0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n029.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Fri Sep 5 18:25:52 EDT 2025 0.12/0.33 % CPUTime : 0.46/0.62 %----Proving TH0 0.47/0.94 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... 0.47/0.94 % SZS status Theorem 0.47/0.94 % SZS output start Proof 0.47/0.94 ( 0.47/0.94 (declare-type tptp.product_prod_a_a ()) 0.47/0.94 (declare-type tptp.nat ()) 0.47/0.94 (declare-type tptp.set_se1612935105at_nat ()) 0.47/0.94 (declare-type tptp.a ()) 0.47/0.94 (declare-type tptp.product_prod_nat_nat ()) 0.47/0.94 (declare-type tptp.set_Pr1986765409at_nat ()) 0.47/0.94 (declare-type tptp.pair_p1914262621t_unit ()) 0.47/0.94 (declare-type tptp.product_unit ()) 0.47/0.94 (declare-type tptp.set_Product_prod_a_a ()) 0.47/0.94 (declare-type tptp.set_Pr1948701895od_a_a ()) 0.47/0.94 (declare-type tptp.set_Pr548851891_a_nat ()) 0.47/0.94 (declare-type tptp.pair_p125712459t_unit ()) 0.47/0.94 (declare-type tptp.set_nat ()) 0.47/0.94 (declare-type tptp.set_a ()) 0.47/0.94 (declare-type tptp.set_se1596668135od_a_a ()) 0.47/0.94 (declare-type tptp.set_Pr967348953_nat_a ()) 0.47/0.94 (declare-type tptp.set_set_a ()) 0.47/0.94 (declare-type tptp.set_Pr1689873822_a_a_a ()) 0.47/0.94 (declare-type tptp.set_set_nat ()) 0.47/0.94 (declare-type tptp.pair_p1765063010t_unit ()) 0.47/0.94 (declare-type tptp.set_Pr339609346od_a_a ()) 0.47/0.94 (declare-type tptp.pair_p1593840546t_unit ()) 0.47/0.94 (declare-type tptp.pair_p2041852168t_unit ()) 0.47/0.94 (declare-type tptp.set_Pr1295299783od_a_a ()) 0.47/0.94 (declare-type tptp.set_se958357159od_a_a ()) 0.47/0.94 (declare-type tptp.set_Pr1490359111at_nat ()) 0.47/0.94 (declare-type tptp.produc1572603623od_a_a ()) 0.47/0.94 (declare-type tptp.set_Pr1746169692at_nat ()) 0.47/0.94 (declare-type tptp.set_Pr681306928od_a_a ()) 0.47/0.94 (declare-type tptp.set_Pr7688842at_nat ()) 0.47/0.94 (declare-type tptp.set_Pr894832732_a_nat ()) 0.47/0.94 (declare-const tptp.member449909584od_a_a (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a Bool)) 0.47/0.94 (declare-const tptp.pair_p1047056820t_unit (-> tptp.pair_p125712459t_unit tptp.set_a)) 0.47/0.94 (declare-const tptp.finite_finite_a (-> tptp.set_a Bool)) 0.47/0.94 (declare-const tptp.pair_p133601421t_unit (-> tptp.pair_p125712459t_unit tptp.set_Product_prod_a_a)) 0.47/0.94 (declare-const tptp.finite179568208od_a_a (-> tptp.set_Product_prod_a_a Bool)) 0.47/0.94 (declare-const tptp.pair_p68905728raph_a (-> tptp.pair_p125712459t_unit Bool)) 0.47/0.94 (declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool)) 0.47/0.94 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) 0.47/0.94 (declare-const tptp.ord_le841296385at_nat (-> tptp.set_Pr1986765409at_nat tptp.set_Pr1986765409at_nat Bool)) 0.47/0.94 (declare-const tptp.finite772653738at_nat (-> tptp.set_Pr1986765409at_nat Bool)) 0.47/0.94 (declare-const tptp.collec1606769740at_nat (-> (-> tptp.set_Pr1986765409at_nat Bool) tptp.set_se1612935105at_nat)) 0.47/0.94 (declare-const tptp.collect_set_a (-> (-> tptp.set_a Bool) tptp.set_set_a)) 0.47/0.94 (declare-const tptp.pair_p715279805t_unit (-> tptp.pair_p1914262621t_unit tptp.set_Pr1986765409at_nat)) 0.47/0.94 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) 0.47/0.94 (declare-const tptp.pair_p1677060310t_unit (-> tptp.pair_p1914262621t_unit tptp.set_nat)) 0.47/0.94 (declare-const tptp.pair_p1515597646ph_nat (-> tptp.pair_p1914262621t_unit Bool)) 0.47/0.94 (declare-const tptp.pair_p1783210148t_unit (-> tptp.pair_p1765063010t_unit tptp.set_Pr1948701895od_a_a)) 0.47/0.94 (declare-const tptp.finite1664988688od_a_a (-> tptp.set_Pr1948701895od_a_a Bool)) 0.47/0.94 (declare-const tptp.pair_p447552203t_unit (-> tptp.pair_p1765063010t_unit tptp.set_Product_prod_a_a)) 0.47/0.94 (declare-const tptp.pair_p1652294923t_unit (-> tptp.pair_p1593840546t_unit tptp.set_Pr1948701895od_a_a)) 0.47/0.94 (declare-const tptp.pair_p1559300324t_unit (-> tptp.pair_p1593840546t_unit tptp.set_Pr1295299783od_a_a)) 0.47/0.94 (declare-const tptp.finite256329232od_a_a (-> tptp.set_Pr1295299783od_a_a Bool)) 0.47/0.94 (declare-const tptp.pair_p646030121od_a_a (-> tptp.pair_p1765063010t_unit Bool)) 0.47/0.94 (declare-const tptp.collect_set_nat (-> (-> tptp.set_nat Bool) tptp.set_set_nat)) 0.47/0.94 (declare-const tptp.product_Sigma_a_a (-> tptp.set_a (-> tptp.a tptp.set_a) tptp.set_Product_prod_a_a)) 0.47/0.94 (declare-const tptp.collec183727474od_a_a (-> (-> tptp.set_Product_prod_a_a Bool) tptp.set_se1596668135od_a_a)) 0.47/0.94 (declare-const tptp.pair_p210955889t_unit (-> tptp.pair_p2041852168t_unit tptp.set_Pr1986765409at_nat)) 0.47/0.94 (declare-const tptp.pair_p806300874t_unit (-> tptp.pair_p2041852168t_unit tptp.set_Pr1490359111at_nat)) 0.47/0.94 (declare-const tptp.finite48957584at_nat (-> tptp.set_Pr1490359111at_nat Bool)) 0.47/0.94 (declare-const tptp.ord_le456379495od_a_a (-> tptp.set_Pr1948701895od_a_a tptp.set_Pr1948701895od_a_a Bool)) 0.47/0.94 (declare-const tptp.collec453062450od_a_a (-> (-> tptp.set_Pr1948701895od_a_a Bool) tptp.set_se958357159od_a_a)) 0.47/0.94 (declare-const tptp.pair_p159207083od_a_a (-> tptp.pair_p1593840546t_unit Bool)) 0.47/0.94 (declare-const tptp.product_Pair_a_a (-> tptp.a tptp.a tptp.product_prod_a_a)) 0.47/0.94 (declare-const tptp.finite_card_a (-> tptp.set_a tptp.nat)) 0.47/0.94 (declare-const tptp.produc1182842125od_a_a (-> tptp.set_nat (-> tptp.nat tptp.set_Product_prod_a_a) tptp.set_Pr339609346od_a_a)) 0.47/0.94 (declare-const tptp.member_set_nat (-> tptp.set_nat tptp.set_set_nat Bool)) 0.47/0.94 (declare-const tptp.produc292491723at_nat (-> tptp.set_a (-> tptp.a tptp.set_Pr1986765409at_nat) tptp.set_Pr7688842at_nat)) 0.47/0.94 (declare-const tptp.produc1833107820_a_a_o (-> (-> tptp.a tptp.a Bool) tptp.product_prod_a_a Bool)) 0.47/0.94 (declare-const tptp.finite_finite_set_a (-> tptp.set_set_a Bool)) 0.47/0.94 (declare-const tptp.pair_p69470259t_unit (-> tptp.pair_p1914262621t_unit tptp.product_unit)) 0.47/0.94 (declare-const tptp.ord_le492294332_a_nat (-> tptp.set_Pr894832732_a_nat tptp.set_Pr894832732_a_nat Bool)) 0.47/0.94 (declare-const tptp.finite277291581at_nat (-> tptp.set_Pr1746169692at_nat Bool)) 0.47/0.94 (declare-const tptp.produc931712687_a_nat (-> tptp.set_Product_prod_a_a (-> tptp.product_prod_a_a tptp.set_nat) tptp.set_Pr894832732_a_nat)) 0.47/0.94 (declare-const tptp.product_Sigma_a_nat (-> tptp.set_a (-> tptp.a tptp.set_nat) tptp.set_Pr548851891_a_nat)) 0.47/0.94 (declare-const tptp.finite676513017od_a_a (-> tptp.set_Pr681306928od_a_a Bool)) 0.47/0.94 (declare-const tptp.finite942416723at_nat (-> tptp.set_Pr7688842at_nat Bool)) 0.47/0.94 (declare-const tptp.member_set_a (-> tptp.set_a tptp.set_set_a Bool)) 0.47/0.94 (declare-const tptp.finite1808550458_nat_a (-> tptp.set_Pr967348953_nat_a Bool)) 0.47/0.94 (declare-const tptp.ord_le677315902_a_a_a (-> tptp.set_Pr1689873822_a_a_a tptp.set_Pr1689873822_a_a_a Bool)) 0.47/0.94 (declare-const tptp.product_Sigma_nat_a (-> tptp.set_nat (-> tptp.nat tptp.set_a) tptp.set_Pr967348953_nat_a)) 0.47/0.94 (declare-const tptp.finite1457549322at_nat (-> tptp.set_se1612935105at_nat Bool)) 0.47/0.94 (declare-const tptp.produc520147185od_a_a (-> tptp.set_a (-> tptp.a tptp.set_Product_prod_a_a) tptp.set_Pr681306928od_a_a)) 0.47/0.94 (declare-const tptp.pair_p1167410509t_unit (-> tptp.set_nat tptp.set_Pr1986765409at_nat tptp.product_unit tptp.pair_p1914262621t_unit)) 0.47/0.94 (declare-const tptp.bot_bot_set_nat tptp.set_nat) 0.47/0.94 (declare-const tptp.bot_bo2131659635od_a_a tptp.set_Product_prod_a_a) 0.47/0.94 (declare-const tptp.pair_p398687508t_unit (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a tptp.product_unit tptp.pair_p1765063010t_unit)) 0.47/0.94 (declare-const tptp.ord_le1816232656od_a_a (-> tptp.set_Pr681306928od_a_a tptp.set_Pr681306928od_a_a Bool)) 0.47/0.94 (declare-const tptp.produc45129834at_nat (-> tptp.set_nat (-> tptp.nat tptp.set_nat) tptp.set_Pr1986765409at_nat)) 0.47/0.94 (declare-const tptp.bot_bot_set_a tptp.set_a) 0.47/0.94 (declare-const tptp.finite1297454819od_a_a (-> tptp.set_Pr339609346od_a_a Bool)) 0.47/0.94 (declare-const tptp.produc894163943at_nat (-> tptp.set_nat (-> tptp.nat tptp.set_Pr1986765409at_nat) tptp.set_Pr1746169692at_nat)) 0.47/0.94 (declare-const tptp.pair_p1984658862t_unit (-> tptp.pair_p1765063010t_unit tptp.product_unit)) 0.47/0.94 (declare-const tptp.finite2012248349et_nat (-> tptp.set_set_nat Bool)) 0.47/0.94 (declare-const tptp.collec1635618130od_a_a (-> (-> tptp.produc1572603623od_a_a Bool) tptp.set_Pr1948701895od_a_a)) 0.47/0.94 (declare-const tptp.g tptp.pair_p125712459t_unit) 0.47/0.94 (declare-const tptp.n tptp.nat) 0.47/0.94 (declare-const tptp.finite1743148308_a_nat (-> tptp.set_Pr548851891_a_nat Bool)) 0.47/0.94 (declare-const tptp.member1838126896od_a_a (-> tptp.set_Product_prod_a_a tptp.set_se1596668135od_a_a Bool)) 0.47/0.94 (declare-const tptp.pair_p752841413at_nat (-> tptp.pair_p2041852168t_unit Bool)) 0.47/0.94 (declare-const tptp.produc1282482655_a_a_a (-> tptp.set_Product_prod_a_a (-> tptp.product_prod_a_a tptp.set_a) tptp.set_Pr1689873822_a_a_a)) 0.47/0.94 (declare-const tptp.finite1145471536od_a_a (-> tptp.set_se1596668135od_a_a Bool)) 0.47/0.94 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) 0.47/0.94 (declare-const tptp.ord_le2073555219_a_nat (-> tptp.set_Pr548851891_a_nat tptp.set_Pr548851891_a_nat Bool)) 0.47/0.94 (declare-const tptp.ord_le2084554594od_a_a (-> tptp.set_Pr339609346od_a_a tptp.set_Pr339609346od_a_a Bool)) 0.47/0.94 (declare-const tptp.finite1837575485_a_nat (-> tptp.set_Pr894832732_a_nat Bool)) 0.47/0.94 (declare-const tptp.member701585322at_nat (-> tptp.product_prod_nat_nat tptp.set_Pr1986765409at_nat Bool)) 0.47/0.94 (declare-const tptp.pair_p1621517565t_unit (-> tptp.set_a tptp.set_Product_prod_a_a tptp.product_unit tptp.pair_p125712459t_unit)) 0.47/0.94 (declare-const tptp.collec645855634od_a_a (-> (-> tptp.product_prod_a_a Bool) tptp.set_Product_prod_a_a)) 0.47/0.94 (declare-const tptp.ord_le1347718902_a_a_o (-> (-> tptp.product_prod_a_a Bool) (-> tptp.product_prod_a_a Bool) Bool)) 0.47/0.94 (declare-const tptp.ord_le344568633_nat_a (-> tptp.set_Pr967348953_nat_a tptp.set_Pr967348953_nat_a Bool)) 0.47/0.94 (declare-const tptp.finite323969008od_a_a (-> tptp.set_se958357159od_a_a Bool)) 0.47/0.94 (declare-const tptp.ord_less_eq_nat_o (-> (-> tptp.nat Bool) (-> tptp.nat Bool) Bool)) 0.47/0.94 (declare-const tptp.pair_p1896222615t_unit (-> tptp.pair_p125712459t_unit tptp.product_unit)) 0.47/0.94 (declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.set_nat)) 0.47/0.94 (declare-const tptp.bot_bo2130386637at_nat tptp.set_Pr1986765409at_nat) 0.47/0.94 (declare-const tptp.collec7649004at_nat (-> (-> tptp.product_prod_nat_nat Bool) tptp.set_Pr1986765409at_nat)) 0.47/0.94 (declare-const tptp.ord_less_eq_a_o (-> (-> tptp.a Bool) (-> tptp.a Bool) Bool)) 0.47/0.94 (declare-const tptp.finite1919032935_a_a_a (-> tptp.set_Pr1689873822_a_a_a Bool)) 0.47/0.94 (declare-const tptp.produc304751368od_a_a (-> tptp.set_Product_prod_a_a (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a) tptp.set_Pr1948701895od_a_a)) 0.47/0.94 (define tptp.ord_le1824328871od_a_a () (let ((_let_1 (@var "B2" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "T2" tptp.product_prod_a_a))) (let ((_let_3 (_ tptp.member449909584od_a_a _let_2))) (let ((_let_4 (@var "A5" tptp.set_Product_prod_a_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) 0.47/0.94 (define tptp.pair_p1864019935ioms_a () (let ((_let_1 (@var "G" tptp.pair_p125712459t_unit))) (lambda (@list _let_1) (and (_ tptp.finite179568208od_a_a (_ tptp.pair_p133601421t_unit _let_1)) (_ tptp.finite_finite_a (_ tptp.pair_p1047056820t_unit _let_1)))))) 0.47/0.94 (define tptp.pair_p1802376898raph_a () (let ((_let_1 (@var "G" tptp.pair_p125712459t_unit))) (lambda (@list _let_1) (and (_ tptp.pair_p1864019935ioms_a _let_1) (_ tptp.pair_p68905728raph_a _let_1))))) 0.47/0.94 (define tptp.ord_less_eq_set_nat () (let ((_let_1 (@var "B2" tptp.set_nat))) (let ((_let_2 (@var "T2" tptp.nat))) (let ((_let_3 (_ tptp.member_nat _let_2))) (let ((_let_4 (@var "A5" tptp.set_nat))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) 0.47/0.94 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B2" tptp.set_a))) (let ((_let_2 (@var "T2" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@var "A5" tptp.set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) 0.47/0.94 (define tptp.finite361944167at_nat () (let ((_let_1 (@var "A5" tptp.set_Pr1986765409at_nat))) (let ((_let_2 (@var "X5" tptp.set_Pr1986765409at_nat))) (lambda (@list _let_1) (_ tptp.collec1606769740at_nat (lambda (@list _let_2) (and (_ tptp.finite772653738at_nat _let_2) (_ (_ tptp.ord_le841296385at_nat _let_2) _let_1)))))))) 0.47/0.94 (define tptp.finite_Fpow_a () (let ((_let_1 (@var "A5" tptp.set_a))) (let ((_let_2 (@var "X5" tptp.set_a))) (lambda (@list _let_1) (_ tptp.collect_set_a (lambda (@list _let_2) (and (_ tptp.finite_finite_a _let_2) (_ (_ tptp.ord_less_eq_set_a _let_2) _let_1)))))))) 0.47/0.94 (define tptp.finite_finite_nat () (let ((_let_1 (@var "M" tptp.nat))) (let ((_let_2 (@var "X2" tptp.nat))) (let ((_let_3 (@var "N2" tptp.set_nat))) (lambda (@list _let_3) (exists (@list _let_1) (forall (@list _let_2) (=> (_ (_ tptp.member_nat _let_2) _let_3) (_ (_ tptp.ord_less_eq_nat _let_2) _let_1))))))))) 0.47/0.94 (define tptp.pair_p1027063983ms_nat () (let ((_let_1 (@var "G" tptp.pair_p1914262621t_unit))) (lambda (@list _let_1) (and (_ tptp.finite_finite_nat (_ tptp.pair_p1677060310t_unit _let_1)) (_ tptp.finite772653738at_nat (_ tptp.pair_p715279805t_unit _let_1)))))) 0.47/0.94 (define tptp.pair_p128415500ph_nat () (let ((_let_1 (@var "G" tptp.pair_p1914262621t_unit))) (lambda (@list _let_1) (and (_ tptp.pair_p1027063983ms_nat _let_1) (_ tptp.pair_p1515597646ph_nat _let_1))))) 0.47/0.94 (define tptp.pair_p504738056od_a_a () (let ((_let_1 (@var "G" tptp.pair_p1765063010t_unit))) (lambda (@list _let_1) (and (_ tptp.finite179568208od_a_a (_ tptp.pair_p447552203t_unit _let_1)) (_ tptp.finite1664988688od_a_a (_ tptp.pair_p1783210148t_unit _let_1)))))) 0.47/0.94 (define tptp.pair_p1906342088od_a_a () (let ((_let_1 (@var "G" tptp.pair_p1593840546t_unit))) (lambda (@list _let_1) (and (_ tptp.finite256329232od_a_a (_ tptp.pair_p1559300324t_unit _let_1)) (_ tptp.finite1664988688od_a_a (_ tptp.pair_p1652294923t_unit _let_1)))))) 0.47/0.94 (define tptp.pair_p374947051od_a_a () (let ((_let_1 (@var "G" tptp.pair_p1765063010t_unit))) (lambda (@list _let_1) (and (_ tptp.pair_p504738056od_a_a _let_1) (_ tptp.pair_p646030121od_a_a _let_1))))) 0.47/0.94 (define tptp.finite_Fpow_nat () (let ((_let_1 (@var "A5" tptp.set_nat))) (let ((_let_2 (@var "X5" tptp.set_nat))) (lambda (@list _let_1) (_ tptp.collect_set_nat (lambda (@list _let_2) (and (_ tptp.finite_finite_nat _let_2) (_ (_ tptp.ord_less_eq_set_nat _let_2) _let_1)))))))) 0.47/0.94 (define tptp.product_product_a_a () (let ((_let_1 (@var "B2" tptp.set_a))) (let ((_let_2 (@var "A5" tptp.set_a))) (lambda (@list _let_2 _let_1) (_ (_ tptp.product_Sigma_a_a _let_2) (lambda (@list (@var "Uu" tptp.a)) _let_1)))))) 0.47/0.94 (define tptp.finite351630733od_a_a () (let ((_let_1 (@var "A5" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "X5" tptp.set_Product_prod_a_a))) (lambda (@list _let_1) (_ tptp.collec183727474od_a_a (lambda (@list _let_2) (and (_ tptp.finite179568208od_a_a _let_2) (_ (_ tptp.ord_le1824328871od_a_a _let_2) _let_1)))))))) 0.47/0.94 (define tptp.pair_p56914274at_nat () (let ((_let_1 (@var "G" tptp.pair_p2041852168t_unit))) (lambda (@list _let_1) (and (_ tptp.finite48957584at_nat (_ tptp.pair_p806300874t_unit _let_1)) (_ tptp.finite772653738at_nat (_ tptp.pair_p210955889t_unit _let_1)))))) 0.47/0.94 (define tptp.finite702915405od_a_a () (let ((_let_1 (@var "A5" tptp.set_Pr1948701895od_a_a))) (let ((_let_2 (@var "X5" tptp.set_Pr1948701895od_a_a))) (lambda (@list _let_1) (_ tptp.collec453062450od_a_a (lambda (@list _let_2) (and (_ tptp.finite1664988688od_a_a _let_2) (_ (_ tptp.ord_le456379495od_a_a _let_2) _let_1)))))))) 0.47/0.94 (define @t1 () (@var "X_1" tptp.produc1572603623od_a_a)) 0.47/0.94 (define @t2 () (@var "P" (-> tptp.produc1572603623od_a_a Bool))) 0.47/0.94 (define @t3 () (_ tptp.finite1664988688od_a_a (_ tptp.collec1635618130od_a_a @t2))) 0.47/0.94 (define @t4 () (@var "X2" tptp.product_prod_a_a)) 0.47/0.94 (define @t5 () (@var "P" (-> tptp.product_prod_a_a Bool))) 0.47/0.94 (define @t6 () (_ @t5 @t4)) 0.47/0.94 (define @t7 () (@list @t4)) 0.47/0.94 (define @t8 () (forall @t7 (not @t6))) 0.47/0.94 (define @t9 () (_ tptp.collec645855634od_a_a @t5)) 0.47/0.94 (define @t10 () (@list @t5)) 0.47/0.94 (define @t11 () (@var "A" tptp.set_a)) 0.47/0.94 (define @t12 () (= @t11 tptp.bot_bot_set_a)) 0.47/0.94 (define @t13 () (_ tptp.ord_less_eq_set_a @t11)) 0.47/0.94 (define @t14 () (@list @t11)) 0.47/0.94 (define @t15 () (@var "C2" tptp.nat)) 0.47/0.94 (define @t16 () (@var "F" (-> tptp.nat tptp.set_a))) 0.47/0.94 (define @t17 () (@var "A2" tptp.set_a)) 0.47/0.94 (define @t18 () (_ tptp.ord_less_eq_set_a @t17)) 0.47/0.94 (define @t19 () (@var "Y4" tptp.nat)) 0.47/0.94 (define @t20 () (@var "X" tptp.nat)) 0.47/0.94 (define @t21 () (_ tptp.ord_less_eq_nat @t20)) 0.47/0.94 (define @t22 () (_ @t21 @t19)) 0.47/0.94 (define @t23 () (@list @t20 @t19)) 0.47/0.94 (define @t24 () (forall @t23 (=> @t22 (_ (_ tptp.ord_less_eq_set_a (_ @t16 @t20)) (_ @t16 @t19))))) 0.47/0.94 (define @t25 () (@var "B3" tptp.nat)) 0.47/0.94 (define @t26 () (_ tptp.ord_less_eq_nat @t25)) 0.47/0.94 (define @t27 () (_ @t26 @t15)) 0.47/0.94 (define @t28 () (=> @t27 (=> @t24 (_ @t18 (_ @t16 @t15))))) 0.47/0.94 (define @t29 () (_ @t16 @t25)) 0.47/0.94 (define @t30 () (@list @t17 @t16 @t25 @t15)) 0.47/0.94 (define @t31 () (@var "B" (-> tptp.nat tptp.set_Pr1986765409at_nat))) 0.47/0.94 (define @t32 () (@var "A" tptp.set_nat)) 0.47/0.94 (define @t33 () (_ tptp.produc894163943at_nat @t32)) 0.47/0.94 (define @t34 () (@var "A3" tptp.nat)) 0.47/0.94 (define @t35 () (_ (_ tptp.member_nat @t34) @t32)) 0.47/0.94 (define @t36 () (@list @t34)) 0.47/0.94 (define @t37 () (_ tptp.finite_finite_nat @t32)) 0.47/0.94 (define @t38 () (@var "Parcs" tptp.set_Pr1986765409at_nat)) 0.47/0.94 (define @t39 () (@var "More" tptp.product_unit)) 0.47/0.94 (define @t40 () (@var "Pverts" tptp.set_nat)) 0.47/0.94 (define @t41 () (_ (_ (_ tptp.pair_p1167410509t_unit @t40) @t38) @t39)) 0.47/0.94 (define @t42 () (@list @t40 @t38 @t39)) 0.47/0.94 (define @t43 () (@var "B" tptp.set_a)) 0.47/0.94 (define @t44 () (@list (@var "Uu" tptp.a))) 0.47/0.94 (define @t45 () (_ tptp.product_Sigma_a_a @t11)) 0.47/0.94 (define @t46 () (_ @t45 (lambda @t44 @t43))) 0.47/0.94 (define @t47 () (@var "X3" tptp.product_prod_a_a)) 0.47/0.94 (define @t48 () (_ tptp.member449909584od_a_a @t47)) 0.47/0.94 (define @t49 () (@var "C2" tptp.set_a)) 0.47/0.94 (define @t50 () (@var "F" (-> tptp.set_a tptp.nat))) 0.47/0.94 (define @t51 () (@var "A2" tptp.nat)) 0.47/0.94 (define @t52 () (_ tptp.ord_less_eq_nat @t51)) 0.47/0.94 (define @t53 () (@var "Y4" tptp.set_a)) 0.47/0.94 (define @t54 () (@var "X" tptp.set_a)) 0.47/0.94 (define @t55 () (_ tptp.ord_less_eq_set_a @t54)) 0.47/0.94 (define @t56 () (_ @t55 @t53)) 0.47/0.94 (define @t57 () (@list @t54 @t53)) 0.47/0.94 (define @t58 () (forall @t57 (=> @t56 (_ (_ tptp.ord_less_eq_nat (_ @t50 @t54)) (_ @t50 @t53))))) 0.47/0.94 (define @t59 () (@var "B3" tptp.set_a)) 0.47/0.94 (define @t60 () (_ tptp.ord_less_eq_set_a @t59)) 0.47/0.94 (define @t61 () (_ @t60 @t49)) 0.47/0.94 (define @t62 () (=> @t61 (=> @t58 (_ @t52 (_ @t50 @t49))))) 0.47/0.94 (define @t63 () (_ @t50 @t59)) 0.47/0.94 (define @t64 () (@list @t51 @t50 @t59 @t49)) 0.47/0.94 (define @t65 () (_ tptp.ord_less_eq_set_nat @t32)) 0.47/0.94 (define @t66 () (@list @t32)) 0.47/0.94 (define @t67 () (_ tptp.pair_p1047056820t_unit tptp.g)) 0.47/0.94 (define @t68 () (lambda @t44 @t67)) 0.47/0.94 (define @t69 () (_ tptp.product_Sigma_a_a @t67)) 0.47/0.94 (define @t70 () (_ @t69 @t68)) 0.47/0.94 (define @t71 () (_ tptp.pair_p133601421t_unit tptp.g)) 0.47/0.94 (define @t72 () (@var "R3" tptp.pair_p1765063010t_unit)) 0.47/0.94 (define @t73 () (@var "R2" tptp.pair_p1765063010t_unit)) 0.47/0.94 (define @t74 () (_ tptp.pair_p1984658862t_unit @t73)) 0.47/0.94 (define @t75 () (_ tptp.pair_p1783210148t_unit @t73)) 0.47/0.94 (define @t76 () (_ tptp.pair_p447552203t_unit @t73)) 0.47/0.94 (define @t77 () (@list (@var "Uu" tptp.product_prod_a_a))) 0.47/0.94 (define @t78 () (@var "A" tptp.set_Product_prod_a_a)) 0.47/0.94 (define @t79 () (_ tptp.produc1282482655_a_a_a @t78)) 0.47/0.94 (define @t80 () (_ tptp.finite1919032935_a_a_a (_ @t79 (lambda @t77 @t43)))) 0.47/0.94 (define @t81 () (_ tptp.finite_finite_a @t43)) 0.47/0.94 (define @t82 () (_ tptp.finite179568208od_a_a @t78)) 0.47/0.94 (define @t83 () (@list @t78 @t43)) 0.47/0.94 (define @t84 () (@var "G2" tptp.pair_p125712459t_unit)) 0.47/0.94 (define @t85 () (_ tptp.pair_p1802376898raph_a @t84)) 0.47/0.94 (define @t86 () (_ tptp.pair_p1864019935ioms_a @t84)) 0.47/0.94 (define @t87 () (@list @t84)) 0.47/0.94 (define @t88 () (@list (@var "Uu" tptp.nat))) 0.47/0.94 (define @t89 () (_ tptp.product_Sigma_nat_a @t32)) 0.47/0.94 (define @t90 () (_ tptp.finite1808550458_nat_a (_ @t89 (lambda @t88 @t43)))) 0.47/0.94 (define @t91 () (@list @t32 @t43)) 0.47/0.94 (define @t92 () (@var "B" tptp.set_Product_prod_a_a)) 0.47/0.94 (define @t93 () (_ tptp.produc520147185od_a_a @t11)) 0.47/0.94 (define @t94 () (_ tptp.finite676513017od_a_a (_ @t93 (lambda @t44 @t92)))) 0.47/0.94 (define @t95 () (_ tptp.finite179568208od_a_a @t92)) 0.47/0.94 (define @t96 () (_ tptp.finite_finite_a @t11)) 0.47/0.94 (define @t97 () (@list @t11 @t92)) 0.47/0.94 (define @t98 () (_ tptp.finite179568208od_a_a (_ tptp.pair_p133601421t_unit @t84))) 0.47/0.94 (define @t99 () (@var "B" tptp.set_nat)) 0.47/0.94 (define @t100 () (_ tptp.member_nat @t15)) 0.47/0.94 (define @t101 () (_ @t65 @t99)) 0.47/0.94 (define @t102 () (@var "T" tptp.set_a)) 0.47/0.94 (define @t103 () (@var "S" tptp.set_a)) 0.47/0.94 (define @t104 () (@var "Q" (-> tptp.nat Bool))) 0.47/0.94 (define @t105 () (_ tptp.collect_nat @t104)) 0.47/0.94 (define @t106 () (@var "P" (-> tptp.nat Bool))) 0.47/0.94 (define @t107 () (_ tptp.collect_nat @t106)) 0.47/0.94 (define @t108 () (_ (_ tptp.ord_less_eq_set_nat @t107) @t105)) 0.47/0.94 (define @t109 () (_ @t104 @t20)) 0.47/0.94 (define @t110 () (_ @t106 @t20)) 0.47/0.94 (define @t111 () (@list @t20)) 0.47/0.94 (define @t112 () (@list @t106 @t104)) 0.47/0.94 (define @t113 () (@var "X" tptp.product_prod_a_a)) 0.47/0.94 (define @t114 () (@var "A4" tptp.nat)) 0.47/0.94 (define @t115 () (@var "R" (-> tptp.nat tptp.product_prod_a_a Bool))) 0.47/0.94 (define @t116 () (_ (_ tptp.member_nat @t114) @t32)) 0.47/0.94 (define @t117 () (@list @t114)) 0.47/0.94 (define @t118 () (_ tptp.member449909584od_a_a @t113)) 0.47/0.94 (define @t119 () (_ @t118 @t92)) 0.47/0.94 (define @t120 () (@list @t113)) 0.47/0.94 (define @t121 () (@var "Xa" tptp.product_prod_a_a)) 0.47/0.94 (define @t122 () (_ (_ tptp.member449909584od_a_a @t121) @t92)) 0.47/0.94 (define @t123 () (@list @t121)) 0.47/0.94 (define @t124 () (_ tptp.member_nat @t20)) 0.47/0.94 (define @t125 () (_ @t124 @t32)) 0.47/0.94 (define @t126 () (not @t37)) 0.47/0.94 (define @t127 () (_ @t13 @t43)) 0.47/0.94 (define @t128 () (@var "C" tptp.set_Product_prod_a_a)) 0.47/0.94 (define @t129 () (lambda @t44 @t128)) 0.47/0.94 (define @t130 () (_ @t48 @t128)) 0.47/0.94 (define @t131 () (@var "C2" tptp.set_nat)) 0.47/0.94 (define @t132 () (@var "F" (-> tptp.set_nat tptp.nat))) 0.47/0.94 (define @t133 () (@var "Y4" tptp.set_nat)) 0.47/0.94 (define @t134 () (@var "X" tptp.set_nat)) 0.47/0.94 (define @t135 () (_ tptp.ord_less_eq_set_nat @t134)) 0.47/0.94 (define @t136 () (_ @t135 @t133)) 0.47/0.94 (define @t137 () (@list @t134 @t133)) 0.47/0.94 (define @t138 () (forall @t137 (=> @t136 (_ (_ tptp.ord_less_eq_nat (_ @t132 @t134)) (_ @t132 @t133))))) 0.47/0.94 (define @t139 () (@var "B3" tptp.set_nat)) 0.47/0.94 (define @t140 () (_ tptp.ord_less_eq_set_nat @t139)) 0.47/0.94 (define @t141 () (_ @t140 @t131)) 0.47/0.94 (define @t142 () (=> @t141 (=> @t138 (_ @t52 (_ @t132 @t131))))) 0.47/0.94 (define @t143 () (_ @t132 @t139)) 0.47/0.94 (define @t144 () (@list @t51 @t132 @t139 @t131)) 0.47/0.94 (define @t145 () (_ tptp.ord_le1824328871od_a_a @t78)) 0.47/0.94 (define @t146 () (_ @t145 @t92)) 0.47/0.94 (define @t147 () (@var "C" tptp.set_nat)) 0.47/0.94 (define @t148 () (lambda @t77 @t147)) 0.47/0.94 (define @t149 () (_ tptp.produc931712687_a_nat @t78)) 0.47/0.94 (define @t150 () (@var "X3" tptp.nat)) 0.47/0.94 (define @t151 () (_ tptp.member_nat @t150)) 0.47/0.94 (define @t152 () (_ @t151 @t147)) 0.47/0.94 (define @t153 () (@var "Y2" tptp.set_nat)) 0.47/0.94 (define @t154 () (@var "X3" tptp.set_nat)) 0.47/0.94 (define @t155 () (= @t154 @t153)) 0.47/0.94 (define @t156 () (_ tptp.ord_less_eq_set_nat @t153)) 0.47/0.94 (define @t157 () (_ @t156 @t154)) 0.47/0.94 (define @t158 () (_ tptp.ord_less_eq_set_nat @t154)) 0.47/0.94 (define @t159 () (_ @t158 @t153)) 0.47/0.94 (define @t160 () (@list @t154 @t153)) 0.47/0.94 (define @t161 () (@var "B3" tptp.set_Product_prod_a_a)) 0.47/0.94 (define @t162 () (@var "A2" tptp.set_Product_prod_a_a)) 0.47/0.94 (define @t163 () (= @t162 @t161)) 0.47/0.94 (define @t164 () (_ tptp.ord_le1824328871od_a_a @t162)) 0.47/0.94 (define @t165 () (_ @t164 @t161)) 0.47/0.94 (define @t166 () (_ tptp.ord_le1824328871od_a_a @t161)) 0.47/0.94 (define @t167 () (_ @t166 @t162)) 0.47/0.94 (define @t168 () (@var "B" (-> tptp.nat tptp.set_Product_prod_a_a))) 0.47/0.94 (define @t169 () (_ tptp.produc1182842125od_a_a @t32)) 0.47/0.94 (define @t170 () (_ @t169 @t168)) 0.47/0.94 (define @t171 () (_ @t65 @t147)) 0.47/0.94 (define @t172 () (_ tptp.ord_less_eq_set_nat @t99)) 0.47/0.94 (define @t173 () (_ tptp.product_Sigma_a_nat @t11)) 0.47/0.94 (define @t174 () (_ tptp.finite1743148308_a_nat (_ @t173 (lambda @t44 @t99)))) 0.47/0.94 (define @t175 () (_ tptp.finite_finite_nat @t99)) 0.47/0.94 (define @t176 () (not @t175)) 0.47/0.94 (define @t177 () (not @t96)) 0.47/0.94 (define @t178 () (@list @t11 @t99)) 0.47/0.94 (define @t179 () (_ @t124 @t99)) 0.47/0.94 (define @t180 () (@list @t32 @t99)) 0.47/0.94 (define @t181 () (@var "B" (-> tptp.a tptp.set_Pr1986765409at_nat))) 0.47/0.94 (define @t182 () (_ tptp.produc292491723at_nat @t11)) 0.47/0.94 (define @t183 () (@var "A3" tptp.a)) 0.47/0.94 (define @t184 () (_ (_ tptp.member_a @t183) @t11)) 0.47/0.94 (define @t185 () (@list @t183)) 0.47/0.94 (define @t186 () (= @t17 @t59)) 0.47/0.94 (define @t187 () (_ @t18 @t59)) 0.47/0.94 (define @t188 () (_ @t60 @t17)) 0.47/0.94 (define @t189 () (@var "Q" (-> tptp.product_prod_a_a Bool))) 0.47/0.94 (define @t190 () (_ tptp.collec645855634od_a_a @t189)) 0.47/0.94 (define @t191 () (_ @t189 @t4)) 0.47/0.94 (define @t192 () (_ tptp.collec645855634od_a_a (lambda @t7 (and @t6 @t191)))) 0.47/0.94 (define @t193 () (@var "B2" tptp.set_nat)) 0.47/0.94 (define @t194 () (_ tptp.ord_less_eq_set_nat @t193)) 0.47/0.94 (define @t195 () (@var "F" (-> tptp.set_a tptp.set_nat))) 0.47/0.94 (define @t196 () (@var "A2" tptp.set_nat)) 0.47/0.94 (define @t197 () (_ tptp.ord_less_eq_set_nat @t196)) 0.47/0.94 (define @t198 () (forall @t57 (=> @t56 (_ (_ tptp.ord_less_eq_set_nat (_ @t195 @t54)) (_ @t195 @t53))))) 0.47/0.94 (define @t199 () (=> @t61 (=> @t198 (_ @t197 (_ @t195 @t49))))) 0.47/0.94 (define @t200 () (_ @t195 @t59)) 0.47/0.94 (define @t201 () (@list @t196 @t195 @t59 @t49)) 0.47/0.94 (define @t202 () (@var "K" tptp.nat)) 0.47/0.94 (define @t203 () (@var "N" tptp.nat)) 0.47/0.94 (define @t204 () (@list @t203)) 0.47/0.94 (define @t205 () (@var "G2" tptp.pair_p1914262621t_unit)) 0.47/0.94 (define @t206 () (_ tptp.finite772653738at_nat (_ tptp.pair_p715279805t_unit @t205))) 0.47/0.94 (define @t207 () (_ tptp.pair_p128415500ph_nat @t205)) 0.47/0.94 (define @t208 () (@list @t205)) 0.47/0.94 (define @t209 () (@var "B2" tptp.set_Product_prod_a_a)) 0.47/0.94 (define @t210 () (_ tptp.ord_le1824328871od_a_a @t209)) 0.47/0.94 (define @t211 () (@list @t209)) 0.47/0.94 (define @t212 () (@list @t78)) 0.47/0.94 (define @t213 () (@var "X4" tptp.set_a)) 0.47/0.94 (define @t214 () (@var "X2" tptp.a)) 0.47/0.94 (define @t215 () (_ tptp.member_a @t214)) 0.47/0.94 (define @t216 () (_ @t215 @t213)) 0.47/0.94 (define @t217 () (@var "P" (-> tptp.a Bool))) 0.47/0.94 (define @t218 () (_ @t217 @t214)) 0.47/0.94 (define @t219 () (@list @t214)) 0.47/0.94 (define @t220 () (_ tptp.member449909584od_a_a @t4)) 0.47/0.94 (define @t221 () (_ @t220 @t92)) 0.47/0.94 (define @t222 () (_ @t220 @t78)) 0.47/0.94 (define @t223 () (_ tptp.ord_le1824328871od_a_a @t92)) 0.47/0.94 (define @t224 () (_ @t223 @t78)) 0.47/0.94 (define @t225 () (_ (_ tptp.ord_le1824328871od_a_a @t9) @t190)) 0.47/0.94 (define @t226 () (@list @t5 @t189)) 0.47/0.94 (define @t227 () (@var "A4" tptp.a)) 0.47/0.94 (define @t228 () (_ (_ tptp.member_a @t227) @t11)) 0.47/0.94 (define @t229 () (@var "X" tptp.a)) 0.47/0.94 (define @t230 () (@var "R" (-> tptp.a tptp.a Bool))) 0.47/0.94 (define @t231 () (@list @t227)) 0.47/0.94 (define @t232 () (_ tptp.member_a @t229)) 0.47/0.94 (define @t233 () (_ @t232 @t43)) 0.47/0.94 (define @t234 () (@list @t229)) 0.47/0.94 (define @t235 () (@var "Xa" tptp.a)) 0.47/0.94 (define @t236 () (_ (_ tptp.member_a @t235) @t43)) 0.47/0.94 (define @t237 () (@list @t235)) 0.47/0.94 (define @t238 () (_ @t232 @t11)) 0.47/0.94 (define @t239 () (lambda @t88 @t128)) 0.47/0.94 (define @t240 () (@var "X2" tptp.nat)) 0.47/0.94 (define @t241 () (_ @t106 @t240)) 0.47/0.94 (define @t242 () (_ tptp.member_nat @t240)) 0.47/0.94 (define @t243 () (_ @t242 @t99)) 0.47/0.94 (define @t244 () (@list @t240)) 0.47/0.94 (define @t245 () (_ @t242 @t32)) 0.47/0.94 (define @t246 () (_ tptp.collect_nat (lambda @t244 (and @t241 @t245)))) 0.47/0.94 (define @t247 () (_ @t172 @t32)) 0.47/0.94 (define @t248 () (= @t43 tptp.bot_bot_set_a)) 0.47/0.94 (define @t249 () (= @t78 tptp.bot_bo2131659635od_a_a)) 0.47/0.94 (define @t250 () (@var "B4" tptp.nat)) 0.47/0.94 (define @t251 () (_ (_ tptp.ord_less_eq_nat @t114) @t250)) 0.47/0.94 (define @t252 () (_ (_ tptp.ord_less_eq_nat @t250) @t114)) 0.47/0.94 (define @t253 () (@list @t114 @t250)) 0.47/0.94 (define @t254 () (@var "Z" tptp.nat)) 0.47/0.94 (define @t255 () (@var "Y" tptp.nat)) 0.47/0.94 (define @t256 () (lambda (@list @t255 @t254) (= @t255 @t254))) 0.47/0.94 (define @t257 () (_ tptp.pair_p1027063983ms_nat @t205)) 0.47/0.94 (define @t258 () (@var "B4" tptp.set_nat)) 0.47/0.94 (define @t259 () (@var "A4" tptp.set_nat)) 0.47/0.94 (define @t260 () (@var "Z" tptp.set_nat)) 0.47/0.94 (define @t261 () (@var "Y" tptp.set_nat)) 0.47/0.94 (define @t262 () (lambda (@list @t261 @t260) (= @t261 @t260))) 0.47/0.94 (define @t263 () (@var "X2" tptp.set_Product_prod_a_a)) 0.47/0.94 (define @t264 () (@var "Y3" tptp.set_Product_prod_a_a)) 0.47/0.94 (define @t265 () (@var "Z" tptp.set_Product_prod_a_a)) 0.47/0.94 (define @t266 () (@var "Y" tptp.set_Product_prod_a_a)) 0.47/0.94 (define @t267 () (lambda (@list @t266 @t265) (= @t266 @t265))) 0.47/0.94 (define @t268 () (@var "X_1" tptp.product_prod_a_a)) 0.47/0.94 (define @t269 () (_ tptp.finite179568208od_a_a @t9)) 0.47/0.94 (define @t270 () (_ tptp.finite1837575485_a_nat (_ @t149 (lambda @t77 @t99)))) 0.47/0.94 (define @t271 () (not @t82)) 0.47/0.94 (define @t272 () (@list @t78 @t99)) 0.47/0.94 (define @t273 () (_ @t106 @t150)) 0.47/0.94 (define @t274 () (@var "X4" tptp.set_nat)) 0.47/0.94 (define @t275 () (_ @t242 @t274)) 0.47/0.94 (define @t276 () (@var "Z3" tptp.set_nat)) 0.47/0.94 (define @t277 () (= @t11 @t43)) 0.47/0.94 (define @t278 () (_ tptp.ord_less_eq_set_a @t43)) 0.47/0.94 (define @t279 () (_ @t278 @t11)) 0.47/0.94 (define @t280 () (@list @t11 @t43)) 0.47/0.94 (define @t281 () (@var "Xa" tptp.set_nat)) 0.47/0.94 (define @t282 () (= @t134 @t281)) 0.47/0.94 (define @t283 () (@var "A" tptp.set_set_nat)) 0.47/0.94 (define @t284 () (_ (_ tptp.member_set_nat @t281) @t283)) 0.47/0.94 (define @t285 () (@list @t281)) 0.47/0.94 (define @t286 () (_ (_ tptp.member_set_nat @t134) @t283)) 0.47/0.94 (define @t287 () (@list @t134)) 0.47/0.94 (define @t288 () (_ (_ tptp.member_set_nat @t196) @t283)) 0.47/0.94 (define @t289 () (_ tptp.finite2012248349et_nat @t283)) 0.47/0.94 (define @t290 () (@list @t283 @t196)) 0.47/0.94 (define @t291 () (@var "Pverts" tptp.set_a)) 0.47/0.94 (define @t292 () (@var "Parcs" tptp.set_Product_prod_a_a)) 0.47/0.94 (define @t293 () (_ (_ (_ tptp.pair_p1621517565t_unit @t291) @t292) @t39)) 0.47/0.94 (define @t294 () (@list @t291 @t292 @t39)) 0.47/0.94 (define @t295 () (@var "P" (-> tptp.nat tptp.nat Bool))) 0.47/0.94 (define @t296 () (@var "B5" tptp.nat)) 0.47/0.94 (define @t297 () (_ (_ @t295 @t34) @t296)) 0.47/0.94 (define @t298 () (@list @t34 @t296)) 0.47/0.94 (define @t299 () (@var "G2" tptp.pair_p2041852168t_unit)) 0.47/0.94 (define @t300 () (_ tptp.finite772653738at_nat (_ tptp.pair_p210955889t_unit @t299))) 0.47/0.94 (define @t301 () (@list @t299)) 0.47/0.94 (define @t302 () (@var "C2" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t303 () (_ @t164 @t302)) 0.47/0.95 (define @t304 () (_ @t166 @t302)) 0.47/0.95 (define @t305 () (=> @t304 @t303)) 0.47/0.95 (define @t306 () (@list @t162 @t161 @t302)) 0.47/0.95 (define @t307 () (_ tptp.finite179568208od_a_a @t71)) 0.47/0.95 (define @t308 () (not @t307)) 0.47/0.95 (define @t309 () (@var "R" (-> tptp.a tptp.nat Bool))) 0.47/0.95 (define @t310 () (@var "Xa" tptp.nat)) 0.47/0.95 (define @t311 () (_ tptp.member_nat @t310)) 0.47/0.95 (define @t312 () (_ @t311 @t99)) 0.47/0.95 (define @t313 () (@list @t310)) 0.47/0.95 (define @t314 () (_ tptp.collec645855634od_a_a (lambda @t7 (and @t6 @t222)))) 0.47/0.95 (define @t315 () (@var "Y2" tptp.set_a)) 0.47/0.95 (define @t316 () (@var "X3" tptp.set_a)) 0.47/0.95 (define @t317 () (= @t316 @t315)) 0.47/0.95 (define @t318 () (_ tptp.ord_less_eq_set_a @t315)) 0.47/0.95 (define @t319 () (_ @t318 @t316)) 0.47/0.95 (define @t320 () (_ tptp.ord_less_eq_set_a @t316)) 0.47/0.95 (define @t321 () (_ @t320 @t315)) 0.47/0.95 (define @t322 () (@list @t316 @t315)) 0.47/0.95 (define @t323 () (@var "F" (-> tptp.set_nat tptp.set_nat))) 0.47/0.95 (define @t324 () (forall @t137 (=> @t136 (_ (_ tptp.ord_less_eq_set_nat (_ @t323 @t134)) (_ @t323 @t133))))) 0.47/0.95 (define @t325 () (=> @t324 (_ (_ tptp.ord_less_eq_set_nat (_ @t323 @t196)) @t131))) 0.47/0.95 (define @t326 () (_ @t323 @t139)) 0.47/0.95 (define @t327 () (_ @t197 @t139)) 0.47/0.95 (define @t328 () (@list @t196 @t139 @t323 @t131)) 0.47/0.95 (define @t329 () (@var "A5" tptp.set_a)) 0.47/0.95 (define @t330 () (@var "B2" tptp.set_a)) 0.47/0.95 (define @t331 () (_ tptp.ord_less_eq_set_a @t330)) 0.47/0.95 (define @t332 () (@list @t329 @t330)) 0.47/0.95 (define @t333 () (@var "Z" tptp.set_a)) 0.47/0.95 (define @t334 () (@var "Y" tptp.set_a)) 0.47/0.95 (define @t335 () (lambda (@list @t334 @t333) (= @t334 @t333))) 0.47/0.95 (define @t336 () (@var "D" (-> tptp.a tptp.set_a))) 0.47/0.95 (define @t337 () (_ tptp.product_Sigma_a_a @t43)) 0.47/0.95 (define @t338 () (@var "C" (-> tptp.a tptp.set_a))) 0.47/0.95 (define @t339 () (_ @t336 @t229)) 0.47/0.95 (define @t340 () (@var "B" (-> tptp.nat tptp.set_nat))) 0.47/0.95 (define @t341 () (_ tptp.produc45129834at_nat @t32)) 0.47/0.95 (define @t342 () (_ @t341 @t340)) 0.47/0.95 (define @t343 () (@var "Q" (-> tptp.produc1572603623od_a_a Bool))) 0.47/0.95 (define @t344 () (_ tptp.finite1664988688od_a_a (_ tptp.collec1635618130od_a_a @t343))) 0.47/0.95 (define @t345 () (@var "X2" tptp.produc1572603623od_a_a)) 0.47/0.95 (define @t346 () (_ @t2 @t345)) 0.47/0.95 (define @t347 () (_ @t343 @t345)) 0.47/0.95 (define @t348 () (@list @t345)) 0.47/0.95 (define @t349 () (@list @t2 @t343)) 0.47/0.95 (define @t350 () (_ tptp.finite772653738at_nat (_ @t341 (lambda @t88 @t99)))) 0.47/0.95 (define @t351 () (= @t32 @t99)) 0.47/0.95 (define @t352 () (= @t196 @t139)) 0.47/0.95 (define @t353 () (_ @t140 @t196)) 0.47/0.95 (define @t354 () (@var "A" tptp.set_Pr1948701895od_a_a)) 0.47/0.95 (define @t355 () (_ tptp.finite1664988688od_a_a @t354)) 0.47/0.95 (define @t356 () (@var "B" tptp.set_Pr1948701895od_a_a)) 0.47/0.95 (define @t357 () (_ tptp.finite1664988688od_a_a @t356)) 0.47/0.95 (define @t358 () (_ (_ tptp.ord_le456379495od_a_a @t354) @t356)) 0.47/0.95 (define @t359 () (_ @t220 @t209)) 0.47/0.95 (define @t360 () (@var "A5" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t361 () (_ @t220 @t360)) 0.47/0.95 (define @t362 () (@list @t360 @t209)) 0.47/0.95 (define @t363 () (@var "Xa" tptp.set_a)) 0.47/0.95 (define @t364 () (= @t54 @t363)) 0.47/0.95 (define @t365 () (@var "A" tptp.set_set_a)) 0.47/0.95 (define @t366 () (_ (_ tptp.member_set_a @t363) @t365)) 0.47/0.95 (define @t367 () (@list @t363)) 0.47/0.95 (define @t368 () (_ (_ tptp.member_set_a @t54) @t365)) 0.47/0.95 (define @t369 () (@list @t54)) 0.47/0.95 (define @t370 () (_ (_ tptp.member_set_a @t17) @t365)) 0.47/0.95 (define @t371 () (_ tptp.finite_finite_set_a @t365)) 0.47/0.95 (define @t372 () (@list @t365 @t17)) 0.47/0.95 (define @t373 () (@var "F" (-> tptp.nat tptp.set_nat))) 0.47/0.95 (define @t374 () (forall @t23 (=> @t22 (_ (_ tptp.ord_less_eq_set_nat (_ @t373 @t20)) (_ @t373 @t19))))) 0.47/0.95 (define @t375 () (=> @t27 (=> @t374 (_ @t197 (_ @t373 @t15))))) 0.47/0.95 (define @t376 () (_ @t373 @t25)) 0.47/0.95 (define @t377 () (@list @t196 @t373 @t25 @t15)) 0.47/0.95 (define @t378 () (@var "Parcs" tptp.set_Pr1948701895od_a_a)) 0.47/0.95 (define @t379 () (@var "Pverts" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t380 () (_ (_ (_ tptp.pair_p398687508t_unit @t379) @t378) @t39)) 0.47/0.95 (define @t381 () (@list @t379 @t378 @t39)) 0.47/0.95 (define @t382 () (_ @t118 @t78)) 0.47/0.95 (define @t383 () (@list @t78 @t92)) 0.47/0.95 (define @t384 () (@var "B" (-> tptp.a tptp.set_a))) 0.47/0.95 (define @t385 () (_ @t45 @t384)) 0.47/0.95 (define @t386 () (@var "X3" tptp.a)) 0.47/0.95 (define @t387 () (_ tptp.member_a @t386)) 0.47/0.95 (define @t388 () (@var "F" (-> tptp.nat tptp.nat))) 0.47/0.95 (define @t389 () (forall @t23 (=> @t22 (_ (_ tptp.ord_less_eq_nat (_ @t388 @t20)) (_ @t388 @t19))))) 0.47/0.95 (define @t390 () (=> @t27 (=> @t389 (_ @t52 (_ @t388 @t15))))) 0.47/0.95 (define @t391 () (_ @t388 @t25)) 0.47/0.95 (define @t392 () (@list @t51 @t388 @t25 @t15)) 0.47/0.95 (define @t393 () (_ tptp.finite_finite_a (_ tptp.pair_p1047056820t_unit @t84))) 0.47/0.95 (define @t394 () (@var "C" tptp.set_a)) 0.47/0.95 (define @t395 () (lambda @t44 @t394)) 0.47/0.95 (define @t396 () (_ @t337 @t395)) 0.47/0.95 (define @t397 () (_ @t45 @t395)) 0.47/0.95 (define @t398 () (_ @t387 @t394)) 0.47/0.95 (define @t399 () (@list @t386 @t394 @t11 @t43)) 0.47/0.95 (define @t400 () (@var "A4" tptp.product_prod_a_a)) 0.47/0.95 (define @t401 () (@var "R" (-> tptp.product_prod_a_a tptp.a Bool))) 0.47/0.95 (define @t402 () (_ (_ tptp.member449909584od_a_a @t400) @t78)) 0.47/0.95 (define @t403 () (@list @t400)) 0.47/0.95 (define @t404 () (@var "X4" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t405 () (_ @t220 @t404)) 0.47/0.95 (define @t406 () (@var "D" (-> tptp.nat tptp.set_a))) 0.47/0.95 (define @t407 () (@var "B" (-> tptp.nat tptp.set_a))) 0.47/0.95 (define @t408 () (_ @t89 @t407)) 0.47/0.95 (define @t409 () (@var "Xa" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t410 () (@var "X" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t411 () (= @t410 @t409)) 0.47/0.95 (define @t412 () (@var "A" tptp.set_se1596668135od_a_a)) 0.47/0.95 (define @t413 () (_ (_ tptp.member1838126896od_a_a @t409) @t412)) 0.47/0.95 (define @t414 () (@list @t409)) 0.47/0.95 (define @t415 () (_ tptp.ord_le1824328871od_a_a @t410)) 0.47/0.95 (define @t416 () (_ (_ tptp.member1838126896od_a_a @t410) @t412)) 0.47/0.95 (define @t417 () (@list @t410)) 0.47/0.95 (define @t418 () (_ (_ tptp.member1838126896od_a_a @t162) @t412)) 0.47/0.95 (define @t419 () (_ tptp.finite1145471536od_a_a @t412)) 0.47/0.95 (define @t420 () (@list @t412 @t162)) 0.47/0.95 (define @t421 () (= @t20 @t310)) 0.47/0.95 (define @t422 () (_ @t311 @t32)) 0.47/0.95 (define @t423 () (_ tptp.member_nat @t51)) 0.47/0.95 (define @t424 () (_ @t423 @t32)) 0.47/0.95 (define @t425 () (@list @t32 @t51)) 0.47/0.95 (define @t426 () (@var "F" (-> tptp.set_nat tptp.set_a))) 0.47/0.95 (define @t427 () (forall @t137 (=> @t136 (_ (_ tptp.ord_less_eq_set_a (_ @t426 @t134)) (_ @t426 @t133))))) 0.47/0.95 (define @t428 () (=> @t427 (_ (_ tptp.ord_less_eq_set_a (_ @t426 @t196)) @t49))) 0.47/0.95 (define @t429 () (_ @t426 @t139)) 0.47/0.95 (define @t430 () (@list @t196 @t139 @t426 @t49)) 0.47/0.95 (define @t431 () (@var "Z3" tptp.set_a)) 0.47/0.95 (define @t432 () (@var "Y3" tptp.nat)) 0.47/0.95 (define @t433 () (_ tptp.ord_less_eq_nat @t240)) 0.47/0.95 (define @t434 () (@var "B2" tptp.set_Pr1948701895od_a_a)) 0.47/0.95 (define @t435 () (@var "D" (-> tptp.nat tptp.set_Product_prod_a_a))) 0.47/0.95 (define @t436 () (@var "C2" tptp.product_prod_a_a)) 0.47/0.95 (define @t437 () (_ tptp.member449909584od_a_a @t436)) 0.47/0.95 (define @t438 () (_ @t18 @t49)) 0.47/0.95 (define @t439 () (=> @t61 @t438)) 0.47/0.95 (define @t440 () (@list @t17 @t59 @t49)) 0.47/0.95 (define @t441 () (_ @t52 @t15)) 0.47/0.95 (define @t442 () (_ @t52 @t25)) 0.47/0.95 (define @t443 () (@list @t51 @t25 @t15)) 0.47/0.95 (define @t444 () (_ tptp.finite_finite_nat (_ tptp.pair_p1677060310t_unit @t205))) 0.47/0.95 (define @t445 () (@var "Q" (-> tptp.a Bool))) 0.47/0.95 (define @t446 () (_ @t445 @t214)) 0.47/0.95 (define @t447 () (_ tptp.collect_a @t445)) 0.47/0.95 (define @t448 () (_ tptp.collect_a @t217)) 0.47/0.95 (define @t449 () (_ (_ tptp.ord_less_eq_set_a @t448) @t447)) 0.47/0.95 (define @t450 () (@list @t217 @t445)) 0.47/0.95 (define @t451 () (@var "T" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t452 () (_ tptp.finite179568208od_a_a @t451)) 0.47/0.95 (define @t453 () (not @t452)) 0.47/0.95 (define @t454 () (@var "S" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t455 () (_ tptp.finite179568208od_a_a @t454)) 0.47/0.95 (define @t456 () (not @t455)) 0.47/0.95 (define @t457 () (=> @t456 @t453)) 0.47/0.95 (define @t458 () (=> (_ (_ tptp.ord_le1824328871od_a_a @t454) @t451) @t457)) 0.47/0.95 (define @t459 () (@list @t454 @t451)) 0.47/0.95 (define @t460 () (forall @t459 @t458)) 0.47/0.95 (define @t461 () (@var "B" (-> tptp.product_prod_a_a tptp.set_a))) 0.47/0.95 (define @t462 () (_ @t79 @t461)) 0.47/0.95 (define @t463 () (@var "A3" tptp.product_prod_a_a)) 0.47/0.95 (define @t464 () (_ (_ tptp.member449909584od_a_a @t463) @t78)) 0.47/0.95 (define @t465 () (@list @t463)) 0.47/0.95 (define @t466 () (@var "B" tptp.set_Pr1986765409at_nat)) 0.47/0.95 (define @t467 () (_ tptp.finite277291581at_nat (_ @t33 (lambda @t88 @t466)))) 0.47/0.95 (define @t468 () (_ tptp.finite772653738at_nat @t466)) 0.47/0.95 (define @t469 () (@list @t32 @t466)) 0.47/0.95 (define @t470 () (@var "G2" tptp.pair_p1765063010t_unit)) 0.47/0.95 (define @t471 () (_ tptp.finite1664988688od_a_a (_ tptp.pair_p1783210148t_unit @t470))) 0.47/0.95 (define @t472 () (_ tptp.pair_p374947051od_a_a @t470)) 0.47/0.95 (define @t473 () (@list @t470)) 0.47/0.95 (define @t474 () (@var "D" (-> tptp.product_prod_a_a tptp.set_a))) 0.47/0.95 (define @t475 () (_ @t145 @t128)) 0.47/0.95 (define @t476 () (@var "S" tptp.set_nat)) 0.47/0.95 (define @t477 () (@var "M" tptp.nat)) 0.47/0.95 (define @t478 () (@list @t477)) 0.47/0.95 (define @t479 () (not (_ tptp.finite_finite_nat @t476))) 0.47/0.95 (define @t480 () (@var "B" (-> tptp.a tptp.set_nat))) 0.47/0.95 (define @t481 () (_ @t173 @t480)) 0.47/0.95 (define @t482 () (_ @t215 @t11)) 0.47/0.95 (define @t483 () (_ @t215 @t43)) 0.47/0.95 (define @t484 () (_ @t217 @t229)) 0.47/0.95 (define @t485 () (_ @t445 @t229)) 0.47/0.95 (define @t486 () (= @t78 @t92)) 0.47/0.95 (define @t487 () (_ tptp.finite179568208od_a_a @t190)) 0.47/0.95 (define @t488 () (@var "G2" tptp.pair_p1593840546t_unit)) 0.47/0.95 (define @t489 () (_ tptp.finite1664988688od_a_a (_ tptp.pair_p1652294923t_unit @t488))) 0.47/0.95 (define @t490 () (@list @t488)) 0.47/0.95 (define @t491 () (_ tptp.finite_finite_a @t448)) 0.47/0.95 (define @t492 () (_ tptp.finite_finite_a @t447)) 0.47/0.95 (define @t493 () (@var "F" (-> tptp.set_a tptp.set_a))) 0.47/0.95 (define @t494 () (forall @t57 (=> @t56 (_ (_ tptp.ord_less_eq_set_a (_ @t493 @t54)) (_ @t493 @t53))))) 0.47/0.95 (define @t495 () (=> @t61 (=> @t494 (_ @t18 (_ @t493 @t49))))) 0.47/0.95 (define @t496 () (_ @t493 @t59)) 0.47/0.95 (define @t497 () (@list @t17 @t493 @t59 @t49)) 0.47/0.95 (define @t498 () (forall @t244 (not @t241))) 0.47/0.95 (define @t499 () (@list @t106)) 0.47/0.95 (define @t500 () (= @t51 @t25)) 0.47/0.95 (define @t501 () (_ @t26 @t51)) 0.47/0.95 (define @t502 () (@var "Y2" tptp.nat)) 0.47/0.95 (define @t503 () (_ tptp.ord_less_eq_nat @t502)) 0.47/0.95 (define @t504 () (_ @t503 @t150)) 0.47/0.95 (define @t505 () (_ tptp.ord_less_eq_nat @t150)) 0.47/0.95 (define @t506 () (_ @t505 @t502)) 0.47/0.95 (define @t507 () (not @t506)) 0.47/0.95 (define @t508 () (@list @t150 @t502)) 0.47/0.95 (define @t509 () (_ @t104 @t240)) 0.47/0.95 (define @t510 () (@var "D" (-> tptp.a tptp.set_Product_prod_a_a))) 0.47/0.95 (define @t511 () (@var "B" (-> tptp.a tptp.set_Product_prod_a_a))) 0.47/0.95 (define @t512 () (_ @t93 @t511)) 0.47/0.95 (define @t513 () (_ @t13 @t394)) 0.47/0.95 (define @t514 () (= @t32 tptp.bot_bot_set_nat)) 0.47/0.95 (define @t515 () (=> @t374 (_ (_ tptp.ord_less_eq_set_nat (_ @t373 @t51)) @t131))) 0.47/0.95 (define @t516 () (@list @t51 @t25 @t373 @t131)) 0.47/0.95 (define @t517 () (= @t92 tptp.bot_bo2131659635od_a_a)) 0.47/0.95 (define @t518 () (_ tptp.finite1297454819od_a_a (_ @t169 (lambda @t88 @t92)))) 0.47/0.95 (define @t519 () (@list @t32 @t92)) 0.47/0.95 (define @t520 () (@var "T" tptp.set_Pr1948701895od_a_a)) 0.47/0.95 (define @t521 () (@var "S" tptp.set_Pr1948701895od_a_a)) 0.47/0.95 (define @t522 () (@var "R" tptp.set_nat)) 0.47/0.95 (define @t523 () (_ tptp.collect_a (lambda @t219 (and @t482 @t218)))) 0.47/0.95 (define @t524 () (not @t81)) 0.47/0.95 (define @t525 () (_ @t189 @t113)) 0.47/0.95 (define @t526 () (_ @t5 @t113)) 0.47/0.95 (define @t527 () (_ tptp.finite179568208od_a_a (_ tptp.pair_p447552203t_unit @t470))) 0.47/0.95 (define @t528 () (_ @t197 @t131)) 0.47/0.95 (define @t529 () (@list @t196 @t139 @t131)) 0.47/0.95 (define @t530 () (@var "R3" tptp.pair_p125712459t_unit)) 0.47/0.95 (define @t531 () (@var "R2" tptp.pair_p125712459t_unit)) 0.47/0.95 (define @t532 () (_ tptp.pair_p1896222615t_unit @t531)) 0.47/0.95 (define @t533 () (_ tptp.pair_p133601421t_unit @t531)) 0.47/0.95 (define @t534 () (_ tptp.pair_p1047056820t_unit @t531)) 0.47/0.95 (define @t535 () (@var "A4" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t536 () (@var "B4" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t537 () (=> @t58 (_ (_ tptp.ord_less_eq_nat (_ @t50 @t17)) @t15))) 0.47/0.95 (define @t538 () (@list @t17 @t59 @t50 @t15)) 0.47/0.95 (define @t539 () (@var "D" (-> tptp.a tptp.set_nat))) 0.47/0.95 (define @t540 () (_ tptp.finite179568208od_a_a @t46)) 0.47/0.95 (define @t541 () (_ tptp.ord_less_eq_set_nat @t131)) 0.47/0.95 (define @t542 () (@var "U2" tptp.nat)) 0.47/0.95 (define @t543 () (@var "N3" tptp.nat)) 0.47/0.95 (define @t544 () (= @t99 tptp.bot_bot_set_nat)) 0.47/0.95 (define @t545 () (= @t466 tptp.bot_bo2130386637at_nat)) 0.47/0.95 (define @t546 () (_ tptp.finite942416723at_nat (_ @t182 (lambda @t44 @t466)))) 0.47/0.95 (define @t547 () (@list @t11 @t466)) 0.47/0.95 (define @t548 () (not @t468)) 0.47/0.95 (define @t549 () (_ tptp.finite_finite_nat @t105)) 0.47/0.95 (define @t550 () (_ tptp.finite_finite_nat @t107)) 0.47/0.95 (define @t551 () (@var "Q" (-> tptp.product_prod_nat_nat Bool))) 0.47/0.95 (define @t552 () (_ tptp.finite772653738at_nat (_ tptp.collec7649004at_nat @t551))) 0.47/0.95 (define @t553 () (@var "P" (-> tptp.product_prod_nat_nat Bool))) 0.47/0.95 (define @t554 () (_ tptp.finite772653738at_nat (_ tptp.collec7649004at_nat @t553))) 0.47/0.95 (define @t555 () (@var "X2" tptp.product_prod_nat_nat)) 0.47/0.95 (define @t556 () (_ @t553 @t555)) 0.47/0.95 (define @t557 () (_ @t551 @t555)) 0.47/0.95 (define @t558 () (@list @t555)) 0.47/0.95 (define @t559 () (@list @t553 @t551)) 0.47/0.95 (define @t560 () (@var "R" tptp.set_a)) 0.47/0.95 (define @t561 () (@var "T" tptp.set_nat)) 0.47/0.95 (define @t562 () (@var "D" (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a))) 0.47/0.95 (define @t563 () (@var "B" (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a))) 0.47/0.95 (define @t564 () (_ tptp.produc304751368od_a_a @t78)) 0.47/0.95 (define @t565 () (=> @t494 (_ (_ tptp.ord_less_eq_set_a (_ @t493 @t17)) @t49))) 0.47/0.95 (define @t566 () (@list @t17 @t59 @t493 @t49)) 0.47/0.95 (define @t567 () (@var "F" (-> tptp.set_Product_prod_a_a tptp.nat))) 0.47/0.95 (define @t568 () (@var "Y4" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t569 () (forall (@list @t410 @t568) (=> (_ @t415 @t568) (_ (_ tptp.ord_less_eq_nat (_ @t567 @t410)) (_ @t567 @t568))))) 0.47/0.95 (define @t570 () (=> @t569 (_ (_ tptp.ord_less_eq_nat (_ @t567 @t162)) @t15))) 0.47/0.95 (define @t571 () (_ @t567 @t161)) 0.47/0.95 (define @t572 () (@list @t162 @t161 @t567 @t15)) 0.47/0.95 (define @t573 () (= @t150 @t502)) 0.47/0.95 (define @t574 () (@var "X_1" tptp.a)) 0.47/0.95 (define @t575 () (@var "A5" tptp.set_nat)) 0.47/0.95 (define @t576 () (@list @t575 @t193)) 0.47/0.95 (define @t577 () (@var "F" (-> tptp.nat tptp.set_Product_prod_a_a))) 0.47/0.95 (define @t578 () (@var "Z2" tptp.nat)) 0.47/0.95 (define @t579 () (_ tptp.ord_less_eq_nat @t578)) 0.47/0.95 (define @t580 () (_ @t579 @t150)) 0.47/0.95 (define @t581 () (_ @t503 @t578)) 0.47/0.95 (define @t582 () (_ @t579 @t502)) 0.47/0.95 (define @t583 () (_ @t505 @t578)) 0.47/0.95 (define @t584 () (@list @t150 @t502 @t578)) 0.47/0.95 (define @t585 () (@var "A4" tptp.set_a)) 0.47/0.95 (define @t586 () (@var "B4" tptp.set_a)) 0.47/0.95 (define @t587 () (@var "D" (-> tptp.product_prod_a_a tptp.set_nat))) 0.47/0.95 (define @t588 () (@var "B" (-> tptp.product_prod_a_a tptp.set_nat))) 0.47/0.95 (define @t589 () (_ @t149 @t588)) 0.47/0.95 (define @t590 () (@var "R2" tptp.pair_p1914262621t_unit)) 0.47/0.95 (define @t591 () (_ tptp.pair_p69470259t_unit @t590)) 0.47/0.95 (define @t592 () (_ tptp.pair_p715279805t_unit @t590)) 0.47/0.95 (define @t593 () (_ tptp.pair_p1677060310t_unit @t590)) 0.47/0.95 (define @t594 () (_ @t242 @t193)) 0.47/0.95 (define @t595 () (_ @t242 @t575)) 0.47/0.95 (define @t596 () (_ tptp.pair_p504738056od_a_a @t470)) 0.47/0.95 (define @t597 () (@var "R3" tptp.pair_p1914262621t_unit)) 0.47/0.95 (define @t598 () (=> @t389 (_ (_ tptp.ord_less_eq_nat (_ @t388 @t51)) @t15))) 0.47/0.95 (define @t599 () (@list @t51 @t25 @t388 @t15)) 0.47/0.95 (define @t600 () (@var "X_1" tptp.product_prod_nat_nat)) 0.47/0.95 (define @t601 () (@var "Y2" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t602 () (@var "X3" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t603 () (= @t602 @t601)) 0.47/0.95 (define @t604 () (_ tptp.ord_le1824328871od_a_a @t602)) 0.47/0.95 (define @t605 () (_ @t604 @t601)) 0.47/0.95 (define @t606 () (_ tptp.ord_le1824328871od_a_a @t601)) 0.47/0.95 (define @t607 () (_ @t606 @t602)) 0.47/0.95 (define @t608 () (@var "X" tptp.product_prod_nat_nat)) 0.47/0.95 (define @t609 () (@var "R" (-> tptp.nat tptp.product_prod_nat_nat Bool))) 0.47/0.95 (define @t610 () (_ (_ tptp.member701585322at_nat @t608) @t466)) 0.47/0.95 (define @t611 () (@list @t608)) 0.47/0.95 (define @t612 () (@var "Xa" tptp.product_prod_nat_nat)) 0.47/0.95 (define @t613 () (_ (_ tptp.member701585322at_nat @t612) @t466)) 0.47/0.95 (define @t614 () (@list @t612)) 0.47/0.95 (define @t615 () (=> @t138 (_ (_ tptp.ord_less_eq_nat (_ @t132 @t196)) @t15))) 0.47/0.95 (define @t616 () (@list @t196 @t139 @t132 @t15)) 0.47/0.95 (define @t617 () (@var "V" tptp.a)) 0.47/0.95 (define @t618 () (@var "U" tptp.a)) 0.47/0.95 (define @t619 () (@var "Z2" tptp.set_a)) 0.47/0.95 (define @t620 () (@var "Z2" tptp.set_nat)) 0.47/0.95 (define @t621 () (=> @t27 @t441)) 0.47/0.95 (define @t622 () (@var "A" tptp.set_Pr1986765409at_nat)) 0.47/0.95 (define @t623 () (_ tptp.finite772653738at_nat @t622)) 0.47/0.95 (define @t624 () (_ (_ tptp.ord_le841296385at_nat @t622) @t466)) 0.47/0.95 (define @t625 () (@var "R" (-> tptp.nat tptp.a Bool))) 0.47/0.95 (define @t626 () (@var "B2" tptp.set_Pr1986765409at_nat)) 0.47/0.95 (define @t627 () (=> @t141 (=> @t427 (_ @t18 (_ @t426 @t131))))) 0.47/0.95 (define @t628 () (@list @t17 @t426 @t139 @t131)) 0.47/0.95 (define @t629 () (@var "Y3" tptp.set_nat)) 0.47/0.95 (define @t630 () (@var "X2" tptp.set_nat)) 0.47/0.95 (define @t631 () (=> @t141 @t528)) 0.47/0.95 (define @t632 () (_ tptp.collect_nat (lambda @t244 (and @t509 @t241)))) 0.47/0.95 (define @t633 () (@var "T" tptp.set_Pr1986765409at_nat)) 0.47/0.95 (define @t634 () (@var "S" tptp.set_Pr1986765409at_nat)) 0.47/0.95 (define @t635 () (lambda @t88 @t147)) 0.47/0.95 (define @t636 () (@var "R" (-> tptp.a tptp.product_prod_a_a Bool))) 0.47/0.95 (define @t637 () (_ tptp.ord_le1824328871od_a_a @t302)) 0.47/0.95 (define @t638 () (@var "M3" tptp.nat)) 0.47/0.95 (define @t639 () (@var "X6" tptp.nat)) 0.47/0.95 (define @t640 () (@var "M2" tptp.nat)) 0.47/0.95 (define @t641 () (=> @t141 (=> @t324 (_ @t197 (_ @t323 @t131))))) 0.47/0.95 (define @t642 () (@list @t196 @t323 @t139 @t131)) 0.47/0.95 (define @t643 () (lambda @t77 @t128)) 0.47/0.95 (define @t644 () (_ @t215 @t330)) 0.47/0.95 (define @t645 () (_ @t215 @t329)) 0.47/0.95 (define @t646 () (@var "R" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t647 () (@var "X2" tptp.set_a)) 0.47/0.95 (define @t648 () (@var "Y3" tptp.set_a)) 0.47/0.95 (define @t649 () (lambda @t44 @t147)) 0.47/0.95 (define @t650 () (=> @t24 (_ (_ tptp.ord_less_eq_set_a (_ @t16 @t51)) @t49))) 0.47/0.95 (define @t651 () (@list @t51 @t25 @t16 @t49)) 0.47/0.95 (define @t652 () (@var "R" (-> tptp.a tptp.product_prod_nat_nat Bool))) 0.47/0.95 (define @t653 () (@var "D" (-> tptp.nat tptp.set_nat))) 0.47/0.95 (define @t654 () (=> @t198 (_ (_ tptp.ord_less_eq_set_nat (_ @t195 @t17)) @t131))) 0.47/0.95 (define @t655 () (@list @t17 @t59 @t195 @t131)) 0.47/0.95 (define @t656 () (_ tptp.ord_less_eq_set_a @t49)) 0.47/0.95 (define @t657 () (@var "Z3" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t658 () (@var "C2" tptp.a)) 0.47/0.95 (define @t659 () (_ tptp.member_a @t658)) 0.47/0.95 (define @t660 () (@var "X_1" tptp.nat)) 0.47/0.95 (define @t661 () (not @t95)) 0.47/0.95 (define @t662 () (@var "Z2" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t663 () (@var "A2" tptp.product_prod_a_a)) 0.47/0.95 (define @t664 () (@list @t602 @t601)) 0.47/0.95 (define @t665 () (_ tptp.ord_less_eq_nat @t15)) 0.47/0.95 (define @t666 () (@var "R" (-> tptp.nat tptp.nat Bool))) 0.47/0.95 (define @t667 () (@var "R" (-> tptp.product_prod_a_a tptp.nat Bool))) 0.47/0.95 (define @t668 () (@var "T2" tptp.product_prod_a_a)) 0.47/0.95 (define @t669 () (_ tptp.member449909584od_a_a @t668)) 0.47/0.95 (define @t670 () (_ @t669 @t209)) 0.47/0.95 (define @t671 () (_ @t669 @t360)) 0.47/0.95 (define @t672 () (@list @t668)) 0.47/0.95 (define @t673 () (forall @t672 (=> @t671 @t670))) 0.47/0.95 (define @t674 () (lambda @t362 @t673)) 0.47/0.95 (define @t675 () (@var "G" tptp.pair_p125712459t_unit)) 0.47/0.95 (define @t676 () (@list @t675)) 0.47/0.95 (define @t677 () (lambda @t676 (and (_ tptp.finite179568208od_a_a (_ tptp.pair_p133601421t_unit @t675)) (_ tptp.finite_finite_a (_ tptp.pair_p1047056820t_unit @t675))))) 0.47/0.95 (define @t678 () (lambda @t676 (and (_ tptp.pair_p1864019935ioms_a @t675) (_ tptp.pair_p68905728raph_a @t675)))) 0.47/0.95 (define @t679 () (@var "T2" tptp.nat)) 0.47/0.95 (define @t680 () (_ tptp.member_nat @t679)) 0.47/0.95 (define @t681 () (lambda @t576 (forall (@list @t679) (=> (_ @t680 @t575) (_ @t680 @t193))))) 0.47/0.95 (define @t682 () (@var "T2" tptp.a)) 0.47/0.95 (define @t683 () (_ tptp.member_a @t682)) 0.47/0.95 (define @t684 () (lambda @t332 (forall (@list @t682) (=> (_ @t683 @t329) (_ @t683 @t330))))) 0.47/0.95 (define @t685 () (@var "A5" tptp.set_Pr1986765409at_nat)) 0.47/0.95 (define @t686 () (@var "X5" tptp.set_Pr1986765409at_nat)) 0.47/0.95 (define @t687 () (lambda (@list @t685) (_ tptp.collec1606769740at_nat (lambda (@list @t686) (and (_ tptp.finite772653738at_nat @t686) (_ (_ tptp.ord_le841296385at_nat @t686) @t685)))))) 0.47/0.95 (define @t688 () (@var "X5" tptp.set_a)) 0.47/0.95 (define @t689 () (lambda (@list @t329) (_ tptp.collect_set_a (lambda (@list @t688) (and (_ tptp.finite_finite_a @t688) (_ (_ tptp.ord_less_eq_set_a @t688) @t329)))))) 0.47/0.95 (define @t690 () (@var "G" tptp.pair_p1914262621t_unit)) 0.47/0.95 (define @t691 () (@list @t690)) 0.47/0.95 (define @t692 () (lambda @t691 (and (_ tptp.finite_finite_nat (_ tptp.pair_p1677060310t_unit @t690)) (_ tptp.finite772653738at_nat (_ tptp.pair_p715279805t_unit @t690))))) 0.47/0.95 (define @t693 () (lambda @t691 (and (_ tptp.pair_p1027063983ms_nat @t690) (_ tptp.pair_p1515597646ph_nat @t690)))) 0.47/0.95 (define @t694 () (@var "G" tptp.pair_p1765063010t_unit)) 0.47/0.95 (define @t695 () (@list @t694)) 0.47/0.95 (define @t696 () (lambda @t695 (and (_ tptp.finite179568208od_a_a (_ tptp.pair_p447552203t_unit @t694)) (_ tptp.finite1664988688od_a_a (_ tptp.pair_p1783210148t_unit @t694))))) 0.47/0.95 (define @t697 () (@var "G" tptp.pair_p1593840546t_unit)) 0.47/0.95 (define @t698 () (lambda (@list @t697) (and (_ tptp.finite256329232od_a_a (_ tptp.pair_p1559300324t_unit @t697)) (_ tptp.finite1664988688od_a_a (_ tptp.pair_p1652294923t_unit @t697))))) 0.47/0.95 (define @t699 () (lambda @t695 (and (_ tptp.pair_p504738056od_a_a @t694) (_ tptp.pair_p646030121od_a_a @t694)))) 0.47/0.95 (define @t700 () (@var "X5" tptp.set_nat)) 0.47/0.95 (define @t701 () (lambda (@list @t575) (_ tptp.collect_set_nat (lambda (@list @t700) (and (_ tptp.finite_finite_nat @t700) (_ (_ tptp.ord_less_eq_set_nat @t700) @t575)))))) 0.47/0.95 (define @t702 () (lambda @t332 (_ (_ tptp.product_Sigma_a_a @t329) (lambda @t44 @t330)))) 0.47/0.95 (define @t703 () (@var "X5" tptp.set_Product_prod_a_a)) 0.47/0.95 (define @t704 () (lambda (@list @t360) (_ tptp.collec183727474od_a_a (lambda (@list @t703) (and (_ tptp.finite179568208od_a_a @t703) (_ (_ tptp.ord_le1824328871od_a_a @t703) @t360)))))) 0.47/0.95 (define @t705 () (@var "G" tptp.pair_p2041852168t_unit)) 0.47/0.95 (define @t706 () (lambda (@list @t705) (and (_ tptp.finite48957584at_nat (_ tptp.pair_p806300874t_unit @t705)) (_ tptp.finite772653738at_nat (_ tptp.pair_p210955889t_unit @t705))))) 0.47/0.95 (define @t707 () (@var "N2" tptp.set_nat)) 0.47/0.95 (define @t708 () (lambda (@list @t707) (exists @t478 (forall @t244 (=> (_ @t242 @t707) (_ @t433 @t477)))))) 0.47/0.95 (define @t709 () (@var "A5" tptp.set_Pr1948701895od_a_a)) 0.47/0.95 (define @t710 () (@var "X5" tptp.set_Pr1948701895od_a_a)) 0.47/0.95 (define @t711 () (lambda (@list @t709) (_ tptp.collec453062450od_a_a (lambda (@list @t710) (and (_ tptp.finite1664988688od_a_a @t710) (_ (_ tptp.ord_le456379495od_a_a @t710) @t709)))))) 0.47/0.95 (define @t712 () (tptp.pair_p1047056820t_unit tptp.g)) 0.47/0.95 (define @t713 () (@purify @t712)) 0.47/0.95 (define @t714 () (@purify @t67)) 0.47/0.95 (define @t715 () (lambda @t44 @t712)) 0.47/0.95 (define @t716 () (tptp.product_Sigma_a_a @t712 @t715)) 0.47/0.95 (define @t717 () (_ tptp.product_Sigma_a_a @t712)) 0.47/0.95 (define @t718 () (_ @t717 @t715)) 0.47/0.95 (define @t719 () (tptp.member449909584od_a_a @t668 @t70)) 0.47/0.95 (define @t720 () (tptp.pair_p133601421t_unit tptp.g)) 0.47/0.95 (define @t721 () (not (tptp.member449909584od_a_a @t668 @t720))) 0.47/0.95 (define @t722 () (or @t721 @t719)) 0.47/0.95 (define @t723 () (forall @t672 @t722)) 0.47/0.95 (define @t724 () (tptp.member449909584od_a_a @t668 @t209)) 0.47/0.95 (define @t725 () (tptp.member449909584od_a_a @t668 @t71)) 0.47/0.95 (define @t726 () (not @t725)) 0.47/0.95 (define @t727 () (or @t726 @t724)) 0.47/0.95 (define @t728 () (forall @t672 @t727)) 0.47/0.95 (define @t729 () (lambda @t211 @t728)) 0.47/0.95 (define @t730 () (tptp.member449909584od_a_a @t668 @t360)) 0.47/0.95 (define @t731 () (lambda @t362 (forall @t672 (or (not @t730) @t724)))) 0.47/0.95 (define @t732 () (not @t671)) 0.47/0.95 (define @t733 () (or @t732 @t670)) 0.47/0.95 (define @t734 () (lambda @t44 @t713)) 0.47/0.95 (define @t735 () (@purify @t734)) 0.47/0.95 (define @t736 () (lambda @t44 @t714)) 0.47/0.95 (define @t737 () (@purify @t736)) 0.47/0.95 (define @t738 () (tptp.product_Sigma_a_a @t712 @t737)) 0.47/0.95 (define @t739 () (forall @t672 (or @t721 (tptp.member449909584od_a_a @t668 @t738)))) 0.47/0.95 (define @t740 () (@quantifiers_skolemize @t739 0)) 0.47/0.95 (define @t741 () (tptp.member449909584od_a_a @t740 @t716)) 0.47/0.95 (define @t742 () (tptp.member449909584od_a_a @t740 @t720)) 0.47/0.95 (define @t743 () (not @t742)) 0.47/0.95 (define @t744 () (or @t743 @t741)) 0.47/0.95 (define @t745 () (forall @t672 (or @t721 (tptp.member449909584od_a_a @t668 @t716)))) 0.47/0.95 (define @t746 () (tptp.finite179568208od_a_a @t451)) 0.47/0.95 (define @t747 () (tptp.finite179568208od_a_a @t454)) 0.47/0.95 (define @t748 () (not (tptp.member449909584od_a_a @t668 @t454))) 0.47/0.95 (define @t749 () (forall @t672 (or @t748 (tptp.member449909584od_a_a @t668 @t451)))) 0.47/0.95 (define @t750 () (not @t749)) 0.47/0.95 (define @t751 () (or @t750 @t455 @t453)) 0.47/0.95 (define @t752 () (lambda @t211 (forall @t672 (or @t748 @t724)))) 0.47/0.95 (define @t753 () (_ @t731 @t454)) 0.47/0.95 (define @t754 () (=> (_ @t753 @t451) @t457)) 0.47/0.95 (define @t755 () (_ @t69 @t737)) 0.47/0.95 (define @t756 () (tptp.finite179568208od_a_a @t738)) 0.47/0.95 (define @t757 () (tptp.finite179568208od_a_a @t720)) 0.47/0.95 (define @t758 () (not @t756)) 0.47/0.95 (define @t759 () (not @t739)) 0.47/0.95 (define @t760 () (or @t759 @t757 @t758)) 0.47/0.95 (define @t761 () (tptp.member449909584od_a_a @t740 @t738)) 0.47/0.95 (define @t762 () (or @t743 @t761)) 0.47/0.95 (define @t763 () (@list true)) 0.47/0.95 (define @t764 () (@list @t762)) 0.47/0.95 (define @t765 () (tptp.product_Sigma_a_a @t712 @t735)) 0.47/0.95 (define @t766 () (tptp.member449909584od_a_a @t740 @t765)) 0.47/0.95 (define @t767 () (or @t743 @t766)) 0.47/0.95 (define @t768 () (@purify @t717)) 0.47/0.95 (define @t769 () (_ @t768 @t735)) 0.47/0.95 (define @t770 () (_ @t717 @t735)) 0.47/0.95 (define @t771 () (= @t770 @t769)) 0.47/0.95 (define @t772 () (= @t717 @t768)) 0.47/0.95 (define @t773 () (and @t772 @t771)) 0.47/0.95 (define @t774 () (_ @t717 @t715)) 0.47/0.95 (define @t775 () (= @t718 @t774)) 0.47/0.95 (define @t776 () (= @t717 @t717)) 0.47/0.95 (define @t777 () (_ tptp.product_Sigma_a_a @t713)) 0.47/0.95 (define @t778 () (@purify @t777)) 0.47/0.95 (define @t779 () (_ @t778 @t737)) 0.47/0.95 (define @t780 () (tptp.product_Sigma_a_a @t713 @t737)) 0.47/0.95 (define @t781 () (_ @t777 @t737)) 0.47/0.95 (define @t782 () (= @t781 @t779)) 0.47/0.95 (define @t783 () (= @t777 @t778)) 0.47/0.95 (define @t784 () (and @t783 @t782)) 0.47/0.95 (define @t785 () (_ @t717 @t68)) 0.47/0.95 (define @t786 () (_ @t717 @t68)) 0.47/0.95 (define @t787 () (= @t785 @t786)) 0.47/0.95 (define @t788 () (not @t766)) 0.47/0.95 (define @t789 () (= @t765 @t769)) 0.47/0.95 (define @t790 () (not @t789)) 0.47/0.95 (define @t791 () (= @t780 @t779)) 0.47/0.95 (define @t792 () (not @t791)) 0.47/0.95 (define @t793 () (not @t772)) 0.47/0.95 (define @t794 () (not @t783)) 0.47/0.95 (define @t795 () (= @t737 @t735)) 0.47/0.95 (define @t796 () (not @t795)) 0.47/0.95 (define @t797 () (= @t712 @t713)) 0.47/0.95 (define @t798 () (not @t797)) 0.47/0.95 (define @t799 () (not @t761)) 0.47/0.95 (define @t800 () (and @t799 @t797 @t791 @t783 @t772 @t795 @t789 @t766)) 0.47/0.95 (define @t801 () (@const 0 tptp.a)) 0.47/0.95 (define @t802 () (_ @t715 @t801)) 0.47/0.95 (define @t803 () (_ @t735 @t801)) 0.47/0.95 (define @t804 () (_ @t68 @t801)) 0.47/0.95 (define @t805 () (_ @t737 @t801)) 0.47/0.95 (define @t806 () (= @t805 @t803)) 0.47/0.95 (define @t807 () (not @t806)) 0.47/0.95 (define @t808 () (or @t795 @t807)) 0.47/0.95 (assume @p1 (forall (@list @t2) (=> (not @t3) (exists (@list @t1) (_ @t2 @t1))))) 0.47/0.95 (assume @p2 (forall @t10 (= (= @t9 tptp.bot_bo2131659635od_a_a) @t8))) 0.47/0.95 (assume @p3 (forall @t14 (= (_ @t13 tptp.bot_bot_set_a) @t12))) 0.47/0.95 (assume @p4 (forall @t30 (=> (= @t17 @t29) @t28))) 0.47/0.95 (assume @p5 (forall (@list @t32 @t31) (=> @t37 (=> (forall @t36 (=> @t35 (_ tptp.finite772653738at_nat (_ @t31 @t34)))) (_ tptp.finite277291581at_nat (_ @t33 @t31)))))) 0.47/0.95 (assume @p6 (forall @t42 (= (_ tptp.pair_p715279805t_unit @t41) @t38))) 0.47/0.95 (assume @p7 (forall (@list @t47 @t11 @t43) (= (_ @t48 (_ (_ tptp.product_product_a_a @t11) @t43)) (_ @t48 @t46)))) 0.47/0.95 (assume @p8 (forall @t64 (=> (_ @t52 @t63) @t62))) 0.47/0.95 (assume @p9 (forall @t66 (_ @t65 @t32))) 0.47/0.95 (assume @p10 (_ (_ tptp.ord_le1824328871od_a_a @t71) @t70)) 0.47/0.95 (assume @p11 (forall (@list @t73 @t72) (=> (= @t76 (_ tptp.pair_p447552203t_unit @t72)) (=> (= @t75 (_ tptp.pair_p1783210148t_unit @t72)) (=> (= @t74 (_ tptp.pair_p1984658862t_unit @t72)) (= @t73 @t72)))))) 0.47/0.95 (assume @p12 (forall @t83 (=> @t82 (=> @t81 @t80)))) 0.47/0.95 (assume @p13 (forall @t87 (=> (_ tptp.pair_p68905728raph_a @t84) (=> @t86 @t85)))) 0.47/0.95 (assume @p14 (_ tptp.finite179568208od_a_a @t70)) 0.47/0.95 (assume @p15 (forall @t91 (=> @t37 (=> @t81 @t90)))) 0.47/0.95 (assume @p16 (forall @t97 (=> @t96 (=> @t95 @t94)))) 0.47/0.95 (assume @p17 (forall @t87 (=> @t85 @t98))) 0.47/0.95 (assume @p18 (forall (@list @t32 @t99 @t15) (=> @t101 (=> (_ @t100 @t32) (_ @t100 @t99))))) 0.47/0.95 (assume @p19 (forall (@list @t103 @t102) (=> (_ (_ tptp.ord_less_eq_set_a @t103) @t102) (=> (not (_ tptp.finite_finite_a @t103)) (not (_ tptp.finite_finite_a @t102)))))) 0.47/0.95 (assume @p20 (forall @t112 (=> (forall @t111 (=> @t110 @t109)) @t108))) 0.47/0.95 (assume @p21 (forall (@list @t32 @t92 @t115) (=> @t126 (=> @t95 (=> (forall @t111 (=> @t125 (exists @t123 (and @t122 (_ (_ @t115 @t20) @t121))))) (exists @t120 (and @t119 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t117 (and @t116 (_ (_ @t115 @t114) @t113))))))))))))) 0.47/0.95 (assume @p22 (forall (@list @t47 @t128 @t11 @t43) (=> @t130 (= (_ (_ tptp.ord_le1816232656od_a_a (_ @t93 @t129)) (_ (_ tptp.produc520147185od_a_a @t43) @t129)) @t127)))) 0.47/0.95 (assume @p23 (forall @t144 (=> (_ @t52 @t143) @t142))) 0.47/0.95 (assume @p24 (forall (@list @t150 @t147 @t78 @t92) (=> @t152 (= (_ (_ tptp.ord_le492294332_a_nat (_ @t149 @t148)) (_ (_ tptp.produc931712687_a_nat @t92) @t148)) @t146)))) 0.47/0.95 (assume @p25 (forall @t160 (=> @t159 (=> @t157 @t155)))) 0.47/0.95 (assume @p26 (forall (@list @t161 @t162) (=> @t167 (=> @t165 @t163)))) 0.47/0.95 (assume @p27 (forall (@list @t32 @t168) (=> @t37 (=> (forall @t36 (=> @t35 (_ tptp.finite179568208od_a_a (_ @t168 @t34)))) (_ tptp.finite1297454819od_a_a @t170))))) 0.47/0.95 (assume @p28 (forall (@list @t32 @t99 @t147) (=> @t101 (=> (_ @t172 @t147) @t171)))) 0.47/0.95 (assume @p29 (forall @t178 (=> @t177 (=> @t176 (not @t174))))) 0.47/0.95 (assume @p30 (forall (@list @t32 @t99 @t150) (=> @t101 (=> (_ @t151 @t32) (_ @t151 @t99))))) 0.47/0.95 (assume @p31 (forall @t180 (=> (forall @t111 (=> @t125 @t179)) @t101))) 0.47/0.95 (assume @p32 (forall (@list @t11 @t181) (=> @t96 (=> (forall @t185 (=> @t184 (_ tptp.finite772653738at_nat (_ @t181 @t183)))) (_ tptp.finite942416723at_nat (_ @t182 @t181)))))) 0.47/0.95 (assume @p33 (forall (@list @t59 @t17) (=> @t188 (=> @t187 @t186)))) 0.47/0.95 (assume @p34 (forall @t87 (=> @t85 @t85))) 0.47/0.95 (assume @p35 (forall (@list @t78 @t5 @t189) (= (_ @t145 @t192) (and (_ @t145 @t9) (_ @t145 @t190))))) 0.47/0.95 (assume @p36 (forall @t66 (=> @t37 (_ tptp.finite2012248349et_nat (_ tptp.collect_set_nat (lambda (@list @t193) (_ @t194 @t32))))))) 0.47/0.95 (assume @p37 (forall @t201 (=> (= @t196 @t200) @t199))) 0.47/0.95 (assume @p38 (forall (@list @t202) (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t204 (_ (_ tptp.ord_less_eq_nat @t203) @t202)))))) 0.47/0.95 (assume @p39 (forall @t208 (=> @t207 @t206))) 0.47/0.95 (assume @p40 (forall @t212 (=> @t82 (_ tptp.finite1145471536od_a_a (_ tptp.collec183727474od_a_a (lambda @t211 (_ @t210 @t78))))))) 0.47/0.95 (assume @p41 (forall (@list @t213 @t217) (_ (_ tptp.ord_less_eq_set_a (_ tptp.collect_a (lambda @t219 (and @t218 @t216)))) @t213))) 0.47/0.95 (assume @p42 (forall (@list @t92 @t78 @t5) (=> @t224 (= (_ @t223 (_ tptp.collec645855634od_a_a (lambda @t7 (and @t222 @t6)))) (forall @t7 (=> @t221 @t6)))))) 0.47/0.95 (assume @p43 (forall @t226 (= @t225 (forall @t7 (=> @t6 @t191))))) 0.47/0.95 (assume @p44 (forall (@list @t11 @t43 @t230) (=> @t177 (=> @t81 (=> (forall @t234 (=> @t238 (exists @t237 (and (_ (_ @t230 @t229) @t235) @t236)))) (exists @t234 (and @t233 (not (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t231 (and (_ (_ @t230 @t227) @t229) @t228)))))))))))) 0.47/0.95 (assume @p45 (forall (@list @t47 @t128 @t32 @t99) (=> @t130 (= (_ (_ tptp.ord_le2084554594od_a_a (_ @t169 @t239)) (_ (_ tptp.produc1182842125od_a_a @t99) @t239)) @t101)))) 0.47/0.95 (assume @p46 (forall (@list @t99 @t32 @t106) (=> @t247 (= (_ @t172 @t246) (forall @t244 (=> @t243 @t241)))))) 0.47/0.95 (assume @p47 (forall @t83 (= @t80 (or @t249 (and @t82 @t81) @t248)))) 0.47/0.95 (assume @p48 (= @t256 (lambda @t253 (and @t252 @t251)))) 0.47/0.95 (assume @p49 (forall @t208 (=> (_ tptp.pair_p1515597646ph_nat @t205) (=> @t257 @t207)))) 0.47/0.95 (assume @p50 (= @t262 (lambda (@list @t259 @t258) (and (_ (_ tptp.ord_less_eq_set_nat @t258) @t259) (_ (_ tptp.ord_less_eq_set_nat @t259) @t258))))) 0.47/0.95 (assume @p51 (= @t267 (lambda (@list @t263 @t264) (and (_ (_ tptp.ord_le1824328871od_a_a @t263) @t264) (_ (_ tptp.ord_le1824328871od_a_a @t264) @t263))))) 0.47/0.95 (assume @p52 (forall (@list @t73) (= @t73 (_ (_ (_ tptp.pair_p398687508t_unit @t76) @t75) @t74)))) 0.47/0.95 (assume @p53 (forall @t10 (=> (not @t269) (exists (@list @t268) (_ @t5 @t268))))) 0.47/0.95 (assume @p54 (forall @t272 (=> @t271 (=> @t176 (not @t270))))) 0.47/0.95 (assume @p55 (forall (@list @t150 @t276 @t274 @t106) (=> (_ @t151 @t276) (=> (_ (_ tptp.ord_less_eq_set_nat @t276) (_ tptp.collect_nat (lambda @t244 (and @t241 @t275)))) @t273)))) 0.47/0.95 (assume @p56 (forall @t280 (=> @t127 (=> @t279 @t277)))) 0.47/0.95 (assume @p57 (forall @t290 (=> @t289 (=> @t288 (exists @t287 (and @t286 (forall @t285 (=> @t284 (=> (_ @t135 @t281) @t282))) (_ @t197 @t134))))))) 0.47/0.95 (assume @p58 (forall @t294 (= (_ tptp.pair_p1047056820t_unit @t293) @t291))) 0.47/0.95 (assume @p59 (forall @t212 (= (forall @t7 (not @t222)) @t249))) 0.47/0.95 (assume @p60 (forall (@list @t295 @t51 @t25) (=> (forall @t298 (=> (_ (_ tptp.ord_less_eq_nat @t34) @t296) @t297)) (=> (forall @t298 (=> (_ (_ @t295 @t296) @t34) @t297)) (_ (_ @t295 @t51) @t25))))) 0.47/0.95 (assume @p61 (forall @t301 (=> @t300 (=> (_ tptp.finite48957584at_nat (_ tptp.pair_p806300874t_unit @t299)) (_ tptp.pair_p56914274at_nat @t299))))) 0.47/0.95 (assume @p62 (forall @t306 (=> @t165 @t305))) 0.47/0.95 (assume @p63 @t308) 0.47/0.95 (assume @p64 (forall (@list @t11 @t99 @t309) (=> @t177 (=> @t175 (=> (forall @t234 (=> @t238 (exists @t313 (and @t312 (_ (_ @t309 @t229) @t310))))) (exists @t111 (and (not (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t231 (and @t228 (_ (_ @t309 @t227) @t20)))))) @t179))))))) 0.47/0.95 (assume @p65 (forall (@list @t78 @t5) (_ (_ tptp.ord_le1824328871od_a_a @t314) @t78))) 0.47/0.95 (assume @p66 (forall @t322 (=> @t321 (=> @t319 @t317)))) 0.47/0.95 (assume @p67 (forall @t328 (=> @t327 (=> (_ (_ tptp.ord_less_eq_set_nat @t326) @t131) @t325)))) 0.47/0.95 (assume @p68 (= @t335 (lambda @t332 (and (_ (_ tptp.ord_less_eq_set_a @t329) @t330) (_ @t331 @t329))))) 0.47/0.95 (assume @p69 (forall (@list @t11 @t43 @t338 @t336) (=> @t277 (=> (forall @t234 (=> @t233 (= (_ @t338 @t229) @t339))) (= (_ @t45 @t338) (_ @t337 @t336)))))) 0.47/0.95 (assume @p70 (forall @t64 (=> (= @t51 @t63) @t62))) 0.47/0.95 (assume @p71 (forall (@list @t32 @t340) (=> @t37 (=> (forall @t36 (=> @t35 (_ tptp.finite_finite_nat (_ @t340 @t34)))) (_ tptp.finite772653738at_nat @t342))))) 0.47/0.95 (assume @p72 (forall @t349 (= (_ tptp.finite1664988688od_a_a (_ tptp.collec1635618130od_a_a (lambda @t348 (or @t347 @t346)))) (and @t344 @t3)))) 0.47/0.95 (assume @p73 (forall @t180 (=> @t37 (=> @t175 @t350)))) 0.47/0.95 (assume @p74 (forall (@list @t17 @t59) (=> @t187 (=> @t188 @t186)))) 0.47/0.95 (assume @p75 (forall @t42 (= (_ tptp.pair_p1677060310t_unit @t41) @t40))) 0.47/0.95 (assume @p76 (forall @t180 (=> @t351 @t101))) 0.47/0.95 (assume @p77 (forall @t112 (=> (forall @t111 (= @t110 @t109)) (= @t107 @t105)))) 0.47/0.95 (assume @p78 (forall (@list @t139 @t196) (=> @t353 (=> @t327 @t352)))) 0.47/0.95 (assume @p79 (forall (@list @t162 @t161) (=> @t165 (=> @t167 @t163)))) 0.47/0.95 (assume @p80 (forall (@list @t354 @t356) (=> @t358 (=> @t357 @t355)))) 0.47/0.95 (assume @p81 (= tptp.ord_le1824328871od_a_a (lambda @t362 (_ (_ tptp.ord_le1347718902_a_a_o (lambda @t7 @t361)) (lambda @t7 @t359))))) 0.47/0.95 (assume @p82 (forall @t372 (=> @t371 (=> @t370 (exists @t369 (and @t368 (forall @t367 (=> @t366 (=> (_ @t55 @t363) @t364))) (_ @t18 @t54))))))) 0.47/0.95 (assume @p83 (forall @t377 (=> (= @t196 @t376) @t375))) 0.47/0.95 (assume @p84 (forall @t66 (_ (_ tptp.ord_less_eq_set_nat tptp.bot_bot_set_nat) @t32))) 0.47/0.95 (assume @p85 (forall @t381 (= (_ tptp.pair_p1783210148t_unit @t380) @t378))) 0.47/0.95 (assume @p86 (forall @t383 (=> (forall @t120 (=> @t382 @t119)) @t146))) 0.47/0.95 (assume @p87 (forall (@list @t11 @t384) (=> @t96 (=> (forall @t185 (=> @t184 (_ tptp.finite_finite_a (_ @t384 @t183)))) (_ tptp.finite179568208od_a_a @t385))))) 0.47/0.95 (assume @p88 (forall (@list @t11 @t43 @t386) (=> @t127 (=> (_ @t387 @t11) (_ @t387 @t43))))) 0.47/0.95 (assume @p89 (forall @t392 (=> (_ @t52 @t391) @t390))) 0.47/0.95 (assume @p90 (forall @t87 (=> @t393 (=> @t98 @t86)))) 0.47/0.95 (assume @p91 (forall @t392 (=> (= @t51 @t391) @t390))) 0.47/0.95 (assume @p92 (forall @t322 (=> @t317 @t321))) 0.47/0.95 (assume @p93 (forall (@list @t315 @t316) (=> @t319 (= @t321 @t317)))) 0.47/0.95 (assume @p94 (forall @t399 (=> @t398 (= (_ (_ tptp.ord_le1824328871od_a_a @t397) @t396) @t127)))) 0.47/0.95 (assume @p95 (forall (@list @t78 @t43 @t401) (=> @t271 (=> @t81 (=> (forall @t120 (=> @t382 (exists @t237 (and @t236 (_ (_ @t401 @t113) @t235))))) (exists @t234 (and (not (_ tptp.finite179568208od_a_a (_ tptp.collec645855634od_a_a (lambda @t403 (and @t402 (_ (_ @t401 @t400) @t229)))))) @t233))))))) 0.47/0.95 (assume @p96 (forall (@list @t404 @t5) (_ (_ tptp.ord_le1824328871od_a_a (_ tptp.collec645855634od_a_a (lambda @t7 (and @t6 @t405)))) @t404))) 0.47/0.95 (assume @p97 (forall @t306 (=> @t165 (=> (= @t161 @t302) @t303)))) 0.47/0.95 (assume @p98 (forall (@list @t32 @t147 @t407 @t406) (=> @t171 (=> (forall @t111 (=> @t125 (_ (_ tptp.ord_less_eq_set_a (_ @t407 @t20)) (_ @t406 @t20)))) (_ (_ tptp.ord_le344568633_nat_a @t408) (_ (_ tptp.product_Sigma_nat_a @t147) @t406)))))) 0.47/0.95 (assume @p99 (forall @t420 (=> @t419 (=> @t418 (exists @t417 (and @t416 (_ @t415 @t162) (forall @t414 (=> @t413 (=> (_ (_ tptp.ord_le1824328871od_a_a @t409) @t410) @t411))))))))) 0.47/0.95 (assume @p100 (forall @t425 (=> @t37 (=> @t424 (exists @t111 (and @t125 (_ @t52 @t20) (forall @t313 (=> @t422 (=> (_ @t21 @t310) @t421))))))))) 0.47/0.95 (assume @p101 (forall @t430 (=> @t327 (=> (_ (_ tptp.ord_less_eq_set_a @t429) @t49) @t428)))) 0.47/0.95 (assume @p102 (forall (@list @t386 @t431 @t213 @t217) (=> (_ @t387 @t431) (=> (_ (_ tptp.ord_less_eq_set_a @t431) (_ tptp.collect_a (lambda @t219 (and @t216 @t218)))) (_ @t217 @t386))))) 0.47/0.95 (assume @p103 (= @t256 (lambda (@list @t240 @t432) (and (_ (_ tptp.ord_less_eq_nat @t432) @t240) (_ @t433 @t432))))) 0.47/0.95 (assume @p104 (forall @t212 (_ @t145 @t78))) 0.47/0.95 (assume @p105 (forall @t399 (=> @t398 (= (= @t397 @t396) @t277)))) 0.47/0.95 (assume @p106 (forall (@list @t354) (=> @t355 (_ tptp.finite323969008od_a_a (_ tptp.collec453062450od_a_a (lambda (@list @t434) (_ (_ tptp.ord_le456379495od_a_a @t434) @t354))))))) 0.47/0.95 (assume @p107 (forall (@list @t32 @t147 @t168 @t435) (=> @t171 (=> (forall @t111 (=> @t125 (_ (_ tptp.ord_le1824328871od_a_a (_ @t168 @t20)) (_ @t435 @t20)))) (_ (_ tptp.ord_le2084554594od_a_a @t170) (_ (_ tptp.produc1182842125od_a_a @t147) @t435)))))) 0.47/0.95 (assume @p108 (forall (@list @t78 @t92 @t436) (=> @t146 (=> (_ @t437 @t78) (_ @t437 @t92))))) 0.47/0.95 (assume @p109 (forall @t14 (=> @t96 (_ tptp.finite_finite_set_a (_ tptp.collect_set_a (lambda (@list @t330) (_ @t331 @t11))))))) 0.47/0.95 (assume @p110 (forall @t440 (=> @t186 @t439))) 0.47/0.95 (assume @p111 (forall (@list @t43 @t11) (=> @t81 (=> @t127 @t96)))) 0.47/0.95 (assume @p112 (forall @t443 (=> @t442 (=> (= @t25 @t15) @t441)))) 0.47/0.95 (assume @p113 (forall @t208 (=> @t444 (=> @t206 @t257)))) 0.47/0.95 (assume @p114 (forall @t450 (= @t449 (forall @t219 (=> @t218 @t446))))) 0.47/0.95 (assume @p115 @t460) 0.47/0.95 (assume @p116 (forall (@list @t78 @t461) (=> @t82 (=> (forall @t465 (=> @t464 (_ tptp.finite_finite_a (_ @t461 @t463)))) (_ tptp.finite1919032935_a_a_a @t462))))) 0.47/0.95 (assume @p117 (forall @t469 (=> @t37 (=> @t468 @t467)))) 0.47/0.95 (assume @p118 (forall (@list @t274 @t106) (_ (_ tptp.ord_less_eq_set_nat (_ tptp.collect_nat (lambda @t244 (and @t275 @t241)))) @t274))) 0.47/0.95 (assume @p119 (forall @t14 (_ @t13 @t11))) 0.47/0.95 (assume @p120 (forall @t473 (=> @t472 @t471))) 0.47/0.95 (assume @p121 (forall (@list @t78 @t128 @t461 @t474) (=> @t475 (=> (forall @t120 (=> @t382 (_ (_ tptp.ord_less_eq_set_a (_ @t461 @t113)) (_ @t474 @t113)))) (_ (_ tptp.ord_le677315902_a_a_a @t462) (_ (_ tptp.produc1282482655_a_a_a @t128) @t474)))))) 0.47/0.95 (assume @p122 (forall (@list @t476) (= @t479 (forall @t478 (exists @t204 (and (_ (_ tptp.ord_less_eq_nat @t477) @t203) (_ (_ tptp.member_nat @t203) @t476))))))) 0.47/0.95 (assume @p123 (forall (@list @t11 @t480) (=> @t96 (=> (forall @t185 (=> @t184 (_ tptp.finite_finite_nat (_ @t480 @t183)))) (_ tptp.finite1743148308_a_nat @t481))))) 0.47/0.95 (assume @p124 (forall @t328 (=> @t327 (=> (= @t326 @t131) @t325)))) 0.47/0.95 (assume @p125 (forall (@list @t43 @t11 @t445 @t217) (=> @t279 (=> (forall @t234 (=> @t233 (=> @t485 @t484))) (_ (_ tptp.ord_less_eq_set_a (_ tptp.collect_a (lambda @t219 (and @t483 @t446)))) (_ tptp.collect_a (lambda @t219 (and @t218 @t482)))))))) 0.47/0.95 (assume @p126 (forall (@list @t17) (_ @t18 @t17))) 0.47/0.95 (assume @p127 (forall @t294 (= (_ tptp.pair_p133601421t_unit @t293) @t292))) 0.47/0.95 (assume @p128 (forall @t383 (=> @t486 @t146))) 0.47/0.95 (assume @p129 (forall @t272 (=> @t82 (=> @t175 @t270)))) 0.47/0.95 (assume @p130 (= @t256 (lambda @t253 (and @t251 @t252)))) 0.47/0.95 (assume @p131 (forall @t440 (=> @t187 @t439))) 0.47/0.95 (assume @p132 (forall @t226 (=> (or @t269 @t487) (_ tptp.finite179568208od_a_a @t192)))) 0.47/0.95 (assume @p133 (forall @t208 (=> @t207 @t257))) 0.47/0.95 (assume @p134 (forall @t280 (=> @t277 (not (=> @t127 (not @t279)))))) 0.47/0.95 (assume @p135 (forall @t490 (=> @t489 (=> (_ tptp.finite256329232od_a_a (_ tptp.pair_p1559300324t_unit @t488)) (_ tptp.pair_p1906342088od_a_a @t488))))) 0.47/0.95 (assume @p136 (forall @t450 (= (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t219 (or @t218 @t446)))) (and @t492 @t491)))) 0.47/0.95 (assume @p137 (forall @t497 (=> (_ @t18 @t496) @t495))) 0.47/0.95 (assume @p138 (forall @t306 (=> @t163 @t305))) 0.47/0.95 (assume @p139 (forall @t499 (= (= tptp.bot_bot_set_nat @t107) @t498))) 0.47/0.95 (assume @p140 (forall (@list @t25 @t51) (=> @t501 (=> @t442 @t500)))) 0.47/0.95 (assume @p141 (forall @t508 (=> @t507 @t504))) 0.47/0.95 (assume @p142 (forall (@list @t99 @t32 @t104 @t106) (=> @t247 (=> (forall @t111 (=> @t179 (=> @t109 @t110))) (_ (_ tptp.ord_less_eq_set_nat (_ tptp.collect_nat (lambda @t244 (and @t509 @t243)))) @t246))))) 0.47/0.95 (assume @p143 (forall (@list @t11 @t394 @t511 @t510) (=> @t513 (=> (forall @t234 (=> @t238 (_ (_ tptp.ord_le1824328871od_a_a (_ @t511 @t229)) (_ @t510 @t229)))) (_ (_ tptp.ord_le1816232656od_a_a @t512) (_ (_ tptp.produc520147185od_a_a @t394) @t510)))))) 0.47/0.95 (assume @p144 (forall @t91 (= @t90 (or (and @t37 @t81) @t248 @t514)))) 0.47/0.95 (assume @p145 (forall @t425 (=> @t37 (=> @t424 (exists @t111 (and @t125 (forall @t313 (=> @t422 (=> (_ (_ tptp.ord_less_eq_nat @t310) @t20) @t421))) (_ @t21 @t51))))))) 0.47/0.95 (assume @p146 (forall @t516 (=> @t442 (=> (= @t376 @t131) @t515)))) 0.47/0.95 (assume @p147 (forall (@list @t154) (_ @t158 @t154))) 0.47/0.95 (assume @p148 (forall (@list @t32 @t106) (_ (_ tptp.ord_less_eq_set_nat @t246) @t32))) 0.47/0.95 (assume @p149 (forall @t519 (= @t518 (or @t517 (and @t95 @t37) @t514)))) 0.47/0.95 (assume @p150 (forall (@list @t521 @t520) (=> (_ (_ tptp.ord_le456379495od_a_a @t521) @t520) (=> (not (_ tptp.finite1664988688od_a_a @t521)) (not (_ tptp.finite1664988688od_a_a @t520)))))) 0.47/0.95 (assume @p151 (forall @t97 (= @t94 (or (and @t95 @t96) @t517 @t12)))) 0.47/0.95 (assume @p152 (forall (@list @t522 @t476) (= (_ (_ tptp.ord_less_eq_nat_o (lambda @t244 (_ @t242 @t522))) (lambda @t244 (_ @t242 @t476))) (_ (_ tptp.ord_less_eq_set_nat @t522) @t476)))) 0.47/0.95 (assume @p153 (forall @t383 (=> @t146 (=> @t224 @t486)))) 0.47/0.95 (assume @p154 (forall (@list @t43 @t11 @t217) (=> @t279 (= (_ @t278 @t523) (forall @t219 (=> @t483 @t218)))))) 0.47/0.95 (assume @p155 (forall @t91 (=> @t126 (=> @t524 (not @t90))))) 0.47/0.95 (assume @p156 (forall @t226 (=> (forall @t120 (= @t526 @t525)) (= @t9 @t190)))) 0.47/0.95 (assume @p157 (forall @t473 (=> @t472 @t527))) 0.47/0.95 (assume @p158 (forall @t529 (=> @t327 (=> (= @t139 @t131) @t528)))) 0.47/0.95 (assume @p159 (forall (@list @t531 @t530) (=> (= @t534 (_ tptp.pair_p1047056820t_unit @t530)) (=> (= @t533 (_ tptp.pair_p133601421t_unit @t530)) (=> (= @t532 (_ tptp.pair_p1896222615t_unit @t530)) (= @t531 @t530)))))) 0.47/0.95 (assume @p160 (forall @t87 (=> @t85 @t393))) 0.47/0.95 (assume @p161 (forall @t83 (=> @t271 (=> @t524 (not @t80))))) 0.47/0.95 (assume @p162 (= @t267 (lambda (@list @t535 @t536) (and (_ (_ tptp.ord_le1824328871od_a_a @t535) @t536) (_ (_ tptp.ord_le1824328871od_a_a @t536) @t535))))) 0.47/0.95 (assume @p163 (forall @t538 (=> @t187 (=> (_ (_ tptp.ord_less_eq_nat @t63) @t15) @t537)))) 0.47/0.95 (assume @p164 (forall (@list @t11 @t394 @t480 @t539) (=> @t513 (=> (forall @t234 (=> @t238 (_ (_ tptp.ord_less_eq_set_nat (_ @t480 @t229)) (_ @t539 @t229)))) (_ (_ tptp.ord_le2073555219_a_nat @t481) (_ (_ tptp.product_Sigma_a_nat @t394) @t539)))))) 0.47/0.95 (assume @p165 (forall @t280 (= @t540 (or @t248 (and @t96 @t81) @t12)))) 0.47/0.95 (assume @p166 (forall (@list @t139 @t196 @t131) (=> @t353 (=> (_ @t541 @t139) (_ @t541 @t196))))) 0.47/0.95 (assume @p167 (forall @t301 (=> (_ tptp.pair_p752841413at_nat @t299) @t300))) 0.47/0.95 (assume @p168 (forall (@list @t32 @t407) (=> @t37 (=> (forall @t36 (=> @t35 (_ tptp.finite_finite_a (_ @t407 @t34)))) (_ tptp.finite1808550458_nat_a @t408))))) 0.47/0.95 (assume @p169 (forall (@list @t388 @t542) (=> (forall (@list @t543) (_ (_ tptp.ord_less_eq_nat @t543) (_ @t388 @t543))) (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t204 (_ (_ tptp.ord_less_eq_nat (_ @t388 @t203)) @t542))))))) 0.47/0.95 (assume @p170 (forall (@list @t51 @t25) (=> @t442 (=> @t501 @t500)))) 0.47/0.95 (assume @p171 (forall @t180 (= @t350 (or @t514 (and @t175 @t37) @t544)))) 0.47/0.95 (assume @p172 (forall (@list @t11 @t511) (=> @t96 (=> (forall @t185 (=> @t184 (_ tptp.finite179568208od_a_a (_ @t511 @t183)))) (_ tptp.finite676513017od_a_a @t512))))) 0.47/0.95 (assume @p173 (forall @t280 (=> @t96 (=> @t81 @t540)))) 0.47/0.95 (assume @p174 (forall @t226 (=> (forall @t120 (=> @t526 @t525)) @t225))) 0.47/0.95 (assume @p175 (forall @t547 (= @t546 (or @t545 (and @t468 @t96) @t12)))) 0.47/0.95 (assume @p176 (forall @t469 (=> @t126 (=> @t548 (not @t467))))) 0.47/0.95 (assume @p177 (forall @t112 (= (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t244 (or @t241 @t509)))) (and @t550 @t549)))) 0.47/0.95 (assume @p178 (forall @t559 (= (_ tptp.finite772653738at_nat (_ tptp.collec7649004at_nat (lambda @t558 (or @t557 @t556)))) (and @t554 @t552)))) 0.47/0.95 (assume @p179 (forall (@list @t560 @t103) (= (_ (_ tptp.ord_less_eq_a_o (lambda @t219 (_ @t215 @t560))) (lambda @t219 (_ @t215 @t103))) (_ (_ tptp.ord_less_eq_set_a @t560) @t103)))) 0.47/0.95 (assume @p180 (forall @t30 (=> (_ @t18 @t29) @t28))) 0.47/0.95 (assume @p181 (forall @t180 (=> @t126 (=> @t176 (not @t350))))) 0.47/0.95 (assume @p182 (forall (@list @t476 @t561) (=> (_ (_ tptp.ord_less_eq_set_nat @t476) @t561) (=> @t479 (not (_ tptp.finite_finite_nat @t561)))))) 0.47/0.95 (assume @p183 (forall @t280 (=> @t277 @t127))) 0.47/0.95 (assume @p184 (forall (@list @t78 @t128 @t563 @t562) (=> @t475 (=> (forall @t120 (=> @t382 (_ (_ tptp.ord_le1824328871od_a_a (_ @t563 @t113)) (_ @t562 @t113)))) (_ (_ tptp.ord_le456379495od_a_a (_ @t564 @t563)) (_ (_ tptp.produc304751368od_a_a @t128) @t562)))))) 0.47/0.95 (assume @p185 (forall @t566 (=> @t187 (=> (_ (_ tptp.ord_less_eq_set_a @t496) @t49) @t565)))) 0.47/0.95 (assume @p186 (forall @t572 (=> @t165 (=> (_ (_ tptp.ord_less_eq_nat @t571) @t15) @t570)))) 0.47/0.95 (assume @p187 (forall @t508 (=> @t506 (=> @t504 @t573)))) 0.47/0.95 (assume @p188 (forall (@list @t78 @t92 @t128) (=> @t146 (=> (_ @t223 @t128) @t475)))) 0.47/0.95 (assume @p189 (forall (@list @t217) (=> (not @t491) (exists (@list @t574) (_ @t217 @t574))))) 0.47/0.95 (assume @p190 (= @t262 (lambda @t576 (and (_ @t194 @t575) (_ (_ tptp.ord_less_eq_set_nat @t575) @t193))))) 0.47/0.95 (assume @p191 (forall (@list @t162 @t577 @t25 @t15) (=> (_ @t164 (_ @t577 @t25)) (=> @t27 (=> (forall @t23 (=> @t22 (_ (_ tptp.ord_le1824328871od_a_a (_ @t577 @t20)) (_ @t577 @t19)))) (_ @t164 (_ @t577 @t15))))))) 0.47/0.95 (assume @p192 (forall @t584 (=> (=> @t506 (not @t581)) (=> (=> @t504 (not @t583)) (=> (=> @t583 (not @t582)) (=> (=> @t582 (not @t504)) (=> (=> @t581 (not @t580)) (not (=> @t580 @t507))))))))) 0.47/0.95 (assume @p193 (= @t335 (lambda (@list @t585 @t586) (and (_ (_ tptp.ord_less_eq_set_a @t585) @t586) (_ (_ tptp.ord_less_eq_set_a @t586) @t585))))) 0.47/0.95 (assume @p194 (forall @t469 (= @t467 (or @t514 @t545 (and @t37 @t468))))) 0.47/0.95 (assume @p195 (forall @t10 (= (= tptp.bot_bo2131659635od_a_a @t9) @t8))) 0.47/0.95 (assume @p196 (forall @t372 (=> @t371 (=> @t370 (exists @t369 (and (forall @t367 (=> @t366 (=> (_ (_ tptp.ord_less_eq_set_a @t363) @t54) @t364))) (_ @t55 @t17) @t368)))))) 0.47/0.95 (assume @p197 (forall (@list @t78 @t128 @t588 @t587) (=> @t475 (=> (forall @t120 (=> @t382 (_ (_ tptp.ord_less_eq_set_nat (_ @t588 @t113)) (_ @t587 @t113)))) (_ (_ tptp.ord_le492294332_a_nat @t589) (_ (_ tptp.produc931712687_a_nat @t128) @t587)))))) 0.47/0.95 (assume @p198 (forall @t226 (= (_ tptp.finite179568208od_a_a (_ tptp.collec645855634od_a_a (lambda @t7 (or @t191 @t6)))) (and @t487 @t269)))) 0.47/0.95 (assume @p199 (forall (@list @t590) (= @t590 (_ (_ (_ tptp.pair_p1167410509t_unit @t593) @t592) @t591)))) 0.47/0.95 (assume @p200 (forall (@list @t531) (= @t531 (_ (_ (_ tptp.pair_p1621517565t_unit @t534) @t533) @t532)))) 0.47/0.95 (assume @p201 (= tptp.ord_less_eq_set_nat (lambda @t576 (forall @t244 (=> @t595 @t594))))) 0.47/0.95 (assume @p202 (forall (@list @t51 @t567 @t161 @t302) (=> (= @t51 @t571) (=> @t304 (=> @t569 (_ @t52 (_ @t567 @t302))))))) 0.47/0.95 (assume @p203 (forall @t473 (=> @t527 (=> @t471 @t596)))) 0.47/0.95 (assume @p204 (forall (@list @t590 @t597) (=> (= @t593 (_ tptp.pair_p1677060310t_unit @t597)) (=> (= @t592 (_ tptp.pair_p715279805t_unit @t597)) (=> (= @t591 (_ tptp.pair_p69470259t_unit @t597)) (= @t590 @t597)))))) 0.47/0.95 (assume @p205 (forall @t599 (=> @t442 (=> (_ (_ tptp.ord_less_eq_nat @t391) @t15) @t598)))) 0.47/0.95 (assume @p206 (forall (@list @t553) (=> (not @t554) (exists (@list @t600) (_ @t553 @t600))))) 0.47/0.95 (assume @p207 (forall (@list @t601 @t602) (=> @t607 (= @t605 @t603)))) 0.47/0.95 (assume @p208 (forall (@list @t32 @t466 @t609) (=> @t126 (=> @t468 (=> (forall @t111 (=> @t125 (exists @t614 (and @t613 (_ (_ @t609 @t20) @t612))))) (exists @t611 (and @t610 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t117 (and @t116 (_ (_ @t609 @t114) @t608))))))))))))) 0.47/0.95 (assume @p209 (forall @t280 (=> @t177 (=> @t524 (not @t540))))) 0.47/0.95 (assume @p210 (forall @t547 (=> @t177 (=> @t548 (not @t546))))) 0.47/0.95 (assume @p211 (forall @t616 (=> @t327 (=> (_ (_ tptp.ord_less_eq_nat @t143) @t15) @t615)))) 0.47/0.95 (assume @p212 (and (= @t71 (_ tptp.collec645855634od_a_a (_ tptp.produc1833107820_a_a_o (lambda (@list @t618 @t617) (and (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t618) @t617)) @t70) (not (= @t618 @t617))))))) (= (_ tptp.finite_card_a @t67) tptp.n) (_ tptp.finite_finite_a @t67))) 0.47/0.95 (assume @p213 (forall @t112 (= @t108 (forall @t244 (=> @t241 @t509))))) 0.47/0.95 (assume @p214 (forall @t66 (= (_ tptp.collect_nat (lambda @t244 @t245)) @t32))) 0.47/0.95 (assume @p215 (forall @t280 (=> @t127 (=> @t81 @t96)))) 0.47/0.95 (assume @p216 (forall (@list @t316 @t315 @t619) (=> @t321 (=> (_ @t318 @t619) (_ @t320 @t619))))) 0.47/0.95 (assume @p217 (= @t267 (lambda @t362 (and (_ (_ tptp.ord_le1824328871od_a_a @t360) @t209) (_ @t210 @t360))))) 0.47/0.95 (assume @p218 (= tptp.ord_le1824328871od_a_a (lambda @t362 (forall @t7 (=> @t361 @t359))))) 0.47/0.95 (assume @p219 (forall @t430 (=> @t327 (=> (= @t429 @t49) @t428)))) 0.47/0.95 (assume @p220 (forall @t420 (=> @t419 (=> @t418 (exists @t417 (and (_ @t164 @t410) (forall @t414 (=> @t413 (=> (_ @t415 @t409) @t411))) @t416)))))) 0.47/0.95 (assume @p221 (forall @t180 (=> @t101 (=> @t247 @t351)))) 0.47/0.95 (assume @p222 (forall @t519 (=> @t37 (=> @t95 @t518)))) 0.47/0.95 (assume @p223 (forall (@list @t51) (_ @t52 @t51))) 0.47/0.95 (assume @p224 (forall (@list @t154 @t153 @t620) (=> @t159 (=> (_ @t156 @t620) (_ @t158 @t620))))) 0.47/0.95 (assume @p225 (forall @t566 (=> @t187 (=> (= @t496 @t49) @t565)))) 0.47/0.95 (assume @p226 (forall @t443 (=> @t500 @t621))) 0.47/0.95 (assume @p227 (forall @t180 (=> @t351 (not (=> @t101 (not @t247)))))) 0.47/0.95 (assume @p228 (forall (@list @t622 @t466) (=> @t624 (=> @t468 @t623)))) 0.47/0.95 (assume @p229 (forall @t547 (=> @t96 (=> @t468 @t546)))) 0.47/0.95 (assume @p230 (forall (@list @t32 @t43 @t625) (=> @t126 (=> @t81 (=> (forall @t111 (=> @t125 (exists @t237 (and @t236 (_ (_ @t625 @t20) @t235))))) (exists @t234 (and (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t117 (and (_ (_ @t625 @t114) @t229) @t116))))) @t233))))))) 0.47/0.95 (assume @p231 (forall (@list @t356 @t354) (=> @t357 (=> @t358 @t355)))) 0.47/0.95 (assume @p232 (forall (@list @t622) (=> @t623 (_ tptp.finite1457549322at_nat (_ tptp.collec1606769740at_nat (lambda (@list @t626) (_ (_ tptp.ord_le841296385at_nat @t626) @t622))))))) 0.47/0.95 (assume @p233 (forall @t628 (=> (= @t17 @t429) @t627))) 0.47/0.95 (assume @p234 (= @t262 (lambda (@list @t630 @t629) (and (_ (_ tptp.ord_less_eq_set_nat @t629) @t630) (_ (_ tptp.ord_less_eq_set_nat @t630) @t629))))) 0.47/0.95 (assume @p235 (forall @t529 (=> @t327 @t631))) 0.47/0.95 (assume @p236 (forall @t499 (= (= @t107 tptp.bot_bot_set_nat) @t498))) 0.47/0.95 (assume @p237 (forall (@list @t99 @t32) (=> @t175 (=> @t101 @t37)))) 0.47/0.95 (assume @p238 (forall (@list @t11 @t394 @t384 @t336) (=> @t513 (=> (forall @t234 (=> @t238 (_ (_ tptp.ord_less_eq_set_a (_ @t384 @t229)) @t339))) (_ (_ tptp.ord_le1824328871od_a_a @t385) (_ (_ tptp.product_Sigma_a_a @t394) @t336)))))) 0.47/0.95 (assume @p239 (forall (@list @t32 @t106 @t104) (= (_ @t65 @t632) (and (_ @t65 @t105) (_ @t65 @t107))))) 0.47/0.95 (assume @p240 (forall (@list @t11 @t217) (_ (_ tptp.ord_less_eq_set_a @t523) @t11))) 0.47/0.95 (assume @p241 (forall (@list @t316) (_ @t320 @t316))) 0.47/0.95 (assume @p242 (forall @t516 (=> @t442 (=> (_ (_ tptp.ord_less_eq_set_nat @t376) @t131) @t515)))) 0.47/0.95 (assume @p243 (forall (@list @t634 @t633) (=> (_ (_ tptp.ord_le841296385at_nat @t634) @t633) (=> (not (_ tptp.finite772653738at_nat @t634)) (not (_ tptp.finite772653738at_nat @t633)))))) 0.47/0.95 (assume @p244 (forall @t178 (= @t174 (or @t12 @t544 (and @t175 @t96))))) 0.47/0.95 (assume @p245 (= tptp.ord_less_eq_set_nat (lambda @t576 (_ (_ tptp.ord_less_eq_nat_o (lambda @t244 @t595)) (lambda @t244 @t594))))) 0.47/0.95 (assume @p246 (forall (@list @t150 @t147 @t32 @t99) (=> @t152 (= (_ (_ tptp.ord_le841296385at_nat (_ @t341 @t635)) (_ (_ tptp.produc45129834at_nat @t99) @t635)) @t101)))) 0.47/0.95 (assume @p247 (forall @t201 (=> (_ @t197 @t200) @t199))) 0.47/0.95 (assume @p248 (forall @t599 (=> @t442 (=> (= @t391 @t15) @t598)))) 0.47/0.95 (assume @p249 (forall @t538 (=> @t187 (=> (= @t63 @t15) @t537)))) 0.47/0.95 (assume @p250 (forall @t349 (=> (or @t3 @t344) (_ tptp.finite1664988688od_a_a (_ tptp.collec1635618130od_a_a (lambda @t348 (and @t347 @t346))))))) 0.47/0.95 (assume @p251 (forall @t473 (=> @t472 @t596))) 0.47/0.95 (assume @p252 (forall (@list @t196) (_ @t197 @t196))) 0.47/0.95 (assume @p253 (forall (@list @t502 @t150) (=> @t504 (= @t506 @t573)))) 0.47/0.95 (assume @p254 (forall (@list @t11 @t92 @t636) (=> @t177 (=> @t95 (=> (forall @t234 (=> @t238 (exists @t123 (and @t122 (_ (_ @t636 @t229) @t121))))) (exists @t120 (and @t119 (not (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t231 (and (_ (_ @t636 @t227) @t113) @t228)))))))))))) 0.47/0.95 (assume @p255 (forall @t383 (=> @t146 (=> @t95 @t82)))) 0.47/0.95 (assume @p256 (forall @t180 (=> @t351 @t247))) 0.47/0.95 (assume @p257 (forall (@list @t161 @t162 @t302) (=> @t167 (=> (_ @t637 @t161) (_ @t637 @t162))))) 0.47/0.95 (assume @p258 (forall (@list @t106 @t150 @t640) (=> @t273 (=> (forall @t111 (=> @t110 (_ @t21 @t640))) (not (forall (@list @t638) (=> (_ @t106 @t638) (not (forall (@list @t639) (=> (_ @t106 @t639) (_ (_ tptp.ord_less_eq_nat @t639) @t638))))))))))) 0.47/0.95 (assume @p259 (forall @t383 (=> @t486 (not (=> @t146 (not @t224)))))) 0.47/0.95 (assume @p260 (forall @t642 (=> (= @t196 @t326) @t641))) 0.47/0.95 (assume @p261 (forall (@list @t47 @t128 @t78 @t92) (=> @t130 (= (_ (_ tptp.ord_le456379495od_a_a (_ @t564 @t643)) (_ (_ tptp.produc304751368od_a_a @t92) @t643)) @t146)))) 0.47/0.95 (assume @p262 (forall @t14 (_ (_ tptp.ord_less_eq_set_a tptp.bot_bot_set_a) @t11))) 0.47/0.95 (assume @p263 (forall @t490 (=> (_ tptp.pair_p159207083od_a_a @t488) @t489))) 0.47/0.95 (assume @p264 (forall @t559 (=> (or @t552 @t554) (_ tptp.finite772653738at_nat (_ tptp.collec7649004at_nat (lambda @t558 (and @t557 @t556))))))) 0.47/0.95 (assume @p265 (= tptp.ord_less_eq_set_a (lambda @t332 (_ (_ tptp.ord_less_eq_a_o (lambda @t219 @t645)) (lambda @t219 @t644))))) 0.47/0.95 (assume @p266 (forall @t508 (or @t504 @t506))) 0.47/0.95 (assume @p267 (forall @t529 (=> @t352 @t631))) 0.47/0.95 (assume @p268 (forall (@list @t92 @t78) (=> @t95 (=> @t146 @t82)))) 0.47/0.95 (assume @p269 (forall @t584 (=> @t506 (=> @t581 @t583)))) 0.47/0.95 (assume @p270 (forall @t180 (=> @t101 (=> @t175 @t37)))) 0.47/0.95 (assume @p271 (forall (@list @t646 @t454) (= (_ (_ tptp.ord_le1347718902_a_a_o (lambda @t7 (_ @t220 @t646))) (lambda @t7 (_ @t220 @t454))) (_ (_ tptp.ord_le1824328871od_a_a @t646) @t454)))) 0.47/0.95 (assume @p272 (forall @t212 (= (_ tptp.collec645855634od_a_a (lambda @t7 @t222)) @t78))) 0.47/0.95 (assume @p273 (forall @t450 (=> (or @t492 @t491) (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t219 (and @t218 @t446))))))) 0.47/0.95 (assume @p274 (= @t335 (lambda (@list @t647 @t648) (and (_ (_ tptp.ord_less_eq_set_a @t647) @t648) (_ (_ tptp.ord_less_eq_set_a @t648) @t647))))) 0.47/0.95 (assume @p275 (forall @t178 (=> @t96 (=> @t175 @t174)))) 0.47/0.95 (assume @p276 (forall (@list @t150 @t147 @t11 @t43) (=> @t152 (= (_ (_ tptp.ord_le2073555219_a_nat (_ @t173 @t649)) (_ (_ tptp.product_Sigma_a_nat @t43) @t649)) @t127)))) 0.47/0.95 (assume @p277 (forall @t651 (=> @t442 (=> (_ (_ tptp.ord_less_eq_set_a @t29) @t49) @t650)))) 0.47/0.95 (assume @p278 (forall @t642 (=> (_ @t197 @t326) @t641))) 0.47/0.95 (assume @p279 (forall @t497 (=> (= @t17 @t496) @t495))) 0.47/0.95 (assume @p280 (forall @t160 (=> @t155 @t159))) 0.47/0.95 (assume @p281 (forall (@list @t11 @t466 @t652) (=> @t177 (=> @t468 (=> (forall @t234 (=> @t238 (exists @t614 (and (_ (_ @t652 @t229) @t612) @t613)))) (exists @t611 (and @t610 (not (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t231 (and @t228 (_ (_ @t652 @t227) @t608))))))))))))) 0.47/0.95 (assume @p282 (forall @t628 (=> (_ @t18 @t429) @t627))) 0.47/0.95 (assume @p283 (forall @t572 (=> @t165 (=> (= @t571 @t15) @t570)))) 0.47/0.95 (assume @p284 (forall (@list @t11 @t43 @t394) (=> @t127 (=> (_ @t278 @t394) @t513)))) 0.47/0.95 (assume @p285 (forall @t208 (=> @t207 @t444))) 0.47/0.95 (assume @p286 (forall (@list @t162) (_ @t164 @t162))) 0.47/0.95 (assume @p287 (forall (@list @t78 @t92 @t47) (=> @t146 (=> (_ @t48 @t78) (_ @t48 @t92))))) 0.47/0.95 (assume @p288 (forall @t383 (=> @t486 @t224))) 0.47/0.95 (assume @p289 (forall (@list @t11 @t217 @t445) (= (_ @t13 (_ tptp.collect_a (lambda @t219 (and @t446 @t218)))) (and (_ @t13 @t448) (_ @t13 @t447))))) 0.47/0.95 (assume @p290 (= tptp.ord_less_eq_set_a (lambda @t332 (forall @t219 (=> @t645 @t644))))) 0.47/0.95 (assume @p291 (forall (@list @t32 @t147 @t340 @t653) (=> @t171 (=> (forall @t111 (=> @t125 (_ (_ tptp.ord_less_eq_set_nat (_ @t340 @t20)) (_ @t653 @t20)))) (_ (_ tptp.ord_le841296385at_nat @t342) (_ (_ tptp.produc45129834at_nat @t147) @t653)))))) 0.47/0.95 (assume @p292 (forall @t440 (=> @t187 (=> (= @t59 @t49) @t438)))) 0.47/0.95 (assume @p293 (forall @t473 (=> (_ tptp.pair_p646030121od_a_a @t470) (=> @t596 @t472)))) 0.47/0.95 (assume @p294 (forall @t655 (=> @t187 (=> (= @t200 @t131) @t654)))) 0.47/0.95 (assume @p295 (forall (@list @t59 @t17 @t49) (=> @t188 (=> (_ @t656 @t59) (_ @t656 @t17))))) 0.47/0.95 (assume @p296 (forall (@list @t47 @t657 @t404 @t5) (=> (_ @t48 @t657) (=> (_ (_ tptp.ord_le1824328871od_a_a @t657) (_ tptp.collec645855634od_a_a (lambda @t7 (and @t405 @t6)))) (_ @t5 @t47))))) 0.47/0.95 (assume @p297 (forall (@list @t15) (not (_ @t100 tptp.bot_bot_set_nat)))) 0.47/0.95 (assume @p298 (forall (@list @t11 @t43 @t658) (=> @t127 (=> (_ @t659 @t11) (_ @t659 @t43))))) 0.47/0.95 (assume @p299 (forall @t651 (=> @t442 (=> (= @t29 @t49) @t650)))) 0.47/0.95 (assume @p300 (forall @t144 (=> (= @t51 @t143) @t142))) 0.47/0.95 (assume @p301 (forall @t280 (=> @t277 @t279))) 0.47/0.95 (assume @p302 (forall @t212 (_ (_ tptp.ord_le1824328871od_a_a tptp.bot_bo2131659635od_a_a) @t78))) 0.47/0.95 (assume @p303 (forall (@list @t466 @t622) (=> @t468 (=> @t624 @t623)))) 0.47/0.95 (assume @p304 (forall @t655 (=> @t187 (=> (_ (_ tptp.ord_less_eq_set_nat @t200) @t131) @t654)))) 0.47/0.95 (assume @p305 (forall (@list @t153 @t154) (=> @t157 (= @t159 @t155)))) 0.47/0.95 (assume @p306 (forall @t499 (=> (not @t550) (exists (@list @t660) (_ @t106 @t660))))) 0.47/0.95 (assume @p307 (forall @t87 (=> @t85 @t86))) 0.47/0.95 (assume @p308 (forall @t519 (=> @t126 (=> @t661 (not @t518))))) 0.47/0.95 (assume @p309 (forall (@list @t602 @t601 @t662) (=> @t605 (=> (_ @t606 @t662) (_ @t604 @t662))))) 0.47/0.95 (assume @p310 (forall (@list @t150) (_ @t505 @t150))) 0.47/0.95 (assume @p311 (forall (@list @t51 @t106) (= (_ @t423 @t107) (_ @t106 @t51)))) 0.47/0.95 (assume @p312 (forall (@list @t436) (not (_ @t437 tptp.bot_bo2131659635od_a_a)))) 0.47/0.95 (assume @p313 (forall @t377 (=> (_ @t197 @t376) @t375))) 0.47/0.95 (assume @p314 (forall (@list @t663 @t5) (= (_ (_ tptp.member449909584od_a_a @t663) @t9) (_ @t5 @t663)))) 0.47/0.95 (assume @p315 (forall @t443 (=> @t442 @t621))) 0.47/0.95 (assume @p316 (forall @t97 (=> @t177 (=> @t661 (not @t94))))) 0.47/0.95 (assume @p317 (forall (@list @t92 @t78 @t189 @t5) (=> @t224 (=> (forall @t120 (=> @t119 (=> @t525 @t526))) (_ (_ tptp.ord_le1824328871od_a_a (_ tptp.collec645855634od_a_a (lambda @t7 (and @t191 @t221)))) @t314))))) 0.47/0.95 (assume @p318 (forall @t280 (=> (forall @t234 (=> @t238 @t233)) @t127))) 0.47/0.95 (assume @p319 (forall @t664 (=> @t603 @t605))) 0.47/0.95 (assume @p320 (forall @t112 (=> (or @t549 @t550) (_ tptp.finite_finite_nat @t632)))) 0.47/0.95 (assume @p321 (forall (@list @t25 @t51 @t15) (=> @t501 (=> (_ @t665 @t25) (_ @t665 @t51))))) 0.47/0.95 (assume @p322 (forall (@list @t78 @t588) (=> @t82 (=> (forall @t465 (=> @t464 (_ tptp.finite_finite_nat (_ @t588 @t463)))) (_ tptp.finite1837575485_a_nat @t589))))) 0.47/0.95 (assume @p323 (forall @t616 (=> @t327 (=> (= @t143 @t15) @t615)))) 0.47/0.95 (assume @p324 (forall @t272 (= @t270 (or @t249 @t544 (and @t82 @t175))))) 0.47/0.95 (assume @p325 (forall (@list @t32 @t99 @t666) (=> @t126 (=> @t175 (=> (forall @t111 (=> @t125 (exists @t313 (and (_ (_ @t666 @t20) @t310) @t312)))) (exists @t111 (and @t179 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t117 (and (_ (_ @t666 @t114) @t20) @t116)))))))))))) 0.47/0.95 (assume @p326 (forall @t508 (=> @t573 @t506))) 0.47/0.95 (assume @p327 (forall @t664 (=> @t605 (=> @t607 @t603)))) 0.47/0.95 (assume @p328 (forall @t66 (= (forall @t244 (not @t245)) @t514))) 0.47/0.95 (assume @p329 (forall @t381 (= (_ tptp.pair_p447552203t_unit @t380) @t379))) 0.47/0.95 (assume @p330 (forall (@list @t78 @t99 @t667) (=> @t271 (=> @t175 (=> (forall @t120 (=> @t382 (exists @t313 (and (_ (_ @t667 @t113) @t310) @t312)))) (exists @t111 (and @t179 (not (_ tptp.finite179568208od_a_a (_ tptp.collec645855634od_a_a (lambda @t403 (and @t402 (_ (_ @t667 @t400) @t20))))))))))))) 0.47/0.95 (assume @p331 (forall (@list @t196 @t139) (=> @t327 (=> @t353 @t352)))) 0.47/0.95 (assume @p332 (forall @t290 (=> @t289 (=> @t288 (exists @t287 (and (forall @t285 (=> @t284 (=> (_ (_ tptp.ord_less_eq_set_nat @t281) @t134) @t282))) (_ @t135 @t196) @t286)))))) 0.47/0.95 (assume @p333 (forall (@list @t602) (_ @t604 @t602))) 0.47/0.95 (assume @p334 (forall @t450 (=> (forall @t234 (=> @t484 @t485)) @t449))) 0.47/0.95 (assume @p335 true) 0.47/0.95 (step @p336 (= tptp.ord_le1824328871od_a_a @t674) :rule refl :args (@t674)) 0.47/0.95 (step @p337 (= tptp.pair_p1864019935ioms_a @t677) :rule refl :args (@t677)) 0.47/0.95 (step @p338 (= tptp.pair_p1802376898raph_a @t678) :rule refl :args (@t678)) 0.47/0.95 (step @p339 (= tptp.ord_less_eq_set_nat @t681) :rule refl :args (@t681)) 0.47/0.95 (step @p340 (= tptp.ord_less_eq_set_a @t684) :rule refl :args (@t684)) 0.47/0.95 (step @p341 (= tptp.finite361944167at_nat @t687) :rule refl :args (@t687)) 0.47/0.95 (step @p342 (= tptp.finite_Fpow_a @t689) :rule refl :args (@t689)) 0.47/0.95 (step @p343 (= tptp.pair_p1027063983ms_nat @t692) :rule refl :args (@t692)) 0.47/0.95 (step @p344 (= tptp.pair_p128415500ph_nat @t693) :rule refl :args (@t693)) 0.47/0.95 (step @p345 (= tptp.pair_p504738056od_a_a @t696) :rule refl :args (@t696)) 0.47/0.95 (step @p346 (= tptp.pair_p1906342088od_a_a @t698) :rule refl :args (@t698)) 0.47/0.95 (step @p347 (= tptp.pair_p374947051od_a_a @t699) :rule refl :args (@t699)) 0.47/0.95 (step @p348 (= tptp.finite_Fpow_nat @t701) :rule refl :args (@t701)) 0.47/0.95 (step @p349 (= tptp.product_product_a_a @t702) :rule refl :args (@t702)) 0.47/0.95 (step @p350 (= tptp.finite351630733od_a_a @t704) :rule refl :args (@t704)) 0.47/0.95 (step @p351 (= tptp.pair_p56914274at_nat @t706) :rule refl :args (@t706)) 0.47/0.95 (step @p352 (= tptp.finite_finite_nat @t708) :rule refl :args (@t708)) 0.47/0.95 (step @p353 (= tptp.finite702915405od_a_a @t711) :rule refl :args (@t711)) 0.47/0.95 (step @p354 :rule skolem_intro :args (@t713)) 0.47/0.95 (step @p355 :rule symm :premises (@p354)) 0.47/0.95 (step @p356 :rule refl :args (@t714)) 0.47/0.95 (step @p357 :rule refl :args (@t712)) 0.47/0.95 (step @p358 :rule refl :args (@t67)) 0.47/0.95 (step @p359 :rule cong :premises (@p358 @p357) :args ((= @t67 @t712))) 0.47/0.95 (step @p360 :rule symm :premises (@p359)) 0.47/0.95 (step @p361 :rule eq_resolve :premises (@p358 @p360)) 0.47/0.95 (step @p362 :rule cong :premises (@p361 @p356) :args ((= @t67 @t714))) 0.47/0.95 (step @p363 :rule eq-symm :args (@t714 @t67)) 0.47/0.95 (step @p364 :rule trans :premises (@p363 @p362)) 0.47/0.95 (step @p365 :rule skolem_intro :args (@t714)) 0.47/0.95 (step @p366 :rule eq_resolve :premises (@p365 @p364)) 0.47/0.95 (step @p367 :rule symm :premises (@p366)) 0.47/0.95 (step @p368 :rule trans :premises (@p367 @p355)) 0.47/0.95 (step @p369 :rule refl :args ((tptp.product_Sigma_a_a @t67 @t68))) 0.47/0.95 (step @p370 :rule cong :premises (@p357) :args (@t715)) 0.47/0.95 (step @p371 :rule cong :premises (@p357 @p370) :args (@t716)) 0.47/0.95 (step @p372 :rule trans :premises (@p371 @p369)) 0.47/0.95 (step @p373 :rule refl :args (tptp.product_Sigma_a_a)) 0.47/0.95 (step @p374 :rule ho_cong :premises (@p373 @p357)) 0.47/0.95 (step @p375 :rule ho_cong :premises (@p374 @p370)) 0.47/0.95 (step @p376 :rule cong :premises (@p375 @p372) :args ((= @t718 @t716))) 0.47/0.95 (step @p377 :rule symm :premises (@p376)) 0.47/0.95 (step @p378 :rule refl :args (@t70)) 0.47/0.95 (step @p379 :rule eq_resolve :premises (@p378 @p377)) 0.47/0.95 (step @p380 :rule eq_resolve :premises (@p358 @p360)) 0.47/0.95 (step @p381 :rule cong :premises (@p380) :args (@t68)) 0.47/0.95 (step @p382 :rule ho_cong :premises (@p373 @p380)) 0.47/0.95 (step @p383 :rule ho_cong :premises (@p382 @p381)) 0.47/0.95 (step @p384 :rule trans :premises (@p383 @p379)) 0.47/0.95 (step @p385 :rule refl :args (@t668)) 0.47/0.95 (step @p386 :rule cong :premises (@p385 @p384) :args (@t719)) 0.47/0.95 (step @p387 :rule refl :args (@t721)) 0.47/0.95 (step @p388 :rule nary_cong :premises (@p387 @p386) :args (@t722)) 0.47/0.95 (step @p389 :rule cong :premises (@p388) :args (@t723)) 0.47/0.95 (step @p390 :rule beta-reduce :args ((= (_ (lambda @t211 (forall @t672 (or @t721 @t724))) @t70) @t723))) 0.47/0.95 (step @p391 :rule trans :premises (@p390 @p389)) 0.47/0.95 (step @p392 :rule refl :args (@t70)) 0.47/0.95 (step @p393 :rule refl :args (@t724)) 0.47/0.95 (step @p394 :rule refl :args (@t720)) 0.47/0.95 (step @p395 :rule refl :args (@t71)) 0.47/0.95 (step @p396 :rule cong :premises (@p395 @p394) :args ((= @t71 @t720))) 0.47/0.95 (step @p397 :rule symm :premises (@p396)) 0.47/0.95 (step @p398 :rule eq_resolve :premises (@p395 @p397)) 0.47/0.95 (step @p399 :rule cong :premises (@p385 @p398) :args (@t725)) 0.47/0.95 (step @p400 :rule cong :premises (@p399) :args (@t726)) 0.47/0.95 (step @p401 :rule nary_cong :premises (@p400 @p393) :args (@t727)) 0.47/0.95 (step @p402 :rule cong :premises (@p401) :args (@t728)) 0.47/0.95 (step @p403 :rule cong :premises (@p402) :args (@t729)) 0.47/0.95 (step @p404 :rule beta-reduce :args ((= (_ @t731 @t71) @t729))) 0.47/0.95 (step @p405 :rule trans :premises (@p404 @p403)) 0.47/0.95 (step @p406 :rule ho_cong :premises (@p405 @p392)) 0.47/0.95 (step @p407 :rule trans :premises (@p406 @p391)) 0.47/0.95 (step @p408 :rule refl :args (@t71)) 0.47/0.95 (step @p409 :rule refl :args (@t724)) 0.47/0.95 (step @p410 :rule refl :args (@t670)) 0.47/0.95 (step @p411 :rule cong :premises (@p410 @p409) :args ((= @t670 @t724))) 0.47/0.95 (step @p412 :rule symm :premises (@p411)) 0.47/0.95 (step @p413 :rule eq_resolve :premises (@p410 @p412)) 0.47/0.95 (step @p414 :rule refl :args (@t730)) 0.47/0.95 (step @p415 :rule refl :args (@t671)) 0.47/0.95 (step @p416 :rule cong :premises (@p415 @p414) :args ((= @t671 @t730))) 0.47/0.95 (step @p417 :rule symm :premises (@p416)) 0.47/0.95 (step @p418 :rule eq_resolve :premises (@p415 @p417)) 0.47/0.95 (step @p419 :rule cong :premises (@p418) :args (@t732)) 0.47/0.95 (step @p420 :rule nary_cong :premises (@p419 @p413) :args (@t733)) 0.47/0.95 (step @p421 :rule cong :premises (@p420) :args ((forall @t672 @t733))) 0.47/0.95 (step @p422 :rule bool-impl-elim :args (@t671 @t670)) 0.47/0.95 (step @p423 :rule cong :premises (@p422) :args (@t673)) 0.47/0.95 (step @p424 :rule trans :premises (@p423 @p421)) 0.47/0.95 (step @p425 :rule cong :premises (@p424) :args (@t674)) 0.47/0.95 (step @p426 :rule trans :premises (@p336 @p425)) 0.47/0.95 (step @p427 :rule ho_cong :premises (@p426 @p408)) 0.47/0.95 (step @p428 :rule ho_cong :premises (@p427 @p392)) 0.47/0.95 (step @p429 :rule trans :premises (@p428 @p407)) 0.47/0.95 (step @p430 :rule eq_resolve :premises (@p10 @p429)) 0.47/0.95 (step @p431 :rule eq-refl :args (@t715)) 0.47/0.95 (step @p432 :rule cong :premises (@p354) :args (@t734)) 0.47/0.95 (step @p433 :rule skolem_intro :args (@t735)) 0.47/0.95 (step @p434 :rule trans :premises (@p433 @p432)) 0.47/0.95 (step @p435 :rule refl :args (@t715)) 0.47/0.95 (step @p436 :rule cong :premises (@p435 @p434) :args ((= @t715 @t735))) 0.47/0.95 (step @p437 :rule trans :premises (@p436 @p431)) 0.47/0.95 (step @p438 :rule true_elim :premises (@p437)) 0.47/0.95 (step @p439 :rule refl :args (@t712)) 0.47/0.95 (step @p440 :rule cong :premises (@p439 @p438) :args (@t716)) 0.47/0.95 (step @p441 :rule refl :args (@t740)) 0.47/0.95 (step @p442 :rule cong :premises (@p441 @p440) :args (@t741)) 0.47/0.95 (step @p443 :rule refl :args (@t743)) 0.47/0.95 (step @p444 :rule nary_cong :premises (@p443 @p442) :args (@t744)) 0.47/0.95 (step @p445 :rule refl :args (@t745)) 0.47/0.95 (step @p446 :rule cong :premises (@p445 @p444) :args ((=> @t745 @t744))) 0.47/0.95 (assume-push @p733 @t745) 0.47/0.95 (step @p448 :rule instantiate :premises (@p430) :args ((@list @t740))) 0.47/0.95 (step-pop @p733 :rule scope :premises (@p448)) 0.47/0.95 (step @p449 :rule process_scope :premises (@p733) :args (@t744)) 0.47/0.95 (step @p451 :rule eq_resolve :premises (@p449 @p446)) 0.47/0.95 (step @p452 :rule implies_elim :premises (@p451)) 0.47/0.95 (step @p453 :rule chain_resolution :premises (@p452 @p430) :args ((@list false) (@list @t745))) 0.47/0.95 (step @p454 :rule refl :args (@t746)) 0.47/0.95 (step @p455 :rule refl :args (@t452)) 0.47/0.95 (step @p456 :rule cong :premises (@p455 @p454) :args ((= @t452 @t746))) 0.47/0.95 (step @p457 :rule symm :premises (@p456)) 0.47/0.95 (step @p458 :rule eq_resolve :premises (@p455 @p457)) 0.47/0.95 (step @p459 :rule cong :premises (@p458) :args (@t453)) 0.47/0.95 (step @p460 :rule refl :args (@t747)) 0.47/0.95 (step @p461 :rule refl :args (@t455)) 0.47/0.95 (step @p462 :rule cong :premises (@p461 @p460) :args ((= @t455 @t747))) 0.47/0.95 (step @p463 :rule symm :premises (@p462)) 0.47/0.95 (step @p464 :rule eq_resolve :premises (@p461 @p463)) 0.47/0.95 (step @p465 :rule refl :args (@t750)) 0.47/0.95 (step @p466 :rule nary_cong :premises (@p465 @p464 @p459) :args (@t751)) 0.47/0.95 (step @p467 :rule cong :premises (@p466) :args ((forall @t459 @t751))) 0.47/0.95 (step @p468 :rule aci_norm :args ((= (or @t750 (or @t455 @t453)) @t751))) 0.47/0.95 (step @p469 :rule refl :args (@t453)) 0.47/0.95 (step @p470 :rule bool-double-not-elim :args (@t455)) 0.47/0.95 (step @p471 :rule nary_cong :premises (@p470 @p469) :args ((or (not @t456) @t453))) 0.47/0.95 (step @p472 :rule bool-impl-elim :args (@t456 @t453)) 0.47/0.95 (step @p473 :rule trans :premises (@p472 @p471)) 0.47/0.95 (step @p474 :rule nary_cong :premises (@p465 @p473) :args ((or @t750 @t457))) 0.47/0.95 (step @p475 :rule trans :premises (@p474 @p468)) 0.47/0.95 (step @p476 :rule bool-impl-elim :args (@t749 @t457)) 0.47/0.95 (step @p477 :rule trans :premises (@p476 @p475)) 0.47/0.95 (step @p478 :rule cong :premises (@p477) :args ((forall @t459 (=> @t749 @t457)))) 0.47/0.95 (step @p479 :rule trans :premises (@p478 @p467)) 0.47/0.95 (step @p480 :rule refl :args (@t457)) 0.47/0.95 (step @p481 :rule beta-reduce :args ((= (_ @t752 @t451) @t749))) 0.47/0.95 (step @p482 :rule refl :args (@t451)) 0.47/0.95 (step @p483 :rule beta-reduce :args ((= @t753 @t752))) 0.47/0.95 (step @p484 :rule ho_cong :premises (@p483 @p482)) 0.47/0.95 (step @p485 :rule trans :premises (@p484 @p481)) 0.47/0.95 (step @p486 :rule cong :premises (@p485 @p480) :args (@t754)) 0.47/0.95 (step @p487 :rule cong :premises (@p486) :args ((forall @t459 @t754))) 0.47/0.95 (step @p488 :rule trans :premises (@p487 @p479)) 0.47/0.95 (step @p489 :rule refl :args (@t454)) 0.47/0.95 (step @p490 :rule ho_cong :premises (@p426 @p489)) 0.47/0.95 (step @p491 :rule ho_cong :premises (@p490 @p482)) 0.47/0.95 (step @p492 :rule cong :premises (@p491 @p480) :args (@t458)) 0.47/0.95 (step @p493 :rule cong :premises (@p492) :args (@t460)) 0.47/0.95 (step @p494 :rule trans :premises (@p493 @p488)) 0.47/0.95 (step @p495 :rule eq_resolve :premises (@p115 @p494)) 0.47/0.95 (step @p496 :rule instantiate :premises (@p495) :args ((@list @t720 @t738))) 0.47/0.95 (step @p497 :rule refl :args ((tptp.finite179568208od_a_a @t755))) 0.47/0.95 (step @p498 :rule refl :args ((tptp.product_Sigma_a_a @t67 @t737))) 0.47/0.95 (step @p499 :rule refl :args (@t737)) 0.47/0.95 (step @p500 :rule cong :premises (@p357 @p499) :args (@t738)) 0.47/0.95 (step @p501 :rule trans :premises (@p500 @p498)) 0.47/0.95 (step @p502 :rule cong :premises (@p501) :args (@t756)) 0.47/0.95 (step @p503 :rule trans :premises (@p502 @p497)) 0.47/0.95 (step @p504 :rule refl :args (tptp.finite179568208od_a_a)) 0.47/0.95 (step @p505 :rule ho_cong :premises (@p504 @p501)) 0.47/0.95 (step @p506 :rule cong :premises (@p505 @p503) :args ((= (_ tptp.finite179568208od_a_a @t738) @t756))) 0.47/0.95 (step @p507 :rule symm :premises (@p506)) 0.47/0.95 (step @p508 :rule refl :args ((_ tptp.finite179568208od_a_a @t755))) 0.47/0.95 (step @p509 :rule eq_resolve :premises (@p508 @p507)) 0.47/0.95 (step @p510 :rule ho_cong :premises (@p374 @p499)) 0.47/0.95 (step @p511 :rule cong :premises (@p510 @p501) :args ((= (_ @t717 @t737) @t738))) 0.47/0.95 (step @p512 :rule symm :premises (@p511)) 0.47/0.95 (step @p513 :rule refl :args (@t755)) 0.47/0.95 (step @p514 :rule eq_resolve :premises (@p513 @p512)) 0.47/0.95 (step @p515 :rule eq-refl :args (@t68)) 0.47/0.95 (step @p516 :rule cong :premises (@p365) :args (@t736)) 0.47/0.95 (step @p517 :rule skolem_intro :args (@t737)) 0.47/0.95 (step @p518 :rule trans :premises (@p517 @p516)) 0.47/0.95 (step @p519 :rule refl :args (@t68)) 0.47/0.95 (step @p520 :rule cong :premises (@p519 @p518) :args ((= @t68 @t737))) 0.47/0.95 (step @p521 :rule trans :premises (@p520 @p515)) 0.47/0.95 (step @p522 :rule true_elim :premises (@p521)) 0.47/0.95 (step @p523 :rule refl :args (tptp.product_Sigma_a_a)) 0.47/0.95 (step @p524 :rule ho_cong :premises (@p523 @p361)) 0.47/0.95 (step @p525 :rule ho_cong :premises (@p524 @p522)) 0.47/0.95 (step @p526 :rule trans :premises (@p525 @p514)) 0.47/0.95 (step @p527 :rule refl :args (tptp.finite179568208od_a_a)) 0.47/0.95 (step @p528 :rule ho_cong :premises (@p527 @p526)) 0.47/0.95 (step @p529 :rule trans :premises (@p528 @p509)) 0.47/0.95 (step @p530 :rule eq_resolve :premises (@p14 @p529)) 0.47/0.95 (step @p531 :rule refl :args ((tptp.finite179568208od_a_a @t71))) 0.47/0.95 (step @p532 :rule cong :premises (@p394) :args (@t757)) 0.47/0.95 (step @p533 :rule trans :premises (@p532 @p531)) 0.47/0.95 (step @p534 :rule ho_cong :premises (@p504 @p394)) 0.47/0.95 (step @p535 :rule cong :premises (@p534 @p533) :args ((= (_ tptp.finite179568208od_a_a @t720) @t757))) 0.47/0.95 (step @p536 :rule symm :premises (@p535)) 0.47/0.95 (step @p537 :rule refl :args (@t307)) 0.47/0.95 (step @p538 :rule eq_resolve :premises (@p537 @p536)) 0.47/0.95 (step @p539 :rule ho_cong :premises (@p527 @p398)) 0.47/0.95 (step @p540 :rule trans :premises (@p539 @p538)) 0.47/0.95 (step @p541 :rule cong :premises (@p540) :args (@t308)) 0.47/0.95 (step @p542 :rule eq_resolve :premises (@p63 @p541)) 0.47/0.95 (step @p543 :rule cnf_or_pos :args (@t760)) 0.47/0.95 (step @p544 :rule reordering :premises (@p543) :args ((or @t757 @t758 @t759 (not @t760)))) 0.47/0.95 (step @p545 :rule chain_resolution :premises (@p544 @p542 @p530 @p496) :args ((@list true false false) (@list @t757 @t756 @t760))) 0.47/0.95 (step @p546 :rule skolemize :premises (@p545)) 0.47/0.95 (step @p547 :rule bool-double-not-elim :args (@t742)) 0.47/0.95 (step @p548 :rule refl :args (@t762)) 0.47/0.95 (step @p549 :rule nary_cong :premises (@p548 @p547) :args ((or @t762 (not @t743)))) 0.47/0.95 (step @p550 :rule cnf_or_neg :args (@t762 0)) 0.47/0.95 (step @p551 :rule eq_resolve :premises (@p550 @p549)) 0.47/0.95 (step @p552 :rule reordering :premises (@p551) :args ((or @t742 @t762))) 0.47/0.95 (step @p553 :rule chain_resolution :premises (@p552 @p546) :args (@t763 @t764)) 0.47/0.95 (step @p554 :rule cnf_or_pos :args (@t767)) 0.47/0.95 (step @p555 :rule reordering :premises (@p554) :args ((or @t743 @t766 (not @t767)))) 0.47/0.95 (step @p556 :rule chain_resolution :premises (@p555 @p553 @p453) :args ((@list false false) (@list @t742 @t767))) 0.47/0.95 (step @p557 :rule refl :args (@t769)) 0.47/0.95 (step @p558 :rule refl :args ((tptp.product_Sigma_a_a @t67 @t735))) 0.47/0.95 (step @p559 :rule refl :args (@t735)) 0.47/0.95 (step @p560 :rule cong :premises (@p357 @p559) :args (@t765)) 0.47/0.95 (step @p561 :rule trans :premises (@p560 @p558)) 0.47/0.95 (step @p562 :rule ho_cong :premises (@p374 @p559)) 0.47/0.95 (step @p563 :rule cong :premises (@p562 @p561) :args ((= @t770 @t765))) 0.47/0.95 (step @p564 :rule symm :premises (@p563)) 0.47/0.95 (step @p565 :rule refl :args ((_ @t69 @t735))) 0.47/0.95 (step @p566 :rule eq_resolve :premises (@p565 @p564)) 0.47/0.95 (step @p567 :rule cong :premises (@p566 @p557) :args (@t771)) 0.47/0.95 (step @p568 :rule refl :args (@t772)) 0.47/0.95 (step @p569 :rule nary_cong :premises (@p568 @p567) :args (@t773)) 0.47/0.95 (step @p570 :rule eq-symm :args (@t769 @t770)) 0.47/0.95 (step @p571 :rule eq-symm :args (@t768 @t717)) 0.47/0.95 (step @p572 :rule nary_cong :premises (@p571 @p570) :args ((and (= @t768 @t717) (= @t769 @t770)))) 0.47/0.95 (step @p573 :rule trans :premises (@p572 @p569)) 0.47/0.95 (step @p574 :rule evaluate :args ((and true true))) 0.47/0.95 (step @p575 :rule eq-refl :args (@t718)) 0.47/0.95 (step @p576 :rule refl :args ((_ @t69 @t68))) 0.47/0.95 (step @p577 :rule ho_cong :premises (@p374 @p370)) 0.47/0.95 (step @p578 :rule trans :premises (@p577 @p576)) 0.47/0.95 (step @p579 :rule cong :premises (@p578 @p375) :args ((= @t774 @t718))) 0.47/0.95 (step @p580 :rule symm :premises (@p579)) 0.47/0.95 (step @p581 :rule eq_resolve :premises (@p378 @p580)) 0.47/0.95 (step @p582 :rule refl :args (@t718)) 0.47/0.95 (step @p583 :rule cong :premises (@p582 @p581) :args (@t775)) 0.47/0.95 (step @p584 :rule trans :premises (@p583 @p575)) 0.47/0.95 (step @p585 :rule eq-refl :args (@t717)) 0.47/0.95 (step @p586 :rule nary_cong :premises (@p585 @p584) :args ((and @t776 @t775))) 0.47/0.95 (step @p587 :rule trans :premises (@p586 @p574)) 0.47/0.95 (step @p588 :rule skolem_intro :args (@t768)) 0.47/0.95 (step @p589 :rule ho_cong :premises (@p588 @p434)) 0.47/0.95 (step @p590 :rule refl :args (@t717)) 0.47/0.95 (step @p591 :rule ho_cong :premises (@p590 @p434)) 0.47/0.95 (step @p592 :rule cong :premises (@p591 @p589) :args (@t771)) 0.47/0.95 (step @p593 :rule cong :premises (@p590 @p588) :args (@t772)) 0.47/0.95 (step @p594 :rule nary_cong :premises (@p593 @p592) :args (@t773)) 0.47/0.95 (step @p595 :rule trans :premises (@p572 @p594 @p587)) 0.47/0.95 (step @p596 :rule true_elim :premises (@p595)) 0.47/0.95 (step @p597 :rule eq_resolve :premises (@p596 @p573)) 0.47/0.95 (step @p598 :rule and_elim :premises (@p597) :args (1)) 0.47/0.95 (step @p599 :rule and_elim :premises (@p597) :args (0)) 0.47/0.95 (step @p600 :rule refl :args (@t779)) 0.47/0.95 (step @p601 :rule refl :args (@t780)) 0.47/0.95 (step @p602 :rule refl :args (@t781)) 0.47/0.95 (step @p603 :rule cong :premises (@p602 @p601) :args ((= @t781 @t780))) 0.47/0.95 (step @p604 :rule symm :premises (@p603)) 0.47/0.95 (step @p605 :rule eq_resolve :premises (@p602 @p604)) 0.47/0.95 (step @p606 :rule cong :premises (@p605 @p600) :args (@t782)) 0.47/0.95 (step @p607 :rule refl :args (@t783)) 0.47/0.95 (step @p608 :rule nary_cong :premises (@p607 @p606) :args (@t784)) 0.47/0.95 (step @p609 :rule eq-symm :args (@t779 @t781)) 0.47/0.95 (step @p610 :rule eq-symm :args (@t778 @t777)) 0.47/0.95 (step @p611 :rule nary_cong :premises (@p610 @p609) :args ((and (= @t778 @t777) (= @t779 @t781)))) 0.47/0.95 (step @p612 :rule trans :premises (@p611 @p608)) 0.47/0.95 (step @p613 :rule eq-refl :args (@t785)) 0.47/0.95 (step @p614 :rule refl :args (@t68)) 0.47/0.95 (step @p615 :rule ho_cong :premises (@p374 @p614)) 0.47/0.95 (step @p616 :rule ho_cong :premises (@p374 @p614)) 0.47/0.95 (step @p617 :rule trans :premises (@p616 @p576)) 0.47/0.95 (step @p618 :rule cong :premises (@p617 @p615) :args ((= @t786 @t785))) 0.47/0.95 (step @p619 :rule symm :premises (@p618)) 0.47/0.95 (step @p620 :rule eq_resolve :premises (@p378 @p619)) 0.47/0.95 (step @p621 :rule refl :args (@t785)) 0.47/0.95 (step @p622 :rule cong :premises (@p621 @p620) :args (@t787)) 0.47/0.95 (step @p623 :rule trans :premises (@p622 @p613)) 0.47/0.95 (step @p624 :rule nary_cong :premises (@p585 @p623) :args ((and @t776 @t787))) 0.47/0.95 (step @p625 :rule trans :premises (@p624 @p574)) 0.47/0.95 (step @p626 :rule ho_cong :premises (@p523 @p354)) 0.47/0.95 (step @p627 :rule skolem_intro :args (@t778)) 0.47/0.95 (step @p628 :rule trans :premises (@p627 @p626)) 0.47/0.95 (step @p629 :rule ho_cong :premises (@p628 @p518)) 0.47/0.95 (step @p630 :rule ho_cong :premises (@p626 @p518)) 0.47/0.95 (step @p631 :rule cong :premises (@p630 @p629) :args (@t782)) 0.47/0.95 (step @p632 :rule cong :premises (@p626 @p628) :args (@t783)) 0.47/0.95 (step @p633 :rule nary_cong :premises (@p632 @p631) :args (@t784)) 0.47/0.95 (step @p634 :rule trans :premises (@p611 @p633 @p625)) 0.47/0.95 (step @p635 :rule true_elim :premises (@p634)) 0.47/0.95 (step @p636 :rule eq_resolve :premises (@p635 @p612)) 0.47/0.95 (step @p637 :rule and_elim :premises (@p636) :args (1)) 0.47/0.95 (step @p638 :rule and_elim :premises (@p636) :args (0)) 0.47/0.95 (step @p639 :rule cnf_or_neg :args (@t762 1)) 0.47/0.95 (step @p640 :rule chain_resolution :premises (@p639 @p546) :args (@t763 @t764)) 0.47/0.95 (step @p641 :rule refl :args (@t788)) 0.47/0.95 (step @p642 :rule refl :args (@t790)) 0.47/0.95 (step @p643 :rule refl :args (@t792)) 0.47/0.95 (step @p644 :rule refl :args (@t793)) 0.47/0.95 (step @p645 :rule refl :args (@t794)) 0.47/0.95 (step @p646 :rule refl :args (@t796)) 0.47/0.95 (step @p647 :rule bool-double-not-elim :args (@t761)) 0.47/0.95 (step @p648 :rule refl :args (@t798)) 0.47/0.95 (step @p649 :rule nary_cong :premises (@p648 @p647 @p646 @p645 @p644 @p643 @p642 @p641) :args ((or @t798 (not @t799) @t796 @t794 @t793 @t792 @t790 @t788))) 0.47/0.95 (assume-push @p735 @t799) 0.47/0.95 (assume-push @p736 @t797) 0.47/0.95 (assume-push @p737 @t791) 0.47/0.95 (assume-push @p738 @t783) 0.47/0.95 (assume-push @p739 @t772) 0.47/0.95 (assume-push @p740 @t795) 0.47/0.95 (assume-push @p741 @t789) 0.47/0.95 (assume-push @p742 @t766) 0.47/0.95 (step @p658 :rule evaluate :args ((= true false))) 0.47/0.95 (step @p659 :rule false_intro :premises (@p640)) 0.47/0.95 (step @p660 :rule refl :args (@t737)) 0.47/0.95 (step @p661 :rule cong :premises (@p354 @p660) :args (@t780)) 0.47/0.95 (step @p662 :rule symm :premises (@p637)) 0.47/0.95 (step @p663 :rule symm :premises (@p740)) 0.47/0.95 (step @p664 :rule ho_cong :premises (@p523 @p355)) 0.47/0.95 (step @p665 :rule trans :premises (@p588 @p664 @p638)) 0.47/0.95 (step @p666 :rule ho_cong :premises (@p665 @p663)) 0.47/0.95 (step @p667 :rule trans :premises (@p598 @p666 @p662 @p661)) 0.47/0.95 (step @p668 :rule cong :premises (@p441 @p667) :args (@t766)) 0.47/0.95 (step @p669 :rule true_intro :premises (@p556)) 0.47/0.95 (step @p670 :rule symm :premises (@p669)) 0.47/0.95 (step @p671 :rule trans :premises (@p670 @p668 @p659)) 0.47/0.95 (step @p672 false :rule eq_resolve :premises (@p671 @p658)) 0.47/0.95 (step-pop @p742 :rule scope :premises (@p672)) 0.47/0.95 (step-pop @p743 :rule scope :premises (@p742)) 0.47/0.95 (step-pop @p744 :rule scope :premises (@p743)) 0.47/0.95 (step-pop @p745 :rule scope :premises (@p744)) 0.47/0.95 (step-pop @p746 :rule scope :premises (@p745)) 0.47/0.95 (step-pop @p747 :rule scope :premises (@p746)) 0.47/0.95 (step-pop @p748 :rule scope :premises (@p747)) 0.47/0.95 (step-pop @p749 :rule scope :premises (@p748)) 0.47/0.95 (step @p673 :rule process_scope :premises (@p749) :args (false)) 0.47/0.95 (assume-push @p751 @t797) 0.47/0.95 (assume-push @p752 @t799) 0.47/0.95 (assume-push @p753 @t795) 0.47/0.95 (assume-push @p754 @t783) 0.47/0.95 (assume-push @p755 @t772) 0.47/0.95 (assume-push @p756 @t791) 0.47/0.95 (assume-push @p757 @t789) 0.47/0.95 (assume-push @p758 @t766) 0.47/0.95 (step @p690 :rule and_intro :premises (@p640 @p355 @p637 @p638 @p599 @p753 @p598 @p556)) 0.47/0.95 (step-pop @p758 :rule scope :premises (@p690)) 0.47/0.95 (step-pop @p759 :rule scope :premises (@p758)) 0.47/0.95 (step-pop @p760 :rule scope :premises (@p759)) 0.47/0.95 (step-pop @p761 :rule scope :premises (@p760)) 0.47/0.95 (step-pop @p762 :rule scope :premises (@p761)) 0.47/0.95 (step-pop @p763 :rule scope :premises (@p762)) 0.47/0.95 (step-pop @p764 :rule scope :premises (@p763)) 0.47/0.95 (step-pop @p765 :rule scope :premises (@p764)) 0.47/0.95 (step @p691 :rule process_scope :premises (@p765) :args (@t800)) 0.47/0.95 (step @p700 :rule implies_elim :premises (@p691)) 0.47/0.95 (step @p701 :rule resolution :premises (@p700 @p673) :args (true @t800)) 0.47/0.95 (step @p702 :rule not_and :premises (@p701)) 0.47/0.95 (step @p703 :rule eq_resolve :premises (@p702 @p649)) 0.47/0.95 (step @p704 :rule reordering :premises (@p703) :args ((or @t798 @t761 @t796 @t794 @t792 @t793 @t790 @t788))) 0.47/0.95 (step @p705 :rule chain_resolution :premises (@p704 @p355 @p640 @p638 @p637 @p599 @p598 @p556) :args ((@list false true false false false false false) (@list @t797 @t761 @t783 @t791 @t772 @t789 @t766))) 0.47/0.95 (step @p706 :rule eq-refl :args (@t712)) 0.47/0.95 (step @p707 :rule beta-reduce :args ((= @t802 @t712))) 0.47/0.95 (step @p708 :rule cong :premises (@p439 @p707) :args ((= @t712 @t802))) 0.47/0.95 (step @p709 :rule trans :premises (@p708 @p706)) 0.47/0.95 (step @p710 :rule refl :args (@t801)) 0.47/0.95 (step @p711 :rule ho_cong :premises (@p434 @p710)) 0.47/0.95 (step @p712 :rule cong :premises (@p354 @p711) :args ((= @t713 @t803))) 0.47/0.95 (step @p713 :rule eq-symm :args (@t803 @t713)) 0.47/0.95 (step @p714 :rule trans :premises (@p713 @p712 @p709)) 0.47/0.95 (step @p715 :rule true_elim :premises (@p714)) 0.47/0.95 (step @p716 :rule eq-refl :args (@t67)) 0.47/0.95 (step @p717 :rule beta-reduce :args ((= @t804 @t67))) 0.47/0.95 (step @p718 :rule refl :args (@t67)) 0.47/0.95 (step @p719 :rule cong :premises (@p718 @p717) :args ((= @t67 @t804))) 0.47/0.95 (step @p720 :rule trans :premises (@p719 @p716)) 0.47/0.95 (step @p721 :rule ho_cong :premises (@p518 @p710)) 0.47/0.95 (step @p722 :rule cong :premises (@p365 @p721) :args ((= @t714 @t805))) 0.47/0.95 (step @p723 :rule eq-symm :args (@t805 @t714)) 0.47/0.95 (step @p724 :rule trans :premises (@p723 @p722 @p720)) 0.47/0.95 (step @p725 :rule true_elim :premises (@p724)) 0.47/0.95 (step @p726 :rule cong :premises (@p725 @p715) :args (@t806)) 0.47/0.95 (step @p727 :rule cong :premises (@p726) :args (@t807)) 0.47/0.95 (step @p728 :rule refl :args (@t795)) 0.47/0.95 (step @p729 :rule nary_cong :premises (@p728 @p727) :args (@t808)) 0.47/0.95 ; WARNING: add trust step for TRUST 0.47/0.95 ; trust TRUST THEORY_LEMMA 0.47/0.95 (step @p730 :rule trust :premises () :args (@t808)) 0.47/0.95 (step @p731 :rule eq_resolve :premises (@p730 @p729)) 0.47/0.95 (step @p732 false :rule chain_resolution :premises (@p731 @p705 @p368) :args ((@list true false) (@list @t795 (= @t714 @t713)))) 0.47/0.95 ) 0.47/0.95 % SZS output end Proof 0.47/0.95 % cvc5 exiting 0.47/0.95 EOF