%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP153^1 : 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 08:25:12 AM UTC 2026 % Result : Theorem 0.48s 1.00s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ITP153^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 04:16:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.39/0.63 %----Proving TH0 % 0.48/1.00 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.48/1.00 % SZS status Theorem % 0.48/1.00 % SZS output start Proof % 0.48/1.00 ( % 0.48/1.00 (declare-sort tptp.product_prod_a_a 0) % 0.48/1.00 (declare-sort tptp.set_Product_prod_a_a 0) % 0.48/1.00 (declare-sort tptp.set_a 0) % 0.48/1.00 (declare-sort tptp.a 0) % 0.48/1.00 (declare-sort tptp.set_Pr1948701895od_a_a 0) % 0.48/1.00 (declare-sort tptp.set_set_a 0) % 0.48/1.00 (declare-sort tptp.produc1572603623od_a_a 0) % 0.48/1.00 (declare-sort tptp.produc1691597095_set_a 0) % 0.48/1.00 (declare-sort tptp.produc1990712039od_a_a 0) % 0.48/1.00 (declare-sort tptp.set_Pr1295299783od_a_a 0) % 0.48/1.00 (declare-sort tptp.set_Pr2045688071_set_a 0) % 0.48/1.00 (declare-const tptp.order_491428350od_a_a (-> tptp.set_Pr1948701895od_a_a tptp.set_Pr1295299783od_a_a Bool)) % 0.48/1.00 (declare-const tptp.member2057358096od_a_a (-> tptp.produc1572603623od_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.48/1.00 (declare-const tptp.produc1935643479od_a_a (-> tptp.produc1572603623od_a_a tptp.produc1572603623od_a_a tptp.produc1990712039od_a_a)) % 0.48/1.00 (declare-const tptp.member1899387664od_a_a (-> tptp.produc1990712039od_a_a tptp.set_Pr1295299783od_a_a Bool)) % 0.48/1.00 (declare-const tptp.order_816746613_set_a (-> tptp.set_set_a tptp.set_Pr2045688071_set_a Bool)) % 0.48/1.00 (declare-const tptp.member_set_a (-> tptp.set_a tptp.set_set_a Bool)) % 0.48/1.00 (declare-const tptp.produc1928581911_set_a (-> tptp.set_a tptp.set_a tptp.produc1691597095_set_a)) % 0.48/1.00 (declare-const tptp.member593450832_set_a (-> tptp.produc1691597095_set_a tptp.set_Pr2045688071_set_a Bool)) % 0.48/1.00 (declare-const tptp.order_359341630od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.48/1.00 (declare-const tptp.member449909584od_a_a (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a Bool)) % 0.48/1.00 (declare-const tptp.produc1474507607od_a_a (-> tptp.product_prod_a_a tptp.product_prod_a_a tptp.produc1572603623od_a_a)) % 0.48/1.00 (declare-const tptp.refl_on_a (-> tptp.set_a tptp.set_Product_prod_a_a Bool)) % 0.48/1.00 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.48/1.00 (declare-const tptp.product_Pair_a_a (-> tptp.a tptp.a tptp.product_prod_a_a)) % 0.48/1.00 (declare-const tptp.prefer1064779160od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.48/1.00 (declare-const tptp.prefer580340847ioms_a (-> tptp.set_a tptp.set_Product_prod_a_a Bool)) % 0.48/1.00 (declare-const tptp.bot_bo2131659635od_a_a tptp.set_Product_prod_a_a) % 0.48/1.00 (declare-const tptp.bot_bot_set_a tptp.set_a) % 0.48/1.00 (declare-const tptp.produc918972485_set_a (-> tptp.produc1691597095_set_a tptp.set_a)) % 0.48/1.00 (declare-const tptp.produc1926412547_set_a (-> tptp.produc1691597095_set_a tptp.set_a)) % 0.48/1.00 (declare-const tptp.the_elem_a (-> tptp.set_a tptp.a)) % 0.48/1.00 (declare-const tptp.insert_a (-> tptp.a tptp.set_a tptp.set_a)) % 0.48/1.00 (declare-const tptp.product_fst_a_a (-> tptp.product_prod_a_a tptp.a)) % 0.48/1.00 (declare-const tptp.product_snd_a_a (-> tptp.product_prod_a_a tptp.a)) % 0.48/1.00 (declare-const tptp.uminus_uminus_set_a (-> tptp.set_a tptp.set_a)) % 0.48/1.00 (declare-const tptp.domain_a_a (-> tptp.set_Product_prod_a_a tptp.set_a)) % 0.48/1.00 (declare-const tptp.range_a_a (-> tptp.set_Product_prod_a_a tptp.set_a)) % 0.48/1.00 (declare-const tptp.order_653178931r_on_a (-> tptp.set_a tptp.set_Product_prod_a_a Bool)) % 0.48/1.00 (declare-const tptp.order_Greatest_set_a (-> (-> tptp.set_a Bool) tptp.set_a)) % 0.48/1.00 (declare-const tptp.order_under_a (-> tptp.set_Product_prod_a_a tptp.a tptp.set_a)) % 0.48/1.00 (declare-const tptp.id_on_1182990020od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a)) % 0.48/1.00 (declare-const tptp.bot_bo1519632275_set_a tptp.produc1691597095_set_a) % 0.48/1.00 (declare-const tptp.id_on_a (-> tptp.set_a tptp.set_Product_prod_a_a)) % 0.48/1.00 (declare-const tptp.bot_bot_set_set_a tptp.set_set_a) % 0.48/1.00 (declare-const tptp.bot_bo1116205875od_a_a tptp.set_Pr1948701895od_a_a) % 0.48/1.00 (declare-const tptp.prefer1498087410od_a_a (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a tptp.set_Product_prod_a_a)) % 0.48/1.00 (declare-const tptp.prefer1671525929_set_a (-> tptp.set_a tptp.set_set_a tptp.set_Pr2045688071_set_a tptp.set_set_a)) % 0.48/1.00 (declare-const tptp.is_sin877026331od_a_a (-> tptp.set_Product_prod_a_a Bool)) % 0.48/1.00 (declare-const tptp.prefer926864306od_a_a (-> tptp.produc1572603623od_a_a tptp.set_Pr1948701895od_a_a tptp.set_Pr1295299783od_a_a tptp.set_Pr1948701895od_a_a)) % 0.48/1.00 (declare-const tptp.refl_o1298442278od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.48/1.00 (declare-const tptp.prefer484977842_set_a (-> tptp.set_set_a tptp.set_Pr2045688071_set_a Bool)) % 0.48/1.00 (declare-const tptp.refl_on_set_a (-> tptp.set_set_a tptp.set_Pr2045688071_set_a Bool)) % 0.48/1.00 (declare-const tptp.carrier tptp.set_a) % 0.48/1.00 (declare-const tptp.prefer161218362good_a (-> tptp.a tptp.set_a tptp.set_Product_prod_a_a tptp.set_a)) % 0.48/1.00 (declare-const tptp.y tptp.a) % 0.48/1.00 (declare-const tptp.z tptp.a) % 0.48/1.00 (declare-const tptp.prefer74720675od_a_a (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a tptp.set_Product_prod_a_a)) % 0.48/1.00 (declare-const tptp.collec1635618130od_a_a (-> (-> tptp.produc1572603623od_a_a Bool) tptp.set_Pr1948701895od_a_a)) % 0.48/1.00 (declare-const tptp.uminus1440301054od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Product_prod_a_a)) % 0.48/1.00 (declare-const tptp.relation tptp.set_Product_prod_a_a) % 0.48/1.00 (declare-const tptp.prefer1867335523od_a_a (-> tptp.produc1572603623od_a_a tptp.set_Pr1948701895od_a_a tptp.set_Pr1295299783od_a_a tptp.set_Pr1948701895od_a_a)) % 0.48/1.00 (declare-const tptp.prefer1828051771od_a_a (-> tptp.set_Pr1948701895od_a_a tptp.set_Pr1295299783od_a_a Bool)) % 0.48/1.00 (declare-const tptp.ord_le456379495od_a_a (-> tptp.set_Pr1948701895od_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.48/1.00 (declare-const tptp.refl_o198693862od_a_a (-> tptp.set_Pr1948701895od_a_a tptp.set_Pr1295299783od_a_a Bool)) % 0.48/1.00 (declare-const tptp.prefer1676310729than_a (-> tptp.a tptp.set_a tptp.set_Product_prod_a_a tptp.set_a)) % 0.48/1.00 (declare-const tptp.prefer436369274d_as_a (-> tptp.a tptp.set_a tptp.set_Product_prod_a_a tptp.set_a)) % 0.48/1.00 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.48/1.00 (declare-const tptp.prefer270414042_set_a (-> tptp.set_a tptp.set_set_a tptp.set_Pr2045688071_set_a tptp.set_set_a)) % 0.48/1.00 (declare-const tptp.collec645855634od_a_a (-> (-> tptp.product_prod_a_a Bool) tptp.set_Product_prod_a_a)) % 0.48/1.00 (declare-const tptp.ord_le318720350_set_a (-> tptp.set_set_a tptp.set_set_a Bool)) % 0.48/1.00 (declare-const tptp.total_1340260971od_a_a (-> tptp.set_Pr1948701895od_a_a tptp.set_Pr1295299783od_a_a Bool)) % 0.48/1.00 (declare-const tptp.insert1116662519od_a_a (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a tptp.set_Product_prod_a_a)) % 0.48/1.00 (declare-const tptp.prefer55414563od_a_a (-> tptp.produc1572603623od_a_a tptp.set_Pr1948701895od_a_a tptp.set_Pr1295299783od_a_a tptp.set_Pr1948701895od_a_a)) % 0.48/1.00 (declare-const tptp.prefer1203288218_set_a (-> tptp.set_a tptp.set_set_a tptp.set_Pr2045688071_set_a tptp.set_set_a)) % 0.48/1.00 (declare-const tptp.prefer477097315od_a_a (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a tptp.set_Product_prod_a_a)) % 0.48/1.00 (define tptp.prefer1409946857od_a_a () (let ((_let_1 (@var "Relation2" tptp.set_Pr1295299783od_a_a))) (let ((_let_2 (@var "Carrier2" tptp.set_Pr1948701895od_a_a))) (let ((_let_3 (@var "Y2" tptp.produc1572603623od_a_a))) (let ((_let_4 (@var "X3" tptp.produc1572603623od_a_a))) (let ((_let_5 (_ (_ tptp.member1899387664od_a_a (_ (_ tptp.produc1935643479od_a_a _let_4) _let_3)) _let_1))) (let ((_let_6 (@list _let_4 _let_3))) (lambda (@list _let_2 _let_1) (and (forall _let_6 (=> _let_5 (_ (_ tptp.member2057358096od_a_a _let_4) _let_2))) (forall _let_6 (=> _let_5 (_ (_ tptp.member2057358096od_a_a _let_3) _let_2))) (_ (_ tptp.order_491428350od_a_a _let_2) _let_1)))))))))) % 0.48/1.00 (define tptp.prefer1710114912_set_a () (let ((_let_1 (@var "Relation2" tptp.set_Pr2045688071_set_a))) (let ((_let_2 (@var "Carrier2" tptp.set_set_a))) (let ((_let_3 (@var "Y2" tptp.set_a))) (let ((_let_4 (@var "X3" tptp.set_a))) (let ((_let_5 (_ (_ tptp.member593450832_set_a (_ (_ tptp.produc1928581911_set_a _let_4) _let_3)) _let_1))) (let ((_let_6 (@list _let_4 _let_3))) (lambda (@list _let_2 _let_1) (and (forall _let_6 (=> _let_5 (_ (_ tptp.member_set_a _let_4) _let_2))) (forall _let_6 (=> _let_5 (_ (_ tptp.member_set_a _let_3) _let_2))) (_ (_ tptp.order_816746613_set_a _let_2) _let_1)))))))))) % 0.48/1.00 (define tptp.prefer1338892073od_a_a () (let ((_let_1 (@var "Relation2" tptp.set_Pr1948701895od_a_a))) (let ((_let_2 (@var "Carrier2" tptp.set_Product_prod_a_a))) (let ((_let_3 (@var "Y2" tptp.product_prod_a_a))) (let ((_let_4 (@var "X3" tptp.product_prod_a_a))) (let ((_let_5 (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a _let_4) _let_3)) _let_1))) (let ((_let_6 (@list _let_4 _let_3))) (lambda (@list _let_2 _let_1) (and (forall _let_6 (=> _let_5 (_ (_ tptp.member449909584od_a_a _let_4) _let_2))) (forall _let_6 (=> _let_5 (_ (_ tptp.member449909584od_a_a _let_3) _let_2))) (_ (_ tptp.order_359341630od_a_a _let_2) _let_1)))))))))) % 0.48/1.00 (define tptp.trans_a () (let ((_let_1 (@var "R2" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "Z4" tptp.a))) (let ((_let_3 (@var "X3" tptp.a))) (let ((_let_4 (_ tptp.product_Pair_a_a _let_3))) (let ((_let_5 (@var "Y2" tptp.a))) (lambda (@list _let_1) (forall (@list _let_3 _let_5 _let_2) (=> (_ (_ tptp.member449909584od_a_a (_ _let_4 _let_5)) _let_1) (=> (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a _let_5) _let_2)) _let_1) (_ (_ tptp.member449909584od_a_a (_ _let_4 _let_2)) _let_1))))))))))) % 0.48/1.00 (define tptp.order_preorder_on_a () (let ((_let_1 (@var "R2" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "A4" tptp.set_a))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.refl_on_a _let_2) _let_1) (_ tptp.trans_a _let_1)))))) % 0.48/1.00 (define tptp.prefer1292084992ence_a () (let ((_let_1 (@var "Relation2" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "Carrier2" tptp.set_a))) (let ((_let_3 (@var "Y2" tptp.a))) (let ((_let_4 (@var "X3" tptp.a))) (let ((_let_5 (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a _let_4) _let_3)) _let_1))) (let ((_let_6 (@list _let_4 _let_3))) (lambda (@list _let_2 _let_1) (and (forall _let_6 (=> _let_5 (_ (_ tptp.member_a _let_4) _let_2))) (forall _let_6 (=> _let_5 (_ (_ tptp.member_a _let_3) _let_2))) (_ (_ tptp.order_preorder_on_a _let_2) _let_1)))))))))) % 0.48/1.00 (define tptp.total_on_set_a () (let ((_let_1 (@var "R2" tptp.set_Pr2045688071_set_a))) (let ((_let_2 (@var "X3" tptp.set_a))) (let ((_let_3 (@var "Y2" tptp.set_a))) (let ((_let_4 (@var "A4" tptp.set_set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.member_set_a _let_2) _let_4) (forall (@list _let_3) (=> (_ (_ tptp.member_set_a _let_3) _let_4) (=> (not (= _let_2 _let_3)) (or (_ (_ tptp.member593450832_set_a (_ (_ tptp.produc1928581911_set_a _let_2) _let_3)) _let_1) (_ (_ tptp.member593450832_set_a (_ (_ tptp.produc1928581911_set_a _let_3) _let_2)) _let_1))))))))))))) % 0.48/1.00 (define tptp.total_1490170027od_a_a () (let ((_let_1 (@var "R2" tptp.set_Pr1948701895od_a_a))) (let ((_let_2 (@var "X3" tptp.product_prod_a_a))) (let ((_let_3 (@var "Y2" tptp.product_prod_a_a))) (let ((_let_4 (@var "A4" tptp.set_Product_prod_a_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.member449909584od_a_a _let_2) _let_4) (forall (@list _let_3) (=> (_ (_ tptp.member449909584od_a_a _let_3) _let_4) (=> (not (= _let_2 _let_3)) (or (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a _let_2) _let_3)) _let_1) (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a _let_3) _let_2)) _let_1))))))))))))) % 0.48/1.00 (define tptp.total_on_a () (let ((_let_1 (@var "R2" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "X3" tptp.a))) (let ((_let_3 (@var "Y2" tptp.a))) (let ((_let_4 (@var "A4" tptp.set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.member_a _let_2) _let_4) (forall (@list _let_3) (=> (_ (_ tptp.member_a _let_3) _let_4) (=> (not (= _let_2 _let_3)) (or (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a _let_2) _let_3)) _let_1) (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a _let_3) _let_2)) _let_1))))))))))))) % 0.48/1.00 (define tptp.prefer697821563od_a_a () (let ((_let_1 (@var "Relation2" tptp.set_Pr1948701895od_a_a))) (let ((_let_2 (@var "Carrier2" tptp.set_Product_prod_a_a))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.prefer1338892073od_a_a _let_2) _let_1) (_ (_ tptp.prefer1064779160od_a_a _let_2) _let_1)))))) % 0.48/1.00 (define tptp.prefer719835986ence_a () (let ((_let_1 (@var "Relation2" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "Carrier2" tptp.set_a))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.prefer1292084992ence_a _let_2) _let_1) (_ (_ tptp.prefer580340847ioms_a _let_2) _let_1)))))) % 0.48/1.00 (define tptp.ord_le1824328871od_a_a () (let ((_let_1 (@var "B5" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "T" tptp.product_prod_a_a))) (let ((_let_3 (_ tptp.member449909584od_a_a _let_2))) (let ((_let_4 (@var "A4" tptp.set_Product_prod_a_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.48/1.00 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B5" 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))))))))) % 0.48/1.00 (define tptp.bot_bo1293121322_a_a_o () (let ((_let_1 (@var "X3" tptp.product_prod_a_a))) (lambda (@list _let_1) (_ (_ tptp.member449909584od_a_a _let_1) tptp.bot_bo2131659635od_a_a)))) % 0.48/1.00 (define tptp.bot_bot_a_o () (let ((_let_1 (@var "X3" tptp.a))) (lambda (@list _let_1) (_ (_ tptp.member_a _let_1) tptp.bot_bot_set_a)))) % 0.48/1.00 (define tptp.is_empty_a () (let ((_let_1 (@var "A4" tptp.set_a))) (lambda (@list _let_1) (= _let_1 tptp.bot_bot_set_a)))) % 0.48/1.00 (define tptp.bNF_Ca850758276_set_a () (let ((_let_1 (@var "J" tptp.a))) (let ((_let_2 (@var "As" (-> tptp.a tptp.set_a)))) (let ((_let_3 (@var "I" tptp.a))) (let ((_let_4 (@var "R2" tptp.set_Product_prod_a_a))) (lambda (@list _let_4 _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a _let_3) _let_1)) _let_4) (_ (_ tptp.ord_less_eq_set_a (_ _let_2 _let_3)) (_ _let_2 _let_1)))))))))) % 0.48/1.00 (define tptp.ord_le486764743_set_a () (let ((_let_1 (@var "Y2" tptp.produc1691597095_set_a))) (let ((_let_2 (@var "X3" tptp.produc1691597095_set_a))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.ord_less_eq_set_a (_ tptp.produc1926412547_set_a _let_2)) (_ tptp.produc1926412547_set_a _let_1)) (_ (_ tptp.ord_less_eq_set_a (_ tptp.produc918972485_set_a _let_2)) (_ tptp.produc918972485_set_a _let_1))))))) % 0.48/1.00 (define tptp.is_singleton_a () (let ((_let_1 (@var "A4" tptp.set_a))) (lambda (@list _let_1) (= _let_1 (_ (_ tptp.insert_a (_ tptp.the_elem_a _let_1)) tptp.bot_bot_set_a))))) % 0.48/1.00 (define tptp.product_swap_a_a () (let ((_let_1 (@var "P3" tptp.product_prod_a_a))) (lambda (@list _let_1) (_ (_ tptp.product_Pair_a_a (_ tptp.product_snd_a_a _let_1)) (_ tptp.product_fst_a_a _let_1))))) % 0.48/1.00 (define @t1 () (_ (_ tptp.product_Pair_a_a tptp.y) tptp.z)) % 0.48/1.00 (define @t2 () (_ (_ tptp.member449909584od_a_a @t1) tptp.relation)) % 0.48/1.00 (define @t3 () (_ (_ tptp.product_Pair_a_a tptp.z) tptp.y)) % 0.48/1.00 (define @t4 () (_ (_ tptp.member449909584od_a_a @t3) tptp.relation)) % 0.48/1.00 (define @t5 () (_ tptp.refl_on_a tptp.carrier)) % 0.48/1.00 (define @t6 () (_ @t5 tptp.relation)) % 0.48/1.00 (define @t7 () (@var "X" tptp.a)) % 0.48/1.00 (define @t8 () (@var "Xa" tptp.a)) % 0.48/1.00 (define @t9 () (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t8) @t7))) % 0.48/1.00 (define @t10 () (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t7) @t8))) % 0.48/1.00 (define @t11 () (_ tptp.member_a @t8)) % 0.48/1.00 (define @t12 () (@list @t8)) % 0.48/1.00 (define @t13 () (_ tptp.member_a @t7)) % 0.48/1.00 (define @t14 () (@list @t7)) % 0.48/1.00 (define @t15 () (@var "X2" tptp.a)) % 0.48/1.00 (define @t16 () (@var "Y" tptp.a)) % 0.48/1.00 (define @t17 () (_ tptp.product_Pair_a_a @t16)) % 0.48/1.00 (define @t18 () (_ @t17 @t15)) % 0.48/1.00 (define @t19 () (_ tptp.member449909584od_a_a @t18)) % 0.48/1.00 (define @t20 () (_ @t19 tptp.relation)) % 0.48/1.00 (define @t21 () (_ tptp.product_Pair_a_a @t15)) % 0.48/1.00 (define @t22 () (_ @t21 @t16)) % 0.48/1.00 (define @t23 () (_ tptp.member449909584od_a_a @t22)) % 0.48/1.00 (define @t24 () (_ @t23 tptp.relation)) % 0.48/1.00 (define @t25 () (= @t15 @t16)) % 0.48/1.00 (define @t26 () (not @t25)) % 0.48/1.00 (define @t27 () (_ tptp.member_a @t16)) % 0.48/1.00 (define @t28 () (_ @t27 tptp.carrier)) % 0.48/1.00 (define @t29 () (_ tptp.member_a @t15)) % 0.48/1.00 (define @t30 () (_ @t29 tptp.carrier)) % 0.48/1.00 (define @t31 () (@list @t15 @t16)) % 0.48/1.00 (define @t32 () (@var "Z" tptp.a)) % 0.48/1.00 (define @t33 () (_ @t17 @t32)) % 0.48/1.00 (define @t34 () (_ tptp.member449909584od_a_a @t33)) % 0.48/1.00 (define @t35 () (_ @t34 tptp.relation)) % 0.48/1.00 (define @t36 () (_ tptp.product_Pair_a_a @t32)) % 0.48/1.00 (define @t37 () (_ tptp.member449909584od_a_a (_ @t36 @t16))) % 0.48/1.00 (define @t38 () (_ @t37 tptp.relation)) % 0.48/1.00 (define @t39 () (_ tptp.member449909584od_a_a (_ @t36 @t15))) % 0.48/1.00 (define @t40 () (_ @t39 tptp.relation)) % 0.48/1.00 (define @t41 () (_ tptp.member449909584od_a_a (_ @t21 @t32))) % 0.48/1.00 (define @t42 () (_ @t41 tptp.relation)) % 0.48/1.00 (define @t43 () (and @t42 (not @t40))) % 0.48/1.00 (define @t44 () (not @t20)) % 0.48/1.00 (define @t45 () (and @t24 @t44)) % 0.48/1.00 (define @t46 () (_ tptp.member_a @t32)) % 0.48/1.00 (define @t47 () (and @t30 @t28 (_ @t46 tptp.carrier))) % 0.48/1.00 (define @t48 () (@list @t15 @t16 @t32)) % 0.48/1.00 (define @t49 () (_ tptp.prefer161218362good_a @t16)) % 0.48/1.00 (define @t50 () (_ @t29 (_ (_ @t49 tptp.carrier) tptp.relation))) % 0.48/1.00 (define @t51 () (@var "Relation" tptp.set_Pr1948701895od_a_a)) % 0.48/1.00 (define @t52 () (@var "Carrier" tptp.set_Product_prod_a_a)) % 0.48/1.00 (define @t53 () (_ (_ tptp.prefer1338892073od_a_a @t52) @t51)) % 0.48/1.00 (define @t54 () (_ (_ tptp.prefer697821563od_a_a @t52) @t51)) % 0.48/1.00 (define @t55 () (@list @t52 @t51)) % 0.48/1.00 (define @t56 () (@var "Relation" tptp.set_Product_prod_a_a)) % 0.48/1.00 (define @t57 () (@var "Carrier" tptp.set_a)) % 0.48/1.00 (define @t58 () (_ (_ tptp.prefer1292084992ence_a @t57) @t56)) % 0.48/1.00 (define @t59 () (_ (_ tptp.prefer719835986ence_a @t57) @t56)) % 0.48/1.00 (define @t60 () (@list @t57 @t56)) % 0.48/1.00 (define @t61 () (@var "Relation" tptp.set_Pr1295299783od_a_a)) % 0.48/1.00 (define @t62 () (@var "Carrier" tptp.set_Pr1948701895od_a_a)) % 0.48/1.00 (define @t63 () (_ (_ tptp.prefer1409946857od_a_a @t62) @t61)) % 0.48/1.00 (define @t64 () (@var "Y3" tptp.produc1572603623od_a_a)) % 0.48/1.00 (define @t65 () (_ tptp.member2057358096od_a_a @t64)) % 0.48/1.00 (define @t66 () (@var "X4" tptp.produc1572603623od_a_a)) % 0.48/1.00 (define @t67 () (_ tptp.member1899387664od_a_a (_ (_ tptp.produc1935643479od_a_a @t66) @t64))) % 0.48/1.00 (define @t68 () (_ @t67 @t61)) % 0.48/1.00 (define @t69 () (@list @t66 @t64)) % 0.48/1.00 (define @t70 () (_ tptp.member2057358096od_a_a @t66)) % 0.48/1.00 (define @t71 () (@var "Relation" tptp.set_Pr2045688071_set_a)) % 0.48/1.00 (define @t72 () (@var "Carrier" tptp.set_set_a)) % 0.48/1.00 (define @t73 () (_ (_ tptp.prefer1710114912_set_a @t72) @t71)) % 0.48/1.00 (define @t74 () (@var "Y3" tptp.set_a)) % 0.48/1.00 (define @t75 () (_ tptp.member_set_a @t74)) % 0.48/1.00 (define @t76 () (@var "X4" tptp.set_a)) % 0.48/1.00 (define @t77 () (_ (_ tptp.produc1928581911_set_a @t76) @t74)) % 0.48/1.00 (define @t78 () (_ tptp.member593450832_set_a @t77)) % 0.48/1.00 (define @t79 () (_ @t78 @t71)) % 0.48/1.00 (define @t80 () (@list @t76 @t74)) % 0.48/1.00 (define @t81 () (_ tptp.member_set_a @t76)) % 0.48/1.00 (define @t82 () (_ (_ tptp.order_359341630od_a_a @t52) @t51)) % 0.48/1.00 (define @t83 () (@var "Y3" tptp.product_prod_a_a)) % 0.48/1.00 (define @t84 () (_ tptp.member449909584od_a_a @t83)) % 0.48/1.00 (define @t85 () (@var "X4" tptp.product_prod_a_a)) % 0.48/1.00 (define @t86 () (_ tptp.produc1474507607od_a_a @t85)) % 0.48/1.00 (define @t87 () (_ @t86 @t83)) % 0.48/1.00 (define @t88 () (_ tptp.member2057358096od_a_a @t87)) % 0.48/1.00 (define @t89 () (_ @t88 @t51)) % 0.48/1.00 (define @t90 () (@list @t85 @t83)) % 0.48/1.00 (define @t91 () (_ tptp.member449909584od_a_a @t85)) % 0.48/1.00 (define @t92 () (_ (_ tptp.order_preorder_on_a @t57) @t56)) % 0.48/1.00 (define @t93 () (@var "Y3" tptp.a)) % 0.48/1.00 (define @t94 () (_ tptp.member_a @t93)) % 0.48/1.00 (define @t95 () (@var "X4" tptp.a)) % 0.48/1.00 (define @t96 () (_ tptp.product_Pair_a_a @t95)) % 0.48/1.00 (define @t97 () (_ @t96 @t93)) % 0.48/1.00 (define @t98 () (_ tptp.member449909584od_a_a @t97)) % 0.48/1.00 (define @t99 () (_ @t98 @t56)) % 0.48/1.00 (define @t100 () (@list @t95 @t93)) % 0.48/1.00 (define @t101 () (_ tptp.member_a @t95)) % 0.48/1.00 (define @t102 () (@var "X2" tptp.produc1572603623od_a_a)) % 0.48/1.00 (define @t103 () (_ tptp.member2057358096od_a_a @t102)) % 0.48/1.00 (define @t104 () (_ @t103 @t62)) % 0.48/1.00 (define @t105 () (@var "Y" tptp.produc1572603623od_a_a)) % 0.48/1.00 (define @t106 () (_ tptp.produc1935643479od_a_a @t102)) % 0.48/1.00 (define @t107 () (_ tptp.member1899387664od_a_a (_ @t106 @t105))) % 0.48/1.00 (define @t108 () (_ @t107 @t61)) % 0.48/1.00 (define @t109 () (@list @t62 @t61 @t102 @t105)) % 0.48/1.00 (define @t110 () (@var "X2" tptp.set_a)) % 0.48/1.00 (define @t111 () (_ tptp.member_set_a @t110)) % 0.48/1.00 (define @t112 () (_ @t111 @t72)) % 0.48/1.00 (define @t113 () (@var "Y" tptp.set_a)) % 0.48/1.00 (define @t114 () (_ tptp.produc1928581911_set_a @t110)) % 0.48/1.00 (define @t115 () (_ @t114 @t113)) % 0.48/1.00 (define @t116 () (_ tptp.member593450832_set_a @t115)) % 0.48/1.00 (define @t117 () (_ @t116 @t71)) % 0.48/1.00 (define @t118 () (@list @t72 @t71 @t110 @t113)) % 0.48/1.00 (define @t119 () (@var "X2" tptp.product_prod_a_a)) % 0.48/1.00 (define @t120 () (_ tptp.member449909584od_a_a @t119)) % 0.48/1.00 (define @t121 () (_ @t120 @t52)) % 0.48/1.00 (define @t122 () (@var "Y" tptp.product_prod_a_a)) % 0.48/1.00 (define @t123 () (_ tptp.produc1474507607od_a_a @t119)) % 0.48/1.00 (define @t124 () (_ tptp.member2057358096od_a_a (_ @t123 @t122))) % 0.48/1.00 (define @t125 () (_ @t124 @t51)) % 0.48/1.00 (define @t126 () (@list @t52 @t51 @t119 @t122)) % 0.48/1.00 (define @t127 () (_ @t29 @t57)) % 0.48/1.00 (define @t128 () (_ @t23 @t56)) % 0.48/1.00 (define @t129 () (@list @t57 @t56 @t15 @t16)) % 0.48/1.00 (define @t130 () (@var "Z" tptp.set_a)) % 0.48/1.00 (define @t131 () (_ tptp.produc1928581911_set_a @t130)) % 0.48/1.00 (define @t132 () (_ (_ tptp.member593450832_set_a (_ @t131 @t110)) @t71)) % 0.48/1.00 (define @t133 () (_ (_ tptp.member593450832_set_a (_ @t114 @t130)) @t71)) % 0.48/1.00 (define @t134 () (_ tptp.member593450832_set_a (_ @t131 @t113))) % 0.48/1.00 (define @t135 () (_ @t134 @t71)) % 0.48/1.00 (define @t136 () (_ tptp.produc1928581911_set_a @t113)) % 0.48/1.00 (define @t137 () (_ (_ tptp.member593450832_set_a (_ @t136 @t130)) @t71)) % 0.48/1.00 (define @t138 () (_ (_ tptp.member593450832_set_a (_ @t136 @t110)) @t71)) % 0.48/1.00 (define @t139 () (@list @t72 @t71 @t110 @t113 @t130)) % 0.48/1.00 (define @t140 () (@var "Z" tptp.product_prod_a_a)) % 0.48/1.00 (define @t141 () (_ tptp.produc1474507607od_a_a @t140)) % 0.48/1.00 (define @t142 () (_ (_ tptp.member2057358096od_a_a (_ @t141 @t119)) @t51)) % 0.48/1.00 (define @t143 () (_ (_ tptp.member2057358096od_a_a (_ @t123 @t140)) @t51)) % 0.48/1.00 (define @t144 () (_ tptp.member2057358096od_a_a (_ @t141 @t122))) % 0.48/1.00 (define @t145 () (_ @t144 @t51)) % 0.48/1.00 (define @t146 () (_ tptp.produc1474507607od_a_a @t122)) % 0.48/1.00 (define @t147 () (_ (_ tptp.member2057358096od_a_a (_ @t146 @t140)) @t51)) % 0.48/1.00 (define @t148 () (_ (_ tptp.member2057358096od_a_a (_ @t146 @t119)) @t51)) % 0.48/1.00 (define @t149 () (@list @t52 @t51 @t119 @t122 @t140)) % 0.48/1.00 (define @t150 () (_ @t39 @t56)) % 0.48/1.00 (define @t151 () (_ @t41 @t56)) % 0.48/1.00 (define @t152 () (_ @t37 @t56)) % 0.48/1.00 (define @t153 () (_ @t34 @t56)) % 0.48/1.00 (define @t154 () (_ @t19 @t56)) % 0.48/1.00 (define @t155 () (@list @t57 @t56 @t15 @t16 @t32)) % 0.48/1.00 (define @t156 () (@var "X" tptp.set_a)) % 0.48/1.00 (define @t157 () (@var "Xa" tptp.set_a)) % 0.48/1.00 (define @t158 () (_ (_ tptp.prefer484977842_set_a @t72) @t71)) % 0.48/1.00 (define @t159 () (@var "X" tptp.product_prod_a_a)) % 0.48/1.00 (define @t160 () (@var "Xa" tptp.product_prod_a_a)) % 0.48/1.00 (define @t161 () (_ (_ tptp.total_1490170027od_a_a @t52) @t51)) % 0.48/1.00 (define @t162 () (_ (_ tptp.total_on_a @t57) @t56)) % 0.48/1.00 (define @t163 () (_ tptp.produc1935643479od_a_a @t105)) % 0.48/1.00 (define @t164 () (_ (_ tptp.member1899387664od_a_a (_ @t163 @t102)) @t61)) % 0.48/1.00 (define @t165 () (_ tptp.member2057358096od_a_a @t105)) % 0.48/1.00 (define @t166 () (_ @t165 @t62)) % 0.48/1.00 (define @t167 () (_ (_ tptp.prefer1828051771od_a_a @t62) @t61)) % 0.48/1.00 (define @t168 () (= @t110 @t113)) % 0.48/1.00 (define @t169 () (_ tptp.member_set_a @t113)) % 0.48/1.00 (define @t170 () (_ @t169 @t72)) % 0.48/1.00 (define @t171 () (= @t119 @t122)) % 0.48/1.00 (define @t172 () (_ tptp.member449909584od_a_a @t122)) % 0.48/1.00 (define @t173 () (_ @t172 @t52)) % 0.48/1.00 (define @t174 () (_ @t27 @t57)) % 0.48/1.00 (define @t175 () (and @t133 (not @t132))) % 0.48/1.00 (define @t176 () (not @t138)) % 0.48/1.00 (define @t177 () (and @t117 @t176)) % 0.48/1.00 (define @t178 () (and @t143 (not @t142))) % 0.48/1.00 (define @t179 () (not @t148)) % 0.48/1.00 (define @t180 () (and @t125 @t179)) % 0.48/1.00 (define @t181 () (and @t151 (not @t150))) % 0.48/1.00 (define @t182 () (not @t154)) % 0.48/1.00 (define @t183 () (and @t128 @t182)) % 0.48/1.00 (define @t184 () (@var "Z" tptp.produc1572603623od_a_a)) % 0.48/1.00 (define @t185 () (_ (_ tptp.member1899387664od_a_a (_ @t106 @t184)) @t61)) % 0.48/1.00 (define @t186 () (_ (_ tptp.member1899387664od_a_a (_ @t163 @t184)) @t61)) % 0.48/1.00 (define @t187 () (_ tptp.member2057358096od_a_a @t184)) % 0.48/1.00 (define @t188 () (and @t104 @t166 (_ @t187 @t62))) % 0.48/1.00 (define @t189 () (@list @t62 @t61 @t102 @t105 @t184)) % 0.48/1.00 (define @t190 () (_ tptp.member_set_a @t130)) % 0.48/1.00 (define @t191 () (and @t112 @t170 (_ @t190 @t72))) % 0.48/1.00 (define @t192 () (_ tptp.member449909584od_a_a @t140)) % 0.48/1.00 (define @t193 () (and @t121 @t173 (_ @t192 @t52))) % 0.48/1.00 (define @t194 () (and @t127 @t174 (_ @t46 @t57))) % 0.48/1.00 (define @t195 () (not @t164)) % 0.48/1.00 (define @t196 () (and @t108 @t195)) % 0.48/1.00 (define @t197 () (_ tptp.produc1935643479od_a_a @t184)) % 0.48/1.00 (define @t198 () (_ tptp.member1899387664od_a_a (_ @t197 @t105))) % 0.48/1.00 (define @t199 () (_ @t198 @t61)) % 0.48/1.00 (define @t200 () (_ tptp.prefer1676310729than_a @t16)) % 0.48/1.00 (define @t201 () (_ (_ @t200 tptp.carrier) tptp.relation)) % 0.48/1.00 (define @t202 () (_ tptp.prefer436369274d_as_a @t16)) % 0.48/1.00 (define @t203 () (@var "Y22" tptp.product_prod_a_a)) % 0.48/1.00 (define @t204 () (@var "X22" tptp.product_prod_a_a)) % 0.48/1.00 (define @t205 () (@var "Y1" tptp.product_prod_a_a)) % 0.48/1.00 (define @t206 () (@var "X1" tptp.product_prod_a_a)) % 0.48/1.00 (define @t207 () (@var "Y22" tptp.set_a)) % 0.48/1.00 (define @t208 () (@var "X22" tptp.set_a)) % 0.48/1.00 (define @t209 () (@var "Y1" tptp.set_a)) % 0.48/1.00 (define @t210 () (@var "X1" tptp.set_a)) % 0.48/1.00 (define @t211 () (@var "Y22" tptp.a)) % 0.48/1.00 (define @t212 () (@var "X22" tptp.a)) % 0.48/1.00 (define @t213 () (@var "Y1" tptp.a)) % 0.48/1.00 (define @t214 () (@var "X1" tptp.a)) % 0.48/1.00 (define @t215 () (_ (_ tptp.product_Pair_a_a @t214) @t212)) % 0.48/1.00 (define @t216 () (@var "B2" tptp.product_prod_a_a)) % 0.48/1.00 (define @t217 () (@var "B" tptp.product_prod_a_a)) % 0.48/1.00 (define @t218 () (= @t217 @t216)) % 0.48/1.00 (define @t219 () (@var "A2" tptp.product_prod_a_a)) % 0.48/1.00 (define @t220 () (@var "A" tptp.product_prod_a_a)) % 0.48/1.00 (define @t221 () (= @t220 @t219)) % 0.48/1.00 (define @t222 () (_ tptp.produc1474507607od_a_a @t220)) % 0.48/1.00 (define @t223 () (_ @t222 @t217)) % 0.48/1.00 (define @t224 () (= @t223 (_ (_ tptp.produc1474507607od_a_a @t219) @t216))) % 0.48/1.00 (define @t225 () (@list @t220 @t217 @t219 @t216)) % 0.48/1.00 (define @t226 () (@var "B2" tptp.set_a)) % 0.48/1.00 (define @t227 () (@var "B" tptp.set_a)) % 0.48/1.01 (define @t228 () (= @t227 @t226)) % 0.48/1.01 (define @t229 () (@var "A2" tptp.set_a)) % 0.48/1.01 (define @t230 () (@var "A" tptp.set_a)) % 0.48/1.01 (define @t231 () (= @t230 @t229)) % 0.48/1.01 (define @t232 () (_ tptp.produc1928581911_set_a @t230)) % 0.48/1.01 (define @t233 () (_ @t232 @t227)) % 0.48/1.01 (define @t234 () (= @t233 (_ (_ tptp.produc1928581911_set_a @t229) @t226))) % 0.48/1.01 (define @t235 () (@list @t230 @t227 @t229 @t226)) % 0.48/1.01 (define @t236 () (@var "B2" tptp.a)) % 0.48/1.01 (define @t237 () (@var "B" tptp.a)) % 0.48/1.01 (define @t238 () (= @t237 @t236)) % 0.48/1.01 (define @t239 () (@var "A2" tptp.a)) % 0.48/1.01 (define @t240 () (@var "A" tptp.a)) % 0.48/1.01 (define @t241 () (= @t240 @t239)) % 0.48/1.01 (define @t242 () (_ tptp.product_Pair_a_a @t240)) % 0.48/1.01 (define @t243 () (_ @t242 @t237)) % 0.48/1.01 (define @t244 () (= @t243 (_ (_ tptp.product_Pair_a_a @t239) @t236))) % 0.48/1.01 (define @t245 () (@list @t240 @t237 @t239 @t236)) % 0.48/1.01 (define @t246 () (@var "R" tptp.set_Pr1295299783od_a_a)) % 0.48/1.01 (define @t247 () (@var "A3" tptp.set_Pr1948701895od_a_a)) % 0.48/1.01 (define @t248 () (@var "R" tptp.set_Pr2045688071_set_a)) % 0.48/1.01 (define @t249 () (@var "A3" tptp.set_set_a)) % 0.48/1.01 (define @t250 () (@var "R" tptp.set_Pr1948701895od_a_a)) % 0.48/1.01 (define @t251 () (@var "A3" tptp.set_Product_prod_a_a)) % 0.48/1.01 (define @t252 () (= @t85 @t83)) % 0.48/1.01 (define @t253 () (_ @t84 @t251)) % 0.48/1.01 (define @t254 () (_ @t91 @t251)) % 0.48/1.01 (define @t255 () (@var "R" tptp.set_Product_prod_a_a)) % 0.48/1.01 (define @t256 () (@var "A3" tptp.set_a)) % 0.48/1.01 (define @t257 () (_ tptp.product_Pair_a_a @t93)) % 0.48/1.01 (define @t258 () (_ @t98 @t255)) % 0.48/1.01 (define @t259 () (= @t95 @t93)) % 0.48/1.01 (define @t260 () (_ @t94 @t256)) % 0.48/1.01 (define @t261 () (_ @t101 @t256)) % 0.48/1.01 (define @t262 () (@var "A" tptp.produc1572603623od_a_a)) % 0.48/1.01 (define @t263 () (_ tptp.produc1935643479od_a_a @t262)) % 0.48/1.01 (define @t264 () (_ tptp.member2057358096od_a_a @t262)) % 0.48/1.01 (define @t265 () (_ @t264 @t247)) % 0.48/1.01 (define @t266 () (_ (_ tptp.refl_o198693862od_a_a @t247) @t246)) % 0.48/1.01 (define @t267 () (_ (_ tptp.member_set_a @t230) @t249)) % 0.48/1.01 (define @t268 () (_ (_ tptp.refl_on_set_a @t249) @t248)) % 0.48/1.01 (define @t269 () (_ tptp.member2057358096od_a_a (_ @t222 @t220))) % 0.48/1.01 (define @t270 () (_ tptp.member449909584od_a_a @t220)) % 0.48/1.01 (define @t271 () (_ @t270 @t251)) % 0.48/1.01 (define @t272 () (_ (_ tptp.refl_o1298442278od_a_a @t251) @t250)) % 0.48/1.01 (define @t273 () (_ @t242 @t240)) % 0.48/1.01 (define @t274 () (_ tptp.member449909584od_a_a @t273)) % 0.48/1.01 (define @t275 () (_ tptp.member_a @t240)) % 0.48/1.01 (define @t276 () (_ @t275 @t256)) % 0.48/1.01 (define @t277 () (_ tptp.refl_on_a @t256)) % 0.48/1.01 (define @t278 () (_ @t277 @t255)) % 0.48/1.01 (define @t279 () (_ @t107 @t246)) % 0.48/1.01 (define @t280 () (@list @t247 @t246 @t102 @t105)) % 0.48/1.01 (define @t281 () (_ @t116 @t248)) % 0.48/1.01 (define @t282 () (@list @t249 @t248 @t110 @t113)) % 0.48/1.01 (define @t283 () (_ @t120 @t251)) % 0.48/1.01 (define @t284 () (_ @t124 @t250)) % 0.48/1.01 (define @t285 () (@list @t251 @t250 @t119 @t122)) % 0.48/1.01 (define @t286 () (_ @t29 @t256)) % 0.48/1.01 (define @t287 () (_ @t23 @t255)) % 0.48/1.01 (define @t288 () (@list @t256 @t255 @t15 @t16)) % 0.48/1.01 (define @t289 () (@var "B" tptp.produc1572603623od_a_a)) % 0.48/1.01 (define @t290 () (_ tptp.member449909584od_a_a @t217)) % 0.48/1.01 (define @t291 () (_ @t290 @t251)) % 0.48/1.01 (define @t292 () (_ tptp.member2057358096od_a_a @t223)) % 0.48/1.01 (define @t293 () (_ tptp.member_a @t237)) % 0.48/1.01 (define @t294 () (_ @t293 @t256)) % 0.48/1.01 (define @t295 () (_ tptp.member449909584od_a_a @t243)) % 0.48/1.01 (define @t296 () (_ @t295 @t255)) % 0.48/1.01 (define @t297 () (@var "Pr" tptp.set_Pr1295299783od_a_a)) % 0.48/1.01 (define @t298 () (@var "B3" tptp.set_Pr1948701895od_a_a)) % 0.48/1.01 (define @t299 () (_ tptp.prefer55414563od_a_a @t105)) % 0.48/1.01 (define @t300 () (_ (_ @t299 @t298) @t297)) % 0.48/1.01 (define @t301 () (@var "Pr" tptp.set_Pr2045688071_set_a)) % 0.48/1.01 (define @t302 () (@var "B3" tptp.set_set_a)) % 0.48/1.01 (define @t303 () (_ tptp.prefer1203288218_set_a @t113)) % 0.48/1.01 (define @t304 () (_ (_ @t303 @t302) @t301)) % 0.48/1.01 (define @t305 () (@var "Pr" tptp.set_Pr1948701895od_a_a)) % 0.48/1.01 (define @t306 () (@var "B3" tptp.set_Product_prod_a_a)) % 0.48/1.01 (define @t307 () (_ tptp.prefer477097315od_a_a @t122)) % 0.48/1.01 (define @t308 () (_ (_ @t307 @t306) @t305)) % 0.48/1.01 (define @t309 () (@var "Pr" tptp.set_Product_prod_a_a)) % 0.48/1.01 (define @t310 () (@var "B3" tptp.set_a)) % 0.48/1.01 (define @t311 () (_ (_ @t49 @t310) @t309)) % 0.48/1.01 (define @t312 () (@var "Prod" tptp.produc1572603623od_a_a)) % 0.48/1.01 (define @t313 () (@var "P" (-> tptp.produc1572603623od_a_a Bool))) % 0.48/1.01 (define @t314 () (@var "B4" tptp.product_prod_a_a)) % 0.48/1.01 (define @t315 () (@var "A5" tptp.product_prod_a_a)) % 0.48/1.01 (define @t316 () (_ tptp.produc1474507607od_a_a @t315)) % 0.48/1.01 (define @t317 () (_ @t316 @t314)) % 0.48/1.01 (define @t318 () (@list @t315 @t314)) % 0.48/1.01 (define @t319 () (forall @t318 (_ @t313 @t317))) % 0.48/1.01 (define @t320 () (@var "Prod" tptp.produc1691597095_set_a)) % 0.48/1.01 (define @t321 () (@var "P" (-> tptp.produc1691597095_set_a Bool))) % 0.48/1.01 (define @t322 () (@var "B4" tptp.set_a)) % 0.48/1.01 (define @t323 () (@var "A5" tptp.set_a)) % 0.48/1.01 (define @t324 () (_ (_ tptp.produc1928581911_set_a @t323) @t322)) % 0.48/1.01 (define @t325 () (@list @t323 @t322)) % 0.48/1.01 (define @t326 () (forall @t325 (_ @t321 @t324))) % 0.48/1.01 (define @t327 () (@var "Prod" tptp.product_prod_a_a)) % 0.48/1.01 (define @t328 () (@var "P" (-> tptp.product_prod_a_a Bool))) % 0.48/1.01 (define @t329 () (@var "B4" tptp.a)) % 0.48/1.01 (define @t330 () (@var "A5" tptp.a)) % 0.48/1.01 (define @t331 () (_ tptp.product_Pair_a_a @t330)) % 0.48/1.01 (define @t332 () (_ @t331 @t329)) % 0.48/1.01 (define @t333 () (@list @t330 @t329)) % 0.48/1.01 (define @t334 () (forall @t333 (_ @t328 @t332))) % 0.48/1.01 (define @t335 () (@list @t105)) % 0.48/1.01 (define @t336 () (@var "Y" tptp.produc1691597095_set_a)) % 0.48/1.01 (define @t337 () (@var "P" (-> tptp.a Bool))) % 0.48/1.01 (define @t338 () (_ tptp.collect_a @t337)) % 0.48/1.01 (define @t339 () (_ tptp.collec645855634od_a_a @t328)) % 0.48/1.01 (define @t340 () (@var "X3" tptp.produc1572603623od_a_a)) % 0.48/1.01 (define @t341 () (_ tptp.member2057358096od_a_a @t340)) % 0.48/1.01 (define @t342 () (@var "X3" tptp.a)) % 0.48/1.01 (define @t343 () (_ tptp.member_a @t342)) % 0.48/1.01 (define @t344 () (_ @t343 @t256)) % 0.48/1.01 (define @t345 () (@list @t342)) % 0.48/1.01 (define @t346 () (@list @t256)) % 0.48/1.01 (define @t347 () (@var "X3" tptp.product_prod_a_a)) % 0.48/1.01 (define @t348 () (_ tptp.member449909584od_a_a @t347)) % 0.48/1.01 (define @t349 () (_ @t348 @t251)) % 0.48/1.01 (define @t350 () (@list @t347)) % 0.48/1.01 (define @t351 () (@list @t251)) % 0.48/1.01 (define @t352 () (@var "Q" (-> tptp.product_prod_a_a Bool))) % 0.48/1.01 (define @t353 () (@list @t85)) % 0.48/1.01 (define @t354 () (@var "Q" (-> tptp.a Bool))) % 0.48/1.01 (define @t355 () (_ tptp.collect_a @t354)) % 0.48/1.01 (define @t356 () (_ @t354 @t95)) % 0.48/1.01 (define @t357 () (_ @t337 @t95)) % 0.48/1.01 (define @t358 () (@list @t95)) % 0.48/1.01 (define @t359 () (@list @t337 @t354)) % 0.48/1.01 (define @t360 () (@var "C" tptp.a)) % 0.48/1.01 (define @t361 () (_ @t316 (_ (_ tptp.product_Pair_a_a @t329) @t360))) % 0.48/1.01 (define @t362 () (@list @t315 @t329 @t360)) % 0.48/1.01 (define @t363 () (@var "P2" tptp.produc1572603623od_a_a)) % 0.48/1.01 (define @t364 () (@var "P2" tptp.produc1691597095_set_a)) % 0.48/1.01 (define @t365 () (@var "P2" tptp.product_prod_a_a)) % 0.48/1.01 (define @t366 () (_ (_ (_ tptp.prefer926864306od_a_a @t105) @t62) @t61)) % 0.48/1.01 (define @t367 () (_ (_ (_ tptp.prefer1671525929_set_a @t113) @t72) @t71)) % 0.48/1.01 (define @t368 () (_ (_ (_ tptp.prefer1498087410od_a_a @t122) @t52) @t51)) % 0.48/1.01 (define @t369 () (_ (_ @t200 @t57) @t56)) % 0.48/1.01 (define @t370 () (_ @t103 (_ (_ @t299 @t62) @t61))) % 0.48/1.01 (define @t371 () (_ @t111 (_ (_ @t303 @t72) @t71))) % 0.48/1.01 (define @t372 () (_ @t120 (_ (_ @t307 @t52) @t51))) % 0.48/1.01 (define @t373 () (_ @t29 (_ (_ @t49 @t57) @t56))) % 0.48/1.01 (define @t374 () (not (= tptp.carrier tptp.bot_bot_set_a))) % 0.48/1.01 (define @t375 () (_ tptp.prefer1676310729than_a @t15)) % 0.48/1.01 (define @t376 () (_ (_ @t375 tptp.carrier) tptp.relation)) % 0.48/1.01 (define @t377 () (_ (_ tptp.ord_less_eq_set_a @t201) @t376)) % 0.48/1.01 (define @t378 () (@list @t15)) % 0.48/1.01 (define @t379 () (_ (_ tptp.prefer1064779160od_a_a @t52) @t51)) % 0.48/1.01 (define @t380 () (_ (_ tptp.prefer580340847ioms_a @t57) @t56)) % 0.48/1.01 (define @t381 () (@list @t255)) % 0.48/1.01 (define @t382 () (_ (_ (_ tptp.prefer1498087410od_a_a @t119) @t52) @t51)) % 0.48/1.01 (define @t383 () (_ (_ tptp.ord_le1824328871od_a_a @t368) @t382)) % 0.48/1.01 (define @t384 () (_ (_ @t375 @t57) @t56)) % 0.48/1.01 (define @t385 () (_ (_ tptp.ord_less_eq_set_a @t369) @t384)) % 0.48/1.01 (define @t386 () (_ (_ (_ tptp.prefer926864306od_a_a @t102) @t62) @t61)) % 0.48/1.01 (define @t387 () (not (= @t62 tptp.bot_bo1116205875od_a_a))) % 0.48/1.01 (define @t388 () (not (= @t52 tptp.bot_bo2131659635od_a_a))) % 0.48/1.01 (define @t389 () (not (= @t57 tptp.bot_bot_set_a))) % 0.48/1.01 (define @t390 () (= tptp.prefer580340847ioms_a tptp.total_on_a)) % 0.48/1.01 (define @t391 () (_ (_ tptp.ord_le318720350_set_a @t367) (_ (_ (_ tptp.prefer1671525929_set_a @t110) @t72) @t71))) % 0.48/1.01 (define @t392 () (= @t251 tptp.bot_bo2131659635od_a_a)) % 0.48/1.01 (define @t393 () (_ tptp.ord_le1824328871od_a_a @t251)) % 0.48/1.01 (define @t394 () (_ @t393 tptp.bot_bo2131659635od_a_a)) % 0.48/1.01 (define @t395 () (= @t256 tptp.bot_bot_set_a)) % 0.48/1.01 (define @t396 () (_ tptp.ord_less_eq_set_a @t256)) % 0.48/1.01 (define @t397 () (_ @t396 tptp.bot_bot_set_a)) % 0.48/1.01 (define @t398 () (_ tptp.ord_less_eq_set_a tptp.bot_bot_set_a)) % 0.48/1.01 (define @t399 () (@var "D" tptp.set_a)) % 0.48/1.01 (define @t400 () (_ tptp.ord_less_eq_set_a @t227)) % 0.48/1.01 (define @t401 () (@var "C2" tptp.set_a)) % 0.48/1.01 (define @t402 () (_ tptp.ord_less_eq_set_a @t230)) % 0.48/1.01 (define @t403 () (_ @t402 @t401)) % 0.48/1.01 (define @t404 () (_ @t393 @t306)) % 0.48/1.01 (define @t405 () (_ @t396 @t310)) % 0.48/1.01 (define @t406 () (@list @t256 @t310)) % 0.48/1.01 (define @t407 () (= @t256 @t310)) % 0.48/1.01 (define @t408 () (_ tptp.ord_less_eq_set_a @t310)) % 0.48/1.01 (define @t409 () (_ @t408 @t256)) % 0.48/1.01 (define @t410 () (@var "C2" tptp.product_prod_a_a)) % 0.48/1.01 (define @t411 () (_ tptp.member449909584od_a_a @t410)) % 0.48/1.01 (define @t412 () (@var "C2" tptp.a)) % 0.48/1.01 (define @t413 () (_ tptp.member_a @t412)) % 0.48/1.01 (define @t414 () (_ @t337 @t342)) % 0.48/1.01 (define @t415 () (forall @t345 (not @t414))) % 0.48/1.01 (define @t416 () (@list @t337)) % 0.48/1.01 (define @t417 () (= @t338 tptp.bot_bot_set_a)) % 0.48/1.01 (define @t418 () (@var "S" tptp.set_Product_prod_a_a)) % 0.48/1.01 (define @t419 () (not @t392)) % 0.48/1.01 (define @t420 () (not @t395)) % 0.48/1.01 (define @t421 () (not @t271)) % 0.48/1.01 (define @t422 () (not @t276)) % 0.48/1.01 (define @t423 () (@list @t220)) % 0.48/1.01 (define @t424 () (@list @t240)) % 0.48/1.01 (define @t425 () (_ (_ tptp.ord_less_eq_set_a @t338) @t355)) % 0.48/1.01 (define @t426 () (@var "A4" tptp.set_a)) % 0.48/1.01 (define @t427 () (@var "B5" tptp.set_a)) % 0.48/1.01 (define @t428 () (@list @t426 @t427)) % 0.48/1.01 (define @t429 () (@var "Z2" tptp.set_a)) % 0.48/1.01 (define @t430 () (@var "Y4" tptp.set_a)) % 0.48/1.01 (define @t431 () (lambda (@list @t430 @t429) (= @t430 @t429))) % 0.48/1.01 (define @t432 () (@var "C3" tptp.set_a)) % 0.48/1.01 (define @t433 () (@var "B5" tptp.set_Product_prod_a_a)) % 0.48/1.01 (define @t434 () (@var "A4" tptp.set_Product_prod_a_a)) % 0.48/1.01 (define @t435 () (_ @t348 @t434)) % 0.48/1.01 (define @t436 () (@list @t434 @t433)) % 0.48/1.01 (define @t437 () (_ @t343 @t426)) % 0.48/1.01 (define @t438 () (_ @t411 @t251)) % 0.48/1.01 (define @t439 () (_ @t413 @t256)) % 0.48/1.01 (define @t440 () (_ @t120 @t306)) % 0.48/1.01 (define @t441 () (_ @t29 @t310)) % 0.48/1.01 (define @t442 () (@var "Y5" tptp.set_a)) % 0.48/1.01 (define @t443 () (@var "X5" tptp.set_a)) % 0.48/1.01 (define @t444 () (_ tptp.ord_less_eq_set_a @t113)) % 0.48/1.01 (define @t445 () (_ tptp.ord_less_eq_set_a @t110)) % 0.48/1.01 (define @t446 () (= @t230 tptp.bot_bot_set_a)) % 0.48/1.01 (define @t447 () (_ @t402 tptp.bot_bot_set_a)) % 0.48/1.01 (define @t448 () (@list @t230)) % 0.48/1.01 (define @t449 () (@var "F" (-> tptp.set_a tptp.set_a))) % 0.48/1.01 (define @t450 () (forall @t80 (=> (_ (_ tptp.ord_less_eq_set_a @t76) @t74) (_ (_ tptp.ord_less_eq_set_a (_ @t449 @t76)) (_ @t449 @t74))))) % 0.48/1.01 (define @t451 () (_ @t400 @t401)) % 0.48/1.01 (define @t452 () (=> @t451 (=> @t450 (_ @t402 (_ @t449 @t401))))) % 0.48/1.01 (define @t453 () (_ @t449 @t227)) % 0.48/1.01 (define @t454 () (@list @t230 @t449 @t227 @t401)) % 0.48/1.01 (define @t455 () (=> @t450 (_ (_ tptp.ord_less_eq_set_a (_ @t449 @t230)) @t401))) % 0.48/1.01 (define @t456 () (_ @t402 @t227)) % 0.48/1.01 (define @t457 () (@list @t230 @t227 @t449 @t401)) % 0.48/1.01 (define @t458 () (@var "X3" tptp.set_a)) % 0.48/1.01 (define @t459 () (@var "Y2" tptp.set_a)) % 0.48/1.01 (define @t460 () (@list @t458 @t459)) % 0.48/1.01 (define @t461 () (_ @t444 @t110)) % 0.48/1.01 (define @t462 () (_ @t445 @t113)) % 0.48/1.01 (define @t463 () (@list @t110 @t113)) % 0.48/1.01 (define @t464 () (=> @t451 @t403)) % 0.48/1.01 (define @t465 () (@list @t230 @t227 @t401)) % 0.48/1.01 (define @t466 () (@var "A6" tptp.set_a)) % 0.48/1.01 (define @t467 () (@var "B6" tptp.set_a)) % 0.48/1.01 (define @t468 () (_ (_ tptp.ord_less_eq_set_a @t467) @t466)) % 0.48/1.01 (define @t469 () (_ (_ tptp.ord_less_eq_set_a @t466) @t467)) % 0.48/1.01 (define @t470 () (@list @t466 @t467)) % 0.48/1.01 (define @t471 () (= @t230 @t227)) % 0.48/1.01 (define @t472 () (_ @t400 @t230)) % 0.48/1.01 (define @t473 () (_ tptp.ord_less_eq_set_a @t401)) % 0.48/1.01 (define @t474 () (@var "R3" tptp.set_Product_prod_a_a)) % 0.48/1.01 (define @t475 () (@var "S2" tptp.a)) % 0.48/1.01 (define @t476 () (@var "R" tptp.a)) % 0.48/1.01 (define @t477 () (_ tptp.product_Pair_a_a @t476)) % 0.48/1.01 (define @t478 () (@var "S" tptp.a)) % 0.48/1.01 (define @t479 () (_ tptp.trans_a @t255)) % 0.48/1.01 (define @t480 () (@var "Z3" tptp.a)) % 0.48/1.01 (define @t481 () (_ tptp.id_on_1182990020od_a_a @t251)) % 0.48/1.01 (define @t482 () (@list @t220 @t251)) % 0.48/1.01 (define @t483 () (_ tptp.id_on_a @t256)) % 0.48/1.01 (define @t484 () (@list @t240 @t256)) % 0.48/1.01 (define @t485 () (= @t220 @t217)) % 0.48/1.01 (define @t486 () (@list @t220 @t217 @t251)) % 0.48/1.01 (define @t487 () (= @t240 @t237)) % 0.48/1.01 (define @t488 () (@list @t240 @t237 @t256)) % 0.48/1.01 (define @t489 () (@var "C2" tptp.produc1572603623od_a_a)) % 0.48/1.01 (define @t490 () (_ tptp.order_under_a @t255)) % 0.48/1.01 (define @t491 () (@var "P" (-> tptp.set_a Bool))) % 0.48/1.01 (define @t492 () (_ tptp.order_Greatest_set_a @t491)) % 0.48/1.01 (define @t493 () (@var "Q" (-> tptp.set_a Bool))) % 0.48/1.01 (define @t494 () (@var "Y6" tptp.set_a)) % 0.48/1.01 (define @t495 () (forall (@list @t74) (=> (_ @t491 @t74) (_ (_ tptp.ord_less_eq_set_a @t74) @t110)))) % 0.48/1.01 (define @t496 () (_ @t491 @t110)) % 0.48/1.01 (define @t497 () (_ tptp.insert_a @t237)) % 0.48/1.01 (define @t498 () (_ @t275 (_ @t497 @t256))) % 0.48/1.01 (define @t499 () (_ tptp.insert1116662519od_a_a @t217)) % 0.48/1.01 (define @t500 () (_ @t270 (_ @t499 @t251))) % 0.48/1.01 (define @t501 () (_ @t497 @t310)) % 0.48/1.01 (define @t502 () (_ @t275 @t501)) % 0.48/1.01 (define @t503 () (_ @t275 @t310)) % 0.48/1.01 (define @t504 () (@list @t240 @t310 @t237)) % 0.48/1.01 (define @t505 () (_ @t499 @t306)) % 0.48/1.01 (define @t506 () (_ @t270 @t505)) % 0.48/1.01 (define @t507 () (_ @t270 @t306)) % 0.48/1.01 (define @t508 () (@list @t220 @t306 @t217)) % 0.48/1.01 (define @t509 () (_ tptp.insert1116662519od_a_a @t220)) % 0.48/1.01 (define @t510 () (_ @t509 tptp.bot_bo2131659635od_a_a)) % 0.48/1.01 (define @t511 () (_ tptp.insert_a @t240)) % 0.48/1.01 (define @t512 () (_ @t511 tptp.bot_bot_set_a)) % 0.48/1.01 (define @t513 () (_ tptp.insert1116662519od_a_a @t119)) % 0.48/1.01 (define @t514 () (_ @t513 @t251)) % 0.48/1.01 (define @t515 () (@list @t119 @t251 @t306)) % 0.48/1.01 (define @t516 () (_ tptp.insert_a @t15)) % 0.48/1.01 (define @t517 () (_ @t516 @t256)) % 0.48/1.01 (define @t518 () (@list @t15 @t256 @t310)) % 0.48/1.01 (define @t519 () (_ @t497 tptp.bot_bot_set_a)) % 0.48/1.01 (define @t520 () (and @t487 (_ @t396 @t519))) % 0.48/1.01 (define @t521 () (_ @t511 @t256)) % 0.48/1.01 (define @t522 () (_ (_ tptp.product_Pair_a_a (_ tptp.product_fst_a_a @t327)) (_ tptp.product_snd_a_a @t327))) % 0.48/1.01 (define @t523 () (@list @t327)) % 0.48/1.01 (define @t524 () (@var "X6" tptp.set_Product_prod_a_a)) % 0.48/1.01 (define @t525 () (@var "X6" tptp.set_a)) % 0.48/1.01 (define @t526 () (_ tptp.ord_less_eq_set_a @t525)) % 0.48/1.01 (define @t527 () (@var "D" tptp.a)) % 0.48/1.01 (define @t528 () (= @t217 @t220)) % 0.48/1.01 (define @t529 () (_ @t290 @t510)) % 0.48/1.01 (define @t530 () (@list @t217 @t220)) % 0.48/1.01 (define @t531 () (= @t237 @t240)) % 0.48/1.01 (define @t532 () (_ @t293 @t512)) % 0.48/1.01 (define @t533 () (@list @t237 @t240)) % 0.48/1.01 (define @t534 () (_ @t511 @t310)) % 0.48/1.01 (define @t535 () (_ @t513 @t306)) % 0.48/1.01 (define @t536 () (not @t283)) % 0.48/1.01 (define @t537 () (_ @t516 @t310)) % 0.48/1.01 (define @t538 () (not @t286)) % 0.48/1.01 (define @t539 () (@var "D2" tptp.set_a)) % 0.48/1.01 (define @t540 () (@var "B7" tptp.set_a)) % 0.48/1.01 (define @t541 () (@list @t540)) % 0.48/1.01 (define @t542 () (@var "B7" tptp.set_Product_prod_a_a)) % 0.48/1.01 (define @t543 () (@list @t542)) % 0.48/1.01 (define @t544 () (@var "C4" tptp.set_a)) % 0.48/1.01 (define @t545 () (not @t487)) % 0.48/1.01 (define @t546 () (@var "C4" tptp.set_Product_prod_a_a)) % 0.48/1.01 (define @t547 () (not @t485)) % 0.48/1.01 (define @t548 () (= @t251 @t306)) % 0.48/1.01 (define @t549 () (_ @t509 @t251)) % 0.48/1.01 (define @t550 () (@var "T2" tptp.product_prod_a_a)) % 0.48/1.01 (define @t551 () (@list @t214 @t212)) % 0.48/1.01 (define @t552 () (_ tptp.product_fst_a_a @t22)) % 0.48/1.01 (define @t553 () (@list @t15 @t16 @t240)) % 0.48/1.01 (define @t554 () (_ tptp.product_snd_a_a @t22)) % 0.48/1.01 (define @t555 () (_ (_ tptp.insert1116662519od_a_a (_ @t21 @t15)) tptp.bot_bo2131659635od_a_a)) % 0.48/1.01 (define @t556 () (_ @t516 tptp.bot_bot_set_a)) % 0.48/1.01 (define @t557 () (@var "P" (-> tptp.a tptp.a Bool))) % 0.48/1.01 (define @t558 () (@var "Q2" tptp.a)) % 0.48/1.01 (define @t559 () (@var "P2" tptp.a)) % 0.48/1.01 (define @t560 () (_ (_ tptp.product_Pair_a_a @t559) @t558)) % 0.48/1.01 (define @t561 () (_ tptp.is_singleton_a @t256)) % 0.48/1.01 (define @t562 () (@list @t426)) % 0.48/1.01 (define @t563 () (= @t119 @t33)) % 0.48/1.01 (define @t564 () (@list @t119 @t16 @t32)) % 0.48/1.01 (define @t565 () (@var "A6" tptp.a)) % 0.48/1.01 (define @t566 () (_ tptp.product_Pair_a_a @t565)) % 0.48/1.01 (define @t567 () (@var "B6" tptp.a)) % 0.48/1.01 (define @t568 () (_ tptp.range_a_a @t255)) % 0.48/1.01 (define @t569 () (_ (_ tptp.insert1116662519od_a_a @t243) @t255)) % 0.48/1.01 (define @t570 () (@list @t240 @t237 @t255)) % 0.48/1.01 (define @t571 () (@list @t330)) % 0.48/1.01 (define @t572 () (_ @t293 @t568)) % 0.48/1.01 (define @t573 () (@var "Y2" tptp.a)) % 0.48/1.01 (define @t574 () (_ tptp.product_Pair_a_a @t573)) % 0.48/1.01 (define @t575 () (@list @t573)) % 0.48/1.01 (define @t576 () (_ @t275 @t568)) % 0.48/1.01 (define @t577 () (@list @t240 @t255)) % 0.48/1.01 (define @t578 () (not @t439)) % 0.48/1.01 (define @t579 () (_ tptp.uminus_uminus_set_a @t256)) % 0.48/1.01 (define @t580 () (_ @t413 @t579)) % 0.48/1.01 (define @t581 () (@list @t412 @t256)) % 0.48/1.01 (define @t582 () (not @t438)) % 0.48/1.01 (define @t583 () (_ @t411 (_ tptp.uminus1440301054od_a_a @t251))) % 0.48/1.01 (define @t584 () (@list @t410 @t251)) % 0.48/1.01 (define @t585 () (_ tptp.uminus_uminus_set_a @t310)) % 0.48/1.01 (define @t586 () (_ (_ tptp.member_a tptp.y) tptp.carrier)) % 0.48/1.01 (define @t587 () (_ (_ tptp.member_a tptp.z) tptp.carrier)) % 0.48/1.01 (define @t588 () (and @t587 @t586)) % 0.48/1.01 (define @t589 () (not @t588)) % 0.48/1.01 (define @t590 () (@var "Relation2" tptp.set_Pr1295299783od_a_a)) % 0.48/1.01 (define @t591 () (@var "Carrier2" tptp.set_Pr1948701895od_a_a)) % 0.48/1.01 (define @t592 () (@var "Y2" tptp.produc1572603623od_a_a)) % 0.48/1.01 (define @t593 () (_ (_ tptp.member1899387664od_a_a (_ (_ tptp.produc1935643479od_a_a @t340) @t592)) @t590)) % 0.48/1.01 (define @t594 () (@list @t340 @t592)) % 0.48/1.01 (define @t595 () (lambda (@list @t591 @t590) (and (forall @t594 (=> @t593 (_ @t341 @t591))) (forall @t594 (=> @t593 (_ (_ tptp.member2057358096od_a_a @t592) @t591))) (_ (_ tptp.order_491428350od_a_a @t591) @t590)))) % 0.48/1.01 (define @t596 () (@var "Relation2" tptp.set_Pr2045688071_set_a)) % 0.48/1.01 (define @t597 () (@var "Carrier2" tptp.set_set_a)) % 0.48/1.01 (define @t598 () (_ tptp.member_set_a @t459)) % 0.48/1.01 (define @t599 () (_ tptp.member593450832_set_a (_ (_ tptp.produc1928581911_set_a @t458) @t459))) % 0.48/1.01 (define @t600 () (_ @t599 @t596)) % 0.48/1.01 (define @t601 () (_ tptp.member_set_a @t458)) % 0.48/1.01 (define @t602 () (lambda (@list @t597 @t596) (and (forall @t460 (=> @t600 (_ @t601 @t597))) (forall @t460 (=> @t600 (_ @t598 @t597))) (_ (_ tptp.order_816746613_set_a @t597) @t596)))) % 0.48/1.01 (define @t603 () (@var "Relation2" tptp.set_Pr1948701895od_a_a)) % 0.48/1.01 (define @t604 () (@var "Carrier2" tptp.set_Product_prod_a_a)) % 0.48/1.01 (define @t605 () (@var "Y2" tptp.product_prod_a_a)) % 0.48/1.01 (define @t606 () (_ tptp.member449909584od_a_a @t605)) % 0.48/1.01 (define @t607 () (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t347) @t605))) % 0.48/1.01 (define @t608 () (_ @t607 @t603)) % 0.48/1.01 (define @t609 () (@list @t347 @t605)) % 0.48/1.01 (define @t610 () (@list @t604 @t603)) % 0.48/1.01 (define @t611 () (lambda @t610 (and (forall @t609 (=> @t608 (_ @t348 @t604))) (forall @t609 (=> @t608 (_ @t606 @t604))) (_ (_ tptp.order_359341630od_a_a @t604) @t603)))) % 0.48/1.01 (define @t612 () (@var "Relation2" tptp.set_Product_prod_a_a)) % 0.48/1.01 (define @t613 () (@var "Carrier2" tptp.set_a)) % 0.48/1.01 (define @t614 () (_ (_ tptp.order_preorder_on_a @t613) @t612)) % 0.48/1.01 (define @t615 () (_ tptp.member_a @t573)) % 0.48/1.01 (define @t616 () (_ @t615 @t613)) % 0.48/1.01 (define @t617 () (_ tptp.product_Pair_a_a @t342)) % 0.48/1.01 (define @t618 () (_ @t617 @t573)) % 0.48/1.01 (define @t619 () (_ tptp.member449909584od_a_a @t618)) % 0.48/1.01 (define @t620 () (_ @t619 @t612)) % 0.48/1.01 (define @t621 () (@list @t342 @t573)) % 0.48/1.01 (define @t622 () (forall @t621 (=> @t620 @t616))) % 0.48/1.01 (define @t623 () (_ @t343 @t613)) % 0.48/1.01 (define @t624 () (forall @t621 (=> @t620 @t623))) % 0.48/1.01 (define @t625 () (and @t624 @t622 @t614)) % 0.48/1.01 (define @t626 () (@list @t613 @t612)) % 0.48/1.01 (define @t627 () (lambda @t626 @t625)) % 0.48/1.01 (define @t628 () (@var "R2" tptp.set_Pr2045688071_set_a)) % 0.48/1.01 (define @t629 () (@var "A4" tptp.set_set_a)) % 0.48/1.01 (define @t630 () (lambda (@list @t629 @t628) (forall (@list @t458) (=> (_ @t601 @t629) (forall (@list @t459) (=> (_ @t598 @t629) (=> (not (= @t458 @t459)) (or (_ @t599 @t628) (_ (_ tptp.member593450832_set_a (_ (_ tptp.produc1928581911_set_a @t459) @t458)) @t628))))))))) % 0.48/1.01 (define @t631 () (@var "R2" tptp.set_Pr1948701895od_a_a)) % 0.48/1.01 (define @t632 () (lambda (@list @t434 @t631) (forall @t350 (=> @t435 (forall (@list @t605) (=> (_ @t606 @t434) (=> (not (= @t347 @t605)) (or (_ @t607 @t631) (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t605) @t347)) @t631))))))))) % 0.48/1.01 (define @t633 () (@var "R2" tptp.set_Product_prod_a_a)) % 0.48/1.01 (define @t634 () (_ @t574 @t342)) % 0.48/1.01 (define @t635 () (_ (_ tptp.member449909584od_a_a @t634) @t633)) % 0.48/1.01 (define @t636 () (_ @t619 @t633)) % 0.48/1.01 (define @t637 () (or @t636 @t635)) % 0.48/1.01 (define @t638 () (= @t342 @t573)) % 0.48/1.01 (define @t639 () (not @t638)) % 0.48/1.01 (define @t640 () (=> @t639 @t637)) % 0.48/1.01 (define @t641 () (_ @t615 @t426)) % 0.48/1.01 (define @t642 () (forall @t575 (=> @t641 @t640))) % 0.48/1.01 (define @t643 () (=> @t437 @t642)) % 0.48/1.01 (define @t644 () (forall @t345 @t643)) % 0.48/1.01 (define @t645 () (@list @t426 @t633)) % 0.48/1.01 (define @t646 () (lambda @t645 @t644)) % 0.48/1.01 (define @t647 () (lambda @t610 (and (_ (_ tptp.prefer1338892073od_a_a @t604) @t603) (_ (_ tptp.prefer1064779160od_a_a @t604) @t603)))) % 0.48/1.01 (define @t648 () (_ (_ tptp.prefer580340847ioms_a @t613) @t612)) % 0.48/1.01 (define @t649 () (and (_ (_ tptp.prefer1292084992ence_a @t613) @t612) @t648)) % 0.48/1.01 (define @t650 () (lambda @t626 @t649)) % 0.48/1.01 (define @t651 () (@var "T" tptp.product_prod_a_a)) % 0.48/1.01 (define @t652 () (_ tptp.member449909584od_a_a @t651)) % 0.48/1.01 (define @t653 () (lambda @t436 (forall (@list @t651) (=> (_ @t652 @t434) (_ @t652 @t433))))) % 0.48/1.01 (define @t654 () (@var "T" tptp.a)) % 0.48/1.01 (define @t655 () (_ tptp.member_a @t654)) % 0.48/1.01 (define @t656 () (lambda @t428 (forall (@list @t654) (=> (_ @t655 @t426) (_ @t655 @t427))))) % 0.48/1.01 (define @t657 () (lambda @t350 (_ @t348 tptp.bot_bo2131659635od_a_a))) % 0.48/1.01 (define @t658 () (lambda @t345 (_ @t343 tptp.bot_bot_set_a))) % 0.48/1.01 (define @t659 () (lambda @t562 (= @t426 tptp.bot_bot_set_a))) % 0.48/1.01 (define @t660 () (@var "Z4" tptp.a)) % 0.48/1.01 (define @t661 () (_ @t617 @t660)) % 0.48/1.01 (define @t662 () (_ (_ tptp.member449909584od_a_a @t661) @t633)) % 0.48/1.01 (define @t663 () (_ @t574 @t660)) % 0.48/1.01 (define @t664 () (_ (_ tptp.member449909584od_a_a @t663) @t633)) % 0.48/1.01 (define @t665 () (=> @t664 @t662)) % 0.48/1.01 (define @t666 () (@list @t342 @t573 @t660)) % 0.48/1.01 (define @t667 () (forall @t666 (=> @t636 @t665))) % 0.48/1.01 (define @t668 () (@list @t633)) % 0.48/1.01 (define @t669 () (lambda @t668 @t667)) % 0.48/1.01 (define @t670 () (_ (_ tptp.refl_on_a @t426) @t633)) % 0.48/1.01 (define @t671 () (and @t670 (_ tptp.trans_a @t633))) % 0.48/1.01 (define @t672 () (lambda @t645 @t671)) % 0.48/1.01 (define @t673 () (@var "J" tptp.a)) % 0.48/1.01 (define @t674 () (@var "As" (-> tptp.a tptp.set_a))) % 0.48/1.01 (define @t675 () (@var "I" tptp.a)) % 0.48/1.01 (define @t676 () (lambda (@list @t633 @t674) (forall (@list @t675 @t673) (=> (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t675) @t673)) @t633) (_ (_ tptp.ord_less_eq_set_a (_ @t674 @t675)) (_ @t674 @t673)))))) % 0.48/1.01 (define @t677 () (@var "Y2" tptp.produc1691597095_set_a)) % 0.48/1.01 (define @t678 () (@var "X3" tptp.produc1691597095_set_a)) % 0.48/1.01 (define @t679 () (lambda (@list @t678 @t677) (and (_ (_ tptp.ord_less_eq_set_a (_ tptp.produc1926412547_set_a @t678)) (_ tptp.produc1926412547_set_a @t677)) (_ (_ tptp.ord_less_eq_set_a (_ tptp.produc918972485_set_a @t678)) (_ tptp.produc918972485_set_a @t677))))) % 0.48/1.01 (define @t680 () (lambda @t562 (= @t426 (_ (_ tptp.insert_a (_ tptp.the_elem_a @t426)) tptp.bot_bot_set_a)))) % 0.48/1.01 (define @t681 () (@var "P3" tptp.product_prod_a_a)) % 0.48/1.01 (define @t682 () (lambda (@list @t681) (_ (_ tptp.product_Pair_a_a (_ tptp.product_snd_a_a @t681)) (_ tptp.product_fst_a_a @t681)))) % 0.48/1.01 (define @t683 () (tptp.product_Pair_a_a @t342 @t660)) % 0.48/1.01 (define @t684 () (tptp.product_Pair_a_a @t573 @t660)) % 0.48/1.01 (define @t685 () (tptp.product_Pair_a_a @t342 @t573)) % 0.48/1.01 (define @t686 () (not (tptp.member449909584od_a_a @t685 tptp.relation))) % 0.48/1.01 (define @t687 () (forall @t666 (or @t686 (not (tptp.member449909584od_a_a @t684 tptp.relation)) (tptp.member449909584od_a_a @t683 tptp.relation)))) % 0.48/1.01 (define @t688 () (tptp.refl_on_a tptp.carrier tptp.relation)) % 0.48/1.01 (define @t689 () (tptp.member_a @t573 tptp.carrier)) % 0.48/1.01 (define @t690 () (forall @t621 (or @t686 @t689))) % 0.48/1.01 (define @t691 () (tptp.member_a @t342 tptp.carrier)) % 0.48/1.01 (define @t692 () (forall @t621 (or @t686 @t691))) % 0.48/1.01 (define @t693 () (@var "BOUND_VARIABLE_8747" tptp.a)) % 0.48/1.01 (define @t694 () (tptp.product_Pair_a_a @t693 @t342)) % 0.48/1.01 (define @t695 () (tptp.product_Pair_a_a @t342 @t693)) % 0.48/1.01 (define @t696 () (= @t342 @t693)) % 0.48/1.01 (define @t697 () (not (tptp.member_a @t693 tptp.carrier))) % 0.48/1.01 (define @t698 () (not @t691)) % 0.48/1.01 (define @t699 () (@list @t342 @t693)) % 0.48/1.01 (define @t700 () (forall @t699 (or @t698 @t697 @t696 (tptp.member449909584od_a_a @t695 tptp.relation) (tptp.member449909584od_a_a @t694 tptp.relation)))) % 0.48/1.01 (define @t701 () (tptp.member449909584od_a_a @t694 @t633)) % 0.48/1.01 (define @t702 () (tptp.member449909584od_a_a @t695 @t633)) % 0.48/1.01 (define @t703 () (lambda @t668 (forall @t699 (or @t698 @t697 @t696 @t702 @t701)))) % 0.48/1.01 (define @t704 () (not (tptp.member_a @t693 @t426))) % 0.48/1.01 (define @t705 () (tptp.member_a @t342 @t426)) % 0.48/1.01 (define @t706 () (not @t705)) % 0.48/1.01 (define @t707 () (or @t706 @t704 @t696 @t702 @t701)) % 0.48/1.01 (define @t708 () (_ (lambda @t645 (forall @t699 @t707)) tptp.carrier)) % 0.48/1.01 (define @t709 () (or @t704 @t696 @t702 @t701)) % 0.48/1.01 (define @t710 () (or @t706 @t709)) % 0.48/1.01 (define @t711 () (forall @t699 @t710)) % 0.48/1.01 (define @t712 () (@list @t693)) % 0.48/1.01 (define @t713 () (forall @t712 @t710)) % 0.48/1.01 (define @t714 () (forall @t712 @t709)) % 0.48/1.01 (define @t715 () (or @t706 @t714)) % 0.48/1.01 (define @t716 () (tptp.product_Pair_a_a @t573 @t342)) % 0.48/1.01 (define @t717 () (tptp.member449909584od_a_a @t716 @t633)) % 0.48/1.01 (define @t718 () (tptp.member449909584od_a_a @t685 @t633)) % 0.48/1.01 (define @t719 () (tptp.member_a @t573 @t426)) % 0.48/1.01 (define @t720 () (forall @t575 (or (not @t719) @t638 @t718 @t717))) % 0.48/1.01 (define @t721 () (not @t437)) % 0.48/1.01 (define @t722 () (or @t721 @t720)) % 0.48/1.01 (define @t723 () (_ tptp.member449909584od_a_a @t685)) % 0.48/1.01 (define @t724 () (not @t641)) % 0.48/1.01 (define @t725 () (or @t724 @t638 @t636 @t635)) % 0.48/1.01 (define @t726 () (or @t638 @t636 @t635)) % 0.48/1.01 (define @t727 () (_ tptp.prefer580340847ioms_a tptp.carrier)) % 0.48/1.01 (define @t728 () (and (_ @t727 tptp.relation) @t692 @t690 @t6 @t687)) % 0.48/1.01 (define @t729 () (tptp.member449909584od_a_a @t685 @t612)) % 0.48/1.01 (define @t730 () (not @t729)) % 0.48/1.01 (define @t731 () (forall @t666 (or @t730 (not (tptp.member449909584od_a_a @t684 @t612)) (tptp.member449909584od_a_a @t683 @t612)))) % 0.48/1.01 (define @t732 () (@list @t612)) % 0.48/1.01 (define @t733 () (lambda @t732 (and (_ @t727 @t612) (forall @t621 (or @t730 @t691)) (forall @t621 (or @t730 @t689)) (_ @t5 @t612) @t731))) % 0.48/1.01 (define @t734 () (_ tptp.refl_on_a @t613)) % 0.48/1.01 (define @t735 () (_ @t734 @t612)) % 0.48/1.01 (define @t736 () (tptp.member_a @t573 @t613)) % 0.48/1.01 (define @t737 () (forall @t621 (or @t730 @t736))) % 0.48/1.01 (define @t738 () (tptp.member_a @t342 @t613)) % 0.48/1.01 (define @t739 () (forall @t621 (or @t730 @t738))) % 0.48/1.01 (define @t740 () (and @t648 @t739 @t737 @t735 @t731)) % 0.48/1.01 (define @t741 () (and @t735 @t731)) % 0.48/1.01 (define @t742 () (tptp.member449909584od_a_a @t683 @t633)) % 0.48/1.01 (define @t743 () (tptp.member449909584od_a_a @t684 @t633)) % 0.48/1.01 (define @t744 () (forall @t666 (or (not @t718) (not @t743) @t742))) % 0.48/1.01 (define @t745 () (lambda @t668 (and (_ @t734 @t633) @t744))) % 0.48/1.01 (define @t746 () (_ (lambda @t645 (and @t670 @t744)) @t613)) % 0.48/1.01 (define @t747 () (and @t648 @t739 @t737 (_ @t746 @t612))) % 0.48/1.01 (define @t748 () (_ (lambda @t668 @t744) @t633)) % 0.48/1.01 (define @t749 () (not @t664)) % 0.48/1.01 (define @t750 () (not @t636)) % 0.48/1.01 (define @t751 () (or @t750 @t749 @t662)) % 0.48/1.01 (define @t752 () (and @t648 @t739 @t737 @t614)) % 0.48/1.01 (define @t753 () (and @t739 @t737 @t614)) % 0.48/1.01 (define @t754 () (lambda @t732 @t753)) % 0.48/1.01 (define @t755 () (_ (lambda @t626 @t753) @t613)) % 0.48/1.01 (define @t756 () (not @t620)) % 0.48/1.01 (define @t757 () (or @t756 @t616)) % 0.48/1.01 (define @t758 () (or @t756 @t623)) % 0.48/1.01 (define @t759 () (tptp.product_Pair_a_a tptp.y tptp.z)) % 0.48/1.01 (define @t760 () (tptp.member449909584od_a_a @t759 tptp.relation)) % 0.48/1.01 (define @t761 () (tptp.product_Pair_a_a tptp.z tptp.y)) % 0.48/1.01 (define @t762 () (tptp.member449909584od_a_a @t761 tptp.relation)) % 0.48/1.01 (define @t763 () (tptp.member_a tptp.z tptp.carrier)) % 0.48/1.01 (define @t764 () (not @t762)) % 0.48/1.01 (define @t765 () (or @t764 @t763)) % 0.48/1.01 (define @t766 () (tptp.member_a tptp.y tptp.carrier)) % 0.48/1.01 (define @t767 () (not @t760)) % 0.48/1.01 (define @t768 () (or @t767 @t766)) % 0.48/1.01 (define @t769 () (not @t768)) % 0.48/1.01 (define @t770 () (@list true false)) % 0.48/1.01 (assume @p1 (and @t4 @t2)) % 0.48/1.01 (assume @p2 (_ (_ tptp.prefer719835986ence_a tptp.carrier) tptp.relation)) % 0.48/1.01 (assume @p3 (_ (_ tptp.prefer1292084992ence_a tptp.carrier) tptp.relation)) % 0.48/1.01 (assume @p4 (_ (_ tptp.order_preorder_on_a tptp.carrier) tptp.relation)) % 0.48/1.01 (assume @p5 (_ (_ tptp.total_on_a tptp.carrier) tptp.relation)) % 0.48/1.01 (assume @p6 @t6) % 0.48/1.01 (assume @p7 (forall @t14 (=> (_ @t13 tptp.carrier) (forall @t12 (=> (_ @t11 tptp.carrier) (or (_ @t10 tptp.relation) (_ @t9 tptp.relation))))))) % 0.48/1.01 (assume @p8 (forall @t31 (=> @t30 (=> @t28 (=> @t26 (or @t24 @t20)))))) % 0.48/1.01 (assume @p9 (forall @t31 (=> @t24 @t30))) % 0.48/1.01 (assume @p10 (forall @t48 (=> @t47 (=> @t45 (or @t43 (and @t38 (not @t35))))))) % 0.48/1.01 (assume @p11 (forall @t48 (=> @t47 (=> @t24 (=> @t35 @t42))))) % 0.48/1.01 (assume @p12 (forall @t31 (=> (and @t30 @t28) (= @t44 @t45)))) % 0.48/1.01 (assume @p13 (forall @t48 (=> (and @t24 @t20) (=> (and @t35 @t38) (and @t42 @t40))))) % 0.48/1.01 (assume @p14 (forall @t48 (=> @t45 (=> (and @t35 (not @t38)) @t43)))) % 0.48/1.01 (assume @p15 (forall @t31 (=> @t24 @t50))) % 0.48/1.01 (assume @p16 (forall @t55 (=> @t54 @t53))) % 0.48/1.01 (assume @p17 (forall @t60 (=> @t59 @t58))) % 0.48/1.01 (assume @p18 (forall (@list @t61 @t62) (=> (forall @t69 (=> @t68 (_ @t70 @t62))) (=> (forall @t69 (=> @t68 (_ @t65 @t62))) (=> (_ (_ tptp.order_491428350od_a_a @t62) @t61) @t63))))) % 0.48/1.01 (assume @p19 (forall (@list @t71 @t72) (=> (forall @t80 (=> @t79 (_ @t81 @t72))) (=> (forall @t80 (=> @t79 (_ @t75 @t72))) (=> (_ (_ tptp.order_816746613_set_a @t72) @t71) @t73))))) % 0.48/1.01 (assume @p20 (forall (@list @t51 @t52) (=> (forall @t90 (=> @t89 (_ @t91 @t52))) (=> (forall @t90 (=> @t89 (_ @t84 @t52))) (=> @t82 @t53))))) % 0.48/1.01 (assume @p21 (forall (@list @t56 @t57) (=> (forall @t100 (=> @t99 (_ @t101 @t57))) (=> (forall @t100 (=> @t99 (_ @t94 @t57))) (=> @t92 @t58))))) % 0.48/1.01 (assume @p22 (forall @t55 (=> @t53 @t82))) % 0.48/1.01 (assume @p23 (forall @t60 (=> @t58 @t92))) % 0.48/1.01 (assume @p24 (forall @t109 (=> @t63 (=> @t108 @t104)))) % 0.48/1.01 (assume @p25 (forall @t118 (=> @t73 (=> @t117 @t112)))) % 0.48/1.01 (assume @p26 (forall @t126 (=> @t53 (=> @t125 @t121)))) % 0.48/1.01 (assume @p27 (forall @t129 (=> @t58 (=> @t128 @t127)))) % 0.48/1.01 (assume @p28 (forall @t55 (=> @t53 (_ (_ tptp.refl_o1298442278od_a_a @t52) @t51)))) % 0.48/1.01 (assume @p29 (forall @t60 (=> @t58 (_ (_ tptp.refl_on_a @t57) @t56)))) % 0.48/1.01 (assume @p30 (forall @t139 (=> @t73 (=> (and @t117 @t138) (=> (and @t137 @t135) (and @t133 @t132)))))) % 0.48/1.01 (assume @p31 (forall @t149 (=> @t53 (=> (and @t125 @t148) (=> (and @t147 @t145) (and @t143 @t142)))))) % 0.48/1.01 (assume @p32 (forall @t155 (=> @t58 (=> (and @t128 @t154) (=> (and @t153 @t152) (and @t151 @t150)))))) % 0.48/1.01 (assume @p33 (forall (@list @t72 @t71) (=> @t158 (forall (@list @t156) (=> (_ (_ tptp.member_set_a @t156) @t72) (forall (@list @t157) (=> (_ (_ tptp.member_set_a @t157) @t72) (or (_ (_ tptp.member593450832_set_a (_ (_ tptp.produc1928581911_set_a @t156) @t157)) @t71) (_ (_ tptp.member593450832_set_a (_ (_ tptp.produc1928581911_set_a @t157) @t156)) @t71))))))))) % 0.48/1.01 (assume @p34 (forall @t55 (=> @t54 (forall (@list @t159) (=> (_ (_ tptp.member449909584od_a_a @t159) @t52) (forall (@list @t160) (=> (_ (_ tptp.member449909584od_a_a @t160) @t52) (or (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t159) @t160)) @t51) (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t160) @t159)) @t51))))))))) % 0.48/1.01 (assume @p35 (forall @t60 (=> @t59 (forall @t14 (=> (_ @t13 @t57) (forall @t12 (=> (_ @t11 @t57) (or (_ @t10 @t56) (_ @t9 @t56))))))))) % 0.48/1.01 (assume @p36 (forall @t55 (=> @t54 @t161))) % 0.48/1.01 (assume @p37 (forall @t60 (=> @t59 @t162))) % 0.48/1.01 (assume @p38 (forall @t109 (=> @t167 (=> @t104 (=> @t166 (=> (not (= @t102 @t105)) (or @t108 @t164))))))) % 0.48/1.01 (assume @p39 (forall @t118 (=> @t158 (=> @t112 (=> @t170 (=> (not @t168) (or @t117 @t138))))))) % 0.48/1.01 (assume @p40 (forall @t126 (=> @t54 (=> @t121 (=> @t173 (=> (not @t171) (or @t125 @t148))))))) % 0.48/1.01 (assume @p41 (forall @t129 (=> @t59 (=> @t127 (=> @t174 (=> @t26 (or @t128 @t154))))))) % 0.48/1.01 (assume @p42 (forall @t139 (=> @t158 (=> @t177 (=> (and @t137 (not @t135)) @t175))))) % 0.48/1.01 (assume @p43 (forall @t149 (=> @t54 (=> @t180 (=> (and @t147 (not @t145)) @t178))))) % 0.48/1.01 (assume @p44 (forall @t155 (=> @t59 (=> @t183 (=> (and @t153 (not @t152)) @t181))))) % 0.48/1.01 (assume @p45 (forall @t189 (=> @t167 (=> @t188 (=> @t108 (=> @t186 @t185)))))) % 0.48/1.01 (assume @p46 (forall @t139 (=> @t158 (=> @t191 (=> @t117 (=> @t137 @t133)))))) % 0.48/1.01 (assume @p47 (forall @t149 (=> @t54 (=> @t193 (=> @t125 (=> @t147 @t143)))))) % 0.48/1.01 (assume @p48 (forall @t155 (=> @t59 (=> @t194 (=> @t128 (=> @t153 @t151)))))) % 0.48/1.01 (assume @p49 (forall @t109 (=> @t167 (=> (and @t104 @t166) (= @t195 @t196))))) % 0.48/1.01 (assume @p50 (forall @t118 (=> @t158 (=> (and @t112 @t170) (= @t176 @t177))))) % 0.48/1.01 (assume @p51 (forall @t126 (=> @t54 (=> (and @t121 @t173) (= @t179 @t180))))) % 0.48/1.01 (assume @p52 (forall @t129 (=> @t59 (=> (and @t127 @t174) (= @t182 @t183))))) % 0.48/1.01 (assume @p53 (forall @t189 (=> @t167 (=> @t188 (=> @t196 (or (and @t185 (not (_ (_ tptp.member1899387664od_a_a (_ @t197 @t102)) @t61))) (and @t199 (not @t186)))))))) % 0.48/1.01 (assume @p54 (forall @t139 (=> @t158 (=> @t191 (=> @t177 (or @t175 (and @t135 (not @t137)))))))) % 0.48/1.01 (assume @p55 (forall @t149 (=> @t54 (=> @t193 (=> @t180 (or @t178 (and @t145 (not @t147)))))))) % 0.48/1.01 (assume @p56 (forall @t155 (=> @t59 (=> @t194 (=> @t183 (or @t181 (and @t152 (not @t153)))))))) % 0.48/1.01 (assume @p57 (forall @t31 (=> @t24 (_ @t27 @t201)))) % 0.48/1.01 (assume @p58 (forall (@list @t32 @t16) (= (_ @t46 (_ (_ @t202 tptp.carrier) tptp.relation)) (and @t38 @t35)))) % 0.48/1.01 (assume @p59 (forall (@list @t206 @t204 @t205 @t203) (= (= (_ (_ tptp.produc1474507607od_a_a @t206) @t204) (_ (_ tptp.produc1474507607od_a_a @t205) @t203)) (and (= @t206 @t205) (= @t204 @t203))))) % 0.48/1.01 (assume @p60 (forall (@list @t210 @t208 @t209 @t207) (= (= (_ (_ tptp.produc1928581911_set_a @t210) @t208) (_ (_ tptp.produc1928581911_set_a @t209) @t207)) (and (= @t210 @t209) (= @t208 @t207))))) % 0.48/1.01 (assume @p61 (forall (@list @t214 @t212 @t213 @t211) (= (= @t215 (_ (_ tptp.product_Pair_a_a @t213) @t211)) (and (= @t214 @t213) (= @t212 @t211))))) % 0.48/1.01 (assume @p62 (forall @t225 (= @t224 (and @t221 @t218)))) % 0.48/1.01 (assume @p63 (forall @t235 (= @t234 (and @t231 @t228)))) % 0.48/1.01 (assume @p64 (forall @t245 (= @t244 (and @t241 @t238)))) % 0.48/1.01 (assume @p65 (forall (@list @t62 @t61 @t184 @t105) (=> @t167 (= (_ @t187 (_ (_ (_ tptp.prefer1867335523od_a_a @t105) @t62) @t61)) (and @t199 @t186))))) % 0.48/1.01 (assume @p66 (forall (@list @t72 @t71 @t130 @t113) (=> @t158 (= (_ @t190 (_ (_ (_ tptp.prefer270414042_set_a @t113) @t72) @t71)) (and @t135 @t137))))) % 0.48/1.01 (assume @p67 (forall (@list @t52 @t51 @t140 @t122) (=> @t54 (= (_ @t192 (_ (_ (_ tptp.prefer74720675od_a_a @t122) @t52) @t51)) (and @t145 @t147))))) % 0.48/1.01 (assume @p68 (forall (@list @t57 @t56 @t32 @t16) (=> @t59 (= (_ @t46 (_ (_ @t202 @t57) @t56)) (and @t152 @t153))))) % 0.48/1.01 (assume @p69 (forall (@list @t247 @t246) (=> (forall @t69 (=> (_ @t70 @t247) (=> (_ @t65 @t247) (=> (not (= @t66 @t64)) (or (_ @t67 @t246) (_ (_ tptp.member1899387664od_a_a (_ (_ tptp.produc1935643479od_a_a @t64) @t66)) @t246)))))) (_ (_ tptp.total_1340260971od_a_a @t247) @t246)))) % 0.48/1.01 (assume @p70 (forall (@list @t249 @t248) (=> (forall @t80 (=> (_ @t81 @t249) (=> (_ @t75 @t249) (=> (not (= @t76 @t74)) (or (_ @t78 @t248) (_ (_ tptp.member593450832_set_a (_ (_ tptp.produc1928581911_set_a @t74) @t76)) @t248)))))) (_ (_ tptp.total_on_set_a @t249) @t248)))) % 0.48/1.01 (assume @p71 (forall (@list @t251 @t250) (=> (forall @t90 (=> @t254 (=> @t253 (=> (not @t252) (or (_ @t88 @t250) (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t83) @t85)) @t250)))))) (_ (_ tptp.total_1490170027od_a_a @t251) @t250)))) % 0.48/1.01 (assume @p72 (forall (@list @t256 @t255) (=> (forall @t100 (=> @t261 (=> @t260 (=> (not @t259) (or @t258 (_ (_ tptp.member449909584od_a_a (_ @t257 @t95)) @t255)))))) (_ (_ tptp.total_on_a @t256) @t255)))) % 0.48/1.01 (assume @p73 (forall (@list @t247 @t246 @t262) (=> @t266 (=> @t265 (_ (_ tptp.member1899387664od_a_a (_ @t263 @t262)) @t246))))) % 0.48/1.01 (assume @p74 (forall (@list @t249 @t248 @t230) (=> @t268 (=> @t267 (_ (_ tptp.member593450832_set_a (_ @t232 @t230)) @t248))))) % 0.48/1.01 (assume @p75 (forall (@list @t251 @t250 @t220) (=> @t272 (=> @t271 (_ @t269 @t250))))) % 0.48/1.01 (assume @p76 (forall (@list @t256 @t255 @t240) (=> @t278 (=> @t276 (_ @t274 @t255))))) % 0.48/1.01 (assume @p77 (forall @t280 (=> @t266 (=> @t279 (_ @t103 @t247))))) % 0.48/1.01 (assume @p78 (forall @t282 (=> @t268 (=> @t281 (_ @t111 @t249))))) % 0.48/1.01 (assume @p79 (forall @t285 (=> @t272 (=> @t284 @t283)))) % 0.48/1.01 (assume @p80 (forall @t288 (=> @t278 (=> @t287 @t286)))) % 0.48/1.01 (assume @p81 (forall @t280 (=> @t266 (=> @t279 (_ @t165 @t247))))) % 0.48/1.01 (assume @p82 (forall @t282 (=> @t268 (=> @t281 (_ @t169 @t249))))) % 0.48/1.01 (assume @p83 (forall @t285 (=> @t272 (=> @t284 (_ @t172 @t251))))) % 0.48/1.01 (assume @p84 (forall @t288 (=> @t278 (=> @t287 (_ @t27 @t256))))) % 0.48/1.01 (assume @p85 (forall (@list @t247 @t246 @t262 @t289) (=> @t266 (=> (_ (_ tptp.member1899387664od_a_a (_ @t263 @t289)) @t246) (and @t265 (_ (_ tptp.member2057358096od_a_a @t289) @t247)))))) % 0.48/1.01 (assume @p86 (forall (@list @t249 @t248 @t230 @t227) (=> @t268 (=> (_ (_ tptp.member593450832_set_a @t233) @t248) (and @t267 (_ (_ tptp.member_set_a @t227) @t249)))))) % 0.48/1.01 (assume @p87 (forall (@list @t251 @t250 @t220 @t217) (=> @t272 (=> (_ @t292 @t250) (and @t271 @t291))))) % 0.48/1.01 (assume @p88 (forall (@list @t256 @t255 @t240 @t237) (=> @t278 (=> @t296 (and @t276 @t294))))) % 0.48/1.01 (assume @p89 (forall (@list @t184 @t105 @t298 @t297) (=> (_ @t187 @t300) (_ @t198 @t297)))) % 0.48/1.01 (assume @p90 (forall (@list @t130 @t113 @t302 @t301) (=> (_ @t190 @t304) (_ @t134 @t301)))) % 0.48/1.01 (assume @p91 (forall (@list @t140 @t122 @t306 @t305) (=> (_ @t192 @t308) (_ @t144 @t305)))) % 0.48/1.01 (assume @p92 (forall (@list @t32 @t16 @t310 @t309) (=> (_ @t46 @t311) (_ @t37 @t309)))) % 0.48/1.01 (assume @p93 (forall (@list @t102 @t105 @t298 @t297) (=> (_ @t103 @t300) (_ @t107 @t297)))) % 0.48/1.01 (assume @p94 (forall (@list @t110 @t113 @t302 @t301) (=> (_ @t111 @t304) (_ @t116 @t301)))) % 0.48/1.01 (assume @p95 (forall (@list @t119 @t122 @t306 @t305) (=> (_ @t120 @t308) (_ @t124 @t305)))) % 0.48/1.01 (assume @p96 (forall (@list @t15 @t16 @t310 @t309) (=> (_ @t29 @t311) (_ @t23 @t309)))) % 0.48/1.01 (assume @p97 (forall (@list @t313 @t312) (=> @t319 (_ @t313 @t312)))) % 0.48/1.01 (assume @p98 (forall (@list @t321 @t320) (=> @t326 (_ @t321 @t320)))) % 0.48/1.01 (assume @p99 (forall (@list @t328 @t327) (=> @t334 (_ @t328 @t327)))) % 0.48/1.01 (assume @p100 (forall @t335 (not (forall @t318 (not (= @t105 @t317)))))) % 0.48/1.01 (assume @p101 (forall (@list @t336) (not (forall @t325 (not (= @t336 @t324)))))) % 0.48/1.01 (assume @p102 (forall (@list @t122) (not (forall @t333 (not (= @t122 @t332)))))) % 0.48/1.01 (assume @p103 (forall (@list @t262 @t313) (= (_ @t264 (_ tptp.collec1635618130od_a_a @t313)) (_ @t313 @t262)))) % 0.48/1.01 (assume @p104 (forall (@list @t240 @t337) (= (_ @t275 @t338) (_ @t337 @t240)))) % 0.48/1.01 (assume @p105 (forall (@list @t220 @t328) (= (_ @t270 @t339) (_ @t328 @t220)))) % 0.48/1.01 (assume @p106 (forall (@list @t247) (= (_ tptp.collec1635618130od_a_a (lambda (@list @t340) (_ @t341 @t247))) @t247))) % 0.48/1.01 (assume @p107 (forall @t346 (= (_ tptp.collect_a (lambda @t345 @t344)) @t256))) % 0.48/1.01 (assume @p108 (forall @t351 (= (_ tptp.collec645855634od_a_a (lambda @t350 @t349)) @t251))) % 0.48/1.01 (assume @p109 (forall (@list @t328 @t352) (=> (forall @t353 (= (_ @t328 @t85) (_ @t352 @t85))) (= @t339 (_ tptp.collec645855634od_a_a @t352))))) % 0.48/1.01 (assume @p110 (forall @t359 (=> (forall @t358 (= @t357 @t356)) (= @t338 @t355)))) % 0.48/1.01 (assume @p111 (forall (@list @t313 @t102) (=> (forall @t362 (_ @t313 @t361)) (_ @t313 @t102)))) % 0.48/1.01 (assume @p112 (forall @t335 (not (forall @t362 (not (= @t105 @t361)))))) % 0.48/1.01 (assume @p113 (forall @t225 (=> @t224 (not (=> @t221 (not @t218)))))) % 0.48/1.01 (assume @p114 (forall @t235 (=> @t234 (not (=> @t231 (not @t228)))))) % 0.48/1.01 (assume @p115 (forall @t245 (=> @t244 (not (=> @t241 (not @t238)))))) % 0.48/1.01 (assume @p116 (forall (@list @t313 @t363) (=> @t319 (_ @t313 @t363)))) % 0.48/1.01 (assume @p117 (forall (@list @t321 @t364) (=> @t326 (_ @t321 @t364)))) % 0.48/1.01 (assume @p118 (forall (@list @t328 @t365) (=> @t334 (_ @t328 @t365)))) % 0.48/1.01 (assume @p119 (forall (@list @t363) (exists @t90 (= @t363 @t87)))) % 0.48/1.01 (assume @p120 (forall (@list @t364) (exists @t80 (= @t364 @t77)))) % 0.48/1.01 (assume @p121 (forall (@list @t365) (exists @t100 (= @t365 @t97)))) % 0.48/1.01 (assume @p122 (forall @t109 (=> @t167 (=> @t108 (_ @t165 @t366))))) % 0.48/1.01 (assume @p123 (forall @t118 (=> @t158 (=> @t117 (_ @t169 @t367))))) % 0.48/1.01 (assume @p124 (forall @t126 (=> @t54 (=> @t125 (_ @t172 @t368))))) % 0.48/1.01 (assume @p125 (forall @t129 (=> @t59 (=> @t128 (_ @t27 @t369))))) % 0.48/1.01 (assume @p126 (forall @t109 (=> @t167 (=> @t108 @t370)))) % 0.48/1.01 (assume @p127 (forall @t118 (=> @t158 (=> @t117 @t371)))) % 0.48/1.01 (assume @p128 (forall @t126 (=> @t54 (=> @t125 @t372)))) % 0.48/1.01 (assume @p129 (forall @t129 (=> @t59 (=> @t128 @t373)))) % 0.48/1.01 (assume @p130 (forall @t31 (=> @t374 (=> @t30 (=> @t28 (=> (not @t50) (not @t24))))))) % 0.48/1.01 (assume @p131 (forall @t31 (=> @t24 @t377))) % 0.48/1.01 (assume @p132 (forall @t31 (=> @t30 (=> @t28 (=> @t377 @t24))))) % 0.48/1.01 (assume @p133 (forall @t378 (=> @t374 (=> @t30 (not (= @t376 tptp.bot_bot_set_a)))))) % 0.48/1.01 (assume @p134 (forall (@list @t16 @t15) (or @t377 (_ (_ tptp.ord_less_eq_set_a @t376) @t201)))) % 0.48/1.01 (assume @p135 (forall @t55 (=> @t53 (=> @t379 @t54)))) % 0.48/1.01 (assume @p136 (forall @t60 (=> @t58 (=> @t380 @t59)))) % 0.48/1.01 (assume @p137 (_ (_ tptp.refl_o1298442278od_a_a tptp.bot_bo2131659635od_a_a) tptp.bot_bo1116205875od_a_a)) % 0.48/1.01 (assume @p138 (_ (_ tptp.refl_on_a tptp.bot_bot_set_a) tptp.bot_bo2131659635od_a_a)) % 0.48/1.01 (assume @p139 (_ (_ tptp.order_359341630od_a_a tptp.bot_bo2131659635od_a_a) tptp.bot_bo1116205875od_a_a)) % 0.48/1.01 (assume @p140 (_ (_ tptp.order_preorder_on_a tptp.bot_bot_set_a) tptp.bot_bo2131659635od_a_a)) % 0.48/1.01 (assume @p141 (forall (@list @t250) (_ (_ tptp.total_1490170027od_a_a tptp.bot_bo2131659635od_a_a) @t250))) % 0.48/1.01 (assume @p142 (forall @t381 (_ (_ tptp.total_on_a tptp.bot_bot_set_a) @t255))) % 0.48/1.01 (assume @p143 (forall (@list @t52 @t51 @t122 @t119) (=> @t54 (or @t383 (_ (_ tptp.ord_le1824328871od_a_a @t382) @t368))))) % 0.48/1.01 (assume @p144 (forall (@list @t57 @t56 @t16 @t15) (=> @t59 (or @t385 (_ (_ tptp.ord_less_eq_set_a @t384) @t369))))) % 0.48/1.01 (assume @p145 (forall (@list @t62 @t61 @t102) (=> @t167 (=> @t387 (=> @t104 (not (= @t386 tptp.bot_bo1116205875od_a_a))))))) % 0.48/1.01 (assume @p146 (forall (@list @t52 @t51 @t119) (=> @t54 (=> @t388 (=> @t121 (not (= @t382 tptp.bot_bo2131659635od_a_a))))))) % 0.48/1.01 (assume @p147 (forall (@list @t57 @t56 @t15) (=> @t59 (=> @t389 (=> @t127 (not (= @t384 tptp.bot_bot_set_a))))))) % 0.48/1.01 (assume @p148 (= tptp.prefer1064779160od_a_a tptp.total_1490170027od_a_a)) % 0.48/1.01 (assume @p149 @t390) % 0.48/1.01 (assume @p150 (forall @t55 (=> @t161 @t379))) % 0.48/1.01 (assume @p151 (forall @t60 (=> @t162 @t380))) % 0.48/1.01 (assume @p152 (forall @t55 (=> @t54 @t379))) % 0.48/1.01 (assume @p153 (forall @t60 (=> @t59 @t380))) % 0.48/1.01 (assume @p154 (forall @t118 (=> @t158 (=> @t117 @t391)))) % 0.48/1.01 (assume @p155 (forall @t126 (=> @t54 (=> @t125 @t383)))) % 0.48/1.01 (assume @p156 (forall @t129 (=> @t59 (=> @t128 @t385)))) % 0.48/1.01 (assume @p157 (forall @t109 (=> @t167 (=> @t104 (=> @t166 (=> (_ (_ tptp.ord_le456379495od_a_a @t366) @t386) @t108)))))) % 0.48/1.01 (assume @p158 (forall @t118 (=> @t158 (=> @t112 (=> @t170 (=> @t391 @t117)))))) % 0.48/1.01 (assume @p159 (forall @t126 (=> @t54 (=> @t121 (=> @t173 (=> @t383 @t125)))))) % 0.48/1.01 (assume @p160 (forall @t129 (=> @t59 (=> @t127 (=> @t174 (=> @t385 @t128)))))) % 0.48/1.01 (assume @p161 (forall @t109 (=> @t167 (=> @t387 (=> @t104 (=> @t166 (=> (not @t370) (not @t108)))))))) % 0.48/1.01 (assume @p162 (forall @t118 (=> @t158 (=> (not (= @t72 tptp.bot_bot_set_set_a)) (=> @t112 (=> @t170 (=> (not @t371) (not @t117)))))))) % 0.48/1.01 (assume @p163 (forall @t126 (=> @t54 (=> @t388 (=> @t121 (=> @t173 (=> (not @t372) (not @t125)))))))) % 0.48/1.01 (assume @p164 (forall @t129 (=> @t59 (=> @t389 (=> @t127 (=> @t174 (=> (not @t373) (not @t128)))))))) % 0.48/1.01 (assume @p165 (forall @t351 (= @t394 @t392))) % 0.48/1.01 (assume @p166 (forall @t346 (= @t397 @t395))) % 0.48/1.01 (assume @p167 (forall @t351 (_ (_ tptp.ord_le1824328871od_a_a tptp.bot_bo2131659635od_a_a) @t251))) % 0.48/1.01 (assume @p168 (forall @t346 (_ @t398 @t256))) % 0.48/1.01 (assume @p169 (forall (@list @t230 @t227 @t401 @t399) (= (_ (_ tptp.ord_le486764743_set_a @t233) (_ (_ tptp.produc1928581911_set_a @t401) @t399)) (and @t403 (_ @t400 @t399))))) % 0.48/1.01 (assume @p170 (forall (@list @t251 @t306) (=> (forall @t353 (=> @t254 (_ @t91 @t306))) @t404))) % 0.48/1.01 (assume @p171 (forall @t406 (=> (forall @t358 (=> @t261 (_ @t101 @t310))) @t405))) % 0.48/1.01 (assume @p172 (forall @t406 (=> @t405 (=> @t409 @t407)))) % 0.48/1.01 (assume @p173 (forall (@list @t410) (not (_ @t411 tptp.bot_bo2131659635od_a_a)))) % 0.48/1.01 (assume @p174 (forall (@list @t412) (not (_ @t413 tptp.bot_bot_set_a)))) % 0.48/1.01 (assume @p175 (forall @t351 (= (forall @t350 (not @t349)) @t392))) % 0.48/1.01 (assume @p176 (forall @t346 (= (forall @t345 (not @t344)) @t395))) % 0.48/1.01 (assume @p177 (forall @t416 (= (= tptp.bot_bot_set_a @t338) @t415))) % 0.48/1.01 (assume @p178 (forall @t416 (= @t417 @t415))) % 0.48/1.01 (assume @p179 (forall (@list @t255 @t418) (=> (forall @t100 (=> @t258 (_ @t98 @t418))) (_ (_ tptp.ord_le1824328871od_a_a @t255) @t418)))) % 0.48/1.01 (assume @p180 (forall @t351 (= (exists @t350 @t349) @t419))) % 0.48/1.01 (assume @p181 (forall @t346 (= (exists @t345 @t344) @t420))) % 0.48/1.01 (assume @p182 (forall @t351 (=> (forall (@list @t83) (not @t253)) @t392))) % 0.48/1.01 (assume @p183 (forall @t346 (=> (forall (@list @t93) (not @t260)) @t395))) % 0.48/1.01 (assume @p184 (forall (@list @t251 @t220) (=> @t392 @t421))) % 0.48/1.01 (assume @p185 (forall (@list @t256 @t240) (=> @t395 @t422))) % 0.48/1.01 (assume @p186 (forall @t423 (not (_ @t270 tptp.bot_bo2131659635od_a_a)))) % 0.48/1.01 (assume @p187 (forall @t424 (not (_ @t275 tptp.bot_bot_set_a)))) % 0.48/1.01 (assume @p188 (forall @t359 (= @t425 (forall @t345 (=> @t414 (_ @t354 @t342)))))) % 0.48/1.01 (assume @p189 (= @t431 (lambda @t428 (and (_ (_ tptp.ord_less_eq_set_a @t426) @t427) (_ (_ tptp.ord_less_eq_set_a @t427) @t426))))) % 0.48/1.01 (assume @p190 (forall (@list @t256 @t310 @t432) (=> @t405 (=> (_ @t408 @t432) (_ @t396 @t432))))) % 0.48/1.01 (assume @p191 (forall @t359 (=> (forall @t358 (=> @t357 @t356)) @t425))) % 0.48/1.01 (assume @p192 (forall @t346 (_ @t396 @t256))) % 0.48/1.01 (assume @p193 (forall @t406 (=> @t407 @t409))) % 0.48/1.01 (assume @p194 (forall @t406 (=> @t407 @t405))) % 0.48/1.01 (assume @p195 (= tptp.ord_le1824328871od_a_a (lambda @t436 (forall @t350 (=> @t435 (_ @t348 @t433)))))) % 0.48/1.01 (assume @p196 (= tptp.ord_less_eq_set_a (lambda @t428 (forall @t345 (=> @t437 (_ @t343 @t427)))))) % 0.48/1.01 (assume @p197 (forall @t406 (=> @t407 (not (=> @t405 (not @t409)))))) % 0.48/1.01 (assume @p198 (forall (@list @t251 @t306 @t410) (=> @t404 (=> @t438 (_ @t411 @t306))))) % 0.48/1.01 (assume @p199 (forall (@list @t256 @t310 @t412) (=> @t405 (=> @t439 (_ @t413 @t310))))) % 0.48/1.01 (assume @p200 (forall (@list @t251 @t306 @t119) (=> @t404 (=> @t283 @t440)))) % 0.48/1.01 (assume @p201 (forall (@list @t256 @t310 @t15) (=> @t405 (=> @t286 @t441)))) % 0.48/1.01 (assume @p202 (forall (@list @t110 @t443 @t113 @t442) (=> (_ @t445 @t443) (=> (_ @t444 @t442) (_ (_ tptp.ord_le486764743_set_a @t115) (_ (_ tptp.produc1928581911_set_a @t443) @t442)))))) % 0.48/1.01 (assume @p203 (= tptp.bot_bo1519632275_set_a (_ (_ tptp.produc1928581911_set_a tptp.bot_bot_set_a) tptp.bot_bot_set_a))) % 0.48/1.01 (assume @p204 (forall (@list @t110) (_ @t445 @t110))) % 0.48/1.01 (assume @p205 (forall @t351 (=> (forall @t353 (not @t254)) @t394))) % 0.48/1.01 (assume @p206 (forall @t346 (=> (forall @t358 (not @t261)) @t397))) % 0.48/1.01 (assume @p207 (forall @t448 (=> @t447 @t446))) % 0.48/1.01 (assume @p208 (forall @t448 (= @t447 @t446))) % 0.48/1.01 (assume @p209 (forall @t448 (_ @t398 @t230))) % 0.48/1.01 (assume @p210 (= tptp.bot_bot_set_a (_ tptp.collect_a tptp.bot_bot_a_o))) % 0.48/1.01 (assume @p211 (forall @t454 (=> (_ @t402 @t453) @t452))) % 0.48/1.01 (assume @p212 (forall @t457 (=> @t456 (=> (_ (_ tptp.ord_less_eq_set_a @t453) @t401) @t455)))) % 0.48/1.01 (assume @p213 (forall @t454 (=> (= @t230 @t453) @t452))) % 0.48/1.01 (assume @p214 (forall @t457 (=> @t456 (=> (= @t453 @t401) @t455)))) % 0.48/1.01 (assume @p215 (= @t431 (lambda @t460 (and (_ (_ tptp.ord_less_eq_set_a @t458) @t459) (_ (_ tptp.ord_less_eq_set_a @t459) @t458))))) % 0.48/1.01 (assume @p216 (forall @t463 (=> @t462 (=> @t461 @t168)))) % 0.48/1.01 (assume @p217 (forall @t463 (=> @t168 @t462))) % 0.48/1.01 (assume @p218 (forall @t465 (=> @t456 @t464))) % 0.48/1.01 (assume @p219 (forall (@list @t113 @t110) (=> @t461 (= @t462 @t168)))) % 0.48/1.01 (assume @p220 (= @t431 (lambda @t470 (and @t469 @t468)))) % 0.48/1.01 (assume @p221 (forall @t465 (=> @t471 @t464))) % 0.48/1.01 (assume @p222 (forall @t465 (=> @t456 (=> (= @t227 @t401) @t403)))) % 0.48/1.01 (assume @p223 (forall (@list @t230 @t227) (=> @t456 (=> @t472 @t471)))) % 0.48/1.01 (assume @p224 (forall (@list @t110 @t113 @t130) (=> @t462 (=> (_ @t444 @t130) (_ @t445 @t130))))) % 0.48/1.01 (assume @p225 (forall @t448 (_ @t402 @t230))) % 0.48/1.01 (assume @p226 (forall (@list @t227 @t230 @t401) (=> @t472 (=> (_ @t473 @t227) (_ @t473 @t230))))) % 0.48/1.01 (assume @p227 (= @t431 (lambda @t470 (and @t468 @t469)))) % 0.48/1.01 (assume @p228 (forall (@list @t227 @t230) (=> @t472 (=> @t456 @t471)))) % 0.48/1.01 (assume @p229 (forall (@list @t476 @t478 @t474 @t475) (=> (_ (_ tptp.member449909584od_a_a (_ @t477 @t478)) @t474) (=> (= @t475 @t478) (_ (_ tptp.member449909584od_a_a (_ @t477 @t475)) @t474))))) % 0.48/1.01 (assume @p230 (_ tptp.trans_a tptp.relation)) % 0.48/1.01 (assume @p231 (forall (@list @t255 @t15 @t16 @t32) (=> @t479 (=> @t287 (=> (_ @t34 @t255) (_ @t41 @t255)))))) % 0.48/1.01 (assume @p232 (forall @t381 (=> (forall (@list @t95 @t93 @t480) (=> @t258 (=> (_ (_ tptp.member449909584od_a_a (_ @t257 @t480)) @t255) (_ (_ tptp.member449909584od_a_a (_ @t96 @t480)) @t255)))) @t479))) % 0.48/1.01 (assume @p233 (_ tptp.trans_a tptp.bot_bo2131659635od_a_a)) % 0.48/1.01 (assume @p234 (forall @t60 (=> @t58 (_ tptp.trans_a @t56)))) % 0.48/1.01 (assume @p235 (forall @t416 (= @t417 (= @t337 tptp.bot_bot_a_o)))) % 0.48/1.01 (assume @p236 (= (_ tptp.id_on_a tptp.bot_bot_set_a) tptp.bot_bo2131659635od_a_a)) % 0.48/1.01 (assume @p237 (forall @t482 (=> @t271 (_ @t269 @t481)))) % 0.48/1.01 (assume @p238 (forall @t484 (=> @t276 (_ @t274 @t483)))) % 0.48/1.01 (assume @p239 (forall (@list @t119 @t122 @t251) (= (_ @t124 @t481) (and @t171 @t283)))) % 0.48/1.01 (assume @p240 (forall (@list @t15 @t16 @t256) (= (_ @t23 @t483) (and @t25 @t286)))) % 0.48/1.01 (assume @p241 (forall @t486 (=> @t485 (=> @t271 (_ @t292 @t481))))) % 0.48/1.01 (assume @p242 (forall @t488 (=> @t487 (=> @t276 (_ @t295 @t483))))) % 0.48/1.01 (assume @p243 (forall (@list @t489 @t251) (=> (_ (_ tptp.member2057358096od_a_a @t489) @t481) (not (forall @t353 (=> @t254 (not (= @t489 (_ @t86 @t85))))))))) % 0.48/1.01 (assume @p244 (forall (@list @t410 @t256) (=> (_ @t411 @t483) (not (forall @t358 (=> @t261 (not (= @t410 (_ @t96 @t95))))))))) % 0.48/1.01 (assume @p245 (forall @t346 (_ tptp.trans_a @t483))) % 0.48/1.01 (assume @p246 (forall @t346 (_ @t277 @t483))) % 0.48/1.01 (assume @p247 (forall (@list @t255 @t240 @t237) (=> @t479 (=> @t296 (_ (_ tptp.ord_less_eq_set_a (_ @t490 @t240)) (_ @t490 @t237)))))) % 0.48/1.01 (assume @p248 (forall (@list @t491 @t110 @t493) (=> @t496 (=> @t495 (=> (forall (@list @t76) (=> (_ @t491 @t76) (=> (forall (@list @t494) (=> (_ @t491 @t494) (_ (_ tptp.ord_less_eq_set_a @t494) @t76))) (_ @t493 @t76)))) (_ @t493 @t492)))))) % 0.48/1.01 (assume @p249 (forall (@list @t491 @t110) (=> @t496 (=> @t495 (= @t492 @t110))))) % 0.48/1.01 (assume @p250 (forall @t424 (_ tptp.trans_a (_ (_ tptp.insert1116662519od_a_a @t273) tptp.bot_bo2131659635od_a_a)))) % 0.48/1.01 (assume @p251 (forall @t488 (= @t498 (or @t487 @t276)))) % 0.48/1.01 (assume @p252 (forall @t486 (= @t500 (or @t485 @t271)))) % 0.48/1.01 (assume @p253 (forall @t504 (=> (=> (not @t503) @t487) @t502))) % 0.48/1.01 (assume @p254 (forall @t508 (=> (=> (not @t507) @t485) @t506))) % 0.48/1.01 (assume @p255 (forall @t423 (_ @t270 @t510))) % 0.48/1.01 (assume @p256 (forall @t424 (_ @t275 @t512))) % 0.48/1.01 (assume @p257 (forall @t515 (= (_ (_ tptp.ord_le1824328871od_a_a @t514) @t306) (and @t440 @t404)))) % 0.48/1.01 (assume @p258 (forall @t518 (= (_ (_ tptp.ord_less_eq_set_a @t517) @t310) (and @t441 @t405)))) % 0.48/1.01 (assume @p259 (forall (@list @t237 @t240 @t256) (= (= @t519 @t521) @t520))) % 0.48/1.01 (assume @p260 (forall (@list @t240 @t256 @t237) (= (= @t521 @t519) @t520))) % 0.48/1.01 (assume @p261 (forall @t523 (= @t522 @t327))) % 0.48/1.01 (assume @p262 (forall (@list @t119 @t251 @t524) (=> @t283 (=> (_ (_ tptp.ord_le1824328871od_a_a @t524) @t251) (_ (_ tptp.ord_le1824328871od_a_a (_ @t513 @t524)) @t251))))) % 0.48/1.01 (assume @p263 (forall (@list @t15 @t256 @t525) (=> @t286 (=> (_ @t526 @t256) (_ (_ tptp.ord_less_eq_set_a (_ @t516 @t525)) @t256))))) % 0.48/1.01 (assume @p264 (forall (@list @t240 @t237) (=> (= @t512 @t519) @t487))) % 0.48/1.01 (assume @p265 (forall @t484 (not (= @t521 tptp.bot_bot_set_a)))) % 0.48/1.01 (assume @p266 (forall (@list @t240 @t237 @t412 @t527) (= (= (_ @t511 @t519) (_ (_ tptp.insert_a @t412) (_ (_ tptp.insert_a @t527) tptp.bot_bot_set_a))) (or (and (= @t240 @t412) (= @t237 @t527)) (and (= @t240 @t527) (= @t237 @t412)))))) % 0.48/1.01 (assume @p267 (forall @t530 (= @t529 @t528))) % 0.48/1.01 (assume @p268 (forall @t533 (= @t532 @t531))) % 0.48/1.01 (assume @p269 (forall @t530 (=> @t529 @t528))) % 0.48/1.01 (assume @p270 (forall @t533 (=> @t532 @t531))) % 0.48/1.01 (assume @p271 (forall (@list @t256 @t310 @t237) (=> @t405 (_ @t396 @t501)))) % 0.48/1.01 (assume @p272 (forall (@list @t310 @t240) (_ @t408 @t534))) % 0.48/1.01 (assume @p273 (forall @t515 (=> @t536 (= (_ @t393 @t535) @t404)))) % 0.48/1.01 (assume @p274 (forall @t518 (=> @t538 (= (_ @t396 @t537) @t405)))) % 0.48/1.01 (assume @p275 (forall (@list @t432 @t539 @t240) (=> (_ (_ tptp.ord_less_eq_set_a @t432) @t539) (_ (_ tptp.ord_less_eq_set_a (_ @t511 @t432)) (_ @t511 @t539))))) % 0.48/1.01 (assume @p276 (forall @t484 (=> @t276 (exists @t541 (and (= @t256 (_ @t511 @t540)) (not (_ @t275 @t540))))))) % 0.48/1.01 (assume @p277 (forall @t482 (=> @t271 (exists @t543 (and (= @t251 (_ @t509 @t542)) (not (_ @t270 @t542))))))) % 0.48/1.01 (assume @p278 (forall (@list @t240 @t256 @t237 @t310) (=> @t422 (=> (not (_ @t293 @t310)) (= (= @t521 @t501) (and (=> @t487 @t407) (=> @t545 (exists (@list @t544) (and (= @t256 (_ @t497 @t544)) (not (_ @t293 @t544)) (= @t310 (_ @t511 @t544)) (not (_ @t275 @t544))))))))))) % 0.48/1.01 (assume @p279 (forall (@list @t220 @t251 @t217 @t306) (=> @t421 (=> (not (_ @t290 @t306)) (= (= @t549 @t505) (and (=> @t485 @t548) (=> @t547 (exists (@list @t546) (and (= @t251 (_ @t499 @t546)) (not (_ @t290 @t546)) (= @t306 (_ @t509 @t546)) (not (_ @t270 @t546))))))))))) % 0.48/1.01 (assume @p280 (forall @t484 (=> @t276 (= @t521 @t256)))) % 0.48/1.01 (assume @p281 (forall @t482 (=> @t271 (= @t549 @t251)))) % 0.48/1.01 (assume @p282 (forall @t518 (=> @t538 (=> (not @t441) (= (= @t517 @t537) @t407))))) % 0.48/1.01 (assume @p283 (forall @t515 (=> @t536 (=> (not @t440) (= (= @t514 @t535) @t548))))) % 0.48/1.01 (assume @p284 (forall (@list @t15 @t256) (=> @t286 (not (forall @t541 (=> (= @t256 (_ @t516 @t540)) (_ @t29 @t540))))))) % 0.48/1.01 (assume @p285 (forall (@list @t119 @t251) (=> @t283 (not (forall @t543 (=> (= @t251 (_ @t513 @t542)) (_ @t120 @t542))))))) % 0.48/1.01 (assume @p286 (forall @t504 (=> @t503 @t502))) % 0.48/1.01 (assume @p287 (forall @t508 (=> @t507 @t506))) % 0.48/1.01 (assume @p288 (forall (@list @t240 @t310) (_ @t275 @t534))) % 0.48/1.01 (assume @p289 (forall (@list @t220 @t306) (_ @t270 (_ @t509 @t306)))) % 0.48/1.01 (assume @p290 (forall @t488 (=> @t498 (=> @t545 @t276)))) % 0.48/1.01 (assume @p291 (forall @t486 (=> @t500 (=> @t547 @t271)))) % 0.48/1.01 (assume @p292 (forall (@list @t550) (= @t550 (_ (_ tptp.product_Pair_a_a (_ tptp.product_fst_a_a @t550)) (_ tptp.product_snd_a_a @t550))))) % 0.48/1.01 (assume @p293 (forall @t523 (= @t327 @t522))) % 0.48/1.01 (assume @p294 (forall @t551 (= (_ tptp.product_fst_a_a @t215) @t214))) % 0.48/1.01 (assume @p295 (forall @t553 (=> (= @t552 @t240) (= @t15 @t240)))) % 0.48/1.01 (assume @p296 (forall @t551 (= (_ tptp.product_snd_a_a @t215) @t212))) % 0.48/1.01 (assume @p297 (forall @t553 (=> (= @t554 @t240) (= @t16 @t240)))) % 0.48/1.01 (assume @p298 (forall @t378 (_ (_ tptp.refl_on_a @t556) @t555))) % 0.48/1.01 (assume @p299 (forall @t378 (_ (_ tptp.total_on_a @t556) @t555))) % 0.48/1.01 (assume @p300 (forall (@list @t256 @t15) (=> (_ @t396 @t556) (or @t395 (= @t256 @t556))))) % 0.48/1.01 (assume @p301 (forall (@list @t525 @t240) (= (_ @t526 @t512) (or (= @t525 tptp.bot_bot_set_a) (= @t525 @t512))))) % 0.48/1.01 (assume @p302 (forall (@list @t557 @t15 @t16 @t220) (=> (_ (_ @t557 @t15) @t16) (=> (= @t220 @t22) (_ (_ @t557 (_ tptp.product_fst_a_a @t220)) (_ tptp.product_snd_a_a @t220)))))) % 0.48/1.01 (assume @p303 (forall (@list @t337 @t559 @t354 @t558) (=> (_ @t337 @t559) (=> (_ @t354 @t558) (and (_ @t337 (_ tptp.product_fst_a_a @t560)) (_ @t354 (_ tptp.product_snd_a_a @t560))))))) % 0.48/1.01 (assume @p304 (forall (@list @t557 @t16 @t15) (=> (_ (_ @t557 @t16) @t15) (_ (_ @t557 @t554) @t552)))) % 0.48/1.01 (assume @p305 (forall @t378 (= (_ tptp.the_elem_a @t556) @t15))) % 0.48/1.01 (assume @p306 (forall @t378 (_ tptp.is_singleton_a @t556))) % 0.48/1.01 (assume @p307 (forall @t351 (=> @t419 (=> (forall @t90 (=> @t254 (=> @t253 @t252))) (_ tptp.is_sin877026331od_a_a @t251))))) % 0.48/1.01 (assume @p308 (forall @t346 (=> @t420 (=> (forall @t100 (=> @t261 (=> @t260 @t259))) @t561)))) % 0.48/1.01 (assume @p309 (forall @t346 (=> @t561 (not (forall @t358 (not (= @t256 (_ (_ tptp.insert_a @t95) tptp.bot_bot_set_a)))))))) % 0.48/1.01 (assume @p310 (= tptp.is_singleton_a (lambda @t562 (exists @t345 (= @t426 (_ (_ tptp.insert_a @t342) tptp.bot_bot_set_a)))))) % 0.48/1.01 (assume @p311 (forall @t378 (_ (_ tptp.order_653178931r_on_a @t556) @t555))) % 0.48/1.01 (assume @p312 (forall @t564 (=> @t563 (= (_ tptp.product_snd_a_a @t119) @t32)))) % 0.48/1.01 (assume @p313 (_ (_ tptp.order_653178931r_on_a tptp.bot_bot_set_a) tptp.bot_bo2131659635od_a_a)) % 0.48/1.01 (assume @p314 (forall @t564 (=> @t563 (= (_ tptp.product_fst_a_a @t119) @t16)))) % 0.48/1.01 (assume @p315 (forall (@list @t237 @t365) (= (= @t237 (_ tptp.product_snd_a_a @t365)) (exists (@list @t565) (= @t365 (_ @t566 @t237)))))) % 0.48/1.01 (assume @p316 (forall (@list @t240 @t365) (= (= @t240 (_ tptp.product_fst_a_a @t365)) (exists (@list @t567) (= @t365 (_ @t242 @t567)))))) % 0.48/1.01 (assume @p317 (forall @t570 (= (_ tptp.range_a_a @t569) (_ @t497 @t568)))) % 0.48/1.01 (assume @p318 (forall @t31 (= (_ tptp.product_swap_a_a @t22) @t18))) % 0.48/1.01 (assume @p319 (forall (@list @t237 @t255) (=> @t572 (not (forall @t571 (not (_ (_ tptp.member449909584od_a_a (_ @t331 @t237)) @t255))))))) % 0.48/1.01 (assume @p320 (forall @t577 (= @t576 (exists @t575 (_ (_ tptp.member449909584od_a_a (_ @t574 @t240)) @t255))))) % 0.48/1.01 (assume @p321 (forall @t577 (=> @t576 (not (forall @t571 (not (_ (_ tptp.member449909584od_a_a (_ @t331 @t240)) @t255))))))) % 0.48/1.01 (assume @p322 (forall @t577 (= @t576 (exists (@list @t565 @t567) (and (= @t240 @t567) (_ (_ tptp.member449909584od_a_a (_ @t566 @t567)) @t255)))))) % 0.48/1.01 (assume @p323 (forall @t570 (=> @t296 @t572))) % 0.48/1.01 (assume @p324 (forall (@list @t15 @t255 @t337) (=> (_ @t29 @t568) (=> (forall @t333 (=> (_ (_ tptp.member449909584od_a_a @t332) @t255) (_ @t337 @t329))) (_ @t337 @t15))))) % 0.48/1.01 (assume @p325 (forall @t570 (= (_ tptp.domain_a_a @t569) (_ @t511 (_ tptp.domain_a_a @t255))))) % 0.48/1.01 (assume @p326 (forall (@list @t251 @t217) (= (_ @t393 (_ tptp.uminus1440301054od_a_a (_ @t499 tptp.bot_bo2131659635od_a_a))) (not @t291)))) % 0.48/1.01 (assume @p327 (forall (@list @t256 @t237) (= (_ @t396 (_ tptp.uminus_uminus_set_a @t519)) (not @t294)))) % 0.48/1.01 (assume @p328 (forall @t581 (= @t580 @t578))) % 0.48/1.01 (assume @p329 (forall @t584 (= @t583 @t582))) % 0.48/1.01 (assume @p330 (forall @t581 (=> @t578 @t580))) % 0.48/1.01 (assume @p331 (forall @t584 (=> @t582 @t583))) % 0.48/1.01 (assume @p332 (forall @t406 (=> @t405 (_ (_ tptp.ord_less_eq_set_a @t585) @t579)))) % 0.48/1.01 (assume @p333 (forall @t406 (= (_ (_ tptp.ord_less_eq_set_a @t579) @t585) @t409))) % 0.48/1.01 (assume @p334 (forall @t346 (= (_ @t396 @t579) @t395))) % 0.48/1.01 (assume @p335 @t589) % 0.48/1.01 (assume @p336 true) % 0.48/1.01 (step @p337 (= tptp.prefer1409946857od_a_a @t595) :rule refl :args (@t595)) % 0.48/1.01 (step @p338 (= tptp.prefer1710114912_set_a @t602) :rule refl :args (@t602)) % 0.48/1.01 (step @p339 (= tptp.prefer1338892073od_a_a @t611) :rule refl :args (@t611)) % 0.48/1.01 (step @p340 (= tptp.prefer1292084992ence_a @t627) :rule refl :args (@t627)) % 0.48/1.01 (step @p341 (= tptp.total_on_set_a @t630) :rule refl :args (@t630)) % 0.48/1.01 (step @p342 (= tptp.total_1490170027od_a_a @t632) :rule refl :args (@t632)) % 0.48/1.01 (step @p343 (= tptp.total_on_a @t646) :rule refl :args (@t646)) % 0.48/1.01 (step @p344 (= tptp.prefer697821563od_a_a @t647) :rule refl :args (@t647)) % 0.48/1.01 (step @p345 (= tptp.prefer719835986ence_a @t650) :rule refl :args (@t650)) % 0.48/1.01 (step @p346 (= tptp.ord_le1824328871od_a_a @t653) :rule refl :args (@t653)) % 0.48/1.01 (step @p347 (= tptp.ord_less_eq_set_a @t656) :rule refl :args (@t656)) % 0.48/1.01 (step @p348 (= tptp.bot_bo1293121322_a_a_o @t657) :rule refl :args (@t657)) % 0.48/1.01 (step @p349 (= tptp.bot_bot_a_o @t658) :rule refl :args (@t658)) % 0.48/1.01 (step @p350 (= tptp.is_empty_a @t659) :rule refl :args (@t659)) % 0.48/1.01 (step @p351 (= tptp.trans_a @t669) :rule refl :args (@t669)) % 0.48/1.01 (step @p352 (= tptp.order_preorder_on_a @t672) :rule refl :args (@t672)) % 0.48/1.01 (step @p353 (= tptp.bNF_Ca850758276_set_a @t676) :rule refl :args (@t676)) % 0.48/1.01 (step @p354 (= tptp.ord_le486764743_set_a @t679) :rule refl :args (@t679)) % 0.48/1.01 (step @p355 (= tptp.is_singleton_a @t680) :rule refl :args (@t680)) % 0.48/1.01 (step @p356 (= tptp.product_swap_a_a @t682) :rule refl :args (@t682)) % 0.48/1.01 (step @p357 :rule refl :args (@t687)) % 0.48/1.01 (step @p358 :rule refl :args (@t688)) % 0.48/1.01 (step @p359 :rule refl :args (@t6)) % 0.48/1.01 (step @p360 :rule cong :premises (@p359 @p358) :args ((= @t6 @t688))) % 0.48/1.01 (step @p361 :rule symm :premises (@p360)) % 0.48/1.01 (step @p362 :rule eq_resolve :premises (@p359 @p361)) % 0.48/1.01 (step @p363 :rule refl :args (@t690)) % 0.48/1.01 (step @p364 :rule refl :args (@t692)) % 0.48/1.01 (step @p365 :rule refl :args (@t700)) % 0.48/1.01 (step @p366 :rule nary_cong :premises (@p365 @p364 @p363 @p362 @p357) :args ((and @t700 @t692 @t690 @t6 @t687))) % 0.48/1.01 (step @p367 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0.48/1.01 (step @p590 :rule cong :premises (@p589) :args ((forall @t621 @t758))) % 0.48/1.01 (step @p591 :rule bool-impl-elim :args (@t620 @t623)) % 0.48/1.01 (step @p592 :rule cong :premises (@p591) :args (@t624)) % 0.48/1.01 (step @p593 :rule trans :premises (@p592 @p590)) % 0.48/1.01 (step @p594 :rule nary_cong :premises (@p593 @p583 @p561) :args (@t625)) % 0.48/1.01 (step @p595 :rule cong :premises (@p594) :args (@t627)) % 0.48/1.01 (step @p596 :rule trans :premises (@p340 @p595)) % 0.48/1.01 (step @p597 :rule ho_cong :premises (@p596 @p491)) % 0.48/1.01 (step @p598 :rule ho_cong :premises (@p597 @p477)) % 0.48/1.01 (step @p599 :rule nary_cong :premises (@p598 @p483) :args (@t649)) % 0.48/1.01 (step @p600 :rule trans :premises (@p599 @p560)) % 0.48/1.01 (step @p601 :rule cong :premises (@p600) :args (@t650)) % 0.48/1.01 (step @p602 :rule trans :premises (@p345 @p601)) % 0.48/1.01 (step @p603 :rule trans :premises (@p602 @p553)) % 0.48/1.01 (step @p604 :rule ho_cong :premises (@p603 @p374)) % 0.48/1.01 (step @p605 :rule ho_cong :premises (@p604 @p369)) % 0.48/1.01 (step @p606 :rule trans :premises (@p605 @p490)) % 0.48/1.01 (step @p607 :rule trans :premises (@p606 @p472 @p366)) % 0.48/1.01 (step @p608 :rule eq_resolve :premises (@p2 @p607)) % 0.48/1.01 (step @p609 :rule and_elim :premises (@p608) :args (1)) % 0.48/1.01 (step @p610 :rule refl :args ((tptp.member449909584od_a_a @t1 tptp.relation))) % 0.48/1.01 (step @p611 :rule refl :args (tptp.relation)) % 0.48/1.01 (step @p612 :rule refl :args (@t759)) % 0.48/1.01 (step @p613 :rule cong :premises (@p612 @p611) :args (@t760)) % 0.48/1.01 (step @p614 :rule trans :premises (@p613 @p610)) % 0.48/1.01 (step @p615 :rule ho_cong :premises (@p405 @p612)) % 0.48/1.01 (step @p616 :rule ho_cong :premises (@p615 @p611)) % 0.48/1.01 (step @p617 :rule cong :premises (@p616 @p614) :args ((= (_ (_ tptp.member449909584od_a_a @t759) tptp.relation) @t760))) % 0.48/1.01 (step @p618 :rule symm :premises (@p617)) % 0.48/1.01 (step @p619 :rule refl :args (@t2)) % 0.48/1.01 (step @p620 :rule eq_resolve :premises (@p619 @p618)) % 0.48/1.01 (step @p621 :rule refl :args (@t1)) % 0.48/1.01 (step @p622 :rule cong :premises (@p621 @p612) :args ((= @t1 @t759))) % 0.48/1.01 (step @p623 :rule symm :premises (@p622)) % 0.48/1.01 (step @p624 :rule eq_resolve :premises (@p621 @p623)) % 0.48/1.01 (step @p625 :rule refl :args (tptp.member449909584od_a_a)) % 0.48/1.01 (step @p626 :rule ho_cong :premises (@p625 @p624)) % 0.48/1.01 (step @p627 :rule ho_cong :premises (@p626 @p369)) % 0.48/1.01 (step @p628 :rule trans :premises (@p627 @p620)) % 0.48/1.01 (step @p629 :rule and_elim :premises (@p1) :args (1)) % 0.48/1.01 (step @p630 :rule eq_resolve :premises (@p629 @p628)) % 0.48/1.01 (step @p631 :rule instantiate :premises (@p609) :args ((@list tptp.z tptp.y))) % 0.48/1.01 (step @p632 :rule refl :args ((tptp.member449909584od_a_a @t3 tptp.relation))) % 0.48/1.01 (step @p633 :rule refl :args (@t761)) % 0.48/1.01 (step @p634 :rule cong :premises (@p633 @p611) :args (@t762)) % 0.48/1.01 (step @p635 :rule trans :premises (@p634 @p632)) % 0.48/1.01 (step @p636 :rule ho_cong :premises (@p405 @p633)) % 0.48/1.01 (step @p637 :rule ho_cong :premises (@p636 @p611)) % 0.48/1.01 (step @p638 :rule cong :premises (@p637 @p635) :args ((= (_ (_ tptp.member449909584od_a_a @t761) tptp.relation) @t762))) % 0.48/1.01 (step @p639 :rule symm :premises (@p638)) % 0.48/1.01 (step @p640 :rule refl :args (@t4)) % 0.48/1.01 (step @p641 :rule eq_resolve :premises (@p640 @p639)) % 0.48/1.01 (step @p642 :rule refl :args (@t3)) % 0.48/1.01 (step @p643 :rule cong :premises (@p642 @p633) :args ((= @t3 @t761))) % 0.48/1.01 (step @p644 :rule symm :premises (@p643)) % 0.48/1.01 (step @p645 :rule eq_resolve :premises (@p642 @p644)) % 0.48/1.01 (step @p646 :rule ho_cong :premises (@p625 @p645)) % 0.48/1.01 (step @p647 :rule ho_cong :premises (@p646 @p369)) % 0.48/1.01 (step @p648 :rule trans :premises (@p647 @p641)) % 0.48/1.01 (step @p649 :rule and_elim :premises (@p1) :args (0)) % 0.48/1.01 (step @p650 :rule eq_resolve :premises (@p649 @p648)) % 0.48/1.01 (step @p651 :rule cnf_or_pos :args (@t765)) % 0.48/1.01 (step @p652 :rule reordering :premises (@p651) :args ((or @t763 @t764 (not @t765)))) % 0.48/1.01 (step @p653 :rule chain_m_resolution :premises (@p652 @p650 @p631) :args (@t763 (@list false false) (@list @t762 @t765))) % 0.48/1.01 (step @p654 :rule refl :args (@t766)) % 0.48/1.01 (step @p655 :rule refl :args (@t586)) % 0.48/1.01 (step @p656 :rule cong :premises (@p655 @p654) :args ((= @t586 @t766))) % 0.48/1.01 (step @p657 :rule symm :premises (@p656)) % 0.48/1.01 (step @p658 :rule eq_resolve :premises (@p655 @p657)) % 0.48/1.01 (step @p659 :rule refl :args (@t763)) % 0.48/1.01 (step @p660 :rule refl :args (@t587)) % 0.48/1.01 (step @p661 :rule cong :premises (@p660 @p659) :args ((= @t587 @t763))) % 0.48/1.01 (step @p662 :rule symm :premises (@p661)) % 0.48/1.01 (step @p663 :rule eq_resolve :premises (@p660 @p662)) % 0.48/1.01 (step @p664 :rule nary_cong :premises (@p663 @p658) :args (@t588)) % 0.48/1.01 (step @p665 :rule cong :premises (@p664) :args (@t589)) % 0.48/1.01 (step @p666 :rule eq_resolve :premises (@p335 @p665)) % 0.48/1.01 (step @p667 :rule not_and :premises (@p666)) % 0.48/1.01 (step @p668 :rule chain_m_resolution :premises (@p667 @p653) :args ((not @t766) (@list false) (@list @t763))) % 0.48/1.01 (step @p669 :rule cnf_or_pos :args (@t768)) % 0.48/1.01 (step @p670 :rule reordering :premises (@p669) :args ((or @t766 @t767 @t769))) % 0.48/1.01 (step @p671 :rule chain_m_resolution :premises (@p670 @p668 @p630) :args (@t769 @t770 (@list @t766 @t760))) % 0.48/1.01 (assume-push @p678 @t692) % 0.48/1.01 (step @p673 :rule instantiate :premises (@p609) :args ((@list tptp.y tptp.z))) % 0.48/1.01 (step-pop @p679 :rule scope :premises (@p673)) % 0.48/1.01 (step @p674 :rule process_scope :premises (@p679) :args (@t768)) % 0.48/1.01 (step @p676 :rule implies_elim :premises (@p674)) % 0.48/1.01 (step @p677 false :rule chain_m_resolution :premises (@p676 @p671 @p609) :args (false @t770 (@list @t768 @t692))) % 0.48/1.01 ) % 0.48/1.01 % SZS output end Proof % 0.48/1.01 % cvc5 exiting %------------------------------------------------------------------------------