%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP154^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:25:13 AM UTC 2026 % Result : Theorem 0.46s 0.87s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP154^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.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 04:16:14 EDT 2026 % 0.17/0.35 % CPUTime : % 0.40/0.61 %----Proving TH0 % 0.46/0.87 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.46/0.87 % SZS status Theorem % 0.46/0.87 % SZS output start Proof % 0.46/0.87 ( % 0.46/0.87 (declare-sort tptp.set_Product_prod_a_a 0) % 0.46/0.87 (declare-sort tptp.set_a 0) % 0.46/0.87 (declare-sort tptp.set_set_a 0) % 0.46/0.87 (declare-sort tptp.set_Pr1948701895od_a_a 0) % 0.46/0.87 (declare-sort tptp.a 0) % 0.46/0.87 (declare-sort tptp.product_prod_a_a 0) % 0.46/0.87 (declare-sort tptp.set_Pr2045688071_set_a 0) % 0.46/0.87 (declare-sort tptp.set_Pr1295299783od_a_a 0) % 0.46/0.87 (declare-sort tptp.produc1572603623od_a_a 0) % 0.46/0.87 (declare-sort tptp.produc386552094_set_a 0) % 0.46/0.87 (declare-sort tptp.produc376942416od_a_a 0) % 0.46/0.87 (declare-sort tptp.produc522143687_set_a 0) % 0.46/0.87 (declare-sort tptp.produc1691597095_set_a 0) % 0.46/0.87 (declare-sort tptp.produc1299534078_set_a 0) % 0.46/0.87 (declare-sort tptp.produc1990712039od_a_a 0) % 0.46/0.87 (declare-sort tptp.produc398359056_set_a 0) % 0.46/0.87 (declare-sort tptp.produc275558334_set_a 0) % 0.46/0.87 (declare-sort tptp.produc407913767_set_a 0) % 0.46/0.87 (declare-sort tptp.produc304417648_set_a 0) % 0.46/0.87 (declare-sort tptp.produc1472671646_set_a 0) % 0.46/0.87 (declare-sort tptp.produc270245360od_a_a 0) % 0.46/0.87 (declare-sort tptp.set_se1596668135od_a_a 0) % 0.46/0.87 (declare-sort tptp.produc1083127431_set_a 0) % 0.46/0.87 (declare-sort tptp.set_set_set_a 0) % 0.46/0.87 (declare-const tptp.order_491428350od_a_a (-> tptp.set_Pr1948701895od_a_a tptp.set_Pr1295299783od_a_a Bool)) % 0.46/0.87 (declare-const tptp.member1899387664od_a_a (-> tptp.produc1990712039od_a_a tptp.set_Pr1295299783od_a_a Bool)) % 0.46/0.87 (declare-const tptp.member2057358096od_a_a (-> tptp.produc1572603623od_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.46/0.87 (declare-const tptp.produc1935643479od_a_a (-> tptp.produc1572603623od_a_a tptp.produc1572603623od_a_a tptp.produc1990712039od_a_a)) % 0.46/0.87 (declare-const tptp.order_816746613_set_a (-> tptp.set_set_a tptp.set_Pr2045688071_set_a Bool)) % 0.46/0.87 (declare-const tptp.member593450832_set_a (-> tptp.produc1691597095_set_a tptp.set_Pr2045688071_set_a Bool)) % 0.46/0.87 (declare-const tptp.member_set_a (-> tptp.set_a tptp.set_set_a Bool)) % 0.46/0.87 (declare-const tptp.produc1928581911_set_a (-> tptp.set_a tptp.set_a tptp.produc1691597095_set_a)) % 0.46/0.87 (declare-const tptp.order_359341630od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.46/0.87 (declare-const tptp.member449909584od_a_a (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a Bool)) % 0.46/0.87 (declare-const tptp.produc1474507607od_a_a (-> tptp.product_prod_a_a tptp.product_prod_a_a tptp.produc1572603623od_a_a)) % 0.46/0.87 (declare-const tptp.refl_on_a (-> tptp.set_a tptp.set_Product_prod_a_a Bool)) % 0.46/0.87 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.46/0.87 (declare-const tptp.product_Pair_a_a (-> tptp.a tptp.a tptp.product_prod_a_a)) % 0.46/0.87 (declare-const tptp.bot_bo2131659635od_a_a tptp.set_Product_prod_a_a) % 0.46/0.87 (declare-const tptp.bot_bot_set_a tptp.set_a) % 0.46/0.87 (declare-const tptp.prefer580340847ioms_a (-> tptp.set_a tptp.set_Product_prod_a_a Bool)) % 0.46/0.87 (declare-const tptp.inf_in920712437od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Product_prod_a_a tptp.set_Product_prod_a_a)) % 0.46/0.87 (declare-const tptp.inf_inf_set_a (-> tptp.set_a tptp.set_a tptp.set_a)) % 0.46/0.87 (declare-const tptp.sup_sup_set_a (-> tptp.set_a tptp.set_a tptp.set_a)) % 0.46/0.87 (declare-const tptp.lattic1600076923_set_a (-> tptp.set_set_a tptp.set_a)) % 0.46/0.87 (declare-const tptp.order_Greatest_set_a (-> (-> tptp.set_a Bool) tptp.set_a)) % 0.46/0.87 (declare-const tptp.id_on_1182990020od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a)) % 0.46/0.87 (declare-const tptp.order_under_a (-> tptp.set_Product_prod_a_a tptp.a tptp.set_a)) % 0.46/0.87 (declare-const tptp.id_on_a (-> tptp.set_a tptp.set_Product_prod_a_a)) % 0.46/0.87 (declare-const tptp.finite179568208od_a_a (-> tptp.set_Product_prod_a_a Bool)) % 0.46/0.87 (declare-const tptp.ord_le1138266544_set_a (-> tptp.produc398359056_set_a tptp.produc398359056_set_a Bool)) % 0.46/0.87 (declare-const tptp.produc760262016_set_a (-> tptp.set_set_a tptp.produc1691597095_set_a tptp.produc398359056_set_a)) % 0.46/0.87 (declare-const tptp.ord_le2039441566_set_a (-> tptp.produc1299534078_set_a tptp.produc1299534078_set_a Bool)) % 0.46/0.87 (declare-const tptp.produc759028718_set_a (-> tptp.produc1691597095_set_a tptp.set_set_a tptp.produc1299534078_set_a)) % 0.46/0.87 (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)) % 0.46/0.88 (declare-const tptp.prefer270414042_set_a (-> tptp.set_a tptp.set_set_a tptp.set_Pr2045688071_set_a tptp.set_set_a)) % 0.46/0.88 (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)) % 0.46/0.88 (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)) % 0.46/0.88 (declare-const tptp.prefer1203288218_set_a (-> tptp.set_a tptp.set_set_a tptp.set_Pr2045688071_set_a tptp.set_set_a)) % 0.46/0.88 (declare-const tptp.collec645855634od_a_a (-> (-> tptp.product_prod_a_a Bool) tptp.set_Product_prod_a_a)) % 0.46/0.88 (declare-const tptp.sup_su615935707od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Product_prod_a_a tptp.set_Product_prod_a_a)) % 0.46/0.88 (declare-const tptp.collec1635618130od_a_a (-> (-> tptp.produc1572603623od_a_a Bool) tptp.set_Pr1948701895od_a_a)) % 0.46/0.88 (declare-const tptp.prefer436369274d_as_a (-> tptp.a tptp.set_a tptp.set_Product_prod_a_a tptp.set_a)) % 0.46/0.88 (declare-const tptp.prefer161218362good_a (-> tptp.a tptp.set_a tptp.set_Product_prod_a_a tptp.set_a)) % 0.46/0.88 (declare-const tptp.lattic501550101_set_a (-> tptp.set_set_a tptp.set_a)) % 0.46/0.88 (declare-const tptp.collect_set_a (-> (-> tptp.set_a Bool) tptp.set_set_a)) % 0.46/0.88 (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)) % 0.46/0.88 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.46/0.88 (declare-const tptp.prefer1671525929_set_a (-> tptp.set_a tptp.set_set_a tptp.set_Pr2045688071_set_a tptp.set_set_a)) % 0.46/0.88 (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)) % 0.46/0.88 (declare-const tptp.produc1560024183_set_a (-> tptp.set_a tptp.set_set_a tptp.produc1083127431_set_a)) % 0.46/0.88 (declare-const tptp.prefer1828051771od_a_a (-> tptp.set_Pr1948701895od_a_a tptp.set_Pr1295299783od_a_a Bool)) % 0.46/0.88 (declare-const tptp.prefer484977842_set_a (-> tptp.set_set_a tptp.set_Pr2045688071_set_a Bool)) % 0.46/0.88 (declare-const tptp.finite_finite_a (-> tptp.set_a Bool)) % 0.46/0.88 (declare-const tptp.total_1490170027od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.46/0.88 (declare-const tptp.bot_bo1264989578_set_a tptp.set_set_set_a) % 0.46/0.88 (declare-const tptp.carrier tptp.set_a) % 0.46/0.88 (declare-const tptp.y tptp.a) % 0.46/0.88 (declare-const tptp.produc1599887374_set_a (-> tptp.set_Product_prod_a_a tptp.set_set_a tptp.produc386552094_set_a)) % 0.46/0.88 (declare-const tptp.prefer1676310729than_a (-> tptp.a tptp.set_a tptp.set_Product_prod_a_a tptp.set_a)) % 0.46/0.88 (declare-const tptp.x tptp.a) % 0.46/0.88 (declare-const tptp.bot_bot_set_set_a tptp.set_set_a) % 0.46/0.88 (declare-const tptp.relation tptp.set_Product_prod_a_a) % 0.46/0.88 (declare-const tptp.ord_le2095302494_set_a (-> tptp.produc275558334_set_a tptp.produc275558334_set_a Bool)) % 0.46/0.88 (declare-const tptp.bot_bo1116205875od_a_a tptp.set_Pr1948701895od_a_a) % 0.46/0.88 (declare-const tptp.prefer697821563od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.46/0.88 (declare-const tptp.bot_bo1424703315od_a_a tptp.set_se1596668135od_a_a) % 0.46/0.88 (declare-const tptp.finite_finite_set_a (-> tptp.set_set_a Bool)) % 0.46/0.88 (declare-const tptp.refl_o1298442278od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.46/0.88 (declare-const tptp.ord_le486764743_set_a (-> tptp.produc1691597095_set_a tptp.produc1691597095_set_a Bool)) % 0.46/0.88 (declare-const tptp.produc1397177024od_a_a (-> tptp.set_a tptp.set_Product_prod_a_a tptp.produc376942416od_a_a)) % 0.46/0.88 (declare-const tptp.finite1606323175_set_a (-> tptp.set_set_set_a Bool)) % 0.46/0.88 (declare-const tptp.ord_le1762684455_set_a (-> tptp.produc1083127431_set_a tptp.produc1083127431_set_a Bool)) % 0.46/0.88 (declare-const tptp.produc272677600_set_a (-> tptp.set_a tptp.produc1691597095_set_a tptp.produc304417648_set_a)) % 0.46/0.88 (declare-const tptp.finite1145471536od_a_a (-> tptp.set_se1596668135od_a_a Bool)) % 0.46/0.88 (declare-const tptp.produc32105911_set_a (-> tptp.set_set_a tptp.set_a tptp.produc522143687_set_a)) % 0.46/0.88 (declare-const tptp.ord_le49202928od_a_a (-> tptp.produc376942416od_a_a tptp.produc376942416od_a_a Bool)) % 0.46/0.88 (declare-const tptp.ord_le1201700711_set_a (-> tptp.produc522143687_set_a tptp.produc522143687_set_a Bool)) % 0.46/0.88 (declare-const tptp.produc1618062688od_a_a (-> tptp.set_set_a tptp.set_Product_prod_a_a tptp.produc270245360od_a_a)) % 0.46/0.88 (declare-const tptp.produc194376366_set_a (-> tptp.set_Product_prod_a_a tptp.set_a tptp.produc275558334_set_a)) % 0.46/0.88 (declare-const tptp.ord_le526661008od_a_a (-> tptp.produc270245360od_a_a tptp.produc270245360od_a_a Bool)) % 0.46/0.88 (declare-const tptp.produc2102896407_set_a (-> tptp.set_set_a tptp.set_set_a tptp.produc407913767_set_a)) % 0.46/0.88 (declare-const tptp.ord_le560833296_set_a (-> tptp.produc304417648_set_a tptp.produc304417648_set_a Bool)) % 0.46/0.88 (declare-const tptp.finite283787856_set_a (-> tptp.set_Pr2045688071_set_a Bool)) % 0.46/0.88 (declare-const tptp.ord_le723713223_set_a (-> tptp.produc407913767_set_a tptp.produc407913767_set_a Bool)) % 0.46/0.88 (declare-const tptp.ord_le642967742_set_a (-> tptp.produc386552094_set_a tptp.produc386552094_set_a Bool)) % 0.46/0.88 (declare-const tptp.produc1719072398_set_a (-> tptp.produc1691597095_set_a tptp.set_a tptp.produc1472671646_set_a)) % 0.46/0.88 (declare-const tptp.ord_le1729087294_set_a (-> tptp.produc1472671646_set_a tptp.produc1472671646_set_a Bool)) % 0.46/0.88 (declare-const tptp.member1838126896od_a_a (-> tptp.set_Product_prod_a_a tptp.set_se1596668135od_a_a Bool)) % 0.46/0.88 (declare-const tptp.bot_bo671027059_set_a tptp.set_Pr2045688071_set_a) % 0.46/0.88 (declare-const tptp.bot_bo1519632275_set_a tptp.produc1691597095_set_a) % 0.46/0.88 (declare-const tptp.member_set_set_a (-> tptp.set_set_a tptp.set_set_set_a Bool)) % 0.46/0.88 (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)) % 0.46/0.88 (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)))))))))) % 0.46/0.88 (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)))))))))) % 0.46/0.88 (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)))))))))) % 0.46/0.88 (define tptp.trans_a () (let ((_let_1 (@var "R" 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))))))))))) % 0.46/0.88 (define tptp.order_preorder_on_a () (let ((_let_1 (@var "R" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "A3" tptp.set_a))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.refl_on_a _let_2) _let_1) (_ tptp.trans_a _let_1)))))) % 0.46/0.88 (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)))))))))) % 0.46/0.88 (define tptp.ord_le456379495od_a_a () (let ((_let_1 (@var "B3" tptp.set_Pr1948701895od_a_a))) (let ((_let_2 (@var "X3" tptp.produc1572603623od_a_a))) (let ((_let_3 (_ tptp.member2057358096od_a_a _let_2))) (let ((_let_4 (@var "A3" tptp.set_Pr1948701895od_a_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.46/0.88 (define tptp.ord_le318720350_set_a () (let ((_let_1 (@var "B3" tptp.set_set_a))) (let ((_let_2 (@var "X3" tptp.set_a))) (let ((_let_3 (_ tptp.member_set_a _let_2))) (let ((_let_4 (@var "A3" tptp.set_set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.46/0.88 (define tptp.ord_le1824328871od_a_a () (let ((_let_1 (@var "B3" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "X3" tptp.product_prod_a_a))) (let ((_let_3 (_ tptp.member449909584od_a_a _let_2))) (let ((_let_4 (@var "A3" tptp.set_Product_prod_a_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.46/0.88 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B3" tptp.set_a))) (let ((_let_2 (@var "X3" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@var "A3" tptp.set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.46/0.88 (define tptp.total_on_a () (let ((_let_1 (@var "R" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "X3" tptp.a))) (let ((_let_3 (@var "Y2" tptp.a))) (let ((_let_4 (@var "A3" 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))))))))))))) % 0.46/0.88 (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)))) % 0.46/0.88 (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)))) % 0.46/0.88 (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)))))) % 0.46/0.88 (define tptp.is_empty_a () (let ((_let_1 (@var "A3" tptp.set_a))) (lambda (@list _let_1) (= _let_1 tptp.bot_bot_set_a)))) % 0.46/0.88 (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 "R" 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)))))))))) % 0.46/0.88 (define @t1 () (@var "Y" tptp.a)) % 0.46/0.88 (define @t2 () (_ tptp.prefer1676310729than_a @t1)) % 0.46/0.88 (define @t3 () (_ (_ @t2 tptp.carrier) tptp.relation)) % 0.46/0.88 (define @t4 () (@var "X" tptp.a)) % 0.46/0.88 (define @t5 () (_ tptp.prefer1676310729than_a @t4)) % 0.46/0.88 (define @t6 () (_ (_ @t5 tptp.carrier) tptp.relation)) % 0.46/0.88 (define @t7 () (_ (_ tptp.ord_less_eq_set_a @t3) @t6)) % 0.46/0.88 (define @t8 () (_ tptp.product_Pair_a_a @t4)) % 0.46/0.88 (define @t9 () (_ tptp.member449909584od_a_a (_ @t8 @t1))) % 0.46/0.88 (define @t10 () (_ @t9 tptp.relation)) % 0.46/0.88 (define @t11 () (@list @t4 @t1)) % 0.46/0.88 (define @t12 () (_ tptp.member_a @t1)) % 0.46/0.88 (define @t13 () (_ @t12 tptp.carrier)) % 0.46/0.88 (define @t14 () (_ tptp.member_a @t4)) % 0.46/0.88 (define @t15 () (_ @t14 tptp.carrier)) % 0.46/0.88 (define @t16 () (not (= tptp.carrier tptp.bot_bot_set_a))) % 0.46/0.88 (define @t17 () (@var "X2" tptp.a)) % 0.46/0.88 (define @t18 () (@var "Xa" tptp.a)) % 0.46/0.88 (define @t19 () (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t18) @t17))) % 0.46/0.88 (define @t20 () (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t17) @t18))) % 0.46/0.88 (define @t21 () (_ tptp.member_a @t18)) % 0.46/0.88 (define @t22 () (@list @t18)) % 0.46/0.88 (define @t23 () (_ tptp.member_a @t17)) % 0.46/0.88 (define @t24 () (@list @t17)) % 0.46/0.88 (define @t25 () (_ tptp.product_Pair_a_a @t1)) % 0.46/0.88 (define @t26 () (_ tptp.member449909584od_a_a (_ @t25 @t4))) % 0.46/0.88 (define @t27 () (_ @t26 tptp.relation)) % 0.46/0.88 (define @t28 () (= @t4 @t1)) % 0.46/0.88 (define @t29 () (not @t28)) % 0.46/0.88 (define @t30 () (@var "Z" tptp.a)) % 0.46/0.88 (define @t31 () (_ tptp.member449909584od_a_a (_ @t25 @t30))) % 0.46/0.88 (define @t32 () (_ @t31 tptp.relation)) % 0.46/0.88 (define @t33 () (_ tptp.product_Pair_a_a @t30)) % 0.46/0.88 (define @t34 () (_ tptp.member449909584od_a_a (_ @t33 @t1))) % 0.46/0.88 (define @t35 () (_ @t34 tptp.relation)) % 0.46/0.88 (define @t36 () (_ tptp.member449909584od_a_a (_ @t33 @t4))) % 0.46/0.88 (define @t37 () (_ @t36 tptp.relation)) % 0.46/0.88 (define @t38 () (_ tptp.member449909584od_a_a (_ @t8 @t30))) % 0.46/0.88 (define @t39 () (_ @t38 tptp.relation)) % 0.46/0.88 (define @t40 () (and @t39 (not @t37))) % 0.46/0.88 (define @t41 () (not @t27)) % 0.46/0.88 (define @t42 () (and @t10 @t41)) % 0.46/0.88 (define @t43 () (_ tptp.member_a @t30)) % 0.46/0.88 (define @t44 () (and @t15 @t13 (_ @t43 tptp.carrier))) % 0.46/0.88 (define @t45 () (@list @t4 @t1 @t30)) % 0.46/0.88 (define @t46 () (and @t10 @t27)) % 0.46/0.88 (define @t47 () (@var "Relation" tptp.set_Pr1948701895od_a_a)) % 0.46/0.88 (define @t48 () (@var "Carrier" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t49 () (_ (_ tptp.prefer1338892073od_a_a @t48) @t47)) % 0.46/0.88 (define @t50 () (_ (_ tptp.prefer697821563od_a_a @t48) @t47)) % 0.46/0.88 (define @t51 () (@list @t48 @t47)) % 0.46/0.88 (define @t52 () (@var "Relation" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t53 () (@var "Carrier" tptp.set_a)) % 0.46/0.88 (define @t54 () (_ (_ tptp.prefer1292084992ence_a @t53) @t52)) % 0.46/0.88 (define @t55 () (_ (_ tptp.prefer719835986ence_a @t53) @t52)) % 0.46/0.88 (define @t56 () (@list @t53 @t52)) % 0.46/0.88 (define @t57 () (@var "Relation" tptp.set_Pr1295299783od_a_a)) % 0.46/0.88 (define @t58 () (@var "Carrier" tptp.set_Pr1948701895od_a_a)) % 0.46/0.88 (define @t59 () (_ (_ tptp.prefer1409946857od_a_a @t58) @t57)) % 0.46/0.88 (define @t60 () (@var "Y3" tptp.produc1572603623od_a_a)) % 0.46/0.88 (define @t61 () (_ tptp.member2057358096od_a_a @t60)) % 0.46/0.88 (define @t62 () (@var "X4" tptp.produc1572603623od_a_a)) % 0.46/0.88 (define @t63 () (_ (_ tptp.member1899387664od_a_a (_ (_ tptp.produc1935643479od_a_a @t62) @t60)) @t57)) % 0.46/0.88 (define @t64 () (@list @t62 @t60)) % 0.46/0.88 (define @t65 () (_ tptp.member2057358096od_a_a @t62)) % 0.46/0.88 (define @t66 () (@var "Relation" tptp.set_Pr2045688071_set_a)) % 0.46/0.88 (define @t67 () (@var "Carrier" tptp.set_set_a)) % 0.46/0.88 (define @t68 () (_ (_ tptp.prefer1710114912_set_a @t67) @t66)) % 0.46/0.88 (define @t69 () (@var "Y3" tptp.set_a)) % 0.46/0.88 (define @t70 () (_ tptp.member_set_a @t69)) % 0.46/0.88 (define @t71 () (@var "X4" tptp.set_a)) % 0.46/0.88 (define @t72 () (_ (_ tptp.member593450832_set_a (_ (_ tptp.produc1928581911_set_a @t71) @t69)) @t66)) % 0.46/0.88 (define @t73 () (@list @t71 @t69)) % 0.46/0.88 (define @t74 () (_ tptp.member_set_a @t71)) % 0.46/0.88 (define @t75 () (_ (_ tptp.order_359341630od_a_a @t48) @t47)) % 0.46/0.88 (define @t76 () (@var "Y3" tptp.product_prod_a_a)) % 0.46/0.88 (define @t77 () (_ tptp.member449909584od_a_a @t76)) % 0.46/0.88 (define @t78 () (@var "X4" tptp.product_prod_a_a)) % 0.46/0.88 (define @t79 () (_ tptp.produc1474507607od_a_a @t78)) % 0.46/0.88 (define @t80 () (_ tptp.member2057358096od_a_a (_ @t79 @t76))) % 0.46/0.88 (define @t81 () (_ @t80 @t47)) % 0.46/0.88 (define @t82 () (@list @t78 @t76)) % 0.46/0.88 (define @t83 () (_ tptp.member449909584od_a_a @t78)) % 0.46/0.88 (define @t84 () (_ (_ tptp.order_preorder_on_a @t53) @t52)) % 0.46/0.88 (define @t85 () (@var "Y3" tptp.a)) % 0.46/0.88 (define @t86 () (_ tptp.member_a @t85)) % 0.46/0.88 (define @t87 () (@var "X4" tptp.a)) % 0.46/0.88 (define @t88 () (_ tptp.product_Pair_a_a @t87)) % 0.46/0.88 (define @t89 () (_ @t88 @t85)) % 0.46/0.88 (define @t90 () (_ tptp.member449909584od_a_a @t89)) % 0.46/0.88 (define @t91 () (_ @t90 @t52)) % 0.46/0.88 (define @t92 () (@list @t87 @t85)) % 0.46/0.88 (define @t93 () (_ tptp.member_a @t87)) % 0.46/0.88 (define @t94 () (@var "X" tptp.produc1572603623od_a_a)) % 0.46/0.88 (define @t95 () (_ tptp.member2057358096od_a_a @t94)) % 0.46/0.88 (define @t96 () (_ @t95 @t58)) % 0.46/0.88 (define @t97 () (@var "Y" tptp.produc1572603623od_a_a)) % 0.46/0.88 (define @t98 () (_ tptp.produc1935643479od_a_a @t94)) % 0.46/0.88 (define @t99 () (_ tptp.member1899387664od_a_a (_ @t98 @t97))) % 0.46/0.88 (define @t100 () (_ @t99 @t57)) % 0.46/0.88 (define @t101 () (@list @t58 @t57 @t94 @t97)) % 0.46/0.88 (define @t102 () (@var "X" tptp.set_a)) % 0.46/0.88 (define @t103 () (_ tptp.member_set_a @t102)) % 0.46/0.88 (define @t104 () (_ @t103 @t67)) % 0.46/0.88 (define @t105 () (@var "Y" tptp.set_a)) % 0.46/0.88 (define @t106 () (_ tptp.produc1928581911_set_a @t102)) % 0.46/0.88 (define @t107 () (_ @t106 @t105)) % 0.46/0.88 (define @t108 () (_ tptp.member593450832_set_a @t107)) % 0.46/0.88 (define @t109 () (_ @t108 @t66)) % 0.46/0.88 (define @t110 () (@list @t67 @t66 @t102 @t105)) % 0.46/0.88 (define @t111 () (@var "X" tptp.product_prod_a_a)) % 0.46/0.88 (define @t112 () (_ tptp.member449909584od_a_a @t111)) % 0.46/0.88 (define @t113 () (_ @t112 @t48)) % 0.46/0.88 (define @t114 () (@var "Y" tptp.product_prod_a_a)) % 0.46/0.88 (define @t115 () (_ tptp.produc1474507607od_a_a @t111)) % 0.46/0.88 (define @t116 () (_ tptp.member2057358096od_a_a (_ @t115 @t114))) % 0.46/0.88 (define @t117 () (_ @t116 @t47)) % 0.46/0.88 (define @t118 () (@list @t48 @t47 @t111 @t114)) % 0.46/0.88 (define @t119 () (_ @t14 @t53)) % 0.46/0.88 (define @t120 () (_ @t9 @t52)) % 0.46/0.88 (define @t121 () (@list @t53 @t52 @t4 @t1)) % 0.46/0.88 (define @t122 () (@var "Z" tptp.set_a)) % 0.46/0.88 (define @t123 () (_ tptp.produc1928581911_set_a @t122)) % 0.46/0.88 (define @t124 () (_ (_ tptp.member593450832_set_a (_ @t123 @t102)) @t66)) % 0.46/0.88 (define @t125 () (_ (_ tptp.member593450832_set_a (_ @t106 @t122)) @t66)) % 0.46/0.88 (define @t126 () (_ tptp.member593450832_set_a (_ @t123 @t105))) % 0.46/0.88 (define @t127 () (_ @t126 @t66)) % 0.46/0.88 (define @t128 () (_ tptp.produc1928581911_set_a @t105)) % 0.46/0.88 (define @t129 () (_ (_ tptp.member593450832_set_a (_ @t128 @t122)) @t66)) % 0.46/0.88 (define @t130 () (_ (_ tptp.member593450832_set_a (_ @t128 @t102)) @t66)) % 0.46/0.88 (define @t131 () (and @t109 @t130)) % 0.46/0.88 (define @t132 () (@list @t67 @t66 @t102 @t105 @t122)) % 0.46/0.88 (define @t133 () (@var "Z" tptp.product_prod_a_a)) % 0.46/0.88 (define @t134 () (_ tptp.produc1474507607od_a_a @t133)) % 0.46/0.88 (define @t135 () (_ (_ tptp.member2057358096od_a_a (_ @t134 @t111)) @t47)) % 0.46/0.88 (define @t136 () (_ (_ tptp.member2057358096od_a_a (_ @t115 @t133)) @t47)) % 0.46/0.88 (define @t137 () (_ tptp.member2057358096od_a_a (_ @t134 @t114))) % 0.46/0.88 (define @t138 () (_ @t137 @t47)) % 0.46/0.88 (define @t139 () (_ tptp.produc1474507607od_a_a @t114)) % 0.46/0.88 (define @t140 () (_ (_ tptp.member2057358096od_a_a (_ @t139 @t133)) @t47)) % 0.46/0.88 (define @t141 () (_ (_ tptp.member2057358096od_a_a (_ @t139 @t111)) @t47)) % 0.46/0.88 (define @t142 () (and @t117 @t141)) % 0.46/0.88 (define @t143 () (@list @t48 @t47 @t111 @t114 @t133)) % 0.46/0.88 (define @t144 () (_ @t36 @t52)) % 0.46/0.88 (define @t145 () (_ @t38 @t52)) % 0.46/0.88 (define @t146 () (_ @t34 @t52)) % 0.46/0.88 (define @t147 () (_ @t31 @t52)) % 0.46/0.88 (define @t148 () (_ @t26 @t52)) % 0.46/0.88 (define @t149 () (and @t120 @t148)) % 0.46/0.88 (define @t150 () (@list @t53 @t52 @t4 @t1 @t30)) % 0.46/0.88 (define @t151 () (@var "X2" tptp.set_a)) % 0.46/0.88 (define @t152 () (@var "Xa" tptp.set_a)) % 0.46/0.88 (define @t153 () (_ tptp.member_set_a @t152)) % 0.46/0.88 (define @t154 () (@list @t152)) % 0.46/0.88 (define @t155 () (_ (_ tptp.prefer484977842_set_a @t67) @t66)) % 0.46/0.88 (define @t156 () (@var "X2" tptp.product_prod_a_a)) % 0.46/0.88 (define @t157 () (@var "Xa" tptp.product_prod_a_a)) % 0.46/0.88 (define @t158 () (_ (_ tptp.total_on_a @t53) @t52)) % 0.46/0.88 (define @t159 () (_ tptp.produc1935643479od_a_a @t97)) % 0.46/0.88 (define @t160 () (_ (_ tptp.member1899387664od_a_a (_ @t159 @t94)) @t57)) % 0.46/0.88 (define @t161 () (_ tptp.member2057358096od_a_a @t97)) % 0.46/0.88 (define @t162 () (_ @t161 @t58)) % 0.46/0.88 (define @t163 () (_ (_ tptp.prefer1828051771od_a_a @t58) @t57)) % 0.46/0.88 (define @t164 () (= @t102 @t105)) % 0.46/0.88 (define @t165 () (_ tptp.member_set_a @t105)) % 0.46/0.88 (define @t166 () (_ @t165 @t67)) % 0.46/0.88 (define @t167 () (= @t111 @t114)) % 0.46/0.88 (define @t168 () (_ tptp.member449909584od_a_a @t114)) % 0.46/0.88 (define @t169 () (_ @t168 @t48)) % 0.46/0.88 (define @t170 () (_ @t12 @t53)) % 0.46/0.88 (define @t171 () (and @t125 (not @t124))) % 0.46/0.88 (define @t172 () (not @t130)) % 0.46/0.88 (define @t173 () (and @t109 @t172)) % 0.46/0.88 (define @t174 () (and @t136 (not @t135))) % 0.46/0.88 (define @t175 () (not @t141)) % 0.46/0.88 (define @t176 () (and @t117 @t175)) % 0.46/0.88 (define @t177 () (and @t145 (not @t144))) % 0.46/0.88 (define @t178 () (not @t148)) % 0.46/0.88 (define @t179 () (and @t120 @t178)) % 0.46/0.88 (define @t180 () (@var "Z" tptp.produc1572603623od_a_a)) % 0.46/0.88 (define @t181 () (_ (_ tptp.member1899387664od_a_a (_ @t98 @t180)) @t57)) % 0.46/0.88 (define @t182 () (_ (_ tptp.member1899387664od_a_a (_ @t159 @t180)) @t57)) % 0.46/0.88 (define @t183 () (_ tptp.member2057358096od_a_a @t180)) % 0.46/0.88 (define @t184 () (and @t96 @t162 (_ @t183 @t58))) % 0.46/0.88 (define @t185 () (@list @t58 @t57 @t94 @t97 @t180)) % 0.46/0.88 (define @t186 () (_ tptp.member_set_a @t122)) % 0.46/0.88 (define @t187 () (and @t104 @t166 (_ @t186 @t67))) % 0.46/0.88 (define @t188 () (_ tptp.member449909584od_a_a @t133)) % 0.46/0.88 (define @t189 () (and @t113 @t169 (_ @t188 @t48))) % 0.46/0.88 (define @t190 () (and @t119 @t170 (_ @t43 @t53))) % 0.46/0.88 (define @t191 () (not @t160)) % 0.46/0.88 (define @t192 () (and @t100 @t191)) % 0.46/0.88 (define @t193 () (_ tptp.produc1935643479od_a_a @t180)) % 0.46/0.88 (define @t194 () (_ tptp.member1899387664od_a_a (_ @t193 @t97))) % 0.46/0.88 (define @t195 () (_ @t194 @t57)) % 0.46/0.88 (define @t196 () (_ (_ (_ tptp.prefer926864306od_a_a @t97) @t58) @t57)) % 0.46/0.88 (define @t197 () (_ (_ (_ tptp.prefer1671525929_set_a @t105) @t67) @t66)) % 0.46/0.88 (define @t198 () (_ (_ (_ tptp.prefer1498087410od_a_a @t114) @t48) @t47)) % 0.46/0.88 (define @t199 () (_ (_ @t2 @t53) @t52)) % 0.46/0.88 (define @t200 () (_ (_ (_ tptp.prefer926864306od_a_a @t94) @t58) @t57)) % 0.46/0.88 (define @t201 () (not (= @t58 tptp.bot_bo1116205875od_a_a))) % 0.46/0.88 (define @t202 () (_ (_ (_ tptp.prefer1671525929_set_a @t102) @t67) @t66)) % 0.46/0.88 (define @t203 () (not (= @t67 tptp.bot_bot_set_set_a))) % 0.46/0.88 (define @t204 () (_ (_ (_ tptp.prefer1498087410od_a_a @t111) @t48) @t47)) % 0.46/0.88 (define @t205 () (not (= @t48 tptp.bot_bo2131659635od_a_a))) % 0.46/0.88 (define @t206 () (_ (_ @t5 @t53) @t52)) % 0.46/0.88 (define @t207 () (not (= @t53 tptp.bot_bot_set_a))) % 0.46/0.88 (define @t208 () (_ (_ tptp.ord_le318720350_set_a @t197) @t202)) % 0.46/0.88 (define @t209 () (_ (_ tptp.ord_le1824328871od_a_a @t198) @t204)) % 0.46/0.88 (define @t210 () (_ (_ tptp.ord_less_eq_set_a @t199) @t206)) % 0.46/0.88 (define @t211 () (_ tptp.prefer161218362good_a @t1)) % 0.46/0.88 (define @t212 () (_ (_ @t211 tptp.carrier) tptp.relation)) % 0.46/0.88 (define @t213 () (_ @t14 @t212)) % 0.46/0.88 (define @t214 () (_ tptp.prefer161218362good_a @t30)) % 0.46/0.88 (define @t215 () (and @t35 @t32)) % 0.46/0.88 (define @t216 () (@list @t30 @t1)) % 0.46/0.88 (define @t217 () (@var "A" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t218 () (@list @t217)) % 0.46/0.88 (define @t219 () (@var "A" tptp.set_set_a)) % 0.46/0.88 (define @t220 () (@list @t219)) % 0.46/0.88 (define @t221 () (@var "A" tptp.set_a)) % 0.46/0.88 (define @t222 () (_ tptp.ord_less_eq_set_a tptp.bot_bot_set_a)) % 0.46/0.88 (define @t223 () (@list @t221)) % 0.46/0.88 (define @t224 () (= @t217 tptp.bot_bo2131659635od_a_a)) % 0.46/0.88 (define @t225 () (_ tptp.ord_le1824328871od_a_a @t217)) % 0.46/0.88 (define @t226 () (_ @t225 tptp.bot_bo2131659635od_a_a)) % 0.46/0.88 (define @t227 () (= @t219 tptp.bot_bot_set_set_a)) % 0.46/0.88 (define @t228 () (_ tptp.ord_le318720350_set_a @t219)) % 0.46/0.88 (define @t229 () (= @t221 tptp.bot_bot_set_a)) % 0.46/0.88 (define @t230 () (_ tptp.ord_less_eq_set_a @t221)) % 0.46/0.88 (define @t231 () (_ @t230 tptp.bot_bot_set_a)) % 0.46/0.88 (define @t232 () (@var "A2" tptp.produc1572603623od_a_a)) % 0.46/0.88 (define @t233 () (@var "P" (-> tptp.produc1572603623od_a_a Bool))) % 0.46/0.88 (define @t234 () (_ tptp.member2057358096od_a_a @t232)) % 0.46/0.88 (define @t235 () (@var "A2" tptp.set_a)) % 0.46/0.88 (define @t236 () (@var "P" (-> tptp.set_a Bool))) % 0.46/0.88 (define @t237 () (_ tptp.collect_set_a @t236)) % 0.46/0.88 (define @t238 () (_ tptp.member_set_a @t235)) % 0.46/0.88 (define @t239 () (@var "A2" tptp.a)) % 0.46/0.88 (define @t240 () (@var "P" (-> tptp.a Bool))) % 0.46/0.88 (define @t241 () (_ tptp.collect_a @t240)) % 0.46/0.88 (define @t242 () (_ tptp.member_a @t239)) % 0.46/0.88 (define @t243 () (@var "A2" tptp.product_prod_a_a)) % 0.46/0.88 (define @t244 () (@var "P" (-> tptp.product_prod_a_a Bool))) % 0.46/0.88 (define @t245 () (_ tptp.collec645855634od_a_a @t244)) % 0.46/0.88 (define @t246 () (_ tptp.member449909584od_a_a @t243)) % 0.46/0.88 (define @t247 () (@var "A" tptp.set_Pr1948701895od_a_a)) % 0.46/0.88 (define @t248 () (@var "X3" tptp.produc1572603623od_a_a)) % 0.46/0.88 (define @t249 () (_ tptp.member2057358096od_a_a @t248)) % 0.46/0.88 (define @t250 () (_ @t249 @t247)) % 0.46/0.88 (define @t251 () (@list @t248)) % 0.46/0.88 (define @t252 () (@list @t247)) % 0.46/0.88 (define @t253 () (@var "X3" tptp.set_a)) % 0.46/0.88 (define @t254 () (_ tptp.member_set_a @t253)) % 0.46/0.88 (define @t255 () (_ @t254 @t219)) % 0.46/0.88 (define @t256 () (@list @t253)) % 0.46/0.88 (define @t257 () (@var "X3" tptp.a)) % 0.46/0.88 (define @t258 () (_ tptp.member_a @t257)) % 0.46/0.88 (define @t259 () (_ @t258 @t221)) % 0.46/0.88 (define @t260 () (@list @t257)) % 0.46/0.88 (define @t261 () (@var "X3" tptp.product_prod_a_a)) % 0.46/0.88 (define @t262 () (_ tptp.member449909584od_a_a @t261)) % 0.46/0.88 (define @t263 () (_ @t262 @t217)) % 0.46/0.88 (define @t264 () (@list @t261)) % 0.46/0.88 (define @t265 () (@var "Q" (-> tptp.product_prod_a_a Bool))) % 0.46/0.88 (define @t266 () (_ tptp.collec645855634od_a_a @t265)) % 0.46/0.88 (define @t267 () (_ @t265 @t78)) % 0.46/0.88 (define @t268 () (_ @t244 @t78)) % 0.46/0.88 (define @t269 () (@list @t78)) % 0.46/0.88 (define @t270 () (@list @t244 @t265)) % 0.46/0.88 (define @t271 () (@var "Q" (-> tptp.a Bool))) % 0.46/0.88 (define @t272 () (_ tptp.collect_a @t271)) % 0.46/0.88 (define @t273 () (_ @t271 @t87)) % 0.46/0.88 (define @t274 () (_ @t240 @t87)) % 0.46/0.88 (define @t275 () (@list @t87)) % 0.46/0.88 (define @t276 () (@list @t240 @t271)) % 0.46/0.88 (define @t277 () (@var "D" tptp.set_a)) % 0.46/0.88 (define @t278 () (@var "B" tptp.set_a)) % 0.46/0.88 (define @t279 () (_ tptp.ord_less_eq_set_a @t278)) % 0.46/0.88 (define @t280 () (_ @t279 @t277)) % 0.46/0.88 (define @t281 () (@var "C" tptp.set_a)) % 0.46/0.88 (define @t282 () (_ tptp.ord_less_eq_set_a @t235)) % 0.46/0.88 (define @t283 () (_ @t282 @t281)) % 0.46/0.88 (define @t284 () (@var "D" tptp.set_set_a)) % 0.46/0.88 (define @t285 () (@var "B" tptp.set_set_a)) % 0.46/0.88 (define @t286 () (_ (_ tptp.ord_le318720350_set_a @t285) @t284)) % 0.46/0.88 (define @t287 () (@var "C" tptp.set_set_a)) % 0.46/0.88 (define @t288 () (@var "A2" tptp.set_set_a)) % 0.46/0.88 (define @t289 () (_ (_ tptp.ord_le318720350_set_a @t288) @t287)) % 0.46/0.88 (define @t290 () (@var "D" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t291 () (@var "B" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t292 () (_ (_ tptp.ord_le1824328871od_a_a @t291) @t290)) % 0.46/0.88 (define @t293 () (@var "C" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t294 () (@var "A2" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t295 () (_ (_ tptp.ord_le1824328871od_a_a @t294) @t293)) % 0.46/0.88 (define @t296 () (@var "D" tptp.produc1691597095_set_a)) % 0.46/0.88 (define @t297 () (@var "B" tptp.produc1691597095_set_a)) % 0.46/0.88 (define @t298 () (@var "C" tptp.produc1691597095_set_a)) % 0.46/0.88 (define @t299 () (@var "A2" tptp.produc1691597095_set_a)) % 0.46/0.88 (define @t300 () (_ tptp.prefer436369274d_as_a @t1)) % 0.46/0.88 (define @t301 () (_ (_ @t300 tptp.carrier) tptp.relation)) % 0.46/0.88 (define @t302 () (@var "Xa" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t303 () (@var "X4" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t304 () (= @t303 @t302)) % 0.46/0.88 (define @t305 () (@var "A" tptp.set_se1596668135od_a_a)) % 0.46/0.88 (define @t306 () (_ (_ tptp.member1838126896od_a_a @t302) @t305)) % 0.46/0.88 (define @t307 () (@list @t302)) % 0.46/0.88 (define @t308 () (_ (_ tptp.member1838126896od_a_a @t303) @t305)) % 0.46/0.88 (define @t309 () (@list @t303)) % 0.46/0.88 (define @t310 () (not (= @t305 tptp.bot_bo1424703315od_a_a))) % 0.46/0.88 (define @t311 () (_ tptp.finite1145471536od_a_a @t305)) % 0.46/0.88 (define @t312 () (@list @t305)) % 0.46/0.88 (define @t313 () (@var "Xa" tptp.produc1691597095_set_a)) % 0.46/0.88 (define @t314 () (@var "X4" tptp.produc1691597095_set_a)) % 0.46/0.88 (define @t315 () (= @t314 @t313)) % 0.46/0.88 (define @t316 () (@var "A" tptp.set_Pr2045688071_set_a)) % 0.46/0.88 (define @t317 () (_ (_ tptp.member593450832_set_a @t313) @t316)) % 0.46/0.88 (define @t318 () (@list @t313)) % 0.46/0.88 (define @t319 () (_ (_ tptp.member593450832_set_a @t314) @t316)) % 0.46/0.88 (define @t320 () (@list @t314)) % 0.46/0.88 (define @t321 () (not (= @t316 tptp.bot_bo671027059_set_a))) % 0.46/0.88 (define @t322 () (_ tptp.finite283787856_set_a @t316)) % 0.46/0.88 (define @t323 () (@list @t316)) % 0.46/0.88 (define @t324 () (@var "Xa" tptp.set_set_a)) % 0.46/0.88 (define @t325 () (@var "X4" tptp.set_set_a)) % 0.46/0.88 (define @t326 () (= @t325 @t324)) % 0.46/0.88 (define @t327 () (@var "A" tptp.set_set_set_a)) % 0.46/0.88 (define @t328 () (_ (_ tptp.member_set_set_a @t324) @t327)) % 0.46/0.88 (define @t329 () (@list @t324)) % 0.46/0.88 (define @t330 () (_ (_ tptp.member_set_set_a @t325) @t327)) % 0.46/0.88 (define @t331 () (@list @t325)) % 0.46/0.88 (define @t332 () (not (= @t327 tptp.bot_bo1264989578_set_a))) % 0.46/0.88 (define @t333 () (_ tptp.finite1606323175_set_a @t327)) % 0.46/0.88 (define @t334 () (@list @t327)) % 0.46/0.88 (define @t335 () (= @t71 @t152)) % 0.46/0.88 (define @t336 () (_ tptp.ord_less_eq_set_a @t71)) % 0.46/0.88 (define @t337 () (_ @t153 @t219)) % 0.46/0.88 (define @t338 () (forall @t154 (=> @t337 (=> (_ @t336 @t152) @t335)))) % 0.46/0.88 (define @t339 () (_ @t74 @t219)) % 0.46/0.88 (define @t340 () (@list @t71)) % 0.46/0.88 (define @t341 () (not @t227)) % 0.46/0.88 (define @t342 () (_ tptp.finite_finite_set_a @t219)) % 0.46/0.88 (define @t343 () (forall @t154 (=> @t337 (=> (_ (_ tptp.ord_less_eq_set_a @t152) @t71) @t335)))) % 0.46/0.88 (define @t344 () (_ @t244 @t261)) % 0.46/0.88 (define @t345 () (forall @t264 (not @t344))) % 0.46/0.88 (define @t346 () (@list @t244)) % 0.46/0.88 (define @t347 () (_ @t236 @t253)) % 0.46/0.88 (define @t348 () (forall @t256 (not @t347))) % 0.46/0.88 (define @t349 () (@list @t236)) % 0.46/0.88 (define @t350 () (_ @t240 @t257)) % 0.46/0.88 (define @t351 () (forall @t260 (not @t350))) % 0.46/0.88 (define @t352 () (@list @t240)) % 0.46/0.88 (define @t353 () (= @t241 tptp.bot_bot_set_a)) % 0.46/0.88 (define @t354 () (= @t247 tptp.bot_bo1116205875od_a_a)) % 0.46/0.88 (define @t355 () (@var "C" tptp.produc1572603623od_a_a)) % 0.46/0.88 (define @t356 () (_ tptp.member2057358096od_a_a @t355)) % 0.46/0.88 (define @t357 () (_ tptp.member_set_a @t281)) % 0.46/0.88 (define @t358 () (@var "C" tptp.product_prod_a_a)) % 0.46/0.88 (define @t359 () (_ tptp.member449909584od_a_a @t358)) % 0.46/0.88 (define @t360 () (@var "C" tptp.a)) % 0.46/0.88 (define @t361 () (_ tptp.member_a @t360)) % 0.46/0.88 (define @t362 () (@var "B2" tptp.set_Pr1948701895od_a_a)) % 0.46/0.88 (define @t363 () (_ (_ tptp.ord_le456379495od_a_a @t247) @t362)) % 0.46/0.88 (define @t364 () (@var "B2" tptp.set_set_a)) % 0.46/0.88 (define @t365 () (_ @t228 @t364)) % 0.46/0.88 (define @t366 () (@list @t219 @t364)) % 0.46/0.88 (define @t367 () (@var "B2" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t368 () (_ @t225 @t367)) % 0.46/0.88 (define @t369 () (_ @t83 @t217)) % 0.46/0.88 (define @t370 () (@list @t217 @t367)) % 0.46/0.88 (define @t371 () (@var "B2" tptp.set_a)) % 0.46/0.88 (define @t372 () (_ @t230 @t371)) % 0.46/0.88 (define @t373 () (_ @t93 @t221)) % 0.46/0.88 (define @t374 () (@list @t221 @t371)) % 0.46/0.88 (define @t375 () (= @t217 @t367)) % 0.46/0.88 (define @t376 () (_ tptp.ord_le1824328871od_a_a @t367)) % 0.46/0.88 (define @t377 () (_ @t376 @t217)) % 0.46/0.88 (define @t378 () (= @t219 @t364)) % 0.46/0.88 (define @t379 () (_ tptp.ord_le318720350_set_a @t364)) % 0.46/0.88 (define @t380 () (_ @t379 @t219)) % 0.46/0.88 (define @t381 () (= @t221 @t371)) % 0.46/0.88 (define @t382 () (_ tptp.ord_less_eq_set_a @t371)) % 0.46/0.88 (define @t383 () (_ @t382 @t221)) % 0.46/0.88 (define @t384 () (@var "Pr" tptp.set_Pr1295299783od_a_a)) % 0.46/0.88 (define @t385 () (_ tptp.prefer55414563od_a_a @t97)) % 0.46/0.88 (define @t386 () (_ (_ @t385 @t362) @t384)) % 0.46/0.88 (define @t387 () (@var "Pr" tptp.set_Pr2045688071_set_a)) % 0.46/0.88 (define @t388 () (_ tptp.prefer1203288218_set_a @t105)) % 0.46/0.88 (define @t389 () (_ (_ @t388 @t364) @t387)) % 0.46/0.88 (define @t390 () (@var "Pr" tptp.set_Pr1948701895od_a_a)) % 0.46/0.88 (define @t391 () (_ tptp.prefer477097315od_a_a @t114)) % 0.46/0.88 (define @t392 () (_ (_ @t391 @t367) @t390)) % 0.46/0.88 (define @t393 () (@var "Pr" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t394 () (_ (_ @t211 @t371) @t393)) % 0.46/0.88 (define @t395 () (@list @t69)) % 0.46/0.88 (define @t396 () (_ @t77 @t217)) % 0.46/0.88 (define @t397 () (_ @t86 @t221)) % 0.46/0.88 (define @t398 () (_ @t238 @t219)) % 0.46/0.88 (define @t399 () (@list @t219 @t235)) % 0.46/0.88 (define @t400 () (_ @t246 @t217)) % 0.46/0.88 (define @t401 () (_ @t242 @t221)) % 0.46/0.88 (define @t402 () (@list @t235)) % 0.46/0.88 (define @t403 () (_ @t112 @t217)) % 0.46/0.88 (define @t404 () (_ @t14 @t221)) % 0.46/0.88 (define @t405 () (@var "B3" tptp.set_Pr1948701895od_a_a)) % 0.46/0.88 (define @t406 () (@var "T" tptp.produc1572603623od_a_a)) % 0.46/0.88 (define @t407 () (_ tptp.member2057358096od_a_a @t406)) % 0.46/0.88 (define @t408 () (@var "A3" tptp.set_Pr1948701895od_a_a)) % 0.46/0.88 (define @t409 () (@list @t408 @t405)) % 0.46/0.88 (define @t410 () (@var "B3" tptp.set_set_a)) % 0.46/0.88 (define @t411 () (@var "T" tptp.set_a)) % 0.46/0.88 (define @t412 () (_ tptp.member_set_a @t411)) % 0.46/0.88 (define @t413 () (@var "A3" tptp.set_set_a)) % 0.46/0.88 (define @t414 () (@list @t413 @t410)) % 0.46/0.88 (define @t415 () (@var "B3" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t416 () (@var "T" tptp.product_prod_a_a)) % 0.46/0.88 (define @t417 () (_ tptp.member449909584od_a_a @t416)) % 0.46/0.88 (define @t418 () (@var "A3" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t419 () (@list @t418 @t415)) % 0.46/0.88 (define @t420 () (@var "B3" tptp.set_a)) % 0.46/0.88 (define @t421 () (@var "T" tptp.a)) % 0.46/0.88 (define @t422 () (_ tptp.member_a @t421)) % 0.46/0.88 (define @t423 () (@var "A3" tptp.set_a)) % 0.46/0.88 (define @t424 () (@list @t423 @t420)) % 0.46/0.88 (define @t425 () (_ (_ tptp.ord_le1824328871od_a_a @t245) @t266)) % 0.46/0.88 (define @t426 () (=> @t268 @t267)) % 0.46/0.88 (define @t427 () (@var "Q" (-> tptp.set_a Bool))) % 0.46/0.88 (define @t428 () (_ (_ tptp.ord_le318720350_set_a @t237) (_ tptp.collect_set_a @t427))) % 0.46/0.88 (define @t429 () (_ @t427 @t71)) % 0.46/0.88 (define @t430 () (_ @t236 @t71)) % 0.46/0.88 (define @t431 () (@list @t236 @t427)) % 0.46/0.88 (define @t432 () (_ (_ tptp.ord_less_eq_set_a @t241) @t272)) % 0.46/0.88 (define @t433 () (=> @t274 @t273)) % 0.46/0.88 (define @t434 () (@var "C2" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t435 () (@var "C2" tptp.set_set_a)) % 0.46/0.88 (define @t436 () (@var "C2" tptp.set_a)) % 0.46/0.88 (define @t437 () (_ @t230 @t436)) % 0.46/0.88 (define @t438 () (_ @t382 @t436)) % 0.46/0.88 (define @t439 () (@list @t221 @t371 @t436)) % 0.46/0.88 (define @t440 () (@var "Z2" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t441 () (@var "Y4" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t442 () (@var "Z2" tptp.set_set_a)) % 0.46/0.88 (define @t443 () (@var "Y4" tptp.set_set_a)) % 0.46/0.88 (define @t444 () (@var "Z2" tptp.set_a)) % 0.46/0.88 (define @t445 () (@var "Y4" tptp.set_a)) % 0.46/0.88 (define @t446 () (lambda (@list @t445 @t444) (= @t445 @t444))) % 0.46/0.88 (define @t447 () (_ (_ @t388 @t67) @t66)) % 0.46/0.88 (define @t448 () (and @t127 @t129)) % 0.46/0.88 (define @t449 () (@list @t67 @t66 @t122 @t105)) % 0.46/0.88 (define @t450 () (_ (_ @t391 @t48) @t47)) % 0.46/0.88 (define @t451 () (and @t138 @t140)) % 0.46/0.88 (define @t452 () (@list @t48 @t47 @t133 @t114)) % 0.46/0.88 (define @t453 () (_ (_ @t211 @t53) @t52)) % 0.46/0.88 (define @t454 () (and @t146 @t147)) % 0.46/0.88 (define @t455 () (@list @t53 @t52 @t30 @t1)) % 0.46/0.88 (define @t456 () (_ @t95 (_ (_ @t385 @t58) @t57))) % 0.46/0.88 (define @t457 () (_ @t103 @t447)) % 0.46/0.88 (define @t458 () (_ @t112 @t450)) % 0.46/0.88 (define @t459 () (_ @t14 @t453)) % 0.46/0.88 (define @t460 () (_ (_ (_ tptp.prefer1867335523od_a_a @t97) @t58) @t57)) % 0.46/0.88 (define @t461 () (_ (_ (_ tptp.prefer270414042_set_a @t105) @t67) @t66)) % 0.46/0.88 (define @t462 () (_ (_ (_ tptp.prefer74720675od_a_a @t114) @t48) @t47)) % 0.46/0.88 (define @t463 () (_ (_ @t300 @t53) @t52)) % 0.46/0.88 (define @t464 () (@var "Y5" tptp.set_set_a)) % 0.46/0.88 (define @t465 () (@var "X5" tptp.produc1691597095_set_a)) % 0.46/0.88 (define @t466 () (@var "Y" tptp.set_set_a)) % 0.46/0.88 (define @t467 () (@var "X" tptp.produc1691597095_set_a)) % 0.46/0.88 (define @t468 () (_ (_ tptp.ord_le318720350_set_a @t466) @t464)) % 0.46/0.88 (define @t469 () (@var "Y5" tptp.set_a)) % 0.46/0.88 (define @t470 () (@var "X5" tptp.set_set_a)) % 0.46/0.88 (define @t471 () (@var "X" tptp.set_set_a)) % 0.46/0.88 (define @t472 () (_ tptp.ord_less_eq_set_a @t105)) % 0.46/0.88 (define @t473 () (_ @t472 @t469)) % 0.46/0.88 (define @t474 () (_ (_ tptp.ord_le318720350_set_a @t471) @t470)) % 0.46/0.88 (define @t475 () (@var "Y5" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t476 () (@var "Y" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t477 () (@var "Y5" tptp.produc1691597095_set_a)) % 0.46/0.88 (define @t478 () (@var "Y" tptp.produc1691597095_set_a)) % 0.46/0.88 (define @t479 () (@var "X5" tptp.set_a)) % 0.46/0.88 (define @t480 () (_ tptp.ord_less_eq_set_a @t102)) % 0.46/0.88 (define @t481 () (@var "S" tptp.set_a)) % 0.46/0.88 (define @t482 () (not (_ tptp.finite_finite_a @t481))) % 0.46/0.88 (define @t483 () (_ tptp.finite_finite_a @t221)) % 0.46/0.88 (define @t484 () (_ tptp.finite_finite_a @t371)) % 0.46/0.88 (define @t485 () (@var "T2" tptp.set_a)) % 0.46/0.88 (define @t486 () (not (_ tptp.finite_finite_a @t485))) % 0.46/0.88 (define @t487 () (@list @t481 @t485)) % 0.46/0.88 (define @t488 () (@list @t371 @t221)) % 0.46/0.88 (define @t489 () (@var "B4" tptp.a)) % 0.46/0.88 (define @t490 () (@var "B" tptp.a)) % 0.46/0.88 (define @t491 () (= @t490 @t489)) % 0.46/0.88 (define @t492 () (@var "A4" tptp.a)) % 0.46/0.88 (define @t493 () (= @t239 @t492)) % 0.46/0.88 (define @t494 () (_ tptp.product_Pair_a_a @t239)) % 0.46/0.88 (define @t495 () (_ @t494 @t490)) % 0.46/0.88 (define @t496 () (= @t495 (_ (_ tptp.product_Pair_a_a @t492) @t489))) % 0.46/0.88 (define @t497 () (@list @t239 @t490 @t492 @t489)) % 0.46/0.88 (define @t498 () (@var "Y22" tptp.a)) % 0.46/0.88 (define @t499 () (@var "X22" tptp.a)) % 0.46/0.88 (define @t500 () (@var "Y1" tptp.a)) % 0.46/0.88 (define @t501 () (@var "X1" tptp.a)) % 0.46/0.88 (define @t502 () (@var "R2" tptp.set_Pr1948701895od_a_a)) % 0.46/0.88 (define @t503 () (@var "R2" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t504 () (_ tptp.product_Pair_a_a @t85)) % 0.46/0.88 (define @t505 () (_ @t90 @t503)) % 0.46/0.88 (define @t506 () (@list @t503)) % 0.46/0.88 (define @t507 () (= @t235 @t278)) % 0.46/0.88 (define @t508 () (_ @t282 @t278)) % 0.46/0.88 (define @t509 () (_ @t279 @t235)) % 0.46/0.88 (define @t510 () (@var "B5" tptp.set_a)) % 0.46/0.88 (define @t511 () (@var "A5" tptp.set_a)) % 0.46/0.88 (define @t512 () (_ (_ tptp.ord_less_eq_set_a @t511) @t510)) % 0.46/0.88 (define @t513 () (_ (_ tptp.ord_less_eq_set_a @t510) @t511)) % 0.46/0.88 (define @t514 () (@list @t511 @t510)) % 0.46/0.88 (define @t515 () (_ tptp.ord_less_eq_set_a @t281)) % 0.46/0.88 (define @t516 () (_ @t480 @t105)) % 0.46/0.88 (define @t517 () (@list @t235 @t278 @t281)) % 0.46/0.88 (define @t518 () (_ @t279 @t281)) % 0.46/0.88 (define @t519 () (=> @t518 @t283)) % 0.46/0.88 (define @t520 () (_ @t472 @t102)) % 0.46/0.88 (define @t521 () (@list @t102 @t105)) % 0.46/0.88 (define @t522 () (@var "Y2" tptp.set_a)) % 0.46/0.88 (define @t523 () (_ tptp.ord_less_eq_set_a @t253)) % 0.46/0.88 (define @t524 () (@list @t253 @t522)) % 0.46/0.88 (define @t525 () (@var "F" (-> tptp.set_a tptp.set_a))) % 0.46/0.88 (define @t526 () (forall @t73 (=> (_ @t336 @t69) (_ (_ tptp.ord_less_eq_set_a (_ @t525 @t71)) (_ @t525 @t69))))) % 0.46/0.88 (define @t527 () (=> @t526 (_ (_ tptp.ord_less_eq_set_a (_ @t525 @t235)) @t281))) % 0.46/0.88 (define @t528 () (_ @t525 @t278)) % 0.46/0.88 (define @t529 () (@list @t235 @t278 @t525 @t281)) % 0.46/0.88 (define @t530 () (=> @t518 (=> @t526 (_ @t282 (_ @t525 @t281))))) % 0.46/0.88 (define @t531 () (@list @t235 @t525 @t278 @t281)) % 0.46/0.88 (define @t532 () (@var "P2" tptp.product_prod_a_a)) % 0.46/0.88 (define @t533 () (@var "B6" tptp.a)) % 0.46/0.88 (define @t534 () (@var "A6" tptp.a)) % 0.46/0.88 (define @t535 () (_ (_ tptp.product_Pair_a_a @t534) @t533)) % 0.46/0.88 (define @t536 () (@list @t534 @t533)) % 0.46/0.88 (define @t537 () (forall @t536 (_ @t244 @t535))) % 0.46/0.88 (define @t538 () (@var "Prod" tptp.product_prod_a_a)) % 0.46/0.88 (define @t539 () (@var "S2" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t540 () (@list @t503 @t539)) % 0.46/0.88 (define @t541 () (= @t235 tptp.bot_bot_set_a)) % 0.46/0.88 (define @t542 () (_ @t282 tptp.bot_bot_set_a)) % 0.46/0.88 (define @t543 () (_ tptp.produc1474507607od_a_a @t243)) % 0.46/0.88 (define @t544 () (_ tptp.member2057358096od_a_a (_ @t543 @t243))) % 0.46/0.88 (define @t545 () (_ (_ tptp.refl_o1298442278od_a_a @t217) @t502)) % 0.46/0.88 (define @t546 () (_ tptp.member449909584od_a_a (_ @t494 @t239))) % 0.46/0.88 (define @t547 () (_ tptp.refl_on_a @t221)) % 0.46/0.88 (define @t548 () (_ @t547 @t503)) % 0.46/0.88 (define @t549 () (_ @t116 @t502)) % 0.46/0.88 (define @t550 () (@list @t217 @t502 @t111 @t114)) % 0.46/0.88 (define @t551 () (_ @t9 @t503)) % 0.46/0.88 (define @t552 () (@list @t221 @t503 @t4 @t1)) % 0.46/0.88 (define @t553 () (@var "B" tptp.product_prod_a_a)) % 0.46/0.88 (define @t554 () (_ tptp.member2057358096od_a_a (_ @t543 @t553))) % 0.46/0.88 (define @t555 () (_ tptp.member449909584od_a_a @t495)) % 0.46/0.88 (define @t556 () (_ @t555 @t503)) % 0.46/0.88 (define @t557 () (_ (_ tptp.prefer580340847ioms_a @t53) @t52)) % 0.46/0.88 (define @t558 () (@var "Y6" tptp.product_prod_a_a)) % 0.46/0.88 (define @t559 () (@var "R3" (-> tptp.product_prod_a_a tptp.product_prod_a_a Bool))) % 0.46/0.88 (define @t560 () (_ @t559 @t78)) % 0.46/0.88 (define @t561 () (@var "Z3" tptp.product_prod_a_a)) % 0.46/0.88 (define @t562 () (@var "Y6" tptp.a)) % 0.46/0.88 (define @t563 () (@var "R3" (-> tptp.a tptp.a Bool))) % 0.46/0.88 (define @t564 () (_ @t563 @t87)) % 0.46/0.88 (define @t565 () (@var "Z3" tptp.a)) % 0.46/0.88 (define @t566 () (@list @t87 @t85 @t565)) % 0.46/0.88 (define @t567 () (@var "R3" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t568 () (@var "S3" tptp.a)) % 0.46/0.88 (define @t569 () (@var "R2" tptp.a)) % 0.46/0.88 (define @t570 () (_ tptp.product_Pair_a_a @t569)) % 0.46/0.88 (define @t571 () (@var "S2" tptp.a)) % 0.46/0.88 (define @t572 () (_ tptp.trans_a @t503)) % 0.46/0.88 (define @t573 () (_ tptp.order_under_a @t503)) % 0.46/0.88 (define @t574 () (_ tptp.id_on_1182990020od_a_a @t217)) % 0.46/0.88 (define @t575 () (_ tptp.id_on_a @t221)) % 0.46/0.88 (define @t576 () (_ tptp.order_Greatest_set_a @t236)) % 0.46/0.88 (define @t577 () (forall @t395 (=> (_ @t236 @t69) (_ (_ tptp.ord_less_eq_set_a @t69) @t102)))) % 0.46/0.88 (define @t578 () (_ @t236 @t102)) % 0.46/0.88 (define @t579 () (@var "Y6" tptp.set_a)) % 0.46/0.88 (define @t580 () (_ tptp.lattic1600076923_set_a @t219)) % 0.46/0.88 (define @t581 () (_ tptp.finite_finite_set_a @t364)) % 0.46/0.88 (define @t582 () (_ tptp.lattic501550101_set_a @t219)) % 0.46/0.88 (define @t583 () (_ tptp.ord_less_eq_set_a @t582)) % 0.46/0.88 (define @t584 () (_ tptp.ord_less_eq_set_a @t580)) % 0.46/0.88 (define @t585 () (@var "A7" tptp.set_a)) % 0.46/0.88 (define @t586 () (_ (_ tptp.member_set_a @t585) @t219)) % 0.46/0.88 (define @t587 () (@list @t585)) % 0.46/0.88 (define @t588 () (_ @t480 @t580)) % 0.46/0.88 (define @t589 () (@list @t219 @t102)) % 0.46/0.88 (define @t590 () (@var "A6" tptp.set_a)) % 0.46/0.88 (define @t591 () (_ (_ tptp.member_set_a @t590) @t219)) % 0.46/0.88 (define @t592 () (@list @t590)) % 0.46/0.88 (define @t593 () (_ @t583 @t102)) % 0.46/0.88 (define @t594 () (_ (_ tptp.sup_sup_set_a @t221) @t371)) % 0.46/0.88 (define @t595 () (_ tptp.ord_less_eq_set_a @t436)) % 0.46/0.88 (define @t596 () (_ @t595 @t371)) % 0.46/0.88 (define @t597 () (_ @t595 @t221)) % 0.46/0.88 (define @t598 () (_ tptp.inf_inf_set_a @t221)) % 0.46/0.88 (define @t599 () (_ @t598 @t371)) % 0.46/0.88 (define @t600 () (_ @t595 @t599)) % 0.46/0.88 (define @t601 () (@list @t436 @t221 @t371)) % 0.46/0.88 (define @t602 () (@var "G" tptp.set_a)) % 0.46/0.88 (define @t603 () (@var "F2" tptp.set_a)) % 0.46/0.88 (define @t604 () (_ tptp.finite_finite_a @t602)) % 0.46/0.88 (define @t605 () (_ tptp.finite_finite_a @t603)) % 0.46/0.88 (define @t606 () (@list @t603 @t602)) % 0.46/0.88 (define @t607 () (_ tptp.finite_finite_a (_ (_ tptp.sup_sup_set_a @t603) @t602))) % 0.46/0.88 (define @t608 () (_ (_ tptp.inf_in920712437od_a_a @t503) @t539)) % 0.46/0.88 (define @t609 () (_ (_ tptp.refl_on_a @t371) @t539)) % 0.46/0.88 (define @t610 () (@list @t221 @t503 @t371 @t539)) % 0.46/0.88 (define @t611 () (not (_ tptp.finite_finite_a (_ (_ tptp.sup_sup_set_a @t481) @t485)))) % 0.46/0.88 (define @t612 () (@var "D2" tptp.set_a)) % 0.46/0.88 (define @t613 () (_ tptp.ord_less_eq_set_a @t599)) % 0.46/0.88 (define @t614 () (_ (_ (_ tptp.prefer1676310729than_a tptp.x) tptp.carrier) tptp.relation)) % 0.46/0.88 (define @t615 () (_ (_ tptp.ord_less_eq_set_a @t614) @t614)) % 0.46/0.88 (define @t616 () (or @t615 @t615)) % 0.46/0.88 (define @t617 () (not @t616)) % 0.46/0.88 (define @t618 () (@var "Relation2" tptp.set_Pr1295299783od_a_a)) % 0.46/0.88 (define @t619 () (@var "Carrier2" tptp.set_Pr1948701895od_a_a)) % 0.46/0.88 (define @t620 () (@var "Y2" tptp.produc1572603623od_a_a)) % 0.46/0.88 (define @t621 () (_ (_ tptp.member1899387664od_a_a (_ (_ tptp.produc1935643479od_a_a @t248) @t620)) @t618)) % 0.46/0.88 (define @t622 () (@list @t248 @t620)) % 0.46/0.88 (define @t623 () (lambda (@list @t619 @t618) (and (forall @t622 (=> @t621 (_ @t249 @t619))) (forall @t622 (=> @t621 (_ (_ tptp.member2057358096od_a_a @t620) @t619))) (_ (_ tptp.order_491428350od_a_a @t619) @t618)))) % 0.46/0.88 (define @t624 () (@var "Relation2" tptp.set_Pr2045688071_set_a)) % 0.46/0.88 (define @t625 () (@var "Carrier2" tptp.set_set_a)) % 0.46/0.88 (define @t626 () (_ (_ tptp.member593450832_set_a (_ (_ tptp.produc1928581911_set_a @t253) @t522)) @t624)) % 0.46/0.88 (define @t627 () (lambda (@list @t625 @t624) (and (forall @t524 (=> @t626 (_ @t254 @t625))) (forall @t524 (=> @t626 (_ (_ tptp.member_set_a @t522) @t625))) (_ (_ tptp.order_816746613_set_a @t625) @t624)))) % 0.46/0.88 (define @t628 () (@var "Relation2" tptp.set_Pr1948701895od_a_a)) % 0.46/0.88 (define @t629 () (@var "Carrier2" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t630 () (@var "Y2" tptp.product_prod_a_a)) % 0.46/0.88 (define @t631 () (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t261) @t630)) @t628)) % 0.46/0.88 (define @t632 () (@list @t261 @t630)) % 0.46/0.88 (define @t633 () (lambda (@list @t629 @t628) (and (forall @t632 (=> @t631 (_ @t262 @t629))) (forall @t632 (=> @t631 (_ (_ tptp.member449909584od_a_a @t630) @t629))) (_ (_ tptp.order_359341630od_a_a @t629) @t628)))) % 0.46/0.88 (define @t634 () (@var "Relation2" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t635 () (@var "Carrier2" tptp.set_a)) % 0.46/0.88 (define @t636 () (@var "Y2" tptp.a)) % 0.46/0.88 (define @t637 () (_ tptp.member_a @t636)) % 0.46/0.88 (define @t638 () (_ tptp.product_Pair_a_a @t257)) % 0.46/0.88 (define @t639 () (_ tptp.member449909584od_a_a (_ @t638 @t636))) % 0.46/0.88 (define @t640 () (_ @t639 @t634)) % 0.46/0.88 (define @t641 () (@list @t257 @t636)) % 0.46/0.88 (define @t642 () (@list @t635 @t634)) % 0.46/0.88 (define @t643 () (lambda @t642 (and (forall @t641 (=> @t640 (_ @t258 @t635))) (forall @t641 (=> @t640 (_ @t637 @t635))) (_ (_ tptp.order_preorder_on_a @t635) @t634)))) % 0.46/0.88 (define @t644 () (lambda @t409 (forall @t251 (=> (_ @t249 @t408) (_ @t249 @t405))))) % 0.46/0.88 (define @t645 () (lambda @t414 (forall @t256 (=> (_ @t254 @t413) (_ @t254 @t410))))) % 0.46/0.88 (define @t646 () (lambda @t419 (forall @t264 (=> (_ @t262 @t418) (_ @t262 @t415))))) % 0.46/0.88 (define @t647 () (_ @t258 @t420)) % 0.46/0.88 (define @t648 () (_ @t258 @t423)) % 0.46/0.88 (define @t649 () (forall @t260 (=> @t648 @t647))) % 0.46/0.88 (define @t650 () (lambda @t424 @t649)) % 0.46/0.88 (define @t651 () (@var "R" tptp.set_Product_prod_a_a)) % 0.46/0.88 (define @t652 () (_ tptp.product_Pair_a_a @t636)) % 0.46/0.88 (define @t653 () (_ @t639 @t651)) % 0.46/0.88 (define @t654 () (@list @t423 @t651)) % 0.46/0.88 (define @t655 () (lambda @t654 (forall @t260 (=> @t648 (forall (@list @t636) (=> (_ @t637 @t423) (=> (not (= @t257 @t636)) (or @t653 (_ (_ tptp.member449909584od_a_a (_ @t652 @t257)) @t651))))))))) % 0.46/0.88 (define @t656 () (lambda @t264 (_ @t262 tptp.bot_bo2131659635od_a_a))) % 0.46/0.88 (define @t657 () (lambda @t260 (_ @t258 tptp.bot_bot_set_a))) % 0.46/0.88 (define @t658 () (lambda @t642 (and (_ (_ tptp.prefer1292084992ence_a @t635) @t634) (_ (_ tptp.prefer580340847ioms_a @t635) @t634)))) % 0.46/0.88 (define @t659 () (lambda (@list @t423) (= @t423 tptp.bot_bot_set_a))) % 0.46/0.88 (define @t660 () (@var "Z4" tptp.a)) % 0.46/0.88 (define @t661 () (lambda (@list @t651) (forall (@list @t257 @t636 @t660) (=> @t653 (=> (_ (_ tptp.member449909584od_a_a (_ @t652 @t660)) @t651) (_ (_ tptp.member449909584od_a_a (_ @t638 @t660)) @t651)))))) % 0.46/0.88 (define @t662 () (lambda @t654 (and (_ (_ tptp.refl_on_a @t423) @t651) (_ tptp.trans_a @t651)))) % 0.46/0.88 (define @t663 () (@var "J" tptp.a)) % 0.46/0.88 (define @t664 () (@var "As" (-> tptp.a tptp.set_a))) % 0.46/0.88 (define @t665 () (@var "I" tptp.a)) % 0.46/0.88 (define @t666 () (lambda (@list @t651 @t664) (forall (@list @t665 @t663) (=> (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t665) @t663)) @t651) (_ (_ tptp.ord_less_eq_set_a (_ @t664 @t665)) (_ @t664 @t663)))))) % 0.46/0.88 (define @t667 () (tptp.prefer1676310729than_a tptp.x tptp.carrier tptp.relation)) % 0.46/0.88 (define @t668 () (tptp.member_a @t257 @t667)) % 0.46/0.88 (define @t669 () (not @t668)) % 0.46/0.88 (define @t670 () (tptp.member_a @t257 @t614)) % 0.46/0.88 (define @t671 () (or @t669 @t670)) % 0.46/0.88 (define @t672 () (forall @t260 @t671)) % 0.46/0.88 (define @t673 () (tptp.member_a @t257 @t420)) % 0.46/0.88 (define @t674 () (@list @t420)) % 0.46/0.88 (define @t675 () (not @t670)) % 0.46/0.88 (define @t676 () (or @t675 @t673)) % 0.46/0.88 (define @t677 () (forall @t260 @t676)) % 0.46/0.88 (define @t678 () (lambda @t674 @t677)) % 0.46/0.88 (define @t679 () (tptp.member_a @t257 @t423)) % 0.46/0.88 (define @t680 () (_ (lambda @t424 (forall @t260 (or (not @t679) @t673))) @t614)) % 0.46/0.88 (define @t681 () (_ @t680 @t614)) % 0.46/0.88 (define @t682 () (or @t681 @t681)) % 0.46/0.88 (define @t683 () (not @t648)) % 0.46/0.88 (define @t684 () (or @t683 @t647)) % 0.46/0.88 (assume @p1 (_ (_ tptp.member_a tptp.y) tptp.carrier)) % 0.46/0.88 (assume @p2 (_ (_ tptp.member_a tptp.x) tptp.carrier)) % 0.46/0.88 (assume @p3 (_ (_ tptp.prefer719835986ence_a tptp.carrier) tptp.relation)) % 0.46/0.88 (assume @p4 (forall (@list @t1 @t4) (or @t7 (_ (_ tptp.ord_less_eq_set_a @t6) @t3)))) % 0.46/0.88 (assume @p5 (_ tptp.finite_finite_a tptp.carrier)) % 0.46/0.88 (assume @p6 (_ (_ tptp.prefer1292084992ence_a tptp.carrier) tptp.relation)) % 0.46/0.88 (assume @p7 (_ (_ tptp.order_preorder_on_a tptp.carrier) tptp.relation)) % 0.46/0.88 (assume @p8 (forall @t11 (=> @t10 @t7))) % 0.46/0.88 (assume @p9 (forall @t11 (=> @t15 (=> @t13 (=> @t7 @t10))))) % 0.46/0.88 (assume @p10 (forall (@list @t4) (=> @t16 (=> @t15 (not (= @t6 tptp.bot_bot_set_a)))))) % 0.46/0.88 (assume @p11 (_ (_ tptp.total_on_a tptp.carrier) tptp.relation)) % 0.46/0.88 (assume @p12 (forall @t11 (=> @t10 (_ @t12 @t3)))) % 0.46/0.88 (assume @p13 (_ (_ tptp.refl_on_a tptp.carrier) tptp.relation)) % 0.46/0.88 (assume @p14 (forall @t24 (=> (_ @t23 tptp.carrier) (forall @t22 (=> (_ @t21 tptp.carrier) (or (_ @t20 tptp.relation) (_ @t19 tptp.relation))))))) % 0.46/0.88 (assume @p15 (forall @t11 (=> @t15 (=> @t13 (=> @t29 (or @t10 @t27)))))) % 0.46/0.88 (assume @p16 (forall @t11 (=> @t10 @t15))) % 0.46/0.88 (assume @p17 (forall @t45 (=> @t44 (=> @t42 (or @t40 (and @t35 (not @t32))))))) % 0.46/0.88 (assume @p18 (forall @t45 (=> @t44 (=> @t10 (=> @t32 @t39))))) % 0.46/0.88 (assume @p19 (forall @t45 (=> @t42 (=> (and @t32 (not @t35)) @t40)))) % 0.46/0.88 (assume @p20 (forall @t45 (=> @t46 (=> (and @t32 @t35) (and @t39 @t37))))) % 0.46/0.88 (assume @p21 (forall @t11 (=> (and @t15 @t13) (= @t41 @t42)))) % 0.46/0.88 (assume @p22 (forall @t51 (=> @t50 @t49))) % 0.46/0.88 (assume @p23 (forall @t56 (=> @t55 @t54))) % 0.46/0.88 (assume @p24 (forall (@list @t57 @t58) (=> (forall @t64 (=> @t63 (_ @t65 @t58))) (=> (forall @t64 (=> @t63 (_ @t61 @t58))) (=> (_ (_ tptp.order_491428350od_a_a @t58) @t57) @t59))))) % 0.46/0.88 (assume @p25 (forall (@list @t66 @t67) (=> (forall @t73 (=> @t72 (_ @t74 @t67))) (=> (forall @t73 (=> @t72 (_ @t70 @t67))) (=> (_ (_ tptp.order_816746613_set_a @t67) @t66) @t68))))) % 0.46/0.88 (assume @p26 (forall (@list @t47 @t48) (=> (forall @t82 (=> @t81 (_ @t83 @t48))) (=> (forall @t82 (=> @t81 (_ @t77 @t48))) (=> @t75 @t49))))) % 0.46/0.88 (assume @p27 (forall (@list @t52 @t53) (=> (forall @t92 (=> @t91 (_ @t93 @t53))) (=> (forall @t92 (=> @t91 (_ @t86 @t53))) (=> @t84 @t54))))) % 0.46/0.88 (assume @p28 (forall @t51 (=> @t49 @t75))) % 0.46/0.88 (assume @p29 (forall @t56 (=> @t54 @t84))) % 0.46/0.88 (assume @p30 (forall @t101 (=> @t59 (=> @t100 @t96)))) % 0.46/0.88 (assume @p31 (forall @t110 (=> @t68 (=> @t109 @t104)))) % 0.46/0.88 (assume @p32 (forall @t118 (=> @t49 (=> @t117 @t113)))) % 0.46/0.88 (assume @p33 (forall @t121 (=> @t54 (=> @t120 @t119)))) % 0.46/0.88 (assume @p34 (forall @t51 (=> @t49 (_ (_ tptp.refl_o1298442278od_a_a @t48) @t47)))) % 0.46/0.88 (assume @p35 (forall @t56 (=> @t54 (_ (_ tptp.refl_on_a @t53) @t52)))) % 0.46/0.88 (assume @p36 (forall @t132 (=> @t68 (=> @t131 (=> (and @t129 @t127) (and @t125 @t124)))))) % 0.46/0.88 (assume @p37 (forall @t143 (=> @t49 (=> @t142 (=> (and @t140 @t138) (and @t136 @t135)))))) % 0.46/0.88 (assume @p38 (forall @t150 (=> @t54 (=> @t149 (=> (and @t147 @t146) (and @t145 @t144)))))) % 0.46/0.88 (assume @p39 (forall (@list @t67 @t66) (=> @t155 (forall (@list @t151) (=> (_ (_ tptp.member_set_a @t151) @t67) (forall @t154 (=> (_ @t153 @t67) (or (_ (_ tptp.member593450832_set_a (_ (_ tptp.produc1928581911_set_a @t151) @t152)) @t66) (_ (_ tptp.member593450832_set_a (_ (_ tptp.produc1928581911_set_a @t152) @t151)) @t66))))))))) % 0.46/0.88 (assume @p40 (forall @t51 (=> @t50 (forall (@list @t156) (=> (_ (_ tptp.member449909584od_a_a @t156) @t48) (forall (@list @t157) (=> (_ (_ tptp.member449909584od_a_a @t157) @t48) (or (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t156) @t157)) @t47) (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t157) @t156)) @t47))))))))) % 0.46/0.88 (assume @p41 (forall @t56 (=> @t55 (forall @t24 (=> (_ @t23 @t53) (forall @t22 (=> (_ @t21 @t53) (or (_ @t20 @t52) (_ @t19 @t52))))))))) % 0.46/0.88 (assume @p42 (forall @t51 (=> @t50 (_ (_ tptp.total_1490170027od_a_a @t48) @t47)))) % 0.46/0.88 (assume @p43 (forall @t56 (=> @t55 @t158))) % 0.46/0.88 (assume @p44 (forall @t101 (=> @t163 (=> @t96 (=> @t162 (=> (not (= @t94 @t97)) (or @t100 @t160))))))) % 0.46/0.88 (assume @p45 (forall @t110 (=> @t155 (=> @t104 (=> @t166 (=> (not @t164) (or @t109 @t130))))))) % 0.46/0.88 (assume @p46 (forall @t118 (=> @t50 (=> @t113 (=> @t169 (=> (not @t167) (or @t117 @t141))))))) % 0.46/0.88 (assume @p47 (forall @t121 (=> @t55 (=> @t119 (=> @t170 (=> @t29 (or @t120 @t148))))))) % 0.46/0.88 (assume @p48 (forall @t132 (=> @t155 (=> @t173 (=> (and @t129 (not @t127)) @t171))))) % 0.46/0.88 (assume @p49 (forall @t143 (=> @t50 (=> @t176 (=> (and @t140 (not @t138)) @t174))))) % 0.46/0.88 (assume @p50 (forall @t150 (=> @t55 (=> @t179 (=> (and @t147 (not @t146)) @t177))))) % 0.46/0.88 (assume @p51 (forall @t185 (=> @t163 (=> @t184 (=> @t100 (=> @t182 @t181)))))) % 0.46/0.88 (assume @p52 (forall @t132 (=> @t155 (=> @t187 (=> @t109 (=> @t129 @t125)))))) % 0.46/0.88 (assume @p53 (forall @t143 (=> @t50 (=> @t189 (=> @t117 (=> @t140 @t136)))))) % 0.46/0.88 (assume @p54 (forall @t150 (=> @t55 (=> @t190 (=> @t120 (=> @t147 @t145)))))) % 0.46/0.88 (assume @p55 (forall @t101 (=> @t163 (=> (and @t96 @t162) (= @t191 @t192))))) % 0.46/0.88 (assume @p56 (forall @t110 (=> @t155 (=> (and @t104 @t166) (= @t172 @t173))))) % 0.46/0.88 (assume @p57 (forall @t118 (=> @t50 (=> (and @t113 @t169) (= @t175 @t176))))) % 0.46/0.88 (assume @p58 (forall @t121 (=> @t55 (=> (and @t119 @t170) (= @t178 @t179))))) % 0.46/0.88 (assume @p59 (forall @t185 (=> @t163 (=> @t184 (=> @t192 (or (and @t181 (not (_ (_ tptp.member1899387664od_a_a (_ @t193 @t94)) @t57))) (and @t195 (not @t182)))))))) % 0.46/0.88 (assume @p60 (forall @t132 (=> @t155 (=> @t187 (=> @t173 (or @t171 (and @t127 (not @t129)))))))) % 0.46/0.88 (assume @p61 (forall @t143 (=> @t50 (=> @t189 (=> @t176 (or @t174 (and @t138 (not @t140)))))))) % 0.46/0.88 (assume @p62 (forall @t150 (=> @t55 (=> @t190 (=> @t179 (or @t177 (and @t146 (not @t147)))))))) % 0.46/0.88 (assume @p63 (forall @t101 (=> @t163 (=> @t100 (_ @t161 @t196))))) % 0.46/0.88 (assume @p64 (forall @t110 (=> @t155 (=> @t109 (_ @t165 @t197))))) % 0.46/0.88 (assume @p65 (forall @t118 (=> @t50 (=> @t117 (_ @t168 @t198))))) % 0.46/0.88 (assume @p66 (forall @t121 (=> @t55 (=> @t120 (_ @t12 @t199))))) % 0.46/0.88 (assume @p67 (forall (@list @t58 @t57 @t94) (=> @t163 (=> @t201 (=> @t96 (not (= @t200 tptp.bot_bo1116205875od_a_a))))))) % 0.46/0.88 (assume @p68 (forall (@list @t67 @t66 @t102) (=> @t155 (=> @t203 (=> @t104 (not (= @t202 tptp.bot_bot_set_set_a))))))) % 0.46/0.88 (assume @p69 (forall (@list @t48 @t47 @t111) (=> @t50 (=> @t205 (=> @t113 (not (= @t204 tptp.bot_bo2131659635od_a_a))))))) % 0.46/0.88 (assume @p70 (forall (@list @t53 @t52 @t4) (=> @t55 (=> @t207 (=> @t119 (not (= @t206 tptp.bot_bot_set_a))))))) % 0.46/0.88 (assume @p71 (forall @t101 (=> @t163 (=> @t96 (=> @t162 (=> (_ (_ tptp.ord_le456379495od_a_a @t196) @t200) @t100)))))) % 0.46/0.88 (assume @p72 (forall @t110 (=> @t155 (=> @t104 (=> @t166 (=> @t208 @t109)))))) % 0.46/0.88 (assume @p73 (forall @t118 (=> @t50 (=> @t113 (=> @t169 (=> @t209 @t117)))))) % 0.46/0.88 (assume @p74 (forall @t121 (=> @t55 (=> @t119 (=> @t170 (=> @t210 @t120)))))) % 0.46/0.88 (assume @p75 (forall @t110 (=> @t155 (=> @t109 @t208)))) % 0.46/0.88 (assume @p76 (forall @t118 (=> @t50 (=> @t117 @t209)))) % 0.46/0.88 (assume @p77 (forall @t121 (=> @t55 (=> @t120 @t210)))) % 0.46/0.88 (assume @p78 (forall (@list @t67 @t66 @t105 @t102) (=> @t155 (or @t208 (_ (_ tptp.ord_le318720350_set_a @t202) @t197))))) % 0.46/0.88 (assume @p79 (forall (@list @t48 @t47 @t114 @t111) (=> @t50 (or @t209 (_ (_ tptp.ord_le1824328871od_a_a @t204) @t198))))) % 0.46/0.88 (assume @p80 (forall (@list @t53 @t52 @t1 @t4) (=> @t55 (or @t210 (_ (_ tptp.ord_less_eq_set_a @t206) @t199))))) % 0.46/0.88 (assume @p81 (forall @t11 (=> @t16 (=> @t15 (=> @t13 (=> (not @t213) (not @t10))))))) % 0.46/0.88 (assume @p82 (forall @t216 (=> @t215 (= (_ (_ @t214 tptp.carrier) tptp.relation) @t212)))) % 0.46/0.88 (assume @p83 (forall @t11 (=> @t10 @t213))) % 0.46/0.88 (assume @p84 (forall @t218 (_ (_ tptp.ord_le1824328871od_a_a tptp.bot_bo2131659635od_a_a) @t217))) % 0.46/0.88 (assume @p85 (forall @t220 (_ (_ tptp.ord_le318720350_set_a tptp.bot_bot_set_set_a) @t219))) % 0.46/0.88 (assume @p86 (forall @t223 (_ @t222 @t221))) % 0.46/0.88 (assume @p87 (forall @t218 (= @t226 @t224))) % 0.46/0.88 (assume @p88 (forall @t220 (= (_ @t228 tptp.bot_bot_set_set_a) @t227))) % 0.46/0.88 (assume @p89 (forall @t223 (= @t231 @t229))) % 0.46/0.88 (assume @p90 (forall (@list @t232 @t233) (= (_ @t234 (_ tptp.collec1635618130od_a_a @t233)) (_ @t233 @t232)))) % 0.46/0.88 (assume @p91 (forall (@list @t235 @t236) (= (_ @t238 @t237) (_ @t236 @t235)))) % 0.46/0.88 (assume @p92 (forall (@list @t239 @t240) (= (_ @t242 @t241) (_ @t240 @t239)))) % 0.46/0.88 (assume @p93 (forall (@list @t243 @t244) (= (_ @t246 @t245) (_ @t244 @t243)))) % 0.46/0.88 (assume @p94 (forall @t252 (= (_ tptp.collec1635618130od_a_a (lambda @t251 @t250)) @t247))) % 0.46/0.88 (assume @p95 (forall @t220 (= (_ tptp.collect_set_a (lambda @t256 @t255)) @t219))) % 0.46/0.88 (assume @p96 (forall @t223 (= (_ tptp.collect_a (lambda @t260 @t259)) @t221))) % 0.46/0.88 (assume @p97 (forall @t218 (= (_ tptp.collec645855634od_a_a (lambda @t264 @t263)) @t217))) % 0.46/0.88 (assume @p98 (forall @t270 (=> (forall @t269 (= @t268 @t267)) (= @t245 @t266)))) % 0.46/0.88 (assume @p99 (forall @t276 (=> (forall @t275 (= @t274 @t273)) (= @t241 @t272)))) % 0.46/0.88 (assume @p100 (forall (@list @t235 @t278 @t281 @t277) (= (_ (_ tptp.ord_le486764743_set_a (_ (_ tptp.produc1928581911_set_a @t235) @t278)) (_ (_ tptp.produc1928581911_set_a @t281) @t277)) (and @t283 @t280)))) % 0.46/0.88 (assume @p101 (forall (@list @t235 @t285 @t281 @t284) (= (_ (_ tptp.ord_le1762684455_set_a (_ (_ tptp.produc1560024183_set_a @t235) @t285)) (_ (_ tptp.produc1560024183_set_a @t281) @t284)) (and @t283 @t286)))) % 0.46/0.88 (assume @p102 (forall (@list @t288 @t278 @t287 @t277) (= (_ (_ tptp.ord_le1201700711_set_a (_ (_ tptp.produc32105911_set_a @t288) @t278)) (_ (_ tptp.produc32105911_set_a @t287) @t277)) (and @t289 @t280)))) % 0.46/0.88 (assume @p103 (forall (@list @t235 @t291 @t281 @t290) (= (_ (_ tptp.ord_le49202928od_a_a (_ (_ tptp.produc1397177024od_a_a @t235) @t291)) (_ (_ tptp.produc1397177024od_a_a @t281) @t290)) (and @t283 @t292)))) % 0.46/0.88 (assume @p104 (forall (@list @t294 @t278 @t293 @t277) (= (_ (_ tptp.ord_le2095302494_set_a (_ (_ tptp.produc194376366_set_a @t294) @t278)) (_ (_ tptp.produc194376366_set_a @t293) @t277)) (and @t295 @t280)))) % 0.46/0.88 (assume @p105 (forall (@list @t288 @t285 @t287 @t284) (= (_ (_ tptp.ord_le723713223_set_a (_ (_ tptp.produc2102896407_set_a @t288) @t285)) (_ (_ tptp.produc2102896407_set_a @t287) @t284)) (and @t289 @t286)))) % 0.46/0.88 (assume @p106 (forall (@list @t235 @t297 @t281 @t296) (= (_ (_ tptp.ord_le560833296_set_a (_ (_ tptp.produc272677600_set_a @t235) @t297)) (_ (_ tptp.produc272677600_set_a @t281) @t296)) (and @t283 (_ (_ tptp.ord_le486764743_set_a @t297) @t296))))) % 0.46/0.88 (assume @p107 (forall (@list @t294 @t285 @t293 @t284) (= (_ (_ tptp.ord_le642967742_set_a (_ (_ tptp.produc1599887374_set_a @t294) @t285)) (_ (_ tptp.produc1599887374_set_a @t293) @t284)) (and @t295 @t286)))) % 0.46/0.88 (assume @p108 (forall (@list @t299 @t278 @t298 @t277) (= (_ (_ tptp.ord_le1729087294_set_a (_ (_ tptp.produc1719072398_set_a @t299) @t278)) (_ (_ tptp.produc1719072398_set_a @t298) @t277)) (and (_ (_ tptp.ord_le486764743_set_a @t299) @t298) @t280)))) % 0.46/0.88 (assume @p109 (forall (@list @t288 @t291 @t287 @t290) (= (_ (_ tptp.ord_le526661008od_a_a (_ (_ tptp.produc1618062688od_a_a @t288) @t291)) (_ (_ tptp.produc1618062688od_a_a @t287) @t290)) (and @t289 @t292)))) % 0.46/0.88 (assume @p110 (forall @t216 (= (_ @t43 @t301) @t215))) % 0.46/0.88 (assume @p111 (forall @t11 (= (_ @t14 @t301) @t46))) % 0.46/0.88 (assume @p112 (forall @t312 (=> @t311 (=> @t310 (exists @t309 (and @t308 (forall @t307 (=> @t306 (=> (_ (_ tptp.ord_le1824328871od_a_a @t303) @t302) @t304))))))))) % 0.46/0.88 (assume @p113 (forall @t323 (=> @t322 (=> @t321 (exists @t320 (and @t319 (forall @t318 (=> @t317 (=> (_ (_ tptp.ord_le486764743_set_a @t314) @t313) @t315))))))))) % 0.46/0.88 (assume @p114 (forall @t334 (=> @t333 (=> @t332 (exists @t331 (and @t330 (forall @t329 (=> @t328 (=> (_ (_ tptp.ord_le318720350_set_a @t325) @t324) @t326))))))))) % 0.46/0.88 (assume @p115 (forall @t220 (=> @t342 (=> @t341 (exists @t340 (and @t339 @t338)))))) % 0.46/0.88 (assume @p116 (forall @t312 (=> @t311 (=> @t310 (exists @t309 (and @t308 (forall @t307 (=> @t306 (=> (_ (_ tptp.ord_le1824328871od_a_a @t302) @t303) @t304))))))))) % 0.46/0.88 (assume @p117 (forall @t323 (=> @t322 (=> @t321 (exists @t320 (and @t319 (forall @t318 (=> @t317 (=> (_ (_ tptp.ord_le486764743_set_a @t313) @t314) @t315))))))))) % 0.46/0.88 (assume @p118 (forall @t334 (=> @t333 (=> @t332 (exists @t331 (and @t330 (forall @t329 (=> @t328 (=> (_ (_ tptp.ord_le318720350_set_a @t324) @t325) @t326))))))))) % 0.46/0.88 (assume @p119 (forall @t220 (=> @t342 (=> @t341 (exists @t340 (and @t339 @t343)))))) % 0.46/0.88 (assume @p120 (forall @t346 (= (= tptp.bot_bo2131659635od_a_a @t245) @t345))) % 0.46/0.88 (assume @p121 (forall @t349 (= (= tptp.bot_bot_set_set_a @t237) @t348))) % 0.46/0.88 (assume @p122 (forall @t352 (= (= tptp.bot_bot_set_a @t241) @t351))) % 0.46/0.88 (assume @p123 (forall @t346 (= (= @t245 tptp.bot_bo2131659635od_a_a) @t345))) % 0.46/0.88 (assume @p124 (forall @t349 (= (= @t237 tptp.bot_bot_set_set_a) @t348))) % 0.46/0.88 (assume @p125 (forall @t352 (= @t353 @t351))) % 0.46/0.88 (assume @p126 (forall @t252 (= (forall @t251 (not @t250)) @t354))) % 0.46/0.88 (assume @p127 (forall @t220 (= (forall @t256 (not @t255)) @t227))) % 0.46/0.88 (assume @p128 (forall @t218 (= (forall @t264 (not @t263)) @t224))) % 0.46/0.88 (assume @p129 (forall @t223 (= (forall @t260 (not @t259)) @t229))) % 0.46/0.88 (assume @p130 (forall (@list @t355) (not (_ @t356 tptp.bot_bo1116205875od_a_a)))) % 0.46/0.88 (assume @p131 (forall (@list @t281) (not (_ @t357 tptp.bot_bot_set_set_a)))) % 0.46/0.88 (assume @p132 (forall (@list @t358) (not (_ @t359 tptp.bot_bo2131659635od_a_a)))) % 0.46/0.88 (assume @p133 (forall (@list @t360) (not (_ @t361 tptp.bot_bot_set_a)))) % 0.46/0.88 (assume @p134 (forall (@list @t247 @t362) (=> (forall (@list @t62) (=> (_ @t65 @t247) (_ @t65 @t362))) @t363))) % 0.46/0.88 (assume @p135 (forall @t366 (=> (forall @t340 (=> @t339 (_ @t74 @t364))) @t365))) % 0.46/0.88 (assume @p136 (forall @t370 (=> (forall @t269 (=> @t369 (_ @t83 @t367))) @t368))) % 0.46/0.88 (assume @p137 (forall @t374 (=> (forall @t275 (=> @t373 (_ @t93 @t371))) @t372))) % 0.46/0.88 (assume @p138 (forall @t370 (=> @t368 (=> @t377 @t375)))) % 0.46/0.88 (assume @p139 (forall @t366 (=> @t365 (=> @t380 @t378)))) % 0.46/0.88 (assume @p140 (forall @t374 (=> @t372 (=> @t383 @t381)))) % 0.46/0.88 (assume @p141 (forall (@list @t180 @t97 @t362 @t384) (=> (_ @t183 @t386) (_ @t194 @t384)))) % 0.46/0.88 (assume @p142 (forall (@list @t122 @t105 @t364 @t387) (=> (_ @t186 @t389) (_ @t126 @t387)))) % 0.46/0.88 (assume @p143 (forall (@list @t133 @t114 @t367 @t390) (=> (_ @t188 @t392) (_ @t137 @t390)))) % 0.46/0.88 (assume @p144 (forall (@list @t30 @t1 @t371 @t393) (=> (_ @t43 @t394) (_ @t34 @t393)))) % 0.46/0.88 (assume @p145 (forall (@list @t94 @t97 @t362 @t384) (=> (_ @t95 @t386) (_ @t99 @t384)))) % 0.46/0.88 (assume @p146 (forall (@list @t102 @t105 @t364 @t387) (=> (_ @t103 @t389) (_ @t108 @t387)))) % 0.46/0.88 (assume @p147 (forall (@list @t111 @t114 @t367 @t390) (=> (_ @t112 @t392) (_ @t116 @t390)))) % 0.46/0.88 (assume @p148 (forall (@list @t4 @t1 @t371 @t393) (=> (_ @t14 @t394) (_ @t9 @t393)))) % 0.46/0.88 (assume @p149 (forall @t252 (= (exists @t251 @t250) (not @t354)))) % 0.46/0.88 (assume @p150 (forall @t220 (= (exists @t256 @t255) @t341))) % 0.46/0.88 (assume @p151 (forall @t218 (= (exists @t264 @t263) (not @t224)))) % 0.46/0.88 (assume @p152 (forall @t223 (= (exists @t260 @t259) (not @t229)))) % 0.46/0.88 (assume @p153 (forall @t252 (=> (forall (@list @t60) (not (_ @t61 @t247))) @t354))) % 0.46/0.88 (assume @p154 (forall @t220 (=> (forall @t395 (not (_ @t70 @t219))) @t227))) % 0.46/0.88 (assume @p155 (forall @t218 (=> (forall (@list @t76) (not @t396)) @t224))) % 0.46/0.88 (assume @p156 (forall @t223 (=> (forall (@list @t85) (not @t397)) @t229))) % 0.46/0.88 (assume @p157 (forall (@list @t247 @t232) (=> @t354 (not (_ @t234 @t247))))) % 0.46/0.88 (assume @p158 (forall @t399 (=> @t227 (not @t398)))) % 0.46/0.88 (assume @p159 (forall (@list @t217 @t243) (=> @t224 (not @t400)))) % 0.46/0.88 (assume @p160 (forall (@list @t221 @t239) (=> @t229 (not @t401)))) % 0.46/0.88 (assume @p161 (forall (@list @t232) (not (_ @t234 tptp.bot_bo1116205875od_a_a)))) % 0.46/0.88 (assume @p162 (forall @t402 (not (_ @t238 tptp.bot_bot_set_set_a)))) % 0.46/0.88 (assume @p163 (forall (@list @t243) (not (_ @t246 tptp.bot_bo2131659635od_a_a)))) % 0.46/0.88 (assume @p164 (forall (@list @t239) (not (_ @t242 tptp.bot_bot_set_a)))) % 0.46/0.88 (assume @p165 (forall (@list @t247 @t362 @t94) (=> @t363 (=> (_ @t95 @t247) (_ @t95 @t362))))) % 0.46/0.88 (assume @p166 (forall (@list @t219 @t364 @t102) (=> @t365 (=> (_ @t103 @t219) (_ @t103 @t364))))) % 0.46/0.88 (assume @p167 (forall (@list @t217 @t367 @t111) (=> @t368 (=> @t403 (_ @t112 @t367))))) % 0.46/0.88 (assume @p168 (forall (@list @t221 @t371 @t4) (=> @t372 (=> @t404 (_ @t14 @t371))))) % 0.46/0.88 (assume @p169 (forall (@list @t247 @t362 @t355) (=> @t363 (=> (_ @t356 @t247) (_ @t356 @t362))))) % 0.46/0.88 (assume @p170 (forall (@list @t219 @t364 @t281) (=> @t365 (=> (_ @t357 @t219) (_ @t357 @t364))))) % 0.46/0.88 (assume @p171 (forall (@list @t217 @t367 @t358) (=> @t368 (=> (_ @t359 @t217) (_ @t359 @t367))))) % 0.46/0.88 (assume @p172 (forall (@list @t221 @t371 @t360) (=> @t372 (=> (_ @t361 @t221) (_ @t361 @t371))))) % 0.46/0.88 (assume @p173 (forall @t370 (=> @t375 (not (=> @t368 (not @t377)))))) % 0.46/0.88 (assume @p174 (forall @t366 (=> @t378 (not (=> @t365 (not @t380)))))) % 0.46/0.88 (assume @p175 (forall @t374 (=> @t381 (not (=> @t372 (not @t383)))))) % 0.46/0.88 (assume @p176 (forall @t370 (=> @t375 @t368))) % 0.46/0.88 (assume @p177 (forall @t366 (=> @t378 @t365))) % 0.46/0.88 (assume @p178 (forall @t374 (=> @t381 @t372))) % 0.46/0.88 (assume @p179 (forall @t370 (=> @t375 @t377))) % 0.46/0.88 (assume @p180 (forall @t366 (=> @t378 @t380))) % 0.46/0.88 (assume @p181 (forall @t374 (=> @t381 @t383))) % 0.46/0.88 (assume @p182 (= tptp.ord_le456379495od_a_a (lambda @t409 (forall (@list @t406) (=> (_ @t407 @t408) (_ @t407 @t405)))))) % 0.46/0.88 (assume @p183 (= tptp.ord_le318720350_set_a (lambda @t414 (forall (@list @t411) (=> (_ @t412 @t413) (_ @t412 @t410)))))) % 0.46/0.88 (assume @p184 (= tptp.ord_le1824328871od_a_a (lambda @t419 (forall (@list @t416) (=> (_ @t417 @t418) (_ @t417 @t415)))))) % 0.46/0.88 (assume @p185 (= tptp.ord_less_eq_set_a (lambda @t424 (forall (@list @t421) (=> (_ @t422 @t423) (_ @t422 @t420)))))) % 0.46/0.88 (assume @p186 (forall @t218 (_ @t225 @t217))) % 0.46/0.88 (assume @p187 (forall @t220 (_ @t228 @t219))) % 0.46/0.88 (assume @p188 (forall @t223 (_ @t230 @t221))) % 0.46/0.88 (assume @p189 (forall @t270 (=> (forall @t269 @t426) @t425))) % 0.46/0.88 (assume @p190 (forall @t431 (=> (forall @t340 (=> @t430 @t429)) @t428))) % 0.46/0.88 (assume @p191 (forall @t276 (=> (forall @t275 @t433) @t432))) % 0.46/0.88 (assume @p192 (forall (@list @t217 @t367 @t434) (=> @t368 (=> (_ @t376 @t434) (_ @t225 @t434))))) % 0.46/0.88 (assume @p193 (forall (@list @t219 @t364 @t435) (=> @t365 (=> (_ @t379 @t435) (_ @t228 @t435))))) % 0.46/0.88 (assume @p194 (forall @t439 (=> @t372 (=> @t438 @t437)))) % 0.46/0.88 (assume @p195 (= (lambda (@list @t441 @t440) (= @t441 @t440)) (lambda @t419 (and (_ (_ tptp.ord_le1824328871od_a_a @t418) @t415) (_ (_ tptp.ord_le1824328871od_a_a @t415) @t418))))) % 0.46/0.88 (assume @p196 (= (lambda (@list @t443 @t442) (= @t443 @t442)) (lambda @t414 (and (_ (_ tptp.ord_le318720350_set_a @t413) @t410) (_ (_ tptp.ord_le318720350_set_a @t410) @t413))))) % 0.46/0.88 (assume @p197 (= @t446 (lambda @t424 (and (_ (_ tptp.ord_less_eq_set_a @t423) @t420) (_ (_ tptp.ord_less_eq_set_a @t420) @t423))))) % 0.46/0.88 (assume @p198 (forall @t270 (= @t425 (forall @t264 (=> @t344 (_ @t265 @t261)))))) % 0.46/0.88 (assume @p199 (forall @t431 (= @t428 (forall @t256 (=> @t347 (_ @t427 @t253)))))) % 0.46/0.88 (assume @p200 (forall @t276 (= @t432 (forall @t260 (=> @t350 (_ @t271 @t257)))))) % 0.46/0.88 (assume @p201 (forall @t449 (=> @t155 (=> @t448 (= (_ (_ (_ tptp.prefer1203288218_set_a @t122) @t67) @t66) @t447))))) % 0.46/0.88 (assume @p202 (forall @t452 (=> @t50 (=> @t451 (= (_ (_ (_ tptp.prefer477097315od_a_a @t133) @t48) @t47) @t450))))) % 0.46/0.88 (assume @p203 (forall @t455 (=> @t55 (=> @t454 (= (_ (_ @t214 @t53) @t52) @t453))))) % 0.46/0.88 (assume @p204 (forall @t101 (=> @t163 (=> @t100 @t456)))) % 0.46/0.88 (assume @p205 (forall @t110 (=> @t155 (=> @t109 @t457)))) % 0.46/0.88 (assume @p206 (forall @t118 (=> @t50 (=> @t117 @t458)))) % 0.46/0.88 (assume @p207 (forall @t121 (=> @t55 (=> @t120 @t459)))) % 0.46/0.88 (assume @p208 (forall (@list @t58 @t57 @t180 @t97) (=> @t163 (= (_ @t183 @t460) (and @t195 @t182))))) % 0.46/0.88 (assume @p209 (forall @t449 (=> @t155 (= (_ @t186 @t461) @t448)))) % 0.46/0.88 (assume @p210 (forall @t452 (=> @t50 (= (_ @t188 @t462) @t451)))) % 0.46/0.88 (assume @p211 (forall @t455 (=> @t55 (= (_ @t43 @t463) @t454)))) % 0.46/0.88 (assume @p212 (forall @t101 (=> @t163 (= (_ @t95 @t460) (and @t100 @t160))))) % 0.46/0.88 (assume @p213 (forall @t110 (=> @t155 (= (_ @t103 @t461) @t131)))) % 0.46/0.88 (assume @p214 (forall @t118 (=> @t50 (= (_ @t112 @t462) @t142)))) % 0.46/0.88 (assume @p215 (forall @t121 (=> @t55 (= (_ @t14 @t463) @t149)))) % 0.46/0.88 (assume @p216 (forall @t101 (=> @t163 (=> @t201 (=> @t96 (=> @t162 (=> (not @t456) (not @t100)))))))) % 0.46/0.88 (assume @p217 (forall @t110 (=> @t155 (=> @t203 (=> @t104 (=> @t166 (=> (not @t457) (not @t109)))))))) % 0.46/0.88 (assume @p218 (forall @t118 (=> @t50 (=> @t205 (=> @t113 (=> @t169 (=> (not @t458) (not @t117)))))))) % 0.46/0.88 (assume @p219 (forall @t121 (=> @t55 (=> @t207 (=> @t119 (=> @t170 (=> (not @t459) (not @t120)))))))) % 0.46/0.88 (assume @p220 (forall (@list @t467 @t465 @t466 @t464) (=> (_ (_ tptp.ord_le486764743_set_a @t467) @t465) (=> @t468 (_ (_ tptp.ord_le2039441566_set_a (_ (_ tptp.produc759028718_set_a @t467) @t466)) (_ (_ tptp.produc759028718_set_a @t465) @t464)))))) % 0.46/0.88 (assume @p221 (forall (@list @t471 @t470 @t105 @t469) (=> @t474 (=> @t473 (_ (_ tptp.ord_le1201700711_set_a (_ (_ tptp.produc32105911_set_a @t471) @t105)) (_ (_ tptp.produc32105911_set_a @t470) @t469)))))) % 0.46/0.88 (assume @p222 (forall (@list @t471 @t470 @t476 @t475) (=> @t474 (=> (_ (_ tptp.ord_le1824328871od_a_a @t476) @t475) (_ (_ tptp.ord_le526661008od_a_a (_ (_ tptp.produc1618062688od_a_a @t471) @t476)) (_ (_ tptp.produc1618062688od_a_a @t470) @t475)))))) % 0.46/0.88 (assume @p223 (forall (@list @t471 @t470 @t478 @t477) (=> @t474 (=> (_ (_ tptp.ord_le486764743_set_a @t478) @t477) (_ (_ tptp.ord_le1138266544_set_a (_ (_ tptp.produc760262016_set_a @t471) @t478)) (_ (_ tptp.produc760262016_set_a @t470) @t477)))))) % 0.46/0.88 (assume @p224 (forall (@list @t471 @t470 @t466 @t464) (=> @t474 (=> @t468 (_ (_ tptp.ord_le723713223_set_a (_ (_ tptp.produc2102896407_set_a @t471) @t466)) (_ (_ tptp.produc2102896407_set_a @t470) @t464)))))) % 0.46/0.88 (assume @p225 (forall (@list @t102 @t479 @t105 @t469) (=> (_ @t480 @t479) (=> @t473 (_ (_ tptp.ord_le486764743_set_a @t107) (_ (_ tptp.produc1928581911_set_a @t479) @t469)))))) % 0.46/0.88 (assume @p226 (forall @t399 (=> @t342 (=> @t398 (exists @t340 (and @t339 (_ @t282 @t71) @t338)))))) % 0.46/0.88 (assume @p227 (forall @t399 (=> @t342 (=> @t398 (exists @t340 (and @t339 (_ @t336 @t235) @t343)))))) % 0.46/0.88 (assume @p228 (= tptp.bot_bo1519632275_set_a (_ (_ tptp.produc1928581911_set_a tptp.bot_bot_set_a) tptp.bot_bot_set_a))) % 0.46/0.88 (assume @p229 (forall (@list @t481) (=> @t482 (not (= @t481 tptp.bot_bot_set_a))))) % 0.46/0.88 (assume @p230 (_ tptp.finite_finite_a tptp.bot_bot_set_a)) % 0.46/0.88 (assume @p231 (forall @t374 (=> @t372 (=> @t484 @t483)))) % 0.46/0.88 (assume @p232 (forall @t487 (=> (_ (_ tptp.ord_less_eq_set_a @t481) @t485) (=> @t482 @t486)))) % 0.46/0.88 (assume @p233 (forall @t488 (=> @t484 (=> @t372 @t483)))) % 0.46/0.88 (assume @p234 (forall @t497 (= @t496 (and @t493 @t491)))) % 0.46/0.88 (assume @p235 (forall (@list @t501 @t499 @t500 @t498) (= (= (_ (_ tptp.product_Pair_a_a @t501) @t499) (_ (_ tptp.product_Pair_a_a @t500) @t498)) (and (= @t501 @t500) (= @t499 @t498))))) % 0.46/0.88 (assume @p236 (forall (@list @t102) (_ @t480 @t102))) % 0.46/0.88 (assume @p237 (_ (_ tptp.order_preorder_on_a tptp.bot_bot_set_a) tptp.bot_bo2131659635od_a_a)) % 0.46/0.88 (assume @p238 (forall (@list @t217 @t502) (=> (forall @t82 (=> @t369 (=> @t396 (=> (not (= @t78 @t76)) (or (_ @t80 @t502) (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t76) @t78)) @t502)))))) (_ (_ tptp.total_1490170027od_a_a @t217) @t502)))) % 0.46/0.88 (assume @p239 (forall (@list @t221 @t503) (=> (forall @t92 (=> @t373 (=> @t397 (=> (not (= @t87 @t85)) (or @t505 (_ (_ tptp.member449909584od_a_a (_ @t504 @t87)) @t503)))))) (_ (_ tptp.total_on_a @t221) @t503)))) % 0.46/0.88 (assume @p240 (forall @t506 (_ (_ tptp.total_on_a tptp.bot_bot_set_a) @t503))) % 0.46/0.88 (assume @p241 (= tptp.bot_bot_set_a (_ tptp.collect_a tptp.bot_bot_a_o))) % 0.46/0.88 (assume @p242 (forall (@list @t278 @t235) (=> @t509 (=> @t508 @t507)))) % 0.46/0.88 (assume @p243 (= @t446 (lambda @t514 (and @t513 @t512)))) % 0.46/0.88 (assume @p244 (forall (@list @t278 @t235 @t281) (=> @t509 (=> (_ @t515 @t278) (_ @t515 @t235))))) % 0.46/0.88 (assume @p245 (forall @t402 (_ @t282 @t235))) % 0.46/0.88 (assume @p246 (forall (@list @t102 @t105 @t122) (=> @t516 (=> (_ @t472 @t122) (_ @t480 @t122))))) % 0.46/0.88 (assume @p247 (forall (@list @t235 @t278) (=> @t508 (=> @t509 @t507)))) % 0.46/0.88 (assume @p248 (forall @t517 (=> @t508 (=> (= @t278 @t281) @t283)))) % 0.46/0.88 (assume @p249 (forall @t517 (=> @t507 @t519))) % 0.46/0.88 (assume @p250 (= @t446 (lambda @t514 (and @t512 @t513)))) % 0.46/0.88 (assume @p251 (forall (@list @t105 @t102) (=> @t520 (= @t516 @t164)))) % 0.46/0.88 (assume @p252 (forall @t517 (=> @t508 @t519))) % 0.46/0.88 (assume @p253 (forall @t521 (=> @t164 @t516))) % 0.46/0.88 (assume @p254 (forall @t521 (=> @t516 (=> @t520 @t164)))) % 0.46/0.88 (assume @p255 (= @t446 (lambda @t524 (and (_ @t523 @t522) (_ (_ tptp.ord_less_eq_set_a @t522) @t253))))) % 0.46/0.88 (assume @p256 (forall @t529 (=> @t508 (=> (= @t528 @t281) @t527)))) % 0.46/0.88 (assume @p257 (forall @t531 (=> (= @t235 @t528) @t530))) % 0.46/0.88 (assume @p258 (forall @t529 (=> @t508 (=> (_ (_ tptp.ord_less_eq_set_a @t528) @t281) @t527)))) % 0.46/0.88 (assume @p259 (forall @t531 (=> (_ @t282 @t528) @t530))) % 0.46/0.88 (assume @p260 (forall (@list @t532) (exists @t92 (= @t532 @t89)))) % 0.46/0.88 (assume @p261 (forall (@list @t244 @t532) (=> @t537 (_ @t244 @t532)))) % 0.46/0.88 (assume @p262 (forall @t497 (=> @t496 (not (=> @t493 (not @t491)))))) % 0.46/0.88 (assume @p263 (forall (@list @t114) (not (forall @t536 (not (= @t114 @t535)))))) % 0.46/0.88 (assume @p264 (forall (@list @t244 @t538) (=> @t537 (_ @t244 @t538)))) % 0.46/0.88 (assume @p265 (forall @t540 (=> (forall @t92 (=> @t505 (_ @t90 @t539))) (_ (_ tptp.ord_le1824328871od_a_a @t503) @t539)))) % 0.46/0.88 (assume @p266 (forall @t402 (=> @t542 @t541))) % 0.46/0.88 (assume @p267 (forall @t402 (= @t542 @t541))) % 0.46/0.88 (assume @p268 (forall @t402 (_ @t222 @t235))) % 0.46/0.88 (assume @p269 (_ (_ tptp.refl_on_a tptp.bot_bot_set_a) tptp.bot_bo2131659635od_a_a)) % 0.46/0.88 (assume @p270 (forall (@list @t217 @t502 @t243) (=> @t545 (=> @t400 (_ @t544 @t502))))) % 0.46/0.88 (assume @p271 (forall (@list @t221 @t503 @t239) (=> @t548 (=> @t401 (_ @t546 @t503))))) % 0.46/0.88 (assume @p272 (forall @t550 (=> @t545 (=> @t549 @t403)))) % 0.46/0.88 (assume @p273 (forall @t552 (=> @t548 (=> @t551 @t404)))) % 0.46/0.88 (assume @p274 (forall @t550 (=> @t545 (=> @t549 (_ @t168 @t217))))) % 0.46/0.88 (assume @p275 (forall @t552 (=> @t548 (=> @t551 (_ @t12 @t221))))) % 0.46/0.88 (assume @p276 (forall (@list @t217 @t502 @t243 @t553) (=> @t545 (=> (_ @t554 @t502) (and @t400 (_ (_ tptp.member449909584od_a_a @t553) @t217)))))) % 0.46/0.88 (assume @p277 (forall (@list @t221 @t503 @t239 @t490) (=> @t548 (=> @t556 (and @t401 (_ (_ tptp.member_a @t490) @t221)))))) % 0.46/0.88 (assume @p278 (forall @t56 (=> @t54 (=> @t557 @t55)))) % 0.46/0.88 (assume @p279 (forall (@list @t217 @t559) (=> (_ tptp.finite179568208od_a_a @t217) (=> (forall @t269 (not (_ @t560 @t78))) (=> (forall (@list @t78 @t76 @t561) (=> (_ @t560 @t76) (=> (_ (_ @t559 @t76) @t561) (_ @t560 @t561)))) (=> (forall @t269 (=> @t369 (exists (@list @t558) (and (_ (_ tptp.member449909584od_a_a @t558) @t217) (_ @t560 @t558))))) @t224)))))) % 0.46/0.88 (assume @p280 (forall (@list @t221 @t563) (=> @t483 (=> (forall @t275 (not (_ @t564 @t87))) (=> (forall @t566 (=> (_ @t564 @t85) (=> (_ (_ @t563 @t85) @t565) (_ @t564 @t565)))) (=> (forall @t275 (=> @t373 (exists (@list @t562) (and (_ (_ tptp.member_a @t562) @t221) (_ @t564 @t562))))) @t229)))))) % 0.46/0.88 (assume @p281 (forall @t218 (=> (forall @t269 (not @t369)) @t226))) % 0.46/0.88 (assume @p282 (forall @t223 (=> (forall @t275 (not @t373)) @t231))) % 0.46/0.88 (assume @p283 (forall (@list @t569 @t571 @t567 @t568) (=> (_ (_ tptp.member449909584od_a_a (_ @t570 @t571)) @t567) (=> (= @t568 @t571) (_ (_ tptp.member449909584od_a_a (_ @t570 @t568)) @t567))))) % 0.46/0.88 (assume @p284 (forall @t56 (=> @t158 @t557))) % 0.46/0.88 (assume @p285 (= tptp.prefer580340847ioms_a tptp.total_on_a)) % 0.46/0.88 (assume @p286 (forall @t56 (=> @t55 @t557))) % 0.46/0.88 (assume @p287 (forall @t352 (= @t353 (= @t240 tptp.bot_bot_a_o)))) % 0.46/0.88 (assume @p288 (_ tptp.trans_a tptp.relation)) % 0.46/0.88 (assume @p289 (forall @t56 (=> @t54 (_ tptp.trans_a @t52)))) % 0.46/0.88 (assume @p290 (_ tptp.trans_a tptp.bot_bo2131659635od_a_a)) % 0.46/0.88 (assume @p291 (forall (@list @t503 @t4 @t1 @t30) (=> @t572 (=> @t551 (=> (_ @t31 @t503) (_ @t38 @t503)))))) % 0.46/0.88 (assume @p292 (forall @t506 (=> (forall @t566 (=> @t505 (=> (_ (_ tptp.member449909584od_a_a (_ @t504 @t565)) @t503) (_ (_ tptp.member449909584od_a_a (_ @t88 @t565)) @t503)))) @t572))) % 0.46/0.88 (assume @p293 (= (_ tptp.id_on_a tptp.bot_bot_set_a) tptp.bot_bo2131659635od_a_a)) % 0.46/0.88 (assume @p294 (forall (@list @t503 @t239 @t490) (=> @t572 (=> @t556 (_ (_ tptp.ord_less_eq_set_a (_ @t573 @t239)) (_ @t573 @t490)))))) % 0.46/0.88 (assume @p295 (forall (@list @t243 @t217) (=> @t400 (_ @t544 @t574)))) % 0.46/0.88 (assume @p296 (forall (@list @t239 @t221) (=> @t401 (_ @t546 @t575)))) % 0.46/0.88 (assume @p297 (forall @t223 (_ tptp.trans_a @t575))) % 0.46/0.88 (assume @p298 (forall (@list @t111 @t114 @t217) (= (_ @t116 @t574) (and @t167 @t403)))) % 0.46/0.88 (assume @p299 (forall (@list @t4 @t1 @t221) (= (_ @t9 @t575) (and @t28 @t404)))) % 0.46/0.88 (assume @p300 (forall (@list @t243 @t553 @t217) (=> (= @t243 @t553) (=> @t400 (_ @t554 @t574))))) % 0.46/0.88 (assume @p301 (forall (@list @t239 @t490 @t221) (=> (= @t239 @t490) (=> @t401 (_ @t555 @t575))))) % 0.46/0.88 (assume @p302 (forall (@list @t355 @t217) (=> (_ @t356 @t574) (not (forall @t269 (=> @t369 (not (= @t355 (_ @t79 @t78))))))))) % 0.46/0.88 (assume @p303 (forall (@list @t358 @t221) (=> (_ @t359 @t575) (not (forall @t275 (=> @t373 (not (= @t358 (_ @t88 @t87))))))))) % 0.46/0.88 (assume @p304 (forall @t223 (_ @t547 @t575))) % 0.46/0.88 (assume @p305 (forall (@list @t236 @t102) (=> @t578 (=> @t577 (= @t576 @t102))))) % 0.46/0.88 (assume @p306 (forall (@list @t236 @t102 @t427) (=> @t578 (=> @t577 (=> (forall @t340 (=> @t430 (=> (forall (@list @t579) (=> (_ @t236 @t579) (_ (_ tptp.ord_less_eq_set_a @t579) @t71))) @t429))) (_ @t427 @t576)))))) % 0.46/0.88 (assume @p307 (forall @t366 (=> @t365 (=> @t341 (=> @t581 (_ (_ tptp.ord_less_eq_set_a (_ tptp.lattic1600076923_set_a @t364)) @t580)))))) % 0.46/0.88 (assume @p308 (forall @t366 (=> @t365 (=> @t341 (=> @t581 (_ @t583 (_ tptp.lattic501550101_set_a @t364))))))) % 0.46/0.88 (assume @p309 (forall @t220 (=> @t342 (=> @t341 (_ @t584 @t582))))) % 0.46/0.88 (assume @p310 (forall @t399 (=> @t342 (=> @t398 (_ @t282 @t582))))) % 0.46/0.88 (assume @p311 (forall @t399 (=> @t342 (=> @t398 (_ @t584 @t235))))) % 0.46/0.88 (assume @p312 (forall @t589 (=> @t342 (=> @t341 (=> @t588 (forall @t587 (=> @t586 (_ @t480 @t585)))))))) % 0.46/0.88 (assume @p313 (forall @t589 (=> @t342 (=> @t341 (=> (forall @t592 (=> @t591 (_ @t480 @t590))) @t588))))) % 0.46/0.88 (assume @p314 (forall @t589 (=> @t342 (=> @t341 (=> @t593 (forall @t587 (=> @t586 (_ (_ tptp.ord_less_eq_set_a @t585) @t102)))))))) % 0.46/0.88 (assume @p315 (forall @t589 (=> @t342 (=> @t341 (=> (forall @t592 (=> @t591 (_ (_ tptp.ord_less_eq_set_a @t590) @t102))) @t593))))) % 0.46/0.88 (assume @p316 (forall @t589 (=> @t342 (=> @t341 (= @t588 (forall @t256 (=> @t255 (_ @t480 @t253)))))))) % 0.46/0.88 (assume @p317 (forall @t589 (=> @t342 (=> @t341 (= @t593 (forall @t256 (=> @t255 (_ @t523 @t102)))))))) % 0.46/0.88 (assume @p318 (forall @t374 (= (= @t594 tptp.bot_bot_set_a) (and @t229 (= @t371 tptp.bot_bot_set_a))))) % 0.46/0.88 (assume @p319 (forall @t601 (= @t600 (and @t597 @t596)))) % 0.46/0.88 (assume @p320 (forall @t439 (= (_ (_ tptp.ord_less_eq_set_a @t594) @t436) (and @t437 @t438)))) % 0.46/0.88 (assume @p321 (forall @t606 (=> (or @t605 @t604) (_ tptp.finite_finite_a (_ (_ tptp.inf_inf_set_a @t603) @t602))))) % 0.46/0.88 (assume @p322 (forall @t606 (= @t607 (and @t605 @t604)))) % 0.46/0.88 (assume @p323 (forall @t540 (=> @t572 (=> (_ tptp.trans_a @t539) (_ tptp.trans_a @t608))))) % 0.46/0.88 (assume @p324 (forall @t610 (=> @t548 (=> @t609 (_ (_ tptp.refl_on_a @t594) (_ (_ tptp.sup_su615935707od_a_a @t503) @t539)))))) % 0.46/0.88 (assume @p325 (forall @t610 (=> @t548 (=> @t609 (_ (_ tptp.refl_on_a @t599) @t608))))) % 0.46/0.88 (assume @p326 (forall @t606 (=> @t605 (=> @t604 @t607)))) % 0.46/0.88 (assume @p327 (forall @t487 (=> @t482 @t611))) % 0.46/0.88 (assume @p328 (forall @t487 (= @t611 (or @t482 @t486)))) % 0.46/0.88 (assume @p329 (forall @t439 (= (= (_ (_ tptp.sup_sup_set_a @t599) @t436) (_ @t598 (_ (_ tptp.sup_sup_set_a @t371) @t436))) @t597))) % 0.46/0.88 (assume @p330 (forall (@list @t221 @t436 @t371 @t612) (=> @t437 (=> (_ @t382 @t612) (_ @t613 (_ (_ tptp.inf_inf_set_a @t436) @t612)))))) % 0.46/0.88 (assume @p331 (forall @t374 (_ @t613 @t221))) % 0.46/0.88 (assume @p332 (forall @t374 (_ @t613 @t371))) % 0.46/0.88 (assume @p333 (forall @t488 (=> @t383 (= @t599 @t371)))) % 0.46/0.88 (assume @p334 (forall @t374 (=> @t372 (= @t599 @t221)))) % 0.46/0.88 (assume @p335 (forall @t601 (=> @t597 (=> @t596 @t600)))) % 0.46/0.88 (assume @p336 (forall (@list @t217 @t367 @t244 @t265) (=> @t368 (=> (forall @t269 (=> @t369 @t426)) (_ (_ tptp.ord_le1824328871od_a_a (_ (_ tptp.inf_in920712437od_a_a @t217) @t245)) (_ (_ tptp.inf_in920712437od_a_a @t367) @t266)))))) % 0.46/0.88 (assume @p337 (forall (@list @t221 @t371 @t240 @t271) (=> @t372 (=> (forall @t275 (=> @t373 @t433)) (_ (_ tptp.ord_less_eq_set_a (_ @t598 @t241)) (_ (_ tptp.inf_inf_set_a @t371) @t272)))))) % 0.46/0.88 (assume @p338 @t617) % 0.46/0.88 (assume @p339 true) % 0.46/0.88 (step @p340 (= tptp.prefer1409946857od_a_a @t623) :rule refl :args (@t623)) % 0.46/0.88 (step @p341 (= tptp.prefer1710114912_set_a @t627) :rule refl :args (@t627)) % 0.46/0.88 (step @p342 (= tptp.prefer1338892073od_a_a @t633) :rule refl :args (@t633)) % 0.46/0.88 (step @p343 (= tptp.prefer1292084992ence_a @t643) :rule refl :args (@t643)) % 0.46/0.88 (step @p344 (= tptp.ord_le456379495od_a_a @t644) :rule refl :args (@t644)) % 0.46/0.88 (step @p345 (= tptp.ord_le318720350_set_a @t645) :rule refl :args (@t645)) % 0.46/0.88 (step @p346 (= tptp.ord_le1824328871od_a_a @t646) :rule refl :args (@t646)) % 0.46/0.88 (step @p347 (= tptp.ord_less_eq_set_a @t650) :rule refl :args (@t650)) % 0.46/0.88 (step @p348 (= tptp.total_on_a @t655) :rule refl :args (@t655)) % 0.46/0.88 (step @p349 (= tptp.bot_bo1293121322_a_a_o @t656) :rule refl :args (@t656)) % 0.46/0.88 (step @p350 (= tptp.bot_bot_a_o @t657) :rule refl :args (@t657)) % 0.46/0.88 (step @p351 (= tptp.prefer719835986ence_a @t658) :rule refl :args (@t658)) % 0.46/0.88 (step @p352 (= tptp.is_empty_a @t659) :rule refl :args (@t659)) % 0.46/0.88 (step @p353 (= tptp.trans_a @t661) :rule refl :args (@t661)) % 0.46/0.88 (step @p354 (= tptp.order_preorder_on_a @t662) :rule refl :args (@t662)) % 0.46/0.88 (step @p355 (= tptp.bNF_Ca850758276_set_a @t666) :rule refl :args (@t666)) % 0.46/0.88 (step @p356 :rule evaluate :args ((not true))) % 0.46/0.88 (step @p357 :rule quant-unused-vars :args ((= (forall @t260 true) true))) % 0.46/0.88 (step @p358 :rule bool-or-taut2 :args (false @t668 false false)) % 0.46/0.88 (step @p359 :rule cong :premises (@p358) :args ((forall @t260 (or @t669 @t668)))) % 0.46/0.88 (step @p360 :rule trans :premises (@p359 @p357)) % 0.46/0.88 (step @p361 :rule refl :args (@t667)) % 0.46/0.88 (step @p362 :rule refl :args (@t614)) % 0.46/0.88 (step @p363 :rule cong :premises (@p362 @p361) :args ((= @t614 @t667))) % 0.46/0.88 (step @p364 :rule symm :premises (@p363)) % 0.46/0.88 (step @p365 :rule eq_resolve :premises (@p362 @p364)) % 0.46/0.88 (step @p366 :rule refl :args (@t257)) % 0.46/0.88 (step @p367 :rule cong :premises (@p366 @p365) :args (@t670)) % 0.46/0.88 (step @p368 :rule refl :args (@t669)) % 0.46/0.88 (step @p369 :rule nary_cong :premises (@p368 @p367) :args (@t671)) % 0.46/0.88 (step @p370 :rule cong :premises (@p369) :args (@t672)) % 0.46/0.88 (step @p371 :rule trans :premises (@p370 @p360)) % 0.46/0.88 (step @p372 :rule beta-reduce :args ((= (_ (lambda @t674 (forall @t260 (or @t669 @t673))) @t614) @t672))) % 0.46/0.88 (step @p373 :rule trans :premises (@p372 @p371)) % 0.46/0.88 (step @p374 :rule refl :args (@t614)) % 0.46/0.88 (step @p375 :rule refl :args (@t673)) % 0.46/0.88 (step @p376 :rule cong :premises (@p367) :args (@t675)) % 0.46/0.88 (step @p377 :rule nary_cong :premises (@p376 @p375) :args (@t676)) % 0.46/0.88 (step @p378 :rule cong :premises (@p377) :args (@t677)) % 0.46/0.88 (step @p379 :rule cong :premises (@p378) :args (@t678)) % 0.46/0.88 (step @p380 :rule beta-reduce :args ((= @t680 @t678))) % 0.46/0.88 (step @p381 :rule trans :premises (@p380 @p379)) % 0.46/0.88 (step @p382 :rule ho_cong :premises (@p381 @p374)) % 0.46/0.88 (step @p383 :rule trans :premises (@p382 @p373)) % 0.46/0.88 (step @p384 :rule aci_norm :args ((= @t682 @t681))) % 0.46/0.88 (step @p385 :rule trans :premises (@p384 @p383)) % 0.46/0.88 (step @p386 :rule cong :premises (@p385) :args ((not @t682))) % 0.46/0.88 (step @p387 :rule trans :premises (@p386 @p356)) % 0.46/0.88 (step @p388 :rule refl :args (@t673)) % 0.46/0.88 (step @p389 :rule refl :args (@t647)) % 0.46/0.88 (step @p390 :rule cong :premises (@p389 @p388) :args ((= @t647 @t673))) % 0.46/0.88 (step @p391 :rule symm :premises (@p390)) % 0.46/0.88 (step @p392 :rule eq_resolve :premises (@p389 @p391)) % 0.46/0.88 (step @p393 :rule refl :args (@t679)) % 0.46/0.88 (step @p394 :rule refl :args (@t648)) % 0.46/0.88 (step @p395 :rule cong :premises (@p394 @p393) :args ((= @t648 @t679))) % 0.46/0.88 (step @p396 :rule symm :premises (@p395)) % 0.46/0.88 (step @p397 :rule eq_resolve :premises (@p394 @p396)) % 0.46/0.88 (step @p398 :rule cong :premises (@p397) :args (@t683)) % 0.46/0.88 (step @p399 :rule nary_cong :premises (@p398 @p392) :args (@t684)) % 0.46/0.88 (step @p400 :rule cong :premises (@p399) :args ((forall @t260 @t684))) % 0.46/0.88 (step @p401 :rule bool-impl-elim :args (@t648 @t647)) % 0.46/0.88 (step @p402 :rule cong :premises (@p401) :args (@t649)) % 0.46/0.88 (step @p403 :rule trans :premises (@p402 @p400)) % 0.46/0.88 (step @p404 :rule cong :premises (@p403) :args (@t650)) % 0.46/0.88 (step @p405 :rule trans :premises (@p347 @p404)) % 0.46/0.88 (step @p406 :rule ho_cong :premises (@p405 @p374)) % 0.46/0.88 (step @p407 :rule ho_cong :premises (@p406 @p374)) % 0.46/0.88 (step @p408 :rule nary_cong :premises (@p407 @p407) :args (@t616)) % 0.46/0.88 (step @p409 :rule cong :premises (@p408) :args (@t617)) % 0.46/0.88 (step @p410 :rule trans :premises (@p409 @p387)) % 0.46/0.88 (step @p411 false :rule eq_resolve :premises (@p338 @p410)) % 0.46/0.88 ) % 0.46/0.88 % SZS output end Proof % 0.46/0.88 % cvc5 exiting %------------------------------------------------------------------------------