.35/0.61 (define @t151 () (tptp.hAPP_nat_nat @t150 @t148)) % 0.35/0.61 (define @t152 () (tptp.hAPP_nat_nat tptp.suc @t149)) % 0.35/0.61 (define @t153 () (tptp.minus_minus_nat @t152)) % 0.35/0.61 (define @t154 () (tptp.hAPP_nat_nat @t153 @t148)) % 0.35/0.61 (define @t155 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t148)) % 0.35/0.61 (define @t156 () (tptp.hBOOL (tptp.hAPP_nat_bool @t155 @t149))) % 0.35/0.61 (define @t157 () (@var "K" $$unsorted)) % 0.35/0.61 (define @t158 () (tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat)) % 0.35/0.61 (define @t159 () (@var "Na" $$unsorted)) % 0.35/0.61 (define @t160 () (tptp.hAPP_nat_nat tptp.suc @t159)) % 0.35/0.61 (define @t161 () (@var "Y" $$unsorted)) % 0.35/0.61 (define @t162 () (@var "X" $$unsorted)) % 0.35/0.61 (define @t163 () (= @t162 @t161)) % 0.35/0.61 (define @t164 () (@list @t162 @t161)) % 0.35/0.61 (define @t165 () (@var "Nat" $$unsorted)) % 0.35/0.61 (define @t166 () (@var "Nat_1" $$unsorted)) % 0.35/0.61 (define @t167 () (tptp.hAPP_nat_nat tptp.suc @t148)) % 0.35/0.61 (define @t168 () (@list @t148)) % 0.35/0.61 (define @t169 () (= @t149 @t148)) % 0.35/0.61 (define @t170 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t149)) % 0.35/0.61 (define @t171 () (tptp.hBOOL (tptp.hAPP_nat_bool @t170 @t148))) % 0.35/0.61 (define @t172 () (@list @t149 @t148)) % 0.35/0.61 (define @t173 () (@var "K_1" $$unsorted)) % 0.35/0.61 (define @t174 () (@var "I_1" $$unsorted)) % 0.35/0.61 (define @t175 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t174)) % 0.35/0.61 (define @t176 () (@var "J" $$unsorted)) % 0.35/0.61 (define @t177 () (tptp.minus_minus_nat @t174)) % 0.35/0.61 (define @t178 () (@list @t128 @t127)) % 0.35/0.61 (define @t179 () (tptp.hBOOL (tptp.hAPP_nat_bool @t170 @t167))) % 0.35/0.61 (define @t180 () (@var "M_3" $$unsorted)) % 0.35/0.61 (define @t181 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t159)) % 0.35/0.61 (define @t182 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t160)) % 0.35/0.61 (define @t183 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t180)) % 0.35/0.61 (define @t184 () (tptp.hBOOL (tptp.hAPP_nat_bool @t183 @t159))) % 0.35/0.61 (define @t185 () (@list @t180 @t159)) % 0.35/0.61 (define @t186 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t167)) % 0.35/0.61 (define @t187 () (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t159) @t157)) % 0.35/0.61 (define @t188 () (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t180) @t157)) % 0.35/0.61 (define @t189 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t157)) % 0.35/0.61 (define @t190 () (tptp.hBOOL (tptp.hAPP_nat_bool @t189 @t159))) % 0.35/0.61 (define @t191 () (tptp.hBOOL (tptp.hAPP_nat_bool @t189 @t180))) % 0.35/0.61 (define @t192 () (@list @t159 @t157 @t180)) % 0.35/0.61 (define @t193 () (tptp.minus_minus_nat @t148)) % 0.35/0.61 (define @t194 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t173)) % 0.35/0.61 (define @t195 () (@var "L" $$unsorted)) % 0.35/0.61 (define @t196 () (@list @t195 @t149 @t148)) % 0.35/0.61 (define @t197 () (tptp.minus_minus_nat @t195)) % 0.35/0.61 (define @t198 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t62)) % 0.35/0.61 (define @t199 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t198 @t61))) % 0.35/0.61 (define @t200 () (@list @t62 @t54 @t19)) % 0.35/0.61 (define @t201 () (@var "C_2" $$unsorted)) % 0.35/0.61 (define @t202 () (@list @t54 @t19 @t62)) % 0.35/0.61 (define @t203 () (@var "N_3" $$unsorted)) % 0.35/0.61 (define @t204 () (tptp.hBOOL (tptp.hAPP_nat_bool @t181 @t203))) % 0.35/0.61 (define @t205 () (@var "N_2" $$unsorted)) % 0.35/0.61 (define @t206 () (tptp.hAPP_nat_nat tptp.suc @t205)) % 0.35/0.61 (define @t207 () (@list @t205)) % 0.35/0.61 (define @t208 () (@list @t159 @t203 @t54)) % 0.35/0.61 (define @t209 () (@var "X_1" $$unsorted)) % 0.35/0.61 (define @t210 () (tptp.hAPP_pname_a @t54 @t209)) % 0.35/0.61 (define @t211 () (tptp.cOMBC_1058051404l_bool tptp.member_pname)) % 0.35/0.61 (define @t212 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t209)) % 0.35/0.61 (define @t213 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t212 @t19))) % 0.35/0.61 (define @t214 () (tptp.is_pname @t209)) % 0.35/0.61 (define @t215 () (@list @t209)) % 0.35/0.61 (define @t216 () (@var "B_1" $$unsorted)) % 0.35/0.61 (define @t217 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t216) @t61))) % 0.35/0.61 (define @t218 () (=> @t120 @t217)) % 0.35/0.61 (define @t219 () (tptp.hAPP_pname_a @t54 @t98)) % 0.35/0.61 (define @t220 () (= @t216 @t219)) % 0.35/0.61 (define @t221 () (@list @t19 @t216 @t54 @t98)) % 0.35/0.61 (define @t222 () (forall @t221 (=> @t220 @t218))) % 0.35/0.61 (define @t223 () (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t62)) % 0.35/0.61 (define @t224 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t223 @t19))) % 0.35/0.61 (define @t225 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t62)) % 0.35/0.61 (define @t226 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t225 @t19))) % 0.35/0.61 (define @t227 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t198 @t19))) % 0.35/0.61 (define @t228 () (@var "C_1" $$unsorted)) % 0.35/0.61 (define @t229 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t228)) % 0.35/0.61 (define @t230 () (@list @t228 @t19 @t62)) % 0.35/0.61 (define @t231 () (tptp.hAPP_a85458249l_bool tptp.member_a @t228)) % 0.35/0.61 (define @t232 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t228)) % 0.35/0.61 (define @t233 () (tptp.insert_nat @t216 @t62)) % 0.35/0.61 (define @t234 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t42)) % 0.35/0.61 (define @t235 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t234 @t233))) % 0.35/0.61 (define @t236 () (= @t42 @t216)) % 0.35/0.61 (define @t237 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t234 @t62))) % 0.35/0.61 (define @t238 () (@list @t216 @t42 @t62)) % 0.35/0.61 (define @t239 () (tptp.insert_pname @t216 @t62)) % 0.35/0.61 (define @t240 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t42)) % 0.35/0.61 (define @t241 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t240 @t239))) % 0.35/0.61 (define @t242 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t240 @t62))) % 0.35/0.61 (define @t243 () (tptp.insert_a @t216 @t62)) % 0.35/0.61 (define @t244 () (tptp.hAPP_a85458249l_bool tptp.member_a @t42)) % 0.35/0.61 (define @t245 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t244 @t243))) % 0.35/0.61 (define @t246 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t244 @t62))) % 0.35/0.61 (define @t247 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t234 @t19))) % 0.35/0.61 (define @t248 () (not @t236)) % 0.35/0.61 (define @t249 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t234 (tptp.insert_nat @t216 @t19)))) % 0.35/0.61 (define @t250 () (@list @t42 @t216 @t19)) % 0.35/0.61 (define @t251 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t240 @t19))) % 0.35/0.61 (define @t252 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t240 (tptp.insert_pname @t216 @t19)))) % 0.35/0.61 (define @t253 () (and (tptp.is_pname @t42) (tptp.is_pname @t216))) % 0.35/0.61 (define @t254 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t244 @t19))) % 0.35/0.61 (define @t255 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t244 (tptp.insert_a @t216 @t19)))) % 0.35/0.61 (define @t256 () (tptp.is_a @t216)) % 0.35/0.61 (define @t257 () (and (tptp.is_a @t42) @t256)) % 0.35/0.61 (define @t258 () (tptp.insert_nat @t42 @t62)) % 0.35/0.61 (define @t259 () (@list @t42 @t62)) % 0.35/0.61 (define @t260 () (tptp.insert_pname @t42 @t62)) % 0.35/0.61 (define @t261 () (tptp.insert_a @t42 @t62)) % 0.35/0.61 (define @t262 () (tptp.cOMBC_226598744l_bool tptp.member_nat)) % 0.35/0.61 (define @t263 () (tptp.cOMBC_nat_nat_bool tptp.fequal_nat)) % 0.35/0.61 (define @t264 () (tptp.hAPP_n1699378549t_bool @t263 @t42)) % 0.35/0.61 (define @t265 () (tptp.cOMBC_1149511130e_bool tptp.fequal_pname)) % 0.35/0.61 (define @t266 () (tptp.hAPP_p61793385e_bool @t265 @t42)) % 0.35/0.61 (define @t267 () (tptp.cOMBC_1355376034l_bool tptp.member_a)) % 0.35/0.61 (define @t268 () (tptp.cOMBC_a_a_bool tptp.fequal_a)) % 0.35/0.61 (define @t269 () (tptp.hAPP_a_fun_a_bool @t268 @t42)) % 0.35/0.61 (define @t270 () (tptp.cOMBC_1245412066l_bool tptp.member_fun_nat_bool)) % 0.35/0.61 (define @t271 () (tptp.cOMBC_1693257480l_bool tptp.fequal_fun_nat_bool)) % 0.35/0.61 (define @t272 () (tptp.hAPP_f103356543l_bool @t271 @t42)) % 0.35/0.61 (define @t273 () (tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool)) % 0.35/0.61 (define @t274 () (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool)) % 0.35/0.61 (define @t275 () (tptp.hAPP_f434788991l_bool @t274 @t42)) % 0.35/0.61 (define @t276 () (tptp.cOMBC_1880041174l_bool tptp.member_fun_a_bool)) % 0.35/0.61 (define @t277 () (tptp.cOMBC_1732670874l_bool tptp.fequal_fun_a_bool)) % 0.35/0.61 (define @t278 () (tptp.hAPP_f1631501043l_bool @t277 @t42)) % 0.35/0.61 (define @t279 () (@list @t42 @t128)) % 0.35/0.61 (define @t280 () (@var "Y_1" $$unsorted)) % 0.35/0.61 (define @t281 () (tptp.insert_nat @t280 @t19)) % 0.35/0.61 (define @t282 () (@list @t98 @t280 @t19)) % 0.35/0.61 (define @t283 () (tptp.insert_pname @t280 @t19)) % 0.35/0.61 (define @t284 () (tptp.insert_a @t280 @t19)) % 0.35/0.61 (define @t285 () (tptp.hBOOL (tptp.hAPP_nat_bool @t19 @t98))) % 0.35/0.61 (define @t286 () (= @t280 @t98)) % 0.35/0.61 (define @t287 () (@list @t280 @t19 @t98)) % 0.35/0.61 (define @t288 () (tptp.hBOOL (tptp.hAPP_pname_bool @t19 @t98))) % 0.35/0.61 (define @t289 () (tptp.hBOOL (tptp.hAPP_a_bool @t19 @t98))) % 0.35/0.61 (define @t290 () (tptp.insert_nat @t98 @t62)) % 0.35/0.61 (define @t291 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t115 @t62))) % 0.35/0.61 (define @t292 () (@list @t62 @t98 @t19)) % 0.35/0.61 (define @t293 () (tptp.insert_pname @t98 @t62)) % 0.35/0.61 (define @t294 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t119 @t62))) % 0.35/0.61 (define @t295 () (tptp.insert_a @t98 @t62)) % 0.35/0.61 (define @t296 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t123 @t62))) % 0.35/0.61 (define @t297 () (@list @t98 @t19 @t62)) % 0.35/0.61 (define @t298 () (@var "C" $$unsorted)) % 0.35/0.61 (define @t299 () (@list @t298 @t19 @t62)) % 0.35/0.61 (define @t300 () (@list @t128)) % 0.35/0.61 (define @t301 () (@var "Z" $$unsorted)) % 0.35/0.61 (define @t302 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t219) @t61))) % 0.35/0.61 (define @t303 () (@list @t54 @t98 @t19)) % 0.35/0.61 (define @t304 () (@var "Xa" $$unsorted)) % 0.35/0.61 (define @t305 () (@list @t209 @t304)) % 0.35/0.61 (define @t306 () (@list @t62 @t42)) % 0.35/0.61 (define @t307 () (@list @t216 @t19 @t62)) % 0.35/0.61 (define @t308 () (@var "D" $$unsorted)) % 0.35/0.61 (define @t309 () (@list @t42 @t298 @t308)) % 0.35/0.61 (define @t310 () (tptp.image_pname_a @t54 @t62)) % 0.35/0.61 (define @t311 () (@var "AA" $$unsorted)) % 0.35/0.61 (define @t312 () (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t61)) % 0.35/0.61 (define @t313 () (tptp.hAPP_n215258509l_bool tptp.member_nat @t209)) % 0.35/0.61 (define @t314 () (@list @t62 @t19)) % 0.35/0.61 (define @t315 () (tptp.hAPP_a85458249l_bool tptp.member_a @t209)) % 0.35/0.61 (define @t316 () (@var "I" $$unsorted)) % 0.35/0.61 (define @t317 () (@var "M" $$unsorted)) % 0.35/0.61 (define @t318 () (@var "M_1" $$unsorted)) % 0.35/0.61 (define @t319 () (@list @t317)) % 0.35/0.61 (define @t320 () (@list @t98)) % 0.35/0.61 (define @t321 () (@var "X_3" $$unsorted)) % 0.35/0.61 (define @t322 () (@var "N" $$unsorted)) % 0.35/0.61 (define @t323 () (@var "P" $$unsorted)) % 0.35/0.61 (define @t324 () (tptp.hBOOL @t323)) % 0.35/0.61 (define @t325 () (not @t324)) % 0.35/0.61 (define @t326 () (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot @t323))) % 0.35/0.61 (define @t327 () (@list @t323)) % 0.35/0.61 (define @t328 () (@var "Q" $$unsorted)) % 0.35/0.61 (define @t329 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj @t323) @t328))) % 0.35/0.61 (define @t330 () (tptp.hBOOL @t328)) % 0.35/0.61 (define @t331 () (not @t330)) % 0.35/0.61 (define @t332 () (@list @t328 @t323)) % 0.35/0.61 (define @t333 () (not @t329)) % 0.35/0.61 (define @t334 () (@list @t323 @t328)) % 0.35/0.61 (define @t335 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj @t323) @t328))) % 0.35/0.61 (define @t336 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies @t323) @t328))) % 0.35/0.61 (define @t337 () (tptp.hBOOL (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool tptp.fequal_a @t162) @t161))) % 0.35/0.61 (define @t338 () (not @t163)) % 0.35/0.61 (define @t339 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat @t162) @t161))) % 0.35/0.61 (define @t340 () (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool tptp.fequal_pname @t162) @t161))) % 0.35/0.61 (define @t341 () (@var "R" $$unsorted)) % 0.35/0.61 (define @t342 () (@list @t323 @t328 @t341)) % 0.35/0.61 (define @t343 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.fequal_fun_a_bool @t162) @t161))) % 0.35/0.61 (define @t344 () (tptp.hAPP_a_bool @t328 @t341)) % 0.35/0.61 (define @t345 () (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.fequal_fun_nat_bool @t162) @t161))) % 0.35/0.61 (define @t346 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool @t162) @t161))) % 0.35/0.61 (define @t347 () (tptp.hAPP_nat_bool @t328 @t341)) % 0.35/0.61 (define @t348 () (tptp.hAPP_pname_bool @t328 @t341)) % 0.35/0.61 (define @t349 () (tptp.hAPP_fun_a_bool_bool @t328 @t341)) % 0.35/0.61 (define @t350 () (tptp.hAPP_f54304608l_bool @t328 @t341)) % 0.35/0.61 (define @t351 () (tptp.hAPP_f1664156314l_bool @t328 @t341)) % 0.35/0.61 (define @t352 () (tptp.image_pname_a tptp.mgt_call tptp.u)) % 0.35/0.61 (define @t353 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool tptp.g) @t352))) % 0.35/0.61 (define @t354 () (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a @t352)) % 0.35/0.61 (define @t355 () (tptp.hAPP_nat_nat tptp.suc tptp.na)) % 0.35/0.61 (define @t356 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool tptp.member_pname tptp.pn) tptp.u))) % 0.35/0.61 (define @t357 () (tptp.hAPP_pname_a tptp.mgt_call tptp.pn)) % 0.35/0.61 (define @t358 () (tptp.hAPP_a85458249l_bool tptp.member_a @t357)) % 0.35/0.61 (define @t359 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a @t357 tptp.g)) @t352))) % 0.35/0.61 (define @t360 () (or @t121 @t302)) % 0.35/0.61 (define @t361 () (not (= @t219 @t219))) % 0.35/0.61 (define @t362 () (or @t361 @t121 @t302)) % 0.35/0.61 (define @t363 () (@list @t19 @t54 @t98)) % 0.35/0.61 (define @t364 () (not @t220)) % 0.35/0.61 (define @t365 () (or @t364 @t364 @t121 @t217)) % 0.35/0.61 (define @t366 () (@list @t216)) % 0.35/0.61 (define @t367 () (or @t364 @t121 @t217)) % 0.35/0.61 (define @t368 () (forall @t366 @t367)) % 0.35/0.61 (define @t369 () (forall @t363 @t368)) % 0.35/0.61 (define @t370 () (forall (@list @t19 @t54 @t98 @t216) @t367)) % 0.35/0.61 (define @t371 () (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t358 @t352))) % 0.35/0.61 (define @t372 () (and @t371 @t353)) % 0.35/0.61 (define @t373 () (= @t359 @t372)) % 0.35/0.61 (define @t374 () (not @t372)) % 0.35/0.61 (define @t375 () (@list true false)) % 0.35/0.61 (define @t376 () (not @t371)) % 0.35/0.61 (define @t377 () (@list false true)) % 0.35/0.61 (define @t378 () (not @t356)) % 0.35/0.61 (define @t379 () (or @t378 @t371)) % 0.35/0.61 (define @t380 () (not @t379)) % 0.35/0.61 (define @t381 () (forall @t363 @t360)) % 0.35/0.61 (assume @p1 (forall @t4 (=> @t3 (tptp.is_fun_a_bool (tptp.cOMBB_bool_bool_a @t2 @t1))))) % 0.35/0.61 (assume @p2 (forall @t4 (=> @t5 (tptp.is_fun_pname_bool (tptp.cOMBB_647938656_pname @t2 @t1))))) % 0.35/0.61 (assume @p3 (forall @t4 (=> @t6 (tptp.is_fun949378684l_bool (tptp.cOMBB_2140588453a_bool @t2 @t1))))) % 0.35/0.61 (assume @p4 (forall @t4 (=> @t7 (tptp.is_fun1661590463l_bool (tptp.cOMBB_307249310e_bool @t2 @t1))))) % 0.35/0.61 (assume @p5 (forall @t4 (=> @t3 (tptp.is_fun_a_bool (tptp.cOMBS_a_bool_bool @t2 @t1))))) % 0.35/0.61 (assume @p6 (forall @t4 (=> @t5 (tptp.is_fun_pname_bool (tptp.cOMBS_568398431l_bool @t2 @t1))))) % 0.35/0.61 (assume @p7 (forall @t4 (=> @t6 (tptp.is_fun949378684l_bool (tptp.cOMBS_1035972772l_bool @t2 @t1))))) % 0.35/0.61 (assume @p8 (forall @t4 (=> @t7 (tptp.is_fun1661590463l_bool (tptp.cOMBS_350070575l_bool @t2 @t1))))) % 0.35/0.61 (assume @p9 (tptp.is_fun949378684l_bool tptp.finite_finite_a)) % 0.35/0.61 (assume @p10 (tptp.is_fun1661590463l_bool tptp.finite_finite_pname)) % 0.35/0.61 (assume @p11 (tptp.is_a (tptp.undefined_a tptp.x_a))) % 0.35/0.61 (assume @p12 (tptp.is_pname (tptp.undefined_pname tptp.pname))) % 0.35/0.61 (assume @p13 (tptp.is_fun_a_bool (tptp.undefined_fun_a_bool @t8))) % 0.35/0.61 (assume @p14 (tptp.is_fun_pname_bool (tptp.undefi17486888e_bool @t9))) % 0.35/0.61 (assume @p15 (tptp.is_fun949378684l_bool (tptp.undefi1699038445l_bool (tptp.fun @t8 tptp.bool)))) % 0.35/0.61 (assume @p16 (tptp.is_fun1661590463l_bool (tptp.undefi64961550l_bool (tptp.fun @t9 tptp.bool)))) % 0.35/0.61 (assume @p17 (forall @t11 (=> @t10 (tptp.is_fun_a_bool (tptp.collect_a @t2))))) % 0.35/0.61 (assume @p18 (forall @t11 (=> @t12 (tptp.is_fun_pname_bool (tptp.collect_pname @t2))))) % 0.35/0.61 (assume @p19 (forall @t11 (=> @t13 (tptp.is_fun949378684l_bool (tptp.collect_fun_a_bool @t2))))) % 0.35/0.61 (assume @p20 (forall @t11 (=> @t14 (tptp.is_fun1661590463l_bool (tptp.collec1974731493e_bool @t2))))) % 0.35/0.61 (assume @p21 (forall @t4 (=> @t3 (tptp.is_fun_a_bool (tptp.image_a_a @t2 @t1))))) % 0.35/0.61 (assume @p22 (forall @t4 (=> @t3 (tptp.is_fun_pname_bool (tptp.image_a_pname @t2 @t1))))) % 0.35/0.61 (assume @p23 (forall @t4 (=> @t5 (tptp.is_fun_a_bool (tptp.image_pname_a @t2 @t1))))) % 0.35/0.61 (assume @p24 (forall @t4 (=> @t5 (tptp.is_fun_pname_bool (tptp.image_pname_pname @t2 @t1))))) % 0.35/0.61 (assume @p25 (forall @t4 (=> @t5 (tptp.is_fun949378684l_bool (tptp.image_112932426a_bool @t2 @t1))))) % 0.35/0.61 (assume @p26 (forall @t4 (=> @t5 (tptp.is_fun1661590463l_bool (tptp.image_47868345e_bool @t2 @t1))))) % 0.35/0.61 (assume @p27 (forall @t4 (tptp.is_fun_a_bool (tptp.image_nat_a @t2 @t1)))) % 0.35/0.61 (assume @p28 (forall @t4 (tptp.is_fun_pname_bool (tptp.image_nat_pname @t2 @t1)))) % 0.35/0.61 (assume @p29 (forall @t4 (tptp.is_fun949378684l_bool (tptp.image_nat_fun_a_bool @t2 @t1)))) % 0.35/0.61 (assume @p30 (forall @t4 (tptp.is_fun1661590463l_bool (tptp.image_1655916159e_bool @t2 @t1)))) % 0.35/0.61 (assume @p31 (forall @t4 (=> @t6 (tptp.is_fun_a_bool (tptp.image_fun_a_bool_a @t2 @t1))))) % 0.35/0.61 (assume @p32 (forall @t4 (=> @t6 (tptp.is_fun_pname_bool (tptp.image_1854862208_pname @t2 @t1))))) % 0.35/0.61 (assume @p33 (forall @t4 (=> @t7 (tptp.is_fun_a_bool (tptp.image_876012084bool_a @t2 @t1))))) % 0.35/0.61 (assume @p34 (forall @t4 (=> @t7 (tptp.is_fun_pname_bool (tptp.image_1283814551_pname @t2 @t1))))) % 0.35/0.61 (assume @p35 (forall @t4 (tptp.is_fun_a_bool (tptp.image_fun_nat_bool_a @t2 @t1)))) % 0.35/0.61 (assume @p36 (forall @t4 (tptp.is_fun_pname_bool (tptp.image_1921560913_pname @t2 @t1)))) % 0.35/0.61 (assume @p37 (forall @t4 (tptp.is_fun_a_bool (tptp.image_573985017bool_a @t2 @t1)))) % 0.35/0.61 (assume @p38 (forall @t4 (tptp.is_fun_pname_bool (tptp.image_990671762_pname @t2 @t1)))) % 0.35/0.61 (assume @p39 (forall @t4 (tptp.is_fun_a_bool (tptp.image_349102846bool_a @t2 @t1)))) % 0.35/0.61 (assume @p40 (forall @t4 (tptp.is_fun_pname_bool (tptp.image_1705983821_pname @t2 @t1)))) % 0.35/0.61 (assume @p41 (forall @t4 (tptp.is_fun_a_bool (tptp.image_526090948bool_a @t2 @t1)))) % 0.35/0.61 (assume @p42 (forall @t4 (tptp.is_fun_pname_bool (tptp.image_1604018183_pname @t2 @t1)))) % 0.35/0.61 (assume @p43 (forall @t4 (=> (and (tptp.is_a @t2) @t3) (tptp.is_fun_a_bool (tptp.insert_a @t2 @t1))))) % 0.35/0.61 (assume @p44 (forall @t4 (=> (and (tptp.is_pname @t2) @t5) (tptp.is_fun_pname_bool (tptp.insert_pname @t2 @t1))))) % 0.35/0.61 (assume @p45 (forall @t4 (=> (and @t10 @t6) (tptp.is_fun949378684l_bool (tptp.insert_fun_a_bool @t2 @t1))))) % 0.35/0.61 (assume @p46 (forall @t4 (=> (and @t12 @t7) (tptp.is_fun1661590463l_bool (tptp.insert1325755072e_bool @t2 @t1))))) % 0.35/0.61 (assume @p47 (forall @t4 (=> (and @t10 @t15) (tptp.is_bool (tptp.hAPP_a_bool @t2 @t1))))) % 0.35/0.61 (assume @p48 (forall @t4 (=> @t15 (tptp.is_fun_a_bool (tptp.hAPP_a_fun_a_bool @t2 @t1))))) % 0.35/0.61 (assume @p49 (forall @t4 (=> @t15 (tptp.is_fun_pname_bool (tptp.hAPP_a93125764e_bool @t2 @t1))))) % 0.35/0.61 (assume @p50 (forall @t4 (=> @t15 (tptp.is_fun949378684l_bool (tptp.hAPP_a85458249l_bool @t2 @t1))))) % 0.35/0.61 (assume @p51 (forall @t4 (=> @t16 (tptp.is_a (tptp.hAPP_pname_a @t2 @t1))))) % 0.35/0.61 (assume @p52 (forall @t4 (=> (and @t12 @t16) (tptp.is_bool (tptp.hAPP_pname_bool @t2 @t1))))) % 0.35/0.61 (assume @p53 (forall @t4 (=> @t16 (tptp.is_fun_a_bool (tptp.hAPP_p1534023578a_bool @t2 @t1))))) % 0.35/0.61 (assume @p54 (forall @t4 (=> @t16 (tptp.is_fun_pname_bool (tptp.hAPP_p61793385e_bool @t2 @t1))))) % 0.35/0.61 (assume @p55 (forall @t4 (=> @t16 (tptp.is_fun1661590463l_bool (tptp.hAPP_p338031245l_bool @t2 @t1))))) % 0.35/0.61 (assume @p56 (forall @t4 (=> (tptp.is_bool @t1) (tptp.is_bool (tptp.hAPP_bool_bool @t2 @t1))))) % 0.35/0.61 (assume @p57 (forall @t4 (tptp.is_bool (tptp.hAPP_nat_bool @t2 @t1)))) % 0.35/0.61 (assume @p58 (forall @t4 (tptp.is_fun_a_bool (tptp.hAPP_nat_fun_a_bool @t2 @t1)))) % 0.35/0.61 (assume @p59 (forall @t4 (tptp.is_fun_pname_bool (tptp.hAPP_n1025906991e_bool @t2 @t1)))) % 0.35/0.61 (assume @p60 (forall @t4 (=> (and @t13 @t3) (tptp.is_bool (tptp.hAPP_fun_a_bool_bool @t2 @t1))))) % 0.35/0.61 (assume @p61 (forall @t4 (=> @t3 (tptp.is_fun_a_bool (tptp.hAPP_f2050579477a_bool @t2 @t1))))) % 0.35/0.61 (assume @p62 (forall @t4 (=> @t3 (tptp.is_fun949378684l_bool (tptp.hAPP_f1631501043l_bool @t2 @t1))))) % 0.35/0.61 (assume @p63 (forall @t4 (=> (and @t14 @t5) (tptp.is_bool (tptp.hAPP_f1664156314l_bool @t2 @t1))))) % 0.35/0.61 (assume @p64 (forall @t4 (=> @t5 (tptp.is_fun_pname_bool (tptp.hAPP_f759274231e_bool @t2 @t1))))) % 0.35/0.61 (assume @p65 (forall @t4 (=> @t5 (tptp.is_fun1661590463l_bool (tptp.hAPP_f434788991l_bool @t2 @t1))))) % 0.35/0.61 (assume @p66 (forall @t4 (tptp.is_bool (tptp.hAPP_f54304608l_bool @t2 @t1)))) % 0.35/0.61 (assume @p67 (forall @t4 (=> @t6 (tptp.is_bool (tptp.hAPP_f621171935l_bool @t2 @t1))))) % 0.35/0.61 (assume @p68 (forall @t4 (=> @t6 (tptp.is_fun949378684l_bool (tptp.hAPP_f2117159681l_bool @t2 @t1))))) % 0.35/0.61 (assume @p69 (forall @t4 (=> @t7 (tptp.is_bool (tptp.hAPP_f1935102916l_bool @t2 @t1))))) % 0.35/0.61 (assume @p70 (forall @t4 (=> @t7 (tptp.is_fun1661590463l_bool (tptp.hAPP_f559147733l_bool @t2 @t1))))) % 0.35/0.61 (assume @p71 (forall @t4 (tptp.is_bool (tptp.hAPP_f1637334154l_bool @t2 @t1)))) % 0.35/0.61 (assume @p72 (forall @t4 (tptp.is_bool (tptp.hAPP_f292226953l_bool @t2 @t1)))) % 0.35/0.61 (assume @p73 (forall @t4 (tptp.is_bool (tptp.hAPP_f389811538l_bool @t2 @t1)))) % 0.35/0.61 (assume @p74 (forall @t4 (tptp.is_bool (tptp.hAPP_f937997336l_bool @t2 @t1)))) % 0.35/0.61 (assume @p75 (forall @t4 (tptp.is_bool (tptp.hAPP_f1363661463l_bool @t2 @t1)))) % 0.35/0.61 (assume @p76 (forall @t4 (tptp.is_bool (tptp.hAPP_f595608956l_bool @t2 @t1)))) % 0.35/0.61 (assume @p77 (forall @t4 (tptp.is_bool (tptp.hAPP_f1295398978l_bool @t2 @t1)))) % 0.35/0.61 (assume @p78 (tptp.is_fun_a_bool tptp.g)) % 0.35/0.61 (assume @p79 (forall @t11 (=> @t10 (tptp.is_fun949378684l_bool (tptp.p @t2))))) % 0.35/0.61 (assume @p80 (tptp.is_fun_pname_bool tptp.u)) % 0.35/0.61 (assume @p81 (tptp.is_pname tptp.pn)) % 0.35/0.61 (assume @p82 (forall (@list @t17 @t18) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t17) @t18)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.p @t18) @t17))))) % 0.35/0.61 (assume @p83 (forall @t21 (=> @t20 (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) @t19))))))) % 0.35/0.61 (assume @p84 (forall @t21 (=> @t22 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.ord_le313189616e_bool) @t19))))))) % 0.35/0.61 (assume @p85 (forall @t21 (=> @t23 (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) @t19))))))) % 0.35/0.61 (assume @p86 (forall @t21 (=> @t24 (tptp.hBOOL (tptp.hAPP_f1295398978l_bool tptp.finite719726885l_bool (tptp.collec1874991203l_bool (tptp.hAPP_f760187903l_bool (tptp.cOMBC_1269652216l_bool tptp.ord_le65145710l_bool) @t19))))))) % 0.35/0.61 (assume @p87 (forall @t21 (=> @t25 (tptp.hBOOL (tptp.hAPP_f595608956l_bool tptp.finite1491191519l_bool (tptp.collec792590109l_bool (tptp.hAPP_f1759205631l_bool (tptp.cOMBC_336095980l_bool tptp.ord_le1375671464l_bool) @t19))))))) % 0.35/0.61 (assume @p88 (forall @t21 (=> @t26 (tptp.hBOOL (tptp.hAPP_f1363661463l_bool tptp.finite1343359508l_bool (tptp.collec1635217238l_bool (tptp.hAPP_f1050622307l_bool (tptp.cOMBC_636888218l_bool tptp.ord_le967226251l_bool) @t19))))))) % 0.35/0.61 (assume @p89 (forall @t21 (=> @t27 (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool (tptp.collec707592106l_bool (tptp.hAPP_f1434722111l_bool (tptp.cOMBC_331553030l_bool tptp.ord_le1375614389l_bool) @t19))))))) % 0.35/0.61 (assume @p90 (forall @t21 (=> @t28 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.collec1613912337l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool tptp.ord_le675606854l_bool) @t19))))))) % 0.35/0.61 (assume @p91 (forall @t21 (=> @t29 (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool (tptp.collec1015864663l_bool (tptp.hAPP_f1772781669l_bool (tptp.cOMBC_595898202l_bool tptp.ord_le1454342156l_bool) @t19))))))) % 0.35/0.61 (assume @p92 (forall @t33 (=> @t32 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_pname_a @t31 @t30)))))) % 0.35/0.61 (assume @p93 (forall @t33 (=> @t34 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_2089570637ol_nat @t31 @t30)))))) % 0.35/0.61 (assume @p94 (forall @t33 (=> @t35 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_1079571347ol_nat @t31 @t30)))))) % 0.35/0.61 (assume @p95 (forall @t33 (=> @t36 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_1802975832ol_nat @t31 @t30)))))) % 0.35/0.61 (assume @p96 (forall @t33 (=> @t37 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_fun_a_bool_nat @t31 @t30)))))) % 0.35/0.61 (assume @p97 (forall @t33 (=> @t38 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_1551609309ol_nat @t31 @t30)))))) % 0.35/0.61 (assume @p98 (forall @t33 (=> @t39 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_496248727ol_nat @t31 @t30)))))) % 0.35/0.61 (assume @p99 (forall @t33 (=> @t40 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_a_nat @t31 @t30)))))) % 0.35/0.61 (assume @p100 (forall @t33 (=> @t34 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1604018183_pname @t31 @t30)))))) % 0.35/0.61 (assume @p101 (forall @t33 (=> @t35 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1705983821_pname @t31 @t30)))))) % 0.35/0.61 (assume @p102 (forall @t33 (=> @t36 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_990671762_pname @t31 @t30)))))) % 0.35/0.61 (assume @p103 (forall @t33 (=> @t37 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1854862208_pname @t31 @t30)))))) % 0.35/0.61 (assume @p104 (forall @t33 (=> @t38 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1283814551_pname @t31 @t30)))))) % 0.35/0.61 (assume @p105 (forall @t33 (=> @t39 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1921560913_pname @t31 @t30)))))) % 0.35/0.61 (assume @p106 (forall @t33 (=> @t40 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_a_pname @t31 @t30)))))) % 0.35/0.61 (assume @p107 (forall @t33 (=> @t41 (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool (tptp.image_1607900221l_bool @t31 @t30)))))) % 0.35/0.61 (assume @p108 (forall @t33 (=> @t41 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.image_1874789623l_bool @t31 @t30)))))) % 0.35/0.61 (assume @p109 (forall @t33 (=> @t41 (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool (tptp.image_1208015684l_bool @t31 @t30)))))) % 0.35/0.61 (assume @p110 (forall @t33 (=> @t41 (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_nat_fun_a_bool @t31 @t30)))))) % 0.35/0.61 (assume @p111 (forall @t33 (=> @t41 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_1655916159e_bool @t31 @t30)))))) % 0.35/0.61 (assume @p112 (forall @t33 (=> @t41 (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_26036933t_bool @t31 @t30)))))) % 0.35/0.61 (assume @p113 (forall @t33 (=> @t41 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_nat_a @t31 @t30)))))) % 0.35/0.61 (assume @p114 (forall @t33 (=> @t32 (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool (tptp.image_1154884483l_bool @t31 @t30)))))) % 0.35/0.61 (assume @p115 (forall @t33 (=> @t32 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.image_1642285373l_bool @t31 @t30)))))) % 0.35/0.61 (assume @p116 (forall @t33 (=> @t32 (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool (tptp.image_1420695166l_bool @t31 @t30)))))) % 0.35/0.61 (assume @p117 (forall @t33 (=> @t32 (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.image_112932426a_bool @t31 @t30)))))) % 0.35/0.61 (assume @p118 (forall @t33 (=> @t32 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_47868345e_bool @t31 @t30)))))) % 0.35/0.61 (assume @p119 (forall @t33 (=> @t32 (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.image_2129980159t_bool @t31 @t30)))))) % 0.35/0.61 (assume @p120 (forall @t33 (=> @t32 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_pname_pname @t31 @t30)))))) % 0.35/0.61 (assume @p121 (forall @t33 (=> @t40 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_a_a @t31 @t30)))))) % 0.35/0.61 (assume @p122 (forall @t33 (=> @t39 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_fun_nat_bool_a @t31 @t30)))))) % 0.35/0.61 (assume @p123 (forall @t33 (=> @t38 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_876012084bool_a @t31 @t30)))))) % 0.35/0.61 (assume @p124 (forall @t33 (=> @t37 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a (tptp.image_fun_a_bool_a @t31 @t30)))))) % 0.35/0.61 (assume @p125 (forall @t33 (=> @t32 (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_pname_nat @t31 @t30)))))) % 0.35/0.61 (assume @p126 (forall @t33 (=> @t41 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_nat_pname @t31 @t30)))))) % 0.35/0.61 (assume @p127 (forall @t45 (=> @t23 @t44))) % 0.35/0.61 (assume @p128 (forall @t45 (=> @t20 @t47))) % 0.35/0.61 (assume @p129 (forall @t45 (=> @t22 @t49))) % 0.35/0.61 (assume @p130 (forall @t45 (=> @t24 (tptp.hBOOL (tptp.hAPP_f937997336l_bool tptp.finite1701474069l_bool (tptp.insert2003652156l_bool @t42 @t19)))))) % 0.35/0.61 (assume @p131 (forall @t45 (=> @t25 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.insert1117693814l_bool @t42 @t19)))))) % 0.35/0.61 (assume @p132 (forall @t45 (=> @t26 (tptp.hBOOL (tptp.hAPP_f292226953l_bool tptp.finite1381704300l_bool (tptp.insert1457093509l_bool @t42 @t19)))))) % 0.35/0.61 (assume @p133 (forall @t45 (=> @t27 @t50))) % 0.35/0.61 (assume @p134 (forall @t45 (=> @t28 @t51))) % 0.35/0.61 (assume @p135 (forall @t45 (=> @t29 @t52))) % 0.35/0.61 (assume @p136 (forall @t55 (=> @t22 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_pname_nat @t54 @t19))) @t53))))) % 0.35/0.61 (assume @p137 (forall @t55 (=> @t23 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_a_nat @t54 @t19))) @t56))))) % 0.35/0.61 (assume @p138 (forall @t55 (=> @t29 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_496248727ol_nat @t54 @t19))) @t57))))) % 0.35/0.61 (assume @p139 (forall @t55 (=> @t28 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_1551609309ol_nat @t54 @t19))) @t58))))) % 0.35/0.61 (assume @p140 (forall @t55 (=> @t27 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_fun_a_bool_nat @t54 @t19))) @t59))))) % 0.35/0.61 (assume @p141 (forall @t55 (=> @t23 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_a_pname @t54 @t19))) @t56))))) % 0.35/0.61 (assume @p142 (forall @t55 (=> @t20 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_nat_pname @t54 @t19))) @t60))))) % 0.35/0.61 (assume @p143 (forall @t55 (=> @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 @t61)) @t53))))) % 0.35/0.61 (assume @p144 (forall @t55 (=> @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 (tptp.image_526090948bool_a @t54 @t19))) (tptp.hAPP_f1690079119ol_nat tptp.finite1352710292l_bool @t19)))))) % 0.35/0.61 (assume @p145 (forall @t55 (=> @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 (tptp.image_349102846bool_a @t54 @t19))) (tptp.hAPP_f98387925ol_nat tptp.finite269641166l_bool @t19)))))) % 0.35/0.61 (assume @p146 (forall @t55 (=> @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 (tptp.image_573985017bool_a @t54 @t19))) (tptp.hAPP_f1253658590ol_nat tptp.finite1659325229l_bool @t19)))))) % 0.35/0.61 (assume @p147 (forall @t55 (=> @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 (tptp.image_fun_a_bool_a @t54 @t19))) @t59))))) % 0.35/0.61 (assume @p148 (forall @t55 (=> @t28 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_876012084bool_a @t54 @t19))) @t58))))) % 0.35/0.61 (assume @p149 (forall @t55 (=> @t29 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_fun_nat_bool_a @t54 @t19))) @t57))))) % 0.35/0.61 (assume @p150 (forall @t55 (=> @t23 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_a_a @t54 @t19))) @t56))))) % 0.35/0.61 (assume @p151 (forall @t55 (=> @t22 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_pname_pname @t54 @t19))) @t53))))) % 0.35/0.61 (assume @p152 (forall @t55 (=> @t22 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.image_2129980159t_bool @t54 @t19))) @t53))))) % 0.35/0.61 (assume @p153 (forall @t55 (=> @t22 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.image_47868345e_bool @t54 @t19))) @t53))))) % 0.35/0.61 (assume @p154 (forall @t55 (=> @t22 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.image_112932426a_bool @t54 @t19))) @t53))))) % 0.35/0.61 (assume @p155 (forall @t55 (=> @t20 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a (tptp.image_nat_a @t54 @t19))) @t60))))) % 0.35/0.61 (assume @p156 (forall @t55 (=> @t20 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f696928925ol_nat tptp.finite346522414t_bool (tptp.image_26036933t_bool @t54 @t19))) @t60))))) % 0.35/0.61 (assume @p157 (forall @t55 (=> @t20 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f55526627ol_nat tptp.finite1340463720e_bool (tptp.image_1655916159e_bool @t54 @t19))) @t60))))) % 0.35/0.61 (assume @p158 (forall @t55 (=> @t20 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f2009550088ol_nat tptp.finite1306199131a_bool (tptp.image_nat_fun_a_bool @t54 @t19))) @t60))))) % 0.35/0.61 (assume @p159 (forall @t55 (=> @t29 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_1921560913_pname @t54 @t19))) @t57))))) % 0.35/0.61 (assume @p160 (forall @t55 (=> @t28 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_1283814551_pname @t54 @t19))) @t58))))) % 0.35/0.61 (assume @p161 (forall @t55 (=> @t27 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_f921600141ol_nat tptp.finite_card_pname (tptp.image_1854862208_pname @t54 @t19))) @t59))))) % 0.35/0.61 (assume @p162 (forall @t67 (=> @t66 (=> @t65 (tptp.hBOOL (tptp.hAPP_nat_bool @t64 @t63)))))) % 0.35/0.61 (assume @p163 (forall @t67 (=> @t71 (=> @t70 (tptp.hBOOL (tptp.hAPP_nat_bool @t69 @t68)))))) % 0.35/0.61 (assume @p164 (forall @t67 (=> @t75 (=> @t74 (tptp.hBOOL (tptp.hAPP_nat_bool @t73 @t72)))))) % 0.35/0.61 (assume @p165 (forall @t67 (=> @t80 (=> @t79 (tptp.hBOOL (tptp.hAPP_nat_bool @t77 @t76)))))) % 0.35/0.61 (assume @p166 (forall @t67 (=> @t85 (=> @t84 (tptp.hBOOL (tptp.hAPP_nat_bool @t82 @t81)))))) % 0.35/0.61 (assume @p167 (forall @t67 (=> @t90 (=> @t89 (tptp.hBOOL (tptp.hAPP_nat_bool @t87 @t86)))))) % 0.35/0.61 (assume @p168 (forall @t67 (=> @t66 (=> @t65 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t63) @t57)) @t91))))) % 0.35/0.61 (assume @p169 (forall @t67 (=> (and (tptp.is_fun1661590463l_bool @t19) (tptp.is_fun1661590463l_bool @t62)) (=> @t71 (=> @t70 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t68) @t58)) @t91)))))) % 0.35/0.61 (assume @p170 (forall @t67 (=> (and (tptp.is_fun949378684l_bool @t19) (tptp.is_fun949378684l_bool @t62)) (=> @t75 (=> @t74 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t72) @t59)) @t91)))))) % 0.35/0.61 (assume @p171 (forall @t67 (=> @t94 (=> @t80 (=> @t79 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t76) @t53)) @t91)))))) % 0.35/0.61 (assume @p172 (forall @t67 (=> @t97 (=> @t85 (=> @t84 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t81) @t56)) @t91)))))) % 0.35/0.61 (assume @p173 (forall @t67 (=> @t90 (=> @t89 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t86) @t60)) @t91))))) % 0.35/0.61 (assume @p174 (forall @t100 (=> @t29 (tptp.hBOOL (tptp.hAPP_nat_bool @t64 @t99))))) % 0.35/0.61 (assume @p175 (forall @t100 (=> @t28 (tptp.hBOOL (tptp.hAPP_nat_bool @t69 @t101))))) % 0.35/0.61 (assume @p176 (forall @t100 (=> @t27 (tptp.hBOOL (tptp.hAPP_nat_bool @t73 @t102))))) % 0.35/0.61 (assume @p177 (forall @t100 (=> @t22 (tptp.hBOOL (tptp.hAPP_nat_bool @t77 @t104))))) % 0.35/0.61 (assume @p178 (forall @t100 (=> @t20 (tptp.hBOOL (tptp.hAPP_nat_bool @t87 @t106))))) % 0.35/0.61 (assume @p179 (forall @t100 (=> @t23 (tptp.hBOOL (tptp.hAPP_nat_bool @t82 @t108))))) % 0.35/0.61 (assume @p180 (forall @t100 (=> @t29 (and (=> @t109 (= @t99 @t57)) @t110)))) % 0.35/0.61 (assume @p181 (forall @t100 (=> @t28 (and (=> @t111 (= @t101 @t58)) @t112)))) % 0.35/0.61 (assume @p182 (forall @t100 (=> @t27 (and (=> @t113 (= @t102 @t59)) @t114)))) % 0.35/0.61 (assume @p183 (forall @t100 (=> @t20 (and (=> @t116 (= @t106 @t60)) @t118)))) % 0.35/0.61 (assume @p184 (forall @t100 (=> @t22 (and (=> @t120 (= @t104 @t53)) @t122)))) % 0.35/0.61 (assume @p185 (forall @t100 (=> @t23 (and (=> @t124 (= @t108 @t56)) @t126)))) % 0.35/0.61 (assume @p186 (forall @t100 (=> @t29 @t110))) % 0.35/0.61 (assume @p187 (forall @t100 (=> @t28 @t112))) % 0.35/0.61 (assume @p188 (forall @t100 (=> @t27 @t114))) % 0.35/0.61 (assume @p189 (forall @t100 (=> @t20 @t118))) % 0.35/0.61 (assume @p190 (forall @t100 (=> @t22 @t122))) % 0.35/0.61 (assume @p191 (forall @t100 (=> @t23 @t126))) % 0.35/0.61 (assume @p192 (forall @t132 (=> (or @t131 @t129) (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fconj @t128) @t127))))))) % 0.35/0.61 (assume @p193 (forall @t132 (=> (or @t135 @t133) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj @t128) @t127))))))) % 0.35/0.61 (assume @p194 (forall @t132 (=> (or @t138 @t136) (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fconj @t128) @t127))))))) % 0.35/0.61 (assume @p195 (forall @t132 (=> (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 @t128) @t127))))))) % 0.35/0.61 (assume @p196 (forall @t132 (=> (or @t144 @t142) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj @t128) @t127))))))) % 0.35/0.61 (assume @p197 (forall @t132 (=> (or @t147 @t145) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fconj @t128) @t127))))))) % 0.35/0.61 (assume @p198 (forall (@list @t148 @t149) (=> @t156 (= @t154 (tptp.hAPP_nat_nat tptp.suc @t151))))) % 0.35/0.61 (assume @p199 (forall (@list @t157) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool @t158 @t157)))))) % 0.35/0.61 (assume @p200 (forall (@list @t159) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool @t158 @t159))) @t160))) % 0.35/0.61 (assume @p201 (forall @t164 (=> (= (tptp.hAPP_nat_nat tptp.suc @t162) (tptp.hAPP_nat_nat tptp.suc @t161)) @t163))) % 0.35/0.61 (assume @p202 (forall (@list @t166 @t165) (= (= (tptp.hAPP_nat_nat tptp.suc @t166) (tptp.hAPP_nat_nat tptp.suc @t165)) (= @t166 @t165)))) % 0.35/0.61 (assume @p203 (forall @t168 (not (= @t167 @t148)))) % 0.35/0.61 (assume @p204 (forall @t168 (not (= @t148 @t167)))) % 0.35/0.61 (assume @p205 (forall @t172 (=> @t171 (=> @t156 @t169)))) % 0.35/0.61 (assume @p206 (forall (@list @t173 @t174 @t176) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t175 @t176)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t176) @t173)) (tptp.hBOOL (tptp.hAPP_nat_bool @t175 @t173)))))) % 0.35/0.61 (assume @p207 (forall @t172 (=> @t169 @t171))) % 0.35/0.61 (assume @p208 (forall @t172 (or @t171 @t156))) % 0.35/0.61 (assume @p209 (forall @t168 (tptp.hBOOL (tptp.hAPP_nat_bool @t155 @t148)))) % 0.35/0.61 (assume @p210 (forall (@list @t174 @t176 @t173) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat @t177 @t176)) @t173) (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat @t177 @t173)) @t176)))) % 0.35/0.61 (assume @p211 (forall @t178 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj @t128) @t127)))) (and @t144 @t142)))) % 0.35/0.61 (assume @p212 (forall @t178 (= (tptp.hBOOL (tptp.hAPP_f1637334154l_bool tptp.finite2012431853t_bool (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj @t128) @t127)))) (and @t131 @t129)))) % 0.35/0.61 (assume @p213 (forall @t178 (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj @t128) @t127)))) (and @t135 @t133)))) % 0.35/0.61 (assume @p214 (forall @t178 (= (tptp.hBOOL (tptp.hAPP_f621171935l_bool tptp.finite347923420a_bool (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj @t128) @t127)))) (and @t138 @t136)))) % 0.35/0.61 (assume @p215 (forall @t178 (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj @t128) @t127)))) (and @t147 @t145)))) % 0.35/0.61 (assume @p216 (forall @t178 (= (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 @t128) @t127)))) (and @t141 @t139)))) % 0.35/0.61 (assume @p217 (forall @t45 (= @t47 @t20))) % 0.35/0.61 (assume @p218 (forall @t45 (= @t49 @t22))) % 0.35/0.61 (assume @p219 (forall @t45 (= @t44 @t23))) % 0.35/0.61 (assume @p220 (forall @t45 (= @t52 @t29))) % 0.35/0.61 (assume @p221 (forall @t45 (= @t51 @t28))) % 0.35/0.61 (assume @p222 (forall @t45 (= @t50 @t27))) % 0.35/0.61 (assume @p223 (forall @t67 (=> @t65 (=> @t66 @t29)))) % 0.35/0.61 (assume @p224 (forall @t67 (=> @t70 (=> @t71 @t28)))) % 0.35/0.61 (assume @p225 (forall @t67 (=> @t84 (=> @t85 @t23)))) % 0.35/0.61 (assume @p226 (forall @t67 (=> @t74 (=> @t75 @t27)))) % 0.35/0.61 (assume @p227 (forall @t67 (=> @t89 (=> @t90 @t20)))) % 0.35/0.61 (assume @p228 (forall @t67 (=> @t79 (=> @t80 @t22)))) % 0.35/0.61 (assume @p229 (forall @t67 (=> @t66 (=> @t65 @t29)))) % 0.35/0.61 (assume @p230 (forall @t67 (=> @t71 (=> @t70 @t28)))) % 0.35/0.61 (assume @p231 (forall @t67 (=> @t85 (=> @t84 @t23)))) % 0.35/0.61 (assume @p232 (forall @t67 (=> @t75 (=> @t74 @t27)))) % 0.35/0.61 (assume @p233 (forall @t67 (=> @t90 (=> @t89 @t20)))) % 0.35/0.61 (assume @p234 (forall @t67 (=> @t80 (=> @t79 @t22)))) % 0.35/0.61 (assume @p235 (forall @t172 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t152) @t148)) @t171))) % 0.35/0.61 (assume @p236 (forall @t172 (=> @t179 (=> (not @t171) (= @t149 @t167))))) % 0.35/0.61 (assume @p237 (forall @t172 (=> @t171 @t179))) % 0.35/0.61 (assume @p238 (forall (@list @t159 @t180) (= (tptp.hBOOL (tptp.hAPP_nat_bool @t182 (tptp.hAPP_nat_nat tptp.suc @t180))) (tptp.hBOOL (tptp.hAPP_nat_bool @t181 @t180))))) % 0.35/0.61 (assume @p239 (forall @t185 (= (tptp.hBOOL (tptp.hAPP_nat_bool @t183 @t160)) (or @t184 (= @t180 @t160))))) % 0.35/0.61 (assume @p240 (forall @t185 (= (not @t184) (tptp.hBOOL (tptp.hAPP_nat_bool @t182 @t180))))) % 0.35/0.61 (assume @p241 (forall @t168 (not (tptp.hBOOL (tptp.hAPP_nat_bool @t186 @t148))))) % 0.35/0.61 (assume @p242 (forall (@list @t149 @t148 @t173) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t154) (tptp.hAPP_nat_nat tptp.suc @t173)) (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t151) @t173)))) % 0.35/0.61 (assume @p243 (forall @t172 (= (tptp.hAPP_nat_nat @t153 @t167) @t151))) % 0.35/0.61 (assume @p244 (forall @t192 (=> @t191 (=> @t190 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t188) @t187)) @t184))))) % 0.35/0.61 (assume @p245 (forall (@list @t148 @t173 @t149) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t194 @t149)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t194 @t148)) (= (tptp.hAPP_nat_nat (tptp.minus_minus_nat (tptp.hAPP_nat_nat @t150 @t173)) (tptp.hAPP_nat_nat @t193 @t173)) @t151))))) % 0.35/0.61 (assume @p246 (forall @t192 (=> @t191 (=> @t190 (= (= @t188 @t187) (= @t180 @t159)))))) % 0.35/0.61 (assume @p247 (forall (@list @t174 @t148) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t175 @t148)) (= (tptp.hAPP_nat_nat @t193 (tptp.hAPP_nat_nat @t193 @t174)) @t174)))) % 0.35/0.61 (assume @p248 (forall @t196 (=> @t171 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t150 @t195)) (tptp.hAPP_nat_nat @t193 @t195)))))) % 0.35/0.61 (assume @p249 (forall @t196 (=> @t171 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t197 @t148)) (tptp.hAPP_nat_nat @t197 @t149)))))) % 0.35/0.61 (assume @p250 (forall @t172 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t151) @t149)))) % 0.35/0.61 (assume @p251 (forall @t200 (=> @t22 (=> @t199 @t85)))) % 0.35/0.61 (assume @p252 (forall @t202 (=> @t95 (=> @t85 (=> @t199 (exists (@list @t201) (and (tptp.is_fun_pname_bool @t201) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t201) @t19)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t201)) (= @t62 (tptp.image_pname_a @t54 @t201))))))))) % 0.35/0.61 (assume @p253 (forall @t208 (=> (forall @t207 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool @t54 @t205)) (tptp.hAPP_n1699378549t_bool @t54 @t206)))) (=> @t204 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.hAPP_n1699378549t_bool @t54 @t159)) (tptp.hAPP_n1699378549t_bool @t54 @t203))))))) % 0.35/0.61 (assume @p254 (forall @t208 (=> (forall @t207 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_n1025906991e_bool @t54 @t205)) (tptp.hAPP_n1025906991e_bool @t54 @t206)))) (=> @t204 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.hAPP_n1025906991e_bool @t54 @t159)) (tptp.hAPP_n1025906991e_bool @t54 @t203))))))) % 0.35/0.61 (assume @p255 (forall @t208 (=> (forall @t207 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t54 @t205)) (tptp.hAPP_nat_nat @t54 @t206)))) (=> @t204 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t54 @t159)) (tptp.hAPP_nat_nat @t54 @t203))))))) % 0.35/0.61 (assume @p256 (forall @t208 (=> (forall @t207 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_nat_fun_a_bool @t54 @t205)) (tptp.hAPP_nat_fun_a_bool @t54 @t206)))) (=> @t204 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.hAPP_nat_fun_a_bool @t54 @t159)) (tptp.hAPP_nat_fun_a_bool @t54 @t203))))))) % 0.35/0.61 (assume @p257 (forall @t55 (=> (not @t22) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool tptp.finite_finite_a @t61)) (exists @t215 (and @t214 @t213 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj (tptp.hAPP_f759274231e_bool @t211 @t19)) (tptp.hAPP_a93125764e_bool (tptp.cOMBC_pname_a_bool (tptp.cOMBB_1897541054_pname tptp.fequal_a @t54)) @t210)))))))))))) % 0.35/0.61 (assume @p258 @t222) % 0.35/0.61 (assume @p259 (forall @t67 (=> @t89 (=> @t224 @t91)))) % 0.35/0.61 (assume @p260 (forall @t67 (=> @t94 (=> @t79 (=> @t226 @t91))))) % 0.35/0.61 (assume @p261 (forall @t67 (=> @t97 (=> @t84 (=> @t227 @t91))))) % 0.35/0.61 (assume @p262 (forall @t230 (=> @t89 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t229 @t19)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t229 @t62)))))) % 0.35/0.61 (assume @p263 (forall @t230 (=> @t84 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t231 @t19)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t231 @t62)))))) % 0.35/0.61 (assume @p264 (forall @t230 (=> @t79 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t232 @t19)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t232 @t62)))))) % 0.35/0.61 (assume @p265 (forall @t238 (=> (=> (not @t237) @t236) @t235))) % 0.35/0.61 (assume @p266 (forall @t238 (=> (=> (not @t242) @t236) @t241))) % 0.35/0.61 (assume @p267 (forall @t238 (=> (=> (not @t246) @t236) @t245))) % 0.35/0.61 (assume @p268 (forall @t250 (=> @t249 (=> @t248 @t247)))) % 0.35/0.61 (assume @p269 (forall @t250 (=> @t253 (=> @t252 (=> @t248 @t251))))) % 0.35/0.61 (assume @p270 (forall @t250 (=> @t257 (=> @t255 (=> @t248 @t254))))) % 0.35/0.61 (assume @p271 (forall @t259 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t234 @t258)))) % 0.35/0.61 (assume @p272 (forall @t259 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t240 @t260)))) % 0.35/0.61 (assume @p273 (forall @t259 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t244 @t261)))) % 0.35/0.61 (assume @p274 (forall @t259 (= @t258 (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj @t264) (tptp.hAPP_f800510211t_bool @t262 @t62)))))) % 0.35/0.61 (assume @p275 (forall @t259 (= @t260 (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj @t266) (tptp.hAPP_f759274231e_bool @t211 @t62)))))) % 0.35/0.61 (assume @p276 (forall @t259 (= @t261 (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fdisj @t269) (tptp.hAPP_f2050579477a_bool @t267 @t62)))))) % 0.35/0.61 (assume @p277 (forall @t259 (= (tptp.insert_fun_nat_bool @t42 @t62) (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj @t272) (tptp.hAPP_f1246832597l_bool @t270 @t62)))))) % 0.35/0.61 (assume @p278 (forall @t259 (= (tptp.insert1325755072e_bool @t42 @t62) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj @t275) (tptp.hAPP_f559147733l_bool @t273 @t62)))))) % 0.35/0.61 (assume @p279 (forall @t259 (= (tptp.insert_fun_a_bool @t42 @t62) (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj @t278) (tptp.hAPP_f2117159681l_bool @t276 @t62)))))) % 0.35/0.61 (assume @p280 (forall @t279 (= (tptp.insert_nat @t42 @t146) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fimplies (tptp.cOMBB_bool_bool_nat tptp.fNot @t264)) @t128))))) % 0.35/0.61 (assume @p281 (forall @t279 (= (tptp.insert_pname @t42 @t143) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fimplies (tptp.cOMBB_647938656_pname tptp.fNot @t266)) @t128))))) % 0.35/0.61 (assume @p282 (forall @t279 (= (tptp.insert_a @t42 @t140) (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fimplies (tptp.cOMBB_bool_bool_a tptp.fNot @t269)) @t128))))) % 0.35/0.61 (assume @p283 (forall @t279 (= (tptp.insert_fun_nat_bool @t42 @t130) (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fimplies (tptp.cOMBB_238756964t_bool tptp.fNot @t272)) @t128))))) % 0.35/0.61 (assume @p284 (forall @t279 (= (tptp.insert1325755072e_bool @t42 @t134) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fimplies (tptp.cOMBB_307249310e_bool tptp.fNot @t275)) @t128))))) % 0.35/0.61 (assume @p285 (forall @t279 (= (tptp.insert_fun_a_bool @t42 @t137) (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fimplies (tptp.cOMBB_2140588453a_bool tptp.fNot @t278)) @t128))))) % 0.35/0.61 (assume @p286 (forall @t100 (= (tptp.insert_nat @t98 @t105) @t105))) % 0.35/0.61 (assume @p287 (forall @t100 (= (tptp.insert_pname @t98 @t103) @t103))) % 0.35/0.61 (assume @p288 (forall @t100 (= (tptp.insert_a @t98 @t107) @t107))) % 0.35/0.61 (assume @p289 (forall @t282 (= (tptp.insert_nat @t98 @t281) (tptp.insert_nat @t280 @t105)))) % 0.35/0.61 (assume @p290 (forall @t282 (= (tptp.insert_pname @t98 @t283) (tptp.insert_pname @t280 @t103)))) % 0.35/0.61 (assume @p291 (forall @t282 (= (tptp.insert_a @t98 @t284) (tptp.insert_a @t280 @t107)))) % 0.35/0.61 (assume @p292 (forall @t250 (= @t249 (or @t236 @t247)))) % 0.35/0.61 (assume @p293 (forall @t250 (=> @t253 (= @t252 (or @t236 @t251))))) % 0.35/0.61 (assume @p294 (forall @t250 (=> @t257 (= @t255 (or @t236 @t254))))) % 0.35/0.61 (assume @p295 (forall @t287 (= (tptp.hBOOL (tptp.hAPP_nat_bool @t281 @t98)) (or @t286 @t285)))) % 0.35/0.61 (assume @p296 (forall @t287 (=> (and (tptp.is_pname @t280) (tptp.is_pname @t98)) (= (tptp.hBOOL (tptp.hAPP_pname_bool @t283 @t98)) (or @t286 @t288))))) % 0.35/0.61 (assume @p297 (forall @t287 (=> (and (tptp.is_a @t280) (tptp.is_a @t98)) (= (tptp.hBOOL (tptp.hAPP_a_bool @t284 @t98)) (or @t286 @t289))))) % 0.35/0.61 (assume @p298 (forall @t292 (=> @t117 (=> (not @t291) (= (= @t105 @t290) @t91))))) % 0.35/0.61 (assume @p299 (forall @t292 (=> (and @t92 @t93) (=> @t121 (=> (not @t294) (= (= @t103 @t293) @t91)))))) % 0.35/0.61 (assume @p300 (forall @t292 (=> (and @t95 @t96) (=> @t125 (=> (not @t296) (= (= @t107 @t295) @t91)))))) % 0.35/0.61 (assume @p301 (forall @t238 (=> @t237 @t235))) % 0.35/0.61 (assume @p302 (forall @t238 (=> @t242 @t241))) % 0.35/0.61 (assume @p303 (forall @t238 (=> @t246 @t245))) % 0.35/0.61 (assume @p304 (forall @t45 (=> @t247 (= @t46 @t19)))) % 0.35/0.61 (assume @p305 (forall @t45 (=> @t93 (=> @t251 (= @t48 @t19))))) % 0.35/0.61 (assume @p306 (forall @t45 (=> @t96 (=> @t254 (= @t43 @t19))))) % 0.35/0.61 (assume @p307 (forall @t21 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t88 @t19)))) % 0.35/0.61 (assume @p308 (forall @t21 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t78 @t19)))) % 0.35/0.61 (assume @p309 (forall @t21 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t83 @t19)))) % 0.35/0.61 (assume @p310 (forall @t67 (= @t91 (and @t89 @t224)))) % 0.35/0.61 (assume @p311 (forall @t67 (=> @t94 (= @t91 (and @t79 @t226))))) % 0.35/0.61 (assume @p312 (forall @t67 (=> @t97 (= @t91 (and @t84 @t227))))) % 0.35/0.61 (assume @p313 (forall @t67 (=> @t91 @t89))) % 0.35/0.61 (assume @p314 (forall @t67 (=> @t91 @t79))) % 0.35/0.61 (assume @p315 (forall @t67 (=> @t91 @t84))) % 0.35/0.61 (assume @p316 (forall @t67 (=> @t91 @t224))) % 0.35/0.61 (assume @p317 (forall @t67 (=> @t91 @t226))) % 0.35/0.61 (assume @p318 (forall @t67 (=> @t91 @t227))) % 0.35/0.61 (assume @p319 (forall @t297 (=> @t89 (=> @t116 @t291)))) % 0.35/0.61 (assume @p320 (forall @t297 (=> @t84 (=> @t124 @t296)))) % 0.35/0.61 (assume @p321 (forall @t297 (=> @t79 (=> @t120 @t294)))) % 0.35/0.61 (assume @p322 (forall @t292 (=> @t116 (=> @t89 @t291)))) % 0.35/0.61 (assume @p323 (forall @t292 (=> @t124 (=> @t84 @t296)))) % 0.35/0.61 (assume @p324 (forall @t292 (=> @t120 (=> @t79 @t294)))) % 0.35/0.61 (assume @p325 (forall @t299 (=> @t89 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t223 @t298)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t88 @t298)))))) % 0.35/0.61 (assume @p326 (forall @t299 (=> @t79 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t225 @t298)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t78 @t298)))))) % 0.35/0.61 (assume @p327 (forall @t299 (=> @t84 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t198 @t298)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t83 @t298)))))) % 0.35/0.61 (assume @p328 (forall @t67 (=> @t91 (not (=> @t89 (not @t224)))))) % 0.35/0.61 (assume @p329 (forall @t67 (=> @t91 (not (=> @t79 (not @t226)))))) % 0.35/0.61 (assume @p330 (forall @t67 (=> @t91 (not (=> @t84 (not @t227)))))) % 0.35/0.61 (assume @p331 (forall @t100 (= @t116 @t285))) % 0.35/0.61 (assume @p332 (forall @t100 (= @t124 @t289))) % 0.35/0.61 (assume @p333 (forall @t100 (= @t120 @t288))) % 0.35/0.61 (assume @p334 (forall @t300 (=> (tptp.is_fun_pname_bool @t128) (= @t143 @t128)))) % 0.35/0.61 (assume @p335 (forall @t300 (= @t130 @t128))) % 0.35/0.61 (assume @p336 (forall @t300 (=> (tptp.is_fun1661590463l_bool @t128) (= @t134 @t128)))) % 0.35/0.61 (assume @p337 (forall @t300 (=> (tptp.is_fun949378684l_bool @t128) (= @t137 @t128)))) % 0.35/0.61 (assume @p338 (forall @t300 (= @t146 @t128))) % 0.35/0.61 (assume @p339 (forall (@list @t301 @t54 @t19) (=> (tptp.is_a @t301) (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t301) @t61)) (exists @t215 (and @t214 @t213 (= @t301 @t210))))))) % 0.35/0.61 (assume @p340 (forall @t303 (=> @t120 @t302))) % 0.35/0.61 (assume @p341 (forall (@list @t216 @t54 @t98 @t19) (=> @t120 (=> @t220 @t217)))) % 0.35/0.61 (assume @p342 (forall @t305 (= (tptp.insert_nat @t209 @t304) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.cOMBB_1015721476ol_nat tptp.fdisj (tptp.hAPP_n1699378549t_bool @t263 @t209)) (tptp.hAPP_f800510211t_bool @t262 @t304)))))) % 0.35/0.61 (assume @p343 (forall @t305 (= (tptp.insert_pname @t209 @t304) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj (tptp.hAPP_p61793385e_bool @t265 @t209)) (tptp.hAPP_f759274231e_bool @t211 @t304)))))) % 0.35/0.61 (assume @p344 (forall @t305 (= (tptp.insert_a @t209 @t304) (tptp.collect_a (tptp.cOMBS_a_bool_bool (tptp.cOMBB_1972296269bool_a tptp.fdisj (tptp.hAPP_a_fun_a_bool @t268 @t209)) (tptp.hAPP_f2050579477a_bool @t267 @t304)))))) % 0.35/0.61 (assume @p345 (forall @t305 (= (tptp.insert_fun_nat_bool @t209 @t304) (tptp.collect_fun_nat_bool (tptp.cOMBS_1187019125l_bool (tptp.cOMBB_444170502t_bool tptp.fdisj (tptp.hAPP_f103356543l_bool @t271 @t209)) (tptp.hAPP_f1246832597l_bool @t270 @t304)))))) % 0.35/0.61 (assume @p346 (forall @t305 (= (tptp.insert1325755072e_bool @t209 @t304) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj (tptp.hAPP_f434788991l_bool @t274 @t209)) (tptp.hAPP_f559147733l_bool @t273 @t304)))))) % 0.35/0.61 (assume @p347 (forall @t305 (= (tptp.insert_fun_a_bool @t209 @t304) (tptp.collect_fun_a_bool (tptp.cOMBS_1035972772l_bool (tptp.cOMBB_338059395a_bool tptp.fdisj (tptp.hAPP_f1631501043l_bool @t277 @t209)) (tptp.hAPP_f2117159681l_bool @t276 @t304)))))) % 0.35/0.61 (assume @p348 (forall @t306 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t223 @t258)))) % 0.35/0.61 (assume @p349 (forall @t306 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t225 @t260)))) % 0.35/0.61 (assume @p350 (forall @t306 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t198 @t261)))) % 0.35/0.61 (assume @p351 (forall @t297 (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t105) @t62)) (and @t291 @t89)))) % 0.35/0.61 (assume @p352 (forall @t297 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t103) @t62)) (and @t294 @t79)))) % 0.35/0.61 (assume @p353 (forall @t297 (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t107) @t62)) (and @t296 @t84)))) % 0.35/0.61 (assume @p354 (forall @t292 (=> @t117 (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t88 @t290)) @t89)))) % 0.35/0.61 (assume @p355 (forall @t292 (=> @t121 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t78 @t293)) @t79)))) % 0.35/0.61 (assume @p356 (forall @t292 (=> @t125 (= (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t83 @t295)) @t84)))) % 0.35/0.61 (assume @p357 (forall @t307 (=> @t89 (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t88 @t233))))) % 0.35/0.61 (assume @p358 (forall @t307 (=> @t79 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t78 @t239))))) % 0.35/0.61 (assume @p359 (forall @t307 (=> @t84 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t83 @t243))))) % 0.35/0.61 (assume @p360 (forall @t309 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t298) @t308)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.insert_nat @t42 @t298)) (tptp.insert_nat @t42 @t308)))))) % 0.35/0.61 (assume @p361 (forall @t309 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t298) @t308)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.insert_pname @t42 @t298)) (tptp.insert_pname @t42 @t308)))))) % 0.35/0.61 (assume @p362 (forall @t309 (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t298) @t308)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool (tptp.insert_a @t42 @t298)) (tptp.insert_a @t42 @t308)))))) % 0.35/0.61 (assume @p363 (forall (@list @t54 @t42 @t62) (= (tptp.image_pname_a @t54 @t260) (tptp.insert_a (tptp.hAPP_pname_a @t54 @t42) @t310)))) % 0.35/0.61 (assume @p364 (forall @t303 (=> @t120 (= (tptp.insert_a @t219 @t61) @t61)))) % 0.35/0.61 (assume @p365 (forall @t200 (=> @t95 (= @t199 (exists (@list @t311) (and (tptp.is_fun_pname_bool @t311) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t311) @t19)) (= @t62 (tptp.image_pname_a @t54 @t311)))))))) % 0.35/0.61 (assume @p366 (forall @t202 (=> @t79 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t312 @t310))))) % 0.35/0.61 (assume @p367 (forall (@list @t216 @t54 @t19) (=> @t256 (=> @t217 (not (forall @t215 (=> @t214 (=> (= @t216 @t210) (not @t213))))))))) % 0.35/0.61 (assume @p368 (forall @t314 (=> (forall @t215 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t313 @t19)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t313 @t62)))) @t89))) % 0.35/0.61 (assume @p369 (forall @t314 (=> (forall @t215 (=> (tptp.is_a @t209) (=> (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t315 @t19)) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t315 @t62))))) @t84))) % 0.35/0.61 (assume @p370 (forall @t314 (=> (forall @t215 (=> @t214 (=> @t213 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t212 @t62))))) @t79))) % 0.35/0.61 (assume @p371 (forall (@list @t316 @t128 @t157) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t128 @t157)) (=> (forall @t207 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t128 @t206)) (tptp.hBOOL (tptp.hAPP_nat_bool @t128 @t205)))) (tptp.hBOOL (tptp.hAPP_nat_bool @t128 (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t157) @t316))))))) % 0.35/0.61 (assume @p372 (forall (@list @t148 @t318) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t186 @t318)) (exists @t319 (= @t318 (tptp.hAPP_nat_nat tptp.suc @t317)))))) % 0.35/0.61 (assume @p373 (forall (@list @t54 @t62 @t19) (=> (forall @t215 (=> @t214 (=> @t213 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool tptp.member_a @t210) @t62))))) (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t312 @t62))))) % 0.35/0.61 (assume @p374 (forall @t320 (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool @t98) @t98)))) % 0.35/0.61 (assume @p375 (forall @t320 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t98) @t98)))) % 0.35/0.61 (assume @p376 (forall (@list @t321) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t321) @t321)))) % 0.35/0.61 (assume @p377 (forall @t320 (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool tptp.ord_le1311769555a_bool @t98) @t98)))) % 0.35/0.61 (assume @p378 (forall (@list @t322) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat @t322)) (exists @t319 (forall @t215 (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool @t313 @t322)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t209) @t317)))))))) % 0.35/0.61 (assume @p379 (forall @t327 (or (not @t326) @t325))) % 0.35/0.61 (assume @p380 (forall @t327 (or @t324 @t326))) % 0.35/0.61 (assume @p381 (forall @t332 (or @t325 @t331 @t329))) % 0.35/0.61 (assume @p382 (forall @t334 (or @t333 @t324))) % 0.35/0.61 (assume @p383 (forall @t334 (or @t333 @t330))) % 0.35/0.61 (assume @p384 (forall @t332 (or @t325 @t335))) % 0.35/0.61 (assume @p385 (forall @t334 (or @t331 @t335))) % 0.35/0.61 (assume @p386 (forall @t334 (or (not @t335) @t324 @t330))) % 0.35/0.61 (assume @p387 (forall @t332 (or @t324 @t336))) % 0.35/0.61 (assume @p388 (forall @t334 (or @t331 @t336))) % 0.35/0.61 (assume @p389 (forall @t334 (or (not @t336) @t325 @t330))) % 0.35/0.61 (assume @p390 (forall @t164 (=> (and (tptp.is_a @t162) (tptp.is_a @t161)) (or (not @t337) @t163)))) % 0.35/0.61 (assume @p391 (forall @t164 (or @t338 @t337))) % 0.35/0.61 (assume @p392 (forall @t164 (or (not @t339) @t163))) % 0.35/0.61 (assume @p393 (forall @t164 (or @t338 @t339))) % 0.35/0.61 (assume @p394 (forall @t164 (=> (and (tptp.is_pname @t162) (tptp.is_pname @t161)) (or (not @t340) @t163)))) % 0.35/0.61 (assume @p395 (forall @t164 (or @t338 @t340))) % 0.35/0.61 (assume @p396 (forall @t342 (= (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool (tptp.cOMBC_a_a_bool @t323) @t328) @t341) (tptp.hAPP_a_bool (tptp.hAPP_a_fun_a_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p397 (forall @t164 (=> (and (tptp.is_fun_a_bool @t162) (tptp.is_fun_a_bool @t161)) (or (not @t343) @t163)))) % 0.35/0.61 (assume @p398 (forall @t164 (or @t338 @t343))) % 0.35/0.61 (assume @p399 (forall @t342 (= (tptp.hAPP_a_bool (tptp.cOMBB_bool_bool_a @t323 @t328) @t341) (tptp.hAPP_bool_bool @t323 @t344)))) % 0.35/0.61 (assume @p400 (forall @t342 (= (tptp.hAPP_a_bool (tptp.cOMBS_a_bool_bool @t323 @t328) @t341) (tptp.hAPP_bool_bool (tptp.hAPP_a_fun_bool_bool @t323 @t341) @t344)))) % 0.35/0.61 (assume @p401 (forall @t342 (= (tptp.hAPP_pname_bool (tptp.hAPP_a93125764e_bool (tptp.cOMBC_pname_a_bool @t323) @t328) @t341) (tptp.hAPP_a_bool (tptp.hAPP_p1534023578a_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p402 (forall @t164 (or (not @t345) @t163))) % 0.35/0.61 (assume @p403 (forall @t164 (or @t338 @t345))) % 0.35/0.61 (assume @p404 (forall @t164 (=> (and (tptp.is_fun_pname_bool @t162) (tptp.is_fun_pname_bool @t161)) (or (not @t346) @t163)))) % 0.35/0.61 (assume @p405 (forall @t164 (or @t338 @t346))) % 0.35/0.61 (assume @p406 (forall @t342 (= (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool (tptp.cOMBC_nat_nat_bool @t323) @t328) @t341) (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p407 (forall @t342 (= (tptp.hAPP_nat_bool (tptp.cOMBB_bool_bool_nat @t323 @t328) @t341) (tptp.hAPP_bool_bool @t323 @t347)))) % 0.35/0.61 (assume @p408 (forall @t342 (= (tptp.hAPP_nat_bool (tptp.cOMBS_nat_bool_bool @t323 @t328) @t341) (tptp.hAPP_bool_bool (tptp.hAPP_n1006566506l_bool @t323 @t341) @t347)))) % 0.35/0.61 (assume @p409 (forall @t342 (= (tptp.hAPP_pname_bool (tptp.cOMBB_647938656_pname @t323 @t328) @t341) (tptp.hAPP_bool_bool @t323 @t348)))) % 0.35/0.61 (assume @p410 (forall @t342 (= (tptp.hAPP_pname_bool (tptp.cOMBS_568398431l_bool @t323 @t328) @t341) (tptp.hAPP_bool_bool (tptp.hAPP_p393069232l_bool @t323 @t341) @t348)))) % 0.35/0.61 (assume @p411 (forall @t342 (= (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool @t323) @t328) @t341) (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p412 (forall @t342 (= (tptp.hAPP_a_bool (tptp.hAPP_f2050579477a_bool (tptp.cOMBC_1355376034l_bool @t323) @t328) @t341) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_a85458249l_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p413 (forall @t342 (= (tptp.hAPP_p1534023578a_bool (tptp.cOMBB_1897541054_pname @t323 @t328) @t341) (tptp.hAPP_a_fun_a_bool @t323 (tptp.hAPP_pname_a @t328 @t341))))) % 0.35/0.61 (assume @p414 (forall @t342 (= (tptp.hAPP_fun_a_bool_bool (tptp.cOMBB_2140588453a_bool @t323 @t328) @t341) (tptp.hAPP_bool_bool @t323 @t349)))) % 0.35/0.61 (assume @p415 (forall @t342 (= (tptp.hAPP_a_fun_bool_bool (tptp.cOMBB_1972296269bool_a @t323 @t328) @t341) (tptp.hAPP_b589554111l_bool @t323 @t344)))) % 0.35/0.61 (assume @p416 (forall @t342 (= (tptp.hAPP_fun_a_bool_bool (tptp.cOMBS_1035972772l_bool @t323 @t328) @t341) (tptp.hAPP_bool_bool (tptp.hAPP_f198738859l_bool @t323 @t341) @t349)))) % 0.35/0.61 (assume @p417 (forall @t342 (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.cOMBC_226598744l_bool @t323) @t328) @t341) (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p418 (forall @t342 (= (tptp.hAPP_f54304608l_bool (tptp.cOMBB_238756964t_bool @t323 @t328) @t341) (tptp.hAPP_bool_bool @t323 @t350)))) % 0.35/0.61 (assume @p419 (forall @t342 (= (tptp.hAPP_n1006566506l_bool (tptp.cOMBB_1015721476ol_nat @t323 @t328) @t341) (tptp.hAPP_b589554111l_bool @t323 @t347)))) % 0.35/0.61 (assume @p420 (forall @t342 (= (tptp.hAPP_f54304608l_bool (tptp.cOMBS_1187019125l_bool @t323 @t328) @t341) (tptp.hAPP_bool_bool (tptp.hAPP_f1748468828l_bool @t323 @t341) @t350)))) % 0.35/0.61 (assume @p421 (forall @t342 (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBB_307249310e_bool @t323 @t328) @t341) (tptp.hAPP_bool_bool @t323 @t351)))) % 0.35/0.61 (assume @p422 (forall @t342 (= (tptp.hAPP_p393069232l_bool (tptp.cOMBB_675860798_pname @t323 @t328) @t341) (tptp.hAPP_b589554111l_bool @t323 @t348)))) % 0.35/0.61 (assume @p423 (forall @t342 (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBS_350070575l_bool @t323 @t328) @t341) (tptp.hAPP_bool_bool (tptp.hAPP_f1476298914l_bool @t323 @t341) @t351)))) % 0.35/0.61 (assume @p424 (forall @t342 (= (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool @t323) @t328) @t341) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p425 (forall @t342 (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool (tptp.cOMBC_1732670874l_bool @t323) @t328) @t341) (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f1631501043l_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p426 (forall @t342 (= (tptp.hAPP_f198738859l_bool (tptp.cOMBB_338059395a_bool @t323 @t328) @t341) (tptp.hAPP_b589554111l_bool @t323 @t349)))) % 0.35/0.61 (assume @p427 (forall @t342 (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool (tptp.cOMBC_1693257480l_bool @t323) @t328) @t341) (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p428 (forall @t342 (= (tptp.hAPP_f1748468828l_bool (tptp.cOMBB_444170502t_bool @t323 @t328) @t341) (tptp.hAPP_b589554111l_bool @t323 @t350)))) % 0.35/0.61 (assume @p429 (forall @t342 (= (tptp.hAPP_f1476298914l_bool (tptp.cOMBB_2095475776e_bool @t323 @t328) @t341) (tptp.hAPP_b589554111l_bool @t323 @t351)))) % 0.35/0.61 (assume @p430 (forall @t342 (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool @t323) @t328) @t341) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p431 (forall @t342 (= (tptp.hAPP_fun_a_bool_bool (tptp.hAPP_f2117159681l_bool (tptp.cOMBC_1880041174l_bool @t323) @t328) @t341) (tptp.hAPP_f621171935l_bool (tptp.hAPP_f285962445l_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p432 (forall @t342 (= (tptp.hAPP_f54304608l_bool (tptp.hAPP_f1246832597l_bool (tptp.cOMBC_1245412066l_bool @t323) @t328) @t341) (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1951378235l_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p433 (forall @t342 (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f559147733l_bool (tptp.cOMBC_1988546018l_bool @t323) @t328) @t341) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p434 (forall @t342 (= (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool (tptp.cOMBC_331553030l_bool @t323) @t328) @t341) (tptp.hAPP_f621171935l_bool (tptp.hAPP_f1434722111l_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p435 (forall @t342 (= (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool (tptp.cOMBC_595898202l_bool @t323) @t328) @t341) (tptp.hAPP_f1637334154l_bool (tptp.hAPP_f1772781669l_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p436 (forall @t342 (= (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool @t323) @t328) @t341) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p437 (forall @t342 (= (tptp.hAPP_f292226953l_bool (tptp.hAPP_f1050622307l_bool (tptp.cOMBC_636888218l_bool @t323) @t328) @t341) (tptp.hAPP_f292226953l_bool (tptp.hAPP_f1050622307l_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p438 (forall @t342 (= (tptp.hAPP_f937997336l_bool (tptp.hAPP_f760187903l_bool (tptp.cOMBC_1269652216l_bool @t323) @t328) @t341) (tptp.hAPP_f937997336l_bool (tptp.hAPP_f760187903l_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p439 (forall @t342 (= (tptp.hAPP_f389811538l_bool (tptp.hAPP_f1759205631l_bool (tptp.cOMBC_336095980l_bool @t323) @t328) @t341) (tptp.hAPP_f389811538l_bool (tptp.hAPP_f1759205631l_bool @t323 @t341) @t328)))) % 0.35/0.61 (assume @p440 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname tptp.u))) % 0.35/0.61 (assume @p441 @t353) % 0.35/0.61 (assume @p442 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t355) @t354))) % 0.35/0.61 (assume @p443 (= (tptp.hAPP_fun_a_bool_nat tptp.finite_card_a tptp.g) (tptp.hAPP_nat_nat (tptp.minus_minus_nat @t354) @t355))) % 0.35/0.61 (assume @p444 @t356) % 0.35/0.61 (assume @p445 (not (tptp.hBOOL (tptp.hAPP_fun_a_bool_bool @t358 tptp.g)))) % 0.35/0.61 (assume @p446 (not @t359)) % 0.35/0.61 (assume @p447 true) % 0.35/0.61 (step @p448 :rule aci_norm :args ((= (or false @t121 @t302) @t360))) % 0.35/0.61 (step @p449 :rule refl :args (@t302)) % 0.35/0.61 (step @p450 :rule refl :args (@t121)) % 0.35/0.61 (step @p451 :rule evaluate :args ((not true))) % 0.35/0.61 (step @p452 :rule eq-refl :args (@t219)) % 0.35/0.61 (step @p453 :rule cong :premises (@p452) :args (@t361)) % 0.35/0.61 (step @p454 :rule trans :premises (@p453 @p451)) % 0.35/0.61 (step @p455 :rule nary_cong :premises (@p454 @p450 @p449) :args (@t362)) % 0.35/0.61 (step @p456 :rule trans :premises (@p455 @p448)) % 0.35/0.61 (step @p457 :rule cong :premises (@p456) :args ((forall @t363 @t362))) % 0.35/0.61 (step @p458 :rule quant-var-elim-eq :args ((= (forall @t366 @t365) @t362))) % 0.35/0.61 (step @p459 :rule aci_norm :args ((= @t367 @t365))) % 0.35/0.61 (step @p460 :rule cong :premises (@p459) :args (@t368)) % 0.35/0.61 (step @p461 :rule trans :premises (@p460 @p458)) % 0.35/0.61 (step @p462 :rule cong :premises (@p461) :args (@t369)) % 0.35/0.61 (step @p463 :rule quant-merge-prenex :args ((= @t369 @t370))) % 0.35/0.61 (step @p464 :rule symm :premises (@p463)) % 0.35/0.61 (step @p465 :rule quant_var_reordering :args ((= (forall @t221 @t367) @t370))) % 0.35/0.61 (step @p466 :rule trans :premises (@p465 @p464 @p462)) % 0.35/0.61 (step @p467 :rule trans :premises (@p466 @p457)) % 0.35/0.61 (step @p468 :rule aci_norm :args ((= (or @t364 (or @t121 @t217)) @t367))) % 0.35/0.61 (step @p469 :rule bool-impl-elim :args (@t120 @t217)) % 0.35/0.61 (step @p470 :rule refl :args (@t364)) % 0.35/0.61 (step @p471 :rule nary_cong :premises (@p470 @p469) :args ((or @t364 @t218))) % 0.35/0.61 (step @p472 :rule trans :premises (@p471 @p468)) % 0.35/0.61 (step @p473 :rule bool-impl-elim :args (@t220 @t218)) % 0.35/0.61 (step @p474 :rule trans :premises (@p473 @p472)) % 0.35/0.61 (step @p475 :rule cong :premises (@p474) :args (@t222)) % 0.35/0.61 (step @p476 :rule trans :premises (@p475 @p467)) % 0.35/0.61 (step @p477 :rule eq_resolve :premises (@p258 @p476)) % 0.35/0.61 (step @p478 :rule instantiate :premises (@p353) :args ((@list @t357 tptp.g @t352))) % 0.35/0.61 (step @p479 :rule cnf_equiv_pos2 :args (@t373)) % 0.35/0.61 (step @p480 :rule reordering :premises (@p479) :args ((or @t359 @t374 (not @t373)))) % 0.35/0.61 (step @p481 :rule chain_m_resolution :premises (@p480 @p446 @p478) :args (@t374 @t375 (@list @t359 @t373))) % 0.35/0.61 (step @p482 :rule cnf_and_neg :args (@t372)) % 0.35/0.61 (step @p483 :rule reordering :premises (@p482) :args ((or (not @t353) @t372 @t376))) % 0.35/0.61 (step @p484 :rule chain_m_resolution :premises (@p483 @p441 @p481) :args (@t376 @t377 (@list @t353 @t372))) % 0.35/0.61 (step @p485 :rule cnf_or_pos :args (@t379)) % 0.35/0.61 (step @p486 :rule reordering :premises (@p485) :args ((or @t378 @t371 @t380))) % 0.35/0.61 (step @p487 :rule chain_m_resolution :premises (@p486 @p444 @p484) :args (@t380 @t377 (@list @t356 @t371))) % 0.35/0.61 (assume-push @p494 @t381) % 0.35/0.61 (step @p489 :rule instantiate :premises (@p477) :args ((@list tptp.u tptp.mgt_call tptp.pn))) % 0.35/0.61 (step-pop @p495 :rule scope :premises (@p489)) % 0.35/0.61 (step @p490 :rule process_scope :premises (@p495) :args (@t379)) % 0.35/0.61 (step @p492 :rule implies_elim :premises (@p490)) % 0.35/0.61 (step @p493 false :rule chain_m_resolution :premises (@p492 @p487 @p477) :args (false @t375 (@list @t379 @t381))) % 0.35/0.61 ) % 0.35/0.61 % SZS output end Proof % 0.35/0.61 % cvc5 exiting %------------------------------------------------------------------------------