cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ITP093^1 : TPTP v9.2.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:25:02 AM UTC 2026

% Result   : Theorem 0.48s 1.02s
% Output   : Proof 0.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP093^1 : TPTP v9.2.1. Released v7.5.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n029.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 04:14:17 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.39/0.62  %----Proving TH0
% 0.48/1.02  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.48/1.02  % SZS status Theorem
% 0.48/1.02  % SZS output start Proof
% 0.48/1.02  (
% 0.48/1.02  (declare-sort tptp.a 0)
% 0.48/1.02  (declare-sort tptp.product_prod_a_a 0)
% 0.48/1.02  (declare-sort tptp.set_a 0)
% 0.48/1.02  (declare-sort tptp.set_Product_prod_a_a 0)
% 0.48/1.02  (declare-sort tptp.set_Pr1948701895od_a_a 0)
% 0.48/1.02  (declare-sort tptp.product_unit 0)
% 0.48/1.02  (declare-sort tptp.pair_p1765063010t_unit 0)
% 0.48/1.02  (declare-sort tptp.set_nat 0)
% 0.48/1.02  (declare-sort tptp.set_Pr1986765409at_nat 0)
% 0.48/1.02  (declare-sort tptp.pair_p1914262621t_unit 0)
% 0.48/1.02  (declare-sort tptp.pair_p125712459t_unit 0)
% 0.48/1.02  (declare-sort tptp.nat 0)
% 0.48/1.02  (declare-sort tptp.set_Pr967348953_nat_a 0)
% 0.48/1.02  (declare-sort tptp.set_Pr1689873822_a_a_a 0)
% 0.48/1.02  (declare-sort tptp.set_Pr548851891_a_nat 0)
% 0.48/1.02  (declare-sort tptp.set_Pr681306928od_a_a 0)
% 0.48/1.02  (declare-sort tptp.set_Pr339609346od_a_a 0)
% 0.48/1.02  (declare-sort tptp.set_Pr894832732_a_nat 0)
% 0.48/1.02  (declare-sort tptp.product_prod_nat_nat 0)
% 0.48/1.02  (declare-sort tptp.set_Pr1746169692at_nat 0)
% 0.48/1.02  (declare-sort tptp.set_set_nat 0)
% 0.48/1.02  (declare-sort tptp.pair_p1593840546t_unit 0)
% 0.48/1.02  (declare-sort tptp.set_Pr1295299783od_a_a 0)
% 0.48/1.02  (declare-sort tptp.set_se958357159od_a_a 0)
% 0.48/1.02  (declare-sort tptp.set_Pr1490359111at_nat 0)
% 0.48/1.02  (declare-sort tptp.pair_p2041852168t_unit 0)
% 0.48/1.02  (declare-sort tptp.produc1572603623od_a_a 0)
% 0.48/1.02  (declare-sort tptp.set_se1612935105at_nat 0)
% 0.48/1.02  (declare-sort tptp.set_se1596668135od_a_a 0)
% 0.48/1.02  (declare-sort tptp.set_set_a 0)
% 0.48/1.02  (declare-sort tptp.set_Pr7688842at_nat 0)
% 0.48/1.02  (declare-const tptp.pair_p806300874t_unit (-> tptp.pair_p2041852168t_unit tptp.set_Pr1490359111at_nat))
% 0.48/1.02  (declare-const tptp.finite772653738at_nat (-> tptp.set_Pr1986765409at_nat Bool))
% 0.48/1.02  (declare-const tptp.finite48957584at_nat (-> tptp.set_Pr1490359111at_nat Bool))
% 0.48/1.02  (declare-const tptp.pair_p210955889t_unit (-> tptp.pair_p2041852168t_unit tptp.set_Pr1986765409at_nat))
% 0.48/1.02  (declare-const tptp.pair_p1559300324t_unit (-> tptp.pair_p1593840546t_unit tptp.set_Pr1295299783od_a_a))
% 0.48/1.02  (declare-const tptp.finite256329232od_a_a (-> tptp.set_Pr1295299783od_a_a Bool))
% 0.48/1.02  (declare-const tptp.pair_p1652294923t_unit (-> tptp.pair_p1593840546t_unit tptp.set_Pr1948701895od_a_a))
% 0.48/1.02  (declare-const tptp.finite1664988688od_a_a (-> tptp.set_Pr1948701895od_a_a Bool))
% 0.48/1.02  (declare-const tptp.pair_p1783210148t_unit (-> tptp.pair_p1765063010t_unit tptp.set_Pr1948701895od_a_a))
% 0.48/1.02  (declare-const tptp.pair_p447552203t_unit (-> tptp.pair_p1765063010t_unit tptp.set_Product_prod_a_a))
% 0.48/1.02  (declare-const tptp.finite179568208od_a_a (-> tptp.set_Product_prod_a_a Bool))
% 0.48/1.02  (declare-const tptp.pair_p715279805t_unit (-> tptp.pair_p1914262621t_unit tptp.set_Pr1986765409at_nat))
% 0.48/1.02  (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool))
% 0.48/1.02  (declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool))
% 0.48/1.02  (declare-const tptp.pair_p1677060310t_unit (-> tptp.pair_p1914262621t_unit tptp.set_nat))
% 0.48/1.02  (declare-const tptp.pair_p133601421t_unit (-> tptp.pair_p125712459t_unit tptp.set_Product_prod_a_a))
% 0.48/1.02  (declare-const tptp.pair_p1047056820t_unit (-> tptp.pair_p125712459t_unit tptp.set_a))
% 0.48/1.02  (declare-const tptp.finite_finite_a (-> tptp.set_a Bool))
% 0.48/1.02  (declare-const tptp.member449909584od_a_a (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a Bool))
% 0.48/1.02  (declare-const tptp.ord_le1347718902_a_a_o (-> (-> tptp.product_prod_a_a Bool) (-> tptp.product_prod_a_a Bool) Bool))
% 0.48/1.02  (declare-const tptp.ord_less_eq_nat_o (-> (-> tptp.nat Bool) (-> tptp.nat Bool) Bool))
% 0.48/1.02  (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool))
% 0.48/1.02  (declare-const tptp.ord_less_eq_a_o (-> (-> tptp.a Bool) (-> tptp.a Bool) Bool))
% 0.48/1.02  (declare-const tptp.product_Sigma_a_a (-> tptp.set_a (-> tptp.a tptp.set_a) tptp.set_Product_prod_a_a))
% 0.48/1.02  (declare-const tptp.ord_le841296385at_nat (-> tptp.set_Pr1986765409at_nat tptp.set_Pr1986765409at_nat Bool))
% 0.48/1.02  (declare-const tptp.collec1606769740at_nat (-> (-> tptp.set_Pr1986765409at_nat Bool) tptp.set_se1612935105at_nat))
% 0.48/1.02  (declare-const tptp.ord_le456379495od_a_a (-> tptp.set_Pr1948701895od_a_a tptp.set_Pr1948701895od_a_a Bool))
% 0.48/1.02  (declare-const tptp.collec453062450od_a_a (-> (-> tptp.set_Pr1948701895od_a_a Bool) tptp.set_se958357159od_a_a))
% 0.48/1.02  (declare-const tptp.collec183727474od_a_a (-> (-> tptp.set_Product_prod_a_a Bool) tptp.set_se1596668135od_a_a))
% 0.48/1.02  (declare-const tptp.collect_set_nat (-> (-> tptp.set_nat Bool) tptp.set_set_nat))
% 0.48/1.02  (declare-const tptp.collect_set_a (-> (-> tptp.set_a Bool) tptp.set_set_a))
% 0.48/1.02  (declare-const tptp.pair_p68905728raph_a (-> tptp.pair_p125712459t_unit Bool))
% 0.48/1.02  (declare-const tptp.pair_p1515597646ph_nat (-> tptp.pair_p1914262621t_unit Bool))
% 0.48/1.02  (declare-const tptp.pair_p646030121od_a_a (-> tptp.pair_p1765063010t_unit Bool))
% 0.48/1.02  (declare-const tptp.finite_card_a (-> tptp.set_a tptp.nat))
% 0.48/1.02  (declare-const tptp.n tptp.nat)
% 0.48/1.02  (declare-const tptp.pair_p1167410509t_unit (-> tptp.set_nat tptp.set_Pr1986765409at_nat tptp.product_unit tptp.pair_p1914262621t_unit))
% 0.48/1.02  (declare-const tptp.bot_bot_set_nat tptp.set_nat)
% 0.48/1.02  (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))
% 0.48/1.02  (declare-const tptp.member_set_nat (-> tptp.set_nat tptp.set_set_nat Bool))
% 0.48/1.02  (declare-const tptp.produc1182842125od_a_a (-> tptp.set_nat (-> tptp.nat tptp.set_Product_prod_a_a) tptp.set_Pr339609346od_a_a))
% 0.48/1.02  (declare-const tptp.finite1837575485_a_nat (-> tptp.set_Pr894832732_a_nat Bool))
% 0.48/1.02  (declare-const tptp.member701585322at_nat (-> tptp.product_prod_nat_nat tptp.set_Pr1986765409at_nat Bool))
% 0.48/1.02  (declare-const tptp.produc45129834at_nat (-> tptp.set_nat (-> tptp.nat tptp.set_nat) tptp.set_Pr1986765409at_nat))
% 0.48/1.02  (declare-const tptp.ord_le1816232656od_a_a (-> tptp.set_Pr681306928od_a_a tptp.set_Pr681306928od_a_a Bool))
% 0.48/1.02  (declare-const tptp.finite1808550458_nat_a (-> tptp.set_Pr967348953_nat_a Bool))
% 0.48/1.02  (declare-const tptp.ord_le677315902_a_a_a (-> tptp.set_Pr1689873822_a_a_a tptp.set_Pr1689873822_a_a_a Bool))
% 0.48/1.02  (declare-const tptp.finite1743148308_a_nat (-> tptp.set_Pr548851891_a_nat Bool))
% 0.48/1.02  (declare-const tptp.member1838126896od_a_a (-> tptp.set_Product_prod_a_a tptp.set_se1596668135od_a_a Bool))
% 0.48/1.02  (declare-const tptp.pair_p752841413at_nat (-> tptp.pair_p2041852168t_unit Bool))
% 0.48/1.02  (declare-const tptp.finite676513017od_a_a (-> tptp.set_Pr681306928od_a_a Bool))
% 0.48/1.02  (declare-const tptp.product_Sigma_a_nat (-> tptp.set_a (-> tptp.a tptp.set_nat) tptp.set_Pr548851891_a_nat))
% 0.48/1.02  (declare-const tptp.pair_p69470259t_unit (-> tptp.pair_p1914262621t_unit tptp.product_unit))
% 0.48/1.02  (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))
% 0.48/1.02  (declare-const tptp.produc520147185od_a_a (-> tptp.set_a (-> tptp.a tptp.set_Product_prod_a_a) tptp.set_Pr681306928od_a_a))
% 0.48/1.02  (declare-const tptp.finite1457549322at_nat (-> tptp.set_se1612935105at_nat Bool))
% 0.48/1.02  (declare-const tptp.finite323969008od_a_a (-> tptp.set_se958357159od_a_a Bool))
% 0.48/1.02  (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a))
% 0.48/1.02  (declare-const tptp.ord_le2073555219_a_nat (-> tptp.set_Pr548851891_a_nat tptp.set_Pr548851891_a_nat Bool))
% 0.48/1.02  (declare-const tptp.finite2012248349et_nat (-> tptp.set_set_nat Bool))
% 0.48/1.02  (declare-const tptp.produc292491723at_nat (-> tptp.set_a (-> tptp.a tptp.set_Pr1986765409at_nat) tptp.set_Pr7688842at_nat))
% 0.48/1.02  (declare-const tptp.product_Sigma_nat_a (-> tptp.set_nat (-> tptp.nat tptp.set_a) tptp.set_Pr967348953_nat_a))
% 0.48/1.02  (declare-const tptp.collec1635618130od_a_a (-> (-> tptp.produc1572603623od_a_a Bool) tptp.set_Pr1948701895od_a_a))
% 0.48/1.02  (declare-const tptp.g tptp.pair_p125712459t_unit)
% 0.48/1.02  (declare-const tptp.finite1145471536od_a_a (-> tptp.set_se1596668135od_a_a Bool))
% 0.48/1.02  (declare-const tptp.collec7649004at_nat (-> (-> tptp.product_prod_nat_nat Bool) tptp.set_Pr1986765409at_nat))
% 0.48/1.02  (declare-const tptp.member_set_a (-> tptp.set_a tptp.set_set_a Bool))
% 0.48/1.02  (declare-const tptp.finite942416723at_nat (-> tptp.set_Pr7688842at_nat Bool))
% 0.48/1.02  (declare-const tptp.pair_p159207083od_a_a (-> tptp.pair_p1593840546t_unit Bool))
% 0.48/1.02  (declare-const tptp.collec645855634od_a_a (-> (-> tptp.product_prod_a_a Bool) tptp.set_Product_prod_a_a))
% 0.48/1.02  (declare-const tptp.finite1297454819od_a_a (-> tptp.set_Pr339609346od_a_a Bool))
% 0.48/1.02  (declare-const tptp.produc894163943at_nat (-> tptp.set_nat (-> tptp.nat tptp.set_Pr1986765409at_nat) tptp.set_Pr1746169692at_nat))
% 0.48/1.02  (declare-const tptp.finite277291581at_nat (-> tptp.set_Pr1746169692at_nat Bool))
% 0.48/1.02  (declare-const tptp.ord_le492294332_a_nat (-> tptp.set_Pr894832732_a_nat tptp.set_Pr894832732_a_nat Bool))
% 0.48/1.02  (declare-const tptp.finite1919032935_a_a_a (-> tptp.set_Pr1689873822_a_a_a Bool))
% 0.48/1.02  (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))
% 0.48/1.02  (declare-const tptp.ord_le2084554594od_a_a (-> tptp.set_Pr339609346od_a_a tptp.set_Pr339609346od_a_a Bool))
% 0.48/1.02  (declare-const tptp.ord_le344568633_nat_a (-> tptp.set_Pr967348953_nat_a tptp.set_Pr967348953_nat_a Bool))
% 0.48/1.02  (declare-const tptp.pair_p1896222615t_unit (-> tptp.pair_p125712459t_unit tptp.product_unit))
% 0.48/1.02  (declare-const tptp.pair_p1984658862t_unit (-> tptp.pair_p1765063010t_unit tptp.product_unit))
% 0.48/1.02  (declare-const tptp.pair_p1621517565t_unit (-> tptp.set_a tptp.set_Product_prod_a_a tptp.product_unit tptp.pair_p125712459t_unit))
% 0.48/1.02  (declare-const tptp.pair_p398687508t_unit (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a tptp.product_unit tptp.pair_p1765063010t_unit))
% 0.48/1.02  (declare-const tptp.bot_bo2131659635od_a_a tptp.set_Product_prod_a_a)
% 0.48/1.02  (declare-const tptp.bot_bot_set_a tptp.set_a)
% 0.48/1.02  (declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.set_nat))
% 0.48/1.02  (declare-const tptp.bot_bo2130386637at_nat tptp.set_Pr1986765409at_nat)
% 0.48/1.02  (declare-const tptp.product_Pair_a_a (-> tptp.a tptp.a tptp.product_prod_a_a))
% 0.48/1.02  (declare-const tptp.finite_finite_set_a (-> tptp.set_set_a Bool))
% 0.48/1.02  (declare-const tptp.produc1833107820_a_a_o (-> (-> tptp.a tptp.a Bool) tptp.product_prod_a_a Bool))
% 0.48/1.02  (define tptp.pair_p56914274at_nat () (let ((_let_1 (@var "G" tptp.pair_p2041852168t_unit))) (lambda (@list _let_1) (and (_ tptp.finite772653738at_nat (_ tptp.pair_p210955889t_unit _let_1)) (_ tptp.finite48957584at_nat (_ tptp.pair_p806300874t_unit _let_1))))))
% 0.48/1.02  (define tptp.pair_p1906342088od_a_a () (let ((_let_1 (@var "G" tptp.pair_p1593840546t_unit))) (lambda (@list _let_1) (and (_ tptp.finite1664988688od_a_a (_ tptp.pair_p1652294923t_unit _let_1)) (_ tptp.finite256329232od_a_a (_ tptp.pair_p1559300324t_unit _let_1))))))
% 0.48/1.02  (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))))))
% 0.48/1.02  (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)))))))))
% 0.48/1.02  (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))))))
% 0.48/1.02  (define tptp.pair_p1864019935ioms_a () (let ((_let_1 (@var "G" tptp.pair_p125712459t_unit))) (lambda (@list _let_1) (and (_ tptp.finite_finite_a (_ tptp.pair_p1047056820t_unit _let_1)) (_ tptp.finite179568208od_a_a (_ tptp.pair_p133601421t_unit _let_1))))))
% 0.48/1.02  (define tptp.ord_le1824328871od_a_a () (let ((_let_1 (@var "B2" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "X2" tptp.product_prod_a_a))) (let ((_let_3 (_ tptp.member449909584od_a_a _let_2))) (let ((_let_4 (@list _let_2))) (let ((_let_5 (@var "A5" tptp.set_Product_prod_a_a))) (lambda (@list _let_5 _let_1) (_ (_ tptp.ord_le1347718902_a_a_o (lambda _let_4 (_ _let_3 _let_5))) (lambda _let_4 (_ _let_3 _let_1))))))))))
% 0.48/1.02  (define tptp.ord_less_eq_set_nat () (let ((_let_1 (@var "B2" tptp.set_nat))) (let ((_let_2 (@var "X2" tptp.nat))) (let ((_let_3 (_ tptp.member_nat _let_2))) (let ((_let_4 (@list _let_2))) (let ((_let_5 (@var "A5" tptp.set_nat))) (lambda (@list _let_5 _let_1) (_ (_ tptp.ord_less_eq_nat_o (lambda _let_4 (_ _let_3 _let_5))) (lambda _let_4 (_ _let_3 _let_1))))))))))
% 0.48/1.02  (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B2" tptp.set_a))) (let ((_let_2 (@var "X2" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@list _let_2))) (let ((_let_5 (@var "A5" tptp.set_a))) (lambda (@list _let_5 _let_1) (_ (_ tptp.ord_less_eq_a_o (lambda _let_4 (_ _let_3 _let_5))) (lambda _let_4 (_ _let_3 _let_1))))))))))
% 0.48/1.02  (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))))))
% 0.48/1.02  (define tptp.finite361944167at_nat () (let ((_let_1 (@var "X5" tptp.set_Pr1986765409at_nat))) (let ((_let_2 (@var "A5" tptp.set_Pr1986765409at_nat))) (lambda (@list _let_2) (_ tptp.collec1606769740at_nat (lambda (@list _let_1) (and (_ (_ tptp.ord_le841296385at_nat _let_1) _let_2) (_ tptp.finite772653738at_nat _let_1))))))))
% 0.48/1.02  (define tptp.finite702915405od_a_a () (let ((_let_1 (@var "X5" tptp.set_Pr1948701895od_a_a))) (let ((_let_2 (@var "A5" tptp.set_Pr1948701895od_a_a))) (lambda (@list _let_2) (_ tptp.collec453062450od_a_a (lambda (@list _let_1) (and (_ (_ tptp.ord_le456379495od_a_a _let_1) _let_2) (_ tptp.finite1664988688od_a_a _let_1))))))))
% 0.48/1.02  (define tptp.finite351630733od_a_a () (let ((_let_1 (@var "X5" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "A5" tptp.set_Product_prod_a_a))) (lambda (@list _let_2) (_ tptp.collec183727474od_a_a (lambda (@list _let_1) (and (_ (_ tptp.ord_le1824328871od_a_a _let_1) _let_2) (_ tptp.finite179568208od_a_a _let_1))))))))
% 0.48/1.02  (define tptp.finite_Fpow_nat () (let ((_let_1 (@var "X5" tptp.set_nat))) (let ((_let_2 (@var "A5" tptp.set_nat))) (lambda (@list _let_2) (_ tptp.collect_set_nat (lambda (@list _let_1) (and (_ (_ tptp.ord_less_eq_set_nat _let_1) _let_2) (_ tptp.finite_finite_nat _let_1))))))))
% 0.48/1.02  (define tptp.finite_Fpow_a () (let ((_let_1 (@var "X5" tptp.set_a))) (let ((_let_2 (@var "A5" tptp.set_a))) (lambda (@list _let_2) (_ tptp.collect_set_a (lambda (@list _let_1) (and (_ (_ tptp.ord_less_eq_set_a _let_1) _let_2) (_ tptp.finite_finite_a _let_1))))))))
% 0.48/1.02  (define tptp.pair_p1802376898raph_a () (let ((_let_1 (@var "G" tptp.pair_p125712459t_unit))) (lambda (@list _let_1) (and (_ tptp.pair_p68905728raph_a _let_1) (_ tptp.pair_p1864019935ioms_a _let_1)))))
% 0.48/1.02  (define tptp.pair_p128415500ph_nat () (let ((_let_1 (@var "G" tptp.pair_p1914262621t_unit))) (lambda (@list _let_1) (and (_ tptp.pair_p1515597646ph_nat _let_1) (_ tptp.pair_p1027063983ms_nat _let_1)))))
% 0.48/1.02  (define tptp.pair_p374947051od_a_a () (let ((_let_1 (@var "G" tptp.pair_p1765063010t_unit))) (lambda (@list _let_1) (and (_ tptp.pair_p646030121od_a_a _let_1) (_ tptp.pair_p504738056od_a_a _let_1)))))
% 0.48/1.02  (define @t1 () (_ tptp.pair_p1047056820t_unit tptp.g))
% 0.48/1.02  (define @t2 () (@list (@var "Uu" tptp.a)))
% 0.48/1.02  (define @t3 () (lambda @t2 @t1))
% 0.48/1.02  (define @t4 () (_ tptp.product_Sigma_a_a @t1))
% 0.48/1.02  (define @t5 () (_ @t4 @t3))
% 0.48/1.02  (define @t6 () (_ tptp.pair_p133601421t_unit tptp.g))
% 0.48/1.02  (define @t7 () (@var "G2" tptp.pair_p2041852168t_unit))
% 0.48/1.02  (define @t8 () (_ tptp.finite772653738at_nat (_ tptp.pair_p210955889t_unit @t7)))
% 0.48/1.02  (define @t9 () (@list @t7))
% 0.48/1.02  (define @t10 () (@var "G2" tptp.pair_p1593840546t_unit))
% 0.48/1.02  (define @t11 () (_ tptp.finite1664988688od_a_a (_ tptp.pair_p1652294923t_unit @t10)))
% 0.48/1.02  (define @t12 () (@list @t10))
% 0.48/1.02  (define @t13 () (@var "G2" tptp.pair_p1765063010t_unit))
% 0.48/1.02  (define @t14 () (_ tptp.pair_p504738056od_a_a @t13))
% 0.48/1.02  (define @t15 () (_ tptp.finite1664988688od_a_a (_ tptp.pair_p1783210148t_unit @t13)))
% 0.48/1.02  (define @t16 () (_ tptp.finite179568208od_a_a (_ tptp.pair_p447552203t_unit @t13)))
% 0.48/1.02  (define @t17 () (@list @t13))
% 0.48/1.02  (define @t18 () (@var "G2" tptp.pair_p1914262621t_unit))
% 0.48/1.02  (define @t19 () (_ tptp.pair_p1027063983ms_nat @t18))
% 0.48/1.02  (define @t20 () (_ tptp.finite772653738at_nat (_ tptp.pair_p715279805t_unit @t18)))
% 0.48/1.02  (define @t21 () (_ tptp.finite_finite_nat (_ tptp.pair_p1677060310t_unit @t18)))
% 0.48/1.02  (define @t22 () (@list @t18))
% 0.48/1.02  (define @t23 () (@var "G2" tptp.pair_p125712459t_unit))
% 0.48/1.02  (define @t24 () (_ tptp.pair_p1864019935ioms_a @t23))
% 0.48/1.02  (define @t25 () (_ tptp.finite179568208od_a_a (_ tptp.pair_p133601421t_unit @t23)))
% 0.48/1.02  (define @t26 () (_ tptp.finite_finite_a (_ tptp.pair_p1047056820t_unit @t23)))
% 0.48/1.02  (define @t27 () (@list @t23))
% 0.48/1.02  (define @t28 () (_ tptp.pair_p128415500ph_nat @t18))
% 0.48/1.02  (define @t29 () (_ tptp.pair_p374947051od_a_a @t13))
% 0.48/1.02  (define @t30 () (_ tptp.pair_p1802376898raph_a @t23))
% 0.48/1.02  (define @t31 () (@var "A" tptp.set_Pr1986765409at_nat))
% 0.48/1.02  (define @t32 () (_ tptp.finite772653738at_nat @t31))
% 0.48/1.02  (define @t33 () (@var "B" tptp.set_Pr1986765409at_nat))
% 0.48/1.02  (define @t34 () (_ tptp.finite772653738at_nat @t33))
% 0.48/1.02  (define @t35 () (_ (_ tptp.ord_le841296385at_nat @t31) @t33))
% 0.48/1.02  (define @t36 () (@var "A" tptp.set_Pr1948701895od_a_a))
% 0.48/1.02  (define @t37 () (_ tptp.finite1664988688od_a_a @t36))
% 0.48/1.02  (define @t38 () (@var "B" tptp.set_Pr1948701895od_a_a))
% 0.48/1.02  (define @t39 () (_ tptp.finite1664988688od_a_a @t38))
% 0.48/1.02  (define @t40 () (_ (_ tptp.ord_le456379495od_a_a @t36) @t38))
% 0.48/1.02  (define @t41 () (@var "A" tptp.set_a))
% 0.48/1.02  (define @t42 () (_ tptp.finite_finite_a @t41))
% 0.48/1.02  (define @t43 () (@var "B" tptp.set_a))
% 0.48/1.02  (define @t44 () (_ tptp.finite_finite_a @t43))
% 0.48/1.02  (define @t45 () (_ tptp.ord_less_eq_set_a @t41))
% 0.48/1.02  (define @t46 () (_ @t45 @t43))
% 0.48/1.02  (define @t47 () (@list @t41 @t43))
% 0.48/1.02  (define @t48 () (@var "A" tptp.set_nat))
% 0.48/1.02  (define @t49 () (_ tptp.finite_finite_nat @t48))
% 0.48/1.02  (define @t50 () (@var "B" tptp.set_nat))
% 0.48/1.02  (define @t51 () (_ tptp.finite_finite_nat @t50))
% 0.48/1.02  (define @t52 () (_ tptp.ord_less_eq_set_nat @t48))
% 0.48/1.02  (define @t53 () (_ @t52 @t50))
% 0.48/1.02  (define @t54 () (@list @t48 @t50))
% 0.48/1.02  (define @t55 () (@var "A" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t56 () (_ tptp.finite179568208od_a_a @t55))
% 0.48/1.02  (define @t57 () (@var "B" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t58 () (_ tptp.finite179568208od_a_a @t57))
% 0.48/1.02  (define @t59 () (=> @t58 @t56))
% 0.48/1.02  (define @t60 () (_ tptp.ord_le1824328871od_a_a @t55))
% 0.48/1.02  (define @t61 () (_ @t60 @t57))
% 0.48/1.02  (define @t62 () (=> @t61 @t59))
% 0.48/1.02  (define @t63 () (@list @t55 @t57))
% 0.48/1.02  (define @t64 () (forall @t63 @t62))
% 0.48/1.02  (define @t65 () (@var "T" tptp.set_Pr1986765409at_nat))
% 0.48/1.02  (define @t66 () (@var "S" tptp.set_Pr1986765409at_nat))
% 0.48/1.02  (define @t67 () (@var "T" tptp.set_Pr1948701895od_a_a))
% 0.48/1.02  (define @t68 () (@var "S" tptp.set_Pr1948701895od_a_a))
% 0.48/1.02  (define @t69 () (@var "T" tptp.set_a))
% 0.48/1.02  (define @t70 () (@var "S" tptp.set_a))
% 0.48/1.02  (define @t71 () (@var "T" tptp.set_nat))
% 0.48/1.02  (define @t72 () (@var "S" tptp.set_nat))
% 0.48/1.02  (define @t73 () (not (_ tptp.finite_finite_nat @t72)))
% 0.48/1.02  (define @t74 () (@var "T" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t75 () (@var "S" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t76 () (@var "Xa" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t77 () (@var "X" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t78 () (= @t77 @t76))
% 0.48/1.02  (define @t79 () (_ tptp.ord_le1824328871od_a_a @t77))
% 0.48/1.02  (define @t80 () (@var "A" tptp.set_se1596668135od_a_a))
% 0.48/1.02  (define @t81 () (_ (_ tptp.member1838126896od_a_a @t76) @t80))
% 0.48/1.02  (define @t82 () (@list @t76))
% 0.48/1.02  (define @t83 () (@var "A2" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t84 () (_ tptp.ord_le1824328871od_a_a @t83))
% 0.48/1.02  (define @t85 () (_ (_ tptp.member1838126896od_a_a @t77) @t80))
% 0.48/1.02  (define @t86 () (@list @t77))
% 0.48/1.02  (define @t87 () (_ (_ tptp.member1838126896od_a_a @t83) @t80))
% 0.48/1.02  (define @t88 () (_ tptp.finite1145471536od_a_a @t80))
% 0.48/1.02  (define @t89 () (@list @t80 @t83))
% 0.48/1.02  (define @t90 () (@var "Xa" tptp.nat))
% 0.48/1.02  (define @t91 () (@var "X" tptp.nat))
% 0.48/1.02  (define @t92 () (= @t91 @t90))
% 0.48/1.02  (define @t93 () (_ tptp.ord_less_eq_nat @t91))
% 0.48/1.02  (define @t94 () (_ tptp.member_nat @t90))
% 0.48/1.02  (define @t95 () (_ @t94 @t48))
% 0.48/1.02  (define @t96 () (@list @t90))
% 0.48/1.02  (define @t97 () (@var "A2" tptp.nat))
% 0.48/1.02  (define @t98 () (_ tptp.ord_less_eq_nat @t97))
% 0.48/1.02  (define @t99 () (_ tptp.member_nat @t91))
% 0.48/1.02  (define @t100 () (_ @t99 @t48))
% 0.48/1.02  (define @t101 () (@list @t91))
% 0.48/1.02  (define @t102 () (_ tptp.member_nat @t97))
% 0.48/1.02  (define @t103 () (_ @t102 @t48))
% 0.48/1.02  (define @t104 () (@list @t48 @t97))
% 0.48/1.02  (define @t105 () (@var "Xa" tptp.set_nat))
% 0.48/1.02  (define @t106 () (@var "X" tptp.set_nat))
% 0.48/1.02  (define @t107 () (= @t106 @t105))
% 0.48/1.02  (define @t108 () (_ tptp.ord_less_eq_set_nat @t106))
% 0.48/1.02  (define @t109 () (@var "A" tptp.set_set_nat))
% 0.48/1.02  (define @t110 () (_ (_ tptp.member_set_nat @t105) @t109))
% 0.48/1.02  (define @t111 () (@list @t105))
% 0.48/1.02  (define @t112 () (@var "A2" tptp.set_nat))
% 0.48/1.02  (define @t113 () (_ tptp.ord_less_eq_set_nat @t112))
% 0.48/1.02  (define @t114 () (_ (_ tptp.member_set_nat @t106) @t109))
% 0.48/1.02  (define @t115 () (@list @t106))
% 0.48/1.02  (define @t116 () (_ (_ tptp.member_set_nat @t112) @t109))
% 0.48/1.02  (define @t117 () (_ tptp.finite2012248349et_nat @t109))
% 0.48/1.02  (define @t118 () (@list @t109 @t112))
% 0.48/1.02  (define @t119 () (@var "Xa" tptp.set_a))
% 0.48/1.02  (define @t120 () (@var "X" tptp.set_a))
% 0.48/1.02  (define @t121 () (= @t120 @t119))
% 0.48/1.02  (define @t122 () (_ tptp.ord_less_eq_set_a @t120))
% 0.48/1.02  (define @t123 () (@var "A" tptp.set_set_a))
% 0.48/1.02  (define @t124 () (_ (_ tptp.member_set_a @t119) @t123))
% 0.48/1.02  (define @t125 () (@list @t119))
% 0.48/1.02  (define @t126 () (@var "A2" tptp.set_a))
% 0.48/1.02  (define @t127 () (_ tptp.ord_less_eq_set_a @t126))
% 0.48/1.02  (define @t128 () (_ (_ tptp.member_set_a @t120) @t123))
% 0.48/1.02  (define @t129 () (@list @t120))
% 0.48/1.02  (define @t130 () (_ (_ tptp.member_set_a @t126) @t123))
% 0.48/1.02  (define @t131 () (_ tptp.finite_finite_set_a @t123))
% 0.48/1.02  (define @t132 () (@list @t123 @t126))
% 0.48/1.02  (define @t133 () (@var "X2" tptp.product_prod_a_a))
% 0.48/1.02  (define @t134 () (@var "Q" (-> tptp.product_prod_a_a Bool)))
% 0.48/1.02  (define @t135 () (_ @t134 @t133))
% 0.48/1.02  (define @t136 () (@var "P" (-> tptp.product_prod_a_a Bool)))
% 0.48/1.02  (define @t137 () (_ @t136 @t133))
% 0.48/1.02  (define @t138 () (@list @t133))
% 0.48/1.02  (define @t139 () (_ tptp.collec645855634od_a_a (lambda @t138 (and @t137 @t135))))
% 0.48/1.02  (define @t140 () (_ tptp.collec645855634od_a_a @t134))
% 0.48/1.02  (define @t141 () (_ tptp.finite179568208od_a_a @t140))
% 0.48/1.02  (define @t142 () (_ tptp.collec645855634od_a_a @t136))
% 0.48/1.02  (define @t143 () (_ tptp.finite179568208od_a_a @t142))
% 0.48/1.02  (define @t144 () (@list @t136 @t134))
% 0.48/1.02  (define @t145 () (@var "X2" tptp.a))
% 0.48/1.02  (define @t146 () (@var "Q" (-> tptp.a Bool)))
% 0.48/1.02  (define @t147 () (_ @t146 @t145))
% 0.48/1.02  (define @t148 () (@var "P" (-> tptp.a Bool)))
% 0.48/1.02  (define @t149 () (_ @t148 @t145))
% 0.48/1.02  (define @t150 () (@list @t145))
% 0.48/1.02  (define @t151 () (_ tptp.collect_a (lambda @t150 (and @t149 @t147))))
% 0.48/1.02  (define @t152 () (_ tptp.collect_a @t146))
% 0.48/1.02  (define @t153 () (_ tptp.finite_finite_a @t152))
% 0.48/1.02  (define @t154 () (_ tptp.collect_a @t148))
% 0.48/1.02  (define @t155 () (_ tptp.finite_finite_a @t154))
% 0.48/1.02  (define @t156 () (@list @t148 @t146))
% 0.48/1.02  (define @t157 () (@var "X2" tptp.nat))
% 0.48/1.02  (define @t158 () (@var "Q" (-> tptp.nat Bool)))
% 0.48/1.02  (define @t159 () (_ @t158 @t157))
% 0.48/1.02  (define @t160 () (@var "P" (-> tptp.nat Bool)))
% 0.48/1.02  (define @t161 () (_ @t160 @t157))
% 0.48/1.02  (define @t162 () (@list @t157))
% 0.48/1.02  (define @t163 () (_ tptp.collect_nat (lambda @t162 (and @t161 @t159))))
% 0.48/1.02  (define @t164 () (_ tptp.collect_nat @t158))
% 0.48/1.02  (define @t165 () (_ tptp.finite_finite_nat @t164))
% 0.48/1.02  (define @t166 () (_ tptp.collect_nat @t160))
% 0.48/1.02  (define @t167 () (_ tptp.finite_finite_nat @t166))
% 0.48/1.02  (define @t168 () (@list @t160 @t158))
% 0.48/1.02  (define @t169 () (@var "X2" tptp.product_prod_nat_nat))
% 0.48/1.02  (define @t170 () (@var "Q" (-> tptp.product_prod_nat_nat Bool)))
% 0.48/1.02  (define @t171 () (_ @t170 @t169))
% 0.48/1.02  (define @t172 () (@var "P" (-> tptp.product_prod_nat_nat Bool)))
% 0.48/1.02  (define @t173 () (_ @t172 @t169))
% 0.48/1.02  (define @t174 () (@list @t169))
% 0.48/1.02  (define @t175 () (_ tptp.finite772653738at_nat (_ tptp.collec7649004at_nat @t170)))
% 0.48/1.02  (define @t176 () (_ tptp.finite772653738at_nat (_ tptp.collec7649004at_nat @t172)))
% 0.48/1.02  (define @t177 () (@list @t172 @t170))
% 0.48/1.02  (define @t178 () (@var "X2" tptp.produc1572603623od_a_a))
% 0.48/1.02  (define @t179 () (@var "Q" (-> tptp.produc1572603623od_a_a Bool)))
% 0.48/1.02  (define @t180 () (_ @t179 @t178))
% 0.48/1.02  (define @t181 () (@var "P" (-> tptp.produc1572603623od_a_a Bool)))
% 0.48/1.02  (define @t182 () (_ @t181 @t178))
% 0.48/1.02  (define @t183 () (@list @t178))
% 0.48/1.02  (define @t184 () (_ tptp.finite1664988688od_a_a (_ tptp.collec1635618130od_a_a @t179)))
% 0.48/1.02  (define @t185 () (_ tptp.finite1664988688od_a_a (_ tptp.collec1635618130od_a_a @t181)))
% 0.48/1.02  (define @t186 () (@list @t181 @t179))
% 0.48/1.02  (define @t187 () (@var "B2" tptp.set_Pr1986765409at_nat))
% 0.48/1.02  (define @t188 () (@var "B2" tptp.set_Pr1948701895od_a_a))
% 0.48/1.02  (define @t189 () (@var "B2" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t190 () (_ tptp.ord_le1824328871od_a_a @t189))
% 0.48/1.02  (define @t191 () (@list @t189))
% 0.48/1.02  (define @t192 () (@list @t55))
% 0.48/1.02  (define @t193 () (@var "B2" tptp.set_nat))
% 0.48/1.02  (define @t194 () (_ tptp.ord_less_eq_set_nat @t193))
% 0.48/1.02  (define @t195 () (@list @t48))
% 0.48/1.02  (define @t196 () (@var "B2" tptp.set_a))
% 0.48/1.02  (define @t197 () (_ tptp.ord_less_eq_set_a @t196))
% 0.48/1.02  (define @t198 () (@list @t41))
% 0.48/1.02  (define @t199 () (@var "B" (-> tptp.a tptp.set_nat)))
% 0.48/1.02  (define @t200 () (_ tptp.product_Sigma_a_nat @t41))
% 0.48/1.02  (define @t201 () (_ @t200 @t199))
% 0.48/1.02  (define @t202 () (@var "A3" tptp.a))
% 0.48/1.02  (define @t203 () (_ (_ tptp.member_a @t202) @t41))
% 0.48/1.02  (define @t204 () (@list @t202))
% 0.48/1.02  (define @t205 () (@var "B" (-> tptp.nat tptp.set_a)))
% 0.48/1.02  (define @t206 () (_ tptp.product_Sigma_nat_a @t48))
% 0.48/1.02  (define @t207 () (_ @t206 @t205))
% 0.48/1.02  (define @t208 () (@var "A3" tptp.nat))
% 0.48/1.02  (define @t209 () (_ (_ tptp.member_nat @t208) @t48))
% 0.48/1.02  (define @t210 () (@list @t208))
% 0.48/1.02  (define @t211 () (@var "B" (-> tptp.nat tptp.set_nat)))
% 0.48/1.02  (define @t212 () (_ tptp.produc45129834at_nat @t48))
% 0.48/1.02  (define @t213 () (_ @t212 @t211))
% 0.48/1.02  (define @t214 () (@var "B" (-> tptp.a tptp.set_a)))
% 0.48/1.02  (define @t215 () (_ tptp.product_Sigma_a_a @t41))
% 0.48/1.02  (define @t216 () (_ @t215 @t214))
% 0.48/1.02  (define @t217 () (@var "B" (-> tptp.product_prod_a_a tptp.set_a)))
% 0.48/1.02  (define @t218 () (_ tptp.produc1282482655_a_a_a @t55))
% 0.48/1.02  (define @t219 () (_ @t218 @t217))
% 0.48/1.02  (define @t220 () (@var "A3" tptp.product_prod_a_a))
% 0.48/1.02  (define @t221 () (_ (_ tptp.member449909584od_a_a @t220) @t55))
% 0.48/1.02  (define @t222 () (@list @t220))
% 0.48/1.02  (define @t223 () (@var "B" (-> tptp.product_prod_a_a tptp.set_nat)))
% 0.48/1.02  (define @t224 () (_ tptp.produc931712687_a_nat @t55))
% 0.48/1.02  (define @t225 () (_ @t224 @t223))
% 0.48/1.02  (define @t226 () (@var "B" (-> tptp.a tptp.set_Product_prod_a_a)))
% 0.48/1.02  (define @t227 () (_ tptp.produc520147185od_a_a @t41))
% 0.48/1.02  (define @t228 () (_ @t227 @t226))
% 0.48/1.02  (define @t229 () (@var "B" (-> tptp.a tptp.set_Pr1986765409at_nat)))
% 0.48/1.02  (define @t230 () (_ tptp.produc292491723at_nat @t41))
% 0.48/1.02  (define @t231 () (@var "B" (-> tptp.nat tptp.set_Product_prod_a_a)))
% 0.48/1.02  (define @t232 () (_ tptp.produc1182842125od_a_a @t48))
% 0.48/1.02  (define @t233 () (_ @t232 @t231))
% 0.48/1.02  (define @t234 () (@var "B" (-> tptp.nat tptp.set_Pr1986765409at_nat)))
% 0.48/1.02  (define @t235 () (_ tptp.produc894163943at_nat @t48))
% 0.48/1.02  (define @t236 () (@var "X_1" tptp.product_prod_a_a))
% 0.48/1.02  (define @t237 () (@list @t136))
% 0.48/1.02  (define @t238 () (@var "X_1" tptp.a))
% 0.48/1.02  (define @t239 () (@var "X_1" tptp.nat))
% 0.48/1.02  (define @t240 () (@list @t160))
% 0.48/1.02  (define @t241 () (@var "X_1" tptp.product_prod_nat_nat))
% 0.48/1.02  (define @t242 () (@var "X_1" tptp.produc1572603623od_a_a))
% 0.48/1.02  (define @t243 () (@var "X" tptp.a))
% 0.48/1.02  (define @t244 () (@var "A4" tptp.a))
% 0.48/1.02  (define @t245 () (@var "R" (-> tptp.a tptp.a Bool)))
% 0.48/1.02  (define @t246 () (_ (_ tptp.member_a @t244) @t41))
% 0.48/1.02  (define @t247 () (@list @t244))
% 0.48/1.02  (define @t248 () (_ tptp.member_a @t243))
% 0.48/1.02  (define @t249 () (_ @t248 @t43))
% 0.48/1.02  (define @t250 () (@list @t243))
% 0.48/1.02  (define @t251 () (@var "Xa" tptp.a))
% 0.48/1.02  (define @t252 () (_ (_ tptp.member_a @t251) @t43))
% 0.48/1.02  (define @t253 () (@list @t251))
% 0.48/1.02  (define @t254 () (_ @t248 @t41))
% 0.48/1.02  (define @t255 () (not @t42))
% 0.48/1.02  (define @t256 () (@var "R" (-> tptp.a tptp.nat Bool)))
% 0.48/1.02  (define @t257 () (_ @t99 @t50))
% 0.48/1.02  (define @t258 () (_ @t94 @t50))
% 0.48/1.02  (define @t259 () (@var "A4" tptp.nat))
% 0.48/1.02  (define @t260 () (@var "R" (-> tptp.nat tptp.a Bool)))
% 0.48/1.02  (define @t261 () (_ (_ tptp.member_nat @t259) @t48))
% 0.48/1.02  (define @t262 () (@list @t259))
% 0.48/1.02  (define @t263 () (not @t49))
% 0.48/1.02  (define @t264 () (@var "R" (-> tptp.nat tptp.nat Bool)))
% 0.48/1.02  (define @t265 () (@var "A4" tptp.product_prod_a_a))
% 0.48/1.02  (define @t266 () (@var "R" (-> tptp.product_prod_a_a tptp.a Bool)))
% 0.48/1.02  (define @t267 () (_ (_ tptp.member449909584od_a_a @t265) @t55))
% 0.48/1.02  (define @t268 () (@list @t265))
% 0.48/1.02  (define @t269 () (@var "X" tptp.product_prod_a_a))
% 0.48/1.02  (define @t270 () (_ tptp.member449909584od_a_a @t269))
% 0.48/1.02  (define @t271 () (_ @t270 @t55))
% 0.48/1.02  (define @t272 () (@list @t269))
% 0.48/1.02  (define @t273 () (not @t56))
% 0.48/1.02  (define @t274 () (@var "R" (-> tptp.product_prod_a_a tptp.nat Bool)))
% 0.48/1.02  (define @t275 () (@var "R" (-> tptp.a tptp.product_prod_a_a Bool)))
% 0.48/1.02  (define @t276 () (_ @t270 @t57))
% 0.48/1.02  (define @t277 () (@var "Xa" tptp.product_prod_a_a))
% 0.48/1.02  (define @t278 () (_ (_ tptp.member449909584od_a_a @t277) @t57))
% 0.48/1.02  (define @t279 () (@list @t277))
% 0.48/1.02  (define @t280 () (@var "X" tptp.product_prod_nat_nat))
% 0.48/1.02  (define @t281 () (@var "R" (-> tptp.a tptp.product_prod_nat_nat Bool)))
% 0.48/1.02  (define @t282 () (_ (_ tptp.member701585322at_nat @t280) @t33))
% 0.48/1.02  (define @t283 () (@list @t280))
% 0.48/1.02  (define @t284 () (@var "Xa" tptp.product_prod_nat_nat))
% 0.48/1.02  (define @t285 () (_ (_ tptp.member701585322at_nat @t284) @t33))
% 0.48/1.02  (define @t286 () (@list @t284))
% 0.48/1.02  (define @t287 () (@var "R" (-> tptp.nat tptp.product_prod_a_a Bool)))
% 0.48/1.02  (define @t288 () (@var "R" (-> tptp.nat tptp.product_prod_nat_nat Bool)))
% 0.48/1.02  (define @t289 () (_ tptp.finite1743148308_a_nat (_ @t200 (lambda @t2 @t50))))
% 0.48/1.02  (define @t290 () (@list @t41 @t50))
% 0.48/1.02  (define @t291 () (@list (@var "Uu" tptp.nat)))
% 0.48/1.02  (define @t292 () (_ tptp.finite1808550458_nat_a (_ @t206 (lambda @t291 @t43))))
% 0.48/1.02  (define @t293 () (@list @t48 @t43))
% 0.48/1.02  (define @t294 () (_ tptp.finite772653738at_nat (_ @t212 (lambda @t291 @t50))))
% 0.48/1.02  (define @t295 () (_ @t215 (lambda @t2 @t43)))
% 0.48/1.02  (define @t296 () (_ tptp.finite179568208od_a_a @t295))
% 0.48/1.02  (define @t297 () (@list (@var "Uu" tptp.product_prod_a_a)))
% 0.48/1.02  (define @t298 () (_ tptp.finite1919032935_a_a_a (_ @t218 (lambda @t297 @t43))))
% 0.48/1.02  (define @t299 () (@list @t55 @t43))
% 0.48/1.02  (define @t300 () (_ tptp.finite1837575485_a_nat (_ @t224 (lambda @t297 @t50))))
% 0.48/1.02  (define @t301 () (@list @t55 @t50))
% 0.48/1.02  (define @t302 () (_ tptp.finite676513017od_a_a (_ @t227 (lambda @t2 @t57))))
% 0.48/1.02  (define @t303 () (@list @t41 @t57))
% 0.48/1.02  (define @t304 () (_ tptp.finite942416723at_nat (_ @t230 (lambda @t2 @t33))))
% 0.48/1.02  (define @t305 () (@list @t41 @t33))
% 0.48/1.02  (define @t306 () (_ tptp.finite1297454819od_a_a (_ @t232 (lambda @t291 @t57))))
% 0.48/1.02  (define @t307 () (@list @t48 @t57))
% 0.48/1.02  (define @t308 () (_ tptp.finite277291581at_nat (_ @t235 (lambda @t291 @t33))))
% 0.48/1.02  (define @t309 () (@list @t48 @t33))
% 0.48/1.02  (define @t310 () (not @t51))
% 0.48/1.02  (define @t311 () (not @t44))
% 0.48/1.02  (define @t312 () (not @t58))
% 0.48/1.02  (define @t313 () (not @t34))
% 0.48/1.02  (define @t314 () (@var "C" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t315 () (lambda @t297 @t314))
% 0.48/1.02  (define @t316 () (_ tptp.produc304751368od_a_a @t55))
% 0.48/1.02  (define @t317 () (@var "X3" tptp.product_prod_a_a))
% 0.48/1.02  (define @t318 () (_ tptp.member449909584od_a_a @t317))
% 0.48/1.02  (define @t319 () (_ @t318 @t314))
% 0.48/1.02  (define @t320 () (@var "C" tptp.set_nat))
% 0.48/1.02  (define @t321 () (lambda @t297 @t320))
% 0.48/1.02  (define @t322 () (@var "X3" tptp.nat))
% 0.48/1.02  (define @t323 () (_ tptp.member_nat @t322))
% 0.48/1.02  (define @t324 () (_ @t323 @t320))
% 0.48/1.02  (define @t325 () (lambda @t291 @t314))
% 0.48/1.02  (define @t326 () (lambda @t291 @t320))
% 0.48/1.02  (define @t327 () (lambda @t2 @t314))
% 0.48/1.02  (define @t328 () (lambda @t2 @t320))
% 0.48/1.02  (define @t329 () (@var "C" tptp.set_a))
% 0.48/1.02  (define @t330 () (lambda @t2 @t329))
% 0.48/1.02  (define @t331 () (_ tptp.product_Sigma_a_a @t43))
% 0.48/1.02  (define @t332 () (_ @t331 @t330))
% 0.48/1.02  (define @t333 () (_ @t215 @t330))
% 0.48/1.02  (define @t334 () (@var "X3" tptp.a))
% 0.48/1.02  (define @t335 () (_ tptp.member_a @t334))
% 0.48/1.02  (define @t336 () (_ @t335 @t329))
% 0.48/1.02  (define @t337 () (@list @t334 @t329 @t41 @t43))
% 0.48/1.02  (define @t338 () (@var "D" (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a)))
% 0.48/1.02  (define @t339 () (@var "B" (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a)))
% 0.48/1.02  (define @t340 () (_ @t60 @t314))
% 0.48/1.02  (define @t341 () (@var "D" (-> tptp.product_prod_a_a tptp.set_nat)))
% 0.48/1.02  (define @t342 () (@var "D" (-> tptp.product_prod_a_a tptp.set_a)))
% 0.48/1.02  (define @t343 () (@var "D" (-> tptp.nat tptp.set_Product_prod_a_a)))
% 0.48/1.02  (define @t344 () (_ @t52 @t320))
% 0.48/1.02  (define @t345 () (@var "D" (-> tptp.nat tptp.set_nat)))
% 0.48/1.02  (define @t346 () (@var "D" (-> tptp.nat tptp.set_a)))
% 0.48/1.02  (define @t347 () (@var "D" (-> tptp.a tptp.set_Product_prod_a_a)))
% 0.48/1.02  (define @t348 () (_ @t45 @t329))
% 0.48/1.02  (define @t349 () (@var "D" (-> tptp.a tptp.set_nat)))
% 0.48/1.02  (define @t350 () (@var "D" (-> tptp.a tptp.set_a)))
% 0.48/1.02  (define @t351 () (_ @t350 @t243))
% 0.48/1.02  (define @t352 () (= @t55 @t57))
% 0.48/1.02  (define @t353 () (_ tptp.ord_le1824328871od_a_a @t57))
% 0.48/1.02  (define @t354 () (_ @t353 @t55))
% 0.48/1.02  (define @t355 () (= @t48 @t50))
% 0.48/1.02  (define @t356 () (_ tptp.ord_less_eq_set_nat @t50))
% 0.48/1.02  (define @t357 () (_ @t356 @t48))
% 0.48/1.02  (define @t358 () (= @t41 @t43))
% 0.48/1.02  (define @t359 () (_ tptp.ord_less_eq_set_a @t43))
% 0.48/1.02  (define @t360 () (_ @t359 @t41))
% 0.48/1.02  (define @t361 () (@var "X3" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t362 () (_ tptp.ord_le1824328871od_a_a @t361))
% 0.48/1.02  (define @t363 () (_ tptp.ord_less_eq_nat @t322))
% 0.48/1.02  (define @t364 () (@var "X3" tptp.set_nat))
% 0.48/1.02  (define @t365 () (_ tptp.ord_less_eq_set_nat @t364))
% 0.48/1.02  (define @t366 () (@var "X3" tptp.set_a))
% 0.48/1.02  (define @t367 () (_ tptp.ord_less_eq_set_a @t366))
% 0.48/1.02  (define @t368 () (@var "R3" tptp.pair_p125712459t_unit))
% 0.48/1.02  (define @t369 () (@var "R2" tptp.pair_p125712459t_unit))
% 0.48/1.02  (define @t370 () (_ tptp.pair_p1896222615t_unit @t369))
% 0.48/1.02  (define @t371 () (_ tptp.pair_p133601421t_unit @t369))
% 0.48/1.02  (define @t372 () (_ tptp.pair_p1047056820t_unit @t369))
% 0.48/1.02  (define @t373 () (@var "R3" tptp.pair_p1914262621t_unit))
% 0.48/1.02  (define @t374 () (@var "R2" tptp.pair_p1914262621t_unit))
% 0.48/1.02  (define @t375 () (_ tptp.pair_p69470259t_unit @t374))
% 0.48/1.02  (define @t376 () (_ tptp.pair_p715279805t_unit @t374))
% 0.48/1.02  (define @t377 () (_ tptp.pair_p1677060310t_unit @t374))
% 0.48/1.02  (define @t378 () (@var "R3" tptp.pair_p1765063010t_unit))
% 0.48/1.02  (define @t379 () (@var "R2" tptp.pair_p1765063010t_unit))
% 0.48/1.02  (define @t380 () (_ tptp.pair_p1984658862t_unit @t379))
% 0.48/1.02  (define @t381 () (_ tptp.pair_p1783210148t_unit @t379))
% 0.48/1.02  (define @t382 () (_ tptp.pair_p447552203t_unit @t379))
% 0.48/1.02  (define @t383 () (@var "C" (-> tptp.a tptp.set_a)))
% 0.48/1.02  (define @t384 () (_ tptp.member449909584od_a_a @t133))
% 0.48/1.02  (define @t385 () (_ @t384 @t55))
% 0.48/1.02  (define @t386 () (_ tptp.collec645855634od_a_a (lambda @t138 (and @t385 @t137))))
% 0.48/1.02  (define @t387 () (_ tptp.member_nat @t157))
% 0.48/1.02  (define @t388 () (_ @t387 @t48))
% 0.48/1.02  (define @t389 () (_ tptp.collect_nat (lambda @t162 (and @t388 @t161))))
% 0.48/1.02  (define @t390 () (_ tptp.member_a @t145))
% 0.48/1.02  (define @t391 () (_ tptp.collect_a (lambda @t150 (and (_ @t390 @t41) @t149))))
% 0.48/1.02  (define @t392 () (@var "B3" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t393 () (= @t83 @t392))
% 0.48/1.02  (define @t394 () (_ @t84 @t392))
% 0.48/1.02  (define @t395 () (_ tptp.ord_le1824328871od_a_a @t392))
% 0.48/1.02  (define @t396 () (_ @t395 @t83))
% 0.48/1.02  (define @t397 () (@var "B3" tptp.nat))
% 0.48/1.02  (define @t398 () (= @t97 @t397))
% 0.48/1.02  (define @t399 () (_ @t98 @t397))
% 0.48/1.02  (define @t400 () (_ tptp.ord_less_eq_nat @t397))
% 0.48/1.02  (define @t401 () (_ @t400 @t97))
% 0.48/1.02  (define @t402 () (@var "B3" tptp.set_nat))
% 0.48/1.02  (define @t403 () (= @t112 @t402))
% 0.48/1.02  (define @t404 () (_ @t113 @t402))
% 0.48/1.02  (define @t405 () (_ tptp.ord_less_eq_set_nat @t402))
% 0.48/1.02  (define @t406 () (_ @t405 @t112))
% 0.48/1.02  (define @t407 () (@var "B3" tptp.set_a))
% 0.48/1.02  (define @t408 () (= @t126 @t407))
% 0.48/1.02  (define @t409 () (_ @t127 @t407))
% 0.48/1.02  (define @t410 () (_ tptp.ord_less_eq_set_a @t407))
% 0.48/1.02  (define @t411 () (_ @t410 @t126))
% 0.48/1.02  (define @t412 () (@var "B4" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t413 () (@var "A4" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t414 () (_ (_ tptp.ord_le1824328871od_a_a @t413) @t412))
% 0.48/1.02  (define @t415 () (_ (_ tptp.ord_le1824328871od_a_a @t412) @t413))
% 0.48/1.02  (define @t416 () (@list @t413 @t412))
% 0.48/1.02  (define @t417 () (@var "Z" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t418 () (@var "Y" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t419 () (lambda (@list @t418 @t417) (= @t418 @t417)))
% 0.48/1.02  (define @t420 () (@var "B4" tptp.nat))
% 0.48/1.02  (define @t421 () (_ (_ tptp.ord_less_eq_nat @t259) @t420))
% 0.48/1.02  (define @t422 () (_ (_ tptp.ord_less_eq_nat @t420) @t259))
% 0.48/1.02  (define @t423 () (@list @t259 @t420))
% 0.48/1.02  (define @t424 () (@var "Z" tptp.nat))
% 0.48/1.02  (define @t425 () (@var "Y" tptp.nat))
% 0.48/1.02  (define @t426 () (lambda (@list @t425 @t424) (= @t425 @t424)))
% 0.48/1.02  (define @t427 () (@var "B4" tptp.set_nat))
% 0.48/1.02  (define @t428 () (@var "A4" tptp.set_nat))
% 0.48/1.02  (define @t429 () (_ (_ tptp.ord_less_eq_set_nat @t428) @t427))
% 0.48/1.02  (define @t430 () (_ (_ tptp.ord_less_eq_set_nat @t427) @t428))
% 0.48/1.02  (define @t431 () (@list @t428 @t427))
% 0.48/1.02  (define @t432 () (@var "Z" tptp.set_nat))
% 0.48/1.02  (define @t433 () (@var "Y" tptp.set_nat))
% 0.48/1.02  (define @t434 () (lambda (@list @t433 @t432) (= @t433 @t432)))
% 0.48/1.02  (define @t435 () (@var "B4" tptp.set_a))
% 0.48/1.02  (define @t436 () (@var "A4" tptp.set_a))
% 0.48/1.02  (define @t437 () (_ (_ tptp.ord_less_eq_set_a @t436) @t435))
% 0.48/1.02  (define @t438 () (_ (_ tptp.ord_less_eq_set_a @t435) @t436))
% 0.48/1.02  (define @t439 () (@list @t436 @t435))
% 0.48/1.02  (define @t440 () (@var "Z" tptp.set_a))
% 0.48/1.02  (define @t441 () (@var "Y" tptp.set_a))
% 0.48/1.02  (define @t442 () (lambda (@list @t441 @t440) (= @t441 @t440)))
% 0.48/1.02  (define @t443 () (@var "C2" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t444 () (_ tptp.ord_le1824328871od_a_a @t443))
% 0.48/1.02  (define @t445 () (@var "C2" tptp.nat))
% 0.48/1.02  (define @t446 () (_ tptp.ord_less_eq_nat @t445))
% 0.48/1.02  (define @t447 () (@var "C2" tptp.set_nat))
% 0.48/1.02  (define @t448 () (_ tptp.ord_less_eq_set_nat @t447))
% 0.48/1.02  (define @t449 () (@var "C2" tptp.set_a))
% 0.48/1.02  (define @t450 () (_ tptp.ord_less_eq_set_a @t449))
% 0.48/1.02  (define @t451 () (@var "P" (-> tptp.nat tptp.nat Bool)))
% 0.48/1.02  (define @t452 () (@var "B5" tptp.nat))
% 0.48/1.02  (define @t453 () (_ (_ @t451 @t208) @t452))
% 0.48/1.02  (define @t454 () (@list @t208 @t452))
% 0.48/1.02  (define @t455 () (@var "Z2" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t456 () (@var "Y2" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t457 () (_ tptp.ord_le1824328871od_a_a @t456))
% 0.48/1.02  (define @t458 () (_ @t362 @t456))
% 0.48/1.02  (define @t459 () (@var "Z2" tptp.nat))
% 0.48/1.02  (define @t460 () (_ @t363 @t459))
% 0.48/1.02  (define @t461 () (@var "Y2" tptp.nat))
% 0.48/1.02  (define @t462 () (_ tptp.ord_less_eq_nat @t461))
% 0.48/1.02  (define @t463 () (_ @t462 @t459))
% 0.48/1.02  (define @t464 () (_ @t363 @t461))
% 0.48/1.02  (define @t465 () (@list @t322 @t461 @t459))
% 0.48/1.02  (define @t466 () (@var "Z2" tptp.set_nat))
% 0.48/1.02  (define @t467 () (@var "Y2" tptp.set_nat))
% 0.48/1.02  (define @t468 () (_ tptp.ord_less_eq_set_nat @t467))
% 0.48/1.02  (define @t469 () (_ @t365 @t467))
% 0.48/1.02  (define @t470 () (@var "Z2" tptp.set_a))
% 0.48/1.02  (define @t471 () (@var "Y2" tptp.set_a))
% 0.48/1.02  (define @t472 () (_ tptp.ord_less_eq_set_a @t471))
% 0.48/1.02  (define @t473 () (_ @t367 @t471))
% 0.48/1.02  (define @t474 () (_ @t84 @t443))
% 0.48/1.02  (define @t475 () (@list @t83 @t392 @t443))
% 0.48/1.02  (define @t476 () (_ @t98 @t445))
% 0.48/1.02  (define @t477 () (@list @t97 @t397 @t445))
% 0.48/1.02  (define @t478 () (_ @t113 @t447))
% 0.48/1.02  (define @t479 () (@list @t112 @t402 @t447))
% 0.48/1.02  (define @t480 () (_ @t127 @t449))
% 0.48/1.02  (define @t481 () (@list @t126 @t407 @t449))
% 0.48/1.02  (define @t482 () (@var "A2" tptp.product_prod_a_a))
% 0.48/1.02  (define @t483 () (lambda @t138 @t385))
% 0.48/1.02  (define @t484 () (_ @t134 @t269))
% 0.48/1.02  (define @t485 () (_ @t136 @t269))
% 0.48/1.02  (define @t486 () (_ @t158 @t91))
% 0.48/1.02  (define @t487 () (_ @t160 @t91))
% 0.48/1.02  (define @t488 () (_ @t395 @t443))
% 0.48/1.02  (define @t489 () (=> @t488 @t474))
% 0.48/1.02  (define @t490 () (_ @t400 @t445))
% 0.48/1.02  (define @t491 () (=> @t490 @t476))
% 0.48/1.02  (define @t492 () (_ @t405 @t447))
% 0.48/1.02  (define @t493 () (=> @t492 @t478))
% 0.48/1.02  (define @t494 () (_ @t410 @t449))
% 0.48/1.02  (define @t495 () (=> @t494 @t480))
% 0.48/1.02  (define @t496 () (= @t361 @t456))
% 0.48/1.02  (define @t497 () (_ @t457 @t361))
% 0.48/1.02  (define @t498 () (= @t322 @t461))
% 0.48/1.02  (define @t499 () (_ @t462 @t322))
% 0.48/1.02  (define @t500 () (= @t364 @t467))
% 0.48/1.02  (define @t501 () (_ @t468 @t364))
% 0.48/1.02  (define @t502 () (= @t366 @t471))
% 0.48/1.02  (define @t503 () (_ @t472 @t366))
% 0.48/1.02  (define @t504 () (not @t464))
% 0.48/1.02  (define @t505 () (_ tptp.ord_less_eq_nat @t459))
% 0.48/1.02  (define @t506 () (_ @t505 @t322))
% 0.48/1.02  (define @t507 () (_ @t505 @t461))
% 0.48/1.02  (define @t508 () (@list @t322 @t461))
% 0.48/1.02  (define @t509 () (@list @t361 @t456))
% 0.48/1.02  (define @t510 () (@list @t364 @t467))
% 0.48/1.02  (define @t511 () (@list @t366 @t471))
% 0.48/1.02  (define @t512 () (@var "X2" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t513 () (@var "Y3" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t514 () (@var "Y3" tptp.nat))
% 0.48/1.02  (define @t515 () (_ tptp.ord_less_eq_nat @t157))
% 0.48/1.02  (define @t516 () (@var "X2" tptp.set_nat))
% 0.48/1.02  (define @t517 () (@var "Y3" tptp.set_nat))
% 0.48/1.02  (define @t518 () (@var "X2" tptp.set_a))
% 0.48/1.02  (define @t519 () (@var "Y3" tptp.set_a))
% 0.48/1.02  (define @t520 () (@var "F" (-> tptp.nat tptp.nat)))
% 0.48/1.02  (define @t521 () (@var "Y4" tptp.nat))
% 0.48/1.02  (define @t522 () (_ @t93 @t521))
% 0.48/1.02  (define @t523 () (@list @t91 @t521))
% 0.48/1.02  (define @t524 () (forall @t523 (=> @t522 (_ (_ tptp.ord_less_eq_nat (_ @t520 @t91)) (_ @t520 @t521)))))
% 0.48/1.02  (define @t525 () (=> @t524 (_ (_ tptp.ord_less_eq_nat (_ @t520 @t97)) @t445)))
% 0.48/1.02  (define @t526 () (_ @t520 @t397))
% 0.48/1.02  (define @t527 () (@list @t97 @t397 @t520 @t445))
% 0.48/1.02  (define @t528 () (@var "F" (-> tptp.nat tptp.set_nat)))
% 0.48/1.02  (define @t529 () (forall @t523 (=> @t522 (_ (_ tptp.ord_less_eq_set_nat (_ @t528 @t91)) (_ @t528 @t521)))))
% 0.48/1.02  (define @t530 () (=> @t529 (_ (_ tptp.ord_less_eq_set_nat (_ @t528 @t97)) @t447)))
% 0.48/1.02  (define @t531 () (_ @t528 @t397))
% 0.48/1.02  (define @t532 () (@list @t97 @t397 @t528 @t447))
% 0.48/1.02  (define @t533 () (@var "F" (-> tptp.nat tptp.set_a)))
% 0.48/1.02  (define @t534 () (forall @t523 (=> @t522 (_ (_ tptp.ord_less_eq_set_a (_ @t533 @t91)) (_ @t533 @t521)))))
% 0.48/1.02  (define @t535 () (=> @t534 (_ (_ tptp.ord_less_eq_set_a (_ @t533 @t97)) @t449)))
% 0.48/1.02  (define @t536 () (_ @t533 @t397))
% 0.48/1.02  (define @t537 () (@list @t97 @t397 @t533 @t449))
% 0.48/1.02  (define @t538 () (@var "F" (-> tptp.set_nat tptp.nat)))
% 0.48/1.02  (define @t539 () (@var "Y4" tptp.set_nat))
% 0.48/1.02  (define @t540 () (_ @t108 @t539))
% 0.48/1.02  (define @t541 () (@list @t106 @t539))
% 0.48/1.02  (define @t542 () (forall @t541 (=> @t540 (_ (_ tptp.ord_less_eq_nat (_ @t538 @t106)) (_ @t538 @t539)))))
% 0.48/1.02  (define @t543 () (=> @t542 (_ (_ tptp.ord_less_eq_nat (_ @t538 @t112)) @t445)))
% 0.48/1.02  (define @t544 () (_ @t538 @t402))
% 0.48/1.02  (define @t545 () (@list @t112 @t402 @t538 @t445))
% 0.48/1.02  (define @t546 () (@var "F" (-> tptp.set_a tptp.nat)))
% 0.48/1.02  (define @t547 () (@var "Y4" tptp.set_a))
% 0.48/1.02  (define @t548 () (_ @t122 @t547))
% 0.48/1.02  (define @t549 () (@list @t120 @t547))
% 0.48/1.02  (define @t550 () (forall @t549 (=> @t548 (_ (_ tptp.ord_less_eq_nat (_ @t546 @t120)) (_ @t546 @t547)))))
% 0.48/1.02  (define @t551 () (=> @t550 (_ (_ tptp.ord_less_eq_nat (_ @t546 @t126)) @t445)))
% 0.48/1.02  (define @t552 () (_ @t546 @t407))
% 0.48/1.02  (define @t553 () (@list @t126 @t407 @t546 @t445))
% 0.48/1.02  (define @t554 () (@var "F" (-> tptp.set_nat tptp.set_nat)))
% 0.48/1.02  (define @t555 () (forall @t541 (=> @t540 (_ (_ tptp.ord_less_eq_set_nat (_ @t554 @t106)) (_ @t554 @t539)))))
% 0.48/1.02  (define @t556 () (=> @t555 (_ (_ tptp.ord_less_eq_set_nat (_ @t554 @t112)) @t447)))
% 0.48/1.02  (define @t557 () (_ @t554 @t402))
% 0.48/1.02  (define @t558 () (@list @t112 @t402 @t554 @t447))
% 0.48/1.02  (define @t559 () (@var "F" (-> tptp.set_nat tptp.set_a)))
% 0.48/1.02  (define @t560 () (forall @t541 (=> @t540 (_ (_ tptp.ord_less_eq_set_a (_ @t559 @t106)) (_ @t559 @t539)))))
% 0.48/1.02  (define @t561 () (=> @t560 (_ (_ tptp.ord_less_eq_set_a (_ @t559 @t112)) @t449)))
% 0.48/1.02  (define @t562 () (_ @t559 @t402))
% 0.48/1.02  (define @t563 () (@list @t112 @t402 @t559 @t449))
% 0.48/1.02  (define @t564 () (@var "F" (-> tptp.set_a tptp.set_nat)))
% 0.48/1.02  (define @t565 () (forall @t549 (=> @t548 (_ (_ tptp.ord_less_eq_set_nat (_ @t564 @t120)) (_ @t564 @t547)))))
% 0.48/1.02  (define @t566 () (=> @t565 (_ (_ tptp.ord_less_eq_set_nat (_ @t564 @t126)) @t447)))
% 0.48/1.02  (define @t567 () (_ @t564 @t407))
% 0.48/1.02  (define @t568 () (@list @t126 @t407 @t564 @t447))
% 0.48/1.02  (define @t569 () (@var "F" (-> tptp.set_a tptp.set_a)))
% 0.48/1.02  (define @t570 () (forall @t549 (=> @t548 (_ (_ tptp.ord_less_eq_set_a (_ @t569 @t120)) (_ @t569 @t547)))))
% 0.48/1.02  (define @t571 () (=> @t570 (_ (_ tptp.ord_less_eq_set_a (_ @t569 @t126)) @t449)))
% 0.48/1.02  (define @t572 () (_ @t569 @t407))
% 0.48/1.02  (define @t573 () (@list @t126 @t407 @t569 @t449))
% 0.48/1.02  (define @t574 () (@var "F" (-> tptp.set_Product_prod_a_a tptp.nat)))
% 0.48/1.02  (define @t575 () (@var "Y4" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t576 () (forall (@list @t77 @t575) (=> (_ @t79 @t575) (_ (_ tptp.ord_less_eq_nat (_ @t574 @t77)) (_ @t574 @t575)))))
% 0.48/1.02  (define @t577 () (=> @t576 (_ (_ tptp.ord_less_eq_nat (_ @t574 @t83)) @t445)))
% 0.48/1.02  (define @t578 () (_ @t574 @t392))
% 0.48/1.02  (define @t579 () (@list @t83 @t392 @t574 @t445))
% 0.48/1.02  (define @t580 () (=> @t490 (=> @t524 (_ @t98 (_ @t520 @t445)))))
% 0.48/1.02  (define @t581 () (@list @t97 @t520 @t397 @t445))
% 0.48/1.02  (define @t582 () (=> @t490 (=> @t529 (_ @t113 (_ @t528 @t445)))))
% 0.48/1.02  (define @t583 () (@list @t112 @t528 @t397 @t445))
% 0.48/1.02  (define @t584 () (=> @t490 (=> @t534 (_ @t127 (_ @t533 @t445)))))
% 0.48/1.02  (define @t585 () (@list @t126 @t533 @t397 @t445))
% 0.48/1.02  (define @t586 () (=> @t492 (=> @t542 (_ @t98 (_ @t538 @t447)))))
% 0.48/1.02  (define @t587 () (@list @t97 @t538 @t402 @t447))
% 0.48/1.02  (define @t588 () (=> @t494 (=> @t550 (_ @t98 (_ @t546 @t449)))))
% 0.48/1.02  (define @t589 () (@list @t97 @t546 @t407 @t449))
% 0.48/1.02  (define @t590 () (=> @t492 (=> @t555 (_ @t113 (_ @t554 @t447)))))
% 0.48/1.02  (define @t591 () (@list @t112 @t554 @t402 @t447))
% 0.48/1.02  (define @t592 () (=> @t492 (=> @t560 (_ @t127 (_ @t559 @t447)))))
% 0.48/1.02  (define @t593 () (@list @t126 @t559 @t402 @t447))
% 0.48/1.02  (define @t594 () (=> @t494 (=> @t565 (_ @t113 (_ @t564 @t449)))))
% 0.48/1.02  (define @t595 () (@list @t112 @t564 @t407 @t449))
% 0.48/1.02  (define @t596 () (=> @t494 (=> @t570 (_ @t127 (_ @t569 @t449)))))
% 0.48/1.02  (define @t597 () (@list @t126 @t569 @t407 @t449))
% 0.48/1.02  (define @t598 () (@var "F" (-> tptp.nat tptp.set_Product_prod_a_a)))
% 0.48/1.02  (define @t599 () (_ (_ tptp.ord_le1824328871od_a_a @t142) @t140))
% 0.48/1.02  (define @t600 () (_ (_ tptp.ord_less_eq_set_nat @t166) @t164))
% 0.48/1.02  (define @t601 () (_ (_ tptp.ord_less_eq_set_a @t154) @t152))
% 0.48/1.02  (define @t602 () (@var "A5" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t603 () (@list @t602 @t189))
% 0.48/1.02  (define @t604 () (@var "A5" tptp.set_nat))
% 0.48/1.02  (define @t605 () (@list @t604 @t193))
% 0.48/1.02  (define @t606 () (@var "A5" tptp.set_a))
% 0.48/1.02  (define @t607 () (@list @t606 @t196))
% 0.48/1.02  (define @t608 () (_ @t146 @t243))
% 0.48/1.02  (define @t609 () (_ @t148 @t243))
% 0.48/1.02  (define @t610 () (@var "T2" tptp.product_prod_a_a))
% 0.48/1.02  (define @t611 () (_ tptp.member449909584od_a_a @t610))
% 0.48/1.02  (define @t612 () (@var "T2" tptp.nat))
% 0.48/1.02  (define @t613 () (_ tptp.member_nat @t612))
% 0.48/1.02  (define @t614 () (@var "T2" tptp.a))
% 0.48/1.02  (define @t615 () (_ tptp.member_a @t614))
% 0.48/1.02  (define @t616 () (_ @t384 @t189))
% 0.48/1.02  (define @t617 () (_ @t384 @t602))
% 0.48/1.02  (define @t618 () (_ @t387 @t193))
% 0.48/1.02  (define @t619 () (_ @t387 @t604))
% 0.48/1.02  (define @t620 () (_ @t390 @t196))
% 0.48/1.02  (define @t621 () (_ @t390 @t606))
% 0.48/1.02  (define @t622 () (@var "C2" tptp.product_prod_a_a))
% 0.48/1.02  (define @t623 () (_ tptp.member449909584od_a_a @t622))
% 0.48/1.02  (define @t624 () (_ tptp.member_nat @t445))
% 0.48/1.02  (define @t625 () (@var "C2" tptp.a))
% 0.48/1.02  (define @t626 () (_ tptp.member_a @t625))
% 0.48/1.02  (define @t627 () (@var "R" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t628 () (@var "R" tptp.set_nat))
% 0.48/1.02  (define @t629 () (@var "R" tptp.set_a))
% 0.48/1.02  (define @t630 () (_ @t384 @t57))
% 0.48/1.02  (define @t631 () (_ @t387 @t50))
% 0.48/1.02  (define @t632 () (_ @t390 @t43))
% 0.48/1.02  (define @t633 () (@var "X4" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t634 () (_ tptp.collec645855634od_a_a (lambda @t138 (and (_ @t384 @t633) @t137))))
% 0.48/1.02  (define @t635 () (@var "X4" tptp.set_nat))
% 0.48/1.02  (define @t636 () (_ tptp.collect_nat (lambda @t162 (and (_ @t387 @t635) @t161))))
% 0.48/1.02  (define @t637 () (@var "X4" tptp.set_a))
% 0.48/1.02  (define @t638 () (_ tptp.collect_a (lambda @t150 (and (_ @t390 @t637) @t149))))
% 0.48/1.02  (define @t639 () (@var "Z3" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t640 () (_ @t160 @t322))
% 0.48/1.02  (define @t641 () (@var "Z3" tptp.set_nat))
% 0.48/1.02  (define @t642 () (@var "Z3" tptp.set_a))
% 0.48/1.02  (define @t643 () (@var "Parcs" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t644 () (@var "More" tptp.product_unit))
% 0.48/1.02  (define @t645 () (@var "Pverts" tptp.set_a))
% 0.48/1.02  (define @t646 () (_ (_ (_ tptp.pair_p1621517565t_unit @t645) @t643) @t644))
% 0.48/1.02  (define @t647 () (@list @t645 @t643 @t644))
% 0.48/1.02  (define @t648 () (@var "Parcs" tptp.set_Pr1986765409at_nat))
% 0.48/1.02  (define @t649 () (@var "Pverts" tptp.set_nat))
% 0.48/1.02  (define @t650 () (_ (_ (_ tptp.pair_p1167410509t_unit @t649) @t648) @t644))
% 0.48/1.02  (define @t651 () (@list @t649 @t648 @t644))
% 0.48/1.02  (define @t652 () (@var "Parcs" tptp.set_Pr1948701895od_a_a))
% 0.48/1.02  (define @t653 () (@var "Pverts" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t654 () (_ (_ (_ tptp.pair_p398687508t_unit @t653) @t652) @t644))
% 0.48/1.02  (define @t655 () (@list @t653 @t652 @t644))
% 0.48/1.02  (define @t656 () (= @t50 tptp.bot_bot_set_nat))
% 0.48/1.02  (define @t657 () (= @t41 tptp.bot_bot_set_a))
% 0.48/1.02  (define @t658 () (= @t43 tptp.bot_bot_set_a))
% 0.48/1.02  (define @t659 () (= @t48 tptp.bot_bot_set_nat))
% 0.48/1.02  (define @t660 () (= @t55 tptp.bot_bo2131659635od_a_a))
% 0.48/1.02  (define @t661 () (= @t57 tptp.bot_bo2131659635od_a_a))
% 0.48/1.02  (define @t662 () (= @t33 tptp.bot_bo2130386637at_nat))
% 0.48/1.02  (define @t663 () (forall @t138 (not @t137)))
% 0.48/1.02  (define @t664 () (forall @t162 (not @t161)))
% 0.48/1.02  (define @t665 () (@var "V" tptp.a))
% 0.48/1.02  (define @t666 () (@var "U" tptp.a))
% 0.48/1.02  (define @t667 () (@var "K" tptp.nat))
% 0.48/1.02  (define @t668 () (@var "N" tptp.nat))
% 0.48/1.02  (define @t669 () (@list @t668))
% 0.48/1.02  (define @t670 () (@var "M" tptp.nat))
% 0.48/1.02  (define @t671 () (@list @t670))
% 0.48/1.02  (define @t672 () (@var "M3" tptp.nat))
% 0.48/1.02  (define @t673 () (@var "X6" tptp.nat))
% 0.48/1.02  (define @t674 () (@var "M2" tptp.nat))
% 0.48/1.02  (define @t675 () (@var "U2" tptp.nat))
% 0.48/1.02  (define @t676 () (@var "N3" tptp.nat))
% 0.48/1.02  (define @t677 () (_ tptp.finite179568208od_a_a @t6))
% 0.48/1.02  (define @t678 () (not @t677))
% 0.48/1.02  (define @t679 () (@var "G" tptp.pair_p2041852168t_unit))
% 0.48/1.02  (define @t680 () (lambda (@list @t679) (and (_ tptp.finite772653738at_nat (_ tptp.pair_p210955889t_unit @t679)) (_ tptp.finite48957584at_nat (_ tptp.pair_p806300874t_unit @t679)))))
% 0.48/1.02  (define @t681 () (@var "G" tptp.pair_p1593840546t_unit))
% 0.48/1.02  (define @t682 () (lambda (@list @t681) (and (_ tptp.finite1664988688od_a_a (_ tptp.pair_p1652294923t_unit @t681)) (_ tptp.finite256329232od_a_a (_ tptp.pair_p1559300324t_unit @t681)))))
% 0.48/1.02  (define @t683 () (@var "G" tptp.pair_p1765063010t_unit))
% 0.48/1.02  (define @t684 () (@list @t683))
% 0.48/1.02  (define @t685 () (lambda @t684 (and (_ tptp.finite179568208od_a_a (_ tptp.pair_p447552203t_unit @t683)) (_ tptp.finite1664988688od_a_a (_ tptp.pair_p1783210148t_unit @t683)))))
% 0.48/1.02  (define @t686 () (@var "G" tptp.pair_p1914262621t_unit))
% 0.48/1.02  (define @t687 () (@list @t686))
% 0.48/1.02  (define @t688 () (lambda @t687 (and (_ tptp.finite_finite_nat (_ tptp.pair_p1677060310t_unit @t686)) (_ tptp.finite772653738at_nat (_ tptp.pair_p715279805t_unit @t686)))))
% 0.48/1.02  (define @t689 () (@var "G" tptp.pair_p125712459t_unit))
% 0.48/1.02  (define @t690 () (@list @t689))
% 0.48/1.02  (define @t691 () (lambda @t690 (and (_ tptp.finite_finite_a (_ tptp.pair_p1047056820t_unit @t689)) (_ tptp.finite179568208od_a_a (_ tptp.pair_p133601421t_unit @t689)))))
% 0.48/1.02  (define @t692 () (lambda @t138 @t616))
% 0.48/1.02  (define @t693 () (lambda @t603 (_ (_ tptp.ord_le1347718902_a_a_o (lambda @t138 @t617)) @t692)))
% 0.48/1.02  (define @t694 () (lambda @t605 (_ (_ tptp.ord_less_eq_nat_o (lambda @t162 @t619)) (lambda @t162 @t618))))
% 0.48/1.02  (define @t695 () (lambda @t607 (_ (_ tptp.ord_less_eq_a_o (lambda @t150 @t621)) (lambda @t150 @t620))))
% 0.48/1.02  (define @t696 () (lambda @t607 (_ (_ tptp.product_Sigma_a_a @t606) (lambda @t2 @t196))))
% 0.48/1.02  (define @t697 () (@var "X5" tptp.set_Pr1986765409at_nat))
% 0.48/1.02  (define @t698 () (@var "A5" tptp.set_Pr1986765409at_nat))
% 0.48/1.02  (define @t699 () (lambda (@list @t698) (_ tptp.collec1606769740at_nat (lambda (@list @t697) (and (_ (_ tptp.ord_le841296385at_nat @t697) @t698) (_ tptp.finite772653738at_nat @t697))))))
% 0.48/1.02  (define @t700 () (@var "X5" tptp.set_Pr1948701895od_a_a))
% 0.48/1.02  (define @t701 () (@var "A5" tptp.set_Pr1948701895od_a_a))
% 0.48/1.02  (define @t702 () (lambda (@list @t701) (_ tptp.collec453062450od_a_a (lambda (@list @t700) (and (_ (_ tptp.ord_le456379495od_a_a @t700) @t701) (_ tptp.finite1664988688od_a_a @t700))))))
% 0.48/1.02  (define @t703 () (@var "X5" tptp.set_Product_prod_a_a))
% 0.48/1.02  (define @t704 () (lambda (@list @t602) (_ tptp.collec183727474od_a_a (lambda (@list @t703) (and (_ (_ tptp.ord_le1824328871od_a_a @t703) @t602) (_ tptp.finite179568208od_a_a @t703))))))
% 0.48/1.02  (define @t705 () (@var "X5" tptp.set_nat))
% 0.48/1.02  (define @t706 () (lambda (@list @t604) (_ tptp.collect_set_nat (lambda (@list @t705) (and (_ (_ tptp.ord_less_eq_set_nat @t705) @t604) (_ tptp.finite_finite_nat @t705))))))
% 0.48/1.02  (define @t707 () (@var "X5" tptp.set_a))
% 0.48/1.02  (define @t708 () (lambda (@list @t606) (_ tptp.collect_set_a (lambda (@list @t707) (and (_ (_ tptp.ord_less_eq_set_a @t707) @t606) (_ tptp.finite_finite_a @t707))))))
% 0.48/1.02  (define @t709 () (lambda @t690 (and (_ tptp.pair_p68905728raph_a @t689) (_ tptp.pair_p1864019935ioms_a @t689))))
% 0.48/1.02  (define @t710 () (lambda @t687 (and (_ tptp.pair_p1515597646ph_nat @t686) (_ tptp.pair_p1027063983ms_nat @t686))))
% 0.48/1.02  (define @t711 () (lambda @t684 (and (_ tptp.pair_p646030121od_a_a @t683) (_ tptp.pair_p504738056od_a_a @t683))))
% 0.48/1.02  (define @t712 () (@var "N2" tptp.set_nat))
% 0.48/1.02  (define @t713 () (lambda (@list @t712) (exists @t671 (forall @t162 (=> (_ @t387 @t712) (_ @t515 @t670))))))
% 0.48/1.02  (define @t714 () (tptp.pair_p133601421t_unit tptp.g))
% 0.48/1.02  (define @t715 () (tptp.member449909584od_a_a @t133 @t714))
% 0.48/1.02  (define @t716 () (lambda @t138 @t715))
% 0.48/1.02  (define @t717 () (@purify @t716))
% 0.48/1.02  (define @t718 () (_ @t717 @t133))
% 0.48/1.02  (define @t719 () (_ @t716 @t133))
% 0.48/1.02  (define @t720 () (= @t718 @t719))
% 0.48/1.02  (define @t721 () (forall @t138 @t720))
% 0.48/1.02  (define @t722 () (@const 0 tptp.product_prod_a_a))
% 0.48/1.02  (define @t723 () (tptp.member449909584od_a_a @t722 @t714))
% 0.48/1.02  (define @t724 () (_ @t717 @t722))
% 0.48/1.02  (define @t725 () (forall @t138 (= @t715 @t718)))
% 0.48/1.02  (define @t726 () (= @t723 @t724))
% 0.48/1.02  (define @t727 () (@list @t722))
% 0.48/1.02  (define @t728 () (= @t724 @t723))
% 0.48/1.02  (define @t729 () (@list false))
% 0.48/1.02  (define @t730 () (tptp.pair_p1047056820t_unit tptp.g))
% 0.48/1.02  (define @t731 () (@purify @t730))
% 0.48/1.02  (define @t732 () (@purify @t1))
% 0.48/1.02  (define @t733 () (@const 1 tptp.a))
% 0.48/1.02  (define @t734 () (lambda @t2 @t730))
% 0.48/1.02  (define @t735 () (_ @t734 @t733))
% 0.48/1.02  (define @t736 () (lambda @t2 @t731))
% 0.48/1.02  (define @t737 () (@purify @t736))
% 0.48/1.02  (define @t738 () (_ @t737 @t733))
% 0.48/1.02  (define @t739 () (_ @t3 @t733))
% 0.48/1.02  (define @t740 () (lambda @t2 @t732))
% 0.48/1.02  (define @t741 () (@purify @t740))
% 0.48/1.02  (define @t742 () (_ @t741 @t733))
% 0.48/1.02  (define @t743 () (= @t742 @t738))
% 0.48/1.02  (define @t744 () (not @t743))
% 0.48/1.02  (define @t745 () (= @t741 @t737))
% 0.48/1.02  (define @t746 () (or @t745 @t744))
% 0.48/1.02  (define @t747 () (@const 2 tptp.product_prod_a_a))
% 0.48/1.02  (define @t748 () (tptp.product_Sigma_a_a @t730 @t741))
% 0.48/1.02  (define @t749 () (tptp.member449909584od_a_a @t133 @t748))
% 0.48/1.02  (define @t750 () (lambda @t138 @t749))
% 0.48/1.02  (define @t751 () (@purify @t750))
% 0.48/1.02  (define @t752 () (_ @t751 @t747))
% 0.48/1.02  (define @t753 () (_ @t384 @t5))
% 0.48/1.02  (define @t754 () (lambda @t138 @t753))
% 0.48/1.02  (define @t755 () (@purify @t754))
% 0.48/1.02  (define @t756 () (_ @t755 @t747))
% 0.48/1.02  (define @t757 () (= @t756 @t752))
% 0.48/1.02  (define @t758 () (tptp.product_Sigma_a_a @t730 @t734))
% 0.48/1.02  (define @t759 () (tptp.member449909584od_a_a @t133 @t758))
% 0.48/1.02  (define @t760 () (_ @t755 @t133))
% 0.48/1.02  (define @t761 () (_ tptp.product_Sigma_a_a @t730))
% 0.48/1.02  (define @t762 () (= @t753 @t760))
% 0.48/1.02  (define @t763 () (_ @t754 @t133))
% 0.48/1.02  (define @t764 () (= @t760 @t763))
% 0.48/1.02  (define @t765 () (forall @t138 @t764))
% 0.48/1.02  (define @t766 () (tptp.member449909584od_a_a @t747 @t758))
% 0.48/1.02  (define @t767 () (= @t756 @t766))
% 0.48/1.02  (define @t768 () (forall @t138 (= @t760 @t759)))
% 0.48/1.02  (define @t769 () (@list @t747))
% 0.48/1.02  (define @t770 () (tptp.member449909584od_a_a @t747 (tptp.product_Sigma_a_a @t730 @t737)))
% 0.48/1.02  (define @t771 () (= @t756 @t770))
% 0.48/1.02  (define @t772 () (not @t771))
% 0.48/1.02  (define @t773 () (not @t756))
% 0.48/1.02  (define @t774 () (_ @t751 @t133))
% 0.48/1.02  (define @t775 () (_ @t750 @t133))
% 0.48/1.02  (define @t776 () (= @t774 @t775))
% 0.48/1.02  (define @t777 () (forall @t138 @t776))
% 0.48/1.02  (define @t778 () (tptp.member449909584od_a_a @t747 @t748))
% 0.48/1.02  (define @t779 () (forall @t138 (= @t749 @t774)))
% 0.48/1.02  (define @t780 () (= @t778 @t752))
% 0.48/1.02  (define @t781 () (= @t752 @t778))
% 0.48/1.02  (define @t782 () (not @t781))
% 0.48/1.02  (define @t783 () (not @t778))
% 0.48/1.02  (define @t784 () (and @t745 @t770))
% 0.48/1.02  (define @t785 () (not @t770))
% 0.48/1.02  (define @t786 () (not @t745))
% 0.48/1.02  (define @t787 () (and @t745 @t785))
% 0.48/1.02  (define @t788 () (= @t755 @t751))
% 0.48/1.02  (define @t789 () (tptp.finite179568208od_a_a @t55))
% 0.48/1.02  (define @t790 () (tptp.finite179568208od_a_a @t57))
% 0.48/1.02  (define @t791 () (lambda @t138 @t630))
% 0.48/1.02  (define @t792 () (tptp.member449909584od_a_a @t133 @t57))
% 0.48/1.02  (define @t793 () (lambda @t138 @t792))
% 0.48/1.02  (define @t794 () (tptp.member449909584od_a_a @t133 @t55))
% 0.48/1.02  (define @t795 () (lambda @t138 @t794))
% 0.48/1.02  (define @t796 () (tptp.ord_le1347718902_a_a_o @t795 @t793))
% 0.48/1.02  (define @t797 () (_ tptp.ord_le1347718902_a_a_o @t483))
% 0.48/1.02  (define @t798 () (_ @t797 @t791))
% 0.48/1.02  (define @t799 () (not @t798))
% 0.48/1.02  (define @t800 () (or @t799 @t312 @t56))
% 0.48/1.02  (define @t801 () (lambda @t191 (_ @t797 @t692)))
% 0.48/1.02  (define @t802 () (_ @t693 @t55))
% 0.48/1.02  (define @t803 () (=> (_ @t802 @t57) @t59))
% 0.48/1.02  (define @t804 () (tptp.finite179568208od_a_a @t714))
% 0.48/1.02  (define @t805 () (tptp.finite179568208od_a_a @t748))
% 0.48/1.02  (define @t806 () (not @t805))
% 0.48/1.02  (define @t807 () (tptp.ord_le1347718902_a_a_o @t716 @t750))
% 0.48/1.02  (define @t808 () (not @t807))
% 0.48/1.02  (define @t809 () (or @t808 @t806 @t804))
% 0.48/1.02  (define @t810 () (forall @t63 (or (not @t796) (not @t790) @t789)))
% 0.48/1.02  (define @t811 () (tptp.ord_le1347718902_a_a_o @t717 @t751))
% 0.48/1.02  (define @t812 () (not @t811))
% 0.48/1.02  (define @t813 () (or @t812 @t806 @t804))
% 0.48/1.02  (define @t814 () (_ @t4 @t741))
% 0.48/1.02  (define @t815 () (@list true false false))
% 0.48/1.02  (define @t816 () (_ @t384 @t6))
% 0.48/1.02  (define @t817 () (lambda @t138 @t816))
% 0.48/1.02  (define @t818 () (@purify @t817))
% 0.48/1.02  (define @t819 () (tptp.ord_le1347718902_a_a_o @t818 @t755))
% 0.48/1.02  (define @t820 () (_ (_ tptp.ord_le1347718902_a_a_o @t818) @t755))
% 0.48/1.02  (define @t821 () (_ tptp.ord_le1347718902_a_a_o @t817))
% 0.48/1.02  (define @t822 () (lambda @t191 (_ @t821 @t692)))
% 0.48/1.02  (define @t823 () (not @t788))
% 0.48/1.02  (define @t824 () (= @t818 @t717))
% 0.48/1.02  (define @t825 () (not @t824))
% 0.48/1.02  (define @t826 () (not @t819))
% 0.48/1.02  (define @t827 () (and @t819 @t824 @t788 @t812))
% 0.48/1.02  (define @t828 () (_ @t818 @t722))
% 0.48/1.02  (define @t829 () (= @t828 @t724))
% 0.48/1.02  (define @t830 () (not @t829))
% 0.48/1.02  (define @t831 () (_ @t818 @t133))
% 0.48/1.02  (define @t832 () (= @t816 @t831))
% 0.48/1.02  (define @t833 () (_ @t817 @t133))
% 0.48/1.02  (define @t834 () (= @t831 @t833))
% 0.48/1.02  (define @t835 () (forall @t138 @t834))
% 0.48/1.02  (define @t836 () (= @t828 @t723))
% 0.48/1.02  (define @t837 () (not @t836))
% 0.48/1.02  (define @t838 () (not @t828))
% 0.48/1.02  (define @t839 () (not @t728))
% 0.48/1.02  (define @t840 () (not @t723))
% 0.48/1.02  (assume @p1 (_ tptp.finite179568208od_a_a @t5))
% 0.48/1.02  (assume @p2 (_ (_ tptp.ord_le1824328871od_a_a @t6) @t5))
% 0.48/1.02  (assume @p3 (forall @t9 (=> @t8 (=> (_ tptp.finite48957584at_nat (_ tptp.pair_p806300874t_unit @t7)) (_ tptp.pair_p56914274at_nat @t7)))))
% 0.48/1.02  (assume @p4 (forall @t12 (=> @t11 (=> (_ tptp.finite256329232od_a_a (_ tptp.pair_p1559300324t_unit @t10)) (_ tptp.pair_p1906342088od_a_a @t10)))))
% 0.48/1.02  (assume @p5 (forall @t17 (=> @t16 (=> @t15 @t14))))
% 0.48/1.02  (assume @p6 (forall @t22 (=> @t21 (=> @t20 @t19))))
% 0.48/1.02  (assume @p7 (forall @t27 (=> @t26 (=> @t25 @t24))))
% 0.48/1.02  (assume @p8 (forall @t22 (=> @t28 @t20)))
% 0.48/1.02  (assume @p9 (forall @t17 (=> @t29 @t15)))
% 0.48/1.02  (assume @p10 (forall @t27 (=> @t30 @t25)))
% 0.48/1.02  (assume @p11 (forall (@list @t31 @t33) (=> @t35 (=> @t34 @t32))))
% 0.48/1.02  (assume @p12 (forall (@list @t36 @t38) (=> @t40 (=> @t39 @t37))))
% 0.48/1.02  (assume @p13 (forall @t47 (=> @t46 (=> @t44 @t42))))
% 0.48/1.02  (assume @p14 (forall @t54 (=> @t53 (=> @t51 @t49))))
% 0.48/1.02  (assume @p15 @t64)
% 0.48/1.02  (assume @p16 (forall (@list @t66 @t65) (=> (_ (_ tptp.ord_le841296385at_nat @t66) @t65) (=> (not (_ tptp.finite772653738at_nat @t66)) (not (_ tptp.finite772653738at_nat @t65))))))
% 0.48/1.02  (assume @p17 (forall (@list @t68 @t67) (=> (_ (_ tptp.ord_le456379495od_a_a @t68) @t67) (=> (not (_ tptp.finite1664988688od_a_a @t68)) (not (_ tptp.finite1664988688od_a_a @t67))))))
% 0.48/1.02  (assume @p18 (forall (@list @t70 @t69) (=> (_ (_ tptp.ord_less_eq_set_a @t70) @t69) (=> (not (_ tptp.finite_finite_a @t70)) (not (_ tptp.finite_finite_a @t69))))))
% 0.48/1.02  (assume @p19 (forall (@list @t72 @t71) (=> (_ (_ tptp.ord_less_eq_set_nat @t72) @t71) (=> @t73 (not (_ tptp.finite_finite_nat @t71))))))
% 0.48/1.02  (assume @p20 (forall (@list @t75 @t74) (=> (_ (_ tptp.ord_le1824328871od_a_a @t75) @t74) (=> (not (_ tptp.finite179568208od_a_a @t75)) (not (_ tptp.finite179568208od_a_a @t74))))))
% 0.48/1.02  (assume @p21 (forall (@list @t33 @t31) (=> @t34 (=> @t35 @t32))))
% 0.48/1.02  (assume @p22 (forall (@list @t38 @t36) (=> @t39 (=> @t40 @t37))))
% 0.48/1.02  (assume @p23 (forall (@list @t57 @t55) (=> @t58 (=> @t61 @t56))))
% 0.48/1.02  (assume @p24 (forall (@list @t50 @t48) (=> @t51 (=> @t53 @t49))))
% 0.48/1.02  (assume @p25 (forall (@list @t43 @t41) (=> @t44 (=> @t46 @t42))))
% 0.48/1.02  (assume @p26 (forall @t89 (=> @t88 (=> @t87 (exists @t86 (and @t85 (_ @t84 @t77) (forall @t82 (=> @t81 (=> (_ @t79 @t76) @t78)))))))))
% 0.48/1.02  (assume @p27 (forall @t104 (=> @t49 (=> @t103 (exists @t101 (and @t100 (_ @t98 @t91) (forall @t96 (=> @t95 (=> (_ @t93 @t90) @t92)))))))))
% 0.48/1.02  (assume @p28 (forall @t118 (=> @t117 (=> @t116 (exists @t115 (and @t114 (_ @t113 @t106) (forall @t111 (=> @t110 (=> (_ @t108 @t105) @t107)))))))))
% 0.48/1.02  (assume @p29 (forall @t132 (=> @t131 (=> @t130 (exists @t129 (and @t128 (_ @t127 @t120) (forall @t125 (=> @t124 (=> (_ @t122 @t119) @t121)))))))))
% 0.48/1.02  (assume @p30 (forall @t144 (=> (or @t143 @t141) (_ tptp.finite179568208od_a_a @t139))))
% 0.48/1.02  (assume @p31 (forall @t156 (=> (or @t155 @t153) (_ tptp.finite_finite_a @t151))))
% 0.48/1.02  (assume @p32 (forall @t168 (=> (or @t167 @t165) (_ tptp.finite_finite_nat @t163))))
% 0.48/1.02  (assume @p33 (forall @t177 (=> (or @t176 @t175) (_ tptp.finite772653738at_nat (_ tptp.collec7649004at_nat (lambda @t174 (and @t173 @t171)))))))
% 0.48/1.02  (assume @p34 (forall @t186 (=> (or @t185 @t184) (_ tptp.finite1664988688od_a_a (_ tptp.collec1635618130od_a_a (lambda @t183 (and @t182 @t180)))))))
% 0.48/1.02  (assume @p35 (forall @t144 (= (_ tptp.finite179568208od_a_a (_ tptp.collec645855634od_a_a (lambda @t138 (or @t137 @t135)))) (and @t143 @t141))))
% 0.48/1.02  (assume @p36 (forall @t156 (= (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t150 (or @t149 @t147)))) (and @t155 @t153))))
% 0.48/1.02  (assume @p37 (forall @t168 (= (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t162 (or @t161 @t159)))) (and @t167 @t165))))
% 0.48/1.02  (assume @p38 (forall @t177 (= (_ tptp.finite772653738at_nat (_ tptp.collec7649004at_nat (lambda @t174 (or @t173 @t171)))) (and @t176 @t175))))
% 0.48/1.02  (assume @p39 (forall @t186 (= (_ tptp.finite1664988688od_a_a (_ tptp.collec1635618130od_a_a (lambda @t183 (or @t182 @t180)))) (and @t185 @t184))))
% 0.48/1.02  (assume @p40 (forall (@list @t31) (=> @t32 (_ tptp.finite1457549322at_nat (_ tptp.collec1606769740at_nat (lambda (@list @t187) (_ (_ tptp.ord_le841296385at_nat @t187) @t31)))))))
% 0.48/1.02  (assume @p41 (forall (@list @t36) (=> @t37 (_ tptp.finite323969008od_a_a (_ tptp.collec453062450od_a_a (lambda (@list @t188) (_ (_ tptp.ord_le456379495od_a_a @t188) @t36)))))))
% 0.48/1.02  (assume @p42 (forall @t192 (=> @t56 (_ tptp.finite1145471536od_a_a (_ tptp.collec183727474od_a_a (lambda @t191 (_ @t190 @t55)))))))
% 0.48/1.02  (assume @p43 (forall @t195 (=> @t49 (_ tptp.finite2012248349et_nat (_ tptp.collect_set_nat (lambda (@list @t193) (_ @t194 @t48)))))))
% 0.48/1.02  (assume @p44 (forall @t198 (=> @t42 (_ tptp.finite_finite_set_a (_ tptp.collect_set_a (lambda (@list @t196) (_ @t197 @t41)))))))
% 0.48/1.02  (assume @p45 (forall (@list @t41 @t199) (=> @t42 (=> (forall @t204 (=> @t203 (_ tptp.finite_finite_nat (_ @t199 @t202)))) (_ tptp.finite1743148308_a_nat @t201)))))
% 0.48/1.02  (assume @p46 (forall (@list @t48 @t205) (=> @t49 (=> (forall @t210 (=> @t209 (_ tptp.finite_finite_a (_ @t205 @t208)))) (_ tptp.finite1808550458_nat_a @t207)))))
% 0.48/1.02  (assume @p47 (forall (@list @t48 @t211) (=> @t49 (=> (forall @t210 (=> @t209 (_ tptp.finite_finite_nat (_ @t211 @t208)))) (_ tptp.finite772653738at_nat @t213)))))
% 0.48/1.02  (assume @p48 (forall (@list @t41 @t214) (=> @t42 (=> (forall @t204 (=> @t203 (_ tptp.finite_finite_a (_ @t214 @t202)))) (_ tptp.finite179568208od_a_a @t216)))))
% 0.48/1.02  (assume @p49 (forall (@list @t55 @t217) (=> @t56 (=> (forall @t222 (=> @t221 (_ tptp.finite_finite_a (_ @t217 @t220)))) (_ tptp.finite1919032935_a_a_a @t219)))))
% 0.48/1.02  (assume @p50 (forall (@list @t55 @t223) (=> @t56 (=> (forall @t222 (=> @t221 (_ tptp.finite_finite_nat (_ @t223 @t220)))) (_ tptp.finite1837575485_a_nat @t225)))))
% 0.48/1.02  (assume @p51 (forall (@list @t41 @t226) (=> @t42 (=> (forall @t204 (=> @t203 (_ tptp.finite179568208od_a_a (_ @t226 @t202)))) (_ tptp.finite676513017od_a_a @t228)))))
% 0.48/1.02  (assume @p52 (forall (@list @t41 @t229) (=> @t42 (=> (forall @t204 (=> @t203 (_ tptp.finite772653738at_nat (_ @t229 @t202)))) (_ tptp.finite942416723at_nat (_ @t230 @t229))))))
% 0.48/1.02  (assume @p53 (forall (@list @t48 @t231) (=> @t49 (=> (forall @t210 (=> @t209 (_ tptp.finite179568208od_a_a (_ @t231 @t208)))) (_ tptp.finite1297454819od_a_a @t233)))))
% 0.48/1.02  (assume @p54 (forall (@list @t48 @t234) (=> @t49 (=> (forall @t210 (=> @t209 (_ tptp.finite772653738at_nat (_ @t234 @t208)))) (_ tptp.finite277291581at_nat (_ @t235 @t234))))))
% 0.48/1.02  (assume @p55 (forall @t27 (=> @t30 @t24)))
% 0.48/1.02  (assume @p56 (forall @t22 (=> @t28 @t19)))
% 0.48/1.02  (assume @p57 (forall @t17 (=> @t29 @t14)))
% 0.48/1.02  (assume @p58 (forall @t237 (=> (not @t143) (exists (@list @t236) (_ @t136 @t236)))))
% 0.48/1.02  (assume @p59 (forall (@list @t148) (=> (not @t155) (exists (@list @t238) (_ @t148 @t238)))))
% 0.48/1.02  (assume @p60 (forall @t240 (=> (not @t167) (exists (@list @t239) (_ @t160 @t239)))))
% 0.48/1.02  (assume @p61 (forall (@list @t172) (=> (not @t176) (exists (@list @t241) (_ @t172 @t241)))))
% 0.48/1.02  (assume @p62 (forall (@list @t181) (=> (not @t185) (exists (@list @t242) (_ @t181 @t242)))))
% 0.48/1.02  (assume @p63 (forall (@list @t41 @t43 @t245) (=> @t255 (=> @t44 (=> (forall @t250 (=> @t254 (exists @t253 (and @t252 (_ (_ @t245 @t243) @t251))))) (exists @t250 (and @t249 (not (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t247 (and @t246 (_ (_ @t245 @t244) @t243)))))))))))))
% 0.48/1.02  (assume @p64 (forall (@list @t41 @t50 @t256) (=> @t255 (=> @t51 (=> (forall @t250 (=> @t254 (exists @t96 (and @t258 (_ (_ @t256 @t243) @t90))))) (exists @t101 (and @t257 (not (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t247 (and @t246 (_ (_ @t256 @t244) @t91)))))))))))))
% 0.48/1.02  (assume @p65 (forall (@list @t48 @t43 @t260) (=> @t263 (=> @t44 (=> (forall @t101 (=> @t100 (exists @t253 (and @t252 (_ (_ @t260 @t91) @t251))))) (exists @t250 (and @t249 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t262 (and @t261 (_ (_ @t260 @t259) @t243)))))))))))))
% 0.48/1.02  (assume @p66 (forall (@list @t48 @t50 @t264) (=> @t263 (=> @t51 (=> (forall @t101 (=> @t100 (exists @t96 (and @t258 (_ (_ @t264 @t91) @t90))))) (exists @t101 (and @t257 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t262 (and @t261 (_ (_ @t264 @t259) @t91)))))))))))))
% 0.48/1.02  (assume @p67 (forall (@list @t55 @t43 @t266) (=> @t273 (=> @t44 (=> (forall @t272 (=> @t271 (exists @t253 (and @t252 (_ (_ @t266 @t269) @t251))))) (exists @t250 (and @t249 (not (_ tptp.finite179568208od_a_a (_ tptp.collec645855634od_a_a (lambda @t268 (and @t267 (_ (_ @t266 @t265) @t243)))))))))))))
% 0.48/1.02  (assume @p68 (forall (@list @t55 @t50 @t274) (=> @t273 (=> @t51 (=> (forall @t272 (=> @t271 (exists @t96 (and @t258 (_ (_ @t274 @t269) @t90))))) (exists @t101 (and @t257 (not (_ tptp.finite179568208od_a_a (_ tptp.collec645855634od_a_a (lambda @t268 (and @t267 (_ (_ @t274 @t265) @t91)))))))))))))
% 0.48/1.02  (assume @p69 (forall (@list @t41 @t57 @t275) (=> @t255 (=> @t58 (=> (forall @t250 (=> @t254 (exists @t279 (and @t278 (_ (_ @t275 @t243) @t277))))) (exists @t272 (and @t276 (not (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t247 (and @t246 (_ (_ @t275 @t244) @t269)))))))))))))
% 0.48/1.02  (assume @p70 (forall (@list @t41 @t33 @t281) (=> @t255 (=> @t34 (=> (forall @t250 (=> @t254 (exists @t286 (and @t285 (_ (_ @t281 @t243) @t284))))) (exists @t283 (and @t282 (not (_ tptp.finite_finite_a (_ tptp.collect_a (lambda @t247 (and @t246 (_ (_ @t281 @t244) @t280)))))))))))))
% 0.48/1.02  (assume @p71 (forall (@list @t48 @t57 @t287) (=> @t263 (=> @t58 (=> (forall @t101 (=> @t100 (exists @t279 (and @t278 (_ (_ @t287 @t91) @t277))))) (exists @t272 (and @t276 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t262 (and @t261 (_ (_ @t287 @t259) @t269)))))))))))))
% 0.48/1.02  (assume @p72 (forall (@list @t48 @t33 @t288) (=> @t263 (=> @t34 (=> (forall @t101 (=> @t100 (exists @t286 (and @t285 (_ (_ @t288 @t91) @t284))))) (exists @t283 (and @t282 (not (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t262 (and @t261 (_ (_ @t288 @t259) @t280)))))))))))))
% 0.48/1.02  (assume @p73 (forall @t27 (=> @t30 @t30)))
% 0.48/1.02  (assume @p74 (forall @t290 (=> @t42 (=> @t51 @t289))))
% 0.48/1.02  (assume @p75 (forall @t293 (=> @t49 (=> @t44 @t292))))
% 0.48/1.02  (assume @p76 (forall @t54 (=> @t49 (=> @t51 @t294))))
% 0.48/1.02  (assume @p77 (forall @t47 (=> @t42 (=> @t44 @t296))))
% 0.48/1.02  (assume @p78 (forall @t299 (=> @t56 (=> @t44 @t298))))
% 0.48/1.02  (assume @p79 (forall @t301 (=> @t56 (=> @t51 @t300))))
% 0.48/1.02  (assume @p80 (forall @t303 (=> @t42 (=> @t58 @t302))))
% 0.48/1.02  (assume @p81 (forall @t305 (=> @t42 (=> @t34 @t304))))
% 0.48/1.02  (assume @p82 (forall @t307 (=> @t49 (=> @t58 @t306))))
% 0.48/1.02  (assume @p83 (forall @t309 (=> @t49 (=> @t34 @t308))))
% 0.48/1.02  (assume @p84 (forall @t9 (=> (_ tptp.pair_p752841413at_nat @t7) @t8)))
% 0.48/1.02  (assume @p85 (forall @t12 (=> (_ tptp.pair_p159207083od_a_a @t10) @t11)))
% 0.48/1.02  (assume @p86 (forall @t27 (=> @t30 @t26)))
% 0.48/1.02  (assume @p87 (forall @t22 (=> @t28 @t21)))
% 0.48/1.02  (assume @p88 (forall @t17 (=> @t29 @t16)))
% 0.48/1.02  (assume @p89 (forall @t89 (=> @t88 (=> @t87 (exists @t86 (and @t85 (_ @t79 @t83) (forall @t82 (=> @t81 (=> (_ (_ tptp.ord_le1824328871od_a_a @t76) @t77) @t78)))))))))
% 0.48/1.02  (assume @p90 (forall @t104 (=> @t49 (=> @t103 (exists @t101 (and @t100 (_ @t93 @t97) (forall @t96 (=> @t95 (=> (_ (_ tptp.ord_less_eq_nat @t90) @t91) @t92)))))))))
% 0.48/1.02  (assume @p91 (forall @t118 (=> @t117 (=> @t116 (exists @t115 (and @t114 (_ @t108 @t112) (forall @t111 (=> @t110 (=> (_ (_ tptp.ord_less_eq_set_nat @t105) @t106) @t107)))))))))
% 0.48/1.02  (assume @p92 (forall @t132 (=> @t131 (=> @t130 (exists @t129 (and @t128 (_ @t122 @t126) (forall @t125 (=> @t124 (=> (_ (_ tptp.ord_less_eq_set_a @t119) @t120) @t121)))))))))
% 0.48/1.02  (assume @p93 (forall @t290 (=> @t255 (=> @t310 (not @t289)))))
% 0.48/1.02  (assume @p94 (forall @t293 (=> @t263 (=> @t311 (not @t292)))))
% 0.48/1.02  (assume @p95 (forall @t54 (=> @t263 (=> @t310 (not @t294)))))
% 0.48/1.02  (assume @p96 (forall @t47 (=> @t255 (=> @t311 (not @t296)))))
% 0.48/1.02  (assume @p97 (forall @t299 (=> @t273 (=> @t311 (not @t298)))))
% 0.48/1.02  (assume @p98 (forall @t301 (=> @t273 (=> @t310 (not @t300)))))
% 0.48/1.02  (assume @p99 (forall @t303 (=> @t255 (=> @t312 (not @t302)))))
% 0.48/1.02  (assume @p100 (forall @t305 (=> @t255 (=> @t313 (not @t304)))))
% 0.48/1.02  (assume @p101 (forall @t307 (=> @t263 (=> @t312 (not @t306)))))
% 0.48/1.02  (assume @p102 (forall @t309 (=> @t263 (=> @t313 (not @t308)))))
% 0.48/1.02  (assume @p103 (forall (@list @t317 @t314 @t55 @t57) (=> @t319 (= (_ (_ tptp.ord_le456379495od_a_a (_ @t316 @t315)) (_ (_ tptp.produc304751368od_a_a @t57) @t315)) @t61))))
% 0.48/1.02  (assume @p104 (forall (@list @t322 @t320 @t55 @t57) (=> @t324 (= (_ (_ tptp.ord_le492294332_a_nat (_ @t224 @t321)) (_ (_ tptp.produc931712687_a_nat @t57) @t321)) @t61))))
% 0.48/1.02  (assume @p105 (forall (@list @t317 @t314 @t48 @t50) (=> @t319 (= (_ (_ tptp.ord_le2084554594od_a_a (_ @t232 @t325)) (_ (_ tptp.produc1182842125od_a_a @t50) @t325)) @t53))))
% 0.48/1.02  (assume @p106 (forall (@list @t322 @t320 @t48 @t50) (=> @t324 (= (_ (_ tptp.ord_le841296385at_nat (_ @t212 @t326)) (_ (_ tptp.produc45129834at_nat @t50) @t326)) @t53))))
% 0.48/1.02  (assume @p107 (forall (@list @t317 @t314 @t41 @t43) (=> @t319 (= (_ (_ tptp.ord_le1816232656od_a_a (_ @t227 @t327)) (_ (_ tptp.produc520147185od_a_a @t43) @t327)) @t46))))
% 0.48/1.02  (assume @p108 (forall (@list @t322 @t320 @t41 @t43) (=> @t324 (= (_ (_ tptp.ord_le2073555219_a_nat (_ @t200 @t328)) (_ (_ tptp.product_Sigma_a_nat @t43) @t328)) @t46))))
% 0.48/1.02  (assume @p109 (forall @t337 (=> @t336 (= (_ (_ tptp.ord_le1824328871od_a_a @t333) @t332) @t46))))
% 0.48/1.02  (assume @p110 (forall (@list @t55 @t314 @t339 @t338) (=> @t340 (=> (forall @t272 (=> @t271 (_ (_ tptp.ord_le1824328871od_a_a (_ @t339 @t269)) (_ @t338 @t269)))) (_ (_ tptp.ord_le456379495od_a_a (_ @t316 @t339)) (_ (_ tptp.produc304751368od_a_a @t314) @t338))))))
% 0.48/1.02  (assume @p111 (forall (@list @t55 @t314 @t223 @t341) (=> @t340 (=> (forall @t272 (=> @t271 (_ (_ tptp.ord_less_eq_set_nat (_ @t223 @t269)) (_ @t341 @t269)))) (_ (_ tptp.ord_le492294332_a_nat @t225) (_ (_ tptp.produc931712687_a_nat @t314) @t341))))))
% 0.48/1.02  (assume @p112 (forall (@list @t55 @t314 @t217 @t342) (=> @t340 (=> (forall @t272 (=> @t271 (_ (_ tptp.ord_less_eq_set_a (_ @t217 @t269)) (_ @t342 @t269)))) (_ (_ tptp.ord_le677315902_a_a_a @t219) (_ (_ tptp.produc1282482655_a_a_a @t314) @t342))))))
% 0.48/1.02  (assume @p113 (forall (@list @t48 @t320 @t231 @t343) (=> @t344 (=> (forall @t101 (=> @t100 (_ (_ tptp.ord_le1824328871od_a_a (_ @t231 @t91)) (_ @t343 @t91)))) (_ (_ tptp.ord_le2084554594od_a_a @t233) (_ (_ tptp.produc1182842125od_a_a @t320) @t343))))))
% 0.48/1.02  (assume @p114 (forall (@list @t48 @t320 @t211 @t345) (=> @t344 (=> (forall @t101 (=> @t100 (_ (_ tptp.ord_less_eq_set_nat (_ @t211 @t91)) (_ @t345 @t91)))) (_ (_ tptp.ord_le841296385at_nat @t213) (_ (_ tptp.produc45129834at_nat @t320) @t345))))))
% 0.48/1.02  (assume @p115 (forall (@list @t48 @t320 @t205 @t346) (=> @t344 (=> (forall @t101 (=> @t100 (_ (_ tptp.ord_less_eq_set_a (_ @t205 @t91)) (_ @t346 @t91)))) (_ (_ tptp.ord_le344568633_nat_a @t207) (_ (_ tptp.product_Sigma_nat_a @t320) @t346))))))
% 0.48/1.02  (assume @p116 (forall (@list @t41 @t329 @t226 @t347) (=> @t348 (=> (forall @t250 (=> @t254 (_ (_ tptp.ord_le1824328871od_a_a (_ @t226 @t243)) (_ @t347 @t243)))) (_ (_ tptp.ord_le1816232656od_a_a @t228) (_ (_ tptp.produc520147185od_a_a @t329) @t347))))))
% 0.48/1.02  (assume @p117 (forall (@list @t41 @t329 @t199 @t349) (=> @t348 (=> (forall @t250 (=> @t254 (_ (_ tptp.ord_less_eq_set_nat (_ @t199 @t243)) (_ @t349 @t243)))) (_ (_ tptp.ord_le2073555219_a_nat @t201) (_ (_ tptp.product_Sigma_a_nat @t329) @t349))))))
% 0.48/1.02  (assume @p118 (forall (@list @t41 @t329 @t214 @t350) (=> @t348 (=> (forall @t250 (=> @t254 (_ (_ tptp.ord_less_eq_set_a (_ @t214 @t243)) @t351))) (_ (_ tptp.ord_le1824328871od_a_a @t216) (_ (_ tptp.product_Sigma_a_a @t329) @t350))))))
% 0.48/1.02  (assume @p119 (forall @t63 (=> (forall @t272 (=> @t271 @t276)) @t61)))
% 0.48/1.02  (assume @p120 (forall @t54 (=> (forall @t101 (=> @t100 @t257)) @t53)))
% 0.48/1.02  (assume @p121 (forall @t47 (=> (forall @t250 (=> @t254 @t249)) @t46)))
% 0.48/1.02  (assume @p122 (forall @t63 (=> @t61 (=> @t354 @t352))))
% 0.48/1.02  (assume @p123 (forall @t54 (=> @t53 (=> @t357 @t355))))
% 0.48/1.02  (assume @p124 (forall @t47 (=> @t46 (=> @t360 @t358))))
% 0.48/1.02  (assume @p125 (forall (@list @t361) (_ @t362 @t361)))
% 0.48/1.02  (assume @p126 (forall (@list @t322) (_ @t363 @t322)))
% 0.48/1.02  (assume @p127 (forall (@list @t364) (_ @t365 @t364)))
% 0.48/1.02  (assume @p128 (forall (@list @t366) (_ @t367 @t366)))
% 0.48/1.02  (assume @p129 (forall (@list @t369 @t368) (=> (= @t372 (_ tptp.pair_p1047056820t_unit @t368)) (=> (= @t371 (_ tptp.pair_p133601421t_unit @t368)) (=> (= @t370 (_ tptp.pair_p1896222615t_unit @t368)) (= @t369 @t368))))))
% 0.48/1.02  (assume @p130 (forall (@list @t374 @t373) (=> (= @t377 (_ tptp.pair_p1677060310t_unit @t373)) (=> (= @t376 (_ tptp.pair_p715279805t_unit @t373)) (=> (= @t375 (_ tptp.pair_p69470259t_unit @t373)) (= @t374 @t373))))))
% 0.48/1.02  (assume @p131 (forall (@list @t379 @t378) (=> (= @t382 (_ tptp.pair_p447552203t_unit @t378)) (=> (= @t381 (_ tptp.pair_p1783210148t_unit @t378)) (=> (= @t380 (_ tptp.pair_p1984658862t_unit @t378)) (= @t379 @t378))))))
% 0.48/1.02  (assume @p132 (forall (@list @t41 @t43 @t383 @t350) (=> @t358 (=> (forall @t250 (=> @t249 (= (_ @t383 @t243) @t351))) (= (_ @t215 @t383) (_ @t331 @t350))))))
% 0.48/1.02  (assume @p133 (forall @t337 (=> @t336 (= (= @t333 @t332) @t358))))
% 0.48/1.02  (assume @p134 (forall (@list @t55 @t136) (_ (_ tptp.ord_le1824328871od_a_a @t386) @t55)))
% 0.48/1.02  (assume @p135 (forall (@list @t48 @t160) (_ (_ tptp.ord_less_eq_set_nat @t389) @t48)))
% 0.48/1.02  (assume @p136 (forall (@list @t41 @t148) (_ (_ tptp.ord_less_eq_set_a @t391) @t41)))
% 0.48/1.02  (assume @p137 (forall (@list @t392 @t83) (=> @t396 (=> @t394 @t393))))
% 0.48/1.02  (assume @p138 (forall (@list @t397 @t97) (=> @t401 (=> @t399 @t398))))
% 0.48/1.02  (assume @p139 (forall (@list @t402 @t112) (=> @t406 (=> @t404 @t403))))
% 0.48/1.02  (assume @p140 (forall (@list @t407 @t126) (=> @t411 (=> @t409 @t408))))
% 0.48/1.02  (assume @p141 (= @t419 (lambda @t416 (and @t415 @t414))))
% 0.48/1.02  (assume @p142 (= @t426 (lambda @t423 (and @t422 @t421))))
% 0.48/1.02  (assume @p143 (= @t434 (lambda @t431 (and @t430 @t429))))
% 0.48/1.02  (assume @p144 (= @t442 (lambda @t439 (and @t438 @t437))))
% 0.48/1.02  (assume @p145 (forall (@list @t392 @t83 @t443) (=> @t396 (=> (_ @t444 @t392) (_ @t444 @t83)))))
% 0.48/1.02  (assume @p146 (forall (@list @t397 @t97 @t445) (=> @t401 (=> (_ @t446 @t397) (_ @t446 @t97)))))
% 0.48/1.02  (assume @p147 (forall (@list @t402 @t112 @t447) (=> @t406 (=> (_ @t448 @t402) (_ @t448 @t112)))))
% 0.48/1.02  (assume @p148 (forall (@list @t407 @t126 @t449) (=> @t411 (=> (_ @t450 @t407) (_ @t450 @t126)))))
% 0.48/1.02  (assume @p149 (forall (@list @t451 @t97 @t397) (=> (forall @t454 (=> (_ (_ tptp.ord_less_eq_nat @t208) @t452) @t453)) (=> (forall @t454 (=> (_ (_ @t451 @t452) @t208) @t453)) (_ (_ @t451 @t97) @t397)))))
% 0.48/1.02  (assume @p150 (forall (@list @t83) (_ @t84 @t83)))
% 0.48/1.02  (assume @p151 (forall (@list @t97) (_ @t98 @t97)))
% 0.48/1.02  (assume @p152 (forall (@list @t112) (_ @t113 @t112)))
% 0.48/1.02  (assume @p153 (forall (@list @t126) (_ @t127 @t126)))
% 0.48/1.02  (assume @p154 (forall (@list @t361 @t456 @t455) (=> @t458 (=> (_ @t457 @t455) (_ @t362 @t455)))))
% 0.48/1.02  (assume @p155 (forall @t465 (=> @t464 (=> @t463 @t460))))
% 0.48/1.02  (assume @p156 (forall (@list @t364 @t467 @t466) (=> @t469 (=> (_ @t468 @t466) (_ @t365 @t466)))))
% 0.48/1.02  (assume @p157 (forall (@list @t366 @t471 @t470) (=> @t473 (=> (_ @t472 @t470) (_ @t367 @t470)))))
% 0.48/1.02  (assume @p158 (forall (@list @t83 @t392) (=> @t394 (=> @t396 @t393))))
% 0.48/1.02  (assume @p159 (forall (@list @t97 @t397) (=> @t399 (=> @t401 @t398))))
% 0.48/1.02  (assume @p160 (forall (@list @t112 @t402) (=> @t404 (=> @t406 @t403))))
% 0.48/1.02  (assume @p161 (forall (@list @t126 @t407) (=> @t409 (=> @t411 @t408))))
% 0.48/1.02  (assume @p162 (forall @t475 (=> @t394 (=> (= @t392 @t443) @t474))))
% 0.48/1.02  (assume @p163 (forall @t477 (=> @t399 (=> (= @t397 @t445) @t476))))
% 0.48/1.02  (assume @p164 (forall @t479 (=> @t404 (=> (= @t402 @t447) @t478))))
% 0.48/1.02  (assume @p165 (forall @t481 (=> @t409 (=> (= @t407 @t449) @t480))))
% 0.48/1.02  (assume @p166 (forall (@list @t482 @t136) (= (_ (_ tptp.member449909584od_a_a @t482) @t142) (_ @t136 @t482))))
% 0.48/1.02  (assume @p167 (forall (@list @t97 @t160) (= (_ @t102 @t166) (_ @t160 @t97))))
% 0.48/1.02  (assume @p168 (forall @t192 (= (_ tptp.collec645855634od_a_a @t483) @t55)))
% 0.48/1.02  (assume @p169 (forall @t195 (= (_ tptp.collect_nat (lambda @t162 @t388)) @t48)))
% 0.48/1.02  (assume @p170 (forall @t144 (=> (forall @t272 (= @t485 @t484)) (= @t142 @t140))))
% 0.48/1.02  (assume @p171 (forall @t168 (=> (forall @t101 (= @t487 @t486)) (= @t166 @t164))))
% 0.48/1.02  (assume @p172 (forall @t475 (=> @t393 @t489)))
% 0.48/1.02  (assume @p173 (forall @t477 (=> @t398 @t491)))
% 0.48/1.02  (assume @p174 (forall @t479 (=> @t403 @t493)))
% 0.48/1.02  (assume @p175 (forall @t481 (=> @t408 @t495)))
% 0.48/1.02  (assume @p176 (= @t419 (lambda @t416 (and @t414 @t415))))
% 0.48/1.02  (assume @p177 (= @t426 (lambda @t423 (and @t421 @t422))))
% 0.48/1.02  (assume @p178 (= @t434 (lambda @t431 (and @t429 @t430))))
% 0.48/1.02  (assume @p179 (= @t442 (lambda @t439 (and @t437 @t438))))
% 0.48/1.02  (assume @p180 (forall (@list @t456 @t361) (=> @t497 (= @t458 @t496))))
% 0.48/1.02  (assume @p181 (forall (@list @t461 @t322) (=> @t499 (= @t464 @t498))))
% 0.48/1.02  (assume @p182 (forall (@list @t467 @t364) (=> @t501 (= @t469 @t500))))
% 0.48/1.02  (assume @p183 (forall (@list @t471 @t366) (=> @t503 (= @t473 @t502))))
% 0.48/1.02  (assume @p184 (forall @t465 (=> (=> @t464 (not @t463)) (=> (=> @t499 (not @t460)) (=> (=> @t460 (not @t507)) (=> (=> @t507 (not @t499)) (=> (=> @t463 (not @t506)) (not (=> @t506 @t504)))))))))
% 0.48/1.02  (assume @p185 (forall @t475 (=> @t394 @t489)))
% 0.48/1.02  (assume @p186 (forall @t477 (=> @t399 @t491)))
% 0.48/1.02  (assume @p187 (forall @t479 (=> @t404 @t493)))
% 0.48/1.02  (assume @p188 (forall @t481 (=> @t409 @t495)))
% 0.48/1.02  (assume @p189 (forall @t508 (=> @t504 @t499)))
% 0.48/1.02  (assume @p190 (forall @t509 (=> @t496 @t458)))
% 0.48/1.02  (assume @p191 (forall @t508 (=> @t498 @t464)))
% 0.48/1.02  (assume @p192 (forall @t510 (=> @t500 @t469)))
% 0.48/1.02  (assume @p193 (forall @t511 (=> @t502 @t473)))
% 0.48/1.02  (assume @p194 (forall @t508 (or @t464 @t499)))
% 0.48/1.02  (assume @p195 (forall @t509 (=> @t458 (=> @t497 @t496))))
% 0.48/1.02  (assume @p196 (forall @t508 (=> @t464 (=> @t499 @t498))))
% 0.48/1.02  (assume @p197 (forall @t510 (=> @t469 (=> @t501 @t500))))
% 0.48/1.02  (assume @p198 (forall @t511 (=> @t473 (=> @t503 @t502))))
% 0.48/1.02  (assume @p199 (= @t419 (lambda (@list @t512 @t513) (and (_ (_ tptp.ord_le1824328871od_a_a @t512) @t513) (_ (_ tptp.ord_le1824328871od_a_a @t513) @t512)))))
% 0.48/1.02  (assume @p200 (= @t426 (lambda (@list @t157 @t514) (and (_ @t515 @t514) (_ (_ tptp.ord_less_eq_nat @t514) @t157)))))
% 0.48/1.02  (assume @p201 (= @t434 (lambda (@list @t516 @t517) (and (_ (_ tptp.ord_less_eq_set_nat @t516) @t517) (_ (_ tptp.ord_less_eq_set_nat @t517) @t516)))))
% 0.48/1.02  (assume @p202 (= @t442 (lambda (@list @t518 @t519) (and (_ (_ tptp.ord_less_eq_set_a @t518) @t519) (_ (_ tptp.ord_less_eq_set_a @t519) @t518)))))
% 0.48/1.02  (assume @p203 (forall @t527 (=> @t399 (=> (= @t526 @t445) @t525))))
% 0.48/1.02  (assume @p204 (forall @t532 (=> @t399 (=> (= @t531 @t447) @t530))))
% 0.48/1.02  (assume @p205 (forall @t537 (=> @t399 (=> (= @t536 @t449) @t535))))
% 0.48/1.02  (assume @p206 (forall @t545 (=> @t404 (=> (= @t544 @t445) @t543))))
% 0.48/1.02  (assume @p207 (forall @t553 (=> @t409 (=> (= @t552 @t445) @t551))))
% 0.48/1.02  (assume @p208 (forall @t558 (=> @t404 (=> (= @t557 @t447) @t556))))
% 0.48/1.02  (assume @p209 (forall @t563 (=> @t404 (=> (= @t562 @t449) @t561))))
% 0.48/1.02  (assume @p210 (forall @t568 (=> @t409 (=> (= @t567 @t447) @t566))))
% 0.48/1.02  (assume @p211 (forall @t573 (=> @t409 (=> (= @t572 @t449) @t571))))
% 0.48/1.02  (assume @p212 (forall @t579 (=> @t394 (=> (= @t578 @t445) @t577))))
% 0.48/1.02  (assume @p213 (forall @t581 (=> (= @t97 @t526) @t580)))
% 0.48/1.02  (assume @p214 (forall @t583 (=> (= @t112 @t531) @t582)))
% 0.48/1.02  (assume @p215 (forall @t585 (=> (= @t126 @t536) @t584)))
% 0.48/1.02  (assume @p216 (forall @t587 (=> (= @t97 @t544) @t586)))
% 0.48/1.02  (assume @p217 (forall @t589 (=> (= @t97 @t552) @t588)))
% 0.48/1.02  (assume @p218 (forall @t591 (=> (= @t112 @t557) @t590)))
% 0.48/1.02  (assume @p219 (forall @t593 (=> (= @t126 @t562) @t592)))
% 0.48/1.02  (assume @p220 (forall @t595 (=> (= @t112 @t567) @t594)))
% 0.48/1.02  (assume @p221 (forall @t597 (=> (= @t126 @t572) @t596)))
% 0.48/1.02  (assume @p222 (forall (@list @t97 @t574 @t392 @t443) (=> (= @t97 @t578) (=> @t488 (=> @t576 (_ @t98 (_ @t574 @t443)))))))
% 0.48/1.02  (assume @p223 (forall @t527 (=> @t399 (=> (_ (_ tptp.ord_less_eq_nat @t526) @t445) @t525))))
% 0.48/1.02  (assume @p224 (forall @t532 (=> @t399 (=> (_ (_ tptp.ord_less_eq_set_nat @t531) @t447) @t530))))
% 0.48/1.02  (assume @p225 (forall @t537 (=> @t399 (=> (_ (_ tptp.ord_less_eq_set_a @t536) @t449) @t535))))
% 0.48/1.02  (assume @p226 (forall @t545 (=> @t404 (=> (_ (_ tptp.ord_less_eq_nat @t544) @t445) @t543))))
% 0.48/1.02  (assume @p227 (forall @t553 (=> @t409 (=> (_ (_ tptp.ord_less_eq_nat @t552) @t445) @t551))))
% 0.48/1.02  (assume @p228 (forall @t558 (=> @t404 (=> (_ (_ tptp.ord_less_eq_set_nat @t557) @t447) @t556))))
% 0.48/1.02  (assume @p229 (forall @t563 (=> @t404 (=> (_ (_ tptp.ord_less_eq_set_a @t562) @t449) @t561))))
% 0.48/1.02  (assume @p230 (forall @t568 (=> @t409 (=> (_ (_ tptp.ord_less_eq_set_nat @t567) @t447) @t566))))
% 0.48/1.02  (assume @p231 (forall @t573 (=> @t409 (=> (_ (_ tptp.ord_less_eq_set_a @t572) @t449) @t571))))
% 0.48/1.02  (assume @p232 (forall @t579 (=> @t394 (=> (_ (_ tptp.ord_less_eq_nat @t578) @t445) @t577))))
% 0.48/1.02  (assume @p233 (forall @t581 (=> (_ @t98 @t526) @t580)))
% 0.48/1.02  (assume @p234 (forall @t587 (=> (_ @t98 @t544) @t586)))
% 0.48/1.02  (assume @p235 (forall @t589 (=> (_ @t98 @t552) @t588)))
% 0.48/1.02  (assume @p236 (forall @t583 (=> (_ @t113 @t531) @t582)))
% 0.48/1.02  (assume @p237 (forall @t585 (=> (_ @t127 @t536) @t584)))
% 0.48/1.02  (assume @p238 (forall @t591 (=> (_ @t113 @t557) @t590)))
% 0.48/1.02  (assume @p239 (forall @t595 (=> (_ @t113 @t567) @t594)))
% 0.48/1.02  (assume @p240 (forall @t593 (=> (_ @t127 @t562) @t592)))
% 0.48/1.02  (assume @p241 (forall @t597 (=> (_ @t127 @t572) @t596)))
% 0.48/1.02  (assume @p242 (forall (@list @t83 @t598 @t397 @t445) (=> (_ @t84 (_ @t598 @t397)) (=> @t490 (=> (forall @t523 (=> @t522 (_ (_ tptp.ord_le1824328871od_a_a (_ @t598 @t91)) (_ @t598 @t521)))) (_ @t84 (_ @t598 @t445)))))))
% 0.48/1.02  (assume @p243 (forall @t144 (= @t599 (forall @t138 (=> @t137 @t135)))))
% 0.48/1.02  (assume @p244 (forall @t168 (= @t600 (forall @t162 (=> @t161 @t159)))))
% 0.48/1.02  (assume @p245 (forall @t156 (= @t601 (forall @t150 (=> @t149 @t147)))))
% 0.48/1.02  (assume @p246 (= @t419 (lambda @t603 (and (_ (_ tptp.ord_le1824328871od_a_a @t602) @t189) (_ @t190 @t602)))))
% 0.48/1.02  (assume @p247 (= @t434 (lambda @t605 (and (_ (_ tptp.ord_less_eq_set_nat @t604) @t193) (_ @t194 @t604)))))
% 0.48/1.02  (assume @p248 (= @t442 (lambda @t607 (and (_ (_ tptp.ord_less_eq_set_a @t606) @t196) (_ @t197 @t606)))))
% 0.48/1.02  (assume @p249 (forall (@list @t55 @t57 @t314) (=> @t61 (=> (_ @t353 @t314) @t340))))
% 0.48/1.02  (assume @p250 (forall (@list @t48 @t50 @t320) (=> @t53 (=> (_ @t356 @t320) @t344))))
% 0.48/1.02  (assume @p251 (forall (@list @t41 @t43 @t329) (=> @t46 (=> (_ @t359 @t329) @t348))))
% 0.48/1.02  (assume @p252 (forall @t144 (=> (forall @t272 (=> @t485 @t484)) @t599)))
% 0.48/1.02  (assume @p253 (forall @t168 (=> (forall @t101 (=> @t487 @t486)) @t600)))
% 0.48/1.02  (assume @p254 (forall @t156 (=> (forall @t250 (=> @t609 @t608)) @t601)))
% 0.48/1.02  (assume @p255 (forall @t192 (_ @t60 @t55)))
% 0.48/1.02  (assume @p256 (forall @t195 (_ @t52 @t48)))
% 0.48/1.02  (assume @p257 (forall @t198 (_ @t45 @t41)))
% 0.48/1.02  (assume @p258 (= tptp.ord_le1824328871od_a_a (lambda @t603 (forall (@list @t610) (=> (_ @t611 @t602) (_ @t611 @t189))))))
% 0.48/1.02  (assume @p259 (= tptp.ord_less_eq_set_nat (lambda @t605 (forall (@list @t612) (=> (_ @t613 @t604) (_ @t613 @t193))))))
% 0.48/1.02  (assume @p260 (= tptp.ord_less_eq_set_a (lambda @t607 (forall (@list @t614) (=> (_ @t615 @t606) (_ @t615 @t196))))))
% 0.48/1.02  (assume @p261 (forall @t63 (=> @t352 @t354)))
% 0.48/1.02  (assume @p262 (forall @t54 (=> @t355 @t357)))
% 0.48/1.02  (assume @p263 (forall @t47 (=> @t358 @t360)))
% 0.48/1.02  (assume @p264 (forall @t63 (=> @t352 @t61)))
% 0.48/1.02  (assume @p265 (forall @t54 (=> @t355 @t53)))
% 0.48/1.02  (assume @p266 (forall @t47 (=> @t358 @t46)))
% 0.48/1.02  (assume @p267 (= tptp.ord_le1824328871od_a_a (lambda @t603 (forall @t138 (=> @t617 @t616)))))
% 0.48/1.02  (assume @p268 (= tptp.ord_less_eq_set_nat (lambda @t605 (forall @t162 (=> @t619 @t618)))))
% 0.48/1.02  (assume @p269 (= tptp.ord_less_eq_set_a (lambda @t607 (forall @t150 (=> @t621 @t620)))))
% 0.48/1.02  (assume @p270 (forall @t63 (=> @t352 (not (=> @t61 (not @t354))))))
% 0.48/1.02  (assume @p271 (forall @t54 (=> @t355 (not (=> @t53 (not @t357))))))
% 0.48/1.02  (assume @p272 (forall @t47 (=> @t358 (not (=> @t46 (not @t360))))))
% 0.48/1.02  (assume @p273 (forall (@list @t55 @t57 @t622) (=> @t61 (=> (_ @t623 @t55) (_ @t623 @t57)))))
% 0.48/1.02  (assume @p274 (forall (@list @t48 @t50 @t445) (=> @t53 (=> (_ @t624 @t48) (_ @t624 @t50)))))
% 0.48/1.02  (assume @p275 (forall (@list @t41 @t43 @t625) (=> @t46 (=> (_ @t626 @t41) (_ @t626 @t43)))))
% 0.48/1.02  (assume @p276 (forall (@list @t55 @t57 @t317) (=> @t61 (=> (_ @t318 @t55) (_ @t318 @t57)))))
% 0.48/1.02  (assume @p277 (forall (@list @t48 @t50 @t322) (=> @t53 (=> (_ @t323 @t48) (_ @t323 @t50)))))
% 0.48/1.02  (assume @p278 (forall (@list @t41 @t43 @t334) (=> @t46 (=> (_ @t335 @t41) (_ @t335 @t43)))))
% 0.48/1.02  (assume @p279 (forall (@list @t627 @t75) (= (_ (_ tptp.ord_le1347718902_a_a_o (lambda @t138 (_ @t384 @t627))) (lambda @t138 (_ @t384 @t75))) (_ (_ tptp.ord_le1824328871od_a_a @t627) @t75))))
% 0.48/1.02  (assume @p280 (forall (@list @t628 @t72) (= (_ (_ tptp.ord_less_eq_nat_o (lambda @t162 (_ @t387 @t628))) (lambda @t162 (_ @t387 @t72))) (_ (_ tptp.ord_less_eq_set_nat @t628) @t72))))
% 0.48/1.02  (assume @p281 (forall (@list @t629 @t70) (= (_ (_ tptp.ord_less_eq_a_o (lambda @t150 (_ @t390 @t629))) (lambda @t150 (_ @t390 @t70))) (_ (_ tptp.ord_less_eq_set_a @t629) @t70))))
% 0.48/1.02  (assume @p282 (forall (@list @t369) (= @t369 (_ (_ (_ tptp.pair_p1621517565t_unit @t372) @t371) @t370))))
% 0.48/1.02  (assume @p283 (forall (@list @t374) (= @t374 (_ (_ (_ tptp.pair_p1167410509t_unit @t377) @t376) @t375))))
% 0.48/1.02  (assume @p284 (forall (@list @t379) (= @t379 (_ (_ (_ tptp.pair_p398687508t_unit @t382) @t381) @t380))))
% 0.48/1.02  (assume @p285 (forall (@list @t317 @t41 @t43) (= (_ @t318 (_ (_ tptp.product_product_a_a @t41) @t43)) (_ @t318 @t295))))
% 0.48/1.02  (assume @p286 (forall (@list @t57 @t55 @t136) (=> @t354 (= (_ @t353 @t386) (forall @t138 (=> @t630 @t137))))))
% 0.48/1.02  (assume @p287 (forall (@list @t50 @t48 @t160) (=> @t357 (= (_ @t356 @t389) (forall @t162 (=> @t631 @t161))))))
% 0.48/1.02  (assume @p288 (forall (@list @t43 @t41 @t148) (=> @t360 (= (_ @t359 @t391) (forall @t150 (=> @t632 @t149))))))
% 0.48/1.02  (assume @p289 (forall (@list @t57 @t55 @t134 @t136) (=> @t354 (=> (forall @t272 (=> @t276 (=> @t484 @t485))) (_ (_ tptp.ord_le1824328871od_a_a (_ tptp.collec645855634od_a_a (lambda @t138 (and @t630 @t135)))) @t386)))))
% 0.48/1.02  (assume @p290 (forall (@list @t50 @t48 @t158 @t160) (=> @t357 (=> (forall @t101 (=> @t257 (=> @t486 @t487))) (_ (_ tptp.ord_less_eq_set_nat (_ tptp.collect_nat (lambda @t162 (and @t631 @t159)))) @t389)))))
% 0.48/1.02  (assume @p291 (forall (@list @t43 @t41 @t146 @t148) (=> @t360 (=> (forall @t250 (=> @t249 (=> @t608 @t609))) (_ (_ tptp.ord_less_eq_set_a (_ tptp.collect_a (lambda @t150 (and @t632 @t147)))) @t391)))))
% 0.48/1.02  (assume @p292 (forall (@list @t633 @t136) (_ (_ tptp.ord_le1824328871od_a_a @t634) @t633)))
% 0.48/1.02  (assume @p293 (forall (@list @t635 @t160) (_ (_ tptp.ord_less_eq_set_nat @t636) @t635)))
% 0.48/1.02  (assume @p294 (forall (@list @t637 @t148) (_ (_ tptp.ord_less_eq_set_a @t638) @t637)))
% 0.48/1.02  (assume @p295 (forall (@list @t317 @t639 @t633 @t136) (=> (_ @t318 @t639) (=> (_ (_ tptp.ord_le1824328871od_a_a @t639) @t634) (_ @t136 @t317)))))
% 0.48/1.02  (assume @p296 (forall (@list @t322 @t641 @t635 @t160) (=> (_ @t323 @t641) (=> (_ (_ tptp.ord_less_eq_set_nat @t641) @t636) @t640))))
% 0.48/1.02  (assume @p297 (forall (@list @t334 @t642 @t637 @t148) (=> (_ @t335 @t642) (=> (_ (_ tptp.ord_less_eq_set_a @t642) @t638) (_ @t148 @t334)))))
% 0.48/1.02  (assume @p298 (forall (@list @t55 @t136 @t134) (= (_ @t60 @t139) (and (_ @t60 @t142) (_ @t60 @t140)))))
% 0.48/1.02  (assume @p299 (forall (@list @t48 @t160 @t158) (= (_ @t52 @t163) (and (_ @t52 @t166) (_ @t52 @t164)))))
% 0.48/1.02  (assume @p300 (forall (@list @t41 @t148 @t146) (= (_ @t45 @t151) (and (_ @t45 @t154) (_ @t45 @t152)))))
% 0.48/1.02  (assume @p301 (forall @t647 (= (_ tptp.pair_p133601421t_unit @t646) @t643)))
% 0.48/1.02  (assume @p302 (forall @t651 (= (_ tptp.pair_p715279805t_unit @t650) @t648)))
% 0.48/1.02  (assume @p303 (forall @t655 (= (_ tptp.pair_p1783210148t_unit @t654) @t652)))
% 0.48/1.02  (assume @p304 (forall @t647 (= (_ tptp.pair_p1047056820t_unit @t646) @t645)))
% 0.48/1.02  (assume @p305 (forall @t651 (= (_ tptp.pair_p1677060310t_unit @t650) @t649)))
% 0.48/1.02  (assume @p306 (forall @t655 (= (_ tptp.pair_p447552203t_unit @t654) @t653)))
% 0.48/1.02  (assume @p307 (forall @t27 (=> (_ tptp.pair_p68905728raph_a @t23) (=> @t24 @t30))))
% 0.48/1.02  (assume @p308 (forall @t22 (=> (_ tptp.pair_p1515597646ph_nat @t18) (=> @t19 @t28))))
% 0.48/1.02  (assume @p309 (forall @t17 (=> (_ tptp.pair_p646030121od_a_a @t13) (=> @t14 @t29))))
% 0.48/1.02  (assume @p310 (forall @t290 (= @t289 (or @t657 @t656 (and @t42 @t51)))))
% 0.48/1.02  (assume @p311 (forall @t293 (= @t292 (or @t659 @t658 (and @t49 @t44)))))
% 0.48/1.02  (assume @p312 (forall @t54 (= @t294 (or @t659 @t656 (and @t49 @t51)))))
% 0.48/1.03  (assume @p313 (forall @t47 (= @t296 (or @t657 @t658 (and @t42 @t44)))))
% 0.48/1.03  (assume @p314 (forall @t299 (= @t298 (or @t660 @t658 (and @t56 @t44)))))
% 0.48/1.03  (assume @p315 (forall @t301 (= @t300 (or @t660 @t656 (and @t56 @t51)))))
% 0.48/1.03  (assume @p316 (forall @t303 (= @t302 (or @t657 @t661 (and @t42 @t58)))))
% 0.48/1.03  (assume @p317 (forall @t305 (= @t304 (or @t657 @t662 (and @t42 @t34)))))
% 0.48/1.03  (assume @p318 (forall @t307 (= @t306 (or @t659 @t661 (and @t49 @t58)))))
% 0.48/1.03  (assume @p319 (forall @t309 (= @t308 (or @t659 @t662 (and @t49 @t34)))))
% 0.48/1.03  (assume @p320 (forall (@list @t622) (not (_ @t623 tptp.bot_bo2131659635od_a_a))))
% 0.48/1.03  (assume @p321 (forall (@list @t445) (not (_ @t624 tptp.bot_bot_set_nat))))
% 0.48/1.03  (assume @p322 (forall @t192 (= (forall @t138 (not @t385)) @t660)))
% 0.48/1.03  (assume @p323 (forall @t195 (= (forall @t162 (not @t388)) @t659)))
% 0.48/1.03  (assume @p324 (forall @t237 (= (= @t142 tptp.bot_bo2131659635od_a_a) @t663)))
% 0.48/1.03  (assume @p325 (forall @t240 (= (= @t166 tptp.bot_bot_set_nat) @t664)))
% 0.48/1.03  (assume @p326 (forall @t237 (= (= tptp.bot_bo2131659635od_a_a @t142) @t663)))
% 0.48/1.03  (assume @p327 (forall @t240 (= (= tptp.bot_bot_set_nat @t166) @t664)))
% 0.48/1.03  (assume @p328 (forall @t192 (_ (_ tptp.ord_le1824328871od_a_a tptp.bot_bo2131659635od_a_a) @t55)))
% 0.48/1.03  (assume @p329 (forall @t195 (_ (_ tptp.ord_less_eq_set_nat tptp.bot_bot_set_nat) @t48)))
% 0.48/1.03  (assume @p330 (forall @t198 (_ (_ tptp.ord_less_eq_set_a tptp.bot_bot_set_a) @t41)))
% 0.48/1.03  (assume @p331 (forall @t198 (= (_ @t45 tptp.bot_bot_set_a) @t657)))
% 0.48/1.03  (assume @p332 (and (_ tptp.finite_finite_a @t1) (= (_ tptp.finite_card_a @t1) tptp.n) (= @t6 (_ tptp.collec645855634od_a_a (_ tptp.produc1833107820_a_a_o (lambda (@list @t666 @t665) (and (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t666) @t665)) @t5) (not (= @t666 @t665)))))))))
% 0.48/1.03  (assume @p333 (forall (@list @t667) (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t669 (_ (_ tptp.ord_less_eq_nat @t668) @t667))))))
% 0.48/1.03  (assume @p334 (forall (@list @t72) (= @t73 (forall @t671 (exists @t669 (and (_ (_ tptp.ord_less_eq_nat @t670) @t668) (_ (_ tptp.member_nat @t668) @t72)))))))
% 0.48/1.03  (assume @p335 (forall (@list @t160 @t322 @t674) (=> @t640 (=> (forall @t101 (=> @t487 (_ @t93 @t674))) (not (forall (@list @t672) (=> (_ @t160 @t672) (not (forall (@list @t673) (=> (_ @t160 @t673) (_ (_ tptp.ord_less_eq_nat @t673) @t672)))))))))))
% 0.48/1.03  (assume @p336 (forall (@list @t520 @t675) (=> (forall (@list @t676) (_ (_ tptp.ord_less_eq_nat @t676) (_ @t520 @t676))) (_ tptp.finite_finite_nat (_ tptp.collect_nat (lambda @t669 (_ (_ tptp.ord_less_eq_nat (_ @t520 @t668)) @t675)))))))
% 0.48/1.03  (assume @p337 @t678)
% 0.48/1.03  (assume @p338 true)
% 0.48/1.03  (step @p339 (= tptp.pair_p56914274at_nat @t680) :rule refl :args (@t680))
% 0.48/1.03  (step @p340 (= tptp.pair_p1906342088od_a_a @t682) :rule refl :args (@t682))
% 0.48/1.03  (step @p341 (= tptp.pair_p504738056od_a_a @t685) :rule refl :args (@t685))
% 0.48/1.03  (step @p342 (= tptp.pair_p1027063983ms_nat @t688) :rule refl :args (@t688))
% 0.48/1.03  (step @p343 (= tptp.pair_p1864019935ioms_a @t691) :rule refl :args (@t691))
% 0.48/1.03  (step @p344 (= tptp.ord_le1824328871od_a_a @t693) :rule refl :args (@t693))
% 0.48/1.03  (step @p345 (= tptp.ord_less_eq_set_nat @t694) :rule refl :args (@t694))
% 0.48/1.03  (step @p346 (= tptp.ord_less_eq_set_a @t695) :rule refl :args (@t695))
% 0.48/1.03  (step @p347 (= tptp.product_product_a_a @t696) :rule refl :args (@t696))
% 0.48/1.03  (step @p348 (= tptp.finite361944167at_nat @t699) :rule refl :args (@t699))
% 0.48/1.03  (step @p349 (= tptp.finite702915405od_a_a @t702) :rule refl :args (@t702))
% 0.48/1.03  (step @p350 (= tptp.finite351630733od_a_a @t704) :rule refl :args (@t704))
% 0.48/1.03  (step @p351 (= tptp.finite_Fpow_nat @t706) :rule refl :args (@t706))
% 0.48/1.03  (step @p352 (= tptp.finite_Fpow_a @t708) :rule refl :args (@t708))
% 0.48/1.03  (step @p353 (= tptp.pair_p1802376898raph_a @t709) :rule refl :args (@t709))
% 0.48/1.03  (step @p354 (= tptp.pair_p128415500ph_nat @t710) :rule refl :args (@t710))
% 0.48/1.03  (step @p355 (= tptp.pair_p374947051od_a_a @t711) :rule refl :args (@t711))
% 0.48/1.03  (step @p356 (= tptp.finite_finite_nat @t713) :rule refl :args (@t713))
% 0.48/1.03  (step @p357 :rule eq-symm :args (@t718 @t715))
% 0.48/1.03  (step @p358 :rule beta-reduce :args ((= @t719 @t715)))
% 0.48/1.03  (step @p359 :rule refl :args (@t718))
% 0.48/1.03  (step @p360 :rule cong :premises (@p359 @p358) :args (@t720))
% 0.48/1.03  (step @p361 :rule trans :premises (@p360 @p357))
% 0.48/1.03  (step @p362 :rule cong :premises (@p361) :args (@t721))
% 0.48/1.03  (step @p363 :rule quant-unused-vars :args ((= (forall @t138 true) true)))
% 0.48/1.03  (step @p364 :rule eq-refl :args (@t719))
% 0.48/1.03  (step @p365 :rule cong :premises (@p364) :args ((forall @t138 (= @t719 @t719))))
% 0.48/1.03  (step @p366 :rule trans :premises (@p365 @p363))
% 0.48/1.03  (step @p367 :rule refl :args (@t719))
% 0.48/1.03  (step @p368 :rule refl :args (@t133))
% 0.48/1.03  (step @p369 :rule skolem_intro :args (@t717))
% 0.48/1.03  (step @p370 :rule ho_cong :premises (@p369 @p368))
% 0.48/1.03  (step @p371 :rule cong :premises (@p370 @p367) :args (@t720))
% 0.48/1.03  (step @p372 :rule cong :premises (@p371) :args (@t721))
% 0.48/1.03  (step @p373 :rule trans :premises (@p372 @p366))
% 0.48/1.03  (step @p374 :rule true_elim :premises (@p373))
% 0.48/1.03  (step @p375 :rule eq_resolve :premises (@p374 @p362))
% 0.48/1.03  (step @p376 :rule eq-symm :args (@t723 @t724))
% 0.48/1.03  (step @p377 :rule refl :args (@t725))
% 0.48/1.03  (step @p378 :rule cong :premises (@p377 @p376) :args ((=> @t725 @t726)))
% 0.48/1.03  (assume-push @p859 @t725)
% 0.48/1.03  (step @p380 :rule instantiate :premises (@p375) :args (@t727))
% 0.48/1.03  (step-pop @p860 :rule scope :premises (@p380))
% 0.48/1.03  (step @p381 :rule process_scope :premises (@p860) :args (@t726))
% 0.48/1.03  (step @p383 :rule eq_resolve :premises (@p381 @p378))
% 0.48/1.03  (step @p384 :rule implies_elim :premises (@p383))
% 0.48/1.03  (step @p385 :rule chain_m_resolution :premises (@p384 @p375) :args (@t728 @t729 (@list @t725)))
% 0.48/1.03  (step @p386 :rule skolem_intro :args (@t731))
% 0.48/1.03  (step @p387 :rule symm :premises (@p386))
% 0.48/1.03  (step @p388 :rule eq-symm :args (@t730 @t732))
% 0.48/1.03  (step @p389 :rule refl :args (@t732))
% 0.48/1.03  (step @p390 :rule refl :args (@t730))
% 0.48/1.03  (step @p391 :rule refl :args (@t1))
% 0.48/1.03  (step @p392 :rule cong :premises (@p391 @p390) :args ((= @t1 @t730)))
% 0.48/1.03  (step @p393 :rule symm :premises (@p392))
% 0.48/1.03  (step @p394 :rule eq_resolve :premises (@p391 @p393))
% 0.48/1.03  (step @p395 :rule cong :premises (@p394 @p389) :args ((= @t1 @t732)))
% 0.48/1.03  (step @p396 :rule trans :premises (@p395 @p388))
% 0.48/1.03  (step @p397 :rule eq-symm :args (@t732 @t1))
% 0.48/1.03  (step @p398 :rule trans :premises (@p397 @p396))
% 0.48/1.03  (step @p399 :rule skolem_intro :args (@t732))
% 0.48/1.03  (step @p400 :rule eq_resolve :premises (@p399 @p398))
% 0.48/1.03  (step @p401 :rule trans :premises (@p400 @p387))
% 0.48/1.03  (step @p402 :rule eq-refl :args (@t730))
% 0.48/1.03  (step @p403 :rule beta-reduce :args ((= @t735 @t730)))
% 0.48/1.03  (step @p404 :rule refl :args (@t730))
% 0.48/1.03  (step @p405 :rule cong :premises (@p404 @p403) :args ((= @t730 @t735)))
% 0.48/1.03  (step @p406 :rule trans :premises (@p405 @p402))
% 0.48/1.03  (step @p407 :rule refl :args (@t733))
% 0.48/1.03  (step @p408 :rule cong :premises (@p386) :args (@t736))
% 0.48/1.03  (step @p409 :rule skolem_intro :args (@t737))
% 0.48/1.03  (step @p410 :rule trans :premises (@p409 @p408))
% 0.48/1.03  (step @p411 :rule ho_cong :premises (@p410 @p407))
% 0.48/1.03  (step @p412 :rule cong :premises (@p386 @p411) :args ((= @t731 @t738)))
% 0.48/1.03  (step @p413 :rule eq-symm :args (@t738 @t731))
% 0.48/1.03  (step @p414 :rule trans :premises (@p413 @p412 @p406))
% 0.48/1.03  (step @p415 :rule true_elim :premises (@p414))
% 0.48/1.03  (step @p416 :rule eq-refl :args (@t1))
% 0.48/1.03  (step @p417 :rule beta-reduce :args ((= @t739 @t1)))
% 0.48/1.03  (step @p418 :rule refl :args (@t1))
% 0.48/1.03  (step @p419 :rule cong :premises (@p418 @p417) :args ((= @t1 @t739)))
% 0.48/1.03  (step @p420 :rule trans :premises (@p419 @p416))
% 0.48/1.03  (step @p421 :rule cong :premises (@p399) :args (@t740))
% 0.48/1.03  (step @p422 :rule skolem_intro :args (@t741))
% 0.48/1.03  (step @p423 :rule trans :premises (@p422 @p421))
% 0.48/1.03  (step @p424 :rule ho_cong :premises (@p423 @p407))
% 0.48/1.03  (step @p425 :rule cong :premises (@p399 @p424) :args ((= @t732 @t742)))
% 0.48/1.03  (step @p426 :rule eq-symm :args (@t742 @t732))
% 0.48/1.03  (step @p427 :rule trans :premises (@p426 @p425 @p420))
% 0.48/1.03  (step @p428 :rule true_elim :premises (@p427))
% 0.48/1.03  (step @p429 :rule cong :premises (@p428 @p415) :args (@t743))
% 0.48/1.03  (step @p430 :rule cong :premises (@p429) :args (@t744))
% 0.48/1.03  (step @p431 :rule refl :args (@t745))
% 0.48/1.03  (step @p432 :rule nary_cong :premises (@p431 @p430) :args (@t746))
% 0.48/1.03  ; WARNING: add trust step for TRUST
% 0.48/1.03  ; trust TRUST THEORY_LEMMA
% 0.48/1.03  (step @p433 :rule trust :premises () :args (@t746))
% 0.48/1.03  (step @p434 :rule eq_resolve :premises (@p433 @p432))
% 0.48/1.03  (step @p435 :rule chain_m_resolution :premises (@p434 @p401) :args (@t745 @t729 (@list (= @t732 @t731))))
% 0.48/1.03  (step @p436 :rule cnf_equiv_neg2 :args (@t757))
% 0.48/1.03  (step @p437 :rule eq-symm :args (@t759 @t760))
% 0.48/1.03  (step @p438 :rule cong :premises (@p437) :args ((forall @t138 (= @t759 @t760))))
% 0.48/1.03  (step @p439 :rule refl :args (@t760))
% 0.48/1.03  (step @p440 :rule refl :args ((tptp.member449909584od_a_a @t133 @t5)))
% 0.48/1.03  (step @p441 :rule refl :args ((tptp.product_Sigma_a_a @t1 @t3)))
% 0.48/1.03  (step @p442 :rule cong :premises (@p390) :args (@t734))
% 0.48/1.03  (step @p443 :rule cong :premises (@p390 @p442) :args (@t758))
% 0.48/1.03  (step @p444 :rule trans :premises (@p443 @p441))
% 0.48/1.03  (step @p445 :rule refl :args (@t133))
% 0.48/1.03  (step @p446 :rule cong :premises (@p445 @p444) :args (@t759))
% 0.48/1.03  (step @p447 :rule trans :premises (@p446 @p440))
% 0.48/1.03  (step @p448 :rule refl :args (@t384))
% 0.48/1.03  (step @p449 :rule ho_cong :premises (@p448 @p444))
% 0.48/1.03  (step @p450 :rule cong :premises (@p449 @p447) :args ((= (_ @t384 @t758) @t759)))
% 0.48/1.03  (step @p451 :rule symm :premises (@p450))
% 0.48/1.03  (step @p452 :rule refl :args (@t753))
% 0.48/1.03  (step @p453 :rule eq_resolve :premises (@p452 @p451))
% 0.48/1.03  (step @p454 :rule refl :args (tptp.product_Sigma_a_a))
% 0.48/1.03  (step @p455 :rule ho_cong :premises (@p454 @p390))
% 0.48/1.03  (step @p456 :rule ho_cong :premises (@p455 @p442))
% 0.48/1.03  (step @p457 :rule cong :premises (@p456 @p444) :args ((= (_ @t761 @t734) @t758)))
% 0.48/1.03  (step @p458 :rule symm :premises (@p457))
% 0.48/1.03  (step @p459 :rule refl :args (@t5))
% 0.48/1.03  (step @p460 :rule eq_resolve :premises (@p459 @p458))
% 0.48/1.03  (step @p461 :rule eq_resolve :premises (@p391 @p393))
% 0.48/1.03  (step @p462 :rule cong :premises (@p461) :args (@t3))
% 0.48/1.03  (step @p463 :rule ho_cong :premises (@p454 @p461))
% 0.48/1.03  (step @p464 :rule ho_cong :premises (@p463 @p462))
% 0.48/1.03  (step @p465 :rule trans :premises (@p464 @p460))
% 0.48/1.03  (step @p466 :rule ho_cong :premises (@p448 @p465))
% 0.48/1.03  (step @p467 :rule trans :premises (@p466 @p453))
% 0.48/1.03  (step @p468 :rule cong :premises (@p467 @p439) :args (@t762))
% 0.48/1.03  (step @p469 :rule cong :premises (@p468) :args ((forall @t138 @t762)))
% 0.48/1.03  (step @p470 :rule trans :premises (@p469 @p438))
% 0.48/1.03  (step @p471 :rule eq-symm :args (@t760 @t753))
% 0.48/1.03  (step @p472 :rule beta-reduce :args ((= @t763 @t753)))
% 0.48/1.03  (step @p473 :rule refl :args (@t760))
% 0.48/1.03  (step @p474 :rule cong :premises (@p473 @p472) :args (@t764))
% 0.48/1.03  (step @p475 :rule trans :premises (@p474 @p471))
% 0.48/1.03  (step @p476 :rule cong :premises (@p475) :args (@t765))
% 0.48/1.03  (step @p477 :rule trans :premises (@p476 @p470))
% 0.48/1.03  (step @p478 :rule eq-refl :args (@t763))
% 0.48/1.03  (step @p479 :rule cong :premises (@p478) :args ((forall @t138 (= @t763 @t763))))
% 0.48/1.03  (step @p480 :rule trans :premises (@p479 @p363))
% 0.48/1.03  (step @p481 :rule refl :args (@t763))
% 0.48/1.03  (step @p482 :rule skolem_intro :args (@t755))
% 0.48/1.03  (step @p483 :rule ho_cong :premises (@p482 @p368))
% 0.48/1.03  (step @p484 :rule cong :premises (@p483 @p481) :args (@t764))
% 0.48/1.03  (step @p485 :rule cong :premises (@p484) :args (@t765))
% 0.48/1.03  (step @p486 :rule trans :premises (@p485 @p480))
% 0.48/1.03  (step @p487 :rule true_elim :premises (@p486))
% 0.48/1.03  (step @p488 :rule eq_resolve :premises (@p487 @p477))
% 0.48/1.03  (step @p489 :rule eq-refl :args (@t734))
% 0.48/1.03  (step @p490 :rule refl :args (@t734))
% 0.48/1.03  (step @p491 :rule cong :premises (@p490 @p410) :args ((= @t734 @t737)))
% 0.48/1.03  (step @p492 :rule trans :premises (@p491 @p489))
% 0.48/1.03  (step @p493 :rule true_elim :premises (@p492))
% 0.48/1.03  (step @p494 :rule cong :premises (@p404 @p493) :args (@t758))
% 0.48/1.03  (step @p495 :rule refl :args (@t747))
% 0.48/1.03  (step @p496 :rule cong :premises (@p495 @p494) :args (@t766))
% 0.48/1.03  (step @p497 :rule refl :args (@t756))
% 0.48/1.03  (step @p498 :rule cong :premises (@p497 @p496) :args (@t767))
% 0.48/1.03  (step @p499 :rule refl :args (@t768))
% 0.48/1.03  (step @p500 :rule cong :premises (@p499 @p498) :args ((=> @t768 @t767)))
% 0.48/1.03  (assume-push @p861 @t768)
% 0.48/1.03  (step @p502 :rule instantiate :premises (@p488) :args (@t769))
% 0.48/1.03  (step-pop @p862 :rule scope :premises (@p502))
% 0.48/1.03  (step @p503 :rule process_scope :premises (@p862) :args (@t767))
% 0.48/1.03  (step @p505 :rule eq_resolve :premises (@p503 @p500))
% 0.48/1.03  (step @p506 :rule implies_elim :premises (@p505))
% 0.48/1.03  (step @p507 :rule chain_m_resolution :premises (@p506 @p488) :args (@t771 @t729 (@list @t768)))
% 0.48/1.03  (step @p508 :rule cnf_equiv_pos1 :args (@t771))
% 0.48/1.03  (step @p509 :rule reordering :premises (@p508) :args ((or @t773 @t770 @t772)))
% 0.48/1.03  (step @p510 :rule eq-symm :args (@t774 @t749))
% 0.48/1.03  (step @p511 :rule beta-reduce :args ((= @t775 @t749)))
% 0.48/1.03  (step @p512 :rule refl :args (@t774))
% 0.48/1.03  (step @p513 :rule cong :premises (@p512 @p511) :args (@t776))
% 0.48/1.03  (step @p514 :rule trans :premises (@p513 @p510))
% 0.48/1.03  (step @p515 :rule cong :premises (@p514) :args (@t777))
% 0.48/1.03  (step @p516 :rule eq-refl :args (@t775))
% 0.48/1.03  (step @p517 :rule cong :premises (@p516) :args ((forall @t138 (= @t775 @t775))))
% 0.48/1.03  (step @p518 :rule trans :premises (@p517 @p363))
% 0.48/1.03  (step @p519 :rule refl :args (@t775))
% 0.48/1.03  (step @p520 :rule skolem_intro :args (@t751))
% 0.48/1.03  (step @p521 :rule ho_cong :premises (@p520 @p368))
% 0.48/1.03  (step @p522 :rule cong :premises (@p521 @p519) :args (@t776))
% 0.48/1.03  (step @p523 :rule cong :premises (@p522) :args (@t777))
% 0.48/1.03  (step @p524 :rule trans :premises (@p523 @p518))
% 0.48/1.03  (step @p525 :rule true_elim :premises (@p524))
% 0.48/1.03  (step @p526 :rule eq_resolve :premises (@p525 @p515))
% 0.48/1.03  (step @p527 :rule eq-symm :args (@t778 @t752))
% 0.48/1.03  (step @p528 :rule refl :args (@t779))
% 0.48/1.03  (step @p529 :rule cong :premises (@p528 @p527) :args ((=> @t779 @t780)))
% 0.48/1.03  (assume-push @p863 @t779)
% 0.48/1.03  (step @p531 :rule instantiate :premises (@p526) :args (@t769))
% 0.48/1.03  (step-pop @p864 :rule scope :premises (@p531))
% 0.48/1.03  (step @p532 :rule process_scope :premises (@p864) :args (@t780))
% 0.48/1.03  (step @p534 :rule eq_resolve :premises (@p532 @p529))
% 0.48/1.03  (step @p535 :rule implies_elim :premises (@p534))
% 0.48/1.03  (step @p536 :rule chain_m_resolution :premises (@p535 @p526) :args (@t781 @t729 (@list @t779)))
% 0.48/1.03  (step @p537 :rule cnf_equiv_pos2 :args (@t781))
% 0.48/1.03  (step @p538 :rule reordering :premises (@p537) :args ((or @t752 @t783 @t782)))
% 0.48/1.03  (assume-push @p865 @t745)
% 0.48/1.03  (assume-push @p866 @t770)
% 0.48/1.03  (assume-push @p867 @t770)
% 0.48/1.03  (assume-push @p868 @t745)
% 0.48/1.03  (step @p543 :rule true_intro :premises (@p866))
% 0.48/1.03  (step @p544 :rule cong :premises (@p404 @p435) :args (@t748))
% 0.48/1.03  (step @p545 :rule cong :premises (@p495 @p544) :args (@t778))
% 0.48/1.03  (step @p546 :rule trans :premises (@p545 @p543))
% 0.48/1.03  (step @p547 :rule true_elim :premises (@p546))
% 0.48/1.03  (step-pop @p869 :rule scope :premises (@p547))
% 0.48/1.03  (step-pop @p870 :rule scope :premises (@p869))
% 0.48/1.03  (step @p548 :rule process_scope :premises (@p870) :args (@t778))
% 0.48/1.03  (step @p551 :rule and_intro :premises (@p866 @p435))
% 0.48/1.03  (step @p552 :rule modus_ponens :premises (@p551 @p548))
% 0.48/1.03  (step-pop @p871 :rule scope :premises (@p552))
% 0.48/1.03  (step-pop @p872 :rule scope :premises (@p871))
% 0.48/1.03  (step @p553 :rule process_scope :premises (@p872) :args (@t778))
% 0.48/1.03  (step @p556 :rule implies_elim :premises (@p553))
% 0.48/1.03  (step @p557 :rule cnf_and_neg :args (@t784))
% 0.48/1.03  (step @p558 :rule resolution :premises (@p557 @p556) :args (true @t784))
% 0.48/1.03  (step @p559 :rule reordering :premises (@p558) :args ((or @t786 @t778 @t785)))
% 0.48/1.03  (step @p560 :rule chain_m_resolution :premises (@p559 @p538 @p536 @p509 @p507 @p436) :args ((or @t786 @t757 @t773) (@list true false false false true) (@list @t778 @t781 @t770 @t771 @t752)))
% 0.48/1.03  (step @p561 :rule cnf_equiv_neg1 :args (@t757))
% 0.48/1.03  (step @p562 :rule reordering :premises (@p561) :args ((or @t756 @t752 @t757)))
% 0.48/1.03  (step @p563 :rule cnf_equiv_pos2 :args (@t771))
% 0.48/1.03  (step @p564 :rule reordering :premises (@p563) :args ((or @t756 @t785 @t772)))
% 0.48/1.03  (step @p565 :rule cnf_equiv_pos1 :args (@t781))
% 0.48/1.03  (step @p566 :rule reordering :premises (@p565) :args ((or (not @t752) @t778 @t782)))
% 0.48/1.03  (step @p567 :rule refl :args (@t783))
% 0.48/1.03  (step @p568 :rule bool-double-not-elim :args (@t770))
% 0.48/1.03  (step @p569 :rule refl :args (@t786))
% 0.48/1.03  (step @p570 :rule nary_cong :premises (@p569 @p568 @p567) :args ((or @t786 (not @t785) @t783)))
% 0.48/1.03  (assume-push @p873 @t745)
% 0.48/1.03  (assume-push @p874 @t785)
% 0.48/1.03  (assume-push @p875 @t785)
% 0.48/1.03  (assume-push @p876 @t745)
% 0.48/1.03  (step @p575 :rule false_intro :premises (@p874))
% 0.48/1.03  (step @p544 :rule cong :premises (@p404 @p435) :args (@t748))
% 0.48/1.03  (step @p545 :rule cong :premises (@p495 @p544) :args (@t778))
% 0.48/1.03  (step @p576 :rule trans :premises (@p545 @p575))
% 0.48/1.03  (step @p577 :rule false_elim :premises (@p576))
% 0.48/1.03  (step-pop @p877 :rule scope :premises (@p577))
% 0.48/1.03  (step-pop @p878 :rule scope :premises (@p877))
% 0.48/1.03  (step @p578 :rule process_scope :premises (@p878) :args (@t783))
% 0.48/1.03  (step @p581 :rule and_intro :premises (@p874 @p435))
% 0.48/1.03  (step @p582 :rule modus_ponens :premises (@p581 @p578))
% 0.48/1.03  (step-pop @p879 :rule scope :premises (@p582))
% 0.48/1.03  (step-pop @p880 :rule scope :premises (@p879))
% 0.48/1.03  (step @p583 :rule process_scope :premises (@p880) :args (@t783))
% 0.48/1.03  (step @p586 :rule implies_elim :premises (@p583))
% 0.48/1.03  (step @p587 :rule cnf_and_neg :args (@t787))
% 0.48/1.03  (step @p588 :rule resolution :premises (@p587 @p586) :args (true @t787))
% 0.48/1.03  (step @p589 :rule eq_resolve :premises (@p588 @p570))
% 0.48/1.03  (step @p590 :rule chain_m_resolution :premises (@p589 @p566 @p536 @p564 @p507 @p562 @p560) :args ((or @t786 @t757) (@list false false true false false true) (@list @t778 @t781 @t770 @t771 @t752 @t756)))
% 0.48/1.03  (step @p591 :rule chain_m_resolution :premises (@p590 @p435) :args (@t757 @t729 (@list @t745)))
% 0.48/1.03  ; trust TRUST THEORY_LEMMA
% 0.48/1.03  (step @p592 :rule trust :premises () :args ((or @t788 (not @t757))))
% 0.48/1.03  (step @p593 :rule chain_m_resolution :premises (@p592 @p591) :args (@t788 @t729 (@list @t757)))
% 0.48/1.03  (step @p594 :rule refl :args (@t789))
% 0.48/1.03  (step @p595 :rule refl :args (@t56))
% 0.48/1.03  (step @p596 :rule cong :premises (@p595 @p594) :args ((= @t56 @t789)))
% 0.48/1.03  (step @p597 :rule symm :premises (@p596))
% 0.48/1.03  (step @p598 :rule eq_resolve :premises (@p595 @p597))
% 0.48/1.03  (step @p599 :rule refl :args (@t790))
% 0.48/1.03  (step @p600 :rule refl :args (@t58))
% 0.48/1.03  (step @p601 :rule cong :premises (@p600 @p599) :args ((= @t58 @t790)))
% 0.48/1.03  (step @p602 :rule symm :premises (@p601))
% 0.48/1.03  (step @p603 :rule eq_resolve :premises (@p600 @p602))
% 0.48/1.03  (step @p604 :rule cong :premises (@p603) :args (@t312))
% 0.48/1.03  (step @p605 :rule refl :args ((tptp.ord_le1347718902_a_a_o @t483 @t791)))
% 0.48/1.03  (step @p606 :rule refl :args (@t792))
% 0.48/1.03  (step @p607 :rule cong :premises (@p606) :args (@t793))
% 0.48/1.03  (step @p608 :rule refl :args (@t794))
% 0.48/1.03  (step @p609 :rule cong :premises (@p608) :args (@t795))
% 0.48/1.03  (step @p610 :rule cong :premises (@p609 @p607) :args (@t796))
% 0.48/1.03  (step @p611 :rule trans :premises (@p610 @p605))
% 0.48/1.03  (step @p612 :rule refl :args (tptp.ord_le1347718902_a_a_o))
% 0.48/1.03  (step @p613 :rule ho_cong :premises (@p612 @p609))
% 0.48/1.03  (step @p614 :rule ho_cong :premises (@p613 @p607))
% 0.48/1.03  (step @p615 :rule cong :premises (@p614 @p611) :args ((= (_ (_ tptp.ord_le1347718902_a_a_o @t795) @t793) @t796)))
% 0.48/1.03  (step @p616 :rule symm :premises (@p615))
% 0.48/1.03  (step @p617 :rule refl :args (@t798))
% 0.48/1.03  (step @p618 :rule eq_resolve :premises (@p617 @p616))
% 0.48/1.03  (step @p619 :rule refl :args (@t630))
% 0.48/1.03  (step @p620 :rule cong :premises (@p619 @p606) :args ((= @t630 @t792)))
% 0.48/1.03  (step @p621 :rule symm :premises (@p620))
% 0.48/1.03  (step @p622 :rule eq_resolve :premises (@p619 @p621))
% 0.48/1.03  (step @p623 :rule cong :premises (@p622) :args (@t791))
% 0.48/1.03  (step @p624 :rule refl :args (@t385))
% 0.48/1.03  (step @p625 :rule cong :premises (@p624 @p608) :args ((= @t385 @t794)))
% 0.48/1.03  (step @p626 :rule symm :premises (@p625))
% 0.48/1.03  (step @p627 :rule eq_resolve :premises (@p624 @p626))
% 0.48/1.03  (step @p628 :rule cong :premises (@p627) :args (@t483))
% 0.48/1.03  (step @p629 :rule ho_cong :premises (@p612 @p628))
% 0.48/1.03  (step @p630 :rule ho_cong :premises (@p629 @p623))
% 0.48/1.03  (step @p631 :rule trans :premises (@p630 @p618))
% 0.48/1.03  (step @p632 :rule cong :premises (@p631) :args (@t799))
% 0.48/1.03  (step @p633 :rule nary_cong :premises (@p632 @p604 @p598) :args (@t800))
% 0.48/1.03  (step @p634 :rule cong :premises (@p633) :args ((forall @t63 @t800)))
% 0.48/1.03  (step @p635 :rule aci_norm :args ((= (or @t799 (or @t312 @t56)) @t800)))
% 0.48/1.03  (step @p636 :rule bool-impl-elim :args (@t58 @t56))
% 0.48/1.03  (step @p637 :rule refl :args (@t799))
% 0.48/1.03  (step @p638 :rule nary_cong :premises (@p637 @p636) :args ((or @t799 @t59)))
% 0.48/1.03  (step @p639 :rule trans :premises (@p638 @p635))
% 0.48/1.03  (step @p640 :rule bool-impl-elim :args (@t798 @t59))
% 0.48/1.03  (step @p641 :rule trans :premises (@p640 @p639))
% 0.48/1.03  (step @p642 :rule cong :premises (@p641) :args ((forall @t63 (=> @t798 @t59))))
% 0.48/1.03  (step @p643 :rule trans :premises (@p642 @p634))
% 0.48/1.03  (step @p644 :rule refl :args (@t59))
% 0.48/1.03  (step @p645 :rule beta-reduce :args ((= (_ @t801 @t57) @t798)))
% 0.48/1.03  (step @p646 :rule refl :args (@t57))
% 0.48/1.03  (step @p647 :rule beta-reduce :args ((= @t802 @t801)))
% 0.48/1.03  (step @p648 :rule ho_cong :premises (@p647 @p646))
% 0.48/1.03  (step @p649 :rule trans :premises (@p648 @p645))
% 0.48/1.03  (step @p650 :rule cong :premises (@p649 @p644) :args (@t803))
% 0.48/1.03  (step @p651 :rule cong :premises (@p650) :args ((forall @t63 @t803)))
% 0.48/1.03  (step @p652 :rule trans :premises (@p651 @p643))
% 0.48/1.03  (step @p653 :rule refl :args (@t55))
% 0.48/1.03  (step @p654 :rule ho_cong :premises (@p344 @p653))
% 0.48/1.03  (step @p655 :rule ho_cong :premises (@p654 @p646))
% 0.48/1.03  (step @p656 :rule cong :premises (@p655 @p644) :args (@t62))
% 0.48/1.03  (step @p657 :rule cong :premises (@p656) :args (@t64))
% 0.48/1.03  (step @p658 :rule trans :premises (@p657 @p652))
% 0.48/1.03  (step @p659 :rule eq_resolve :premises (@p15 @p658))
% 0.48/1.03  (step @p660 :rule refl :args (@t804))
% 0.48/1.03  (step @p661 :rule refl :args (@t806))
% 0.48/1.03  (step @p662 :rule eq-refl :args ((lambda @t138 (tptp.member449909584od_a_a @t133 (tptp.product_Sigma_a_a @t730 @t3)))))
% 0.48/1.03  (step @p663 :rule cong :premises (@p404 @p423) :args (@t748))
% 0.48/1.03  (step @p664 :rule cong :premises (@p368 @p663) :args (@t749))
% 0.48/1.03  (step @p665 :rule cong :premises (@p664) :args (@t750))
% 0.48/1.03  (step @p666 :rule trans :premises (@p520 @p665))
% 0.48/1.03  (step @p667 :rule cong :premises (@p665 @p666) :args ((= @t750 @t751)))
% 0.48/1.03  (step @p668 :rule trans :premises (@p667 @p662))
% 0.48/1.03  (step @p669 :rule true_elim :premises (@p668))
% 0.48/1.03  (step @p670 :rule eq-refl :args (@t716))
% 0.48/1.03  (step @p671 :rule refl :args (@t716))
% 0.48/1.03  (step @p672 :rule cong :premises (@p671 @p369) :args ((= @t716 @t717)))
% 0.48/1.03  (step @p673 :rule trans :premises (@p672 @p670))
% 0.48/1.03  (step @p674 :rule true_elim :premises (@p673))
% 0.48/1.03  (step @p675 :rule cong :premises (@p674 @p669) :args (@t807))
% 0.48/1.03  (step @p676 :rule cong :premises (@p675) :args (@t808))
% 0.48/1.03  (step @p677 :rule nary_cong :premises (@p676 @p661 @p660) :args (@t809))
% 0.48/1.03  (step @p678 :rule refl :args (@t810))
% 0.48/1.03  (step @p679 :rule cong :premises (@p678 @p677) :args ((=> @t810 @t809)))
% 0.48/1.03  (assume-push @p881 @t810)
% 0.48/1.03  (step @p681 :rule instantiate :premises (@p659) :args ((@list @t714 @t748)))
% 0.48/1.03  (step-pop @p882 :rule scope :premises (@p681))
% 0.48/1.03  (step @p682 :rule process_scope :premises (@p882) :args (@t809))
% 0.48/1.03  (step @p684 :rule eq_resolve :premises (@p682 @p679))
% 0.48/1.03  (step @p685 :rule implies_elim :premises (@p684))
% 0.48/1.03  (step @p686 :rule chain_m_resolution :premises (@p685 @p659) :args (@t813 @t729 (@list @t810)))
% 0.48/1.03  (step @p687 :rule refl :args ((tptp.finite179568208od_a_a @t814)))
% 0.48/1.03  (step @p688 :rule refl :args ((tptp.product_Sigma_a_a @t1 @t741)))
% 0.48/1.03  (step @p689 :rule refl :args (@t741))
% 0.48/1.03  (step @p690 :rule cong :premises (@p390 @p689) :args (@t748))
% 0.48/1.03  (step @p691 :rule trans :premises (@p690 @p688))
% 0.48/1.03  (step @p692 :rule cong :premises (@p691) :args (@t805))
% 0.48/1.03  (step @p693 :rule trans :premises (@p692 @p687))
% 0.48/1.03  (step @p694 :rule refl :args (tptp.finite179568208od_a_a))
% 0.48/1.03  (step @p695 :rule ho_cong :premises (@p694 @p691))
% 0.48/1.03  (step @p696 :rule cong :premises (@p695 @p693) :args ((= (_ tptp.finite179568208od_a_a @t748) @t805)))
% 0.48/1.03  (step @p697 :rule symm :premises (@p696))
% 0.48/1.03  (step @p698 :rule refl :args ((_ tptp.finite179568208od_a_a @t814)))
% 0.48/1.03  (step @p699 :rule eq_resolve :premises (@p698 @p697))
% 0.48/1.03  (step @p700 :rule ho_cong :premises (@p455 @p689))
% 0.48/1.03  (step @p701 :rule cong :premises (@p700 @p691) :args ((= (_ @t761 @t741) @t748)))
% 0.48/1.03  (step @p702 :rule symm :premises (@p701))
% 0.48/1.03  (step @p703 :rule refl :args (@t814))
% 0.48/1.03  (step @p704 :rule eq_resolve :premises (@p703 @p702))
% 0.48/1.03  (step @p705 :rule eq-refl :args (@t3))
% 0.48/1.03  (step @p706 :rule refl :args (@t3))
% 0.48/1.03  (step @p707 :rule cong :premises (@p706 @p423) :args ((= @t3 @t741)))
% 0.48/1.03  (step @p708 :rule trans :premises (@p707 @p705))
% 0.48/1.03  (step @p709 :rule true_elim :premises (@p708))
% 0.48/1.03  (step @p710 :rule refl :args (tptp.product_Sigma_a_a))
% 0.48/1.03  (step @p711 :rule ho_cong :premises (@p710 @p394))
% 0.48/1.03  (step @p712 :rule ho_cong :premises (@p711 @p709))
% 0.48/1.03  (step @p713 :rule trans :premises (@p712 @p704))
% 0.48/1.03  (step @p714 :rule refl :args (tptp.finite179568208od_a_a))
% 0.48/1.03  (step @p715 :rule ho_cong :premises (@p714 @p713))
% 0.48/1.03  (step @p716 :rule trans :premises (@p715 @p699))
% 0.48/1.03  (step @p717 :rule eq_resolve :premises (@p1 @p716))
% 0.48/1.03  (step @p718 :rule refl :args ((tptp.finite179568208od_a_a @t6)))
% 0.48/1.03  (step @p719 :rule refl :args (@t714))
% 0.48/1.03  (step @p720 :rule cong :premises (@p719) :args (@t804))
% 0.48/1.03  (step @p721 :rule trans :premises (@p720 @p718))
% 0.48/1.03  (step @p722 :rule ho_cong :premises (@p694 @p719))
% 0.48/1.03  (step @p723 :rule cong :premises (@p722 @p721) :args ((= (_ tptp.finite179568208od_a_a @t714) @t804)))
% 0.48/1.03  (step @p724 :rule symm :premises (@p723))
% 0.48/1.03  (step @p725 :rule refl :args (@t677))
% 0.48/1.03  (step @p726 :rule eq_resolve :premises (@p725 @p724))
% 0.48/1.03  (step @p727 :rule refl :args (@t6))
% 0.48/1.03  (step @p728 :rule cong :premises (@p727 @p719) :args ((= @t6 @t714)))
% 0.48/1.03  (step @p729 :rule symm :premises (@p728))
% 0.48/1.03  (step @p730 :rule eq_resolve :premises (@p727 @p729))
% 0.48/1.03  (step @p731 :rule ho_cong :premises (@p714 @p730))
% 0.48/1.03  (step @p732 :rule trans :premises (@p731 @p726))
% 0.48/1.03  (step @p733 :rule cong :premises (@p732) :args (@t678))
% 0.48/1.03  (step @p734 :rule eq_resolve :premises (@p337 @p733))
% 0.48/1.03  (step @p735 :rule cnf_or_pos :args (@t813))
% 0.48/1.03  (step @p736 :rule reordering :premises (@p735) :args ((or @t804 @t806 @t812 (not @t813))))
% 0.48/1.03  (step @p737 :rule chain_m_resolution :premises (@p736 @p734 @p717 @p686) :args (@t812 @t815 (@list @t804 @t805 @t813)))
% 0.48/1.03  (step @p738 :rule refl :args (@t819))
% 0.48/1.03  (step @p739 :rule refl :args (@t820))
% 0.48/1.03  (step @p740 :rule cong :premises (@p739 @p738) :args ((= @t820 @t819)))
% 0.48/1.03  (step @p741 :rule symm :premises (@p740))
% 0.48/1.03  (step @p742 :rule eq_resolve :premises (@p739 @p741))
% 0.48/1.03  (step @p743 :rule eq-refl :args (@t754))
% 0.48/1.03  (step @p744 :rule refl :args (@t754))
% 0.48/1.03  (step @p745 :rule cong :premises (@p744 @p482) :args ((= @t754 @t755)))
% 0.48/1.03  (step @p746 :rule trans :premises (@p745 @p743))
% 0.48/1.03  (step @p747 :rule true_elim :premises (@p746))
% 0.48/1.03  (step @p748 :rule eq-refl :args (@t817))
% 0.48/1.03  (step @p749 :rule skolem_intro :args (@t818))
% 0.48/1.03  (step @p750 :rule refl :args (@t817))
% 0.48/1.03  (step @p751 :rule cong :premises (@p750 @p749) :args ((= @t817 @t818)))
% 0.48/1.03  (step @p752 :rule trans :premises (@p751 @p748))
% 0.48/1.03  (step @p753 :rule true_elim :premises (@p752))
% 0.48/1.03  (step @p754 :rule refl :args (tptp.ord_le1347718902_a_a_o))
% 0.48/1.03  (step @p755 :rule ho_cong :premises (@p754 @p753))
% 0.48/1.03  (step @p756 :rule ho_cong :premises (@p755 @p747))
% 0.48/1.03  (step @p757 :rule trans :premises (@p756 @p742))
% 0.48/1.03  (step @p758 :rule beta-reduce :args ((= (_ @t822 @t5) (_ @t821 @t754))))
% 0.48/1.03  (step @p759 :rule refl :args (@t5))
% 0.48/1.03  (step @p760 :rule beta-reduce :args ((= (_ @t693 @t6) @t822)))
% 0.48/1.03  (step @p761 :rule ho_cong :premises (@p760 @p759))
% 0.48/1.03  (step @p762 :rule trans :premises (@p761 @p758))
% 0.48/1.03  (step @p763 :rule refl :args (@t6))
% 0.48/1.03  (step @p764 :rule ho_cong :premises (@p344 @p763))
% 0.48/1.03  (step @p765 :rule ho_cong :premises (@p764 @p759))
% 0.48/1.03  (step @p766 :rule trans :premises (@p765 @p762))
% 0.48/1.03  (step @p767 :rule trans :premises (@p766 @p757))
% 0.48/1.03  (step @p768 :rule eq_resolve :premises (@p2 @p767))
% 0.48/1.03  (step @p769 :rule refl :args (@t823))
% 0.48/1.03  (step @p770 :rule refl :args (@t825))
% 0.48/1.03  (step @p771 :rule bool-double-not-elim :args (@t811))
% 0.48/1.03  (step @p772 :rule refl :args (@t826))
% 0.48/1.03  (step @p773 :rule nary_cong :premises (@p772 @p771 @p770 @p769) :args ((or @t826 (not @t812) @t825 @t823)))
% 0.48/1.03  (assume-push @p883 @t819)
% 0.48/1.03  (assume-push @p884 @t824)
% 0.48/1.03  (assume-push @p885 @t788)
% 0.48/1.03  (assume-push @p886 @t812)
% 0.48/1.03  (step @p778 :rule evaluate :args ((= false true)))
% 0.48/1.03  (step @p779 :rule true_intro :premises (@p768))
% 0.48/1.03  (step @p780 :rule symm :premises (@p885))
% 0.48/1.03  (step @p781 :rule symm :premises (@p884))
% 0.48/1.03  (step @p782 :rule cong :premises (@p781 @p780) :args (@t811))
% 0.48/1.03  (step @p783 :rule false_intro :premises (@p737))
% 0.48/1.03  (step @p784 :rule symm :premises (@p783))
% 0.48/1.03  (step @p785 :rule trans :premises (@p784 @p782 @p779))
% 0.48/1.03  (step @p786 false :rule eq_resolve :premises (@p785 @p778))
% 0.48/1.03  (step-pop @p887 :rule scope :premises (@p786))
% 0.48/1.03  (step-pop @p888 :rule scope :premises (@p887))
% 0.48/1.03  (step-pop @p889 :rule scope :premises (@p888))
% 0.48/1.03  (step-pop @p890 :rule scope :premises (@p889))
% 0.48/1.03  (step @p787 :rule process_scope :premises (@p890) :args (false))
% 0.48/1.03  (assume-push @p891 @t819)
% 0.48/1.03  (assume-push @p892 @t812)
% 0.48/1.03  (assume-push @p893 @t824)
% 0.48/1.03  (assume-push @p894 @t788)
% 0.48/1.03  (step @p796 :rule and_intro :premises (@p768 @p893 @p894 @p737))
% 0.48/1.03  (step-pop @p895 :rule scope :premises (@p796))
% 0.48/1.03  (step-pop @p896 :rule scope :premises (@p895))
% 0.48/1.03  (step-pop @p897 :rule scope :premises (@p896))
% 0.48/1.03  (step-pop @p898 :rule scope :premises (@p897))
% 0.48/1.03  (step @p797 :rule process_scope :premises (@p898) :args (@t827))
% 0.48/1.03  (step @p802 :rule implies_elim :premises (@p797))
% 0.48/1.03  (step @p803 :rule resolution :premises (@p802 @p787) :args (true @t827))
% 0.48/1.03  (step @p804 :rule not_and :premises (@p803))
% 0.48/1.03  (step @p805 :rule eq_resolve :premises (@p804 @p773))
% 0.48/1.03  (step @p806 :rule chain_m_resolution :premises (@p805 @p768 @p737 @p593) :args (@t825 (@list false true false) (@list @t819 @t811 @t788)))
% 0.48/1.03  ; trust TRUST THEORY_LEMMA
% 0.48/1.03  (step @p807 :rule trust :premises () :args ((or @t824 @t830)))
% 0.48/1.03  (step @p808 :rule chain_m_resolution :premises (@p807 @p806) :args (@t830 (@list true) (@list @t824)))
% 0.48/1.03  (step @p809 :rule cnf_equiv_neg2 :args (@t829))
% 0.48/1.03  (step @p810 :rule eq-symm :args (@t715 @t831))
% 0.48/1.03  (step @p811 :rule cong :premises (@p810) :args ((forall @t138 (= @t715 @t831))))
% 0.48/1.03  (step @p812 :rule refl :args (@t831))
% 0.48/1.03  (step @p813 :rule refl :args ((tptp.member449909584od_a_a @t133 @t6)))
% 0.48/1.03  (step @p814 :rule cong :premises (@p445 @p719) :args (@t715))
% 0.48/1.03  (step @p815 :rule trans :premises (@p814 @p813))
% 0.48/1.03  (step @p816 :rule ho_cong :premises (@p448 @p719))
% 0.48/1.03  (step @p817 :rule cong :premises (@p816 @p815) :args ((= (_ @t384 @t714) @t715)))
% 0.48/1.03  (step @p818 :rule symm :premises (@p817))
% 0.48/1.03  (step @p819 :rule refl :args (@t816))
% 0.48/1.03  (step @p820 :rule eq_resolve :premises (@p819 @p818))
% 0.48/1.03  (step @p821 :rule eq_resolve :premises (@p727 @p729))
% 0.48/1.03  (step @p822 :rule ho_cong :premises (@p448 @p821))
% 0.48/1.03  (step @p823 :rule trans :premises (@p822 @p820))
% 0.48/1.03  (step @p824 :rule cong :premises (@p823 @p812) :args (@t832))
% 0.48/1.03  (step @p825 :rule cong :premises (@p824) :args ((forall @t138 @t832)))
% 0.48/1.03  (step @p826 :rule trans :premises (@p825 @p811))
% 0.48/1.03  (step @p827 :rule eq-symm :args (@t831 @t816))
% 0.48/1.03  (step @p828 :rule beta-reduce :args ((= @t833 @t816)))
% 0.48/1.03  (step @p829 :rule refl :args (@t831))
% 0.48/1.03  (step @p830 :rule cong :premises (@p829 @p828) :args (@t834))
% 0.48/1.03  (step @p831 :rule trans :premises (@p830 @p827))
% 0.48/1.03  (step @p832 :rule cong :premises (@p831) :args (@t835))
% 0.48/1.03  (step @p833 :rule trans :premises (@p832 @p826))
% 0.48/1.03  (step @p834 :rule eq-refl :args (@t833))
% 0.48/1.03  (step @p835 :rule cong :premises (@p834) :args ((forall @t138 (= @t833 @t833))))
% 0.48/1.03  (step @p836 :rule trans :premises (@p835 @p363))
% 0.48/1.03  (step @p837 :rule refl :args (@t833))
% 0.48/1.03  (step @p838 :rule ho_cong :premises (@p749 @p368))
% 0.48/1.03  (step @p839 :rule cong :premises (@p838 @p837) :args (@t834))
% 0.48/1.03  (step @p840 :rule cong :premises (@p839) :args (@t835))
% 0.48/1.03  (step @p841 :rule trans :premises (@p840 @p836))
% 0.48/1.03  (step @p842 :rule true_elim :premises (@p841))
% 0.48/1.03  (step @p843 :rule eq_resolve :premises (@p842 @p833))
% 0.48/1.03  (step @p844 :rule instantiate :premises (@p843) :args (@t727))
% 0.48/1.03  (step @p845 :rule cnf_equiv_pos1 :args (@t836))
% 0.48/1.03  (step @p846 :rule reordering :premises (@p845) :args ((or @t838 @t723 @t837)))
% 0.48/1.03  (step @p847 :rule cnf_equiv_pos2 :args (@t728))
% 0.48/1.03  (step @p848 :rule reordering :premises (@p847) :args ((or @t724 @t840 @t839)))
% 0.48/1.03  (step @p849 :rule chain_m_resolution :premises (@p848 @p385 @p846 @p844 @p809 @p808) :args (@t838 (@list false false false true true) (@list @t728 @t723 @t836 @t724 @t829)))
% 0.48/1.03  (step @p850 :rule cnf_equiv_neg1 :args (@t829))
% 0.48/1.03  (step @p851 :rule reordering :premises (@p850) :args ((or @t828 @t724 @t829)))
% 0.48/1.03  (step @p852 :rule chain_m_resolution :premises (@p851 @p849 @p808) :args (@t724 (@list true true) (@list @t828 @t829)))
% 0.48/1.03  (step @p853 :rule cnf_equiv_pos2 :args (@t836))
% 0.48/1.03  (step @p854 :rule reordering :premises (@p853) :args ((or @t828 @t840 @t837)))
% 0.48/1.03  (step @p855 :rule chain_m_resolution :premises (@p854 @p849 @p844) :args (@t840 (@list true false) (@list @t828 @t836)))
% 0.48/1.03  (step @p856 :rule cnf_equiv_pos1 :args (@t728))
% 0.48/1.03  (step @p857 :rule reordering :premises (@p856) :args ((or (not @t724) @t723 @t839)))
% 0.48/1.03  (step @p858 false :rule chain_m_resolution :premises (@p857 @p855 @p852 @p385) :args (false @t815 (@list @t723 @t724 @t728)))
% 0.48/1.03  )
% 0.48/1.03  % SZS output end Proof
% 0.48/1.03  % cvc5 exiting
%------------------------------------------------------------------------------