%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP028^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:24:50 AM UTC 2026 % Result : Theorem 0.43s 0.89s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP028^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 04:09:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.38/0.58 %----Proving TH0 % 0.43/0.89 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.43/0.89 % SZS status Theorem % 0.43/0.89 % SZS output start Proof % 0.43/0.89 ( % 0.43/0.89 (declare-sort tptp.set_Pr204296108_a_a_e 0) % 0.43/0.89 (declare-sort tptp.produc715398134_a_a_e 0) % 0.43/0.89 (declare-sort tptp.set_a 0) % 0.43/0.89 (declare-sort tptp.a 0) % 0.43/0.89 (declare-sort tptp.e 0) % 0.43/0.89 (declare-sort tptp.set_set_a 0) % 0.43/0.89 (declare-sort tptp.set_a_e 0) % 0.43/0.89 (declare-sort tptp.produc169085773_a_a_e 0) % 0.43/0.89 (declare-sort tptp.produc1691597095_set_a 0) % 0.43/0.89 (declare-sort tptp.set_Pr1710391469_a_a_e 0) % 0.43/0.89 (declare-sort tptp.set_Pr2045688071_set_a 0) % 0.43/0.89 (declare-sort tptp.set_set_set_a 0) % 0.43/0.89 (declare-sort tptp.set_Pr305929312_set_a 0) % 0.43/0.89 (declare-sort tptp.set_se821189730_a_a_e 0) % 0.43/0.89 (declare-sort tptp.produc1965228714_set_a 0) % 0.43/0.89 (declare-const tptp.member_set_a (-> tptp.set_a tptp.set_set_a Bool)) % 0.43/0.89 (declare-const tptp.member1258382221_a_a_e (-> tptp.produc715398134_a_a_e tptp.set_Pr204296108_a_a_e Bool)) % 0.43/0.89 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.43/0.89 (declare-const tptp.produc385678576_set_a (-> tptp.produc1965228714_set_a tptp.a tptp.e)) % 0.43/0.89 (declare-const tptp.produc1809800494_set_a (-> tptp.produc1965228714_set_a tptp.set_a)) % 0.43/0.89 (declare-const tptp.produc1134456688_a_a_e (-> tptp.set_a (-> tptp.a tptp.e) tptp.produc715398134_a_a_e)) % 0.43/0.89 (declare-const tptp.produc1040928388_a_a_e (-> tptp.produc715398134_a_a_e tptp.set_a)) % 0.43/0.89 (declare-const tptp.produc317566658_a_a_e (-> tptp.produc715398134_a_a_e tptp.a tptp.e)) % 0.43/0.89 (declare-const tptp.produc479206876_set_a (-> (-> tptp.a tptp.e) tptp.set_a tptp.produc1965228714_set_a)) % 0.43/0.89 (declare-const tptp.top_top_set_set_a tptp.set_set_a) % 0.43/0.89 (declare-const tptp.top_to1601855068_a_a_e tptp.set_Pr204296108_a_a_e) % 0.43/0.89 (declare-const tptp.bNF_pi929741261_a_a_e (-> (-> tptp.set_a tptp.set_a Bool) (-> tptp.set_a (-> tptp.a tptp.e) Bool) tptp.set_a (-> tptp.a tptp.e) tptp.set_a)) % 0.43/0.89 (declare-const tptp.bNF_pi1175744974_e_a_e (-> (-> tptp.set_a (-> tptp.a tptp.e) Bool) (-> (-> tptp.a tptp.e) (-> tptp.a tptp.e) Bool) tptp.set_a (-> tptp.a tptp.e) tptp.a tptp.e)) % 0.43/0.89 (declare-const tptp.thesis Bool) % 0.43/0.89 (declare-const tptp.bNF_Gr2072183031_a_a_e (-> tptp.set_Pr204296108_a_a_e (-> tptp.produc715398134_a_a_e tptp.set_a) (-> tptp.produc715398134_a_a_e tptp.a tptp.e) tptp.set_Pr204296108_a_a_e)) % 0.43/0.89 (declare-const tptp.relcom779348378_a_a_e (-> (-> tptp.set_a tptp.set_a Bool) (-> tptp.set_a (-> tptp.a tptp.e) Bool) tptp.set_a (-> tptp.a tptp.e) Bool)) % 0.43/0.89 (declare-const tptp.relcom658603713_e_a_e (-> (-> tptp.set_a (-> tptp.a tptp.e) Bool) (-> (-> tptp.a tptp.e) (-> tptp.a tptp.e) Bool) tptp.set_a (-> tptp.a tptp.e) Bool)) % 0.43/0.89 (declare-const tptp.produc1096319049_a_a_e (-> (-> tptp.set_a (-> tptp.a tptp.e) tptp.set_Pr204296108_a_a_e) tptp.produc715398134_a_a_e tptp.set_Pr204296108_a_a_e)) % 0.43/0.89 (declare-const tptp.produc1620938593_set_a (-> (-> tptp.set_a (-> tptp.a tptp.e) tptp.set_set_a) tptp.produc715398134_a_a_e tptp.set_set_a)) % 0.43/0.89 (declare-const tptp.image_1149879910_e_a_e (-> (-> tptp.produc715398134_a_a_e tptp.a tptp.e) tptp.set_Pr204296108_a_a_e tptp.set_a_e)) % 0.43/0.89 (declare-const tptp.produc1341862587_a_e_o (-> (-> tptp.set_a (-> tptp.a tptp.e) Bool) tptp.produc715398134_a_a_e Bool)) % 0.43/0.89 (declare-const tptp.image_1930509541_set_a (-> (-> tptp.set_a tptp.set_set_a) tptp.set_set_a tptp.set_set_set_a)) % 0.43/0.89 (declare-const tptp.finite_Fpow_set_a (-> tptp.set_set_a tptp.set_set_set_a)) % 0.43/0.89 (declare-const tptp.image_set_set_a_a (-> (-> tptp.set_set_a tptp.a) tptp.set_set_set_a tptp.set_a)) % 0.43/0.89 (declare-const tptp.image_set_a_a_e (-> (-> tptp.set_a tptp.a tptp.e) tptp.set_set_a tptp.set_a_e)) % 0.43/0.89 (declare-const tptp.image_a_e_a (-> (-> (-> tptp.a tptp.e) tptp.a) tptp.set_a_e tptp.set_a)) % 0.43/0.89 (declare-const tptp.image_a_set_a (-> (-> tptp.a tptp.set_a) tptp.set_a tptp.set_set_a)) % 0.43/0.89 (declare-const tptp.image_a_a (-> (-> tptp.a tptp.a) tptp.set_a tptp.set_a)) % 0.43/0.89 (declare-const tptp.image_set_a_set_a (-> (-> tptp.set_a tptp.set_a) tptp.set_set_a tptp.set_set_a)) % 0.43/0.89 (declare-const tptp.finite_Fpow_a (-> tptp.set_a tptp.set_set_a)) % 0.43/0.89 (declare-const tptp.image_a_set_set_a (-> (-> tptp.a tptp.set_set_a) tptp.set_a tptp.set_set_set_a)) % 0.43/0.89 (declare-const tptp.ord_le802356416_set_a (-> tptp.set_Pr305929312_set_a tptp.set_Pr305929312_set_a Bool)) % 0.43/0.89 (declare-const tptp.collec1369693387_a_a_e (-> (-> tptp.produc715398134_a_a_e Bool) tptp.set_Pr204296108_a_a_e)) % 0.43/0.89 (declare-const tptp.image_210900495_a_a_e (-> (-> tptp.set_a tptp.produc715398134_a_a_e) tptp.set_set_a tptp.set_Pr204296108_a_a_e)) % 0.43/0.89 (declare-const tptp.finite33065488_a_a_e (-> tptp.set_Pr204296108_a_a_e tptp.set_se821189730_a_a_e)) % 0.43/0.89 (declare-const tptp.member_set_set_a (-> tptp.set_set_a tptp.set_set_set_a Bool)) % 0.43/0.89 (declare-const tptp.c tptp.set_Pr204296108_a_a_e) % 0.43/0.89 (declare-const tptp.member_a_e (-> (-> tptp.a tptp.e) tptp.set_a_e Bool)) % 0.43/0.89 (declare-const tptp.pow_Pr328302361_a_a_e (-> tptp.set_Pr204296108_a_a_e tptp.set_se821189730_a_a_e)) % 0.43/0.89 (declare-const tptp.image_625620211_a_a_e (-> (-> tptp.produc715398134_a_a_e tptp.produc715398134_a_a_e) tptp.set_Pr204296108_a_a_e tptp.set_Pr204296108_a_a_e)) % 0.43/0.89 (declare-const tptp.top_to144004695_set_a tptp.set_Pr2045688071_set_a) % 0.43/0.89 (declare-const tptp.b1 (-> tptp.a tptp.e)) % 0.43/0.89 (declare-const tptp.a3 tptp.set_a) % 0.43/0.89 (declare-const tptp.produc952037978_a_e_o (-> (-> tptp.produc715398134_a_a_e Bool) tptp.set_a (-> tptp.a tptp.e) Bool)) % 0.43/0.89 (declare-const tptp.converse_set_a_a_e (-> tptp.set_Pr204296108_a_a_e tptp.set_Pr305929312_set_a)) % 0.43/0.89 (declare-const tptp.bNF_Gr1872575811_a_a_e (-> tptp.set_set_a (-> tptp.set_a tptp.set_a) (-> tptp.set_a tptp.a tptp.e) tptp.set_Pr204296108_a_a_e)) % 0.43/0.89 (declare-const tptp.image_set_a_a (-> (-> tptp.set_a tptp.a) tptp.set_set_a tptp.set_a)) % 0.43/0.89 (declare-const tptp.converse_a_e_set_a (-> tptp.set_Pr305929312_set_a tptp.set_Pr204296108_a_a_e)) % 0.43/0.89 (declare-const tptp.member360729153_set_a (-> tptp.produc1965228714_set_a tptp.set_Pr305929312_set_a Bool)) % 0.43/0.89 (declare-const tptp.order_Greatest_set_a (-> (-> tptp.set_a Bool) tptp.set_a)) % 0.43/0.89 (declare-const tptp.pow_a (-> tptp.set_a tptp.set_set_a)) % 0.43/0.89 (declare-const tptp.a1 tptp.set_a) % 0.43/0.89 (declare-const tptp.image_1875450791_set_a (-> (-> tptp.produc715398134_a_a_e tptp.produc1965228714_set_a) tptp.set_Pr204296108_a_a_e tptp.set_Pr305929312_set_a)) % 0.43/0.89 (declare-const tptp.ord_less_eq_set_a_e (-> tptp.set_a_e tptp.set_a_e Bool)) % 0.43/0.89 (declare-const tptp.image_a_a_e (-> (-> tptp.a tptp.a tptp.e) tptp.set_a tptp.set_a_e)) % 0.43/0.89 (declare-const tptp.image_64240033_set_a (-> (-> tptp.produc715398134_a_a_e tptp.set_a) tptp.set_Pr204296108_a_a_e tptp.set_set_a)) % 0.43/0.89 (declare-const tptp.b2 (-> tptp.a tptp.e)) % 0.43/0.89 (declare-const tptp.produc387505142_set_a (-> (-> tptp.produc715398134_a_a_e tptp.set_a) (-> tptp.produc715398134_a_a_e tptp.set_a) tptp.produc169085773_a_a_e tptp.produc1691597095_set_a)) % 0.43/0.89 (declare-const tptp.ord_le2103863998_set_a (-> tptp.set_set_set_a tptp.set_set_set_a Bool)) % 0.43/0.89 (declare-const tptp.collect_set_a (-> (-> tptp.set_a Bool) tptp.set_set_a)) % 0.43/0.89 (declare-const tptp.image_402591269_set_a (-> (-> tptp.set_set_a tptp.set_a) tptp.set_set_set_a tptp.set_set_a)) % 0.43/0.89 (declare-const tptp.image_1956910981_set_a (-> (-> tptp.set_set_a tptp.set_set_a) tptp.set_set_set_a tptp.set_set_set_a)) % 0.43/0.89 (declare-const tptp.image_2116492353_a_e_a (-> (-> tptp.produc715398134_a_a_e tptp.a) tptp.set_Pr204296108_a_a_e tptp.set_a)) % 0.43/0.89 (declare-const tptp.member1437121347_a_a_e (-> tptp.set_Pr204296108_a_a_e tptp.set_se821189730_a_a_e Bool)) % 0.43/0.89 (declare-const tptp.a2 tptp.set_a) % 0.43/0.89 (declare-const tptp.top_to970499581_a_a_e tptp.set_Pr1710391469_a_a_e) % 0.43/0.89 (declare-const tptp.image_1441218763_set_a (-> (-> tptp.set_Pr204296108_a_a_e tptp.set_set_a) tptp.set_se821189730_a_a_e tptp.set_set_set_a)) % 0.43/0.89 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.43/0.89 (declare-const tptp.pow_set_a (-> tptp.set_set_a tptp.set_set_set_a)) % 0.43/0.89 (declare-const tptp.domain_set_a_a_e (-> tptp.set_Pr204296108_a_a_e tptp.set_set_a)) % 0.43/0.89 (declare-const tptp.range_set_a_a_e (-> tptp.set_Pr204296108_a_a_e tptp.set_a_e)) % 0.43/0.89 (declare-const tptp.image_376979367_a_a_e (-> (-> tptp.produc1965228714_set_a tptp.produc715398134_a_a_e) tptp.set_Pr305929312_set_a tptp.set_Pr204296108_a_a_e)) % 0.43/0.89 (declare-const tptp.produc1443219402_e_a_e (-> (-> tptp.set_a tptp.set_a) (-> (-> tptp.a tptp.e) tptp.a tptp.e) tptp.produc715398134_a_a_e tptp.produc715398134_a_a_e)) % 0.43/0.89 (declare-const tptp.image_2101504031_set_a (-> (-> tptp.produc169085773_a_a_e tptp.produc1691597095_set_a) tptp.set_Pr1710391469_a_a_e tptp.set_Pr2045688071_set_a)) % 0.43/0.89 (declare-const tptp.b3 (-> tptp.a tptp.e)) % 0.43/0.89 (declare-const tptp.top_top_set_a tptp.set_a) % 0.43/0.89 (define tptp.ord_le318720350_set_a () (let ((_let_1 (@var "B4" tptp.set_set_a))) (let ((_let_2 (@var "T" tptp.set_a))) (let ((_let_3 (_ tptp.member_set_a _let_2))) (let ((_let_4 (@var "A4" tptp.set_set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.43/0.89 (define tptp.ord_le700723212_a_a_e () (let ((_let_1 (@var "B4" tptp.set_Pr204296108_a_a_e))) (let ((_let_2 (@var "T" tptp.produc715398134_a_a_e))) (let ((_let_3 (_ tptp.member1258382221_a_a_e _let_2))) (let ((_let_4 (@var "A4" tptp.set_Pr204296108_a_a_e))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.43/0.89 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B4" tptp.set_a))) (let ((_let_2 (@var "T" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@var "A4" tptp.set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.43/0.89 (define tptp.ord_less_eq_o_set_a () (let ((_let_1 (@var "Y6" (-> Bool tptp.set_a)))) (let ((_let_2 (@var "X5" (-> Bool tptp.set_a)))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.ord_less_eq_set_a (_ _let_2 false)) (_ _let_1 false)) (_ (_ tptp.ord_less_eq_set_a (_ _let_2 true)) (_ _let_1 true))))))) % 0.43/0.89 (define tptp.produc100464700_set_a () (let ((_let_1 (@var "P3" tptp.produc1965228714_set_a))) (lambda (@list _let_1) (_ (_ tptp.produc1134456688_a_a_e (_ tptp.produc1809800494_set_a _let_1)) (_ tptp.produc385678576_set_a _let_1))))) % 0.43/0.89 (define tptp.produc755714512_a_a_e () (let ((_let_1 (@var "P3" tptp.produc715398134_a_a_e))) (lambda (@list _let_1) (_ (_ tptp.produc479206876_set_a (_ tptp.produc317566658_a_a_e _let_1)) (_ tptp.produc1040928388_a_a_e _let_1))))) % 0.43/0.89 (define tptp.top_top_set_a_o () (let ((_let_1 (@var "X4" tptp.set_a))) (lambda (@list _let_1) (_ (_ tptp.member_set_a _let_1) tptp.top_top_set_set_a)))) % 0.43/0.89 (define tptp.top_to2000253225_a_e_o () (let ((_let_1 (@var "X4" tptp.produc715398134_a_a_e))) (lambda (@list _let_1) (_ (_ tptp.member1258382221_a_a_e _let_1) tptp.top_to1601855068_a_a_e)))) % 0.43/0.89 (define tptp.bNF_sn375433437_a_a_e () (let ((_let_1 (@var "Ac" tptp.produc715398134_a_a_e))) (let ((_let_2 (_ tptp.produc317566658_a_a_e _let_1))) (let ((_let_3 (@var "Q3" (-> tptp.set_a (-> tptp.a tptp.e) Bool)))) (let ((_let_4 (@var "P4" (-> tptp.set_a tptp.set_a Bool)))) (lambda (@list _let_4 _let_3 _let_1) (_ (_ tptp.produc1134456688_a_a_e (_ (_ (_ (_ tptp.bNF_pi929741261_a_a_e _let_4) _let_3) (_ tptp.produc1040928388_a_a_e _let_1)) _let_2)) _let_2))))))) % 0.43/0.89 (define tptp.bNF_fs1024561536_e_a_e () (let ((_let_1 (@var "Ac" tptp.produc715398134_a_a_e))) (let ((_let_2 (_ tptp.produc1040928388_a_a_e _let_1))) (let ((_let_3 (@var "Q3" (-> (-> tptp.a tptp.e) (-> tptp.a tptp.e) Bool)))) (let ((_let_4 (@var "P4" (-> tptp.set_a (-> tptp.a tptp.e) Bool)))) (lambda (@list _let_4 _let_3 _let_1) (_ (_ tptp.produc1134456688_a_a_e _let_2) (_ (_ (_ (_ tptp.bNF_pi1175744974_e_a_e _let_4) _let_3) _let_2) (_ tptp.produc317566658_a_a_e _let_1))))))))) % 0.43/0.89 (define tptp.fun_in_rel_set_a_a_e () (let ((_let_1 (@var "R3" tptp.set_Pr204296108_a_a_e))) (let ((_let_2 (@var "Y4" (-> tptp.a tptp.e)))) (let ((_let_3 (@var "X4" tptp.set_a))) (lambda (@list _let_1 _let_3 _let_2) (_ (_ tptp.member1258382221_a_a_e (_ (_ tptp.produc1134456688_a_a_e _let_3) _let_2)) _let_1)))))) % 0.43/0.89 (define @t1 () (@var "X" tptp.produc715398134_a_a_e)) % 0.43/0.89 (define @t2 () (_ tptp.produc1040928388_a_a_e @t1)) % 0.43/0.89 (define @t3 () (@var "Xa" tptp.produc715398134_a_a_e)) % 0.43/0.89 (define @t4 () (_ tptp.produc1040928388_a_a_e @t3)) % 0.43/0.89 (define @t5 () (_ tptp.member1258382221_a_a_e @t1)) % 0.43/0.89 (define @t6 () (@list @t1)) % 0.43/0.89 (define @t7 () (@var "X2" tptp.set_a)) % 0.43/0.89 (define @t8 () (_ tptp.ord_less_eq_set_a tptp.a3)) % 0.43/0.89 (define @t9 () (_ tptp.ord_less_eq_set_a tptp.a2)) % 0.43/0.89 (define @t10 () (_ tptp.ord_less_eq_set_a tptp.a1)) % 0.43/0.89 (define @t11 () (_ tptp.image_64240033_set_a tptp.produc1040928388_a_a_e)) % 0.43/0.89 (define @t12 () (_ @t11 tptp.c)) % 0.43/0.89 (define @t13 () (_ tptp.member_set_a @t7)) % 0.43/0.89 (define @t14 () (_ @t13 @t12)) % 0.43/0.89 (define @t15 () (and @t14 (_ @t10 @t7) (_ @t9 @t7) (_ @t8 @t7))) % 0.43/0.89 (define @t16 () (@list @t7)) % 0.43/0.89 (define @t17 () (exists @t16 @t15)) % 0.43/0.89 (define @t18 () (@var "B" tptp.set_a_e)) % 0.43/0.89 (define @t19 () (@var "A" tptp.set_a_e)) % 0.43/0.89 (define @t20 () (@var "X2" (-> tptp.a tptp.e))) % 0.43/0.89 (define @t21 () (_ tptp.member_a_e @t20)) % 0.43/0.89 (define @t22 () (_ @t21 @t19)) % 0.43/0.89 (define @t23 () (@list @t20)) % 0.43/0.89 (define @t24 () (@var "B" tptp.set_Pr305929312_set_a)) % 0.43/0.89 (define @t25 () (@var "A" tptp.set_Pr305929312_set_a)) % 0.43/0.89 (define @t26 () (@var "X2" tptp.produc1965228714_set_a)) % 0.43/0.89 (define @t27 () (_ tptp.member360729153_set_a @t26)) % 0.43/0.89 (define @t28 () (@var "B" tptp.set_set_set_a)) % 0.43/0.89 (define @t29 () (@var "A" tptp.set_set_set_a)) % 0.43/0.89 (define @t30 () (_ (_ tptp.ord_le2103863998_set_a @t29) @t28)) % 0.43/0.89 (define @t31 () (@var "X2" tptp.set_set_a)) % 0.43/0.89 (define @t32 () (_ tptp.member_set_set_a @t31)) % 0.43/0.89 (define @t33 () (@list @t29 @t28)) % 0.43/0.89 (define @t34 () (@var "B" tptp.set_set_a)) % 0.43/0.89 (define @t35 () (@var "A" tptp.set_set_a)) % 0.43/0.89 (define @t36 () (_ (_ tptp.ord_le318720350_set_a @t35) @t34)) % 0.43/0.89 (define @t37 () (_ @t13 @t34)) % 0.43/0.89 (define @t38 () (_ @t13 @t35)) % 0.43/0.89 (define @t39 () (@list @t35 @t34)) % 0.43/0.89 (define @t40 () (@var "B" tptp.set_Pr204296108_a_a_e)) % 0.43/0.89 (define @t41 () (@var "A" tptp.set_Pr204296108_a_a_e)) % 0.43/0.89 (define @t42 () (_ tptp.ord_le700723212_a_a_e @t41)) % 0.43/0.89 (define @t43 () (_ @t42 @t40)) % 0.43/0.89 (define @t44 () (@var "X2" tptp.produc715398134_a_a_e)) % 0.43/0.89 (define @t45 () (_ tptp.member1258382221_a_a_e @t44)) % 0.43/0.89 (define @t46 () (_ @t45 @t40)) % 0.43/0.89 (define @t47 () (_ @t45 @t41)) % 0.43/0.89 (define @t48 () (@list @t44)) % 0.43/0.89 (define @t49 () (@list @t41 @t40)) % 0.43/0.89 (define @t50 () (@var "B" tptp.set_a)) % 0.43/0.89 (define @t51 () (@var "A" tptp.set_a)) % 0.43/0.89 (define @t52 () (_ tptp.ord_less_eq_set_a @t51)) % 0.43/0.89 (define @t53 () (_ @t52 @t50)) % 0.43/0.89 (define @t54 () (@var "X2" tptp.a)) % 0.43/0.89 (define @t55 () (_ tptp.member_a @t54)) % 0.43/0.89 (define @t56 () (_ @t55 @t50)) % 0.43/0.89 (define @t57 () (_ @t55 @t51)) % 0.43/0.89 (define @t58 () (@list @t54)) % 0.43/0.89 (define @t59 () (@list @t51 @t50)) % 0.43/0.89 (define @t60 () (= @t41 @t40)) % 0.43/0.89 (define @t61 () (_ (_ tptp.ord_le700723212_a_a_e @t40) @t41)) % 0.43/0.89 (define @t62 () (= @t35 @t34)) % 0.43/0.89 (define @t63 () (_ tptp.ord_le318720350_set_a @t34)) % 0.43/0.89 (define @t64 () (_ @t63 @t35)) % 0.43/0.89 (define @t65 () (_ tptp.ord_le2103863998_set_a @t28)) % 0.43/0.89 (define @t66 () (= @t51 @t50)) % 0.43/0.89 (define @t67 () (_ tptp.ord_less_eq_set_a @t50)) % 0.43/0.89 (define @t68 () (_ @t67 @t51)) % 0.43/0.89 (define @t69 () (@var "F" (-> tptp.set_a tptp.set_a))) % 0.43/0.89 (define @t70 () (_ tptp.image_set_a_set_a @t69)) % 0.43/0.89 (define @t71 () (_ @t70 @t35)) % 0.43/0.89 (define @t72 () (@var "B2" tptp.set_a)) % 0.43/0.89 (define @t73 () (_ tptp.member_set_a @t72)) % 0.43/0.89 (define @t74 () (_ @t73 @t71)) % 0.43/0.89 (define @t75 () (@var "X3" tptp.set_a)) % 0.43/0.89 (define @t76 () (_ tptp.member_set_a @t75)) % 0.43/0.89 (define @t77 () (_ @t76 @t35)) % 0.43/0.89 (define @t78 () (_ @t69 @t75)) % 0.43/0.89 (define @t79 () (= @t72 @t78)) % 0.43/0.89 (define @t80 () (@var "F" (-> tptp.set_a tptp.produc715398134_a_a_e))) % 0.43/0.89 (define @t81 () (_ (_ tptp.image_210900495_a_a_e @t80) @t35)) % 0.43/0.89 (define @t82 () (@var "B2" tptp.produc715398134_a_a_e)) % 0.43/0.89 (define @t83 () (_ tptp.member1258382221_a_a_e @t82)) % 0.43/0.89 (define @t84 () (_ @t83 @t81)) % 0.43/0.89 (define @t85 () (_ @t80 @t75)) % 0.43/0.89 (define @t86 () (= @t82 @t85)) % 0.43/0.89 (define @t87 () (@var "F" (-> tptp.produc715398134_a_a_e tptp.set_a))) % 0.43/0.89 (define @t88 () (_ tptp.image_64240033_set_a @t87)) % 0.43/0.89 (define @t89 () (_ @t88 @t41)) % 0.43/0.89 (define @t90 () (_ @t73 @t89)) % 0.43/0.89 (define @t91 () (@var "X3" tptp.produc715398134_a_a_e)) % 0.43/0.89 (define @t92 () (_ tptp.member1258382221_a_a_e @t91)) % 0.43/0.89 (define @t93 () (_ @t92 @t41)) % 0.43/0.89 (define @t94 () (_ @t87 @t91)) % 0.43/0.89 (define @t95 () (= @t72 @t94)) % 0.43/0.89 (define @t96 () (@var "F" (-> tptp.produc715398134_a_a_e tptp.produc715398134_a_a_e))) % 0.43/0.89 (define @t97 () (_ (_ tptp.image_625620211_a_a_e @t96) @t41)) % 0.43/0.89 (define @t98 () (_ @t83 @t97)) % 0.43/0.89 (define @t99 () (_ @t96 @t91)) % 0.43/0.89 (define @t100 () (= @t82 @t99)) % 0.43/0.89 (define @t101 () (@var "F" (-> tptp.a tptp.a))) % 0.43/0.89 (define @t102 () (_ tptp.image_a_a @t101)) % 0.43/0.89 (define @t103 () (_ @t102 @t51)) % 0.43/0.89 (define @t104 () (@var "B2" tptp.a)) % 0.43/0.89 (define @t105 () (_ tptp.member_a @t104)) % 0.43/0.89 (define @t106 () (@var "X3" tptp.a)) % 0.43/0.89 (define @t107 () (_ tptp.member_a @t106)) % 0.43/0.89 (define @t108 () (_ @t107 @t51)) % 0.43/0.89 (define @t109 () (@var "F" (-> tptp.set_a tptp.a))) % 0.43/0.89 (define @t110 () (_ tptp.image_set_a_a @t109)) % 0.43/0.89 (define @t111 () (_ @t110 @t35)) % 0.43/0.89 (define @t112 () (@var "F" (-> tptp.a tptp.set_a))) % 0.43/0.89 (define @t113 () (_ tptp.image_a_set_a @t112)) % 0.43/0.89 (define @t114 () (_ @t113 @t51)) % 0.43/0.89 (define @t115 () (@var "F" (-> tptp.a tptp.a tptp.e))) % 0.43/0.89 (define @t116 () (_ (_ tptp.image_a_a_e @t115) @t51)) % 0.43/0.89 (define @t117 () (@var "B2" (-> tptp.a tptp.e))) % 0.43/0.89 (define @t118 () (_ tptp.member_a_e @t117)) % 0.43/0.89 (define @t119 () (@var "F" (-> (-> tptp.a tptp.e) tptp.a))) % 0.43/0.89 (define @t120 () (_ (_ tptp.image_a_e_a @t119) @t19)) % 0.43/0.89 (define @t121 () (@var "X3" (-> tptp.a tptp.e))) % 0.43/0.89 (define @t122 () (_ tptp.member_a_e @t121)) % 0.43/0.89 (define @t123 () (@var "F" (-> tptp.set_a tptp.a tptp.e))) % 0.43/0.89 (define @t124 () (@var "X3" tptp.set_Pr204296108_a_a_e)) % 0.43/0.89 (define @t125 () (_ tptp.ord_le700723212_a_a_e @t124)) % 0.43/0.89 (define @t126 () (@var "X3" tptp.set_set_a)) % 0.43/0.89 (define @t127 () (_ tptp.ord_le318720350_set_a @t126)) % 0.43/0.89 (define @t128 () (@var "X3" tptp.set_set_set_a)) % 0.43/0.89 (define @t129 () (_ tptp.ord_le2103863998_set_a @t128)) % 0.43/0.89 (define @t130 () (@var "X3" (-> Bool tptp.set_a))) % 0.43/0.89 (define @t131 () (_ tptp.ord_less_eq_o_set_a @t130)) % 0.43/0.89 (define @t132 () (_ tptp.ord_less_eq_set_a @t75)) % 0.43/0.89 (define @t133 () (@list @t75)) % 0.43/0.89 (define @t134 () (_ tptp.ord_less_eq_set_a @t103)) % 0.43/0.89 (define @t135 () (_ tptp.ord_le318720350_set_a @t89)) % 0.43/0.89 (define @t136 () (_ tptp.ord_le318720350_set_a @t114)) % 0.43/0.89 (define @t137 () (_ tptp.ord_less_eq_set_a @t111)) % 0.43/0.89 (define @t138 () (@var "F" (-> tptp.a tptp.set_set_a))) % 0.43/0.89 (define @t139 () (_ tptp.image_a_set_set_a @t138)) % 0.43/0.89 (define @t140 () (_ @t139 @t51)) % 0.43/0.89 (define @t141 () (_ tptp.ord_le318720350_set_a @t71)) % 0.43/0.89 (define @t142 () (@var "F" (-> tptp.set_set_a tptp.a))) % 0.43/0.89 (define @t143 () (_ tptp.image_set_set_a_a @t142)) % 0.43/0.89 (define @t144 () (_ @t143 @t29)) % 0.43/0.89 (define @t145 () (@var "F" (-> tptp.set_a tptp.set_set_a))) % 0.43/0.89 (define @t146 () (_ tptp.image_1930509541_set_a @t145)) % 0.43/0.89 (define @t147 () (_ @t146 @t35)) % 0.43/0.89 (define @t148 () (@var "F" (-> tptp.set_set_a tptp.set_a))) % 0.43/0.89 (define @t149 () (_ tptp.image_402591269_set_a @t148)) % 0.43/0.89 (define @t150 () (_ @t149 @t29)) % 0.43/0.89 (define @t151 () (@var "F" (-> tptp.set_set_a tptp.set_set_a))) % 0.43/0.89 (define @t152 () (_ tptp.image_1956910981_set_a @t151)) % 0.43/0.89 (define @t153 () (_ @t152 @t29)) % 0.43/0.89 (define @t154 () (_ @t137 @t50)) % 0.43/0.89 (define @t155 () (_ @t141 @t34)) % 0.43/0.89 (define @t156 () (_ @t69 @t7)) % 0.43/0.89 (define @t157 () (forall @t16 (=> @t38 (_ (_ tptp.member_set_a @t156) @t34)))) % 0.43/0.89 (define @t158 () (@var "F" (-> tptp.produc715398134_a_a_e tptp.a))) % 0.43/0.89 (define @t159 () (_ (_ tptp.ord_le700723212_a_a_e @t81) @t40)) % 0.43/0.89 (define @t160 () (_ @t80 @t7)) % 0.43/0.89 (define @t161 () (forall @t16 (=> @t38 (_ (_ tptp.member1258382221_a_a_e @t160) @t40)))) % 0.43/0.89 (define @t162 () (_ @t135 @t34)) % 0.43/0.89 (define @t163 () (_ @t87 @t44)) % 0.43/0.89 (define @t164 () (forall @t48 (=> @t47 (_ (_ tptp.member_set_a @t163) @t34)))) % 0.43/0.89 (define @t165 () (forall @t48 (=> @t47 (_ (_ tptp.member1258382221_a_a_e (_ @t96 @t44)) @t40)))) % 0.43/0.89 (define @t166 () (_ @t134 @t50)) % 0.43/0.89 (define @t167 () (@var "C" tptp.set_a)) % 0.43/0.89 (define @t168 () (_ (_ tptp.ord_less_eq_set_a @t167) @t51)) % 0.43/0.89 (define @t169 () (@list @t167)) % 0.43/0.89 (define @t170 () (_ @t67 @t103)) % 0.43/0.89 (define @t171 () (@list @t50 @t101 @t51)) % 0.43/0.89 (define @t172 () (@var "C" tptp.set_Pr204296108_a_a_e)) % 0.43/0.89 (define @t173 () (_ @t63 @t89)) % 0.43/0.89 (define @t174 () (@list @t34 @t87 @t41)) % 0.43/0.89 (define @t175 () (@var "C" tptp.set_set_a)) % 0.43/0.89 (define @t176 () (_ (_ tptp.ord_le318720350_set_a @t175) @t35)) % 0.43/0.89 (define @t177 () (@list @t175)) % 0.43/0.89 (define @t178 () (_ @t67 @t111)) % 0.43/0.89 (define @t179 () (@list @t50 @t109 @t35)) % 0.43/0.89 (define @t180 () (_ @t63 @t114)) % 0.43/0.89 (define @t181 () (@list @t34 @t112 @t51)) % 0.43/0.89 (define @t182 () (@var "C" tptp.set_set_set_a)) % 0.43/0.89 (define @t183 () (_ (_ tptp.ord_le2103863998_set_a @t182) @t29)) % 0.43/0.89 (define @t184 () (@list @t182)) % 0.43/0.89 (define @t185 () (_ @t67 @t144)) % 0.43/0.89 (define @t186 () (@list @t50 @t142 @t29)) % 0.43/0.89 (define @t187 () (_ @t63 @t71)) % 0.43/0.89 (define @t188 () (@list @t34 @t69 @t35)) % 0.43/0.89 (define @t189 () (_ @t65 @t140)) % 0.43/0.89 (define @t190 () (@list @t28 @t138 @t51)) % 0.43/0.89 (define @t191 () (_ @t63 @t150)) % 0.43/0.89 (define @t192 () (@list @t34 @t148 @t29)) % 0.43/0.89 (define @t193 () (_ @t65 @t147)) % 0.43/0.89 (define @t194 () (@list @t28 @t145 @t35)) % 0.43/0.89 (define @t195 () (_ @t65 @t153)) % 0.43/0.89 (define @t196 () (@list @t28 @t151 @t29)) % 0.43/0.89 (define @t197 () (@var "X4" tptp.set_a)) % 0.43/0.89 (define @t198 () (_ tptp.member_set_a @t197)) % 0.43/0.89 (define @t199 () (_ @t198 @t35)) % 0.43/0.89 (define @t200 () (@list @t197)) % 0.43/0.89 (define @t201 () (@var "X4" tptp.a)) % 0.43/0.89 (define @t202 () (_ tptp.member_a @t201)) % 0.43/0.89 (define @t203 () (@list @t201)) % 0.43/0.89 (define @t204 () (@var "X4" tptp.set_Pr204296108_a_a_e)) % 0.43/0.89 (define @t205 () (@var "F" (-> tptp.set_Pr204296108_a_a_e tptp.set_set_a))) % 0.43/0.89 (define @t206 () (@var "A" tptp.set_se821189730_a_a_e)) % 0.43/0.89 (define @t207 () (@var "X4" tptp.produc715398134_a_a_e)) % 0.43/0.89 (define @t208 () (_ @t87 @t207)) % 0.43/0.89 (define @t209 () (_ tptp.member1258382221_a_a_e @t207)) % 0.43/0.89 (define @t210 () (_ @t209 @t41)) % 0.43/0.89 (define @t211 () (@list @t207)) % 0.43/0.89 (define @t212 () (@list @t87 @t41 @t34)) % 0.43/0.89 (define @t213 () (@var "AA" tptp.set_a)) % 0.43/0.89 (define @t214 () (_ (_ tptp.ord_less_eq_set_a @t213) @t51)) % 0.43/0.89 (define @t215 () (@list @t213)) % 0.43/0.89 (define @t216 () (@var "AA" tptp.set_Pr204296108_a_a_e)) % 0.43/0.89 (define @t217 () (@var "AA" tptp.set_set_a)) % 0.43/0.90 (define @t218 () (_ (_ tptp.ord_le318720350_set_a @t217) @t35)) % 0.43/0.90 (define @t219 () (@list @t217)) % 0.43/0.90 (define @t220 () (@var "AA" tptp.set_set_set_a)) % 0.43/0.90 (define @t221 () (_ (_ tptp.ord_le2103863998_set_a @t220) @t29)) % 0.43/0.90 (define @t222 () (@list @t220)) % 0.43/0.90 (define @t223 () (@var "Y" tptp.set_a)) % 0.43/0.90 (define @t224 () (_ (_ tptp.produc479206876_set_a @t20) @t223)) % 0.43/0.90 (define @t225 () (@var "P" tptp.produc1965228714_set_a)) % 0.43/0.90 (define @t226 () (@list @t20 @t223)) % 0.43/0.90 (define @t227 () (@var "Y" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t228 () (_ (_ tptp.produc1134456688_a_a_e @t7) @t227)) % 0.43/0.90 (define @t229 () (@var "P" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t230 () (= @t229 @t228)) % 0.43/0.90 (define @t231 () (@list @t7 @t227)) % 0.43/0.90 (define @t232 () (@var "B2" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t233 () (@var "A2" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t234 () (= @t233 @t232)) % 0.43/0.90 (define @t235 () (_ tptp.ord_le700723212_a_a_e @t233)) % 0.43/0.90 (define @t236 () (_ @t235 @t232)) % 0.43/0.90 (define @t237 () (_ tptp.ord_le700723212_a_a_e @t232)) % 0.43/0.90 (define @t238 () (_ @t237 @t233)) % 0.43/0.90 (define @t239 () (@var "B2" tptp.set_set_a)) % 0.43/0.90 (define @t240 () (@var "A2" tptp.set_set_a)) % 0.43/0.90 (define @t241 () (= @t240 @t239)) % 0.43/0.90 (define @t242 () (_ tptp.ord_le318720350_set_a @t240)) % 0.43/0.90 (define @t243 () (_ @t242 @t239)) % 0.43/0.90 (define @t244 () (_ tptp.ord_le318720350_set_a @t239)) % 0.43/0.90 (define @t245 () (_ @t244 @t240)) % 0.43/0.90 (define @t246 () (@var "B2" tptp.set_set_set_a)) % 0.43/0.90 (define @t247 () (@var "A2" tptp.set_set_set_a)) % 0.43/0.90 (define @t248 () (= @t247 @t246)) % 0.43/0.90 (define @t249 () (_ tptp.ord_le2103863998_set_a @t247)) % 0.43/0.90 (define @t250 () (_ @t249 @t246)) % 0.43/0.90 (define @t251 () (_ tptp.ord_le2103863998_set_a @t246)) % 0.43/0.90 (define @t252 () (_ @t251 @t247)) % 0.43/0.90 (define @t253 () (@var "B2" (-> Bool tptp.set_a))) % 0.43/0.90 (define @t254 () (@var "A2" (-> Bool tptp.set_a))) % 0.43/0.90 (define @t255 () (= @t254 @t253)) % 0.43/0.90 (define @t256 () (_ tptp.ord_less_eq_o_set_a @t254)) % 0.43/0.90 (define @t257 () (_ @t256 @t253)) % 0.43/0.90 (define @t258 () (_ tptp.ord_less_eq_o_set_a @t253)) % 0.43/0.90 (define @t259 () (_ @t258 @t254)) % 0.43/0.90 (define @t260 () (@var "A2" tptp.set_a)) % 0.43/0.90 (define @t261 () (= @t260 @t72)) % 0.43/0.90 (define @t262 () (_ tptp.ord_less_eq_set_a @t260)) % 0.43/0.90 (define @t263 () (_ @t262 @t72)) % 0.43/0.90 (define @t264 () (_ tptp.ord_less_eq_set_a @t72)) % 0.43/0.90 (define @t265 () (_ @t264 @t260)) % 0.43/0.90 (define @t266 () (@var "B3" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t267 () (@var "A3" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t268 () (_ (_ tptp.ord_le700723212_a_a_e @t267) @t266)) % 0.43/0.90 (define @t269 () (_ (_ tptp.ord_le700723212_a_a_e @t266) @t267)) % 0.43/0.90 (define @t270 () (@list @t267 @t266)) % 0.43/0.90 (define @t271 () (@var "Z" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t272 () (@var "Y2" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t273 () (lambda (@list @t272 @t271) (= @t272 @t271))) % 0.43/0.90 (define @t274 () (@var "B3" tptp.set_set_a)) % 0.43/0.90 (define @t275 () (@var "A3" tptp.set_set_a)) % 0.43/0.90 (define @t276 () (_ (_ tptp.ord_le318720350_set_a @t275) @t274)) % 0.43/0.90 (define @t277 () (_ (_ tptp.ord_le318720350_set_a @t274) @t275)) % 0.43/0.90 (define @t278 () (@list @t275 @t274)) % 0.43/0.90 (define @t279 () (@var "Z" tptp.set_set_a)) % 0.43/0.90 (define @t280 () (@var "Y2" tptp.set_set_a)) % 0.43/0.90 (define @t281 () (lambda (@list @t280 @t279) (= @t280 @t279))) % 0.43/0.90 (define @t282 () (@var "B3" tptp.set_set_set_a)) % 0.43/0.90 (define @t283 () (@var "A3" tptp.set_set_set_a)) % 0.43/0.90 (define @t284 () (_ (_ tptp.ord_le2103863998_set_a @t283) @t282)) % 0.43/0.90 (define @t285 () (_ (_ tptp.ord_le2103863998_set_a @t282) @t283)) % 0.43/0.90 (define @t286 () (@list @t283 @t282)) % 0.43/0.90 (define @t287 () (@var "Z" tptp.set_set_set_a)) % 0.43/0.90 (define @t288 () (@var "Y2" tptp.set_set_set_a)) % 0.43/0.90 (define @t289 () (lambda (@list @t288 @t287) (= @t288 @t287))) % 0.43/0.90 (define @t290 () (@var "B3" (-> Bool tptp.set_a))) % 0.43/0.90 (define @t291 () (@var "A3" (-> Bool tptp.set_a))) % 0.43/0.90 (define @t292 () (_ (_ tptp.ord_less_eq_o_set_a @t291) @t290)) % 0.43/0.90 (define @t293 () (_ (_ tptp.ord_less_eq_o_set_a @t290) @t291)) % 0.43/0.90 (define @t294 () (@list @t291 @t290)) % 0.43/0.90 (define @t295 () (@var "Z" (-> Bool tptp.set_a))) % 0.43/0.90 (define @t296 () (@var "Y2" (-> Bool tptp.set_a))) % 0.43/0.90 (define @t297 () (lambda (@list @t296 @t295) (= @t296 @t295))) % 0.43/0.90 (define @t298 () (@var "B3" tptp.set_a)) % 0.43/0.90 (define @t299 () (@var "A3" tptp.set_a)) % 0.43/0.90 (define @t300 () (_ (_ tptp.ord_less_eq_set_a @t299) @t298)) % 0.43/0.90 (define @t301 () (_ (_ tptp.ord_less_eq_set_a @t298) @t299)) % 0.43/0.90 (define @t302 () (@list @t299 @t298)) % 0.43/0.90 (define @t303 () (@var "Z" tptp.set_a)) % 0.43/0.90 (define @t304 () (@var "Y2" tptp.set_a)) % 0.43/0.90 (define @t305 () (lambda (@list @t304 @t303) (= @t304 @t303))) % 0.43/0.90 (define @t306 () (@var "C2" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t307 () (_ tptp.ord_le700723212_a_a_e @t306)) % 0.43/0.90 (define @t308 () (@var "C2" tptp.set_set_a)) % 0.43/0.90 (define @t309 () (_ tptp.ord_le318720350_set_a @t308)) % 0.43/0.90 (define @t310 () (@var "C2" tptp.set_set_set_a)) % 0.43/0.90 (define @t311 () (_ tptp.ord_le2103863998_set_a @t310)) % 0.43/0.90 (define @t312 () (@var "C2" (-> Bool tptp.set_a))) % 0.43/0.90 (define @t313 () (_ tptp.ord_less_eq_o_set_a @t312)) % 0.43/0.90 (define @t314 () (@var "C2" tptp.set_a)) % 0.43/0.90 (define @t315 () (_ tptp.ord_less_eq_set_a @t314)) % 0.43/0.90 (define @t316 () (_ @t315 @t260)) % 0.43/0.90 (define @t317 () (_ @t315 @t72)) % 0.43/0.90 (define @t318 () (@list @t260)) % 0.43/0.90 (define @t319 () (@var "Z2" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t320 () (@var "Y3" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t321 () (_ tptp.ord_le700723212_a_a_e @t320)) % 0.43/0.90 (define @t322 () (_ @t125 @t320)) % 0.43/0.90 (define @t323 () (@var "Z2" tptp.set_set_a)) % 0.43/0.90 (define @t324 () (@var "Y3" tptp.set_set_a)) % 0.43/0.90 (define @t325 () (_ tptp.ord_le318720350_set_a @t324)) % 0.43/0.90 (define @t326 () (_ @t127 @t324)) % 0.43/0.90 (define @t327 () (@var "Z2" tptp.set_set_set_a)) % 0.43/0.90 (define @t328 () (@var "Y3" tptp.set_set_set_a)) % 0.43/0.90 (define @t329 () (_ tptp.ord_le2103863998_set_a @t328)) % 0.43/0.90 (define @t330 () (_ @t129 @t328)) % 0.43/0.90 (define @t331 () (@var "Z2" (-> Bool tptp.set_a))) % 0.43/0.90 (define @t332 () (@var "Y3" (-> Bool tptp.set_a))) % 0.43/0.90 (define @t333 () (_ tptp.ord_less_eq_o_set_a @t332)) % 0.43/0.90 (define @t334 () (_ @t131 @t332)) % 0.43/0.90 (define @t335 () (@var "Z2" tptp.set_a)) % 0.43/0.90 (define @t336 () (@var "Y3" tptp.set_a)) % 0.43/0.90 (define @t337 () (_ tptp.ord_less_eq_set_a @t336)) % 0.43/0.90 (define @t338 () (_ @t132 @t336)) % 0.43/0.90 (define @t339 () (_ @t235 @t306)) % 0.43/0.90 (define @t340 () (@list @t233 @t232 @t306)) % 0.43/0.90 (define @t341 () (_ @t242 @t308)) % 0.43/0.90 (define @t342 () (@list @t240 @t239 @t308)) % 0.43/0.90 (define @t343 () (_ @t249 @t310)) % 0.43/0.90 (define @t344 () (@list @t247 @t246 @t310)) % 0.43/0.90 (define @t345 () (_ @t256 @t312)) % 0.43/0.90 (define @t346 () (@list @t254 @t253 @t312)) % 0.43/0.90 (define @t347 () (_ @t262 @t314)) % 0.43/0.90 (define @t348 () (@list @t260 @t72 @t314)) % 0.43/0.90 (define @t349 () (=> (_ @t237 @t306) @t339)) % 0.43/0.90 (define @t350 () (=> (_ @t244 @t308) @t341)) % 0.43/0.90 (define @t351 () (=> (_ @t251 @t310) @t343)) % 0.43/0.90 (define @t352 () (_ @t258 @t312)) % 0.43/0.90 (define @t353 () (=> @t352 @t345)) % 0.43/0.90 (define @t354 () (_ @t264 @t314)) % 0.43/0.90 (define @t355 () (=> @t354 @t347)) % 0.43/0.90 (define @t356 () (= @t124 @t320)) % 0.43/0.90 (define @t357 () (_ @t321 @t124)) % 0.43/0.90 (define @t358 () (= @t126 @t324)) % 0.43/0.90 (define @t359 () (_ @t325 @t126)) % 0.43/0.90 (define @t360 () (= @t128 @t328)) % 0.43/0.90 (define @t361 () (_ @t329 @t128)) % 0.43/0.90 (define @t362 () (= @t130 @t332)) % 0.43/0.90 (define @t363 () (_ @t333 @t130)) % 0.43/0.90 (define @t364 () (= @t75 @t336)) % 0.43/0.90 (define @t365 () (_ @t337 @t75)) % 0.43/0.90 (define @t366 () (@list @t124 @t320)) % 0.43/0.90 (define @t367 () (@list @t126 @t324)) % 0.43/0.90 (define @t368 () (@list @t128 @t328)) % 0.43/0.90 (define @t369 () (@list @t130 @t332)) % 0.43/0.90 (define @t370 () (@list @t75 @t336)) % 0.43/0.90 (define @t371 () (@var "Y4" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t372 () (@var "X4" tptp.set_set_a)) % 0.43/0.90 (define @t373 () (@var "Y4" tptp.set_set_a)) % 0.43/0.90 (define @t374 () (@var "X4" tptp.set_set_set_a)) % 0.43/0.90 (define @t375 () (@var "Y4" tptp.set_set_set_a)) % 0.43/0.90 (define @t376 () (@var "X4" (-> Bool tptp.set_a))) % 0.43/0.90 (define @t377 () (@var "Y4" (-> Bool tptp.set_a))) % 0.43/0.90 (define @t378 () (@var "Y4" tptp.set_a)) % 0.43/0.90 (define @t379 () (_ @t69 @t260)) % 0.43/0.90 (define @t380 () (_ (_ tptp.ord_less_eq_set_a @t7) @t223)) % 0.43/0.90 (define @t381 () (@list @t7 @t223)) % 0.43/0.90 (define @t382 () (forall @t381 (=> @t380 (_ (_ tptp.ord_less_eq_set_a @t156) (_ @t69 @t223))))) % 0.43/0.90 (define @t383 () (=> @t382 (_ (_ tptp.ord_less_eq_set_a @t379) @t314))) % 0.43/0.90 (define @t384 () (_ @t69 @t72)) % 0.43/0.90 (define @t385 () (@list @t260 @t72 @t69 @t314)) % 0.43/0.90 (define @t386 () (@var "Y" tptp.set_set_a)) % 0.43/0.90 (define @t387 () (_ (_ tptp.ord_le318720350_set_a @t31) @t386)) % 0.43/0.90 (define @t388 () (@list @t31 @t386)) % 0.43/0.90 (define @t389 () (@var "F" (-> tptp.set_a tptp.set_set_set_a))) % 0.43/0.90 (define @t390 () (@var "F" (-> tptp.set_a Bool tptp.set_a))) % 0.43/0.90 (define @t391 () (@var "F" (-> tptp.set_set_set_a tptp.set_a))) % 0.43/0.90 (define @t392 () (@var "Y" tptp.set_set_set_a)) % 0.43/0.90 (define @t393 () (@var "X2" tptp.set_set_set_a)) % 0.43/0.90 (define @t394 () (@var "F" (-> (-> Bool tptp.set_a) tptp.set_a))) % 0.43/0.90 (define @t395 () (@var "Y" (-> Bool tptp.set_a))) % 0.43/0.90 (define @t396 () (@var "X2" (-> Bool tptp.set_a))) % 0.43/0.90 (define @t397 () (_ (_ tptp.ord_less_eq_o_set_a @t396) @t395)) % 0.43/0.90 (define @t398 () (@list @t396 @t395)) % 0.43/0.90 (define @t399 () (@var "F" (-> tptp.set_set_a tptp.set_set_set_a))) % 0.43/0.90 (define @t400 () (@var "F" (-> tptp.set_set_a Bool tptp.set_a))) % 0.43/0.90 (define @t401 () (@var "F" (-> (-> Bool tptp.set_a) tptp.set_Pr204296108_a_a_e))) % 0.43/0.90 (define @t402 () (@var "F" (-> (-> Bool tptp.set_a) tptp.set_set_a))) % 0.43/0.90 (define @t403 () (@var "F" (-> (-> Bool tptp.set_a) tptp.set_set_set_a))) % 0.43/0.90 (define @t404 () (@var "F" (-> (-> Bool tptp.set_a) Bool tptp.set_a))) % 0.43/0.90 (define @t405 () (=> @t354 (=> @t382 (_ @t262 (_ @t69 @t314))))) % 0.43/0.90 (define @t406 () (@list @t260 @t69 @t72 @t314)) % 0.43/0.90 (define @t407 () (@var "P2" (-> tptp.set_a Bool))) % 0.43/0.90 (define @t408 () (_ tptp.member_set_a @t260)) % 0.43/0.90 (define @t409 () (@var "A2" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t410 () (@var "P2" (-> tptp.produc715398134_a_a_e Bool))) % 0.43/0.90 (define @t411 () (_ tptp.member1258382221_a_a_e @t409)) % 0.43/0.90 (define @t412 () (@list @t35)) % 0.43/0.90 (define @t413 () (@list @t41)) % 0.43/0.90 (define @t414 () (_ @t407 @t7)) % 0.43/0.90 (define @t415 () (@list @t87 @t41 @t407)) % 0.43/0.90 (define @t416 () (@var "N" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t417 () (@var "G" (-> tptp.produc715398134_a_a_e tptp.set_a))) % 0.43/0.90 (define @t418 () (_ tptp.image_64240033_set_a @t417)) % 0.43/0.90 (define @t419 () (@var "M" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t420 () (@var "X" tptp.set_a)) % 0.43/0.90 (define @t421 () (_ tptp.member_set_a @t335)) % 0.43/0.90 (define @t422 () (_ tptp.member_set_a @t94)) % 0.43/0.90 (define @t423 () (@var "Q" (-> tptp.a Bool))) % 0.43/0.90 (define @t424 () (@var "P2" (-> tptp.a Bool))) % 0.43/0.90 (define @t425 () (_ (_ tptp.ord_less_eq_set_a (_ tptp.collect_a @t424)) (_ tptp.collect_a @t423))) % 0.43/0.90 (define @t426 () (@list @t424 @t423)) % 0.43/0.90 (define @t427 () (@var "A4" tptp.set_a)) % 0.43/0.90 (define @t428 () (@var "B4" tptp.set_a)) % 0.43/0.90 (define @t429 () (_ tptp.ord_less_eq_set_a @t428)) % 0.43/0.90 (define @t430 () (@list @t427 @t428)) % 0.43/0.90 (define @t431 () (@var "C3" tptp.set_a)) % 0.43/0.90 (define @t432 () (@var "B4" tptp.set_set_a)) % 0.43/0.90 (define @t433 () (@var "A4" tptp.set_set_a)) % 0.43/0.90 (define @t434 () (@list @t433 @t432)) % 0.43/0.90 (define @t435 () (@var "B4" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t436 () (@var "A4" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t437 () (@list @t436 @t435)) % 0.43/0.90 (define @t438 () (_ tptp.member_set_a @t314)) % 0.43/0.90 (define @t439 () (@var "C2" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t440 () (_ tptp.member1258382221_a_a_e @t439)) % 0.43/0.90 (define @t441 () (@var "C2" tptp.a)) % 0.43/0.90 (define @t442 () (_ tptp.member_a @t441)) % 0.43/0.90 (define @t443 () (_ @t76 @t34)) % 0.43/0.90 (define @t444 () (@list @t35 @t34 @t75)) % 0.43/0.90 (define @t445 () (_ @t92 @t40)) % 0.43/0.90 (define @t446 () (@list @t41 @t40 @t91)) % 0.43/0.90 (define @t447 () (_ @t107 @t50)) % 0.43/0.90 (define @t448 () (@list @t51 @t50 @t106)) % 0.43/0.90 (define @t449 () (@var "Y22" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t450 () (@var "X22" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t451 () (@var "Y1" tptp.set_a)) % 0.43/0.90 (define @t452 () (@var "X1" tptp.set_a)) % 0.43/0.90 (define @t453 () (_ (_ tptp.produc1134456688_a_a_e @t452) @t450)) % 0.43/0.90 (define @t454 () (@var "B5" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t455 () (= @t117 @t454)) % 0.43/0.90 (define @t456 () (@var "A5" tptp.set_a)) % 0.43/0.90 (define @t457 () (= @t260 @t456)) % 0.43/0.90 (define @t458 () (_ tptp.produc1134456688_a_a_e @t260)) % 0.43/0.90 (define @t459 () (_ @t458 @t117)) % 0.43/0.90 (define @t460 () (= @t459 (_ (_ tptp.produc1134456688_a_a_e @t456) @t454))) % 0.43/0.90 (define @t461 () (@list @t260 @t117 @t456 @t454)) % 0.43/0.90 (define @t462 () (@var "B3" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t463 () (_ tptp.produc1040928388_a_a_e @t229)) % 0.43/0.90 (define @t464 () (@list @t452 @t450)) % 0.43/0.90 (define @t465 () (@var "Y3" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t466 () (_ (_ tptp.produc1134456688_a_a_e @t75) @t465)) % 0.43/0.90 (define @t467 () (_ tptp.produc1040928388_a_a_e @t466)) % 0.43/0.90 (define @t468 () (_ tptp.produc1040928388_a_a_e @t91)) % 0.43/0.90 (define @t469 () (@var "Z2" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t470 () (_ tptp.produc1134456688_a_a_e @t336)) % 0.43/0.90 (define @t471 () (= @t91 (_ @t470 @t469))) % 0.43/0.90 (define @t472 () (@list @t91 @t336 @t469)) % 0.43/0.90 (define @t473 () (@var "P2" (-> tptp.set_set_a Bool))) % 0.43/0.90 (define @t474 () (@list @t428)) % 0.43/0.90 (define @t475 () (_ tptp.order_Greatest_set_a @t407)) % 0.43/0.90 (define @t476 () (forall (@list @t223) (=> (_ @t407 @t223) (_ (_ tptp.ord_less_eq_set_a @t223) @t75)))) % 0.43/0.90 (define @t477 () (_ @t407 @t75)) % 0.43/0.90 (define @t478 () (@var "Q" (-> tptp.set_a Bool))) % 0.43/0.90 (define @t479 () (@var "Y5" tptp.set_a)) % 0.43/0.90 (define @t480 () (@var "Prod" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t481 () (@var "B6" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t482 () (@var "A6" tptp.set_a)) % 0.43/0.90 (define @t483 () (_ tptp.produc1134456688_a_a_e @t482)) % 0.43/0.90 (define @t484 () (_ @t483 @t481)) % 0.43/0.90 (define @t485 () (@list @t482 @t481)) % 0.43/0.90 (define @t486 () (forall @t485 (_ @t410 @t484))) % 0.43/0.90 (define @t487 () (@var "Y3" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t488 () (_ tptp.image_1441218763_set_a @t88)) % 0.43/0.90 (define @t489 () (_ tptp.member_set_a @t482)) % 0.43/0.90 (define @t490 () (@list @t482)) % 0.43/0.90 (define @t491 () (not @t36)) % 0.43/0.90 (define @t492 () (@var "A6" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t493 () (_ tptp.member1258382221_a_a_e @t492)) % 0.43/0.90 (define @t494 () (not @t43)) % 0.43/0.90 (define @t495 () (@var "A6" tptp.a)) % 0.43/0.90 (define @t496 () (_ tptp.member_a @t495)) % 0.43/0.90 (define @t497 () (not @t53)) % 0.43/0.90 (define @t498 () (or @t36 @t64)) % 0.43/0.90 (define @t499 () (or @t43 @t61)) % 0.43/0.90 (define @t500 () (or @t53 @t68)) % 0.43/0.90 (define @t501 () (_ @t408 @t35)) % 0.43/0.90 (define @t502 () (=> @t501 (_ (_ tptp.member_set_a @t379) @t71))) % 0.43/0.90 (define @t503 () (=> @t501 (_ (_ tptp.member1258382221_a_a_e (_ @t80 @t260)) @t81))) % 0.43/0.90 (define @t504 () (_ @t411 @t41)) % 0.43/0.90 (define @t505 () (=> @t504 (_ (_ tptp.member_set_a (_ @t87 @t409)) @t89))) % 0.43/0.90 (define @t506 () (=> @t504 (_ (_ tptp.member1258382221_a_a_e (_ @t96 @t409)) @t97))) % 0.43/0.90 (define @t507 () (not @t62)) % 0.43/0.90 (define @t508 () (not @t77)) % 0.43/0.90 (define @t509 () (not @t60)) % 0.43/0.90 (define @t510 () (not @t93)) % 0.43/0.90 (define @t511 () (not @t66)) % 0.43/0.90 (define @t512 () (not @t108)) % 0.43/0.90 (define @t513 () (exists @t16 (and @t38 (not @t37)))) % 0.43/0.90 (define @t514 () (exists @t48 (and @t47 (not @t46)))) % 0.43/0.90 (define @t515 () (exists @t58 (and @t57 (not @t56)))) % 0.43/0.90 (define @t516 () (@list @t51)) % 0.43/0.90 (define @t517 () (_ tptp.pow_set_a @t34)) % 0.43/0.90 (define @t518 () (_ @t488 (_ tptp.pow_Pr328302361_a_a_e @t41))) % 0.43/0.90 (define @t519 () (@var "D" (-> tptp.produc715398134_a_a_e tptp.set_a))) % 0.43/0.90 (define @t520 () (_ (_ tptp.image_64240033_set_a @t519) @t40)) % 0.43/0.90 (define @t521 () (@var "Sup" (-> tptp.set_set_a tptp.set_a))) % 0.43/0.90 (define @t522 () (@var "C3" (-> tptp.produc715398134_a_a_e tptp.set_a))) % 0.43/0.90 (define @t523 () (_ (_ tptp.image_64240033_set_a @t522) @t41)) % 0.43/0.90 (define @t524 () (forall @t48 (=> @t46 (= (_ @t522 @t44) (_ @t519 @t44))))) % 0.43/0.90 (define @t525 () (@var "Inf" (-> tptp.set_set_a tptp.set_a))) % 0.43/0.90 (define @t526 () (@var "S" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t527 () (@var "R" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t528 () (_ tptp.member1258382221_a_a_e @t228)) % 0.43/0.90 (define @t529 () (_ @t528 @t527)) % 0.43/0.90 (define @t530 () (@var "R2" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t531 () (@var "S2" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t532 () (@var "R" tptp.set_a)) % 0.43/0.90 (define @t533 () (_ tptp.produc1134456688_a_a_e @t532)) % 0.43/0.90 (define @t534 () (@var "S" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t535 () (_ tptp.pow_a @t50)) % 0.43/0.90 (define @t536 () (_ tptp.member_set_a @t51)) % 0.43/0.90 (define @t537 () (_ @t536 @t535)) % 0.43/0.90 (define @t538 () (_ tptp.pow_a @t51)) % 0.43/0.90 (define @t539 () (@var "F" (-> tptp.produc715398134_a_a_e Bool))) % 0.43/0.90 (define @t540 () (_ (_ (_ tptp.produc952037978_a_e_o @t539) @t260) @t117)) % 0.43/0.90 (define @t541 () (_ @t539 @t459)) % 0.43/0.90 (define @t542 () (@list @t539 @t260 @t117)) % 0.43/0.90 (define @t543 () (_ tptp.range_set_a_a_e @t527)) % 0.43/0.90 (define @t544 () (_ @t118 @t543)) % 0.43/0.90 (define @t545 () (@var "A2" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t546 () (@list @t378)) % 0.43/0.90 (define @t547 () (_ (_ tptp.member_a_e @t545) @t543)) % 0.43/0.90 (define @t548 () (@list @t545 @t527)) % 0.43/0.90 (define @t549 () (_ tptp.produc1134456688_a_a_e @t299)) % 0.43/0.90 (define @t550 () (_ (_ tptp.member1258382221_a_a_e (_ @t549 @t462)) @t527)) % 0.43/0.90 (define @t551 () (@list @t299 @t462)) % 0.43/0.90 (define @t552 () (_ tptp.member1258382221_a_a_e @t459)) % 0.43/0.90 (define @t553 () (_ @t552 @t527)) % 0.43/0.90 (define @t554 () (@list @t260 @t117 @t527)) % 0.43/0.90 (define @t555 () (@var "P2" (-> (-> tptp.a tptp.e) Bool))) % 0.43/0.90 (define @t556 () (_ (_ tptp.member1258382221_a_a_e @t484) @t527)) % 0.43/0.90 (define @t557 () (_ tptp.domain_set_a_a_e @t527)) % 0.43/0.90 (define @t558 () (_ @t408 @t557)) % 0.43/0.90 (define @t559 () (@list @t260 @t527)) % 0.43/0.90 (define @t560 () (@var "Y4" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t561 () (_ (_ tptp.produc479206876_set_a @t465) @t75)) % 0.43/0.90 (define @t562 () (_ (_ tptp.produc479206876_set_a @t121) @t336)) % 0.43/0.90 (define @t563 () (_ @t470 @t121)) % 0.43/0.90 (define @t564 () (_ tptp.produc1134456688_a_a_e @t72)) % 0.43/0.90 (define @t565 () (_ tptp.member1258382221_a_a_e (_ @t564 @t545))) % 0.43/0.90 (define @t566 () (_ @t565 @t527)) % 0.43/0.90 (define @t567 () (_ tptp.converse_set_a_a_e @t527)) % 0.43/0.90 (define @t568 () (_ tptp.member360729153_set_a (_ (_ tptp.produc479206876_set_a @t545) @t72))) % 0.43/0.90 (define @t569 () (_ @t568 @t567)) % 0.43/0.90 (define @t570 () (@list @t545 @t72 @t527)) % 0.43/0.90 (define @t571 () (@var "R" tptp.set_Pr305929312_set_a)) % 0.43/0.90 (define @t572 () (_ tptp.member360729153_set_a (_ (_ tptp.produc479206876_set_a @t117) @t260))) % 0.43/0.90 (define @t573 () (_ @t572 @t571)) % 0.43/0.90 (define @t574 () (_ tptp.converse_a_e_set_a @t571)) % 0.43/0.90 (define @t575 () (_ @t552 @t574)) % 0.43/0.90 (define @t576 () (@list @t260 @t117 @t571)) % 0.43/0.90 (define @t577 () (@var "X22" tptp.set_a)) % 0.43/0.90 (define @t578 () (@var "X1" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t579 () (@var "P2" (-> (-> tptp.a tptp.e) tptp.set_a Bool))) % 0.43/0.90 (define @t580 () (@var "P2" (-> tptp.set_a (-> tptp.a tptp.e) Bool))) % 0.43/0.90 (define @t581 () (@var "A6" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t582 () (@var "B6" tptp.set_a)) % 0.43/0.90 (define @t583 () (@var "A22" tptp.set_a)) % 0.43/0.90 (define @t584 () (@var "A1" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t585 () (_ (_ tptp.member360729153_set_a (_ (_ tptp.produc479206876_set_a @t584) @t583)) @t567)) % 0.43/0.90 (define @t586 () (@list @t584 @t583 @t527)) % 0.43/0.90 (define @t587 () (@var "A3" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t588 () (@var "A22" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t589 () (@var "A1" tptp.set_a)) % 0.43/0.90 (define @t590 () (_ (_ tptp.member1258382221_a_a_e (_ (_ tptp.produc1134456688_a_a_e @t589) @t588)) @t574)) % 0.43/0.90 (define @t591 () (@list @t589 @t588 @t571)) % 0.43/0.90 (define @t592 () (@var "Yx" tptp.produc1965228714_set_a)) % 0.43/0.90 (define @t593 () (@var "Yx" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t594 () (@var "G" (-> (-> tptp.a tptp.e) tptp.a tptp.e))) % 0.43/0.90 (define @t595 () (_ (_ tptp.produc1443219402_e_a_e @t69) @t594)) % 0.43/0.90 (define @t596 () (_ (_ tptp.image_625620211_a_a_e @t595) @t530)) % 0.43/0.90 (define @t597 () (_ (_ tptp.produc1134456688_a_a_e @t379) (_ @t594 @t117))) % 0.43/0.90 (define @t598 () (@list @t91)) % 0.43/0.90 (define @t599 () (_ tptp.produc317566658_a_a_e @t480)) % 0.43/0.90 (define @t600 () (_ tptp.produc1040928388_a_a_e @t480)) % 0.43/0.90 (define @t601 () (_ (_ tptp.produc1134456688_a_a_e @t600) @t599)) % 0.43/0.90 (define @t602 () (@list @t480)) % 0.43/0.90 (define @t603 () (@var "X3" tptp.produc1965228714_set_a)) % 0.43/0.90 (define @t604 () (_ @t88 tptp.top_to1601855068_a_a_e)) % 0.43/0.90 (define @t605 () (= @t604 tptp.top_top_set_set_a)) % 0.43/0.90 (define @t606 () (= (_ @t418 tptp.top_to1601855068_a_a_e) tptp.top_top_set_set_a)) % 0.43/0.90 (define @t607 () (= @t336 @t163)) % 0.43/0.90 (define @t608 () (@list @t87 @t336)) % 0.43/0.90 (define @t609 () (= @t260 tptp.top_top_set_a)) % 0.43/0.90 (define @t610 () (_ (_ tptp.ord_less_eq_set_a tptp.top_top_set_a) @t260)) % 0.43/0.90 (define @t611 () (_ tptp.produc317566658_a_a_e @t91)) % 0.43/0.90 (define @t612 () (_ tptp.produc317566658_a_a_e @t466)) % 0.43/0.90 (define @t613 () (_ tptp.produc317566658_a_a_e @t229)) % 0.43/0.90 (define @t614 () (@var "T" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t615 () (@var "S3" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t616 () (@var "Z" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t617 () (@var "Y2" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t618 () (@var "Prod2" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t619 () (@var "Q2" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t620 () (@var "T2" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t621 () (@var "Q2" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t622 () (@var "P" tptp.set_a)) % 0.43/0.90 (define @t623 () (_ (_ tptp.produc1134456688_a_a_e @t622) @t621)) % 0.43/0.90 (define @t624 () (@var "Q" (-> (-> tptp.a tptp.e) Bool))) % 0.43/0.90 (define @t625 () (@var "Q" (-> tptp.set_a (-> tptp.a tptp.e) Bool))) % 0.43/0.90 (define @t626 () (_ tptp.collec1369693387_a_a_e (_ tptp.produc1341862587_a_e_o @t625))) % 0.43/0.90 (define @t627 () (_ tptp.collec1369693387_a_a_e (_ tptp.produc1341862587_a_e_o @t580))) % 0.43/0.90 (define @t628 () (@var "Xa2" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t629 () (@var "Y7" tptp.set_a_e)) % 0.43/0.90 (define @t630 () (@var "X6" tptp.set_set_a)) % 0.43/0.90 (define @t631 () (@var "A" (-> tptp.set_a (-> tptp.a tptp.e) Bool))) % 0.43/0.90 (define @t632 () (@var "C2" (-> tptp.set_a (-> tptp.a tptp.e) tptp.set_set_a))) % 0.43/0.90 (define @t633 () (@var "C2" (-> tptp.set_a (-> tptp.a tptp.e) tptp.set_Pr204296108_a_a_e))) % 0.43/0.90 (define @t634 () (@var "Z2" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t635 () (_ tptp.member1258382221_a_a_e @t634)) % 0.43/0.90 (define @t636 () (@var "Ac2" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t637 () (@var "Q" (-> (-> tptp.a tptp.e) (-> tptp.a tptp.e) Bool))) % 0.43/0.90 (define @t638 () (_ tptp.member1258382221_a_a_e @t636)) % 0.43/0.90 (define @t639 () (@var "P2" (-> tptp.set_a tptp.set_a Bool))) % 0.43/0.90 (define @t640 () (@var "G" (-> tptp.set_a tptp.a tptp.e))) % 0.43/0.90 (define @t641 () (@var "C2" (-> tptp.a tptp.e))) % 0.43/0.90 (define @t642 () (_ tptp.member1258382221_a_a_e (_ @t564 @t641))) % 0.43/0.90 (define @t643 () (@var "G" (-> tptp.produc715398134_a_a_e tptp.a tptp.e))) % 0.43/0.90 (define @t644 () (@var "A7" tptp.set_a)) % 0.43/0.90 (define @t645 () (=> (_ @t8 @t644) tptp.thesis)) % 0.43/0.90 (define @t646 () (=> (_ @t9 @t644) @t645)) % 0.43/0.90 (define @t647 () (=> (_ @t10 @t644) @t646)) % 0.43/0.90 (define @t648 () (_ tptp.member_set_a @t644)) % 0.43/0.90 (define @t649 () (_ @t648 @t12)) % 0.43/0.90 (define @t650 () (=> @t649 @t647)) % 0.43/0.90 (define @t651 () (@list @t644)) % 0.43/0.90 (define @t652 () (forall @t651 @t650)) % 0.43/0.90 (define @t653 () (@var "T" tptp.set_a)) % 0.43/0.90 (define @t654 () (_ tptp.member_set_a @t653)) % 0.43/0.90 (define @t655 () (lambda @t434 (forall (@list @t653) (=> (_ @t654 @t433) (_ @t654 @t432))))) % 0.43/0.90 (define @t656 () (_ tptp.member1258382221_a_a_e @t614)) % 0.43/0.90 (define @t657 () (lambda @t437 (forall (@list @t614) (=> (_ @t656 @t436) (_ @t656 @t435))))) % 0.43/0.90 (define @t658 () (@var "T" tptp.a)) % 0.43/0.90 (define @t659 () (_ tptp.member_a @t658)) % 0.43/0.90 (define @t660 () (_ @t659 @t428)) % 0.43/0.90 (define @t661 () (_ @t659 @t427)) % 0.43/0.90 (define @t662 () (@list @t658)) % 0.43/0.90 (define @t663 () (forall @t662 (=> @t661 @t660))) % 0.43/0.90 (define @t664 () (lambda @t430 @t663)) % 0.43/0.90 (define @t665 () (@var "Y6" (-> Bool tptp.set_a))) % 0.43/0.90 (define @t666 () (@var "X5" (-> Bool tptp.set_a))) % 0.43/0.90 (define @t667 () (lambda (@list @t666 @t665) (and (_ (_ tptp.ord_less_eq_set_a (_ @t666 false)) (_ @t665 false)) (_ (_ tptp.ord_less_eq_set_a (_ @t666 true)) (_ @t665 true))))) % 0.43/0.90 (define @t668 () (@var "P3" tptp.produc1965228714_set_a)) % 0.43/0.90 (define @t669 () (lambda (@list @t668) (_ (_ tptp.produc1134456688_a_a_e (_ tptp.produc1809800494_set_a @t668)) (_ tptp.produc385678576_set_a @t668)))) % 0.43/0.90 (define @t670 () (@var "P3" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t671 () (lambda (@list @t670) (_ (_ tptp.produc479206876_set_a (_ tptp.produc317566658_a_a_e @t670)) (_ tptp.produc1040928388_a_a_e @t670)))) % 0.43/0.90 (define @t672 () (lambda @t200 (_ @t198 tptp.top_top_set_set_a))) % 0.43/0.90 (define @t673 () (lambda @t211 (_ @t209 tptp.top_to1601855068_a_a_e))) % 0.43/0.90 (define @t674 () (@var "Ac" tptp.produc715398134_a_a_e)) % 0.43/0.90 (define @t675 () (_ tptp.produc317566658_a_a_e @t674)) % 0.43/0.90 (define @t676 () (_ tptp.produc1040928388_a_a_e @t674)) % 0.43/0.90 (define @t677 () (@var "Q3" (-> tptp.set_a (-> tptp.a tptp.e) Bool))) % 0.43/0.90 (define @t678 () (@var "P4" (-> tptp.set_a tptp.set_a Bool))) % 0.43/0.90 (define @t679 () (lambda (@list @t678 @t677 @t674) (_ (_ tptp.produc1134456688_a_a_e (_ (_ (_ (_ tptp.bNF_pi929741261_a_a_e @t678) @t677) @t676) @t675)) @t675))) % 0.43/0.90 (define @t680 () (@var "Q3" (-> (-> tptp.a tptp.e) (-> tptp.a tptp.e) Bool))) % 0.43/0.90 (define @t681 () (@var "P4" (-> tptp.set_a (-> tptp.a tptp.e) Bool))) % 0.43/0.90 (define @t682 () (lambda (@list @t681 @t680 @t674) (_ (_ tptp.produc1134456688_a_a_e @t676) (_ (_ (_ (_ tptp.bNF_pi1175744974_e_a_e @t681) @t680) @t676) @t675)))) % 0.43/0.90 (define @t683 () (@var "R3" tptp.set_Pr204296108_a_a_e)) % 0.43/0.90 (define @t684 () (lambda (@list @t683 @t197 @t560) (_ (_ tptp.member1258382221_a_a_e (_ (_ tptp.produc1134456688_a_a_e @t197) @t560)) @t683))) % 0.43/0.90 (define @t685 () (tptp.member_a @t658 @t7)) % 0.43/0.90 (define @t686 () (not (tptp.member_a @t658 tptp.a3))) % 0.43/0.90 (define @t687 () (forall @t662 (or @t686 @t685))) % 0.43/0.90 (define @t688 () (not @t687)) % 0.43/0.90 (define @t689 () (not (tptp.member_a @t658 tptp.a2))) % 0.43/0.90 (define @t690 () (forall @t662 (or @t689 @t685))) % 0.43/0.90 (define @t691 () (not @t690)) % 0.43/0.90 (define @t692 () (not (tptp.member_a @t658 tptp.a1))) % 0.43/0.90 (define @t693 () (forall @t662 (or @t692 @t685))) % 0.43/0.90 (define @t694 () (not @t693)) % 0.43/0.90 (define @t695 () (tptp.image_64240033_set_a tptp.produc1040928388_a_a_e tptp.c)) % 0.43/0.90 (define @t696 () (tptp.member_set_a @t7 @t695)) % 0.43/0.90 (define @t697 () (not @t14)) % 0.43/0.90 (define @t698 () (or @t697 @t694 @t691 @t688)) % 0.43/0.90 (define @t699 () (and @t14 @t693 @t690 @t687)) % 0.43/0.90 (define @t700 () (forall @t16 (not @t699))) % 0.43/0.90 (define @t701 () (not @t700)) % 0.43/0.90 (define @t702 () (tptp.member_a @t658 @t428)) % 0.43/0.90 (define @t703 () (lambda @t474 (forall @t662 (or @t686 @t702)))) % 0.43/0.90 (define @t704 () (tptp.member_a @t658 @t427)) % 0.43/0.90 (define @t705 () (lambda @t430 (forall @t662 (or (not @t704) @t702)))) % 0.43/0.90 (define @t706 () (_ @t705 tptp.a3)) % 0.43/0.90 (define @t707 () (lambda @t474 (forall @t662 (or @t689 @t702)))) % 0.43/0.90 (define @t708 () (_ @t705 tptp.a2)) % 0.43/0.90 (define @t709 () (lambda @t474 (forall @t662 (or @t692 @t702)))) % 0.43/0.90 (define @t710 () (_ @t705 tptp.a1)) % 0.43/0.90 (define @t711 () (and @t14 (_ @t710 @t7) (_ @t708 @t7) (_ @t706 @t7))) % 0.43/0.90 (define @t712 () (not @t661)) % 0.43/0.90 (define @t713 () (or @t712 @t660)) % 0.43/0.90 (define @t714 () (@var "BOUND_VARIABLE_23871" tptp.set_a)) % 0.43/0.90 (define @t715 () (@var "BOUND_VARIABLE_23870" tptp.a)) % 0.43/0.90 (define @t716 () (tptp.member_a @t715 @t714)) % 0.43/0.90 (define @t717 () (@list @t715)) % 0.43/0.90 (define @t718 () (@list @t715 @t714)) % 0.43/0.90 (define @t719 () (forall @t16 (or (not @t696) @t694 @t691 @t688))) % 0.43/0.90 (define @t720 () (tptp.member_a @t658 @t644)) % 0.43/0.90 (define @t721 () (forall @t662 (or @t686 @t720))) % 0.43/0.90 (define @t722 () (not @t721)) % 0.43/0.90 (define @t723 () (forall @t662 (or @t689 @t720))) % 0.43/0.90 (define @t724 () (not @t723)) % 0.43/0.90 (define @t725 () (forall @t662 (or @t692 @t720))) % 0.43/0.90 (define @t726 () (not @t725)) % 0.43/0.90 (define @t727 () (tptp.member_set_a @t644 @t695)) % 0.43/0.90 (define @t728 () (forall @t651 (or (not @t727) @t726 @t724 @t722))) % 0.43/0.90 (define @t729 () (@list true)) % 0.43/0.90 (define @t730 () (not @t649)) % 0.43/0.90 (define @t731 () (or @t730 @t726 @t724 @t722)) % 0.43/0.90 (define @t732 () (forall @t651 @t731)) % 0.43/0.90 (define @t733 () (or tptp.thesis @t732)) % 0.43/0.90 (define @t734 () (or tptp.thesis @t731)) % 0.43/0.90 (define @t735 () (or @t730 @t726 @t724 @t722 tptp.thesis)) % 0.43/0.90 (define @t736 () (or @t726 @t724 @t722 tptp.thesis)) % 0.43/0.90 (define @t737 () (or @t724 @t722 tptp.thesis)) % 0.43/0.90 (define @t738 () (=> @t721 tptp.thesis)) % 0.43/0.90 (define @t739 () (=> @t723 @t738)) % 0.43/0.90 (define @t740 () (=> @t725 @t739)) % 0.43/0.90 (define @t741 () (=> (_ @t706 @t644) tptp.thesis)) % 0.43/0.90 (define @t742 () (=> (_ @t708 @t644) @t741)) % 0.43/0.90 (define @t743 () (=> (_ @t710 @t644) @t742)) % 0.43/0.90 (define @t744 () (=> @t649 @t743)) % 0.43/0.90 (assume @p1 (forall @t6 (=> (_ @t5 tptp.c) (forall (@list @t3) (=> (_ (_ tptp.member1258382221_a_a_e @t3) tptp.c) (or (_ (_ tptp.ord_less_eq_set_a @t2) @t4) (_ (_ tptp.ord_less_eq_set_a @t4) @t2))))))) % 0.43/0.90 (assume @p2 @t17) % 0.43/0.90 (assume @p3 (or (_ @t10 tptp.a2) (_ @t9 tptp.a1))) % 0.43/0.90 (assume @p4 (or (_ @t10 tptp.a3) (_ @t8 tptp.a1))) % 0.43/0.90 (assume @p5 (or (_ @t9 tptp.a3) (_ @t8 tptp.a2))) % 0.43/0.90 (assume @p6 (_ (_ tptp.member_set_a tptp.a3) @t12)) % 0.43/0.90 (assume @p7 (_ (_ tptp.member_set_a tptp.a2) @t12)) % 0.43/0.90 (assume @p8 (_ (_ tptp.member_set_a tptp.a1) @t12)) % 0.43/0.90 (assume @p9 (_ (_ tptp.member1258382221_a_a_e (_ (_ tptp.produc1134456688_a_a_e tptp.a1) tptp.b1)) tptp.c)) % 0.43/0.90 (assume @p10 (_ (_ tptp.member1258382221_a_a_e (_ (_ tptp.produc1134456688_a_a_e tptp.a2) tptp.b2)) tptp.c)) % 0.43/0.90 (assume @p11 (_ (_ tptp.member1258382221_a_a_e (_ (_ tptp.produc1134456688_a_a_e tptp.a3) tptp.b3)) tptp.c)) % 0.43/0.90 (assume @p12 (forall (@list @t19 @t18) (=> (forall @t23 (=> @t22 (_ @t21 @t18))) (_ (_ tptp.ord_less_eq_set_a_e @t19) @t18)))) % 0.43/0.90 (assume @p13 (forall (@list @t25 @t24) (=> (forall (@list @t26) (=> (_ @t27 @t25) (_ @t27 @t24))) (_ (_ tptp.ord_le802356416_set_a @t25) @t24)))) % 0.43/0.90 (assume @p14 (forall @t33 (=> (forall (@list @t31) (=> (_ @t32 @t29) (_ @t32 @t28))) @t30))) % 0.43/0.90 (assume @p15 (forall @t39 (=> (forall @t16 (=> @t38 @t37)) @t36))) % 0.43/0.90 (assume @p16 (forall @t49 (=> (forall @t48 (=> @t47 @t46)) @t43))) % 0.43/0.90 (assume @p17 (forall @t59 (=> (forall @t58 (=> @t57 @t56)) @t53))) % 0.43/0.90 (assume @p18 (forall @t49 (=> @t43 (=> @t61 @t60)))) % 0.43/0.90 (assume @p19 (forall @t39 (=> @t36 (=> @t64 @t62)))) % 0.43/0.90 (assume @p20 (forall @t33 (=> @t30 (=> (_ @t65 @t29) (= @t29 @t28))))) % 0.43/0.90 (assume @p21 (forall @t59 (=> @t53 (=> @t68 @t66)))) % 0.43/0.90 (assume @p22 (forall (@list @t72 @t69 @t75 @t35) (=> @t79 (=> @t77 @t74)))) % 0.43/0.90 (assume @p23 (forall (@list @t82 @t80 @t75 @t35) (=> @t86 (=> @t77 @t84)))) % 0.43/0.90 (assume @p24 (forall (@list @t72 @t87 @t91 @t41) (=> @t95 (=> @t93 @t90)))) % 0.43/0.90 (assume @p25 (forall (@list @t82 @t96 @t91 @t41) (=> @t100 (=> @t93 @t98)))) % 0.43/0.90 (assume @p26 (forall (@list @t104 @t101 @t106 @t51) (=> (= @t104 (_ @t101 @t106)) (=> @t108 (_ @t105 @t103))))) % 0.43/0.90 (assume @p27 (forall (@list @t104 @t109 @t75 @t35) (=> (= @t104 (_ @t109 @t75)) (=> @t77 (_ @t105 @t111))))) % 0.43/0.90 (assume @p28 (forall (@list @t72 @t112 @t106 @t51) (=> (= @t72 (_ @t112 @t106)) (=> @t108 (_ @t73 @t114))))) % 0.43/0.90 (assume @p29 (forall (@list @t117 @t115 @t106 @t51) (=> (= @t117 (_ @t115 @t106)) (=> @t108 (_ @t118 @t116))))) % 0.43/0.90 (assume @p30 (forall (@list @t104 @t119 @t121 @t19) (=> (= @t104 (_ @t119 @t121)) (=> (_ @t122 @t19) (_ @t105 @t120))))) % 0.43/0.90 (assume @p31 (forall (@list @t117 @t123 @t75 @t35) (=> (= @t117 (_ @t123 @t75)) (=> @t77 (_ @t118 (_ (_ tptp.image_set_a_a_e @t123) @t35)))))) % 0.43/0.90 (assume @p32 (forall (@list @t124) (_ @t125 @t124))) % 0.43/0.90 (assume @p33 (forall (@list @t126) (_ @t127 @t126))) % 0.43/0.90 (assume @p34 (forall (@list @t128) (_ @t129 @t128))) % 0.43/0.90 (assume @p35 (forall (@list @t130) (_ @t131 @t130))) % 0.43/0.90 (assume @p36 (forall @t133 (_ @t132 @t75))) % 0.43/0.90 (assume @p37 (forall (@list @t51 @t50 @t101) (=> @t53 (_ @t134 (_ @t102 @t50))))) % 0.43/0.90 (assume @p38 (forall (@list @t41 @t40 @t87) (=> @t43 (_ @t135 (_ @t88 @t40))))) % 0.43/0.90 (assume @p39 (forall (@list @t51 @t50 @t112) (=> @t53 (_ @t136 (_ @t113 @t50))))) % 0.43/0.90 (assume @p40 (forall (@list @t35 @t34 @t109) (=> @t36 (_ @t137 (_ @t110 @t34))))) % 0.43/0.90 (assume @p41 (forall (@list @t51 @t50 @t138) (=> @t53 (_ (_ tptp.ord_le2103863998_set_a @t140) (_ @t139 @t50))))) % 0.43/0.90 (assume @p42 (forall (@list @t35 @t34 @t69) (=> @t36 (_ @t141 (_ @t70 @t34))))) % 0.43/0.90 (assume @p43 (forall (@list @t29 @t28 @t142) (=> @t30 (_ (_ tptp.ord_less_eq_set_a @t144) (_ @t143 @t28))))) % 0.43/0.90 (assume @p44 (forall (@list @t35 @t34 @t145) (=> @t36 (_ (_ tptp.ord_le2103863998_set_a @t147) (_ @t146 @t34))))) % 0.43/0.90 (assume @p45 (forall (@list @t29 @t28 @t148) (=> @t30 (_ (_ tptp.ord_le318720350_set_a @t150) (_ @t149 @t28))))) % 0.43/0.90 (assume @p46 (forall (@list @t29 @t28 @t151) (=> @t30 (_ (_ tptp.ord_le2103863998_set_a @t153) (_ @t152 @t28))))) % 0.43/0.90 (assume @p47 (forall (@list @t35 @t109 @t50) (=> (forall @t16 (=> @t38 (_ (_ tptp.member_a (_ @t109 @t7)) @t50))) @t154))) % 0.43/0.90 (assume @p48 (forall (@list @t35 @t69 @t34) (=> @t157 @t155))) % 0.43/0.90 (assume @p49 (forall (@list @t41 @t158 @t50) (=> (forall @t48 (=> @t47 (_ (_ tptp.member_a (_ @t158 @t44)) @t50))) (_ (_ tptp.ord_less_eq_set_a (_ (_ tptp.image_2116492353_a_e_a @t158) @t41)) @t50)))) % 0.43/0.90 (assume @p50 (forall (@list @t35 @t80 @t40) (=> @t161 @t159))) % 0.43/0.90 (assume @p51 (forall (@list @t41 @t87 @t34) (=> @t164 @t162))) % 0.43/0.90 (assume @p52 (forall (@list @t41 @t96 @t40) (=> @t165 (_ (_ tptp.ord_le700723212_a_a_e @t97) @t40)))) % 0.43/0.90 (assume @p53 (forall (@list @t51 @t101 @t50) (=> (forall @t58 (=> @t57 (_ (_ tptp.member_a (_ @t101 @t54)) @t50))) @t166))) % 0.43/0.90 (assume @p54 (forall (@list @t51 @t112 @t34) (=> (forall @t58 (=> @t57 (_ (_ tptp.member_set_a (_ @t112 @t54)) @t34))) (_ @t136 @t34)))) % 0.43/0.90 (assume @p55 (forall (@list @t51 @t115 @t18) (=> (forall @t58 (=> @t57 (_ (_ tptp.member_a_e (_ @t115 @t54)) @t18))) (_ (_ tptp.ord_less_eq_set_a_e @t116) @t18)))) % 0.43/0.90 (assume @p56 (forall (@list @t19 @t119 @t50) (=> (forall @t23 (=> @t22 (_ (_ tptp.member_a (_ @t119 @t20)) @t50))) (_ (_ tptp.ord_less_eq_set_a @t120) @t50)))) % 0.43/0.90 (assume @p57 (forall @t171 (=> @t170 (not (forall @t169 (=> @t168 (not (= @t50 (_ @t102 @t167))))))))) % 0.43/0.90 (assume @p58 (forall @t174 (=> @t173 (not (forall (@list @t172) (=> (_ (_ tptp.ord_le700723212_a_a_e @t172) @t41) (not (= @t34 (_ @t88 @t172))))))))) % 0.43/0.90 (assume @p59 (forall @t179 (=> @t178 (not (forall @t177 (=> @t176 (not (= @t50 (_ @t110 @t175))))))))) % 0.43/0.90 (assume @p60 (forall @t181 (=> @t180 (not (forall @t169 (=> @t168 (not (= @t34 (_ @t113 @t167))))))))) % 0.43/0.90 (assume @p61 (forall @t186 (=> @t185 (not (forall @t184 (=> @t183 (not (= @t50 (_ @t143 @t182))))))))) % 0.43/0.90 (assume @p62 (forall @t188 (=> @t187 (not (forall @t177 (=> @t176 (not (= @t34 (_ @t70 @t175))))))))) % 0.43/0.90 (assume @p63 (forall @t190 (=> @t189 (not (forall @t169 (=> @t168 (not (= @t28 (_ @t139 @t167))))))))) % 0.43/0.90 (assume @p64 (forall @t192 (=> @t191 (not (forall @t184 (=> @t183 (not (= @t34 (_ @t149 @t182))))))))) % 0.43/0.90 (assume @p65 (forall @t194 (=> @t193 (not (forall @t177 (=> @t176 (not (= @t28 (_ @t146 @t175))))))))) % 0.43/0.90 (assume @p66 (forall @t196 (=> @t195 (not (forall @t184 (=> @t183 (not (= @t28 (_ @t152 @t182))))))))) % 0.43/0.90 (assume @p67 (forall (@list @t109 @t35 @t50) (= @t154 (forall @t200 (=> @t199 (_ (_ tptp.member_a (_ @t109 @t197)) @t50)))))) % 0.43/0.90 (assume @p68 (forall (@list @t101 @t51 @t50) (= @t166 (forall @t203 (=> (_ @t202 @t51) (_ (_ tptp.member_a (_ @t101 @t201)) @t50)))))) % 0.43/0.90 (assume @p69 (forall (@list @t80 @t35 @t40) (= @t159 (forall @t200 (=> @t199 (_ (_ tptp.member1258382221_a_a_e (_ @t80 @t197)) @t40)))))) % 0.43/0.90 (assume @p70 (forall (@list @t69 @t35 @t34) (= @t155 (forall @t200 (=> @t199 (_ (_ tptp.member_set_a (_ @t69 @t197)) @t34)))))) % 0.43/0.90 (assume @p71 (forall (@list @t205 @t206 @t28) (= (_ (_ tptp.ord_le2103863998_set_a (_ (_ tptp.image_1441218763_set_a @t205) @t206)) @t28) (forall (@list @t204) (=> (_ (_ tptp.member1437121347_a_a_e @t204) @t206) (_ (_ tptp.member_set_set_a (_ @t205 @t204)) @t28)))))) % 0.43/0.90 (assume @p72 (forall @t212 (= @t162 (forall @t211 (=> @t210 (_ (_ tptp.member_set_a @t208) @t34)))))) % 0.43/0.90 (assume @p73 (forall @t171 (= @t170 (exists @t215 (and @t214 (= @t50 (_ @t102 @t213))))))) % 0.43/0.90 (assume @p74 (forall @t174 (= @t173 (exists (@list @t216) (and (_ (_ tptp.ord_le700723212_a_a_e @t216) @t41) (= @t34 (_ @t88 @t216))))))) % 0.43/0.90 (assume @p75 (forall @t179 (= @t178 (exists @t219 (and @t218 (= @t50 (_ @t110 @t217))))))) % 0.43/0.90 (assume @p76 (forall @t181 (= @t180 (exists @t215 (and @t214 (= @t34 (_ @t113 @t213))))))) % 0.43/0.90 (assume @p77 (forall @t186 (= @t185 (exists @t222 (and @t221 (= @t50 (_ @t143 @t220))))))) % 0.43/0.90 (assume @p78 (forall @t188 (= @t187 (exists @t219 (and @t218 (= @t34 (_ @t70 @t217))))))) % 0.43/0.90 (assume @p79 (forall @t190 (= @t189 (exists @t215 (and @t214 (= @t28 (_ @t139 @t213))))))) % 0.43/0.90 (assume @p80 (forall @t192 (= @t191 (exists @t222 (and @t221 (= @t34 (_ @t149 @t220))))))) % 0.43/0.90 (assume @p81 (forall @t194 (= @t193 (exists @t219 (and @t218 (= @t28 (_ @t146 @t217))))))) % 0.43/0.90 (assume @p82 (forall @t196 (= @t195 (exists @t222 (and @t221 (= @t28 (_ @t152 @t220))))))) % 0.43/0.90 (assume @p83 (forall (@list @t225) (exists @t226 (= @t225 @t224)))) % 0.43/0.90 (assume @p84 (forall (@list @t229) (exists @t231 @t230))) % 0.43/0.90 (assume @p85 (forall (@list @t232 @t233) (=> @t238 (=> @t236 @t234)))) % 0.43/0.90 (assume @p86 (forall (@list @t239 @t240) (=> @t245 (=> @t243 @t241)))) % 0.43/0.90 (assume @p87 (forall (@list @t246 @t247) (=> @t252 (=> @t250 @t248)))) % 0.43/0.90 (assume @p88 (forall (@list @t253 @t254) (=> @t259 (=> @t257 @t255)))) % 0.43/0.90 (assume @p89 (forall (@list @t72 @t260) (=> @t265 (=> @t263 @t261)))) % 0.43/0.90 (assume @p90 (= @t273 (lambda @t270 (and @t269 @t268)))) % 0.43/0.90 (assume @p91 (= @t281 (lambda @t278 (and @t277 @t276)))) % 0.43/0.90 (assume @p92 (= @t289 (lambda @t286 (and @t285 @t284)))) % 0.43/0.90 (assume @p93 (= @t297 (lambda @t294 (and @t293 @t292)))) % 0.43/0.90 (assume @p94 (= @t305 (lambda @t302 (and @t301 @t300)))) % 0.43/0.90 (assume @p95 (forall (@list @t232 @t233 @t306) (=> @t238 (=> (_ @t307 @t232) (_ @t307 @t233))))) % 0.43/0.90 (assume @p96 (forall (@list @t239 @t240 @t308) (=> @t245 (=> (_ @t309 @t239) (_ @t309 @t240))))) % 0.43/0.90 (assume @p97 (forall (@list @t246 @t247 @t310) (=> @t252 (=> (_ @t311 @t246) (_ @t311 @t247))))) % 0.43/0.90 (assume @p98 (forall (@list @t253 @t254 @t312) (=> @t259 (=> (_ @t313 @t253) (_ @t313 @t254))))) % 0.43/0.90 (assume @p99 (forall (@list @t72 @t260 @t314) (=> @t265 (=> @t317 @t316)))) % 0.43/0.90 (assume @p100 (forall (@list @t233) (_ @t235 @t233))) % 0.43/0.90 (assume @p101 (forall (@list @t240) (_ @t242 @t240))) % 0.43/0.90 (assume @p102 (forall (@list @t247) (_ @t249 @t247))) % 0.43/0.90 (assume @p103 (forall (@list @t254) (_ @t256 @t254))) % 0.43/0.90 (assume @p104 (forall @t318 (_ @t262 @t260))) % 0.43/0.90 (assume @p105 (forall (@list @t124 @t320 @t319) (=> @t322 (=> (_ @t321 @t319) (_ @t125 @t319))))) % 0.43/0.90 (assume @p106 (forall (@list @t126 @t324 @t323) (=> @t326 (=> (_ @t325 @t323) (_ @t127 @t323))))) % 0.43/0.90 (assume @p107 (forall (@list @t128 @t328 @t327) (=> @t330 (=> (_ @t329 @t327) (_ @t129 @t327))))) % 0.43/0.90 (assume @p108 (forall (@list @t130 @t332 @t331) (=> @t334 (=> (_ @t333 @t331) (_ @t131 @t331))))) % 0.43/0.90 (assume @p109 (forall (@list @t75 @t336 @t335) (=> @t338 (=> (_ @t337 @t335) (_ @t132 @t335))))) % 0.43/0.90 (assume @p110 (forall (@list @t233 @t232) (=> @t236 (=> @t238 @t234)))) % 0.43/0.90 (assume @p111 (forall (@list @t240 @t239) (=> @t243 (=> @t245 @t241)))) % 0.43/0.90 (assume @p112 (forall (@list @t247 @t246) (=> @t250 (=> @t252 @t248)))) % 0.43/0.90 (assume @p113 (forall (@list @t254 @t253) (=> @t257 (=> @t259 @t255)))) % 0.43/0.90 (assume @p114 (forall (@list @t260 @t72) (=> @t263 (=> @t265 @t261)))) % 0.43/0.90 (assume @p115 (forall @t340 (=> @t236 (=> (= @t232 @t306) @t339)))) % 0.43/0.90 (assume @p116 (forall @t342 (=> @t243 (=> (= @t239 @t308) @t341)))) % 0.43/0.90 (assume @p117 (forall @t344 (=> @t250 (=> (= @t246 @t310) @t343)))) % 0.43/0.90 (assume @p118 (forall @t346 (=> @t257 (=> (= @t253 @t312) @t345)))) % 0.43/0.90 (assume @p119 (forall @t348 (=> @t263 (=> (= @t72 @t314) @t347)))) % 0.43/0.90 (assume @p120 (forall @t340 (=> @t234 @t349))) % 0.43/0.90 (assume @p121 (forall @t342 (=> @t241 @t350))) % 0.43/0.90 (assume @p122 (forall @t344 (=> @t248 @t351))) % 0.43/0.90 (assume @p123 (forall @t346 (=> @t255 @t353))) % 0.43/0.90 (assume @p124 (forall @t348 (=> @t261 @t355))) % 0.43/0.90 (assume @p125 (= @t273 (lambda @t270 (and @t268 @t269)))) % 0.43/0.90 (assume @p126 (= @t281 (lambda @t278 (and @t276 @t277)))) % 0.43/0.90 (assume @p127 (= @t289 (lambda @t286 (and @t284 @t285)))) % 0.43/0.90 (assume @p128 (= @t297 (lambda @t294 (and @t292 @t293)))) % 0.43/0.90 (assume @p129 (= @t305 (lambda @t302 (and @t300 @t301)))) % 0.43/0.90 (assume @p130 (forall (@list @t320 @t124) (=> @t357 (= @t322 @t356)))) % 0.43/0.90 (assume @p131 (forall (@list @t324 @t126) (=> @t359 (= @t326 @t358)))) % 0.43/0.90 (assume @p132 (forall (@list @t328 @t128) (=> @t361 (= @t330 @t360)))) % 0.43/0.90 (assume @p133 (forall (@list @t332 @t130) (=> @t363 (= @t334 @t362)))) % 0.43/0.90 (assume @p134 (forall (@list @t336 @t75) (=> @t365 (= @t338 @t364)))) % 0.43/0.90 (assume @p135 (forall @t340 (=> @t236 @t349))) % 0.43/0.90 (assume @p136 (forall @t342 (=> @t243 @t350))) % 0.43/0.90 (assume @p137 (forall @t344 (=> @t250 @t351))) % 0.43/0.90 (assume @p138 (forall @t346 (=> @t257 @t353))) % 0.43/0.90 (assume @p139 (forall @t348 (=> @t263 @t355))) % 0.43/0.90 (assume @p140 (forall @t366 (=> @t356 @t322))) % 0.43/0.90 (assume @p141 (forall @t367 (=> @t358 @t326))) % 0.43/0.90 (assume @p142 (forall @t368 (=> @t360 @t330))) % 0.43/0.90 (assume @p143 (forall @t369 (=> @t362 @t334))) % 0.43/0.90 (assume @p144 (forall @t370 (=> @t364 @t338))) % 0.43/0.90 (assume @p145 (forall @t366 (=> @t322 (=> @t357 @t356)))) % 0.43/0.90 (assume @p146 (forall @t367 (=> @t326 (=> @t359 @t358)))) % 0.43/0.90 (assume @p147 (forall @t368 (=> @t330 (=> @t361 @t360)))) % 0.43/0.90 (assume @p148 (forall @t369 (=> @t334 (=> @t363 @t362)))) % 0.43/0.90 (assume @p149 (forall @t370 (=> @t338 (=> @t365 @t364)))) % 0.43/0.90 (assume @p150 (= @t273 (lambda (@list @t204 @t371) (and (_ (_ tptp.ord_le700723212_a_a_e @t204) @t371) (_ (_ tptp.ord_le700723212_a_a_e @t371) @t204))))) % 0.43/0.90 (assume @p151 (= @t281 (lambda (@list @t372 @t373) (and (_ (_ tptp.ord_le318720350_set_a @t372) @t373) (_ (_ tptp.ord_le318720350_set_a @t373) @t372))))) % 0.43/0.90 (assume @p152 (= @t289 (lambda (@list @t374 @t375) (and (_ (_ tptp.ord_le2103863998_set_a @t374) @t375) (_ (_ tptp.ord_le2103863998_set_a @t375) @t374))))) % 0.43/0.90 (assume @p153 (= @t297 (lambda (@list @t376 @t377) (and (_ (_ tptp.ord_less_eq_o_set_a @t376) @t377) (_ (_ tptp.ord_less_eq_o_set_a @t377) @t376))))) % 0.43/0.90 (assume @p154 (= @t305 (lambda (@list @t197 @t378) (and (_ (_ tptp.ord_less_eq_set_a @t197) @t378) (_ (_ tptp.ord_less_eq_set_a @t378) @t197))))) % 0.43/0.90 (assume @p155 (forall @t385 (=> @t263 (=> (= @t384 @t314) @t383)))) % 0.43/0.90 (assume @p156 (forall (@list @t260 @t72 @t145 @t308) (=> @t263 (=> (= (_ @t145 @t72) @t308) (=> (forall @t381 (=> @t380 (_ (_ tptp.ord_le318720350_set_a (_ @t145 @t7)) (_ @t145 @t223)))) (_ (_ tptp.ord_le318720350_set_a (_ @t145 @t260)) @t308)))))) % 0.43/0.90 (assume @p157 (forall (@list @t240 @t239 @t148 @t314) (=> @t243 (=> (= (_ @t148 @t239) @t314) (=> (forall @t388 (=> @t387 (_ (_ tptp.ord_less_eq_set_a (_ @t148 @t31)) (_ @t148 @t386)))) (_ (_ tptp.ord_less_eq_set_a (_ @t148 @t240)) @t314)))))) % 0.43/0.90 (assume @p158 (forall (@list @t260 @t72 @t389 @t310) (=> @t263 (=> (= (_ @t389 @t72) @t310) (=> (forall @t381 (=> @t380 (_ (_ tptp.ord_le2103863998_set_a (_ @t389 @t7)) (_ @t389 @t223)))) (_ (_ tptp.ord_le2103863998_set_a (_ @t389 @t260)) @t310)))))) % 0.43/0.90 (assume @p159 (forall (@list @t260 @t72 @t390 @t312) (=> @t263 (=> (= (_ @t390 @t72) @t312) (=> (forall @t381 (=> @t380 (_ (_ tptp.ord_less_eq_o_set_a (_ @t390 @t7)) (_ @t390 @t223)))) (_ (_ tptp.ord_less_eq_o_set_a (_ @t390 @t260)) @t312)))))) % 0.43/0.90 (assume @p160 (forall (@list @t240 @t239 @t151 @t308) (=> @t243 (=> (= (_ @t151 @t239) @t308) (=> (forall @t388 (=> @t387 (_ (_ tptp.ord_le318720350_set_a (_ @t151 @t31)) (_ @t151 @t386)))) (_ (_ tptp.ord_le318720350_set_a (_ @t151 @t240)) @t308)))))) % 0.43/0.90 (assume @p161 (forall (@list @t247 @t246 @t391 @t314) (=> @t250 (=> (= (_ @t391 @t246) @t314) (=> (forall (@list @t393 @t392) (=> (_ (_ tptp.ord_le2103863998_set_a @t393) @t392) (_ (_ tptp.ord_less_eq_set_a (_ @t391 @t393)) (_ @t391 @t392)))) (_ (_ tptp.ord_less_eq_set_a (_ @t391 @t247)) @t314)))))) % 0.43/0.90 (assume @p162 (forall (@list @t254 @t253 @t394 @t314) (=> @t257 (=> (= (_ @t394 @t253) @t314) (=> (forall @t398 (=> @t397 (_ (_ tptp.ord_less_eq_set_a (_ @t394 @t396)) (_ @t394 @t395)))) (_ (_ tptp.ord_less_eq_set_a (_ @t394 @t254)) @t314)))))) % 0.43/0.90 (assume @p163 (forall (@list @t240 @t239 @t399 @t310) (=> @t243 (=> (= (_ @t399 @t239) @t310) (=> (forall @t388 (=> @t387 (_ (_ tptp.ord_le2103863998_set_a (_ @t399 @t31)) (_ @t399 @t386)))) (_ (_ tptp.ord_le2103863998_set_a (_ @t399 @t240)) @t310)))))) % 0.43/0.90 (assume @p164 (forall (@list @t240 @t239 @t400 @t312) (=> @t243 (=> (= (_ @t400 @t239) @t312) (=> (forall @t388 (=> @t387 (_ (_ tptp.ord_less_eq_o_set_a (_ @t400 @t31)) (_ @t400 @t386)))) (_ (_ tptp.ord_less_eq_o_set_a (_ @t400 @t240)) @t312)))))) % 0.43/0.90 (assume @p165 (forall (@list @t233 @t401 @t253 @t312) (=> (= @t233 (_ @t401 @t253)) (=> @t352 (=> (forall @t398 (=> @t397 (_ (_ tptp.ord_le700723212_a_a_e (_ @t401 @t396)) (_ @t401 @t395)))) (_ @t235 (_ @t401 @t312))))))) % 0.43/0.90 (assume @p166 (forall (@list @t240 @t402 @t253 @t312) (=> (= @t240 (_ @t402 @t253)) (=> @t352 (=> (forall @t398 (=> @t397 (_ (_ tptp.ord_le318720350_set_a (_ @t402 @t396)) (_ @t402 @t395)))) (_ @t242 (_ @t402 @t312))))))) % 0.43/0.90 (assume @p167 (forall (@list @t247 @t403 @t253 @t312) (=> (= @t247 (_ @t403 @t253)) (=> @t352 (=> (forall @t398 (=> @t397 (_ (_ tptp.ord_le2103863998_set_a (_ @t403 @t396)) (_ @t403 @t395)))) (_ @t249 (_ @t403 @t312))))))) % 0.43/0.90 (assume @p168 (forall (@list @t254 @t404 @t253 @t312) (=> (= @t254 (_ @t404 @t253)) (=> @t352 (=> (forall @t398 (=> @t397 (_ (_ tptp.ord_less_eq_o_set_a (_ @t404 @t396)) (_ @t404 @t395)))) (_ @t256 (_ @t404 @t312))))))) % 0.43/0.90 (assume @p169 (forall @t406 (=> (= @t260 @t384) @t405))) % 0.43/0.90 (assume @p170 (forall @t385 (=> @t263 (=> (_ (_ tptp.ord_less_eq_set_a @t384) @t314) @t383)))) % 0.43/0.90 (assume @p171 (forall @t406 (=> (_ @t262 @t384) @t405))) % 0.43/0.90 (assume @p172 (forall (@list @t260 @t407) (= (_ @t408 (_ tptp.collect_set_a @t407)) (_ @t407 @t260)))) % 0.43/0.90 (assume @p173 (forall (@list @t409 @t410) (= (_ @t411 (_ tptp.collec1369693387_a_a_e @t410)) (_ @t410 @t409)))) % 0.43/0.90 (assume @p174 (forall @t412 (= (_ tptp.collect_set_a (lambda @t200 @t199)) @t35))) % 0.43/0.90 (assume @p175 (forall @t413 (= (_ tptp.collec1369693387_a_a_e (lambda @t211 @t210)) @t41))) % 0.43/0.90 (assume @p176 (forall (@list @t75 @t35 @t72 @t69) (=> @t77 (=> @t79 @t74)))) % 0.43/0.90 (assume @p177 (forall (@list @t75 @t35 @t82 @t80) (=> @t77 (=> @t86 @t84)))) % 0.43/0.90 (assume @p178 (forall (@list @t91 @t41 @t72 @t87) (=> @t93 (=> @t95 @t90)))) % 0.43/0.90 (assume @p179 (forall (@list @t91 @t41 @t82 @t96) (=> @t93 (=> @t100 @t98)))) % 0.43/0.90 (assume @p180 (forall @t415 (=> (forall @t16 (=> (_ @t13 @t89) @t414)) (forall @t6 (=> (_ @t5 @t41) (_ @t407 (_ @t87 @t1))))))) % 0.43/0.90 (assume @p181 (forall (@list @t419 @t416 @t87 @t417) (=> (= @t419 @t416) (=> (forall @t48 (=> (_ @t45 @t416) (= @t163 (_ @t417 @t44)))) (= (_ @t88 @t419) (_ @t418 @t416)))))) % 0.43/0.90 (assume @p182 (forall @t415 (=> (exists (@list @t420) (and (_ (_ tptp.member_set_a @t420) @t89) (_ @t407 @t420))) (exists @t48 (and @t47 (_ @t407 @t163)))))) % 0.43/0.90 (assume @p183 (forall (@list @t335 @t87 @t41) (= (_ @t421 @t89) (exists @t211 (and @t210 (= @t335 @t208)))))) % 0.43/0.90 (assume @p184 (forall (@list @t75 @t35 @t69) (=> @t77 (_ (_ tptp.member_set_a @t78) @t71)))) % 0.43/0.90 (assume @p185 (forall (@list @t75 @t35 @t80) (=> @t77 (_ (_ tptp.member1258382221_a_a_e @t85) @t81)))) % 0.43/0.90 (assume @p186 (forall (@list @t91 @t41 @t87) (=> @t93 (_ @t422 @t89)))) % 0.43/0.90 (assume @p187 (forall (@list @t91 @t41 @t96) (=> @t93 (_ (_ tptp.member1258382221_a_a_e @t99) @t97)))) % 0.43/0.90 (assume @p188 (forall @t426 (= @t425 (forall @t203 (=> (_ @t424 @t201) (_ @t423 @t201)))))) % 0.43/0.90 (assume @p189 (= @t305 (lambda @t430 (and (_ (_ tptp.ord_less_eq_set_a @t427) @t428) (_ @t429 @t427))))) % 0.43/0.90 (assume @p190 (forall (@list @t51 @t50 @t431) (=> @t53 (=> (_ @t67 @t431) (_ @t52 @t431))))) % 0.43/0.90 (assume @p191 (forall @t426 (=> (forall @t58 (=> (_ @t424 @t54) (_ @t423 @t54))) @t425))) % 0.43/0.90 (assume @p192 (forall @t59 (=> @t66 @t68))) % 0.43/0.90 (assume @p193 (= tptp.ord_le318720350_set_a (lambda @t434 (forall @t200 (=> (_ @t198 @t433) (_ @t198 @t432)))))) % 0.43/0.90 (assume @p194 (= tptp.ord_le700723212_a_a_e (lambda @t437 (forall @t211 (=> (_ @t209 @t436) (_ @t209 @t435)))))) % 0.43/0.90 (assume @p195 (= tptp.ord_less_eq_set_a (lambda @t430 (forall @t203 (=> (_ @t202 @t427) (_ @t202 @t428)))))) % 0.43/0.90 (assume @p196 (forall @t59 (=> @t66 (not (=> @t53 (not @t68)))))) % 0.43/0.90 (assume @p197 (forall (@list @t35 @t34 @t314) (=> @t36 (=> (_ @t438 @t35) (_ @t438 @t34))))) % 0.43/0.90 (assume @p198 (forall (@list @t41 @t40 @t439) (=> @t43 (=> (_ @t440 @t41) (_ @t440 @t40))))) % 0.43/0.90 (assume @p199 (forall (@list @t51 @t50 @t441) (=> @t53 (=> (_ @t442 @t51) (_ @t442 @t50))))) % 0.43/0.90 (assume @p200 (forall @t444 (=> @t36 (=> @t77 @t443)))) % 0.43/0.90 (assume @p201 (forall @t446 (=> @t43 (=> @t93 @t445)))) % 0.43/0.90 (assume @p202 (forall @t448 (=> @t53 (=> @t108 @t447)))) % 0.43/0.90 (assume @p203 (forall (@list @t452 @t450 @t451 @t449) (= (= @t453 (_ (_ tptp.produc1134456688_a_a_e @t451) @t449)) (and (= @t452 @t451) (= @t450 @t449))))) % 0.43/0.90 (assume @p204 (forall @t461 (= @t460 (and @t457 @t455)))) % 0.43/0.90 (assume @p205 (forall (@list @t260 @t229) (= (= @t260 @t463) (exists (@list @t462) (= @t229 (_ @t458 @t462)))))) % 0.43/0.90 (assume @p206 (forall @t464 (= (_ tptp.produc1040928388_a_a_e @t453) @t452))) % 0.43/0.90 (assume @p207 (forall (@list @t75 @t465 @t260) (=> (= @t467 @t260) (= @t75 @t260)))) % 0.43/0.90 (assume @p208 (forall @t472 (=> @t471 (= @t468 @t336)))) % 0.43/0.90 (assume @p209 (forall (@list @t87 @t41 @t473) (= (forall (@list @t432) (=> (_ (_ tptp.ord_le318720350_set_a @t432) @t89) (_ @t473 @t432))) (forall (@list @t435) (=> (_ (_ tptp.ord_le700723212_a_a_e @t435) @t41) (_ @t473 (_ @t88 @t435))))))) % 0.43/0.90 (assume @p210 (forall (@list @t101 @t51 @t407) (= (forall @t474 (=> (_ @t429 @t103) (_ @t407 @t428))) (forall @t474 (=> (_ @t429 @t51) (_ @t407 (_ @t102 @t428))))))) % 0.43/0.90 (assume @p211 (forall (@list @t407 @t75) (=> @t477 (=> @t476 (= @t475 @t75))))) % 0.43/0.90 (assume @p212 (forall (@list @t407 @t75 @t478) (=> @t477 (=> @t476 (=> (forall @t16 (=> @t414 (=> (forall (@list @t479) (=> (_ @t407 @t479) (_ (_ tptp.ord_less_eq_set_a @t479) @t7))) (_ @t478 @t7)))) (_ @t478 @t475)))))) % 0.43/0.90 (assume @p213 (forall (@list @t410 @t480) (=> @t486 (_ @t410 @t480)))) % 0.43/0.90 (assume @p214 (forall (@list @t487) (not (forall @t485 (not (= @t487 @t484)))))) % 0.43/0.90 (assume @p215 (forall @t461 (=> @t460 (not (=> @t457 (not @t455)))))) % 0.43/0.90 (assume @p216 (forall (@list @t410 @t229) (=> @t486 (_ @t410 @t229)))) % 0.43/0.90 (assume @p217 (forall @t212 (=> @t162 (_ (_ tptp.ord_le2103863998_set_a (_ @t488 (_ tptp.finite33065488_a_a_e @t41))) (_ tptp.finite_Fpow_set_a @t34))))) % 0.43/0.90 (assume @p218 (forall @t39 (=> @t491 (exists @t490 (and (_ @t489 @t35) (not (_ @t489 @t34))))))) % 0.43/0.90 (assume @p219 (forall @t49 (=> @t494 (exists (@list @t492) (and (_ @t493 @t41) (not (_ @t493 @t40))))))) % 0.43/0.90 (assume @p220 (forall @t59 (=> @t497 (exists (@list @t495) (and (_ @t496 @t51) (not (_ @t496 @t50))))))) % 0.43/0.90 (assume @p221 (forall @t59 (=> @t66 @t53))) % 0.43/0.90 (assume @p222 (forall @t444 (=> @t498 (=> @t77 (=> (not @t443) @t64))))) % 0.43/0.90 (assume @p223 (forall @t446 (=> @t499 (=> @t93 (=> (not @t445) @t61))))) % 0.43/0.90 (assume @p224 (forall @t448 (=> @t500 (=> @t108 (=> (not @t447) @t68))))) % 0.43/0.90 (assume @p225 (forall @t59 (=> @t53 (_ (_ tptp.ord_le318720350_set_a (_ tptp.finite_Fpow_a @t51)) (_ tptp.finite_Fpow_a @t50))))) % 0.43/0.90 (assume @p226 (forall @t348 (=> @t261 (=> @t347 @t354)))) % 0.43/0.90 (assume @p227 (forall @t348 (=> @t261 (=> @t316 @t317)))) % 0.43/0.90 (assume @p228 (forall (@list @t72 @t87 @t41) (=> @t90 (exists @t48 (and @t47 (= @t72 @t163)))))) % 0.43/0.90 (assume @p229 (forall (@list @t260 @t35 @t69) @t502)) % 0.43/0.90 (assume @p230 (forall (@list @t260 @t35 @t80) @t503)) % 0.43/0.90 (assume @p231 (forall (@list @t409 @t41 @t87) @t505)) % 0.43/0.90 (assume @p232 (forall (@list @t409 @t41 @t96) @t506)) % 0.43/0.90 (assume @p233 (forall (@list @t35 @t69 @t34 @t260) (=> @t157 @t502))) % 0.43/0.90 (assume @p234 (forall (@list @t41 @t87 @t34 @t409) (=> @t164 @t505))) % 0.43/0.90 (assume @p235 (forall (@list @t35 @t80 @t40 @t260) (=> @t161 @t503))) % 0.43/0.90 (assume @p236 (forall (@list @t41 @t96 @t40 @t409) (=> @t165 @t506))) % 0.43/0.90 (assume @p237 (forall @t444 (=> @t36 (=> @t508 (=> @t443 @t507))))) % 0.43/0.90 (assume @p238 (forall @t446 (=> @t43 (=> @t510 (=> @t445 @t509))))) % 0.43/0.90 (assume @p239 (forall @t448 (=> @t53 (=> @t512 (=> @t447 @t511))))) % 0.43/0.90 (assume @p240 (forall @t39 (=> @t491 @t513))) % 0.43/0.90 (assume @p241 (forall @t49 (=> @t494 @t514))) % 0.43/0.90 (assume @p242 (forall @t59 (=> @t497 @t515))) % 0.43/0.90 (assume @p243 (forall @t516 (_ @t52 @t51))) % 0.43/0.90 (assume @p244 (forall @t39 (=> @t507 (=> @t64 @t513)))) % 0.43/0.90 (assume @p245 (forall @t49 (=> @t509 (=> @t61 @t514)))) % 0.43/0.90 (assume @p246 (forall @t59 (=> @t511 (=> @t68 @t515)))) % 0.43/0.90 (assume @p247 (forall @t444 (=> @t498 (=> @t508 (=> @t443 @t36))))) % 0.43/0.90 (assume @p248 (forall @t446 (=> @t499 (=> @t510 (=> @t445 @t43))))) % 0.43/0.90 (assume @p249 (forall @t448 (=> @t500 (=> @t512 (=> @t447 @t53))))) % 0.43/0.90 (assume @p250 (forall @t212 (=> @t162 (_ (_ tptp.ord_le2103863998_set_a @t518) @t517)))) % 0.43/0.90 (assume @p251 (forall (@list @t41 @t40 @t522 @t519 @t521) (=> @t60 (=> @t524 (= (_ @t521 @t523) (_ @t521 @t520)))))) % 0.43/0.90 (assume @p252 (forall (@list @t41 @t40 @t522 @t519 @t525) (=> @t60 (=> @t524 (= (_ @t525 @t523) (_ @t525 @t520)))))) % 0.43/0.90 (assume @p253 (forall (@list @t527 @t526) (=> (forall @t231 (=> @t529 (_ @t528 @t526))) (_ (_ tptp.ord_le700723212_a_a_e @t527) @t526)))) % 0.43/0.90 (assume @p254 (forall (@list @t532 @t534 @t530 @t531) (=> (_ (_ tptp.member1258382221_a_a_e (_ @t533 @t534)) @t530) (=> (= @t531 @t534) (_ (_ tptp.member1258382221_a_a_e (_ @t533 @t531)) @t530))))) % 0.43/0.90 (assume @p255 (forall @t59 (=> @t53 @t537))) % 0.43/0.90 (assume @p256 (forall @t59 (= @t537 @t53))) % 0.43/0.90 (assume @p257 (forall @t516 (_ @t536 @t538))) % 0.43/0.90 (assume @p258 (forall @t59 (=> @t537 @t53))) % 0.43/0.90 (assume @p259 (forall @t59 (=> @t53 (_ (_ tptp.ord_le318720350_set_a @t538) @t535)))) % 0.43/0.90 (assume @p260 (forall @t212 (=> (= @t89 @t34) (= @t518 @t517)))) % 0.43/0.90 (assume @p261 (forall @t542 (=> @t541 @t540))) % 0.43/0.90 (assume @p262 (forall @t542 (=> @t540 @t541))) % 0.43/0.90 (assume @p263 (forall (@list @t530) (= (_ @t11 @t530) (_ tptp.domain_set_a_a_e @t530)))) % 0.43/0.90 (assume @p264 (= tptp.domain_set_a_a_e @t11)) % 0.43/0.90 (assume @p265 (forall (@list @t117 @t527) (=> @t544 (not (forall @t490 (not (_ (_ tptp.member1258382221_a_a_e (_ @t483 @t117)) @t527))))))) % 0.43/0.90 (assume @p266 (forall @t548 (= @t547 (exists @t546 (_ (_ tptp.member1258382221_a_a_e (_ (_ tptp.produc1134456688_a_a_e @t378) @t545)) @t527))))) % 0.43/0.90 (assume @p267 (forall @t548 (=> @t547 (not (forall @t490 (not (_ (_ tptp.member1258382221_a_a_e (_ @t483 @t545)) @t527))))))) % 0.43/0.90 (assume @p268 (forall @t548 (= @t547 (exists @t551 (and (= @t545 @t462) @t550))))) % 0.43/0.90 (assume @p269 (forall @t554 (=> @t553 @t544))) % 0.43/0.90 (assume @p270 (forall (@list @t121 @t527 @t555) (=> (_ @t122 @t543) (=> (forall @t485 (=> @t556 (_ @t555 @t481))) (_ @t555 @t121))))) % 0.43/0.90 (assume @p271 (forall @t559 (=> @t558 (not (forall (@list @t481) (not (_ (_ tptp.member1258382221_a_a_e (_ @t458 @t481)) @t527))))))) % 0.43/0.90 (assume @p272 (forall @t559 (= @t558 (exists (@list @t560) (_ (_ tptp.member1258382221_a_a_e (_ @t458 @t560)) @t527))))) % 0.43/0.90 (assume @p273 (forall @t559 (= @t558 (exists @t551 (and (= @t260 @t299) @t550))))) % 0.43/0.90 (assume @p274 (forall @t554 (=> @t553 @t558))) % 0.43/0.90 (assume @p275 (forall (@list @t75 @t527 @t407) (=> (_ @t76 @t557) (=> (forall @t485 (=> @t556 (_ @t407 @t482))) @t477)))) % 0.43/0.90 (assume @p276 (forall (@list @t465 @t75 @t41) (= (_ (_ tptp.member360729153_set_a @t561) (_ (_ tptp.image_1875450791_set_a tptp.produc755714512_a_a_e) @t41)) (_ (_ tptp.member1258382221_a_a_e @t466) @t41)))) % 0.43/0.90 (assume @p277 (forall (@list @t336 @t121 @t25) (= (_ (_ tptp.member1258382221_a_a_e @t563) (_ (_ tptp.image_376979367_a_a_e tptp.produc100464700_set_a) @t25)) (_ (_ tptp.member360729153_set_a @t562) @t25)))) % 0.43/0.90 (assume @p278 (forall (@list @t121 @t336) (= (_ tptp.produc100464700_set_a @t562) @t563))) % 0.43/0.90 (assume @p279 (forall (@list @t75 @t465) (= (_ tptp.produc755714512_a_a_e @t466) @t561))) % 0.43/0.90 (assume @p280 (forall @t570 (= @t569 @t566))) % 0.43/0.90 (assume @p281 (forall @t576 (= @t575 @t573))) % 0.43/0.90 (assume @p282 (forall (@list @t578 @t577 @t527 @t579) (=> (_ (_ tptp.member360729153_set_a (_ (_ tptp.produc479206876_set_a @t578) @t577)) @t567) (=> (forall @t485 (=> @t556 (_ (_ @t579 @t481) @t482))) (_ (_ @t579 @t578) @t577))))) % 0.43/0.90 (assume @p283 (forall (@list @t452 @t450 @t571 @t580) (=> (_ (_ tptp.member1258382221_a_a_e @t453) @t574) (=> (forall (@list @t581 @t582) (=> (_ (_ tptp.member360729153_set_a (_ (_ tptp.produc479206876_set_a @t581) @t582)) @t571) (_ (_ @t580 @t582) @t581))) (_ (_ @t580 @t452) @t450))))) % 0.43/0.90 (assume @p284 (forall (@list @t545 @t72 @t571) (=> (_ @t568 @t571) (_ @t565 @t574)))) % 0.43/0.90 (assume @p285 (forall @t554 (=> @t553 (_ @t572 @t567)))) % 0.43/0.90 (assume @p286 (forall @t586 (= @t585 (exists @t551 (and (= @t584 @t462) (= @t583 @t299) @t550))))) % 0.43/0.90 (assume @p287 (forall @t591 (= @t590 (exists (@list @t587 @t298) (and (= @t589 @t298) (= @t588 @t587) (_ (_ tptp.member360729153_set_a (_ (_ tptp.produc479206876_set_a @t587) @t298)) @t571)))))) % 0.43/0.90 (assume @p288 (forall @t586 (=> @t585 (_ (_ tptp.member1258382221_a_a_e (_ (_ tptp.produc1134456688_a_a_e @t583) @t584)) @t527)))) % 0.43/0.90 (assume @p289 (forall @t591 (=> @t590 (_ (_ tptp.member360729153_set_a (_ (_ tptp.produc479206876_set_a @t588) @t589)) @t571)))) % 0.43/0.90 (assume @p290 (forall (@list @t592 @t527) (=> (_ (_ tptp.member360729153_set_a @t592) @t567) (not (forall @t231 (=> (= @t592 (_ (_ tptp.produc479206876_set_a @t227) @t7)) (not @t529))))))) % 0.43/0.90 (assume @p291 (forall (@list @t593 @t571) (=> (_ (_ tptp.member1258382221_a_a_e @t593) @t574) (not (forall @t226 (=> (= @t593 (_ (_ tptp.produc1134456688_a_a_e @t223) @t20)) (not (_ (_ tptp.member360729153_set_a @t224) @t571)))))))) % 0.43/0.90 (assume @p292 (forall @t570 (=> @t569 @t566))) % 0.43/0.90 (assume @p293 (forall @t576 (=> @t575 @t573))) % 0.43/0.90 (assume @p294 (forall (@list @t260 @t117 @t530 @t69 @t594) (=> (_ @t552 @t530) (_ (_ tptp.member1258382221_a_a_e @t597) @t596)))) % 0.43/0.90 (assume @p295 (forall @t133 (_ @t76 tptp.top_top_set_set_a))) % 0.43/0.90 (assume @p296 (forall @t598 (_ @t92 tptp.top_to1601855068_a_a_e))) % 0.43/0.90 (assume @p297 (forall (@list @t69 @t594 @t260 @t117) (= (_ @t595 @t459) @t597))) % 0.43/0.90 (assume @p298 (forall (@list @t69 @t594 @t91) (= (_ tptp.produc1040928388_a_a_e (_ @t595 @t91)) (_ @t69 @t468)))) % 0.43/0.90 (assume @p299 (forall @t602 (= @t601 @t480))) % 0.43/0.90 (assume @p300 (forall (@list @t603) (= (_ tptp.produc1040928388_a_a_e (_ tptp.produc100464700_set_a @t603)) (_ tptp.produc1809800494_set_a @t603)))) % 0.43/0.90 (assume @p301 (forall @t598 (= (_ tptp.produc1809800494_set_a (_ tptp.produc755714512_a_a_e @t91)) @t468))) % 0.43/0.90 (assume @p302 (= (_ @t11 tptp.top_to1601855068_a_a_e) tptp.top_top_set_set_a)) % 0.43/0.90 (assume @p303 (forall (@list @t87 @t91) (_ @t422 @t604))) % 0.43/0.90 (assume @p304 (forall (@list @t72 @t87 @t91) (=> @t95 (_ @t73 @t604)))) % 0.43/0.90 (assume @p305 (forall (@list @t87) (= @t605 (forall @t546 (exists @t211 (= @t378 @t208)))))) % 0.43/0.90 (assume @p306 (forall (@list @t417 @t80) (=> (forall @t16 (= (_ @t417 @t160) @t7)) @t606))) % 0.43/0.90 (assume @p307 (forall @t608 (=> @t605 (not (forall @t48 (not @t607)))))) % 0.43/0.90 (assume @p308 (forall @t608 (=> @t605 (exists @t48 @t607)))) % 0.43/0.90 (assume @p309 (forall (@list @t87 @t417) (=> @t605 (=> @t606 (= (_ (_ tptp.image_2101504031_set_a (_ (_ tptp.produc387505142_set_a @t87) @t417)) tptp.top_to970499581_a_a_e) tptp.top_to144004695_set_a))))) % 0.43/0.90 (assume @p310 (forall @t318 (=> @t610 @t609))) % 0.43/0.90 (assume @p311 (forall @t318 (= @t610 @t609))) % 0.43/0.90 (assume @p312 (forall @t318 (_ @t262 tptp.top_top_set_a))) % 0.43/0.90 (assume @p313 (forall @t516 (_ @t52 tptp.top_top_set_a))) % 0.43/0.90 (assume @p314 (forall @t472 (=> @t471 (= @t611 @t469)))) % 0.43/0.90 (assume @p315 (forall (@list @t75 @t465 @t545) (=> (= @t612 @t545) (= @t465 @t545)))) % 0.43/0.90 (assume @p316 (forall @t464 (= (_ tptp.produc317566658_a_a_e @t453) @t450))) % 0.43/0.90 (assume @p317 (forall (@list @t117 @t229) (= (= @t117 @t613) (exists (@list @t299) (= @t229 (_ @t549 @t117)))))) % 0.43/0.90 (assume @p318 (= (lambda (@list @t617 @t616) (= @t617 @t616)) (lambda (@list @t615 @t614) (and (= (_ tptp.produc1040928388_a_a_e @t615) (_ tptp.produc1040928388_a_a_e @t614)) (= (_ tptp.produc317566658_a_a_e @t615) (_ tptp.produc317566658_a_a_e @t614)))))) % 0.43/0.90 (assume @p319 (forall (@list @t480 @t618) (=> (and (= @t600 (_ tptp.produc1040928388_a_a_e @t618)) (= @t599 (_ tptp.produc317566658_a_a_e @t618))) (= @t480 @t618)))) % 0.43/0.90 (assume @p320 (forall (@list @t229 @t619) (=> (= @t463 (_ tptp.produc1040928388_a_a_e @t619)) (=> (= @t613 (_ tptp.produc317566658_a_a_e @t619)) (= @t229 @t619))))) % 0.43/0.90 (assume @p321 (forall @t412 (=> (forall @t16 @t38) (= tptp.top_top_set_set_a @t35)))) % 0.43/0.90 (assume @p322 (forall @t413 (=> (forall @t48 @t47) (= tptp.top_to1601855068_a_a_e @t41)))) % 0.43/0.90 (assume @p323 (exists @t16 (_ @t13 tptp.top_top_set_set_a))) % 0.43/0.90 (assume @p324 (exists @t48 (_ @t45 tptp.top_to1601855068_a_a_e))) % 0.43/0.90 (assume @p325 (forall (@list @t620) (= @t620 (_ (_ tptp.produc1134456688_a_a_e (_ tptp.produc1040928388_a_a_e @t620)) (_ tptp.produc317566658_a_a_e @t620))))) % 0.43/0.90 (assume @p326 (forall @t602 (= @t480 @t601))) % 0.43/0.90 (assume @p327 (forall (@list @t439 @t69 @t594 @t530) (=> (_ @t440 @t596) (not (forall @t231 (=> (= @t439 (_ (_ tptp.produc1134456688_a_a_e @t156) (_ @t594 @t227))) (not (_ @t528 @t530)))))))) % 0.43/0.90 (assume @p328 (forall (@list @t579 @t465 @t75) (=> (_ (_ @t579 @t465) @t75) (_ (_ @t579 @t612) @t467)))) % 0.43/0.90 (assume @p329 (forall (@list @t407 @t622 @t624 @t621) (=> (_ @t407 @t622) (=> (_ @t624 @t621) (and (_ @t407 (_ tptp.produc1040928388_a_a_e @t623)) (_ @t624 (_ tptp.produc317566658_a_a_e @t623))))))) % 0.43/0.90 (assume @p330 (forall (@list @t580 @t75 @t465 @t409) (=> (_ (_ @t580 @t75) @t465) (=> (= @t409 @t466) (_ (_ @t580 (_ tptp.produc1040928388_a_a_e @t409)) (_ tptp.produc317566658_a_a_e @t409)))))) % 0.43/0.90 (assume @p331 (forall (@list @t579 @t229) (=> (_ (_ @t579 @t613) @t463) (not (forall @t231 (not (_ (_ @t579 @t227) @t7))))))) % 0.43/0.90 (assume @p332 (forall (@list @t630 @t41 @t629 @t580 @t625) (=> (= @t630 (_ @t11 @t41)) (=> (= @t629 (_ (_ tptp.image_1149879910_e_a_e tptp.produc317566658_a_a_e) @t41)) (=> (forall @t16 (=> (_ @t13 @t630) (forall (@list @t628) (=> (_ (_ tptp.member_a_e @t628) @t629) (=> (_ (_ @t580 @t7) @t628) (_ (_ @t625 @t7) @t628)))))) (=> (_ @t42 @t627) (_ @t42 @t626))))))) % 0.43/0.90 (assume @p333 (forall (@list @t91 @t631) (=> (_ @t92 (_ tptp.collec1369693387_a_a_e (_ tptp.produc1341862587_a_e_o @t631))) (_ (_ @t631 @t468) @t611)))) % 0.43/0.90 (assume @p334 (forall (@list @t335 @t632 @t229) (=> (_ @t421 (_ (_ tptp.produc1620938593_set_a @t632) @t229)) (not (forall @t231 (=> @t230 (not (_ @t421 (_ (_ @t632 @t7) @t227))))))))) % 0.43/0.90 (assume @p335 (forall (@list @t634 @t633 @t229) (=> (_ @t635 (_ (_ tptp.produc1096319049_a_a_e @t633) @t229)) (not (forall @t231 (=> @t230 (not (_ @t635 (_ (_ @t633 @t7) @t227))))))))) % 0.43/0.90 (assume @p336 (forall (@list @t636 @t580 @t637) (=> (_ @t638 (_ tptp.collec1369693387_a_a_e (_ tptp.produc1341862587_a_e_o (_ (_ tptp.relcom658603713_e_a_e @t580) @t637)))) (_ (_ tptp.member1258382221_a_a_e (_ (_ (_ tptp.bNF_fs1024561536_e_a_e @t580) @t637) @t636)) @t627)))) % 0.43/0.90 (assume @p337 (forall (@list @t636 @t639 @t625) (=> (_ @t638 (_ tptp.collec1369693387_a_a_e (_ tptp.produc1341862587_a_e_o (_ (_ tptp.relcom779348378_a_a_e @t639) @t625)))) (_ (_ tptp.member1258382221_a_a_e (_ (_ (_ tptp.bNF_sn375433437_a_a_e @t639) @t625) @t636)) @t626)))) % 0.43/0.90 (assume @p338 (forall (@list @t72 @t69 @t75 @t641 @t640 @t35) (=> @t79 (=> (= @t641 (_ @t640 @t75)) (=> @t77 (_ @t642 (_ (_ (_ tptp.bNF_Gr1872575811_a_a_e @t35) @t69) @t640))))))) % 0.43/0.90 (assume @p339 (forall (@list @t72 @t87 @t91 @t641 @t643 @t41) (=> @t95 (=> (= @t641 (_ @t643 @t91)) (=> @t93 (_ @t642 (_ (_ (_ tptp.bNF_Gr2072183031_a_a_e @t41) @t87) @t643))))))) % 0.43/0.90 (assume @p340 @t652) % 0.43/0.90 (assume @p341 (not tptp.thesis)) % 0.43/0.90 (assume @p342 true) % 0.43/0.90 (step @p343 (= tptp.ord_le318720350_set_a @t655) :rule refl :args (@t655)) % 0.43/0.90 (step @p344 (= tptp.ord_le700723212_a_a_e @t657) :rule refl :args (@t657)) % 0.43/0.90 (step @p345 (= tptp.ord_less_eq_set_a @t664) :rule refl :args (@t664)) % 0.43/0.90 (step @p346 (= tptp.ord_less_eq_o_set_a @t667) :rule refl :args (@t667)) % 0.43/0.90 (step @p347 (= tptp.produc100464700_set_a @t669) :rule refl :args (@t669)) % 0.43/0.90 (step @p348 (= tptp.produc755714512_a_a_e @t671) :rule refl :args (@t671)) % 0.43/0.90 (step @p349 (= tptp.top_top_set_a_o @t672) :rule refl :args (@t672)) % 0.43/0.90 (step @p350 (= tptp.top_to2000253225_a_e_o @t673) :rule refl :args (@t673)) % 0.43/0.90 (step @p351 (= tptp.bNF_sn375433437_a_a_e @t679) :rule refl :args (@t679)) % 0.43/0.90 (step @p352 (= tptp.bNF_fs1024561536_e_a_e @t682) :rule refl :args (@t682)) % 0.43/0.90 (step @p353 (= tptp.fun_in_rel_set_a_a_e @t684) :rule refl :args (@t684)) % 0.43/0.90 (step @p354 :rule refl :args (@t688)) % 0.43/0.90 (step @p355 :rule refl :args (@t691)) % 0.43/0.90 (step @p356 :rule refl :args (@t694)) % 0.43/0.90 (step @p357 :rule refl :args ((tptp.member_set_a @t7 @t12))) % 0.43/0.90 (step @p358 :rule refl :args (@t695)) % 0.43/0.90 (step @p359 :rule refl :args (@t7)) % 0.43/0.90 (step @p360 :rule cong :premises (@p359 @p358) :args (@t696)) % 0.43/0.90 (step @p361 :rule trans :premises (@p360 @p357)) % 0.43/0.90 (step @p362 :rule refl :args (@t13)) % 0.43/0.90 (step @p363 :rule ho_cong :premises (@p362 @p358)) % 0.43/0.90 (step @p364 :rule cong :premises (@p363 @p361) :args ((= (_ @t13 @t695) @t696))) % 0.43/0.90 (step @p365 :rule symm :premises (@p364)) % 0.43/0.90 (step @p366 :rule refl :args (@t14)) % 0.43/0.90 (step @p367 :rule eq_resolve :premises (@p366 @p365)) % 0.43/0.90 (step @p368 :rule refl :args (@t12)) % 0.43/0.90 (step @p369 :rule cong :premises (@p368 @p358) :args ((= @t12 @t695))) % 0.43/0.90 (step @p370 :rule symm :premises (@p369)) % 0.43/0.90 (step @p371 :rule eq_resolve :premises (@p368 @p370)) % 0.43/0.90 (step @p372 :rule ho_cong :premises (@p362 @p371)) % 0.43/0.90 (step @p373 :rule trans :premises (@p372 @p367)) % 0.43/0.90 (step @p374 :rule cong :premises (@p373) :args (@t697)) % 0.43/0.90 (step @p375 :rule nary_cong :premises (@p374 @p356 @p355 @p354) :args (@t698)) % 0.43/0.90 (step @p376 :rule cong :premises (@p375) :args ((forall @t16 @t698))) % 0.43/0.90 (step @p377 :rule aci_norm :args ((= (or @t697 (or @t694 (or @t691 @t688))) @t698))) % 0.43/0.90 (step @p378 :rule bool-and-de-morgan :args (@t690 @t687 true)) % 0.43/0.90 (step @p379 :rule nary_cong :premises (@p356 @p378) :args ((or @t694 (not (and @t690 @t687))))) % 0.43/0.90 (step @p380 :rule bool-and-de-morgan :args (@t693 @t690 (and @t687))) % 0.43/0.90 (step @p381 :rule trans :premises (@p380 @p379)) % 0.43/0.90 (step @p382 :rule refl :args (@t697)) % 0.43/0.90 (step @p383 :rule nary_cong :premises (@p382 @p381) :args ((or @t697 (not (and @t693 @t690 @t687))))) % 0.43/0.90 (step @p384 :rule bool-and-de-morgan :args (@t14 @t693 (and @t690 @t687))) % 0.43/0.90 (step @p385 :rule trans :premises (@p384 @p383)) % 0.43/0.90 (step @p386 :rule trans :premises (@p385 @p377)) % 0.43/0.90 (step @p387 :rule cong :premises (@p386) :args (@t700)) % 0.43/0.90 (step @p388 :rule trans :premises (@p387 @p376)) % 0.43/0.90 (step @p389 :rule cong :premises (@p388) :args (@t701)) % 0.43/0.90 (step @p390 :rule exists-elim :args ((= (exists @t16 @t699) @t701))) % 0.43/0.90 (step @p391 :rule trans :premises (@p390 @p389)) % 0.43/0.90 (step @p392 :rule beta-reduce :args ((= (_ @t703 @t7) @t687))) % 0.43/0.90 (step @p393 :rule refl :args (@t7)) % 0.43/0.90 (step @p394 :rule beta-reduce :args ((= @t706 @t703))) % 0.43/0.90 (step @p395 :rule ho_cong :premises (@p394 @p393)) % 0.43/0.90 (step @p396 :rule trans :premises (@p395 @p392)) % 0.43/0.90 (step @p397 :rule beta-reduce :args ((= (_ @t707 @t7) @t690))) % 0.43/0.90 (step @p398 :rule beta-reduce :args ((= @t708 @t707))) % 0.43/0.90 (step @p399 :rule ho_cong :premises (@p398 @p393)) % 0.43/0.90 (step @p400 :rule trans :premises (@p399 @p397)) % 0.43/0.90 (step @p401 :rule beta-reduce :args ((= (_ @t709 @t7) @t693))) % 0.43/0.90 (step @p402 :rule beta-reduce :args ((= @t710 @t709))) % 0.43/0.90 (step @p403 :rule ho_cong :premises (@p402 @p393)) % 0.43/0.90 (step @p404 :rule trans :premises (@p403 @p401)) % 0.43/0.90 (step @p405 :rule refl :args (@t14)) % 0.43/0.90 (step @p406 :rule nary_cong :premises (@p405 @p404 @p400 @p396) :args (@t711)) % 0.43/0.90 (step @p407 :rule cong :premises (@p406) :args ((exists @t16 @t711))) % 0.43/0.90 (step @p408 :rule trans :premises (@p407 @p391)) % 0.43/0.90 (step @p409 :rule refl :args (tptp.a3)) % 0.43/0.90 (step @p410 :rule refl :args (@t702)) % 0.43/0.90 (step @p411 :rule refl :args (@t660)) % 0.43/0.90 (step @p412 :rule cong :premises (@p411 @p410) :args ((= @t660 @t702))) % 0.43/0.90 (step @p413 :rule symm :premises (@p412)) % 0.43/0.90 (step @p414 :rule eq_resolve :premises (@p411 @p413)) % 0.43/0.90 (step @p415 :rule refl :args (@t704)) % 0.43/0.90 (step @p416 :rule refl :args (@t661)) % 0.43/0.90 (step @p417 :rule cong :premises (@p416 @p415) :args ((= @t661 @t704))) % 0.43/0.90 (step @p418 :rule symm :premises (@p417)) % 0.43/0.90 (step @p419 :rule eq_resolve :premises (@p416 @p418)) % 0.43/0.90 (step @p420 :rule cong :premises (@p419) :args (@t712)) % 0.43/0.90 (step @p421 :rule nary_cong :premises (@p420 @p414) :args (@t713)) % 0.43/0.90 (step @p422 :rule cong :premises (@p421) :args ((forall @t662 @t713))) % 0.43/0.90 (step @p423 :rule bool-impl-elim :args (@t661 @t660)) % 0.43/0.90 (step @p424 :rule cong :premises (@p423) :args (@t663)) % 0.43/0.90 (step @p425 :rule trans :premises (@p424 @p422)) % 0.43/0.90 (step @p426 :rule cong :premises (@p425) :args (@t664)) % 0.43/0.90 (step @p427 :rule trans :premises (@p345 @p426)) % 0.43/0.90 (step @p428 :rule ho_cong :premises (@p427 @p409)) % 0.43/0.90 (step @p429 :rule ho_cong :premises (@p428 @p393)) % 0.43/0.90 (step @p430 :rule refl :args (tptp.a2)) % 0.43/0.90 (step @p431 :rule ho_cong :premises (@p427 @p430)) % 0.43/0.90 (step @p432 :rule ho_cong :premises (@p431 @p393)) % 0.43/0.90 (step @p433 :rule refl :args (tptp.a1)) % 0.43/0.90 (step @p434 :rule ho_cong :premises (@p427 @p433)) % 0.43/0.90 (step @p435 :rule ho_cong :premises (@p434 @p393)) % 0.43/0.90 (step @p436 :rule nary_cong :premises (@p405 @p435 @p432 @p429) :args (@t15)) % 0.43/0.90 (step @p437 :rule cong :premises (@p436) :args (@t17)) % 0.43/0.90 (step @p438 :rule trans :premises (@p437 @p408)) % 0.43/0.90 (step @p439 :rule eq_resolve :premises (@p2 @p438)) % 0.43/0.90 (step @p440 :rule alpha_equiv :args ((forall (@list @t714) (or (not (tptp.member_set_a @t714 @t695)) (not (forall @t717 (or (not (tptp.member_a @t715 tptp.a1)) @t716))) (not (forall @t717 (or (not (tptp.member_a @t715 tptp.a2)) @t716))) (not (forall @t717 (or (not (tptp.member_a @t715 tptp.a3)) @t716))))) @t718 (@list @t658 @t644))) % 0.43/0.90 (step @p441 :rule alpha_equiv :args (@t719 (@list @t658 @t7) @t718)) % 0.43/0.90 (step @p442 :rule trans :premises (@p441 @p440)) % 0.43/0.90 (step @p443 :rule equiv_elim2 :premises (@p442)) % 0.43/0.90 (step @p444 :rule chain_m_resolution :premises (@p443 @p439) :args ((not @t728) @t729 (@list @t719))) % 0.43/0.90 (step @p445 :rule aci_norm :args ((= (or false @t728) @t728))) % 0.43/0.90 (step @p446 :rule refl :args (@t728)) % 0.43/0.90 (step @p447 :rule bool-eq-false :args (tptp.thesis)) % 0.43/0.90 (step @p448 :rule symm :premises (@p447)) % 0.43/0.90 (step @p449 :rule eq_resolve :premises (@p341 @p448)) % 0.43/0.90 (step @p450 :rule nary_cong :premises (@p449 @p446) :args ((or tptp.thesis @t728))) % 0.43/0.90 (step @p451 :rule trans :premises (@p450 @p445)) % 0.43/0.90 (step @p452 :rule refl :args (@t722)) % 0.43/0.90 (step @p453 :rule refl :args (@t724)) % 0.43/0.90 (step @p454 :rule refl :args (@t726)) % 0.43/0.90 (step @p455 :rule refl :args ((tptp.member_set_a @t644 @t12))) % 0.43/0.90 (step @p456 :rule refl :args (@t644)) % 0.43/0.90 (step @p457 :rule cong :premises (@p456 @p358) :args (@t727)) % 0.43/0.90 (step @p458 :rule trans :premises (@p457 @p455)) % 0.43/0.90 (step @p459 :rule refl :args (@t648)) % 0.43/0.90 (step @p460 :rule ho_cong :premises (@p459 @p358)) % 0.43/0.90 (step @p461 :rule cong :premises (@p460 @p458) :args ((= (_ @t648 @t695) @t727))) % 0.43/0.90 (step @p462 :rule symm :premises (@p461)) % 0.43/0.90 (step @p463 :rule refl :args (@t649)) % 0.43/0.90 (step @p464 :rule eq_resolve :premises (@p463 @p462)) % 0.43/0.90 (step @p465 :rule ho_cong :premises (@p459 @p371)) % 0.43/0.90 (step @p466 :rule trans :premises (@p465 @p464)) % 0.43/0.90 (step @p467 :rule cong :premises (@p466) :args (@t730)) % 0.43/0.90 (step @p468 :rule nary_cong :premises (@p467 @p454 @p453 @p452) :args (@t731)) % 0.43/0.90 (step @p469 :rule cong :premises (@p468) :args (@t732)) % 0.43/0.90 (step @p470 :rule refl :args (tptp.thesis)) % 0.43/0.90 (step @p471 :rule nary_cong :premises (@p470 @p469) :args (@t733)) % 0.43/0.90 (step @p472 :rule quant-miniscope-or :args ((= (forall @t651 @t734) @t733))) % 0.43/0.90 (step @p473 :rule aci_norm :args ((= @t735 @t734))) % 0.43/0.90 (step @p474 :rule cong :premises (@p473) :args ((forall @t651 @t735))) % 0.43/0.90 (step @p475 :rule trans :premises (@p474 @p472)) % 0.43/0.90 (step @p476 :rule trans :premises (@p475 @p471)) % 0.43/0.90 (step @p477 :rule aci_norm :args ((= (or @t730 @t736) @t735))) % 0.43/0.90 (step @p478 :rule aci_norm :args ((= (or @t726 @t737) @t736))) % 0.43/0.90 (step @p479 :rule aci_norm :args ((= (or @t724 (or @t722 tptp.thesis)) @t737))) % 0.43/0.90 (step @p480 :rule bool-impl-elim :args (@t721 tptp.thesis)) % 0.43/0.90 (step @p481 :rule nary_cong :premises (@p453 @p480) :args ((or @t724 @t738))) % 0.43/0.90 (step @p482 :rule trans :premises (@p481 @p479)) % 0.43/0.90 (step @p483 :rule bool-impl-elim :args (@t723 @t738)) % 0.43/0.90 (step @p484 :rule trans :premises (@p483 @p482)) % 0.43/0.90 (step @p485 :rule nary_cong :premises (@p454 @p484) :args ((or @t726 @t739))) % 0.43/0.90 (step @p486 :rule trans :premises (@p485 @p478)) % 0.43/0.90 (step @p487 :rule bool-impl-elim :args (@t725 @t739)) % 0.43/0.90 (step @p488 :rule trans :premises (@p487 @p486)) % 0.43/0.90 (step @p489 :rule refl :args (@t730)) % 0.43/0.90 (step @p490 :rule nary_cong :premises (@p489 @p488) :args ((or @t730 @t740))) % 0.43/0.90 (step @p491 :rule trans :premises (@p490 @p477)) % 0.43/0.90 (step @p492 :rule bool-impl-elim :args (@t649 @t740)) % 0.43/0.90 (step @p493 :rule trans :premises (@p492 @p491)) % 0.43/0.90 (step @p494 :rule cong :premises (@p493) :args ((forall @t651 (=> @t649 @t740)))) % 0.43/0.90 (step @p495 :rule trans :premises (@p494 @p476)) % 0.43/0.90 (step @p496 :rule beta-reduce :args ((= (_ @t703 @t644) @t721))) % 0.43/0.90 (step @p497 :rule refl :args (@t644)) % 0.43/0.90 (step @p498 :rule ho_cong :premises (@p394 @p497)) % 0.43/0.90 (step @p499 :rule trans :premises (@p498 @p496)) % 0.43/0.90 (step @p500 :rule cong :premises (@p499 @p470) :args (@t741)) % 0.43/0.90 (step @p501 :rule beta-reduce :args ((= (_ @t707 @t644) @t723))) % 0.43/0.90 (step @p502 :rule ho_cong :premises (@p398 @p497)) % 0.43/0.90 (step @p503 :rule trans :premises (@p502 @p501)) % 0.43/0.90 (step @p504 :rule cong :premises (@p503 @p500) :args (@t742)) % 0.43/0.90 (step @p505 :rule beta-reduce :args ((= (_ @t709 @t644) @t725))) % 0.43/0.90 (step @p506 :rule ho_cong :premises (@p402 @p497)) % 0.43/0.90 (step @p507 :rule trans :premises (@p506 @p505)) % 0.43/0.90 (step @p508 :rule cong :premises (@p507 @p504) :args (@t743)) % 0.43/0.90 (step @p509 :rule refl :args (@t649)) % 0.43/0.90 (step @p510 :rule cong :premises (@p509 @p508) :args (@t744)) % 0.43/0.90 (step @p511 :rule cong :premises (@p510) :args ((forall @t651 @t744))) % 0.43/0.90 (step @p512 :rule trans :premises (@p511 @p495)) % 0.43/0.90 (step @p513 :rule ho_cong :premises (@p428 @p497)) % 0.43/0.90 (step @p514 :rule cong :premises (@p513 @p470) :args (@t645)) % 0.43/0.90 (step @p515 :rule ho_cong :premises (@p431 @p497)) % 0.43/0.90 (step @p516 :rule cong :premises (@p515 @p514) :args (@t646)) % 0.43/0.90 (step @p517 :rule ho_cong :premises (@p434 @p497)) % 0.43/0.90 (step @p518 :rule cong :premises (@p517 @p516) :args (@t647)) % 0.43/0.90 (step @p519 :rule cong :premises (@p509 @p518) :args (@t650)) % 0.43/0.90 (step @p520 :rule cong :premises (@p519) :args (@t652)) % 0.43/0.90 (step @p521 :rule trans :premises (@p520 @p512)) % 0.43/0.90 (step @p522 :rule trans :premises (@p521 @p451)) % 0.43/0.90 (step @p523 :rule eq_resolve :premises (@p340 @p522)) % 0.43/0.90 (step @p524 false :rule chain_m_resolution :premises (@p523 @p444) :args (false @t729 (@list @t728))) % 0.43/0.90 ) % 0.43/0.90 % SZS output end Proof % 0.43/0.90 % cvc5 exiting %------------------------------------------------------------------------------