%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP152^1 : 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 : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:25:12 AM UTC 2026 % Result : Theorem 0.47s 0.96s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP152^1 : 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 % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 04:16:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.37/0.63 %----Proving TH0 % 0.47/0.96 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.47/0.96 % SZS status Theorem % 0.47/0.96 % SZS output start Proof % 0.47/0.96 ( % 0.47/0.96 (declare-sort tptp.multis1735859763od_a_a 0) % 0.47/0.96 (declare-sort tptp.set_mu1281098573od_a_a 0) % 0.47/0.96 (declare-sort tptp.multiset_a 0) % 0.47/0.96 (declare-sort tptp.multiset_multiset_a 0) % 0.47/0.96 (declare-sort tptp.set_multiset_a 0) % 0.47/0.96 (declare-sort tptp.product_prod_a_a 0) % 0.47/0.96 (declare-sort tptp.multis599418605od_a_a 0) % 0.47/0.96 (declare-sort tptp.set_Product_prod_a_a 0) % 0.47/0.96 (declare-sort tptp.set_a 0) % 0.47/0.96 (declare-sort tptp.a 0) % 0.47/0.96 (declare-sort tptp.set_Pr1948701895od_a_a 0) % 0.47/0.96 (declare-sort tptp.set_Pr158363655iset_a 0) % 0.47/0.96 (declare-sort tptp.produc1572603623od_a_a 0) % 0.47/0.96 (declare-sort tptp.produc1127127335iset_a 0) % 0.47/0.96 (declare-sort tptp.produc2061001575od_a_a 0) % 0.47/0.96 (declare-sort tptp.set_Pr1821581383od_a_a 0) % 0.47/0.96 (declare-sort tptp.produc562496743od_a_a 0) % 0.47/0.96 (declare-sort tptp.set_Pr1930443975od_a_a 0) % 0.47/0.96 (declare-sort tptp.set_Pr1295299783od_a_a 0) % 0.47/0.96 (declare-sort tptp.set_Pr146455751iset_a 0) % 0.47/0.96 (declare-sort tptp.produc558600423iset_a 0) % 0.47/0.96 (declare-sort tptp.produc1990712039od_a_a 0) % 0.47/0.96 (declare-const tptp.order_491428350od_a_a (-> tptp.set_Pr1948701895od_a_a tptp.set_Pr1295299783od_a_a Bool)) % 0.47/0.96 (declare-const tptp.member2057358096od_a_a (-> tptp.produc1572603623od_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.47/0.96 (declare-const tptp.produc1935643479od_a_a (-> tptp.produc1572603623od_a_a tptp.produc1572603623od_a_a tptp.produc1990712039od_a_a)) % 0.47/0.96 (declare-const tptp.member1899387664od_a_a (-> tptp.produc1990712039od_a_a tptp.set_Pr1295299783od_a_a Bool)) % 0.47/0.96 (declare-const tptp.order_761691966iset_a (-> tptp.set_Pr158363655iset_a tptp.set_Pr146455751iset_a Bool)) % 0.47/0.96 (declare-const tptp.member340150864iset_a (-> tptp.produc1127127335iset_a tptp.set_Pr158363655iset_a Bool)) % 0.47/0.96 (declare-const tptp.produc1898392407iset_a (-> tptp.produc1127127335iset_a tptp.produc1127127335iset_a tptp.produc558600423iset_a)) % 0.47/0.96 (declare-const tptp.member567864080iset_a (-> tptp.produc558600423iset_a tptp.set_Pr146455751iset_a Bool)) % 0.47/0.96 (declare-const tptp.order_1210379134od_a_a (-> tptp.set_Pr1821581383od_a_a tptp.set_Pr1930443975od_a_a Bool)) % 0.47/0.96 (declare-const tptp.member1349055120od_a_a (-> tptp.produc2061001575od_a_a tptp.set_Pr1821581383od_a_a Bool)) % 0.47/0.96 (declare-const tptp.produc978545495od_a_a (-> tptp.produc2061001575od_a_a tptp.produc2061001575od_a_a tptp.produc562496743od_a_a)) % 0.47/0.96 (declare-const tptp.member2007374608od_a_a (-> tptp.produc562496743od_a_a tptp.set_Pr1930443975od_a_a Bool)) % 0.47/0.96 (declare-const tptp.order_750350043iset_a (-> tptp.set_multiset_a tptp.set_Pr158363655iset_a Bool)) % 0.47/0.96 (declare-const tptp.member_multiset_a (-> tptp.multiset_a tptp.set_multiset_a Bool)) % 0.47/0.96 (declare-const tptp.produc2037245207iset_a (-> tptp.multiset_a tptp.multiset_a tptp.produc1127127335iset_a)) % 0.47/0.96 (declare-const tptp.order_1040740996od_a_a (-> tptp.set_mu1281098573od_a_a tptp.set_Pr1821581383od_a_a Bool)) % 0.47/0.96 (declare-const tptp.member1755255446od_a_a (-> tptp.multis599418605od_a_a tptp.set_mu1281098573od_a_a Bool)) % 0.47/0.96 (declare-const tptp.produc1859144151od_a_a (-> tptp.multis599418605od_a_a tptp.multis599418605od_a_a tptp.produc2061001575od_a_a)) % 0.47/0.96 (declare-const tptp.refl_o1298442278od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.47/0.96 (declare-const tptp.member449909584od_a_a (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a Bool)) % 0.47/0.96 (declare-const tptp.produc1474507607od_a_a (-> tptp.product_prod_a_a tptp.product_prod_a_a tptp.produc1572603623od_a_a)) % 0.47/0.96 (declare-const tptp.refl_on_a (-> tptp.set_a tptp.set_Product_prod_a_a Bool)) % 0.47/0.96 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.47/0.96 (declare-const tptp.product_Pair_a_a (-> tptp.a tptp.a tptp.product_prod_a_a)) % 0.47/0.96 (declare-const tptp.prefer1064779160od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a Bool)) % 0.47/0.96 (declare-const tptp.prefer580340847ioms_a (-> tptp.set_a tptp.set_Product_prod_a_a Bool)) % 0.47/0.96 (declare-const tptp.top_top_set_a tptp.set_a) % 0.47/0.96 (declare-const tptp.top_to398455383od_a_a tptp.set_Product_prod_a_a) % 0.47/0.96 (declare-const tptp.product_fst_a_a (-> tptp.product_prod_a_a tptp.a)) % 0.47/0.96 (declare-const tptp.product_snd_a_a (-> tptp.product_prod_a_a tptp.a)) % 0.47/0.96 (declare-const tptp.minus_1257885652od_a_a (-> tptp.multis599418605od_a_a tptp.multis599418605od_a_a tptp.multis599418605od_a_a)) % 0.47/0.96 (declare-const tptp.minus_1649712171iset_a (-> tptp.multiset_a tptp.multiset_a tptp.multiset_a)) % 0.47/0.96 (declare-const tptp.fold_m773816523od_a_a (-> (-> tptp.multis599418605od_a_a tptp.multis599418605od_a_a tptp.multis599418605od_a_a) tptp.multis599418605od_a_a tptp.multis1735859763od_a_a tptp.multis599418605od_a_a)) % 0.47/0.96 (declare-const tptp.set_ms1869569194od_a_a (-> tptp.multis1735859763od_a_a tptp.set_mu1281098573od_a_a)) % 0.47/0.96 (declare-const tptp.fold_m382157835iset_a (-> (-> tptp.multiset_a tptp.multiset_a tptp.multiset_a) tptp.multiset_a tptp.multiset_multiset_a tptp.multiset_a)) % 0.47/0.96 (declare-const tptp.zero_z160849828od_a_a tptp.multis599418605od_a_a) % 0.47/0.96 (declare-const tptp.zero_zero_multiset_a tptp.multiset_a) % 0.47/0.96 (declare-const tptp.set_mset_a (-> tptp.multiset_a tptp.set_a)) % 0.47/0.96 (declare-const tptp.add_ms1725977093od_a_a (-> tptp.product_prod_a_a tptp.multis599418605od_a_a tptp.multis599418605od_a_a)) % 0.47/0.96 (declare-const tptp.plus_p404985124od_a_a (-> tptp.multis599418605od_a_a tptp.multis599418605od_a_a tptp.multis599418605od_a_a)) % 0.47/0.96 (declare-const tptp.same_fst_a_a (-> (-> tptp.a Bool) (-> tptp.a tptp.set_Product_prod_a_a) tptp.set_Pr1948701895od_a_a)) % 0.47/0.96 (declare-const tptp.ord_le1824328871od_a_a (-> tptp.set_Product_prod_a_a tptp.set_Product_prod_a_a Bool)) % 0.47/0.96 (declare-const tptp.produc700022774_a_a_a (-> (-> tptp.a tptp.a) (-> tptp.a tptp.a) tptp.product_prod_a_a tptp.product_prod_a_a)) % 0.47/0.96 (declare-const tptp.lex_prod_a_a (-> tptp.set_Product_prod_a_a tptp.set_Product_prod_a_a tptp.set_Pr1948701895od_a_a)) % 0.47/0.96 (declare-const tptp.image_1725938350od_a_a (-> (-> tptp.a tptp.product_prod_a_a) tptp.set_a tptp.set_Product_prod_a_a)) % 0.47/0.96 (declare-const tptp.image_a_a (-> (-> tptp.a tptp.a) tptp.set_a tptp.set_a)) % 0.47/0.96 (declare-const tptp.multp_a (-> (-> tptp.a tptp.a Bool) tptp.multiset_a tptp.multiset_a Bool)) % 0.47/0.96 (declare-const tptp.x tptp.a) % 0.47/0.96 (declare-const tptp.mult_a (-> tptp.set_Product_prod_a_a tptp.set_Pr158363655iset_a)) % 0.47/0.96 (declare-const tptp.image_794773445od_a_a (-> (-> tptp.product_prod_a_a tptp.product_prod_a_a) tptp.set_Product_prod_a_a tptp.set_Product_prod_a_a)) % 0.47/0.96 (declare-const tptp.produc734625720iset_a (-> (-> tptp.product_prod_a_a tptp.product_prod_a_a tptp.set_multiset_a) tptp.produc1572603623od_a_a tptp.set_multiset_a)) % 0.47/0.96 (declare-const tptp.produc2041367259od_a_a (-> (-> tptp.multiset_a tptp.multiset_a tptp.set_Product_prod_a_a) tptp.produc1127127335iset_a tptp.set_Product_prod_a_a)) % 0.47/0.96 (declare-const tptp.mult1_1719650714od_a_a (-> tptp.set_Pr1948701895od_a_a tptp.set_Pr1821581383od_a_a)) % 0.47/0.96 (declare-const tptp.produc869579762_set_a (-> (-> tptp.product_prod_a_a tptp.product_prod_a_a tptp.set_a) tptp.produc1572603623od_a_a tptp.set_a)) % 0.47/0.96 (declare-const tptp.set_mset_multiset_a (-> tptp.multiset_multiset_a tptp.set_multiset_a)) % 0.47/0.96 (declare-const tptp.produc93594587iset_a (-> (-> tptp.a tptp.a tptp.set_Pr158363655iset_a) tptp.product_prod_a_a tptp.set_Pr158363655iset_a)) % 0.47/0.96 (declare-const tptp.plus_plus_multiset_a (-> tptp.multiset_a tptp.multiset_a tptp.multiset_a)) % 0.47/0.96 (declare-const tptp.produc429414904iset_a (-> (-> tptp.multiset_a tptp.multiset_a tptp.set_multiset_a) tptp.produc1127127335iset_a tptp.set_multiset_a)) % 0.47/0.96 (declare-const tptp.y tptp.a) % 0.47/0.96 (declare-const tptp.produc1121147169od_a_a (-> (-> tptp.a tptp.a tptp.set_mu1281098573od_a_a) tptp.product_prod_a_a tptp.set_mu1281098573od_a_a)) % 0.47/0.96 (declare-const tptp.add_mset_a (-> tptp.a tptp.multiset_a tptp.multiset_a)) % 0.47/0.96 (declare-const tptp.produc747255346_set_a (-> (-> tptp.multiset_a tptp.multiset_a tptp.set_a) tptp.produc1127127335iset_a tptp.set_a)) % 0.47/0.96 (declare-const tptp.produc1828150264iset_a (-> (-> tptp.a tptp.a tptp.set_multiset_a) tptp.product_prod_a_a tptp.set_multiset_a)) % 0.47/0.96 (declare-const tptp.produc580150227_set_a (-> (-> tptp.product_prod_a_a tptp.set_a) tptp.a tptp.a tptp.set_a)) % 0.47/0.96 (declare-const tptp.image_340790172_a_a_a (-> (-> tptp.product_prod_a_a tptp.a) tptp.set_Product_prod_a_a tptp.set_a)) % 0.47/0.96 (declare-const tptp.produc143372156od_a_a (-> (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a) tptp.a tptp.a tptp.set_Product_prod_a_a)) % 0.47/0.96 (declare-const tptp.produc748978966_a_a_o (-> (-> tptp.a tptp.a Bool) tptp.product_prod_a_a Bool)) % 0.47/0.96 (declare-const tptp.produc694541532_set_a (-> (-> tptp.a tptp.a tptp.set_a) tptp.product_prod_a_a tptp.set_a)) % 0.47/0.96 (declare-const tptp.set_ms1818337124od_a_a (-> tptp.multis599418605od_a_a tptp.set_Product_prod_a_a)) % 0.47/0.96 (declare-const tptp.produc961951794_set_a (-> (-> tptp.a tptp.a tptp.set_a) tptp.product_prod_a_a tptp.set_a)) % 0.47/0.96 (declare-const tptp.produc1653225349od_a_a (-> (-> tptp.a tptp.a tptp.set_Product_prod_a_a) tptp.product_prod_a_a tptp.set_Product_prod_a_a)) % 0.47/0.96 (declare-const tptp.collec1104713362iset_a (-> (-> tptp.produc1127127335iset_a Bool) tptp.set_Pr158363655iset_a)) % 0.47/0.96 (declare-const tptp.inv_im343774418iset_a (-> tptp.set_Pr158363655iset_a (-> tptp.multiset_a tptp.multiset_a) tptp.set_Pr158363655iset_a)) % 0.47/0.96 (declare-const tptp.refl_o581572716od_a_a (-> tptp.set_mu1281098573od_a_a tptp.set_Pr1821581383od_a_a Bool)) % 0.47/0.96 (declare-const tptp.produc1833107820_a_a_o (-> (-> tptp.a tptp.a Bool) tptp.product_prod_a_a Bool)) % 0.47/0.96 (declare-const tptp.carrier tptp.set_a) % 0.47/0.96 (declare-const tptp.total_1340260971od_a_a (-> tptp.set_Pr1948701895od_a_a tptp.set_Pr1295299783od_a_a Bool)) % 0.47/0.96 (declare-const tptp.refl_on_multiset_a (-> tptp.set_multiset_a tptp.set_Pr158363655iset_a Bool)) % 0.47/0.96 (declare-const tptp.prefer1669415233od_a_a (-> tptp.set_mu1281098573od_a_a tptp.set_Pr1821581383od_a_a Bool)) % 0.47/0.96 (declare-const tptp.inv_image_a_a (-> tptp.set_Product_prod_a_a (-> tptp.a tptp.a) tptp.set_Product_prod_a_a)) % 0.47/0.96 (declare-const tptp.total_313747627iset_a (-> tptp.set_Pr158363655iset_a tptp.set_Pr146455751iset_a Bool)) % 0.47/0.96 (declare-const tptp.mult1_a (-> tptp.set_Product_prod_a_a tptp.set_Pr158363655iset_a)) % 0.47/0.96 (declare-const tptp.relation tptp.set_Product_prod_a_a) % 0.47/0.96 (declare-const tptp.total_1170533099od_a_a (-> tptp.set_Pr1821581383od_a_a tptp.set_Pr1930443975od_a_a Bool)) % 0.47/0.96 (declare-const tptp.produc1093061851od_a_a (-> (-> tptp.a tptp.a tptp.set_Product_prod_a_a) tptp.product_prod_a_a tptp.set_Product_prod_a_a)) % 0.47/0.96 (declare-const tptp.collec8264402od_a_a (-> (-> tptp.produc2061001575od_a_a Bool) tptp.set_Pr1821581383od_a_a)) % 0.47/0.96 (declare-const tptp.inv_im479034648iset_a (-> tptp.set_Product_prod_a_a (-> tptp.multiset_a tptp.a) tptp.set_Pr158363655iset_a)) % 0.47/0.96 (declare-const tptp.collect_multiset_a (-> (-> tptp.multiset_a Bool) tptp.set_multiset_a)) % 0.47/0.96 (declare-const tptp.produc94438221_a_a_o (-> (-> tptp.produc1572603623od_a_a Bool) tptp.product_prod_a_a tptp.product_prod_a_a Bool)) % 0.47/0.96 (declare-const tptp.prefer1828051771od_a_a (-> tptp.set_Pr1948701895od_a_a tptp.set_Pr1295299783od_a_a Bool)) % 0.47/0.96 (declare-const tptp.refl_o198693862od_a_a (-> tptp.set_Pr1948701895od_a_a tptp.set_Pr1295299783od_a_a Bool)) % 0.47/0.96 (declare-const tptp.prefer841781627iset_a (-> tptp.set_Pr158363655iset_a tptp.set_Pr146455751iset_a Bool)) % 0.47/0.96 (declare-const tptp.refl_o1522155814iset_a (-> tptp.set_Pr158363655iset_a tptp.set_Pr146455751iset_a Bool)) % 0.47/0.96 (declare-const tptp.prefer933983163od_a_a (-> tptp.set_Pr1821581383od_a_a tptp.set_Pr1930443975od_a_a Bool)) % 0.47/0.96 (declare-const tptp.collec1948052440od_a_a (-> (-> tptp.multis599418605od_a_a Bool) tptp.set_mu1281098573od_a_a)) % 0.47/0.96 (declare-const tptp.collec1635618130od_a_a (-> (-> tptp.produc1572603623od_a_a Bool) tptp.set_Pr1948701895od_a_a)) % 0.47/0.96 (declare-const tptp.produc1530159757et_a_o (-> (-> tptp.produc1127127335iset_a Bool) tptp.multiset_a tptp.multiset_a Bool)) % 0.47/0.96 (declare-const tptp.refl_o102522214od_a_a (-> tptp.set_Pr1821581383od_a_a tptp.set_Pr1930443975od_a_a Bool)) % 0.47/0.96 (declare-const tptp.prefer1779827352iset_a (-> tptp.set_multiset_a tptp.set_Pr158363655iset_a Bool)) % 0.47/0.96 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.47/0.96 (declare-const tptp.prefer2130004608iset_a (-> tptp.multiset_a tptp.set_multiset_a tptp.set_Pr158363655iset_a tptp.set_multiset_a)) % 0.47/0.96 (declare-const tptp.collec645855634od_a_a (-> (-> tptp.product_prod_a_a Bool) tptp.set_Product_prod_a_a)) % 0.47/0.96 (declare-const tptp.prefer1191731497od_a_a (-> tptp.multis599418605od_a_a tptp.set_mu1281098573od_a_a tptp.set_Pr1821581383od_a_a tptp.set_mu1281098573od_a_a)) % 0.47/0.96 (declare-const tptp.produc1913956215od_a_a (-> tptp.produc2061001575od_a_a tptp.produc2061001575od_a_a)) % 0.47/0.96 (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)) % 0.47/0.96 (declare-const tptp.prefer619498851iset_a (-> tptp.produc1127127335iset_a tptp.set_Pr158363655iset_a tptp.set_Pr146455751iset_a tptp.set_Pr158363655iset_a)) % 0.47/0.96 (declare-const tptp.inv_im941243329od_a_a (-> tptp.set_Product_prod_a_a (-> tptp.multis599418605od_a_a tptp.a) tptp.set_Pr1821581383od_a_a)) % 0.47/0.96 (declare-const tptp.prefer737894307od_a_a (-> tptp.produc2061001575od_a_a tptp.set_Pr1821581383od_a_a tptp.set_Pr1930443975od_a_a tptp.set_Pr1821581383od_a_a)) % 0.47/0.96 (declare-const tptp.inv_im975322764et_a_a (-> tptp.set_Pr158363655iset_a (-> tptp.a tptp.multiset_a) tptp.set_Product_prod_a_a)) % 0.47/0.96 (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)) % 0.47/0.96 (declare-const tptp.inv_im777352425_a_a_a (-> tptp.set_Pr1948701895od_a_a (-> tptp.a tptp.product_prod_a_a) tptp.set_Product_prod_a_a)) % 0.47/0.96 (declare-const tptp.prefer161218362good_a (-> tptp.a tptp.set_a tptp.set_Product_prod_a_a tptp.set_a)) % 0.47/0.96 (declare-const tptp.produc1548936141_a_a_o (-> (-> tptp.produc2061001575od_a_a Bool) tptp.multis599418605od_a_a tptp.multis599418605od_a_a Bool)) % 0.47/0.96 (declare-const tptp.produc506430135iset_a (-> tptp.produc1127127335iset_a tptp.produc1127127335iset_a)) % 0.47/0.96 (declare-const tptp.inv_im15016955od_a_a (-> tptp.set_Product_prod_a_a (-> tptp.product_prod_a_a tptp.a) tptp.set_Pr1948701895od_a_a)) % 0.47/0.96 (declare-const tptp.inv_im1681759523_a_a_a (-> tptp.set_Pr1821581383od_a_a (-> tptp.a tptp.multis599418605od_a_a) tptp.set_Product_prod_a_a)) % 0.47/0.96 (declare-const tptp.ord_less_eq_set_a (-> tptp.set_a tptp.set_a Bool)) % 0.47/0.96 (declare-const tptp.inv_im1716587189od_a_a (-> tptp.set_Pr158363655iset_a (-> tptp.product_prod_a_a tptp.multiset_a) tptp.set_Pr1948701895od_a_a)) % 0.47/0.96 (declare-const tptp.inv_im184450735iset_a (-> tptp.set_Pr1948701895od_a_a (-> tptp.multiset_a tptp.product_prod_a_a) tptp.set_Pr158363655iset_a)) % 0.47/0.96 (declare-const tptp.produc1641853175od_a_a (-> tptp.produc1572603623od_a_a tptp.produc1572603623od_a_a)) % 0.47/0.96 (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 "Y4" tptp.produc1572603623od_a_a))) (let ((_let_4 (@var "X4" 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)))))))))) % 0.47/0.96 (define tptp.prefer1608839465iset_a () (let ((_let_1 (@var "Relation2" tptp.set_Pr146455751iset_a))) (let ((_let_2 (@var "Carrier2" tptp.set_Pr158363655iset_a))) (let ((_let_3 (@var "Y4" tptp.produc1127127335iset_a))) (let ((_let_4 (@var "X4" tptp.produc1127127335iset_a))) (let ((_let_5 (_ (_ tptp.member567864080iset_a (_ (_ tptp.produc1898392407iset_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.member340150864iset_a _let_4) _let_2))) (forall _let_6 (=> _let_5 (_ (_ tptp.member340150864iset_a _let_3) _let_2))) (_ (_ tptp.order_761691966iset_a _let_2) _let_1)))))))))) % 0.47/0.96 (define tptp.prefer273553257od_a_a () (let ((_let_1 (@var "Relation2" tptp.set_Pr1930443975od_a_a))) (let ((_let_2 (@var "Carrier2" tptp.set_Pr1821581383od_a_a))) (let ((_let_3 (@var "Y4" tptp.produc2061001575od_a_a))) (let ((_let_4 (@var "X4" tptp.produc2061001575od_a_a))) (let ((_let_5 (_ (_ tptp.member2007374608od_a_a (_ (_ tptp.produc978545495od_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.member1349055120od_a_a _let_4) _let_2))) (forall _let_6 (=> _let_5 (_ (_ tptp.member1349055120od_a_a _let_3) _let_2))) (_ (_ tptp.order_1210379134od_a_a _let_2) _let_1)))))))))) % 0.47/0.96 (define tptp.prefer1571048262iset_a () (let ((_let_1 (@var "Relation2" tptp.set_Pr158363655iset_a))) (let ((_let_2 (@var "Carrier2" tptp.set_multiset_a))) (let ((_let_3 (@var "Y4" tptp.multiset_a))) (let ((_let_4 (@var "X4" tptp.multiset_a))) (let ((_let_5 (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_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_multiset_a _let_4) _let_2))) (forall _let_6 (=> _let_5 (_ (_ tptp.member_multiset_a _let_3) _let_2))) (_ (_ tptp.order_750350043iset_a _let_2) _let_1)))))))))) % 0.47/0.96 (define tptp.prefer1340910575od_a_a () (let ((_let_1 (@var "Relation2" tptp.set_Pr1821581383od_a_a))) (let ((_let_2 (@var "Carrier2" tptp.set_mu1281098573od_a_a))) (let ((_let_3 (@var "Y4" tptp.multis599418605od_a_a))) (let ((_let_4 (@var "X4" tptp.multis599418605od_a_a))) (let ((_let_5 (_ (_ tptp.member1349055120od_a_a (_ (_ tptp.produc1859144151od_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.member1755255446od_a_a _let_4) _let_2))) (forall _let_6 (=> _let_5 (_ (_ tptp.member1755255446od_a_a _let_3) _let_2))) (_ (_ tptp.order_1040740996od_a_a _let_2) _let_1)))))))))) % 0.47/0.96 (define tptp.trans_972827014od_a_a () (let ((_let_1 (@var "R" tptp.set_Pr1948701895od_a_a))) (let ((_let_2 (@var "Z2" tptp.product_prod_a_a))) (let ((_let_3 (@var "X4" tptp.product_prod_a_a))) (let ((_let_4 (_ tptp.produc1474507607od_a_a _let_3))) (let ((_let_5 (@var "Y4" tptp.product_prod_a_a))) (lambda (@list _let_1) (forall (@list _let_3 _let_5 _let_2) (=> (_ (_ tptp.member2057358096od_a_a (_ _let_4 _let_5)) _let_1) (=> (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a _let_5) _let_2)) _let_1) (_ (_ tptp.member2057358096od_a_a (_ _let_4 _let_2)) _let_1))))))))))) % 0.47/0.96 (define tptp.order_359341630od_a_a () (let ((_let_1 (@var "R" tptp.set_Pr1948701895od_a_a))) (let ((_let_2 (@var "A4" tptp.set_Product_prod_a_a))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.refl_o1298442278od_a_a _let_2) _let_1) (_ tptp.trans_972827014od_a_a _let_1)))))) % 0.47/0.96 (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 "Y4" tptp.product_prod_a_a))) (let ((_let_4 (@var "X4" 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)))))))))) % 0.47/0.96 (define tptp.trans_a () (let ((_let_1 (@var "R" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "Z2" tptp.a))) (let ((_let_3 (@var "X4" tptp.a))) (let ((_let_4 (_ tptp.product_Pair_a_a _let_3))) (let ((_let_5 (@var "Y4" 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))))))))))) % 0.47/0.96 (define tptp.order_preorder_on_a () (let ((_let_1 (@var "R" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "A4" tptp.set_a))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.refl_on_a _let_2) _let_1) (_ tptp.trans_a _let_1)))))) % 0.47/0.96 (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 "Y4" tptp.a))) (let ((_let_4 (@var "X4" 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)))))))))) % 0.47/0.96 (define tptp.total_on_multiset_a () (let ((_let_1 (@var "R" tptp.set_Pr158363655iset_a))) (let ((_let_2 (@var "X4" tptp.multiset_a))) (let ((_let_3 (@var "Y4" tptp.multiset_a))) (let ((_let_4 (@var "A4" tptp.set_multiset_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.member_multiset_a _let_2) _let_4) (forall (@list _let_3) (=> (_ (_ tptp.member_multiset_a _let_3) _let_4) (=> (not (= _let_2 _let_3)) (or (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a _let_2) _let_3)) _let_1) (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a _let_3) _let_2)) _let_1))))))))))))) % 0.47/0.96 (define tptp.total_1024184433od_a_a () (let ((_let_1 (@var "R" tptp.set_Pr1821581383od_a_a))) (let ((_let_2 (@var "X4" tptp.multis599418605od_a_a))) (let ((_let_3 (@var "Y4" tptp.multis599418605od_a_a))) (let ((_let_4 (@var "A4" tptp.set_mu1281098573od_a_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.member1755255446od_a_a _let_2) _let_4) (forall (@list _let_3) (=> (_ (_ tptp.member1755255446od_a_a _let_3) _let_4) (=> (not (= _let_2 _let_3)) (or (_ (_ tptp.member1349055120od_a_a (_ (_ tptp.produc1859144151od_a_a _let_2) _let_3)) _let_1) (_ (_ tptp.member1349055120od_a_a (_ (_ tptp.produc1859144151od_a_a _let_3) _let_2)) _let_1))))))))))))) % 0.47/0.96 (define tptp.total_1490170027od_a_a () (let ((_let_1 (@var "R" tptp.set_Pr1948701895od_a_a))) (let ((_let_2 (@var "X4" tptp.product_prod_a_a))) (let ((_let_3 (@var "Y4" tptp.product_prod_a_a))) (let ((_let_4 (@var "A4" tptp.set_Product_prod_a_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.member449909584od_a_a _let_2) _let_4) (forall (@list _let_3) (=> (_ (_ tptp.member449909584od_a_a _let_3) _let_4) (=> (not (= _let_2 _let_3)) (or (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a _let_2) _let_3)) _let_1) (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a _let_3) _let_2)) _let_1))))))))))))) % 0.47/0.96 (define tptp.total_on_a () (let ((_let_1 (@var "R" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "X4" tptp.a))) (let ((_let_3 (@var "Y4" tptp.a))) (let ((_let_4 (@var "A4" tptp.set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.member_a _let_2) _let_4) (forall (@list _let_3) (=> (_ (_ tptp.member_a _let_3) _let_4) (=> (not (= _let_2 _let_3)) (or (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a _let_2) _let_3)) _let_1) (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a _let_3) _let_2)) _let_1))))))))))))) % 0.47/0.96 (define tptp.trans_multiset_a () (let ((_let_1 (@var "R" tptp.set_Pr158363655iset_a))) (let ((_let_2 (@var "Z2" tptp.multiset_a))) (let ((_let_3 (@var "X4" tptp.multiset_a))) (let ((_let_4 (_ tptp.produc2037245207iset_a _let_3))) (let ((_let_5 (@var "Y4" tptp.multiset_a))) (lambda (@list _let_1) (forall (@list _let_3 _let_5 _let_2) (=> (_ (_ tptp.member340150864iset_a (_ _let_4 _let_5)) _let_1) (=> (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a _let_5) _let_2)) _let_1) (_ (_ tptp.member340150864iset_a (_ _let_4 _let_2)) _let_1))))))))))) % 0.47/0.96 (define tptp.trans_1520871884od_a_a () (let ((_let_1 (@var "R" tptp.set_Pr1821581383od_a_a))) (let ((_let_2 (@var "Z2" tptp.multis599418605od_a_a))) (let ((_let_3 (@var "X4" tptp.multis599418605od_a_a))) (let ((_let_4 (_ tptp.produc1859144151od_a_a _let_3))) (let ((_let_5 (@var "Y4" tptp.multis599418605od_a_a))) (lambda (@list _let_1) (forall (@list _let_3 _let_5 _let_2) (=> (_ (_ tptp.member1349055120od_a_a (_ _let_4 _let_5)) _let_1) (=> (_ (_ tptp.member1349055120od_a_a (_ (_ tptp.produc1859144151od_a_a _let_5) _let_2)) _let_1) (_ (_ tptp.member1349055120od_a_a (_ _let_4 _let_2)) _let_1))))))))))) % 0.47/0.96 (define tptp.prefer697821563od_a_a () (let ((_let_1 (@var "Relation2" tptp.set_Pr1948701895od_a_a))) (let ((_let_2 (@var "Carrier2" tptp.set_Product_prod_a_a))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.prefer1338892073od_a_a _let_2) _let_1) (_ (_ tptp.prefer1064779160od_a_a _let_2) _let_1)))))) % 0.47/0.96 (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)))))) % 0.47/0.96 (define tptp.product_curry_a_a_o () (let ((_let_1 (@var "B5" tptp.a))) (let ((_let_2 (@var "A6" tptp.a))) (let ((_let_3 (@var "F" (-> tptp.product_prod_a_a Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ _let_3 (_ (_ tptp.product_Pair_a_a _let_2) _let_1))))))) % 0.47/0.96 (define tptp.irrefl76447196od_a_a () (let ((_let_1 (@var "R" tptp.set_Pr1948701895od_a_a))) (let ((_let_2 (@var "A6" tptp.product_prod_a_a))) (lambda (@list _let_1) (forall (@list _let_2) (not (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a _let_2) _let_2)) _let_1))))))) % 0.47/0.96 (define tptp.order_1505515173od_a_a () (let ((_let_1 (@var "R" tptp.set_Pr1948701895od_a_a))) (let ((_let_2 (@var "A4" tptp.set_Product_prod_a_a))) (lambda (@list _let_2 _let_1) (and (_ tptp.trans_972827014od_a_a _let_1) (_ tptp.irrefl76447196od_a_a _let_1) (_ (_ tptp.total_1490170027od_a_a _let_2) _let_1)))))) % 0.47/0.96 (define tptp.irrefl_a () (let ((_let_1 (@var "R" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "A6" tptp.a))) (lambda (@list _let_1) (forall (@list _let_2) (not (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a _let_2) _let_2)) _let_1))))))) % 0.47/0.96 (define tptp.order_1558116988r_on_a () (let ((_let_1 (@var "R" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "A4" tptp.set_a))) (lambda (@list _let_2 _let_1) (and (_ tptp.trans_a _let_1) (_ tptp.irrefl_a _let_1) (_ (_ tptp.total_on_a _let_2) _let_1)))))) % 0.47/0.96 (define tptp.irrefl_multiset_a () (let ((_let_1 (@var "R" tptp.set_Pr158363655iset_a))) (let ((_let_2 (@var "A6" tptp.multiset_a))) (lambda (@list _let_1) (forall (@list _let_2) (not (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a _let_2) _let_2)) _let_1))))))) % 0.47/0.96 (define tptp.irrefl1672195874od_a_a () (let ((_let_1 (@var "R" tptp.set_Pr1821581383od_a_a))) (let ((_let_2 (@var "A6" tptp.multis599418605od_a_a))) (lambda (@list _let_1) (forall (@list _let_2) (not (_ (_ tptp.member1349055120od_a_a (_ (_ tptp.produc1859144151od_a_a _let_2) _let_2)) _let_1))))))) % 0.47/0.96 (define tptp.asym_a () (let ((_let_1 (@var "R5" tptp.set_Product_prod_a_a))) (let ((_let_2 (@var "X4" tptp.a))) (let ((_let_3 (@var "Y4" tptp.a))) (let ((_let_4 (@var "A6" tptp.set_Product_prod_a_a))) (lambda (@list _let_4) (exists (@list _let_1) (and (= _let_4 _let_1) (forall (@list _let_2 _let_3) (=> (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a _let_2) _let_3)) _let_1) (not (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a _let_3) _let_2)) _let_1)))))))))))) % 0.47/0.96 (define tptp.top_top_a_o () (let ((_let_1 (@var "X4" tptp.a))) (lambda (@list _let_1) (_ (_ tptp.member_a _let_1) tptp.top_top_set_a)))) % 0.47/0.96 (define tptp.top_to1483957574_a_a_o () (let ((_let_1 (@var "X4" tptp.product_prod_a_a))) (lambda (@list _let_1) (_ (_ tptp.member449909584od_a_a _let_1) tptp.top_to398455383od_a_a)))) % 0.47/0.96 (define tptp.product_swap_a_a () (let ((_let_1 (@var "P3" tptp.product_prod_a_a))) (lambda (@list _let_1) (_ (_ tptp.product_Pair_a_a (_ tptp.product_snd_a_a _let_1)) (_ tptp.product_fst_a_a _let_1))))) % 0.47/0.96 (define @t1 () (@var "X" tptp.a)) % 0.47/0.96 (define @t2 () (@var "Z" tptp.a)) % 0.47/0.96 (define @t3 () (_ tptp.product_Pair_a_a @t2)) % 0.47/0.96 (define @t4 () (_ tptp.member449909584od_a_a (_ @t3 @t1))) % 0.47/0.96 (define @t5 () (_ @t4 tptp.relation)) % 0.47/0.96 (define @t6 () (_ tptp.product_Pair_a_a @t1)) % 0.47/0.96 (define @t7 () (_ tptp.member449909584od_a_a (_ @t6 @t2))) % 0.47/0.96 (define @t8 () (_ @t7 tptp.relation)) % 0.47/0.96 (define @t9 () (@var "Y" tptp.a)) % 0.47/0.96 (define @t10 () (_ tptp.member449909584od_a_a (_ @t3 @t9))) % 0.47/0.96 (define @t11 () (_ @t10 tptp.relation)) % 0.47/0.96 (define @t12 () (_ tptp.product_Pair_a_a @t9)) % 0.47/0.96 (define @t13 () (_ @t12 @t2)) % 0.47/0.96 (define @t14 () (_ tptp.member449909584od_a_a @t13)) % 0.47/0.96 (define @t15 () (_ @t14 tptp.relation)) % 0.47/0.96 (define @t16 () (_ @t12 @t1)) % 0.47/0.96 (define @t17 () (_ tptp.member449909584od_a_a @t16)) % 0.47/0.96 (define @t18 () (_ @t17 tptp.relation)) % 0.47/0.96 (define @t19 () (_ @t6 @t9)) % 0.47/0.96 (define @t20 () (_ tptp.member449909584od_a_a @t19)) % 0.47/0.96 (define @t21 () (_ @t20 tptp.relation)) % 0.47/0.96 (define @t22 () (@list @t1 @t9 @t2)) % 0.47/0.96 (define @t23 () (not @t18)) % 0.47/0.96 (define @t24 () (and @t21 @t23)) % 0.47/0.96 (define @t25 () (@var "X2" tptp.a)) % 0.47/0.96 (define @t26 () (@var "Xa" tptp.a)) % 0.47/0.96 (define @t27 () (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t26) @t25))) % 0.47/0.96 (define @t28 () (_ tptp.product_Pair_a_a @t25)) % 0.47/0.96 (define @t29 () (_ tptp.member449909584od_a_a (_ @t28 @t26))) % 0.47/0.96 (define @t30 () (_ tptp.member_a @t26)) % 0.47/0.96 (define @t31 () (@list @t26)) % 0.47/0.96 (define @t32 () (_ tptp.member_a @t25)) % 0.47/0.96 (define @t33 () (@list @t25)) % 0.47/0.96 (define @t34 () (_ tptp.member_a @t1)) % 0.47/0.96 (define @t35 () (_ @t34 tptp.carrier)) % 0.47/0.96 (define @t36 () (@list @t1 @t9)) % 0.47/0.96 (define @t37 () (_ tptp.member_a @t9)) % 0.47/0.96 (define @t38 () (_ tptp.refl_on_a tptp.carrier)) % 0.47/0.96 (define @t39 () (_ @t38 tptp.relation)) % 0.47/0.96 (define @t40 () (@var "Y2" tptp.product_prod_a_a)) % 0.47/0.96 (define @t41 () (@var "X22" tptp.product_prod_a_a)) % 0.47/0.96 (define @t42 () (@var "Y1" tptp.product_prod_a_a)) % 0.47/0.96 (define @t43 () (@var "X1" tptp.product_prod_a_a)) % 0.47/0.96 (define @t44 () (@var "Y2" tptp.multiset_a)) % 0.47/0.96 (define @t45 () (@var "X22" tptp.multiset_a)) % 0.47/0.96 (define @t46 () (@var "Y1" tptp.multiset_a)) % 0.47/0.96 (define @t47 () (@var "X1" tptp.multiset_a)) % 0.47/0.96 (define @t48 () (@var "Y2" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t49 () (@var "X22" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t50 () (@var "Y1" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t51 () (@var "X1" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t52 () (@var "Y2" tptp.a)) % 0.47/0.96 (define @t53 () (@var "X22" tptp.a)) % 0.47/0.96 (define @t54 () (@var "Y1" tptp.a)) % 0.47/0.96 (define @t55 () (@var "X1" tptp.a)) % 0.47/0.96 (define @t56 () (_ (_ tptp.product_Pair_a_a @t55) @t53)) % 0.47/0.96 (define @t57 () (@var "B2" tptp.product_prod_a_a)) % 0.47/0.96 (define @t58 () (@var "B" tptp.product_prod_a_a)) % 0.47/0.96 (define @t59 () (= @t58 @t57)) % 0.47/0.96 (define @t60 () (@var "A2" tptp.product_prod_a_a)) % 0.47/0.96 (define @t61 () (@var "A" tptp.product_prod_a_a)) % 0.47/0.96 (define @t62 () (= @t61 @t60)) % 0.47/0.96 (define @t63 () (_ tptp.produc1474507607od_a_a @t61)) % 0.47/0.96 (define @t64 () (_ @t63 @t58)) % 0.47/0.96 (define @t65 () (= @t64 (_ (_ tptp.produc1474507607od_a_a @t60) @t57))) % 0.47/0.96 (define @t66 () (@list @t61 @t58 @t60 @t57)) % 0.47/0.96 (define @t67 () (@var "B2" tptp.multiset_a)) % 0.47/0.96 (define @t68 () (@var "B" tptp.multiset_a)) % 0.47/0.96 (define @t69 () (= @t68 @t67)) % 0.47/0.96 (define @t70 () (@var "A2" tptp.multiset_a)) % 0.47/0.96 (define @t71 () (@var "A" tptp.multiset_a)) % 0.47/0.96 (define @t72 () (= @t71 @t70)) % 0.47/0.96 (define @t73 () (_ tptp.produc2037245207iset_a @t71)) % 0.47/0.96 (define @t74 () (_ @t73 @t68)) % 0.47/0.96 (define @t75 () (= @t74 (_ (_ tptp.produc2037245207iset_a @t70) @t67))) % 0.47/0.96 (define @t76 () (@list @t71 @t68 @t70 @t67)) % 0.47/0.96 (define @t77 () (@var "B2" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t78 () (@var "B" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t79 () (= @t78 @t77)) % 0.47/0.96 (define @t80 () (@var "A2" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t81 () (@var "A" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t82 () (= @t81 @t80)) % 0.47/0.96 (define @t83 () (_ tptp.produc1859144151od_a_a @t81)) % 0.47/0.96 (define @t84 () (_ @t83 @t78)) % 0.47/0.96 (define @t85 () (= @t84 (_ (_ tptp.produc1859144151od_a_a @t80) @t77))) % 0.47/0.96 (define @t86 () (@list @t81 @t78 @t80 @t77)) % 0.47/0.96 (define @t87 () (@var "B2" tptp.a)) % 0.47/0.96 (define @t88 () (@var "B" tptp.a)) % 0.47/0.96 (define @t89 () (= @t88 @t87)) % 0.47/0.96 (define @t90 () (@var "A2" tptp.a)) % 0.47/0.96 (define @t91 () (@var "A" tptp.a)) % 0.47/0.96 (define @t92 () (= @t91 @t90)) % 0.47/0.96 (define @t93 () (_ (_ tptp.product_Pair_a_a @t90) @t87)) % 0.47/0.96 (define @t94 () (_ tptp.product_Pair_a_a @t91)) % 0.47/0.96 (define @t95 () (_ @t94 @t88)) % 0.47/0.96 (define @t96 () (= @t95 @t93)) % 0.47/0.96 (define @t97 () (@list @t91 @t88 @t90 @t87)) % 0.47/0.96 (define @t98 () (@var "Y3" tptp.product_prod_a_a)) % 0.47/0.96 (define @t99 () (@var "X3" tptp.product_prod_a_a)) % 0.47/0.96 (define @t100 () (_ tptp.produc1474507607od_a_a @t99)) % 0.47/0.96 (define @t101 () (_ @t100 @t98)) % 0.47/0.96 (define @t102 () (@var "P" tptp.produc1572603623od_a_a)) % 0.47/0.96 (define @t103 () (= @t102 @t101)) % 0.47/0.96 (define @t104 () (@list @t99 @t98)) % 0.47/0.96 (define @t105 () (@var "Y3" tptp.multiset_a)) % 0.47/0.96 (define @t106 () (@var "X3" tptp.multiset_a)) % 0.47/0.96 (define @t107 () (_ tptp.produc2037245207iset_a @t106)) % 0.47/0.96 (define @t108 () (_ @t107 @t105)) % 0.47/0.96 (define @t109 () (@var "P" tptp.produc1127127335iset_a)) % 0.47/0.96 (define @t110 () (= @t109 @t108)) % 0.47/0.96 (define @t111 () (@list @t106 @t105)) % 0.47/0.96 (define @t112 () (@var "Y3" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t113 () (@var "X3" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t114 () (_ tptp.produc1859144151od_a_a @t113)) % 0.47/0.96 (define @t115 () (_ @t114 @t112)) % 0.47/0.96 (define @t116 () (@var "P" tptp.produc2061001575od_a_a)) % 0.47/0.96 (define @t117 () (@list @t113 @t112)) % 0.47/0.96 (define @t118 () (@var "Y3" tptp.a)) % 0.47/0.96 (define @t119 () (@var "X3" tptp.a)) % 0.47/0.96 (define @t120 () (_ tptp.product_Pair_a_a @t119)) % 0.47/0.96 (define @t121 () (_ @t120 @t118)) % 0.47/0.96 (define @t122 () (@var "P" tptp.product_prod_a_a)) % 0.47/0.96 (define @t123 () (= @t122 @t121)) % 0.47/0.96 (define @t124 () (@list @t119 @t118)) % 0.47/0.96 (define @t125 () (@list @t122)) % 0.47/0.96 (define @t126 () (@var "P2" (-> tptp.produc1572603623od_a_a Bool))) % 0.47/0.96 (define @t127 () (@var "B3" tptp.product_prod_a_a)) % 0.47/0.96 (define @t128 () (@var "A3" tptp.product_prod_a_a)) % 0.47/0.96 (define @t129 () (_ tptp.produc1474507607od_a_a @t128)) % 0.47/0.96 (define @t130 () (_ @t129 @t127)) % 0.47/0.96 (define @t131 () (@list @t128 @t127)) % 0.47/0.96 (define @t132 () (forall @t131 (_ @t126 @t130))) % 0.47/0.96 (define @t133 () (@var "P2" (-> tptp.produc1127127335iset_a Bool))) % 0.47/0.96 (define @t134 () (@var "B3" tptp.multiset_a)) % 0.47/0.96 (define @t135 () (@var "A3" tptp.multiset_a)) % 0.47/0.96 (define @t136 () (_ tptp.produc2037245207iset_a @t135)) % 0.47/0.96 (define @t137 () (_ @t136 @t134)) % 0.47/0.96 (define @t138 () (@list @t135 @t134)) % 0.47/0.96 (define @t139 () (forall @t138 (_ @t133 @t137))) % 0.47/0.96 (define @t140 () (@var "P2" (-> tptp.produc2061001575od_a_a Bool))) % 0.47/0.96 (define @t141 () (@var "B3" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t142 () (@var "A3" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t143 () (_ tptp.produc1859144151od_a_a @t142)) % 0.47/0.96 (define @t144 () (_ @t143 @t141)) % 0.47/0.96 (define @t145 () (@list @t142 @t141)) % 0.47/0.96 (define @t146 () (forall @t145 (_ @t140 @t144))) % 0.47/0.96 (define @t147 () (@var "P2" (-> tptp.product_prod_a_a Bool))) % 0.47/0.96 (define @t148 () (@var "B3" tptp.a)) % 0.47/0.96 (define @t149 () (@var "A3" tptp.a)) % 0.47/0.96 (define @t150 () (_ tptp.product_Pair_a_a @t149)) % 0.47/0.96 (define @t151 () (_ @t150 @t148)) % 0.47/0.96 (define @t152 () (@list @t149 @t148)) % 0.47/0.96 (define @t153 () (forall @t152 (_ @t147 @t151))) % 0.47/0.96 (define @t154 () (@var "C" tptp.a)) % 0.47/0.96 (define @t155 () (_ tptp.product_Pair_a_a @t148)) % 0.47/0.96 (define @t156 () (_ @t129 (_ @t155 @t154))) % 0.47/0.96 (define @t157 () (@var "Y" tptp.produc1572603623od_a_a)) % 0.47/0.96 (define @t158 () (@list @t128 @t148 @t154)) % 0.47/0.96 (define @t159 () (@list @t157)) % 0.47/0.96 (define @t160 () (@var "Relation" tptp.set_Pr1948701895od_a_a)) % 0.47/0.96 (define @t161 () (@var "Carrier" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t162 () (_ (_ tptp.prefer1338892073od_a_a @t161) @t160)) % 0.47/0.96 (define @t163 () (_ (_ tptp.prefer697821563od_a_a @t161) @t160)) % 0.47/0.96 (define @t164 () (@list @t161 @t160)) % 0.47/0.96 (define @t165 () (@var "Relation" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t166 () (@var "Carrier" tptp.set_a)) % 0.47/0.96 (define @t167 () (_ (_ tptp.prefer1292084992ence_a @t166) @t165)) % 0.47/0.96 (define @t168 () (_ (_ tptp.prefer719835986ence_a @t166) @t165)) % 0.47/0.96 (define @t169 () (@list @t166 @t165)) % 0.47/0.96 (define @t170 () (_ (_ tptp.order_359341630od_a_a @t161) @t160)) % 0.47/0.96 (define @t171 () (_ (_ tptp.order_preorder_on_a @t166) @t165)) % 0.47/0.96 (define @t172 () (_ (_ tptp.total_1490170027od_a_a @t161) @t160)) % 0.47/0.96 (define @t173 () (_ (_ tptp.total_on_a @t166) @t165)) % 0.47/0.96 (define @t174 () (@var "Relation" tptp.set_Pr1295299783od_a_a)) % 0.47/0.96 (define @t175 () (@var "Carrier" tptp.set_Pr1948701895od_a_a)) % 0.47/0.96 (define @t176 () (_ (_ tptp.prefer1409946857od_a_a @t175) @t174)) % 0.47/0.96 (define @t177 () (@var "Y3" tptp.produc1572603623od_a_a)) % 0.47/0.96 (define @t178 () (_ tptp.member2057358096od_a_a @t177)) % 0.47/0.96 (define @t179 () (@var "X3" tptp.produc1572603623od_a_a)) % 0.47/0.96 (define @t180 () (_ tptp.member1899387664od_a_a (_ (_ tptp.produc1935643479od_a_a @t179) @t177))) % 0.47/0.96 (define @t181 () (_ @t180 @t174)) % 0.47/0.96 (define @t182 () (@list @t179 @t177)) % 0.47/0.96 (define @t183 () (_ tptp.member2057358096od_a_a @t179)) % 0.47/0.96 (define @t184 () (@var "Relation" tptp.set_Pr146455751iset_a)) % 0.47/0.96 (define @t185 () (@var "Carrier" tptp.set_Pr158363655iset_a)) % 0.47/0.96 (define @t186 () (_ (_ tptp.prefer1608839465iset_a @t185) @t184)) % 0.47/0.96 (define @t187 () (@var "Y3" tptp.produc1127127335iset_a)) % 0.47/0.96 (define @t188 () (_ tptp.member340150864iset_a @t187)) % 0.47/0.96 (define @t189 () (@var "X3" tptp.produc1127127335iset_a)) % 0.47/0.96 (define @t190 () (_ tptp.member567864080iset_a (_ (_ tptp.produc1898392407iset_a @t189) @t187))) % 0.47/0.96 (define @t191 () (_ @t190 @t184)) % 0.47/0.96 (define @t192 () (@list @t189 @t187)) % 0.47/0.96 (define @t193 () (_ tptp.member340150864iset_a @t189)) % 0.47/0.96 (define @t194 () (@var "Relation" tptp.set_Pr1930443975od_a_a)) % 0.47/0.96 (define @t195 () (@var "Carrier" tptp.set_Pr1821581383od_a_a)) % 0.47/0.96 (define @t196 () (_ (_ tptp.prefer273553257od_a_a @t195) @t194)) % 0.47/0.96 (define @t197 () (@var "Y3" tptp.produc2061001575od_a_a)) % 0.47/0.96 (define @t198 () (_ tptp.member1349055120od_a_a @t197)) % 0.47/0.96 (define @t199 () (@var "X3" tptp.produc2061001575od_a_a)) % 0.47/0.96 (define @t200 () (_ tptp.member2007374608od_a_a (_ (_ tptp.produc978545495od_a_a @t199) @t197))) % 0.47/0.96 (define @t201 () (_ @t200 @t194)) % 0.47/0.96 (define @t202 () (@list @t199 @t197)) % 0.47/0.96 (define @t203 () (_ tptp.member1349055120od_a_a @t199)) % 0.47/0.96 (define @t204 () (@var "Relation" tptp.set_Pr158363655iset_a)) % 0.47/0.96 (define @t205 () (@var "Carrier" tptp.set_multiset_a)) % 0.47/0.96 (define @t206 () (_ (_ tptp.prefer1571048262iset_a @t205) @t204)) % 0.47/0.96 (define @t207 () (_ tptp.member_multiset_a @t105)) % 0.47/0.96 (define @t208 () (_ tptp.member340150864iset_a @t108)) % 0.47/0.96 (define @t209 () (_ @t208 @t204)) % 0.47/0.96 (define @t210 () (_ tptp.member_multiset_a @t106)) % 0.47/0.96 (define @t211 () (@var "Relation" tptp.set_Pr1821581383od_a_a)) % 0.47/0.96 (define @t212 () (@var "Carrier" tptp.set_mu1281098573od_a_a)) % 0.47/0.96 (define @t213 () (_ (_ tptp.prefer1340910575od_a_a @t212) @t211)) % 0.47/0.96 (define @t214 () (_ tptp.member1755255446od_a_a @t112)) % 0.47/0.96 (define @t215 () (_ tptp.member1349055120od_a_a @t115)) % 0.47/0.96 (define @t216 () (_ @t215 @t211)) % 0.47/0.96 (define @t217 () (_ tptp.member1755255446od_a_a @t113)) % 0.47/0.96 (define @t218 () (_ tptp.member449909584od_a_a @t98)) % 0.47/0.96 (define @t219 () (_ tptp.member2057358096od_a_a @t101)) % 0.47/0.96 (define @t220 () (_ @t219 @t160)) % 0.47/0.96 (define @t221 () (_ tptp.member449909584od_a_a @t99)) % 0.47/0.96 (define @t222 () (_ tptp.member_a @t118)) % 0.47/0.96 (define @t223 () (_ tptp.member449909584od_a_a @t121)) % 0.47/0.96 (define @t224 () (_ @t223 @t165)) % 0.47/0.96 (define @t225 () (_ tptp.member_a @t119)) % 0.47/0.96 (define @t226 () (@var "X" tptp.multiset_a)) % 0.47/0.96 (define @t227 () (@var "Z" tptp.multiset_a)) % 0.47/0.96 (define @t228 () (_ tptp.produc2037245207iset_a @t227)) % 0.47/0.96 (define @t229 () (_ (_ tptp.member340150864iset_a (_ @t228 @t226)) @t204)) % 0.47/0.96 (define @t230 () (_ tptp.produc2037245207iset_a @t226)) % 0.47/0.96 (define @t231 () (_ tptp.member340150864iset_a (_ @t230 @t227))) % 0.47/0.96 (define @t232 () (_ @t231 @t204)) % 0.47/0.96 (define @t233 () (@var "Y" tptp.multiset_a)) % 0.47/0.96 (define @t234 () (_ tptp.member340150864iset_a (_ @t228 @t233))) % 0.47/0.96 (define @t235 () (_ @t234 @t204)) % 0.47/0.96 (define @t236 () (_ tptp.produc2037245207iset_a @t233)) % 0.47/0.96 (define @t237 () (_ tptp.member340150864iset_a (_ @t236 @t227))) % 0.47/0.96 (define @t238 () (_ @t237 @t204)) % 0.47/0.96 (define @t239 () (_ @t236 @t226)) % 0.47/0.96 (define @t240 () (_ (_ tptp.member340150864iset_a @t239) @t204)) % 0.47/0.96 (define @t241 () (_ @t230 @t233)) % 0.47/0.96 (define @t242 () (_ tptp.member340150864iset_a @t241)) % 0.47/0.96 (define @t243 () (_ @t242 @t204)) % 0.47/0.96 (define @t244 () (@list @t205 @t204 @t226 @t233 @t227)) % 0.47/0.96 (define @t245 () (@var "X" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t246 () (@var "Z" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t247 () (_ tptp.produc1859144151od_a_a @t246)) % 0.47/0.96 (define @t248 () (_ (_ tptp.member1349055120od_a_a (_ @t247 @t245)) @t211)) % 0.47/0.96 (define @t249 () (_ tptp.produc1859144151od_a_a @t245)) % 0.47/0.96 (define @t250 () (_ tptp.member1349055120od_a_a (_ @t249 @t246))) % 0.47/0.96 (define @t251 () (_ @t250 @t211)) % 0.47/0.96 (define @t252 () (@var "Y" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t253 () (_ tptp.member1349055120od_a_a (_ @t247 @t252))) % 0.47/0.96 (define @t254 () (_ @t253 @t211)) % 0.47/0.96 (define @t255 () (_ tptp.produc1859144151od_a_a @t252)) % 0.47/0.96 (define @t256 () (_ tptp.member1349055120od_a_a (_ @t255 @t246))) % 0.47/0.96 (define @t257 () (_ @t256 @t211)) % 0.47/0.96 (define @t258 () (_ @t255 @t245)) % 0.47/0.96 (define @t259 () (_ (_ tptp.member1349055120od_a_a @t258) @t211)) % 0.47/0.96 (define @t260 () (_ @t249 @t252)) % 0.47/0.96 (define @t261 () (_ tptp.member1349055120od_a_a @t260)) % 0.47/0.96 (define @t262 () (_ @t261 @t211)) % 0.47/0.96 (define @t263 () (@list @t212 @t211 @t245 @t252 @t246)) % 0.47/0.96 (define @t264 () (@var "X" tptp.product_prod_a_a)) % 0.47/0.96 (define @t265 () (@var "Z" tptp.product_prod_a_a)) % 0.47/0.96 (define @t266 () (_ tptp.produc1474507607od_a_a @t265)) % 0.47/0.96 (define @t267 () (_ (_ tptp.member2057358096od_a_a (_ @t266 @t264)) @t160)) % 0.47/0.96 (define @t268 () (_ tptp.produc1474507607od_a_a @t264)) % 0.47/0.96 (define @t269 () (_ tptp.member2057358096od_a_a (_ @t268 @t265))) % 0.47/0.96 (define @t270 () (_ @t269 @t160)) % 0.47/0.96 (define @t271 () (@var "Y" tptp.product_prod_a_a)) % 0.47/0.96 (define @t272 () (_ tptp.member2057358096od_a_a (_ @t266 @t271))) % 0.47/0.96 (define @t273 () (_ @t272 @t160)) % 0.47/0.96 (define @t274 () (_ tptp.produc1474507607od_a_a @t271)) % 0.47/0.96 (define @t275 () (_ tptp.member2057358096od_a_a (_ @t274 @t265))) % 0.47/0.96 (define @t276 () (_ @t275 @t160)) % 0.47/0.96 (define @t277 () (_ @t274 @t264)) % 0.47/0.96 (define @t278 () (_ (_ tptp.member2057358096od_a_a @t277) @t160)) % 0.47/0.96 (define @t279 () (_ @t268 @t271)) % 0.47/0.96 (define @t280 () (_ tptp.member2057358096od_a_a @t279)) % 0.47/0.96 (define @t281 () (_ @t280 @t160)) % 0.47/0.96 (define @t282 () (@list @t161 @t160 @t264 @t271 @t265)) % 0.47/0.96 (define @t283 () (_ @t4 @t165)) % 0.47/0.96 (define @t284 () (_ @t7 @t165)) % 0.47/0.96 (define @t285 () (_ @t10 @t165)) % 0.47/0.96 (define @t286 () (_ @t14 @t165)) % 0.47/0.96 (define @t287 () (_ @t17 @t165)) % 0.47/0.96 (define @t288 () (_ @t20 @t165)) % 0.47/0.96 (define @t289 () (@list @t166 @t165 @t1 @t9 @t2)) % 0.47/0.96 (define @t290 () (@var "X" tptp.produc1572603623od_a_a)) % 0.47/0.96 (define @t291 () (_ tptp.member2057358096od_a_a @t290)) % 0.47/0.96 (define @t292 () (_ @t291 @t175)) % 0.47/0.96 (define @t293 () (_ tptp.member1899387664od_a_a (_ (_ tptp.produc1935643479od_a_a @t290) @t157))) % 0.47/0.96 (define @t294 () (_ @t293 @t174)) % 0.47/0.96 (define @t295 () (@list @t175 @t174 @t290 @t157)) % 0.47/0.96 (define @t296 () (@var "X" tptp.produc1127127335iset_a)) % 0.47/0.96 (define @t297 () (_ tptp.member340150864iset_a @t296)) % 0.47/0.96 (define @t298 () (_ @t297 @t185)) % 0.47/0.96 (define @t299 () (@var "Y" tptp.produc1127127335iset_a)) % 0.47/0.96 (define @t300 () (_ tptp.member567864080iset_a (_ (_ tptp.produc1898392407iset_a @t296) @t299))) % 0.47/0.96 (define @t301 () (_ @t300 @t184)) % 0.47/0.96 (define @t302 () (@list @t185 @t184 @t296 @t299)) % 0.47/0.96 (define @t303 () (@var "X" tptp.produc2061001575od_a_a)) % 0.47/0.96 (define @t304 () (_ tptp.member1349055120od_a_a @t303)) % 0.47/0.96 (define @t305 () (_ @t304 @t195)) % 0.47/0.96 (define @t306 () (@var "Y" tptp.produc2061001575od_a_a)) % 0.47/0.96 (define @t307 () (_ tptp.member2007374608od_a_a (_ (_ tptp.produc978545495od_a_a @t303) @t306))) % 0.47/0.96 (define @t308 () (_ @t307 @t194)) % 0.47/0.96 (define @t309 () (@list @t195 @t194 @t303 @t306)) % 0.47/0.96 (define @t310 () (_ tptp.member_multiset_a @t226)) % 0.47/0.96 (define @t311 () (_ @t310 @t205)) % 0.47/0.96 (define @t312 () (@list @t205 @t204 @t226 @t233)) % 0.47/0.96 (define @t313 () (_ tptp.member1755255446od_a_a @t245)) % 0.47/0.96 (define @t314 () (_ @t313 @t212)) % 0.47/0.96 (define @t315 () (@list @t212 @t211 @t245 @t252)) % 0.47/0.96 (define @t316 () (_ tptp.member449909584od_a_a @t264)) % 0.47/0.96 (define @t317 () (_ @t316 @t161)) % 0.47/0.96 (define @t318 () (@list @t161 @t160 @t264 @t271)) % 0.47/0.96 (define @t319 () (_ @t34 @t166)) % 0.47/0.96 (define @t320 () (@list @t166 @t165 @t1 @t9)) % 0.47/0.96 (define @t321 () (not (_ (_ tptp.member1899387664od_a_a (_ (_ tptp.produc1935643479od_a_a @t157) @t290)) @t174))) % 0.47/0.96 (define @t322 () (_ tptp.member2057358096od_a_a @t157)) % 0.47/0.96 (define @t323 () (not (_ (_ tptp.member567864080iset_a (_ (_ tptp.produc1898392407iset_a @t299) @t296)) @t184))) % 0.47/0.96 (define @t324 () (_ tptp.member340150864iset_a @t299)) % 0.47/0.96 (define @t325 () (not (_ (_ tptp.member2007374608od_a_a (_ (_ tptp.produc978545495od_a_a @t306) @t303)) @t194))) % 0.47/0.96 (define @t326 () (_ tptp.member1349055120od_a_a @t306)) % 0.47/0.96 (define @t327 () (not @t240)) % 0.47/0.96 (define @t328 () (and @t243 @t327)) % 0.47/0.96 (define @t329 () (_ tptp.member_multiset_a @t233)) % 0.47/0.96 (define @t330 () (_ (_ tptp.prefer1779827352iset_a @t205) @t204)) % 0.47/0.96 (define @t331 () (not @t259)) % 0.47/0.96 (define @t332 () (and @t262 @t331)) % 0.47/0.96 (define @t333 () (_ tptp.member1755255446od_a_a @t252)) % 0.47/0.96 (define @t334 () (_ (_ tptp.prefer1669415233od_a_a @t212) @t211)) % 0.47/0.96 (define @t335 () (not @t278)) % 0.47/0.96 (define @t336 () (and @t281 @t335)) % 0.47/0.96 (define @t337 () (_ tptp.member449909584od_a_a @t271)) % 0.47/0.96 (define @t338 () (not @t287)) % 0.47/0.96 (define @t339 () (and @t288 @t338)) % 0.47/0.96 (define @t340 () (@var "X2" tptp.multiset_a)) % 0.47/0.96 (define @t341 () (@var "Xa" tptp.multiset_a)) % 0.47/0.96 (define @t342 () (@var "X2" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t343 () (@var "Xa" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t344 () (@var "X2" tptp.product_prod_a_a)) % 0.47/0.96 (define @t345 () (@var "Xa" tptp.product_prod_a_a)) % 0.47/0.96 (define @t346 () (@var "Prod" tptp.produc1572603623od_a_a)) % 0.47/0.96 (define @t347 () (@var "Prod" tptp.produc1127127335iset_a)) % 0.47/0.96 (define @t348 () (@var "Prod" tptp.produc2061001575od_a_a)) % 0.47/0.96 (define @t349 () (@var "Prod" tptp.product_prod_a_a)) % 0.47/0.96 (define @t350 () (@var "R2" tptp.set_Pr1295299783od_a_a)) % 0.47/0.96 (define @t351 () (@var "A5" tptp.set_Pr1948701895od_a_a)) % 0.47/0.96 (define @t352 () (@var "R2" tptp.set_Pr146455751iset_a)) % 0.47/0.96 (define @t353 () (@var "A5" tptp.set_Pr158363655iset_a)) % 0.47/0.96 (define @t354 () (@var "R2" tptp.set_Pr1930443975od_a_a)) % 0.47/0.96 (define @t355 () (@var "A5" tptp.set_Pr1821581383od_a_a)) % 0.47/0.96 (define @t356 () (@var "R2" tptp.set_Pr158363655iset_a)) % 0.47/0.96 (define @t357 () (@var "A5" tptp.set_multiset_a)) % 0.47/0.96 (define @t358 () (_ tptp.produc2037245207iset_a @t105)) % 0.47/0.96 (define @t359 () (_ @t208 @t356)) % 0.47/0.96 (define @t360 () (@var "R2" tptp.set_Pr1821581383od_a_a)) % 0.47/0.96 (define @t361 () (@var "A5" tptp.set_mu1281098573od_a_a)) % 0.47/0.96 (define @t362 () (_ tptp.produc1859144151od_a_a @t112)) % 0.47/0.96 (define @t363 () (_ @t215 @t360)) % 0.47/0.96 (define @t364 () (@var "R2" tptp.set_Pr1948701895od_a_a)) % 0.47/0.96 (define @t365 () (@var "A5" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t366 () (_ tptp.produc1474507607od_a_a @t98)) % 0.47/0.96 (define @t367 () (_ @t219 @t364)) % 0.47/0.96 (define @t368 () (_ @t221 @t365)) % 0.47/0.96 (define @t369 () (@var "R2" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t370 () (@var "A5" tptp.set_a)) % 0.47/0.96 (define @t371 () (_ tptp.product_Pair_a_a @t118)) % 0.47/0.96 (define @t372 () (_ @t223 @t369)) % 0.47/0.96 (define @t373 () (_ @t225 @t370)) % 0.47/0.96 (define @t374 () (@var "B" tptp.produc1572603623od_a_a)) % 0.47/0.96 (define @t375 () (@var "A" tptp.produc1572603623od_a_a)) % 0.47/0.96 (define @t376 () (_ tptp.member2057358096od_a_a @t375)) % 0.47/0.96 (define @t377 () (_ @t376 @t351)) % 0.47/0.96 (define @t378 () (_ tptp.produc1935643479od_a_a @t375)) % 0.47/0.96 (define @t379 () (_ (_ tptp.refl_o198693862od_a_a @t351) @t350)) % 0.47/0.96 (define @t380 () (@var "B" tptp.produc1127127335iset_a)) % 0.47/0.96 (define @t381 () (@var "A" tptp.produc1127127335iset_a)) % 0.47/0.96 (define @t382 () (_ tptp.member340150864iset_a @t381)) % 0.47/0.96 (define @t383 () (_ @t382 @t353)) % 0.47/0.96 (define @t384 () (_ tptp.produc1898392407iset_a @t381)) % 0.47/0.96 (define @t385 () (_ (_ tptp.refl_o1522155814iset_a @t353) @t352)) % 0.47/0.96 (define @t386 () (@var "B" tptp.produc2061001575od_a_a)) % 0.47/0.96 (define @t387 () (@var "A" tptp.produc2061001575od_a_a)) % 0.47/0.96 (define @t388 () (_ tptp.member1349055120od_a_a @t387)) % 0.47/0.96 (define @t389 () (_ @t388 @t355)) % 0.47/0.96 (define @t390 () (_ tptp.produc978545495od_a_a @t387)) % 0.47/0.96 (define @t391 () (_ (_ tptp.refl_o102522214od_a_a @t355) @t354)) % 0.47/0.96 (define @t392 () (_ tptp.member_multiset_a @t71)) % 0.47/0.96 (define @t393 () (_ @t392 @t357)) % 0.47/0.96 (define @t394 () (_ (_ tptp.refl_on_multiset_a @t357) @t356)) % 0.47/0.96 (define @t395 () (_ tptp.member1755255446od_a_a @t81)) % 0.47/0.96 (define @t396 () (_ @t395 @t361)) % 0.47/0.96 (define @t397 () (_ (_ tptp.refl_o581572716od_a_a @t361) @t360)) % 0.47/0.96 (define @t398 () (_ tptp.member449909584od_a_a @t58)) % 0.47/0.96 (define @t399 () (_ tptp.member449909584od_a_a @t61)) % 0.47/0.96 (define @t400 () (_ @t399 @t365)) % 0.47/0.96 (define @t401 () (_ (_ tptp.refl_o1298442278od_a_a @t365) @t364)) % 0.47/0.96 (define @t402 () (_ tptp.member_a @t88)) % 0.47/0.96 (define @t403 () (_ tptp.member_a @t91)) % 0.47/0.96 (define @t404 () (_ @t403 @t370)) % 0.47/0.96 (define @t405 () (_ tptp.member449909584od_a_a @t95)) % 0.47/0.96 (define @t406 () (_ (_ tptp.refl_on_a @t370) @t369)) % 0.47/0.96 (define @t407 () (@var "P2" (-> tptp.multis599418605od_a_a Bool))) % 0.47/0.96 (define @t408 () (@var "P2" (-> tptp.multiset_a Bool))) % 0.47/0.96 (define @t409 () (@var "P2" (-> tptp.a Bool))) % 0.47/0.96 (define @t410 () (_ tptp.collect_a @t409)) % 0.47/0.96 (define @t411 () (_ tptp.collec645855634od_a_a @t147)) % 0.47/0.96 (define @t412 () (@var "X4" tptp.produc1572603623od_a_a)) % 0.47/0.96 (define @t413 () (_ tptp.member2057358096od_a_a @t412)) % 0.47/0.96 (define @t414 () (@var "X4" tptp.produc1127127335iset_a)) % 0.47/0.96 (define @t415 () (_ tptp.member340150864iset_a @t414)) % 0.47/0.96 (define @t416 () (@var "X4" tptp.produc2061001575od_a_a)) % 0.47/0.96 (define @t417 () (_ tptp.member1349055120od_a_a @t416)) % 0.47/0.96 (define @t418 () (@var "X4" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t419 () (_ tptp.member1755255446od_a_a @t418)) % 0.47/0.96 (define @t420 () (@list @t418)) % 0.47/0.96 (define @t421 () (@var "X4" tptp.multiset_a)) % 0.47/0.96 (define @t422 () (_ tptp.member_multiset_a @t421)) % 0.47/0.96 (define @t423 () (@list @t421)) % 0.47/0.96 (define @t424 () (@var "X4" tptp.a)) % 0.47/0.96 (define @t425 () (_ tptp.member_a @t424)) % 0.47/0.96 (define @t426 () (@list @t424)) % 0.47/0.96 (define @t427 () (@var "X4" tptp.product_prod_a_a)) % 0.47/0.96 (define @t428 () (_ tptp.member449909584od_a_a @t427)) % 0.47/0.96 (define @t429 () (@list @t427)) % 0.47/0.96 (define @t430 () (@var "Q" (-> tptp.product_prod_a_a Bool))) % 0.47/0.96 (define @t431 () (@list @t99)) % 0.47/0.96 (define @t432 () (@var "Q" (-> tptp.a Bool))) % 0.47/0.96 (define @t433 () (@list @t119)) % 0.47/0.96 (define @t434 () (_ @t293 @t350)) % 0.47/0.96 (define @t435 () (@list @t351 @t350 @t290 @t157)) % 0.47/0.96 (define @t436 () (_ @t300 @t352)) % 0.47/0.96 (define @t437 () (@list @t353 @t352 @t296 @t299)) % 0.47/0.96 (define @t438 () (_ @t307 @t354)) % 0.47/0.96 (define @t439 () (@list @t355 @t354 @t303 @t306)) % 0.47/0.96 (define @t440 () (_ @t242 @t356)) % 0.47/0.96 (define @t441 () (@list @t357 @t356 @t226 @t233)) % 0.47/0.96 (define @t442 () (_ @t261 @t360)) % 0.47/0.96 (define @t443 () (@list @t361 @t360 @t245 @t252)) % 0.47/0.96 (define @t444 () (_ @t280 @t364)) % 0.47/0.96 (define @t445 () (@list @t365 @t364 @t264 @t271)) % 0.47/0.96 (define @t446 () (_ @t20 @t369)) % 0.47/0.96 (define @t447 () (@list @t370 @t369 @t1 @t9)) % 0.47/0.96 (define @t448 () (_ @t316 @t365)) % 0.47/0.96 (define @t449 () (_ @t34 @t370)) % 0.47/0.96 (define @t450 () (_ tptp.trans_972827014od_a_a @t364)) % 0.47/0.96 (define @t451 () (@var "Z3" tptp.product_prod_a_a)) % 0.47/0.96 (define @t452 () (_ tptp.trans_multiset_a @t356)) % 0.47/0.96 (define @t453 () (@var "Z3" tptp.multiset_a)) % 0.47/0.96 (define @t454 () (_ tptp.trans_1520871884od_a_a @t360)) % 0.47/0.96 (define @t455 () (@var "Z3" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t456 () (_ tptp.trans_a @t369)) % 0.47/0.96 (define @t457 () (@var "Z3" tptp.a)) % 0.47/0.96 (define @t458 () (_ (_ tptp.prefer1064779160od_a_a @t161) @t160)) % 0.47/0.96 (define @t459 () (_ (_ tptp.prefer580340847ioms_a @t166) @t165)) % 0.47/0.96 (define @t460 () (= tptp.prefer580340847ioms_a tptp.total_on_a)) % 0.47/0.96 (define @t461 () (@var "R3" tptp.set_Pr1948701895od_a_a)) % 0.47/0.96 (define @t462 () (@var "S2" tptp.product_prod_a_a)) % 0.47/0.96 (define @t463 () (@var "R2" tptp.product_prod_a_a)) % 0.47/0.96 (define @t464 () (_ tptp.produc1474507607od_a_a @t463)) % 0.47/0.96 (define @t465 () (@var "S" tptp.product_prod_a_a)) % 0.47/0.96 (define @t466 () (@var "R3" tptp.set_Pr158363655iset_a)) % 0.47/0.96 (define @t467 () (@var "S2" tptp.multiset_a)) % 0.47/0.96 (define @t468 () (@var "R2" tptp.multiset_a)) % 0.47/0.96 (define @t469 () (_ tptp.produc2037245207iset_a @t468)) % 0.47/0.96 (define @t470 () (@var "S" tptp.multiset_a)) % 0.47/0.96 (define @t471 () (@var "R3" tptp.set_Pr1821581383od_a_a)) % 0.47/0.96 (define @t472 () (@var "S2" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t473 () (@var "R2" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t474 () (_ tptp.produc1859144151od_a_a @t473)) % 0.47/0.96 (define @t475 () (@var "S" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t476 () (@var "R3" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t477 () (@var "S2" tptp.a)) % 0.47/0.96 (define @t478 () (@var "R2" tptp.a)) % 0.47/0.96 (define @t479 () (_ tptp.product_Pair_a_a @t478)) % 0.47/0.96 (define @t480 () (@var "S" tptp.a)) % 0.47/0.96 (define @t481 () (@var "Pr" tptp.set_Pr1295299783od_a_a)) % 0.47/0.96 (define @t482 () (@var "B4" tptp.set_Pr1948701895od_a_a)) % 0.47/0.96 (define @t483 () (_ (_ (_ tptp.prefer55414563od_a_a @t157) @t482) @t481)) % 0.47/0.96 (define @t484 () (@var "Pr" tptp.set_Pr146455751iset_a)) % 0.47/0.96 (define @t485 () (@var "B4" tptp.set_Pr158363655iset_a)) % 0.47/0.96 (define @t486 () (_ (_ (_ tptp.prefer619498851iset_a @t299) @t485) @t484)) % 0.47/0.96 (define @t487 () (@var "Pr" tptp.set_Pr1930443975od_a_a)) % 0.47/0.96 (define @t488 () (@var "B4" tptp.set_Pr1821581383od_a_a)) % 0.47/0.96 (define @t489 () (_ (_ (_ tptp.prefer737894307od_a_a @t306) @t488) @t487)) % 0.47/0.96 (define @t490 () (@var "Pr" tptp.set_Pr158363655iset_a)) % 0.47/0.96 (define @t491 () (@var "B4" tptp.set_multiset_a)) % 0.47/0.96 (define @t492 () (_ (_ (_ tptp.prefer2130004608iset_a @t233) @t491) @t490)) % 0.47/0.96 (define @t493 () (@var "Pr" tptp.set_Pr1821581383od_a_a)) % 0.47/0.96 (define @t494 () (@var "B4" tptp.set_mu1281098573od_a_a)) % 0.47/0.96 (define @t495 () (_ (_ (_ tptp.prefer1191731497od_a_a @t252) @t494) @t493)) % 0.47/0.96 (define @t496 () (@var "Pr" tptp.set_Pr1948701895od_a_a)) % 0.47/0.96 (define @t497 () (@var "B4" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t498 () (_ (_ (_ tptp.prefer477097315od_a_a @t271) @t497) @t496)) % 0.47/0.96 (define @t499 () (@var "Pr" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t500 () (@var "B4" tptp.set_a)) % 0.47/0.96 (define @t501 () (_ (_ (_ tptp.prefer161218362good_a @t9) @t500) @t499)) % 0.47/0.96 (define @t502 () (@var "Z" tptp.produc1572603623od_a_a)) % 0.47/0.96 (define @t503 () (@var "Z" tptp.produc1127127335iset_a)) % 0.47/0.96 (define @t504 () (_ tptp.member340150864iset_a @t503)) % 0.47/0.96 (define @t505 () (@var "Z" tptp.produc2061001575od_a_a)) % 0.47/0.96 (define @t506 () (_ tptp.member_multiset_a @t227)) % 0.47/0.96 (define @t507 () (_ tptp.member1755255446od_a_a @t246)) % 0.47/0.96 (define @t508 () (_ tptp.member449909584od_a_a @t265)) % 0.47/0.96 (define @t509 () (_ tptp.member_a @t2)) % 0.47/0.96 (define @t510 () (@var "F2" (-> tptp.produc1572603623od_a_a Bool))) % 0.47/0.96 (define @t511 () (@var "F2" (-> tptp.produc1127127335iset_a Bool))) % 0.47/0.96 (define @t512 () (_ (_ (_ tptp.produc1530159757et_a_o @t511) @t71) @t68)) % 0.47/0.96 (define @t513 () (_ @t511 @t74)) % 0.47/0.96 (define @t514 () (@list @t511 @t71 @t68)) % 0.47/0.96 (define @t515 () (@var "F2" (-> tptp.produc2061001575od_a_a Bool))) % 0.47/0.96 (define @t516 () (_ (_ (_ tptp.produc1548936141_a_a_o @t515) @t81) @t78)) % 0.47/0.96 (define @t517 () (_ @t515 @t84)) % 0.47/0.96 (define @t518 () (@list @t515 @t81 @t78)) % 0.47/0.96 (define @t519 () (@var "F2" (-> tptp.product_prod_a_a Bool))) % 0.47/0.96 (define @t520 () (_ tptp.product_curry_a_a_o @t519)) % 0.47/0.96 (define @t521 () (_ (_ @t520 @t91) @t88)) % 0.47/0.96 (define @t522 () (_ @t519 @t95)) % 0.47/0.96 (define @t523 () (@list @t519 @t91 @t88)) % 0.47/0.96 (define @t524 () (@var "F2" (-> tptp.a tptp.a))) % 0.47/0.96 (define @t525 () (_ @t524 @t1)) % 0.47/0.96 (define @t526 () (_ (_ tptp.inv_image_a_a @t369) @t524)) % 0.47/0.96 (define @t527 () (@var "F2" (-> tptp.a tptp.multiset_a))) % 0.47/0.96 (define @t528 () (@var "F2" (-> tptp.multiset_a tptp.a))) % 0.47/0.96 (define @t529 () (@var "F2" (-> tptp.a tptp.product_prod_a_a))) % 0.47/0.96 (define @t530 () (_ @t529 @t1)) % 0.47/0.96 (define @t531 () (@var "F2" (-> tptp.product_prod_a_a tptp.a))) % 0.47/0.96 (define @t532 () (_ @t531 @t264)) % 0.47/0.96 (define @t533 () (@var "F2" (-> tptp.multiset_a tptp.multiset_a))) % 0.47/0.96 (define @t534 () (@var "F2" (-> tptp.a tptp.multis599418605od_a_a))) % 0.47/0.96 (define @t535 () (@var "F2" (-> tptp.product_prod_a_a tptp.multiset_a))) % 0.47/0.96 (define @t536 () (@var "F2" (-> tptp.multiset_a tptp.product_prod_a_a))) % 0.47/0.96 (define @t537 () (@var "F2" (-> tptp.multis599418605od_a_a tptp.a))) % 0.47/0.96 (define @t538 () (@var "F2" (-> tptp.product_prod_a_a tptp.set_Product_prod_a_a))) % 0.47/0.96 (define @t539 () (@var "F2" (-> tptp.product_prod_a_a tptp.set_a))) % 0.47/0.96 (define @t540 () (@var "F2" (-> tptp.a tptp.a tptp.set_Product_prod_a_a))) % 0.47/0.96 (define @t541 () (_ tptp.produc1093061851od_a_a @t540)) % 0.47/0.96 (define @t542 () (@var "F2" (-> tptp.a tptp.a tptp.set_a))) % 0.47/0.96 (define @t543 () (_ tptp.produc961951794_set_a @t542)) % 0.47/0.96 (define @t544 () (@var "F2" (-> tptp.a tptp.a Bool))) % 0.47/0.96 (define @t545 () (_ tptp.produc1833107820_a_a_o @t544)) % 0.47/0.96 (define @t546 () (@var "C2" (-> tptp.a tptp.a tptp.set_a))) % 0.47/0.96 (define @t547 () (@var "C2" (-> tptp.a tptp.a tptp.set_Product_prod_a_a))) % 0.47/0.96 (define @t548 () (@var "C2" (-> tptp.a tptp.a tptp.set_multiset_a))) % 0.47/0.96 (define @t549 () (@var "C2" (-> tptp.multiset_a tptp.multiset_a tptp.set_a))) % 0.47/0.96 (define @t550 () (@var "C2" (-> tptp.a tptp.a tptp.set_mu1281098573od_a_a))) % 0.47/0.96 (define @t551 () (@var "C2" (-> tptp.multiset_a tptp.multiset_a tptp.set_multiset_a))) % 0.47/0.96 (define @t552 () (@var "C2" (-> tptp.a tptp.a tptp.set_Pr158363655iset_a))) % 0.47/0.96 (define @t553 () (@var "C2" (-> tptp.product_prod_a_a tptp.product_prod_a_a tptp.set_a))) % 0.47/0.96 (define @t554 () (@var "C2" (-> tptp.multiset_a tptp.multiset_a tptp.set_Product_prod_a_a))) % 0.47/0.96 (define @t555 () (@var "C2" (-> tptp.product_prod_a_a tptp.product_prod_a_a tptp.set_multiset_a))) % 0.47/0.96 (define @t556 () (_ tptp.irrefl_a @t476)) % 0.47/0.96 (define @t557 () (@list @t476)) % 0.47/0.96 (define @t558 () (@var "M" tptp.multiset_a)) % 0.47/0.96 (define @t559 () (@var "N" tptp.multiset_a)) % 0.47/0.96 (define @t560 () (_ tptp.produc2037245207iset_a @t559)) % 0.47/0.96 (define @t561 () (_ tptp.member340150864iset_a (_ @t560 @t558))) % 0.47/0.96 (define @t562 () (@var "P2" (-> tptp.a tptp.a Bool))) % 0.47/0.96 (define @t563 () (_ @t223 @t476)) % 0.47/0.96 (define @t564 () (@var "X" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t565 () (@var "P2" (-> tptp.set_Product_prod_a_a Bool))) % 0.47/0.96 (define @t566 () (@var "R4" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t567 () (@var "A7" tptp.a)) % 0.47/0.96 (define @t568 () (@var "B6" tptp.a)) % 0.47/0.96 (define @t569 () (_ tptp.product_Pair_a_a @t568)) % 0.47/0.96 (define @t570 () (_ tptp.member449909584od_a_a (_ @t569 @t567))) % 0.47/0.96 (define @t571 () (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t567) @t568))) % 0.47/0.96 (define @t572 () (@list @t567 @t568)) % 0.47/0.96 (define @t573 () (_ tptp.asym_a @t476)) % 0.47/0.96 (define @t574 () (@var "A" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t575 () (@var "R5" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t576 () (@var "Y4" tptp.a)) % 0.47/0.96 (define @t577 () (_ tptp.product_Pair_a_a @t576)) % 0.47/0.96 (define @t578 () (_ @t577 @t424)) % 0.47/0.96 (define @t579 () (_ tptp.member449909584od_a_a @t578)) % 0.47/0.96 (define @t580 () (_ tptp.product_Pair_a_a @t424)) % 0.47/0.96 (define @t581 () (_ @t580 @t576)) % 0.47/0.96 (define @t582 () (_ tptp.member449909584od_a_a @t581)) % 0.47/0.96 (define @t583 () (@list @t424 @t576)) % 0.47/0.96 (define @t584 () (forall @t583 (=> (_ @t582 @t575) (not (_ @t579 @t575))))) % 0.47/0.96 (define @t585 () (@list @t575)) % 0.47/0.96 (define @t586 () (_ (_ tptp.image_a_a @t524) @t370)) % 0.47/0.96 (define @t587 () (_ @t402 @t586)) % 0.47/0.96 (define @t588 () (= @t88 @t525)) % 0.47/0.96 (define @t589 () (_ (_ tptp.image_1725938350od_a_a @t529) @t370)) % 0.47/0.96 (define @t590 () (_ @t398 @t589)) % 0.47/0.96 (define @t591 () (= @t58 @t530)) % 0.47/0.96 (define @t592 () (_ (_ tptp.image_340790172_a_a_a @t531) @t365)) % 0.47/0.96 (define @t593 () (_ @t402 @t592)) % 0.47/0.96 (define @t594 () (= @t88 @t532)) % 0.47/0.96 (define @t595 () (@var "F2" (-> tptp.product_prod_a_a tptp.product_prod_a_a))) % 0.47/0.96 (define @t596 () (_ (_ tptp.image_794773445od_a_a @t595) @t365)) % 0.47/0.96 (define @t597 () (_ @t398 @t596)) % 0.47/0.96 (define @t598 () (_ @t595 @t264)) % 0.47/0.96 (define @t599 () (= @t58 @t598)) % 0.47/0.96 (define @t600 () (@var "S" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t601 () (_ tptp.mult_a @t600)) % 0.47/0.96 (define @t602 () (@var "Y5" tptp.multiset_a)) % 0.47/0.96 (define @t603 () (@var "X5" tptp.multiset_a)) % 0.47/0.96 (define @t604 () (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a @t603) @t602)) @t601)) % 0.47/0.96 (define @t605 () (@var "Z4" tptp.multiset_a)) % 0.47/0.96 (define @t606 () (_ tptp.irrefl_a @t600)) % 0.47/0.96 (define @t607 () (_ tptp.trans_a @t600)) % 0.47/0.96 (define @t608 () (@var "Uu" tptp.a)) % 0.47/0.96 (define @t609 () (_ tptp.add_mset_a @t608)) % 0.47/0.96 (define @t610 () (_ (_ tptp.lex_prod_a_a @t369) @t600)) % 0.47/0.96 (define @t611 () (_ tptp.total_on_a tptp.top_top_set_a)) % 0.47/0.96 (define @t612 () (@list @t369 @t600)) % 0.47/0.96 (define @t613 () (@var "G" (-> tptp.a tptp.a))) % 0.47/0.96 (define @t614 () (_ (_ tptp.product_Pair_a_a (_ @t524 @t91)) (_ @t613 @t88))) % 0.47/0.96 (define @t615 () (_ (_ tptp.produc700022774_a_a_a @t524) @t613)) % 0.47/0.96 (define @t616 () (@var "R22" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t617 () (@var "R1" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t618 () (_ (_ tptp.product_Pair_a_a (_ tptp.product_fst_a_a @t349)) (_ tptp.product_snd_a_a @t349))) % 0.47/0.96 (define @t619 () (@list @t349)) % 0.47/0.96 (define @t620 () (_ (_ tptp.image_794773445od_a_a @t615) @t476)) % 0.47/0.96 (define @t621 () (_ tptp.product_snd_a_a @t264)) % 0.47/0.96 (define @t622 () (_ tptp.product_fst_a_a @t264)) % 0.47/0.96 (define @t623 () (@var "A5" (-> tptp.a tptp.a Bool))) % 0.47/0.96 (define @t624 () (@var "T" tptp.product_prod_a_a)) % 0.47/0.96 (define @t625 () (@list @t55 @t53)) % 0.47/0.96 (define @t626 () (_ tptp.product_fst_a_a @t19)) % 0.47/0.96 (define @t627 () (@list @t1 @t9 @t91)) % 0.47/0.96 (define @t628 () (_ tptp.product_snd_a_a @t19)) % 0.47/0.96 (define @t629 () (_ @t524 @t119)) % 0.47/0.96 (define @t630 () (@var "C2" tptp.product_prod_a_a)) % 0.47/0.96 (define @t631 () (_ tptp.member449909584od_a_a @t630)) % 0.47/0.96 (define @t632 () (@var "Q2" tptp.a)) % 0.47/0.96 (define @t633 () (@var "P" tptp.a)) % 0.47/0.96 (define @t634 () (_ (_ tptp.product_Pair_a_a @t633) @t632)) % 0.47/0.96 (define @t635 () (= @t264 @t13)) % 0.47/0.96 (define @t636 () (@list @t264 @t9 @t2)) % 0.47/0.96 (define @t637 () (@var "A6" tptp.a)) % 0.47/0.96 (define @t638 () (_ tptp.product_Pair_a_a @t637)) % 0.47/0.96 (define @t639 () (@list @t637)) % 0.47/0.96 (define @t640 () (@var "B5" tptp.a)) % 0.47/0.96 (define @t641 () (@var "R3" (-> tptp.a tptp.set_Product_prod_a_a))) % 0.47/0.96 (define @t642 () (@var "Y6" tptp.a)) % 0.47/0.96 (define @t643 () (@var "B6" tptp.product_prod_a_a)) % 0.47/0.96 (define @t644 () (_ tptp.produc1474507607od_a_a @t643)) % 0.47/0.96 (define @t645 () (@var "K" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t646 () (_ (_ tptp.member449909584od_a_a @t643) (_ tptp.set_ms1818337124od_a_a @t645))) % 0.47/0.96 (define @t647 () (@list @t643)) % 0.47/0.96 (define @t648 () (@var "M0" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t649 () (@var "N" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t650 () (@list @t645)) % 0.47/0.96 (define @t651 () (@var "M" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t652 () (_ tptp.mult1_1719650714od_a_a @t364)) % 0.47/0.96 (define @t653 () (_ tptp.produc1859144151od_a_a @t649)) % 0.47/0.96 (define @t654 () (_ (_ tptp.member1349055120od_a_a (_ @t653 @t651)) @t652)) % 0.47/0.96 (define @t655 () (@var "K" tptp.multiset_a)) % 0.47/0.96 (define @t656 () (_ tptp.set_mset_a @t655)) % 0.47/0.96 (define @t657 () (_ (_ tptp.member_a @t568) @t656)) % 0.47/0.96 (define @t658 () (@list @t568)) % 0.47/0.96 (define @t659 () (@var "M0" tptp.multiset_a)) % 0.47/0.96 (define @t660 () (@list @t655)) % 0.47/0.96 (define @t661 () (_ tptp.mult1_a @t369)) % 0.47/0.96 (define @t662 () (_ @t561 @t661)) % 0.47/0.96 (define @t663 () (@var "K2" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t664 () (@var "M02" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t665 () (_ tptp.plus_p404985124od_a_a @t664)) % 0.47/0.96 (define @t666 () (_ tptp.add_ms1725977093od_a_a @t61)) % 0.47/0.96 (define @t667 () (_ @t666 @t664)) % 0.47/0.96 (define @t668 () (@var "K2" tptp.multiset_a)) % 0.47/0.96 (define @t669 () (_ tptp.set_mset_a @t668)) % 0.47/0.96 (define @t670 () (@var "M02" tptp.multiset_a)) % 0.47/0.96 (define @t671 () (_ tptp.plus_plus_multiset_a @t670)) % 0.47/0.96 (define @t672 () (_ tptp.add_mset_a @t91)) % 0.47/0.96 (define @t673 () (_ @t672 @t670)) % 0.47/0.96 (define @t674 () (@var "M2" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t675 () (@var "M2" tptp.multiset_a)) % 0.47/0.96 (define @t676 () (@var "B7" tptp.multiset_a)) % 0.47/0.96 (define @t677 () (@var "A5" tptp.multiset_a)) % 0.47/0.96 (define @t678 () (_ tptp.set_mset_a @t677)) % 0.47/0.96 (define @t679 () (_ @t403 @t678)) % 0.47/0.96 (define @t680 () (@var "B7" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t681 () (@var "A5" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t682 () (_ tptp.set_ms1818337124od_a_a @t681)) % 0.47/0.96 (define @t683 () (_ @t399 @t682)) % 0.47/0.96 (define @t684 () (@var "A8" tptp.multiset_a)) % 0.47/0.96 (define @t685 () (_ tptp.add_mset_a @t1)) % 0.47/0.96 (define @t686 () (_ tptp.set_mset_a @t558)) % 0.47/0.96 (define @t687 () (_ @t34 @t686)) % 0.47/0.96 (define @t688 () (@list @t1 @t558)) % 0.47/0.96 (define @t689 () (@var "A8" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t690 () (_ tptp.add_ms1725977093od_a_a @t264)) % 0.47/0.96 (define @t691 () (_ tptp.set_ms1818337124od_a_a @t651)) % 0.47/0.96 (define @t692 () (_ @t316 @t691)) % 0.47/0.96 (define @t693 () (@list @t264 @t651)) % 0.47/0.96 (define @t694 () (@var "B4" tptp.multiset_a)) % 0.47/0.96 (define @t695 () (_ tptp.set_mset_a @t694)) % 0.47/0.96 (define @t696 () (@var "C2" tptp.a)) % 0.47/0.96 (define @t697 () (_ (_ tptp.member_a @t696) @t695)) % 0.47/0.96 (define @t698 () (not (= @t88 @t696))) % 0.47/0.96 (define @t699 () (@var "C3" tptp.multiset_a)) % 0.47/0.96 (define @t700 () (_ tptp.add_mset_a @t696)) % 0.47/0.96 (define @t701 () (_ tptp.add_mset_a @t88)) % 0.47/0.96 (define @t702 () (_ @t701 @t694)) % 0.47/0.96 (define @t703 () (@var "B4" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t704 () (_ tptp.set_ms1818337124od_a_a @t703)) % 0.47/0.96 (define @t705 () (_ @t631 @t704)) % 0.47/0.96 (define @t706 () (not (= @t58 @t630))) % 0.47/0.96 (define @t707 () (@var "C3" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t708 () (_ tptp.add_ms1725977093od_a_a @t630)) % 0.47/0.96 (define @t709 () (_ tptp.add_ms1725977093od_a_a @t58)) % 0.47/0.96 (define @t710 () (_ @t709 @t703)) % 0.47/0.96 (define @t711 () (_ tptp.set_mset_a @t559)) % 0.47/0.96 (define @t712 () (_ @t685 @t558)) % 0.47/0.96 (define @t713 () (@list @t1 @t558 @t559)) % 0.47/0.96 (define @t714 () (_ tptp.set_ms1818337124od_a_a @t649)) % 0.47/0.96 (define @t715 () (_ @t690 @t651)) % 0.47/0.96 (define @t716 () (@list @t264 @t651 @t649)) % 0.47/0.96 (define @t717 () (@var "Xa2" tptp.a)) % 0.47/0.96 (define @t718 () (@var "J" tptp.multiset_a)) % 0.47/0.96 (define @t719 () (@var "I" tptp.multiset_a)) % 0.47/0.96 (define @t720 () (_ tptp.plus_plus_multiset_a @t719)) % 0.47/0.96 (define @t721 () (_ tptp.mult_a @t369)) % 0.47/0.96 (define @t722 () (@var "J2" tptp.multiset_a)) % 0.47/0.96 (define @t723 () (@var "I2" tptp.multiset_a)) % 0.47/0.96 (define @t724 () (_ tptp.plus_plus_multiset_a @t723)) % 0.47/0.96 (define @t725 () (_ @t724 @t722)) % 0.47/0.96 (define @t726 () (_ tptp.set_mset_a @t722)) % 0.47/0.96 (define @t727 () (_ @t685 tptp.zero_zero_multiset_a)) % 0.47/0.96 (define @t728 () (_ @t690 tptp.zero_z160849828od_a_a)) % 0.47/0.96 (define @t729 () (@var "XS" tptp.multiset_a)) % 0.47/0.96 (define @t730 () (_ (_ tptp.add_mset_a @t9) tptp.zero_zero_multiset_a)) % 0.47/0.96 (define @t731 () (@var "XS" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t732 () (_ (_ tptp.add_ms1725977093od_a_a @t271) tptp.zero_z160849828od_a_a)) % 0.47/0.96 (define @t733 () (@var "N2" tptp.multiset_a)) % 0.47/0.96 (define @t734 () (@var "NN" tptp.multiset_multiset_a)) % 0.47/0.96 (define @t735 () (@var "N2" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t736 () (@var "NN" tptp.multis1735859763od_a_a)) % 0.47/0.96 (define @t737 () (_ tptp.minus_1649712171iset_a @t558)) % 0.47/0.96 (define @t738 () (_ @t737 @t727)) % 0.47/0.96 (define @t739 () (_ tptp.minus_1257885652od_a_a @t651)) % 0.47/0.96 (define @t740 () (_ @t739 @t728)) % 0.47/0.96 (define @t741 () (_ @t700 tptp.zero_zero_multiset_a)) % 0.47/0.96 (define @t742 () (_ (_ tptp.minus_1649712171iset_a @t694) @t741)) % 0.47/0.96 (define @t743 () (_ @t708 tptp.zero_z160849828od_a_a)) % 0.47/0.96 (define @t744 () (_ (_ tptp.minus_1257885652od_a_a @t703) @t743)) % 0.47/0.96 (define @t745 () (_ @t672 tptp.zero_zero_multiset_a)) % 0.47/0.96 (define @t746 () (_ @t672 (_ (_ tptp.minus_1649712171iset_a @t559) @t745))) % 0.47/0.96 (define @t747 () (_ @t403 @t711)) % 0.47/0.96 (define @t748 () (_ @t666 tptp.zero_z160849828od_a_a)) % 0.47/0.96 (define @t749 () (_ @t666 (_ (_ tptp.minus_1257885652od_a_a @t649) @t748))) % 0.47/0.96 (define @t750 () (_ @t399 @t714)) % 0.47/0.96 (define @t751 () (_ tptp.set_mset_a (_ @t737 @t745))) % 0.47/0.96 (define @t752 () (_ tptp.set_ms1818337124od_a_a (_ @t739 @t748))) % 0.47/0.96 (define @t753 () (@var "J2" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t754 () (@var "I2" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t755 () (_ tptp.plus_p404985124od_a_a @t754)) % 0.47/0.96 (define @t756 () (_ (_ tptp.member_a tptp.x) tptp.carrier)) % 0.47/0.96 (define @t757 () (_ (_ tptp.member_a tptp.y) tptp.carrier)) % 0.47/0.96 (define @t758 () (= tptp.x tptp.y)) % 0.47/0.96 (define @t759 () (_ (_ tptp.product_Pair_a_a tptp.y) tptp.x)) % 0.47/0.96 (define @t760 () (_ (_ tptp.member449909584od_a_a @t759) tptp.relation)) % 0.47/0.96 (define @t761 () (_ (_ tptp.product_Pair_a_a tptp.x) tptp.y)) % 0.47/0.96 (define @t762 () (_ (_ tptp.member449909584od_a_a @t761) tptp.relation)) % 0.47/0.96 (define @t763 () (or @t762 @t760)) % 0.47/0.96 (define @t764 () (not @t763)) % 0.47/0.96 (define @t765 () (@var "Relation2" tptp.set_Pr1295299783od_a_a)) % 0.47/0.96 (define @t766 () (@var "Carrier2" tptp.set_Pr1948701895od_a_a)) % 0.47/0.96 (define @t767 () (@var "Y4" tptp.produc1572603623od_a_a)) % 0.47/0.96 (define @t768 () (_ (_ tptp.member1899387664od_a_a (_ (_ tptp.produc1935643479od_a_a @t412) @t767)) @t765)) % 0.47/0.96 (define @t769 () (@list @t412 @t767)) % 0.47/0.96 (define @t770 () (lambda (@list @t766 @t765) (and (forall @t769 (=> @t768 (_ @t413 @t766))) (forall @t769 (=> @t768 (_ (_ tptp.member2057358096od_a_a @t767) @t766))) (_ (_ tptp.order_491428350od_a_a @t766) @t765)))) % 0.47/0.96 (define @t771 () (@var "Relation2" tptp.set_Pr146455751iset_a)) % 0.47/0.96 (define @t772 () (@var "Carrier2" tptp.set_Pr158363655iset_a)) % 0.47/0.96 (define @t773 () (@var "Y4" tptp.produc1127127335iset_a)) % 0.47/0.96 (define @t774 () (_ (_ tptp.member567864080iset_a (_ (_ tptp.produc1898392407iset_a @t414) @t773)) @t771)) % 0.47/0.96 (define @t775 () (@list @t414 @t773)) % 0.47/0.96 (define @t776 () (lambda (@list @t772 @t771) (and (forall @t775 (=> @t774 (_ @t415 @t772))) (forall @t775 (=> @t774 (_ (_ tptp.member340150864iset_a @t773) @t772))) (_ (_ tptp.order_761691966iset_a @t772) @t771)))) % 0.47/0.96 (define @t777 () (@var "Relation2" tptp.set_Pr1930443975od_a_a)) % 0.47/0.96 (define @t778 () (@var "Carrier2" tptp.set_Pr1821581383od_a_a)) % 0.47/0.96 (define @t779 () (@var "Y4" tptp.produc2061001575od_a_a)) % 0.47/0.96 (define @t780 () (_ (_ tptp.member2007374608od_a_a (_ (_ tptp.produc978545495od_a_a @t416) @t779)) @t777)) % 0.47/0.96 (define @t781 () (@list @t416 @t779)) % 0.47/0.96 (define @t782 () (lambda (@list @t778 @t777) (and (forall @t781 (=> @t780 (_ @t417 @t778))) (forall @t781 (=> @t780 (_ (_ tptp.member1349055120od_a_a @t779) @t778))) (_ (_ tptp.order_1210379134od_a_a @t778) @t777)))) % 0.47/0.96 (define @t783 () (@var "Relation2" tptp.set_Pr158363655iset_a)) % 0.47/0.96 (define @t784 () (@var "Carrier2" tptp.set_multiset_a)) % 0.47/0.96 (define @t785 () (@var "Y4" tptp.multiset_a)) % 0.47/0.96 (define @t786 () (_ tptp.member_multiset_a @t785)) % 0.47/0.96 (define @t787 () (_ tptp.produc2037245207iset_a @t421)) % 0.47/0.96 (define @t788 () (_ tptp.member340150864iset_a (_ @t787 @t785))) % 0.47/0.96 (define @t789 () (_ @t788 @t783)) % 0.47/0.96 (define @t790 () (@list @t421 @t785)) % 0.47/0.96 (define @t791 () (lambda (@list @t784 @t783) (and (forall @t790 (=> @t789 (_ @t422 @t784))) (forall @t790 (=> @t789 (_ @t786 @t784))) (_ (_ tptp.order_750350043iset_a @t784) @t783)))) % 0.47/0.96 (define @t792 () (@var "Relation2" tptp.set_Pr1821581383od_a_a)) % 0.47/0.96 (define @t793 () (@var "Carrier2" tptp.set_mu1281098573od_a_a)) % 0.47/0.96 (define @t794 () (@var "Y4" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t795 () (_ tptp.member1755255446od_a_a @t794)) % 0.47/0.96 (define @t796 () (_ tptp.produc1859144151od_a_a @t418)) % 0.47/0.96 (define @t797 () (_ tptp.member1349055120od_a_a (_ @t796 @t794))) % 0.47/0.96 (define @t798 () (_ @t797 @t792)) % 0.47/0.96 (define @t799 () (@list @t418 @t794)) % 0.47/0.96 (define @t800 () (lambda (@list @t793 @t792) (and (forall @t799 (=> @t798 (_ @t419 @t793))) (forall @t799 (=> @t798 (_ @t795 @t793))) (_ (_ tptp.order_1040740996od_a_a @t793) @t792)))) % 0.47/0.96 (define @t801 () (@var "Relation2" tptp.set_Pr1948701895od_a_a)) % 0.47/0.96 (define @t802 () (@var "Carrier2" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t803 () (@var "Y4" tptp.product_prod_a_a)) % 0.47/0.96 (define @t804 () (_ tptp.member449909584od_a_a @t803)) % 0.47/0.96 (define @t805 () (_ tptp.produc1474507607od_a_a @t427)) % 0.47/0.96 (define @t806 () (_ tptp.member2057358096od_a_a (_ @t805 @t803))) % 0.47/0.96 (define @t807 () (_ @t806 @t801)) % 0.47/0.96 (define @t808 () (@list @t427 @t803)) % 0.47/0.96 (define @t809 () (@list @t802 @t801)) % 0.47/0.96 (define @t810 () (lambda @t809 (and (forall @t808 (=> @t807 (_ @t428 @t802))) (forall @t808 (=> @t807 (_ @t804 @t802))) (_ (_ tptp.order_359341630od_a_a @t802) @t801)))) % 0.47/0.96 (define @t811 () (@var "Relation2" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t812 () (@var "Carrier2" tptp.set_a)) % 0.47/0.96 (define @t813 () (_ (_ tptp.order_preorder_on_a @t812) @t811)) % 0.47/0.96 (define @t814 () (_ tptp.member_a @t576)) % 0.47/0.96 (define @t815 () (_ @t814 @t812)) % 0.47/0.96 (define @t816 () (_ @t582 @t811)) % 0.47/0.96 (define @t817 () (forall @t583 (=> @t816 @t815))) % 0.47/0.96 (define @t818 () (_ @t425 @t812)) % 0.47/0.96 (define @t819 () (forall @t583 (=> @t816 @t818))) % 0.47/0.96 (define @t820 () (and @t819 @t817 @t813)) % 0.47/0.96 (define @t821 () (@list @t812 @t811)) % 0.47/0.96 (define @t822 () (lambda @t821 @t820)) % 0.47/0.96 (define @t823 () (@var "R" tptp.set_Pr1948701895od_a_a)) % 0.47/0.96 (define @t824 () (_ tptp.trans_972827014od_a_a @t823)) % 0.47/0.96 (define @t825 () (@var "A4" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t826 () (@list @t825 @t823)) % 0.47/0.96 (define @t827 () (lambda @t826 (and (_ (_ tptp.refl_o1298442278od_a_a @t825) @t823) @t824))) % 0.47/0.96 (define @t828 () (@var "R" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t829 () (_ tptp.trans_a @t828)) % 0.47/0.96 (define @t830 () (@var "A4" tptp.set_a)) % 0.47/0.96 (define @t831 () (_ (_ tptp.refl_on_a @t830) @t828)) % 0.47/0.96 (define @t832 () (and @t831 @t829)) % 0.47/0.96 (define @t833 () (@list @t830 @t828)) % 0.47/0.96 (define @t834 () (lambda @t833 @t832)) % 0.47/0.96 (define @t835 () (@var "R" tptp.set_Pr158363655iset_a)) % 0.47/0.96 (define @t836 () (_ tptp.produc2037245207iset_a @t785)) % 0.47/0.96 (define @t837 () (_ @t788 @t835)) % 0.47/0.96 (define @t838 () (@var "A4" tptp.set_multiset_a)) % 0.47/0.96 (define @t839 () (lambda (@list @t838 @t835) (forall @t423 (=> (_ @t422 @t838) (forall (@list @t785) (=> (_ @t786 @t838) (=> (not (= @t421 @t785)) (or @t837 (_ (_ tptp.member340150864iset_a (_ @t836 @t421)) @t835))))))))) % 0.47/0.96 (define @t840 () (@var "R" tptp.set_Pr1821581383od_a_a)) % 0.47/0.96 (define @t841 () (_ tptp.produc1859144151od_a_a @t794)) % 0.47/0.96 (define @t842 () (_ @t797 @t840)) % 0.47/0.96 (define @t843 () (@var "A4" tptp.set_mu1281098573od_a_a)) % 0.47/0.96 (define @t844 () (lambda (@list @t843 @t840) (forall @t420 (=> (_ @t419 @t843) (forall (@list @t794) (=> (_ @t795 @t843) (=> (not (= @t418 @t794)) (or @t842 (_ (_ tptp.member1349055120od_a_a (_ @t841 @t418)) @t840))))))))) % 0.47/0.96 (define @t845 () (_ tptp.produc1474507607od_a_a @t803)) % 0.47/0.96 (define @t846 () (_ @t806 @t823)) % 0.47/0.96 (define @t847 () (lambda @t826 (forall @t429 (=> (_ @t428 @t825) (forall (@list @t803) (=> (_ @t804 @t825) (=> (not (= @t427 @t803)) (or @t846 (_ (_ tptp.member2057358096od_a_a (_ @t845 @t427)) @t823))))))))) % 0.47/0.96 (define @t848 () (_ @t579 @t828)) % 0.47/0.96 (define @t849 () (_ @t582 @t828)) % 0.47/0.96 (define @t850 () (or @t849 @t848)) % 0.47/0.96 (define @t851 () (= @t424 @t576)) % 0.47/0.96 (define @t852 () (not @t851)) % 0.47/0.96 (define @t853 () (=> @t852 @t850)) % 0.47/0.96 (define @t854 () (_ @t814 @t830)) % 0.47/0.96 (define @t855 () (@list @t576)) % 0.47/0.96 (define @t856 () (forall @t855 (=> @t854 @t853))) % 0.47/0.96 (define @t857 () (_ @t425 @t830)) % 0.47/0.96 (define @t858 () (=> @t857 @t856)) % 0.47/0.96 (define @t859 () (forall @t426 @t858)) % 0.47/0.96 (define @t860 () (lambda @t833 @t859)) % 0.47/0.96 (define @t861 () (@var "Z2" tptp.product_prod_a_a)) % 0.47/0.96 (define @t862 () (@list @t823)) % 0.47/0.96 (define @t863 () (lambda @t862 (forall (@list @t427 @t803 @t861) (=> @t846 (=> (_ (_ tptp.member2057358096od_a_a (_ @t845 @t861)) @t823) (_ (_ tptp.member2057358096od_a_a (_ @t805 @t861)) @t823)))))) % 0.47/0.96 (define @t864 () (@var "Z2" tptp.multiset_a)) % 0.47/0.96 (define @t865 () (@list @t835)) % 0.47/0.96 (define @t866 () (lambda @t865 (forall (@list @t421 @t785 @t864) (=> @t837 (=> (_ (_ tptp.member340150864iset_a (_ @t836 @t864)) @t835) (_ (_ tptp.member340150864iset_a (_ @t787 @t864)) @t835)))))) % 0.47/0.96 (define @t867 () (@var "Z2" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t868 () (@list @t840)) % 0.47/0.96 (define @t869 () (lambda @t868 (forall (@list @t418 @t794 @t867) (=> @t842 (=> (_ (_ tptp.member1349055120od_a_a (_ @t841 @t867)) @t840) (_ (_ tptp.member1349055120od_a_a (_ @t796 @t867)) @t840)))))) % 0.47/0.96 (define @t870 () (@var "Z2" tptp.a)) % 0.47/0.96 (define @t871 () (_ @t580 @t870)) % 0.47/0.96 (define @t872 () (_ (_ tptp.member449909584od_a_a @t871) @t828)) % 0.47/0.96 (define @t873 () (_ @t577 @t870)) % 0.47/0.96 (define @t874 () (_ (_ tptp.member449909584od_a_a @t873) @t828)) % 0.47/0.96 (define @t875 () (=> @t874 @t872)) % 0.47/0.96 (define @t876 () (@list @t424 @t576 @t870)) % 0.47/0.96 (define @t877 () (forall @t876 (=> @t849 @t875))) % 0.47/0.96 (define @t878 () (@list @t828)) % 0.47/0.96 (define @t879 () (lambda @t878 @t877)) % 0.47/0.96 (define @t880 () (lambda @t809 (and (_ (_ tptp.prefer1338892073od_a_a @t802) @t801) (_ (_ tptp.prefer1064779160od_a_a @t802) @t801)))) % 0.47/0.96 (define @t881 () (_ (_ tptp.prefer580340847ioms_a @t812) @t811)) % 0.47/0.96 (define @t882 () (and (_ (_ tptp.prefer1292084992ence_a @t812) @t811) @t881)) % 0.47/0.96 (define @t883 () (lambda @t821 @t882)) % 0.47/0.96 (define @t884 () (@var "F" (-> tptp.product_prod_a_a Bool))) % 0.47/0.96 (define @t885 () (lambda (@list @t884 @t637 @t640) (_ @t884 (_ @t638 @t640)))) % 0.47/0.96 (define @t886 () (lambda @t826 (and @t824 (_ tptp.irrefl76447196od_a_a @t823) (_ (_ tptp.total_1490170027od_a_a @t825) @t823)))) % 0.47/0.96 (define @t887 () (lambda @t833 (and @t829 (_ tptp.irrefl_a @t828) (_ (_ tptp.total_on_a @t830) @t828)))) % 0.47/0.96 (define @t888 () (@var "A6" tptp.product_prod_a_a)) % 0.47/0.96 (define @t889 () (lambda @t862 (forall (@list @t888) (not (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t888) @t888)) @t823))))) % 0.47/0.96 (define @t890 () (@var "A6" tptp.multiset_a)) % 0.47/0.96 (define @t891 () (lambda @t865 (forall (@list @t890) (not (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a @t890) @t890)) @t835))))) % 0.47/0.96 (define @t892 () (@var "A6" tptp.multis599418605od_a_a)) % 0.47/0.96 (define @t893 () (lambda @t868 (forall (@list @t892) (not (_ (_ tptp.member1349055120od_a_a (_ (_ tptp.produc1859144151od_a_a @t892) @t892)) @t840))))) % 0.47/0.96 (define @t894 () (lambda @t878 (forall @t639 (not (_ (_ tptp.member449909584od_a_a (_ @t638 @t637)) @t828))))) % 0.47/0.96 (define @t895 () (@var "A6" tptp.set_Product_prod_a_a)) % 0.47/0.96 (define @t896 () (lambda (@list @t895) (exists @t585 (and (= @t895 @t575) @t584)))) % 0.47/0.96 (define @t897 () (lambda @t426 (_ @t425 tptp.top_top_set_a))) % 0.47/0.96 (define @t898 () (lambda @t429 (_ @t428 tptp.top_to398455383od_a_a))) % 0.47/0.96 (define @t899 () (@var "P3" tptp.product_prod_a_a)) % 0.47/0.96 (define @t900 () (lambda (@list @t899) (_ (_ tptp.product_Pair_a_a (_ tptp.product_snd_a_a @t899)) (_ tptp.product_fst_a_a @t899)))) % 0.47/0.96 (define @t901 () (tptp.product_Pair_a_a @t424 @t870)) % 0.47/0.96 (define @t902 () (tptp.product_Pair_a_a @t576 @t870)) % 0.47/0.96 (define @t903 () (tptp.product_Pair_a_a @t424 @t576)) % 0.47/0.96 (define @t904 () (not (tptp.member449909584od_a_a @t903 tptp.relation))) % 0.47/0.96 (define @t905 () (forall @t876 (or @t904 (not (tptp.member449909584od_a_a @t902 tptp.relation)) (tptp.member449909584od_a_a @t901 tptp.relation)))) % 0.47/0.96 (define @t906 () (tptp.refl_on_a tptp.carrier tptp.relation)) % 0.47/0.96 (define @t907 () (tptp.member_a @t576 tptp.carrier)) % 0.47/0.96 (define @t908 () (forall @t583 (or @t904 @t907))) % 0.47/0.96 (define @t909 () (tptp.member_a @t424 tptp.carrier)) % 0.47/0.96 (define @t910 () (forall @t583 (or @t904 @t909))) % 0.47/0.96 (define @t911 () (@var "BOUND_VARIABLE_9250" tptp.a)) % 0.47/0.96 (define @t912 () (tptp.product_Pair_a_a @t911 @t424)) % 0.47/0.96 (define @t913 () (tptp.product_Pair_a_a @t424 @t911)) % 0.47/0.96 (define @t914 () (= @t424 @t911)) % 0.47/0.96 (define @t915 () (not (tptp.member_a @t911 tptp.carrier))) % 0.47/0.96 (define @t916 () (not @t909)) % 0.47/0.96 (define @t917 () (@list @t424 @t911)) % 0.47/0.96 (define @t918 () (forall @t917 (or @t916 @t915 @t914 (tptp.member449909584od_a_a @t913 tptp.relation) (tptp.member449909584od_a_a @t912 tptp.relation)))) % 0.47/0.96 (define @t919 () (tptp.member449909584od_a_a @t912 @t828)) % 0.47/0.96 (define @t920 () (tptp.member449909584od_a_a @t913 @t828)) % 0.47/0.96 (define @t921 () (lambda @t878 (forall @t917 (or @t916 @t915 @t914 @t920 @t919)))) % 0.47/0.96 (define @t922 () (not (tptp.member_a @t911 @t830))) % 0.47/0.96 (define @t923 () (tptp.member_a @t424 @t830)) % 0.47/0.96 (define @t924 () (not @t923)) % 0.47/0.96 (define @t925 () (or @t924 @t922 @t914 @t920 @t919)) % 0.47/0.96 (define @t926 () (_ (lambda @t833 (forall @t917 @t925)) tptp.carrier)) % 0.47/0.96 (define @t927 () (or @t922 @t914 @t920 @t919)) % 0.47/0.96 (define @t928 () (or @t924 @t927)) % 0.47/0.96 (define @t929 () (forall @t917 @t928)) % 0.47/0.96 (define @t930 () (@list @t911)) % 0.47/0.96 (define @t931 () (forall @t930 @t928)) % 0.47/0.96 (define @t932 () (forall @t930 @t927)) % 0.47/0.96 (define @t933 () (or @t924 @t932)) % 0.47/0.96 (define @t934 () (tptp.product_Pair_a_a @t576 @t424)) % 0.47/0.96 (define @t935 () (tptp.member449909584od_a_a @t934 @t828)) % 0.47/0.96 (define @t936 () (tptp.member449909584od_a_a @t903 @t828)) % 0.47/0.96 (define @t937 () (tptp.member_a @t576 @t830)) % 0.47/0.96 (define @t938 () (forall @t855 (or (not @t937) @t851 @t936 @t935))) % 0.47/0.96 (define @t939 () (not @t857)) % 0.47/0.96 (define @t940 () (or @t939 @t938)) % 0.47/0.96 (define @t941 () (_ tptp.member449909584od_a_a @t903)) % 0.47/0.96 (define @t942 () (not @t854)) % 0.47/0.96 (define @t943 () (or @t942 @t851 @t849 @t848)) % 0.47/0.96 (define @t944 () (or @t851 @t849 @t848)) % 0.47/0.96 (define @t945 () (_ tptp.prefer580340847ioms_a tptp.carrier)) % 0.47/0.96 (define @t946 () (and (_ @t945 tptp.relation) @t910 @t908 @t39 @t905)) % 0.47/0.96 (define @t947 () (tptp.member449909584od_a_a @t903 @t811)) % 0.47/0.96 (define @t948 () (not @t947)) % 0.47/0.96 (define @t949 () (forall @t876 (or @t948 (not (tptp.member449909584od_a_a @t902 @t811)) (tptp.member449909584od_a_a @t901 @t811)))) % 0.47/0.96 (define @t950 () (@list @t811)) % 0.47/0.96 (define @t951 () (lambda @t950 (and (_ @t945 @t811) (forall @t583 (or @t948 @t909)) (forall @t583 (or @t948 @t907)) (_ @t38 @t811) @t949))) % 0.47/0.96 (define @t952 () (_ tptp.refl_on_a @t812)) % 0.47/0.96 (define @t953 () (_ @t952 @t811)) % 0.47/0.96 (define @t954 () (tptp.member_a @t576 @t812)) % 0.47/0.96 (define @t955 () (forall @t583 (or @t948 @t954))) % 0.47/0.96 (define @t956 () (tptp.member_a @t424 @t812)) % 0.47/0.96 (define @t957 () (forall @t583 (or @t948 @t956))) % 0.47/0.96 (define @t958 () (and @t881 @t957 @t955 @t953 @t949)) % 0.47/0.96 (define @t959 () (and @t957 @t955 @t953 @t949)) % 0.47/0.96 (define @t960 () (lambda @t950 @t959)) % 0.47/0.96 (define @t961 () (and @t953 @t949)) % 0.47/0.96 (define @t962 () (tptp.member449909584od_a_a @t901 @t828)) % 0.47/0.96 (define @t963 () (tptp.member449909584od_a_a @t902 @t828)) % 0.47/0.96 (define @t964 () (forall @t876 (or (not @t936) (not @t963) @t962))) % 0.47/0.96 (define @t965 () (lambda @t878 (and (_ @t952 @t828) @t964))) % 0.47/0.96 (define @t966 () (_ (lambda @t878 @t964) @t828)) % 0.47/0.96 (define @t967 () (and @t831 @t966)) % 0.47/0.96 (define @t968 () (lambda @t833 @t967)) % 0.47/0.96 (define @t969 () (and @t957 @t955 (_ (_ @t968 @t812) @t811))) % 0.47/0.96 (define @t970 () (lambda @t821 @t969)) % 0.47/0.96 (define @t971 () (not @t874)) % 0.47/0.96 (define @t972 () (not @t849)) % 0.47/0.96 (define @t973 () (or @t972 @t971 @t872)) % 0.47/0.96 (define @t974 () (and @t957 @t955 @t813)) % 0.47/0.96 (define @t975 () (not @t816)) % 0.47/0.96 (define @t976 () (or @t975 @t815)) % 0.47/0.96 (define @t977 () (or @t975 @t818)) % 0.47/0.96 (define @t978 () (tptp.member_a tptp.y tptp.carrier)) % 0.47/0.96 (define @t979 () (tptp.member_a tptp.x tptp.carrier)) % 0.47/0.96 (define @t980 () (tptp.product_Pair_a_a tptp.y tptp.x)) % 0.47/0.96 (define @t981 () (tptp.member449909584od_a_a @t980 tptp.relation)) % 0.47/0.96 (define @t982 () (tptp.product_Pair_a_a tptp.x tptp.y)) % 0.47/0.96 (define @t983 () (tptp.member449909584od_a_a @t982 tptp.relation)) % 0.47/0.96 (define @t984 () (not @t978)) % 0.47/0.96 (define @t985 () (not @t979)) % 0.47/0.96 (define @t986 () (or @t985 @t984 @t758 @t983 @t981)) % 0.47/0.96 (define @t987 () (not @t986)) % 0.47/0.96 (assume @p1 (forall @t22 (=> (and @t21 @t18) (=> (and @t15 @t11) (and @t8 @t5))))) % 0.47/0.96 (assume @p2 (forall @t22 (=> @t24 (=> (and @t15 (not @t11)) (and @t8 (not @t5)))))) % 0.47/0.96 (assume @p3 (_ (_ tptp.prefer719835986ence_a tptp.carrier) tptp.relation)) % 0.47/0.96 (assume @p4 (forall @t33 (=> (_ @t32 tptp.carrier) (forall @t31 (=> (_ @t30 tptp.carrier) (or (_ @t29 tptp.relation) (_ @t27 tptp.relation))))))) % 0.47/0.96 (assume @p5 (forall @t36 (=> @t21 @t35))) % 0.47/0.96 (assume @p6 (forall @t36 (=> (and @t35 (_ @t37 tptp.carrier)) (= @t23 @t24)))) % 0.47/0.96 (assume @p7 (_ (_ tptp.prefer1292084992ence_a tptp.carrier) tptp.relation)) % 0.47/0.96 (assume @p8 (_ (_ tptp.order_preorder_on_a tptp.carrier) tptp.relation)) % 0.47/0.96 (assume @p9 (_ (_ tptp.total_on_a tptp.carrier) tptp.relation)) % 0.47/0.96 (assume @p10 @t39) % 0.47/0.96 (assume @p11 (forall (@list @t43 @t41 @t42 @t40) (= (= (_ (_ tptp.produc1474507607od_a_a @t43) @t41) (_ (_ tptp.produc1474507607od_a_a @t42) @t40)) (and (= @t43 @t42) (= @t41 @t40))))) % 0.47/0.96 (assume @p12 (forall (@list @t47 @t45 @t46 @t44) (= (= (_ (_ tptp.produc2037245207iset_a @t47) @t45) (_ (_ tptp.produc2037245207iset_a @t46) @t44)) (and (= @t47 @t46) (= @t45 @t44))))) % 0.47/0.96 (assume @p13 (forall (@list @t51 @t49 @t50 @t48) (= (= (_ (_ tptp.produc1859144151od_a_a @t51) @t49) (_ (_ tptp.produc1859144151od_a_a @t50) @t48)) (and (= @t51 @t50) (= @t49 @t48))))) % 0.47/0.96 (assume @p14 (forall (@list @t55 @t53 @t54 @t52) (= (= @t56 (_ (_ tptp.product_Pair_a_a @t54) @t52)) (and (= @t55 @t54) (= @t53 @t52))))) % 0.47/0.96 (assume @p15 (forall @t66 (= @t65 (and @t62 @t59)))) % 0.47/0.96 (assume @p16 (forall @t76 (= @t75 (and @t72 @t69)))) % 0.47/0.96 (assume @p17 (forall @t86 (= @t85 (and @t82 @t79)))) % 0.47/0.96 (assume @p18 (forall @t97 (= @t96 (and @t92 @t89)))) % 0.47/0.96 (assume @p19 (_ tptp.trans_a tptp.relation)) % 0.47/0.96 (assume @p20 (forall (@list @t102) (exists @t104 @t103))) % 0.47/0.96 (assume @p21 (forall (@list @t109) (exists @t111 @t110))) % 0.47/0.96 (assume @p22 (forall (@list @t116) (exists @t117 (= @t116 @t115)))) % 0.47/0.96 (assume @p23 (forall @t125 (exists @t124 @t123))) % 0.47/0.96 (assume @p24 (forall (@list @t126 @t102) (=> @t132 (_ @t126 @t102)))) % 0.47/0.96 (assume @p25 (forall (@list @t133 @t109) (=> @t139 (_ @t133 @t109)))) % 0.47/0.96 (assume @p26 (forall (@list @t140 @t116) (=> @t146 (_ @t140 @t116)))) % 0.47/0.96 (assume @p27 (forall (@list @t147 @t122) (=> @t153 (_ @t147 @t122)))) % 0.47/0.96 (assume @p28 (forall @t66 (=> @t65 (not (=> @t62 (not @t59)))))) % 0.47/0.96 (assume @p29 (forall @t76 (=> @t75 (not (=> @t72 (not @t69)))))) % 0.47/0.96 (assume @p30 (forall @t86 (=> @t85 (not (=> @t82 (not @t79)))))) % 0.47/0.96 (assume @p31 (forall @t97 (=> @t96 (not (=> @t92 (not @t89)))))) % 0.47/0.96 (assume @p32 (forall @t159 (not (forall @t158 (not (= @t157 @t156)))))) % 0.47/0.96 (assume @p33 (forall @t164 (=> @t163 @t162))) % 0.47/0.96 (assume @p34 (forall @t169 (=> @t168 @t167))) % 0.47/0.96 (assume @p35 (forall @t164 (=> @t162 @t170))) % 0.47/0.96 (assume @p36 (forall @t169 (=> @t167 @t171))) % 0.47/0.96 (assume @p37 (forall @t164 (=> @t162 (_ (_ tptp.refl_o1298442278od_a_a @t161) @t160)))) % 0.47/0.96 (assume @p38 (forall @t169 (=> @t167 (_ (_ tptp.refl_on_a @t166) @t165)))) % 0.47/0.96 (assume @p39 (forall @t164 (=> @t162 (_ tptp.trans_972827014od_a_a @t160)))) % 0.47/0.96 (assume @p40 (forall @t169 (=> @t167 (_ tptp.trans_a @t165)))) % 0.47/0.96 (assume @p41 (forall @t164 (=> @t163 @t172))) % 0.47/0.96 (assume @p42 (forall @t169 (=> @t168 @t173))) % 0.47/0.96 (assume @p43 (forall (@list @t174 @t175) (=> (forall @t182 (=> @t181 (_ @t183 @t175))) (=> (forall @t182 (=> @t181 (_ @t178 @t175))) (=> (_ (_ tptp.order_491428350od_a_a @t175) @t174) @t176))))) % 0.47/0.96 (assume @p44 (forall (@list @t184 @t185) (=> (forall @t192 (=> @t191 (_ @t193 @t185))) (=> (forall @t192 (=> @t191 (_ @t188 @t185))) (=> (_ (_ tptp.order_761691966iset_a @t185) @t184) @t186))))) % 0.47/0.96 (assume @p45 (forall (@list @t194 @t195) (=> (forall @t202 (=> @t201 (_ @t203 @t195))) (=> (forall @t202 (=> @t201 (_ @t198 @t195))) (=> (_ (_ tptp.order_1210379134od_a_a @t195) @t194) @t196))))) % 0.47/0.96 (assume @p46 (forall (@list @t204 @t205) (=> (forall @t111 (=> @t209 (_ @t210 @t205))) (=> (forall @t111 (=> @t209 (_ @t207 @t205))) (=> (_ (_ tptp.order_750350043iset_a @t205) @t204) @t206))))) % 0.47/0.96 (assume @p47 (forall (@list @t211 @t212) (=> (forall @t117 (=> @t216 (_ @t217 @t212))) (=> (forall @t117 (=> @t216 (_ @t214 @t212))) (=> (_ (_ tptp.order_1040740996od_a_a @t212) @t211) @t213))))) % 0.47/0.96 (assume @p48 (forall (@list @t160 @t161) (=> (forall @t104 (=> @t220 (_ @t221 @t161))) (=> (forall @t104 (=> @t220 (_ @t218 @t161))) (=> @t170 @t162))))) % 0.47/0.96 (assume @p49 (forall (@list @t165 @t166) (=> (forall @t124 (=> @t224 (_ @t225 @t166))) (=> (forall @t124 (=> @t224 (_ @t222 @t166))) (=> @t171 @t167))))) % 0.47/0.96 (assume @p50 (forall @t244 (=> @t206 (=> (and @t243 @t240) (=> (and @t238 @t235) (and @t232 @t229)))))) % 0.47/0.96 (assume @p51 (forall @t263 (=> @t213 (=> (and @t262 @t259) (=> (and @t257 @t254) (and @t251 @t248)))))) % 0.47/0.96 (assume @p52 (forall @t282 (=> @t162 (=> (and @t281 @t278) (=> (and @t276 @t273) (and @t270 @t267)))))) % 0.47/0.96 (assume @p53 (forall @t289 (=> @t167 (=> (and @t288 @t287) (=> (and @t286 @t285) (and @t284 @t283)))))) % 0.47/0.96 (assume @p54 (forall @t295 (=> @t176 (=> @t294 @t292)))) % 0.47/0.96 (assume @p55 (forall @t302 (=> @t186 (=> @t301 @t298)))) % 0.47/0.96 (assume @p56 (forall @t309 (=> @t196 (=> @t308 @t305)))) % 0.47/0.96 (assume @p57 (forall @t312 (=> @t206 (=> @t243 @t311)))) % 0.47/0.96 (assume @p58 (forall @t315 (=> @t213 (=> @t262 @t314)))) % 0.47/0.96 (assume @p59 (forall @t318 (=> @t162 (=> @t281 @t317)))) % 0.47/0.96 (assume @p60 (forall @t320 (=> @t167 (=> @t288 @t319)))) % 0.47/0.96 (assume @p61 (forall @t295 (=> (_ (_ tptp.prefer1828051771od_a_a @t175) @t174) (=> (and @t292 (_ @t322 @t175)) (= @t321 (and @t294 @t321)))))) % 0.47/0.96 (assume @p62 (forall @t302 (=> (_ (_ tptp.prefer841781627iset_a @t185) @t184) (=> (and @t298 (_ @t324 @t185)) (= @t323 (and @t301 @t323)))))) % 0.47/0.96 (assume @p63 (forall @t309 (=> (_ (_ tptp.prefer933983163od_a_a @t195) @t194) (=> (and @t305 (_ @t326 @t195)) (= @t325 (and @t308 @t325)))))) % 0.47/0.96 (assume @p64 (forall @t312 (=> @t330 (=> (and @t311 (_ @t329 @t205)) (= @t327 @t328))))) % 0.47/0.96 (assume @p65 (forall @t315 (=> @t334 (=> (and @t314 (_ @t333 @t212)) (= @t331 @t332))))) % 0.47/0.96 (assume @p66 (forall @t318 (=> @t163 (=> (and @t317 (_ @t337 @t161)) (= @t335 @t336))))) % 0.47/0.96 (assume @p67 (forall @t320 (=> @t168 (=> (and @t319 (_ @t37 @t166)) (= @t338 @t339))))) % 0.47/0.96 (assume @p68 (forall @t244 (=> @t330 (=> @t328 (=> (and @t238 (not @t235)) (and @t232 (not @t229))))))) % 0.47/0.96 (assume @p69 (forall @t263 (=> @t334 (=> @t332 (=> (and @t257 (not @t254)) (and @t251 (not @t248))))))) % 0.47/0.96 (assume @p70 (forall @t282 (=> @t163 (=> @t336 (=> (and @t276 (not @t273)) (and @t270 (not @t267))))))) % 0.47/0.96 (assume @p71 (forall @t289 (=> @t168 (=> @t339 (=> (and @t286 (not @t285)) (and @t284 (not @t283))))))) % 0.47/0.96 (assume @p72 (forall (@list @t205 @t204) (=> @t330 (forall (@list @t340) (=> (_ (_ tptp.member_multiset_a @t340) @t205) (forall (@list @t341) (=> (_ (_ tptp.member_multiset_a @t341) @t205) (or (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a @t340) @t341)) @t204) (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a @t341) @t340)) @t204))))))))) % 0.47/0.96 (assume @p73 (forall (@list @t212 @t211) (=> @t334 (forall (@list @t342) (=> (_ (_ tptp.member1755255446od_a_a @t342) @t212) (forall (@list @t343) (=> (_ (_ tptp.member1755255446od_a_a @t343) @t212) (or (_ (_ tptp.member1349055120od_a_a (_ (_ tptp.produc1859144151od_a_a @t342) @t343)) @t211) (_ (_ tptp.member1349055120od_a_a (_ (_ tptp.produc1859144151od_a_a @t343) @t342)) @t211))))))))) % 0.47/0.96 (assume @p74 (forall @t164 (=> @t163 (forall (@list @t344) (=> (_ (_ tptp.member449909584od_a_a @t344) @t161) (forall (@list @t345) (=> (_ (_ tptp.member449909584od_a_a @t345) @t161) (or (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t344) @t345)) @t160) (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t345) @t344)) @t160))))))))) % 0.47/0.96 (assume @p75 (forall @t169 (=> @t168 (forall @t33 (=> (_ @t32 @t166) (forall @t31 (=> (_ @t30 @t166) (or (_ @t29 @t165) (_ @t27 @t165))))))))) % 0.47/0.96 (assume @p76 (forall (@list @t126 @t346) (=> @t132 (_ @t126 @t346)))) % 0.47/0.96 (assume @p77 (forall (@list @t133 @t347) (=> @t139 (_ @t133 @t347)))) % 0.47/0.96 (assume @p78 (forall (@list @t140 @t348) (=> @t146 (_ @t140 @t348)))) % 0.47/0.96 (assume @p79 (forall (@list @t147 @t349) (=> @t153 (_ @t147 @t349)))) % 0.47/0.96 (assume @p80 (forall @t159 (not (forall @t131 (not (= @t157 @t130)))))) % 0.47/0.96 (assume @p81 (forall (@list @t299) (not (forall @t138 (not (= @t299 @t137)))))) % 0.47/0.96 (assume @p82 (forall (@list @t306) (not (forall @t145 (not (= @t306 @t144)))))) % 0.47/0.96 (assume @p83 (forall (@list @t271) (not (forall @t152 (not (= @t271 @t151)))))) % 0.47/0.96 (assume @p84 (forall (@list @t126 @t290) (=> (forall @t158 (_ @t126 @t156)) (_ @t126 @t290)))) % 0.47/0.96 (assume @p85 (forall (@list @t351 @t350) (=> (forall @t182 (=> (_ @t183 @t351) (=> (_ @t178 @t351) (=> (not (= @t179 @t177)) (or (_ @t180 @t350) (_ (_ tptp.member1899387664od_a_a (_ (_ tptp.produc1935643479od_a_a @t177) @t179)) @t350)))))) (_ (_ tptp.total_1340260971od_a_a @t351) @t350)))) % 0.47/0.96 (assume @p86 (forall (@list @t353 @t352) (=> (forall @t192 (=> (_ @t193 @t353) (=> (_ @t188 @t353) (=> (not (= @t189 @t187)) (or (_ @t190 @t352) (_ (_ tptp.member567864080iset_a (_ (_ tptp.produc1898392407iset_a @t187) @t189)) @t352)))))) (_ (_ tptp.total_313747627iset_a @t353) @t352)))) % 0.47/0.96 (assume @p87 (forall (@list @t355 @t354) (=> (forall @t202 (=> (_ @t203 @t355) (=> (_ @t198 @t355) (=> (not (= @t199 @t197)) (or (_ @t200 @t354) (_ (_ tptp.member2007374608od_a_a (_ (_ tptp.produc978545495od_a_a @t197) @t199)) @t354)))))) (_ (_ tptp.total_1170533099od_a_a @t355) @t354)))) % 0.47/0.96 (assume @p88 (forall (@list @t357 @t356) (=> (forall @t111 (=> (_ @t210 @t357) (=> (_ @t207 @t357) (=> (not (= @t106 @t105)) (or @t359 (_ (_ tptp.member340150864iset_a (_ @t358 @t106)) @t356)))))) (_ (_ tptp.total_on_multiset_a @t357) @t356)))) % 0.47/0.96 (assume @p89 (forall (@list @t361 @t360) (=> (forall @t117 (=> (_ @t217 @t361) (=> (_ @t214 @t361) (=> (not (= @t113 @t112)) (or @t363 (_ (_ tptp.member1349055120od_a_a (_ @t362 @t113)) @t360)))))) (_ (_ tptp.total_1024184433od_a_a @t361) @t360)))) % 0.47/0.96 (assume @p90 (forall (@list @t365 @t364) (=> (forall @t104 (=> @t368 (=> (_ @t218 @t365) (=> (not (= @t99 @t98)) (or @t367 (_ (_ tptp.member2057358096od_a_a (_ @t366 @t99)) @t364)))))) (_ (_ tptp.total_1490170027od_a_a @t365) @t364)))) % 0.47/0.96 (assume @p91 (forall (@list @t370 @t369) (=> (forall @t124 (=> @t373 (=> (_ @t222 @t370) (=> (not (= @t119 @t118)) (or @t372 (_ (_ tptp.member449909584od_a_a (_ @t371 @t119)) @t369)))))) (_ (_ tptp.total_on_a @t370) @t369)))) % 0.47/0.96 (assume @p92 (forall (@list @t351 @t350 @t375 @t374) (=> @t379 (=> (_ (_ tptp.member1899387664od_a_a (_ @t378 @t374)) @t350) (and @t377 (_ (_ tptp.member2057358096od_a_a @t374) @t351)))))) % 0.47/0.96 (assume @p93 (forall (@list @t353 @t352 @t381 @t380) (=> @t385 (=> (_ (_ tptp.member567864080iset_a (_ @t384 @t380)) @t352) (and @t383 (_ (_ tptp.member340150864iset_a @t380) @t353)))))) % 0.47/0.96 (assume @p94 (forall (@list @t355 @t354 @t387 @t386) (=> @t391 (=> (_ (_ tptp.member2007374608od_a_a (_ @t390 @t386)) @t354) (and @t389 (_ (_ tptp.member1349055120od_a_a @t386) @t355)))))) % 0.47/0.96 (assume @p95 (forall (@list @t357 @t356 @t71 @t68) (=> @t394 (=> (_ (_ tptp.member340150864iset_a @t74) @t356) (and @t393 (_ (_ tptp.member_multiset_a @t68) @t357)))))) % 0.47/0.96 (assume @p96 (forall (@list @t361 @t360 @t81 @t78) (=> @t397 (=> (_ (_ tptp.member1349055120od_a_a @t84) @t360) (and @t396 (_ (_ tptp.member1755255446od_a_a @t78) @t361)))))) % 0.47/0.96 (assume @p97 (forall (@list @t365 @t364 @t61 @t58) (=> @t401 (=> (_ (_ tptp.member2057358096od_a_a @t64) @t364) (and @t400 (_ @t398 @t365)))))) % 0.47/0.96 (assume @p98 (forall (@list @t370 @t369 @t91 @t88) (=> @t406 (=> (_ @t405 @t369) (and @t404 (_ @t402 @t370)))))) % 0.47/0.96 (assume @p99 (forall (@list @t375 @t126) (= (_ @t376 (_ tptp.collec1635618130od_a_a @t126)) (_ @t126 @t375)))) % 0.47/0.96 (assume @p100 (forall (@list @t381 @t133) (= (_ @t382 (_ tptp.collec1104713362iset_a @t133)) (_ @t133 @t381)))) % 0.47/0.96 (assume @p101 (forall (@list @t387 @t140) (= (_ @t388 (_ tptp.collec8264402od_a_a @t140)) (_ @t140 @t387)))) % 0.47/0.96 (assume @p102 (forall (@list @t81 @t407) (= (_ @t395 (_ tptp.collec1948052440od_a_a @t407)) (_ @t407 @t81)))) % 0.47/0.96 (assume @p103 (forall (@list @t71 @t408) (= (_ @t392 (_ tptp.collect_multiset_a @t408)) (_ @t408 @t71)))) % 0.47/0.96 (assume @p104 (forall (@list @t91 @t409) (= (_ @t403 @t410) (_ @t409 @t91)))) % 0.47/0.96 (assume @p105 (forall (@list @t61 @t147) (= (_ @t399 @t411) (_ @t147 @t61)))) % 0.47/0.96 (assume @p106 (forall (@list @t351) (= (_ tptp.collec1635618130od_a_a (lambda (@list @t412) (_ @t413 @t351))) @t351))) % 0.47/0.96 (assume @p107 (forall (@list @t353) (= (_ tptp.collec1104713362iset_a (lambda (@list @t414) (_ @t415 @t353))) @t353))) % 0.47/0.96 (assume @p108 (forall (@list @t355) (= (_ tptp.collec8264402od_a_a (lambda (@list @t416) (_ @t417 @t355))) @t355))) % 0.47/0.96 (assume @p109 (forall (@list @t361) (= (_ tptp.collec1948052440od_a_a (lambda @t420 (_ @t419 @t361))) @t361))) % 0.47/0.96 (assume @p110 (forall (@list @t357) (= (_ tptp.collect_multiset_a (lambda @t423 (_ @t422 @t357))) @t357))) % 0.47/0.96 (assume @p111 (forall (@list @t370) (= (_ tptp.collect_a (lambda @t426 (_ @t425 @t370))) @t370))) % 0.47/0.96 (assume @p112 (forall (@list @t365) (= (_ tptp.collec645855634od_a_a (lambda @t429 (_ @t428 @t365))) @t365))) % 0.47/0.96 (assume @p113 (forall (@list @t147 @t430) (=> (forall @t431 (= (_ @t147 @t99) (_ @t430 @t99))) (= @t411 (_ tptp.collec645855634od_a_a @t430))))) % 0.47/0.96 (assume @p114 (forall (@list @t409 @t432) (=> (forall @t433 (= (_ @t409 @t119) (_ @t432 @t119))) (= @t410 (_ tptp.collect_a @t432))))) % 0.47/0.96 (assume @p115 (forall @t435 (=> @t379 (=> @t434 (_ @t322 @t351))))) % 0.47/0.96 (assume @p116 (forall @t437 (=> @t385 (=> @t436 (_ @t324 @t353))))) % 0.47/0.96 (assume @p117 (forall @t439 (=> @t391 (=> @t438 (_ @t326 @t355))))) % 0.47/0.96 (assume @p118 (forall @t441 (=> @t394 (=> @t440 (_ @t329 @t357))))) % 0.47/0.96 (assume @p119 (forall @t443 (=> @t397 (=> @t442 (_ @t333 @t361))))) % 0.47/0.96 (assume @p120 (forall @t445 (=> @t401 (=> @t444 (_ @t337 @t365))))) % 0.47/0.96 (assume @p121 (forall @t447 (=> @t406 (=> @t446 (_ @t37 @t370))))) % 0.47/0.96 (assume @p122 (forall @t435 (=> @t379 (=> @t434 (_ @t291 @t351))))) % 0.47/0.96 (assume @p123 (forall @t437 (=> @t385 (=> @t436 (_ @t297 @t353))))) % 0.47/0.96 (assume @p124 (forall @t439 (=> @t391 (=> @t438 (_ @t304 @t355))))) % 0.47/0.96 (assume @p125 (forall @t441 (=> @t394 (=> @t440 (_ @t310 @t357))))) % 0.47/0.96 (assume @p126 (forall @t443 (=> @t397 (=> @t442 (_ @t313 @t361))))) % 0.47/0.96 (assume @p127 (forall @t445 (=> @t401 (=> @t444 @t448)))) % 0.47/0.96 (assume @p128 (forall @t447 (=> @t406 (=> @t446 @t449)))) % 0.47/0.96 (assume @p129 (forall (@list @t351 @t350 @t375) (=> @t379 (=> @t377 (_ (_ tptp.member1899387664od_a_a (_ @t378 @t375)) @t350))))) % 0.47/0.96 (assume @p130 (forall (@list @t353 @t352 @t381) (=> @t385 (=> @t383 (_ (_ tptp.member567864080iset_a (_ @t384 @t381)) @t352))))) % 0.47/0.96 (assume @p131 (forall (@list @t355 @t354 @t387) (=> @t391 (=> @t389 (_ (_ tptp.member2007374608od_a_a (_ @t390 @t387)) @t354))))) % 0.47/0.96 (assume @p132 (forall (@list @t357 @t356 @t71) (=> @t394 (=> @t393 (_ (_ tptp.member340150864iset_a (_ @t73 @t71)) @t356))))) % 0.47/0.96 (assume @p133 (forall (@list @t361 @t360 @t81) (=> @t397 (=> @t396 (_ (_ tptp.member1349055120od_a_a (_ @t83 @t81)) @t360))))) % 0.47/0.96 (assume @p134 (forall (@list @t365 @t364 @t61) (=> @t401 (=> @t400 (_ (_ tptp.member2057358096od_a_a (_ @t63 @t61)) @t364))))) % 0.47/0.96 (assume @p135 (forall (@list @t370 @t369 @t91) (=> @t406 (=> @t404 (_ (_ tptp.member449909584od_a_a (_ @t94 @t91)) @t369))))) % 0.47/0.96 (assume @p136 (forall (@list @t364) (=> (forall (@list @t99 @t98 @t451) (=> @t367 (=> (_ (_ tptp.member2057358096od_a_a (_ @t366 @t451)) @t364) (_ (_ tptp.member2057358096od_a_a (_ @t100 @t451)) @t364)))) @t450))) % 0.47/0.96 (assume @p137 (forall (@list @t356) (=> (forall (@list @t106 @t105 @t453) (=> @t359 (=> (_ (_ tptp.member340150864iset_a (_ @t358 @t453)) @t356) (_ (_ tptp.member340150864iset_a (_ @t107 @t453)) @t356)))) @t452))) % 0.47/0.96 (assume @p138 (forall (@list @t360) (=> (forall (@list @t113 @t112 @t455) (=> @t363 (=> (_ (_ tptp.member1349055120od_a_a (_ @t362 @t455)) @t360) (_ (_ tptp.member1349055120od_a_a (_ @t114 @t455)) @t360)))) @t454))) % 0.47/0.96 (assume @p139 (forall (@list @t369) (=> (forall (@list @t119 @t118 @t457) (=> @t372 (=> (_ (_ tptp.member449909584od_a_a (_ @t371 @t457)) @t369) (_ (_ tptp.member449909584od_a_a (_ @t120 @t457)) @t369)))) @t456))) % 0.47/0.96 (assume @p140 (forall (@list @t364 @t264 @t271 @t265) (=> @t450 (=> @t444 (=> (_ @t275 @t364) (_ @t269 @t364)))))) % 0.47/0.96 (assume @p141 (forall (@list @t356 @t226 @t233 @t227) (=> @t452 (=> @t440 (=> (_ @t237 @t356) (_ @t231 @t356)))))) % 0.47/0.96 (assume @p142 (forall (@list @t360 @t245 @t252 @t246) (=> @t454 (=> @t442 (=> (_ @t256 @t360) (_ @t250 @t360)))))) % 0.47/0.96 (assume @p143 (forall (@list @t369 @t1 @t9 @t2) (=> @t456 (=> @t446 (=> (_ @t14 @t369) (_ @t7 @t369)))))) % 0.47/0.96 (assume @p144 (forall @t164 (=> @t162 (=> @t458 @t163)))) % 0.47/0.96 (assume @p145 (forall @t169 (=> @t167 (=> @t459 @t168)))) % 0.47/0.96 (assume @p146 (forall @t164 (=> @t163 @t458))) % 0.47/0.96 (assume @p147 (forall @t169 (=> @t168 @t459))) % 0.47/0.96 (assume @p148 (forall @t164 (=> @t172 @t458))) % 0.47/0.96 (assume @p149 (forall @t169 (=> @t173 @t459))) % 0.47/0.96 (assume @p150 (= tptp.prefer1064779160od_a_a tptp.total_1490170027od_a_a)) % 0.47/0.96 (assume @p151 @t460) % 0.47/0.96 (assume @p152 (forall (@list @t463 @t465 @t461 @t462) (=> (_ (_ tptp.member2057358096od_a_a (_ @t464 @t465)) @t461) (=> (= @t462 @t465) (_ (_ tptp.member2057358096od_a_a (_ @t464 @t462)) @t461))))) % 0.47/0.96 (assume @p153 (forall (@list @t468 @t470 @t466 @t467) (=> (_ (_ tptp.member340150864iset_a (_ @t469 @t470)) @t466) (=> (= @t467 @t470) (_ (_ tptp.member340150864iset_a (_ @t469 @t467)) @t466))))) % 0.47/0.96 (assume @p154 (forall (@list @t473 @t475 @t471 @t472) (=> (_ (_ tptp.member1349055120od_a_a (_ @t474 @t475)) @t471) (=> (= @t472 @t475) (_ (_ tptp.member1349055120od_a_a (_ @t474 @t472)) @t471))))) % 0.47/0.96 (assume @p155 (forall (@list @t478 @t480 @t476 @t477) (=> (_ (_ tptp.member449909584od_a_a (_ @t479 @t480)) @t476) (=> (= @t477 @t480) (_ (_ tptp.member449909584od_a_a (_ @t479 @t477)) @t476))))) % 0.47/0.96 (assume @p156 (forall (@list @t290 @t157 @t482 @t481) (=> (_ @t291 @t483) (_ @t293 @t481)))) % 0.47/0.96 (assume @p157 (forall (@list @t296 @t299 @t485 @t484) (=> (_ @t297 @t486) (_ @t300 @t484)))) % 0.47/0.96 (assume @p158 (forall (@list @t303 @t306 @t488 @t487) (=> (_ @t304 @t489) (_ @t307 @t487)))) % 0.47/0.96 (assume @p159 (forall (@list @t226 @t233 @t491 @t490) (=> (_ @t310 @t492) (_ @t242 @t490)))) % 0.47/0.96 (assume @p160 (forall (@list @t245 @t252 @t494 @t493) (=> (_ @t313 @t495) (_ @t261 @t493)))) % 0.47/0.96 (assume @p161 (forall (@list @t264 @t271 @t497 @t496) (=> (_ @t316 @t498) (_ @t280 @t496)))) % 0.47/0.96 (assume @p162 (forall (@list @t1 @t9 @t500 @t499) (=> (_ @t34 @t501) (_ @t20 @t499)))) % 0.47/0.96 (assume @p163 (forall (@list @t502 @t157 @t482 @t481) (=> (_ (_ tptp.member2057358096od_a_a @t502) @t483) (_ (_ tptp.member1899387664od_a_a (_ (_ tptp.produc1935643479od_a_a @t502) @t157)) @t481)))) % 0.47/0.96 (assume @p164 (forall (@list @t503 @t299 @t485 @t484) (=> (_ @t504 @t486) (_ (_ tptp.member567864080iset_a (_ (_ tptp.produc1898392407iset_a @t503) @t299)) @t484)))) % 0.47/0.96 (assume @p165 (forall (@list @t505 @t306 @t488 @t487) (=> (_ (_ tptp.member1349055120od_a_a @t505) @t489) (_ (_ tptp.member2007374608od_a_a (_ (_ tptp.produc978545495od_a_a @t505) @t306)) @t487)))) % 0.47/0.96 (assume @p166 (forall (@list @t227 @t233 @t491 @t490) (=> (_ @t506 @t492) (_ @t234 @t490)))) % 0.47/0.96 (assume @p167 (forall (@list @t246 @t252 @t494 @t493) (=> (_ @t507 @t495) (_ @t253 @t493)))) % 0.47/0.96 (assume @p168 (forall (@list @t265 @t271 @t497 @t496) (=> (_ @t508 @t498) (_ @t272 @t496)))) % 0.47/0.96 (assume @p169 (forall (@list @t2 @t9 @t500 @t499) (=> (_ @t509 @t501) (_ @t10 @t499)))) % 0.47/0.96 (assume @p170 (forall (@list @t510 @t61 @t58) (=> (_ @t510 @t64) (_ (_ (_ tptp.produc94438221_a_a_o @t510) @t61) @t58)))) % 0.47/0.96 (assume @p171 (forall @t514 (=> @t513 @t512))) % 0.47/0.96 (assume @p172 (forall @t518 (=> @t517 @t516))) % 0.47/0.96 (assume @p173 (forall @t523 (=> @t522 @t521))) % 0.47/0.96 (assume @p174 (forall (@list @t1 @t9 @t369 @t524) (= (_ @t20 @t526) (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t525) (_ @t524 @t9))) @t369)))) % 0.47/0.96 (assume @p175 (forall (@list @t1 @t9 @t356 @t527) (= (_ @t20 (_ (_ tptp.inv_im975322764et_a_a @t356) @t527)) (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a (_ @t527 @t1)) (_ @t527 @t9))) @t356)))) % 0.47/0.96 (assume @p176 (forall (@list @t226 @t233 @t369 @t528) (= (_ @t242 (_ (_ tptp.inv_im479034648iset_a @t369) @t528)) (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a (_ @t528 @t226)) (_ @t528 @t233))) @t369)))) % 0.47/0.96 (assume @p177 (forall (@list @t1 @t9 @t364 @t529) (= (_ @t20 (_ (_ tptp.inv_im777352425_a_a_a @t364) @t529)) (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t530) (_ @t529 @t9))) @t364)))) % 0.47/0.96 (assume @p178 (forall (@list @t264 @t271 @t369 @t531) (= (_ @t280 (_ (_ tptp.inv_im15016955od_a_a @t369) @t531)) (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t532) (_ @t531 @t271))) @t369)))) % 0.47/0.96 (assume @p179 (forall (@list @t226 @t233 @t356 @t533) (= (_ @t242 (_ (_ tptp.inv_im343774418iset_a @t356) @t533)) (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a (_ @t533 @t226)) (_ @t533 @t233))) @t356)))) % 0.47/0.96 (assume @p180 (forall (@list @t1 @t9 @t360 @t534) (= (_ @t20 (_ (_ tptp.inv_im1681759523_a_a_a @t360) @t534)) (_ (_ tptp.member1349055120od_a_a (_ (_ tptp.produc1859144151od_a_a (_ @t534 @t1)) (_ @t534 @t9))) @t360)))) % 0.47/0.96 (assume @p181 (forall (@list @t264 @t271 @t356 @t535) (= (_ @t280 (_ (_ tptp.inv_im1716587189od_a_a @t356) @t535)) (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a (_ @t535 @t264)) (_ @t535 @t271))) @t356)))) % 0.47/0.96 (assume @p182 (forall (@list @t226 @t233 @t364 @t536) (= (_ @t242 (_ (_ tptp.inv_im184450735iset_a @t364) @t536)) (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a (_ @t536 @t226)) (_ @t536 @t233))) @t364)))) % 0.47/0.96 (assume @p183 (forall (@list @t245 @t252 @t369 @t537) (= (_ @t261 (_ (_ tptp.inv_im941243329od_a_a @t369) @t537)) (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a (_ @t537 @t245)) (_ @t537 @t252))) @t369)))) % 0.47/0.96 (assume @p184 (forall (@list @t264 @t271) (= (_ tptp.produc1641853175od_a_a @t279) @t277))) % 0.47/0.96 (assume @p185 (forall (@list @t226 @t233) (= (_ tptp.produc506430135iset_a @t241) @t239))) % 0.47/0.96 (assume @p186 (forall (@list @t245 @t252) (= (_ tptp.produc1913956215od_a_a @t260) @t258))) % 0.47/0.96 (assume @p187 (forall @t36 (= (_ tptp.product_swap_a_a @t19) @t16))) % 0.47/0.96 (assume @p188 (= tptp.produc1653225349od_a_a tptp.produc1093061851od_a_a)) % 0.47/0.96 (assume @p189 (= tptp.produc694541532_set_a tptp.produc961951794_set_a)) % 0.47/0.96 (assume @p190 (= tptp.produc748978966_a_a_o tptp.produc1833107820_a_a_o)) % 0.47/0.96 (assume @p191 (forall @t125 (= (_ tptp.product_swap_a_a (_ tptp.product_swap_a_a @t122)) @t122))) % 0.47/0.96 (assume @p192 (forall (@list @t538) (= (_ tptp.produc1093061851od_a_a (_ tptp.produc143372156od_a_a @t538)) @t538))) % 0.47/0.96 (assume @p193 (forall (@list @t539) (= (_ tptp.produc961951794_set_a (_ tptp.produc580150227_set_a @t539)) @t539))) % 0.47/0.96 (assume @p194 (forall (@list @t519) (= (_ tptp.produc1833107820_a_a_o @t520) @t519))) % 0.47/0.96 (assume @p195 (forall (@list @t540) (= (_ tptp.produc143372156od_a_a @t541) @t540))) % 0.47/0.96 (assume @p196 (forall (@list @t542) (= (_ tptp.produc580150227_set_a @t543) @t542))) % 0.47/0.96 (assume @p197 (forall (@list @t544) (= (_ tptp.product_curry_a_a_o @t545) @t544))) % 0.47/0.96 (assume @p198 (forall (@list @t2 @t546 @t122) (=> (_ @t509 (_ (_ tptp.produc961951794_set_a @t546) @t122)) (not (forall @t124 (=> @t123 (not (_ @t509 (_ (_ @t546 @t119) @t118))))))))) % 0.47/0.96 (assume @p199 (forall (@list @t265 @t547 @t122) (=> (_ @t508 (_ (_ tptp.produc1093061851od_a_a @t547) @t122)) (not (forall @t124 (=> @t123 (not (_ @t508 (_ (_ @t547 @t119) @t118))))))))) % 0.47/0.96 (assume @p200 (forall (@list @t227 @t548 @t122) (=> (_ @t506 (_ (_ tptp.produc1828150264iset_a @t548) @t122)) (not (forall @t124 (=> @t123 (not (_ @t506 (_ (_ @t548 @t119) @t118))))))))) % 0.47/0.96 (assume @p201 (forall (@list @t2 @t549 @t109) (=> (_ @t509 (_ (_ tptp.produc747255346_set_a @t549) @t109)) (not (forall @t111 (=> @t110 (not (_ @t509 (_ (_ @t549 @t106) @t105))))))))) % 0.47/0.96 (assume @p202 (forall (@list @t246 @t550 @t122) (=> (_ @t507 (_ (_ tptp.produc1121147169od_a_a @t550) @t122)) (not (forall @t124 (=> @t123 (not (_ @t507 (_ (_ @t550 @t119) @t118))))))))) % 0.47/0.96 (assume @p203 (forall (@list @t227 @t551 @t109) (=> (_ @t506 (_ (_ tptp.produc429414904iset_a @t551) @t109)) (not (forall @t111 (=> @t110 (not (_ @t506 (_ (_ @t551 @t106) @t105))))))))) % 0.47/0.96 (assume @p204 (forall (@list @t503 @t552 @t122) (=> (_ @t504 (_ (_ tptp.produc93594587iset_a @t552) @t122)) (not (forall @t124 (=> @t123 (not (_ @t504 (_ (_ @t552 @t119) @t118))))))))) % 0.47/0.96 (assume @p205 (forall (@list @t2 @t553 @t102) (=> (_ @t509 (_ (_ tptp.produc869579762_set_a @t553) @t102)) (not (forall @t104 (=> @t103 (not (_ @t509 (_ (_ @t553 @t99) @t98))))))))) % 0.47/0.96 (assume @p206 (forall (@list @t265 @t554 @t109) (=> (_ @t508 (_ (_ tptp.produc2041367259od_a_a @t554) @t109)) (not (forall @t111 (=> @t110 (not (_ @t508 (_ (_ @t554 @t106) @t105))))))))) % 0.47/0.96 (assume @p207 (forall (@list @t227 @t555 @t102) (=> (_ @t506 (_ (_ tptp.produc734625720iset_a @t555) @t102)) (not (forall @t104 (=> @t103 (not (_ @t506 (_ (_ @t555 @t99) @t98))))))))) % 0.47/0.96 (assume @p208 (forall (@list @t540 @t55 @t53) (= (_ @t541 @t56) (_ (_ @t540 @t55) @t53)))) % 0.47/0.96 (assume @p209 (forall (@list @t542 @t55 @t53) (= (_ @t543 @t56) (_ (_ @t542 @t55) @t53)))) % 0.47/0.96 (assume @p210 (forall (@list @t544 @t55 @t53) (= (_ @t545 @t56) (_ (_ @t544 @t55) @t53)))) % 0.47/0.96 (assume @p211 (forall (@list @t461) (=> (forall (@list @t128) (not (_ (_ tptp.member2057358096od_a_a (_ @t129 @t128)) @t461))) (_ tptp.irrefl76447196od_a_a @t461)))) % 0.47/0.96 (assume @p212 (forall (@list @t466) (=> (forall (@list @t135) (not (_ (_ tptp.member340150864iset_a (_ @t136 @t135)) @t466))) (_ tptp.irrefl_multiset_a @t466)))) % 0.47/0.96 (assume @p213 (forall (@list @t471) (=> (forall (@list @t142) (not (_ (_ tptp.member1349055120od_a_a (_ @t143 @t142)) @t471))) (_ tptp.irrefl1672195874od_a_a @t471)))) % 0.47/0.96 (assume @p214 (forall @t557 (=> (forall (@list @t149) (not (_ (_ tptp.member449909584od_a_a (_ @t150 @t149)) @t476))) @t556))) % 0.47/0.96 (assume @p215 (forall @t514 (=> @t512 @t513))) % 0.47/0.96 (assume @p216 (forall @t518 (=> @t516 @t517))) % 0.47/0.96 (assume @p217 (forall @t523 (=> @t521 @t522))) % 0.47/0.96 (assume @p218 (forall (@list @t369 @t524) (=> @t456 (_ tptp.trans_a @t526)))) % 0.47/0.96 (assume @p219 (forall (@list @t9 @t1 @t365) (= (_ @t17 (_ (_ tptp.image_794773445od_a_a tptp.product_swap_a_a) @t365)) (_ @t20 @t365)))) % 0.47/0.96 (assume @p220 (forall (@list @t476 @t562 @t559 @t558) (=> @t556 (=> (_ tptp.trans_a @t476) (=> (forall @t124 (= (_ (_ @t562 @t119) @t118) @t563)) (= (_ (_ (_ tptp.multp_a @t562) @t559) @t558) (_ @t561 (_ tptp.mult_a @t476)))))))) % 0.47/0.96 (assume @p221 (forall (@list @t564 @t565) (=> (_ tptp.asym_a @t564) (=> (forall (@list @t566) (=> (forall @t572 (=> (_ @t571 @t566) (not (_ @t570 @t566)))) (_ @t565 @t566))) (_ @t565 @t564))))) % 0.47/0.96 (assume @p222 (forall @t557 (=> (forall @t152 (=> (_ (_ tptp.member449909584od_a_a @t151) @t476) (not (_ (_ tptp.member449909584od_a_a (_ @t155 @t149)) @t476)))) @t573))) % 0.47/0.96 (assume @p223 (forall (@list @t574) (=> (_ tptp.asym_a @t574) (forall @t572 (=> (_ @t571 @t574) (not (_ @t570 @t574))))))) % 0.47/0.96 (assume @p224 (= tptp.asym_a (lambda @t585 @t584))) % 0.47/0.96 (assume @p225 (forall (@list @t476 @t1 @t9) (=> @t573 (=> (_ @t20 @t476) (not (_ @t17 @t476)))))) % 0.47/0.96 (assume @p226 (forall (@list @t88 @t524 @t1 @t370) (=> @t588 (=> @t449 @t587)))) % 0.47/0.96 (assume @p227 (forall (@list @t58 @t529 @t1 @t370) (=> @t591 (=> @t449 @t590)))) % 0.47/0.96 (assume @p228 (forall (@list @t88 @t531 @t264 @t365) (=> @t594 (=> @t448 @t593)))) % 0.47/0.96 (assume @p229 (forall (@list @t58 @t595 @t264 @t365) (=> @t599 (=> @t448 @t597)))) % 0.47/0.96 (assume @p230 (forall (@list @t600 @t603 @t605 @t602) (=> @t607 (=> @t606 (= (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a (_ (_ tptp.plus_plus_multiset_a @t603) @t605)) (_ (_ tptp.plus_plus_multiset_a @t602) @t605))) @t601) @t604))))) % 0.47/0.96 (assume @p231 (forall (@list @t600 @t608 @t603 @t602) (=> @t607 (=> @t606 (= (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a (_ @t609 @t603)) (_ @t609 @t602))) @t601) @t604))))) % 0.47/0.96 (assume @p232 (forall (@list @t1 @t370 @t524) (=> @t449 (_ (_ tptp.member_a @t525) @t586)))) % 0.47/0.96 (assume @p233 (forall (@list @t1 @t370 @t529) (=> @t449 (_ (_ tptp.member449909584od_a_a @t530) @t589)))) % 0.47/0.96 (assume @p234 (forall (@list @t264 @t365 @t531) (=> @t448 (_ (_ tptp.member_a @t532) @t592)))) % 0.47/0.96 (assume @p235 (forall (@list @t264 @t365 @t595) (=> @t448 (_ (_ tptp.member449909584od_a_a @t598) @t596)))) % 0.47/0.96 (assume @p236 (forall (@list @t1 @t370 @t88 @t524) (=> @t449 (=> @t588 @t587)))) % 0.47/0.96 (assume @p237 (forall (@list @t1 @t370 @t58 @t529) (=> @t449 (=> @t591 @t590)))) % 0.47/0.96 (assume @p238 (forall (@list @t264 @t365 @t88 @t531) (=> @t448 (=> @t594 @t593)))) % 0.47/0.96 (assume @p239 (forall (@list @t264 @t365 @t58 @t595) (=> @t448 (=> @t599 @t597)))) % 0.47/0.96 (assume @p240 (forall @t612 (=> (_ @t611 @t369) (=> (_ @t611 @t600) (_ (_ tptp.total_1490170027od_a_a tptp.top_to398455383od_a_a) @t610))))) % 0.47/0.96 (assume @p241 (forall (@list @t524 @t613 @t91 @t88) (= (_ @t615 @t95) @t614))) % 0.47/0.96 (assume @p242 (forall (@list @t91 @t88 @t90 @t87 @t369 @t600) (= (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t95) @t93)) @t610) (or (_ (_ tptp.member449909584od_a_a (_ @t94 @t90)) @t369) (and @t92 (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t88) @t87)) @t600)))))) % 0.47/0.96 (assume @p243 (forall (@list @t617 @t616) (=> (_ tptp.trans_a @t617) (=> (_ tptp.trans_a @t616) (_ tptp.trans_972827014od_a_a (_ (_ tptp.lex_prod_a_a @t617) @t616)))))) % 0.47/0.96 (assume @p244 (forall @t619 (= @t618 @t349))) % 0.47/0.96 (assume @p245 (forall (@list @t91 @t88 @t476 @t524 @t613) (=> (_ @t405 @t476) (_ (_ tptp.member449909584od_a_a @t614) @t620)))) % 0.47/0.96 (assume @p246 (forall (@list @t264 @t623) (=> (_ @t316 (_ tptp.collec645855634od_a_a (_ tptp.produc1833107820_a_a_o @t623))) (_ (_ @t623 @t622) @t621)))) % 0.47/0.96 (assume @p247 (forall @t619 (= @t349 @t618))) % 0.47/0.96 (assume @p248 (forall (@list @t624) (= @t624 (_ (_ tptp.product_Pair_a_a (_ tptp.product_fst_a_a @t624)) (_ tptp.product_snd_a_a @t624))))) % 0.47/0.96 (assume @p249 (forall @t625 (= (_ tptp.product_fst_a_a @t56) @t55))) % 0.47/0.96 (assume @p250 (forall @t627 (=> (= @t626 @t91) (= @t1 @t91)))) % 0.47/0.96 (assume @p251 (forall @t625 (= (_ tptp.product_snd_a_a @t56) @t53))) % 0.47/0.96 (assume @p252 (forall @t627 (=> (= @t628 @t91) (= @t9 @t91)))) % 0.47/0.96 (assume @p253 (forall (@list @t630 @t524 @t613 @t476) (=> (_ @t631 @t620) (not (forall @t124 (=> (= @t630 (_ (_ tptp.product_Pair_a_a @t629) (_ @t613 @t118))) (not @t563))))))) % 0.47/0.96 (assume @p254 (forall (@list @t562 @t9 @t1) (=> (_ (_ @t562 @t9) @t1) (_ (_ @t562 @t628) @t626)))) % 0.47/0.96 (assume @p255 (forall (@list @t409 @t633 @t432 @t632) (=> (_ @t409 @t633) (=> (_ @t432 @t632) (and (_ @t409 (_ tptp.product_fst_a_a @t634)) (_ @t432 (_ tptp.product_snd_a_a @t634))))))) % 0.47/0.96 (assume @p256 (forall (@list @t562 @t1 @t9 @t61) (=> (_ (_ @t562 @t1) @t9) (=> (= @t61 @t19) (_ (_ @t562 (_ tptp.product_fst_a_a @t61)) (_ tptp.product_snd_a_a @t61)))))) % 0.47/0.96 (assume @p257 (forall @t636 (=> @t635 (= @t621 @t2)))) % 0.47/0.96 (assume @p258 (forall @t636 (=> @t635 (= @t622 @t9)))) % 0.47/0.96 (assume @p259 (forall (@list @t88 @t122) (= (= @t88 (_ tptp.product_snd_a_a @t122)) (exists @t639 (= @t122 (_ @t638 @t88)))))) % 0.47/0.96 (assume @p260 (forall (@list @t91 @t122) (= (= @t91 (_ tptp.product_fst_a_a @t122)) (exists (@list @t640) (= @t122 (_ @t94 @t640)))))) % 0.47/0.96 (assume @p261 (forall @t612 (=> (forall @t124 (=> @t372 (_ @t223 @t600))) (_ (_ tptp.ord_le1824328871od_a_a @t369) @t600)))) % 0.47/0.96 (assume @p262 (forall (@list @t370 @t524 @t500) (=> (forall @t433 (=> @t373 (_ (_ tptp.member_a @t629) @t500))) (_ (_ tptp.ord_less_eq_set_a @t586) @t500)))) % 0.47/0.96 (assume @p263 (forall (@list @t370 @t529 @t497) (=> (forall @t433 (=> @t373 (_ (_ tptp.member449909584od_a_a (_ @t529 @t119)) @t497))) (_ (_ tptp.ord_le1824328871od_a_a @t589) @t497)))) % 0.47/0.96 (assume @p264 (forall (@list @t365 @t531 @t500) (=> (forall @t431 (=> @t368 (_ (_ tptp.member_a (_ @t531 @t99)) @t500))) (_ (_ tptp.ord_less_eq_set_a @t592) @t500)))) % 0.47/0.96 (assume @p265 (forall (@list @t365 @t595 @t497) (=> (forall @t431 (=> @t368 (_ (_ tptp.member449909584od_a_a (_ @t595 @t99)) @t497))) (_ (_ tptp.ord_le1824328871od_a_a @t596) @t497)))) % 0.47/0.96 (assume @p266 (forall (@list @t409 @t1 @t642 @t9 @t641) (=> (_ @t409 @t1) (=> (_ (_ tptp.member449909584od_a_a (_ (_ tptp.product_Pair_a_a @t642) @t9)) (_ @t641 @t1)) (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a (_ @t6 @t642)) @t19)) (_ (_ tptp.same_fst_a_a @t409) @t641)))))) % 0.47/0.96 (assume @p267 (forall (@list @t649 @t651 @t364) (=> @t654 (not (forall (@list @t128 @t648) (=> (= @t651 (_ (_ tptp.add_ms1725977093od_a_a @t128) @t648)) (forall @t650 (=> (= @t649 (_ (_ tptp.plus_p404985124od_a_a @t648) @t645)) (not (forall @t647 (=> @t646 (_ (_ tptp.member2057358096od_a_a (_ @t644 @t128)) @t364)))))))))))) % 0.47/0.96 (assume @p268 (forall (@list @t559 @t558 @t369) (=> @t662 (not (forall (@list @t149 @t659) (=> (= @t558 (_ (_ tptp.add_mset_a @t149) @t659)) (forall @t660 (=> (= @t559 (_ (_ tptp.plus_plus_multiset_a @t659) @t655)) (not (forall @t658 (=> @t657 (_ (_ tptp.member449909584od_a_a (_ @t569 @t149)) @t369)))))))))))) % 0.47/0.96 (assume @p269 (forall (@list @t651 @t61 @t664 @t649 @t663 @t364) (=> (= @t651 @t667) (=> (= @t649 (_ @t665 @t663)) (=> (forall (@list @t127) (=> (_ (_ tptp.member449909584od_a_a @t127) (_ tptp.set_ms1818337124od_a_a @t663)) (_ (_ tptp.member2057358096od_a_a (_ (_ tptp.produc1474507607od_a_a @t127) @t61)) @t364))) @t654))))) % 0.47/0.96 (assume @p270 (forall (@list @t558 @t91 @t670 @t559 @t668 @t369) (=> (= @t558 @t673) (=> (= @t559 (_ @t671 @t668)) (=> (forall (@list @t148) (=> (_ (_ tptp.member_a @t148) @t669) (_ (_ tptp.member449909584od_a_a (_ @t155 @t91)) @t369))) @t662))))) % 0.47/0.96 (assume @p271 (forall (@list @t649 @t61 @t664 @t364) (=> (_ (_ tptp.member1349055120od_a_a (_ @t653 @t667)) @t652) (or (exists (@list @t674) (and (_ (_ tptp.member1349055120od_a_a (_ (_ tptp.produc1859144151od_a_a @t674) @t664)) @t652) (= @t649 (_ @t666 @t674)))) (exists @t650 (and (forall @t647 (=> @t646 (_ (_ tptp.member2057358096od_a_a (_ @t644 @t61)) @t364))) (= @t649 (_ @t665 @t645)))))))) % 0.47/0.96 (assume @p272 (forall (@list @t559 @t91 @t670 @t369) (=> (_ (_ tptp.member340150864iset_a (_ @t560 @t673)) @t661) (or (exists (@list @t675) (and (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a @t675) @t670)) @t661) (= @t559 (_ @t672 @t675)))) (exists @t660 (and (forall @t658 (=> @t657 (_ (_ tptp.member449909584od_a_a (_ @t569 @t91)) @t369))) (= @t559 (_ @t671 @t655)))))))) % 0.47/0.96 (assume @p273 (forall (@list @t91 @t677) (=> @t679 (not (forall (@list @t676) (not (= @t677 (_ @t672 @t676)))))))) % 0.47/0.96 (assume @p274 (forall (@list @t61 @t681) (=> @t683 (not (forall (@list @t680) (not (= @t681 (_ @t666 @t680)))))))) % 0.47/0.96 (assume @p275 (forall @t688 (=> @t687 (exists (@list @t684) (= @t558 (_ @t685 @t684)))))) % 0.47/0.96 (assume @p276 (forall @t693 (=> @t692 (exists (@list @t689) (= @t651 (_ @t690 @t689)))))) % 0.47/0.96 (assume @p277 (forall (@list @t88 @t694 @t696 @t699) (=> (= @t702 (_ @t700 @t699)) (=> @t698 @t697)))) % 0.47/0.96 (assume @p278 (forall (@list @t58 @t703 @t630 @t707) (=> (= @t710 (_ @t708 @t707)) (=> @t706 @t705)))) % 0.47/0.96 (assume @p279 (forall @t713 (=> (= @t712 @t559) (_ @t34 @t711)))) % 0.47/0.96 (assume @p280 (forall @t716 (=> (= @t715 @t649) (_ @t316 @t714)))) % 0.47/0.96 (assume @p281 (forall (@list @t91 @t677 @t694) (= (_ @t403 (_ tptp.set_mset_a (_ (_ tptp.plus_plus_multiset_a @t677) @t694))) (or @t679 (_ @t403 @t695))))) % 0.47/0.96 (assume @p282 (forall (@list @t61 @t681 @t703) (= (_ @t399 (_ tptp.set_ms1818337124od_a_a (_ (_ tptp.plus_p404985124od_a_a @t681) @t703))) (or @t683 (_ @t399 @t704))))) % 0.47/0.96 (assume @p283 (forall (@list @t369 @t558 @t559) (=> @t456 (=> (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a @t558) @t559)) @t721) (exists (@list @t719 @t718) (and (= @t559 (_ @t720 @t718)) (exists @t660 (and (= @t558 (_ @t720 @t655)) (not (= @t718 tptp.zero_zero_multiset_a)) (forall @t33 (=> (_ @t32 @t656) (exists (@list @t717) (and (_ (_ tptp.member_a @t717) (_ tptp.set_mset_a @t718)) (_ (_ tptp.member449909584od_a_a (_ @t28 @t717)) @t369))))))))))))) % 0.47/0.96 (assume @p284 (forall (@list @t722 @t668 @t369 @t723) (=> (not (= @t722 tptp.zero_zero_multiset_a)) (=> (forall @t433 (=> (_ @t225 @t669) (exists @t31 (and (_ @t30 @t726) (_ (_ tptp.member449909584od_a_a (_ @t120 @t26)) @t369))))) (_ (_ tptp.member340150864iset_a (_ (_ tptp.produc2037245207iset_a (_ @t724 @t668)) @t725)) @t721))))) % 0.47/0.96 (assume @p285 (forall (@list @t677) (=> (not (= @t677 tptp.zero_zero_multiset_a)) (not (forall @t433 (not (_ @t225 @t678))))))) % 0.47/0.96 (assume @p286 (forall (@list @t681) (=> (not (= @t681 tptp.zero_z160849828od_a_a)) (not (forall @t431 (not (_ @t221 @t682))))))) % 0.47/0.96 (assume @p287 (forall (@list @t1) (_ @t34 (_ tptp.set_mset_a @t727)))) % 0.47/0.96 (assume @p288 (forall (@list @t264) (_ @t316 (_ tptp.set_ms1818337124od_a_a @t728)))) % 0.47/0.96 (assume @p289 (forall (@list @t1 @t729 @t9) (=> (_ @t34 (_ tptp.set_mset_a @t729)) (_ @t34 (_ tptp.set_mset_a (_ (_ tptp.plus_plus_multiset_a @t730) @t729)))))) % 0.47/0.96 (assume @p290 (forall (@list @t264 @t731 @t271) (=> (_ @t316 (_ tptp.set_ms1818337124od_a_a @t731)) (_ @t316 (_ tptp.set_ms1818337124od_a_a (_ (_ tptp.plus_p404985124od_a_a @t732) @t731)))))) % 0.47/0.96 (assume @p291 (forall (@list @t1 @t729) (_ @t34 (_ tptp.set_mset_a (_ (_ tptp.plus_plus_multiset_a @t727) @t729))))) % 0.47/0.96 (assume @p292 (forall (@list @t264 @t731) (_ @t316 (_ tptp.set_ms1818337124od_a_a (_ (_ tptp.plus_p404985124od_a_a @t728) @t731))))) % 0.47/0.96 (assume @p293 (forall (@list @t1 @t558 @t734) (= (_ @t34 (_ tptp.set_mset_a (_ (_ (_ tptp.fold_m382157835iset_a tptp.plus_plus_multiset_a) @t558) @t734))) (or @t687 (exists (@list @t733) (and (_ (_ tptp.member_multiset_a @t733) (_ tptp.set_mset_multiset_a @t734)) (_ @t34 (_ tptp.set_mset_a @t733)))))))) % 0.47/0.96 (assume @p294 (forall (@list @t264 @t651 @t736) (= (_ @t316 (_ tptp.set_ms1818337124od_a_a (_ (_ (_ tptp.fold_m773816523od_a_a tptp.plus_p404985124od_a_a) @t651) @t736))) (or @t692 (exists (@list @t735) (and (_ (_ tptp.member1755255446od_a_a @t735) (_ tptp.set_ms1869569194od_a_a @t736)) (_ @t316 (_ tptp.set_ms1818337124od_a_a @t735)))))))) % 0.47/0.96 (assume @p295 (forall @t688 (=> @t687 (= (_ (_ tptp.plus_plus_multiset_a @t738) @t727) @t558)))) % 0.47/0.96 (assume @p296 (forall @t693 (=> @t692 (= (_ (_ tptp.plus_p404985124od_a_a @t740) @t728) @t651)))) % 0.47/0.96 (assume @p297 (forall (@list @t88 @t677 @t558) (=> (not (_ @t402 @t678)) (= (_ (_ tptp.minus_1649712171iset_a (_ @t701 @t558)) @t677) (_ @t701 (_ @t737 @t677)))))) % 0.47/0.96 (assume @p298 (forall (@list @t58 @t681 @t651) (=> (not (_ @t398 @t682)) (= (_ (_ tptp.minus_1257885652od_a_a (_ @t709 @t651)) @t681) (_ @t709 (_ @t739 @t681)))))) % 0.47/0.96 (assume @p299 (forall @t688 (=> @t687 (= (_ @t685 @t738) @t558)))) % 0.47/0.96 (assume @p300 (forall @t693 (=> @t692 (= (_ @t690 @t740) @t651)))) % 0.47/0.96 (assume @p301 (forall (@list @t9 @t558 @t1) (=> (_ @t37 @t686) (= (_ (_ tptp.minus_1649712171iset_a @t712) @t730) (_ @t685 (_ @t737 @t730)))))) % 0.47/0.96 (assume @p302 (forall (@list @t271 @t651 @t264) (=> (_ @t337 @t691) (= (_ (_ tptp.minus_1257885652od_a_a @t715) @t732) (_ @t690 (_ @t739 @t732)))))) % 0.47/0.96 (assume @p303 (forall (@list @t91 @t558 @t559) (=> (_ @t403 (_ tptp.set_mset_a (_ @t737 @t559))) (_ @t403 @t686)))) % 0.47/0.96 (assume @p304 (forall (@list @t61 @t651 @t649) (=> (_ @t399 (_ tptp.set_ms1818337124od_a_a (_ @t739 @t649))) (_ @t399 @t691)))) % 0.47/0.96 (assume @p305 (forall @t688 (=> (not @t687) (= @t738 @t558)))) % 0.47/0.96 (assume @p306 (forall @t693 (=> (not @t692) (= @t740 @t651)))) % 0.47/0.96 (assume @p307 (forall @t713 (=> @t687 (= (= @t738 @t559) (= @t558 (_ @t685 @t559)))))) % 0.47/0.96 (assume @p308 (forall @t716 (=> @t692 (= (= @t740 @t649) (= @t651 (_ @t690 @t649)))))) % 0.47/0.96 (assume @p309 (forall (@list @t696 @t694) (=> @t697 (not (= @t742 @t694))))) % 0.47/0.96 (assume @p310 (forall (@list @t630 @t703) (=> @t705 (not (= @t744 @t703))))) % 0.47/0.96 (assume @p311 (forall (@list @t91 @t559) (and (=> @t747 (= @t746 @t559)) (=> (not @t747) (= @t746 (_ @t672 @t559)))))) % 0.47/0.96 (assume @p312 (forall (@list @t61 @t649) (and (=> @t750 (= @t749 @t649)) (=> (not @t750) (= @t749 (_ @t666 @t649)))))) % 0.47/0.96 (assume @p313 (forall (@list @t559 @t91) (= (= @t559 @t746) @t747))) % 0.47/0.96 (assume @p314 (forall (@list @t649 @t61) (= (= @t649 @t749) @t750))) % 0.47/0.96 (assume @p315 (forall (@list @t696 @t694 @t88) (=> @t697 (=> @t698 (= (_ @t701 @t742) (_ (_ tptp.minus_1649712171iset_a @t702) @t741)))))) % 0.47/0.96 (assume @p316 (forall (@list @t630 @t703 @t58) (=> @t705 (=> @t706 (= (_ @t709 @t744) (_ (_ tptp.minus_1257885652od_a_a @t710) @t743)))))) % 0.47/0.96 (assume @p317 (forall (@list @t91 @t558) (=> (_ @t403 @t751) (= @t751 @t686)))) % 0.47/0.96 (assume @p318 (forall (@list @t61 @t651) (=> (_ @t399 @t752) (= @t752 @t691)))) % 0.47/0.96 (assume @p319 (forall (@list @t91 @t722 @t723) (=> (_ @t403 @t726) (= (_ (_ tptp.minus_1649712171iset_a @t725) @t745) (_ @t724 (_ (_ tptp.minus_1649712171iset_a @t722) @t745)))))) % 0.47/0.96 (assume @p320 (forall (@list @t61 @t753 @t754) (=> (_ @t399 (_ tptp.set_ms1818337124od_a_a @t753)) (= (_ (_ tptp.minus_1257885652od_a_a (_ @t755 @t753)) @t748) (_ @t755 (_ (_ tptp.minus_1257885652od_a_a @t753) @t748)))))) % 0.47/0.96 (assume @p321 @t756) % 0.47/0.96 (assume @p322 @t757) % 0.47/0.96 (assume @p323 (not @t758)) % 0.47/0.96 (assume @p324 @t764) % 0.47/0.96 (assume @p325 true) % 0.47/0.96 (step @p326 (= tptp.prefer1409946857od_a_a @t770) :rule refl :args (@t770)) % 0.47/0.96 (step @p327 (= tptp.prefer1608839465iset_a @t776) :rule refl :args (@t776)) % 0.47/0.96 (step @p328 (= tptp.prefer273553257od_a_a @t782) :rule refl :args (@t782)) % 0.47/0.96 (step @p329 (= tptp.prefer1571048262iset_a @t791) :rule refl :args (@t791)) % 0.47/0.96 (step @p330 (= tptp.prefer1340910575od_a_a @t800) :rule refl :args (@t800)) % 0.47/0.96 (step @p331 (= tptp.prefer1338892073od_a_a @t810) :rule refl :args (@t810)) % 0.47/0.96 (step @p332 (= tptp.prefer1292084992ence_a @t822) :rule refl :args (@t822)) % 0.47/0.96 (step @p333 (= tptp.order_359341630od_a_a @t827) :rule refl :args (@t827)) % 0.47/0.96 (step @p334 (= tptp.order_preorder_on_a @t834) :rule refl :args (@t834)) % 0.47/0.96 (step @p335 (= tptp.total_on_multiset_a @t839) :rule refl :args (@t839)) % 0.47/0.96 (step @p336 (= tptp.total_1024184433od_a_a @t844) :rule refl :args (@t844)) % 0.47/0.96 (step @p337 (= tptp.total_1490170027od_a_a @t847) :rule refl :args (@t847)) % 0.47/0.96 (step @p338 (= tptp.total_on_a @t860) :rule refl :args (@t860)) % 0.47/0.96 (step @p339 (= tptp.trans_972827014od_a_a @t863) :rule refl :args (@t863)) % 0.47/0.96 (step @p340 (= tptp.trans_multiset_a @t866) :rule refl :args (@t866)) % 0.47/0.96 (step @p341 (= tptp.trans_1520871884od_a_a @t869) :rule refl :args (@t869)) % 0.47/0.96 (step @p342 (= tptp.trans_a @t879) :rule refl :args (@t879)) % 0.47/0.96 (step @p343 (= tptp.prefer697821563od_a_a @t880) :rule refl :args (@t880)) % 0.47/0.96 (step @p344 (= tptp.prefer719835986ence_a @t883) :rule refl :args (@t883)) % 0.47/0.96 (step @p345 (= tptp.product_curry_a_a_o @t885) :rule refl :args (@t885)) % 0.47/0.96 (step @p346 (= tptp.order_1505515173od_a_a @t886) :rule refl :args (@t886)) % 0.47/0.96 (step @p347 (= tptp.order_1558116988r_on_a @t887) :rule refl :args (@t887)) % 0.47/0.96 (step @p348 (= tptp.irrefl76447196od_a_a @t889) :rule refl :args (@t889)) % 0.47/0.96 (step @p349 (= tptp.irrefl_multiset_a @t891) :rule refl :args (@t891)) % 0.47/0.96 (step @p350 (= tptp.irrefl1672195874od_a_a @t893) :rule refl :args (@t893)) % 0.47/0.96 (step @p351 (= tptp.irrefl_a @t894) :rule refl :args (@t894)) % 0.47/0.96 (step @p352 (= tptp.asym_a 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:premises (@p619)) % 0.47/0.96 (step @p621 :rule eq_resolve :premises (@p618 @p620)) % 0.47/0.96 (step @p622 :rule eq_resolve :premises (@p321 @p621)) % 0.47/0.96 (step @p623 :rule refl :args ((tptp.member449909584od_a_a @t759 tptp.relation))) % 0.47/0.96 (step @p624 :rule refl :args (tptp.relation)) % 0.47/0.96 (step @p625 :rule refl :args (@t980)) % 0.47/0.96 (step @p626 :rule cong :premises (@p625 @p624) :args (@t981)) % 0.47/0.96 (step @p627 :rule trans :premises (@p626 @p623)) % 0.47/0.96 (step @p628 :rule ho_cong :premises (@p404 @p625)) % 0.47/0.96 (step @p629 :rule ho_cong :premises (@p628 @p624)) % 0.47/0.96 (step @p630 :rule cong :premises (@p629 @p627) :args ((= (_ (_ tptp.member449909584od_a_a @t980) tptp.relation) @t981))) % 0.47/0.96 (step @p631 :rule symm :premises (@p630)) % 0.47/0.96 (step @p632 :rule refl :args (@t760)) % 0.47/0.96 (step @p633 :rule eq_resolve :premises (@p632 @p631)) % 0.47/0.96 (step @p634 :rule refl :args (@t759)) % 0.47/0.96 (step @p635 :rule cong :premises (@p634 @p625) :args ((= @t759 @t980))) % 0.47/0.96 (step @p636 :rule symm :premises (@p635)) % 0.47/0.96 (step @p637 :rule eq_resolve :premises (@p634 @p636)) % 0.47/0.96 (step @p638 :rule refl :args (tptp.member449909584od_a_a)) % 0.47/0.96 (step @p639 :rule ho_cong :premises (@p638 @p637)) % 0.47/0.96 (step @p640 :rule ho_cong :premises (@p639 @p368)) % 0.47/0.96 (step @p641 :rule trans :premises (@p640 @p633)) % 0.47/0.96 (step @p642 :rule refl :args ((tptp.member449909584od_a_a @t761 tptp.relation))) % 0.47/0.96 (step @p643 :rule refl :args (@t982)) % 0.47/0.96 (step @p644 :rule cong :premises (@p643 @p624) :args (@t983)) % 0.47/0.96 (step @p645 :rule trans :premises (@p644 @p642)) % 0.47/0.96 (step @p646 :rule ho_cong :premises (@p404 @p643)) % 0.47/0.96 (step @p647 :rule ho_cong :premises (@p646 @p624)) % 0.47/0.96 (step @p648 :rule cong :premises (@p647 @p645) :args ((= (_ (_ tptp.member449909584od_a_a @t982) tptp.relation) @t983))) % 0.47/0.96 (step @p649 :rule symm :premises (@p648)) % 0.47/0.96 (step @p650 :rule refl :args (@t762)) % 0.47/0.96 (step @p651 :rule eq_resolve :premises (@p650 @p649)) % 0.47/0.96 (step @p652 :rule refl :args (@t761)) % 0.47/0.96 (step @p653 :rule cong :premises (@p652 @p643) :args ((= @t761 @t982))) % 0.47/0.96 (step @p654 :rule symm :premises (@p653)) % 0.47/0.96 (step @p655 :rule eq_resolve :premises (@p652 @p654)) % 0.47/0.96 (step @p656 :rule ho_cong :premises (@p638 @p655)) % 0.47/0.96 (step @p657 :rule ho_cong :premises (@p656 @p368)) % 0.47/0.96 (step @p658 :rule trans :premises (@p657 @p651)) % 0.47/0.96 (step @p659 :rule nary_cong :premises (@p658 @p641) :args (@t763)) % 0.47/0.96 (step @p660 :rule cong :premises (@p659) :args (@t764)) % 0.47/0.96 (step @p661 :rule eq_resolve :premises (@p324 @p660)) % 0.47/0.96 (step @p662 :rule not_or_elim :premises (@p661) :args (0)) % 0.47/0.96 (step @p663 :rule not_or_elim :premises (@p661) :args (1)) % 0.47/0.96 (step @p664 :rule cnf_or_pos :args (@t986)) % 0.47/0.96 (step @p665 :rule reordering :premises (@p664) :args ((or @t758 @t981 @t983 @t985 @t984 @t987))) % 0.47/0.96 (step @p666 :rule chain_m_resolution :premises (@p665 @p323 @p663 @p662 @p622 @p616) :args (@t987 (@list true true true false false) (@list @t758 @t981 @t983 @t979 @t978))) % 0.47/0.96 (assume-push @p673 @t918) % 0.47/0.96 (step @p668 :rule instantiate :premises (@p610) :args ((@list tptp.x tptp.y))) % 0.47/0.96 (step-pop @p674 :rule scope :premises (@p668)) % 0.47/0.96 (step @p669 :rule process_scope :premises (@p674) :args (@t986)) % 0.47/0.96 (step @p671 :rule implies_elim :premises (@p669)) % 0.47/0.96 (step @p672 false :rule chain_m_resolution :premises (@p671 @p666 @p610) :args (false (@list true false) (@list @t986 @t918))) % 0.47/0.96 ) % 0.47/0.96 % SZS output end Proof % 0.47/0.96 % cvc5 exiting %------------------------------------------------------------------------------