0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.13/0.34 % Computer : n031.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1920 0.13/0.34 % WCLimit : 240 0.13/0.34 % DateTime : Fri Sep 5 19:32:52 EDT 2025 0.13/0.34 % CPUTime : 0.49/0.63 %----Proving TH0 121.43/121.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... 121.43/121.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 24s... 121.43/121.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 24s... 121.43/121.73 --- Run --ho-elim --full-saturate-quant at 14s... 121.43/121.73 % SZS status Theorem 121.43/121.73 % SZS output start Proof 121.43/121.73 ( 121.43/121.73 (declare-type tptp.produc1443694919lle_tv ()) 121.43/121.73 (declare-type tptp.produc696645085lle_fm ()) 121.43/121.73 (declare-type tptp.set_Pr1723822845lle_tv ()) 121.43/121.73 (declare-type tptp.set_Pr2120184979lle_fm ()) 121.43/121.73 (declare-type tptp.paraco1605129243lle_tv ()) 121.43/121.73 (declare-type tptp.nat ()) 121.43/121.73 (declare-type tptp.produc194167194tv_nat ()) 121.43/121.73 (declare-type tptp.set_Pr1725653840tv_nat ()) 121.43/121.73 (declare-type tptp.set_Pr1943077434tv_nat ()) 121.43/121.73 (declare-type tptp.set_Pr2014382200lle_tv ()) 121.43/121.73 (declare-type tptp.set_Pr1986765409at_nat ()) 121.43/121.73 (declare-type tptp.produc270694976lle_tv ()) 121.43/121.73 (declare-type tptp.set_Pr13445366lle_tv ()) 121.43/121.73 (declare-type tptp.produc1647334210lle_tv ()) 121.43/121.73 (declare-type tptp.list_char ()) 121.43/121.73 (declare-type tptp.set_Pr1357842111at_nat ()) 121.43/121.73 (declare-type tptp.set_Pr698334450lle_tv ()) 121.43/121.73 (declare-type tptp.produc1281043295at_nat ()) 121.43/121.73 (declare-type tptp.set_Pr2061825550lle_tv ()) 121.43/121.73 (declare-type tptp.set_Pr1019238018lle_fm ()) 121.43/121.73 (declare-type tptp.set_Pr1475944804lle_fm ()) 121.43/121.73 (declare-type tptp.produc1852595672lle_tv ()) 121.43/121.73 (declare-type tptp.set_Pr2012908090lle_tv ()) 121.43/121.73 (declare-type tptp.produc931990033lle_tv ()) 121.43/121.73 (declare-type tptp.set_Pr840833727at_nat ()) 121.43/121.73 (declare-type tptp.set_nat ()) 121.43/121.73 (declare-type tptp.set_Pr560526279lle_tv ()) 121.43/121.73 (declare-type tptp.set_Pa1764573435lle_tv ()) 121.43/121.73 (declare-type tptp.product_prod_nat_nat ()) 121.43/121.73 (declare-type tptp.set_Pr1490359111at_nat ()) 121.43/121.73 (declare-type tptp.paraco1604210848lle_fm ()) 121.43/121.73 (declare-type tptp.set_Pr292927124lle_tv ()) 121.43/121.73 (declare-type tptp.produc450659916lle_fm ()) 121.43/121.73 (declare-type tptp.produc596913417at_nat ()) 121.43/121.73 (declare-type tptp.produc1250255278lle_fm ()) 121.43/121.73 (declare-type tptp.produc1720769084lle_tv ()) 121.43/121.73 (declare-const tptp.produc262413013lle_tv (-> tptp.produc1443694919lle_tv tptp.paraco1604210848lle_fm)) 121.43/121.73 (declare-const tptp.produc381314067lle_tv (-> tptp.produc1443694919lle_tv tptp.list_char tptp.paraco1605129243lle_tv)) 121.43/121.73 (declare-const tptp.produc1710735575lle_fm (-> (-> tptp.list_char tptp.paraco1605129243lle_tv) tptp.paraco1604210848lle_fm tptp.produc696645085lle_fm)) 121.43/121.73 (declare-const tptp.top_to1057771083lle_tv tptp.set_Pa1764573435lle_tv) 121.43/121.73 (declare-const tptp.member266900804lle_tv (-> tptp.paraco1605129243lle_tv tptp.set_Pa1764573435lle_tv Bool)) 121.43/121.73 (declare-const tptp.paraco1147068288nge_tv (-> (-> tptp.nat tptp.nat) tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv)) 121.43/121.73 (declare-const tptp.member737151281tv_nat (-> tptp.produc194167194tv_nat tptp.set_Pr1725653840tv_nat Bool)) 121.43/121.73 (declare-const tptp.member1531318361lle_tv (-> tptp.produc1647334210lle_tv tptp.set_Pr2014382200lle_tv Bool)) 121.43/121.73 (declare-const tptp.top_top_o Bool) 121.43/121.73 (declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool)) 121.43/121.73 (declare-const tptp.produc1589291287at_nat (-> tptp.produc596913417at_nat tptp.paraco1605129243lle_tv)) 121.43/121.73 (declare-const tptp.produc500618325at_nat (-> tptp.produc596913417at_nat tptp.nat tptp.nat)) 121.43/121.73 (declare-const tptp.produc1680557635lle_tv (-> (-> tptp.nat tptp.nat) tptp.paraco1605129243lle_tv tptp.produc931990033lle_tv)) 121.43/121.73 (declare-const tptp.member813679063lle_tv (-> tptp.produc270694976lle_tv tptp.set_Pr13445366lle_tv Bool)) 121.43/121.73 (declare-const tptp.if_Par1134130401lle_tv (-> Bool tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv)) 121.43/121.73 (declare-const tptp.paraco1344940915le_Det (-> Bool tptp.paraco1605129243lle_tv)) 121.43/121.73 (declare-const tptp.paraco1325918602e_eval (-> (-> tptp.list_char tptp.paraco1605129243lle_tv) tptp.paraco1604210848lle_fm tptp.paraco1605129243lle_tv)) 121.43/121.73 (declare-const tptp.member701585322at_nat (-> tptp.product_prod_nat_nat tptp.set_Pr1986765409at_nat Bool)) 121.43/121.73 (declare-const tptp.image_326034184lle_fm (-> (-> tptp.produc1443694919lle_tv tptp.produc696645085lle_fm) tptp.set_Pr1723822845lle_tv tptp.set_Pr2120184979lle_fm)) 121.43/121.73 (declare-const tptp.produc42536895at_nat (-> (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv) (-> tptp.nat tptp.nat) tptp.produc194167194tv_nat tptp.produc194167194tv_nat)) 121.43/121.73 (declare-const tptp.produc109093078at_nat (-> (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv) tptp.produc931990033lle_tv tptp.produc931990033lle_tv)) 121.43/121.73 (declare-const tptp.total_440843542tv_nat (-> tptp.set_Pr1725653840tv_nat tptp.set_Pr1943077434tv_nat Bool)) 121.43/121.73 (declare-const tptp.lex_pr1785529980tv_nat (-> tptp.set_Pr2014382200lle_tv tptp.set_Pr1986765409at_nat tptp.set_Pr1943077434tv_nat)) 121.43/121.73 (declare-const tptp.image_1200372424lle_tv (-> (-> tptp.produc194167194tv_nat tptp.produc270694976lle_tv) tptp.set_Pr1725653840tv_nat tptp.set_Pr13445366lle_tv)) 121.43/121.73 (declare-const tptp.produc72207551lle_tv (-> (-> tptp.paraco1605129243lle_tv tptp.nat) (-> tptp.nat tptp.paraco1605129243lle_tv) tptp.produc194167194tv_nat tptp.produc270694976lle_tv)) 121.43/121.73 (declare-const tptp.wf_Par1378404612lle_tv (-> tptp.set_Pr2014382200lle_tv Bool)) 121.43/121.73 (declare-const tptp.image_1221801032lle_tv (-> (-> tptp.produc1647334210lle_tv tptp.produc1647334210lle_tv) tptp.set_Pr2014382200lle_tv tptp.set_Pr2014382200lle_tv)) 121.43/121.73 (declare-const tptp.produc1942165868lle_fm (-> (-> (-> tptp.list_char tptp.paraco1605129243lle_tv) tptp.list_char tptp.paraco1605129243lle_tv) tptp.produc696645085lle_fm tptp.produc696645085lle_fm)) 121.43/121.73 (declare-const tptp.lex_pr1093414955lle_tv (-> tptp.set_Pr1357842111at_nat tptp.set_Pr2014382200lle_tv tptp.set_Pr698334450lle_tv)) 121.43/121.73 (declare-const tptp.produc780837143at_nat (-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) tptp.produc1281043295at_nat)) 121.43/121.73 (declare-const tptp.lex_pr2001015487lle_fm (-> tptp.set_Pr2061825550lle_tv tptp.set_Pr1019238018lle_fm tptp.set_Pr1475944804lle_fm)) 121.43/121.73 (declare-const tptp.produc1297923922lle_tv (-> (-> tptp.list_char tptp.paraco1605129243lle_tv) (-> tptp.list_char tptp.paraco1605129243lle_tv) tptp.produc1852595672lle_tv)) 121.43/121.73 (declare-const tptp.image_1724396928at_nat (-> (-> tptp.produc931990033lle_tv tptp.produc596913417at_nat) tptp.set_Pr560526279lle_tv tptp.set_Pr840833727at_nat)) 121.43/121.73 (declare-const tptp.total_92239038lle_tv (-> tptp.set_Pr2014382200lle_tv tptp.set_Pr2012908090lle_tv Bool)) 121.43/121.73 (declare-const tptp.lex_pr567812260lle_tv (-> tptp.set_Pr2014382200lle_tv tptp.set_Pr2014382200lle_tv tptp.set_Pr2012908090lle_tv)) 121.43/121.73 (declare-const tptp.inv_im719552961lle_tv (-> tptp.set_Pr2014382200lle_tv (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv) tptp.set_Pr2014382200lle_tv)) 121.43/121.73 (declare-const tptp.top_to1411004326lle_tv tptp.set_Pr13445366lle_tv) 121.43/121.73 (declare-const tptp.total_1781621663lle_tv (-> tptp.set_Pa1764573435lle_tv tptp.set_Pr2014382200lle_tv Bool)) 121.43/121.73 (declare-const tptp.produc1250721397at_nat (-> (-> tptp.nat tptp.paraco1605129243lle_tv) (-> tptp.nat tptp.nat) tptp.product_prod_nat_nat tptp.produc194167194tv_nat)) 121.43/121.73 (declare-const tptp.p1 tptp.paraco1604210848lle_fm) 121.43/121.73 (declare-const tptp.collec835549234lle_fm (-> (-> tptp.produc696645085lle_fm Bool) tptp.set_Pr2120184979lle_fm)) 121.43/121.73 (declare-const tptp.paraco55203475lid_in (-> tptp.set_nat tptp.paraco1604210848lle_fm Bool)) 121.43/121.73 (declare-const tptp.f (-> tptp.nat tptp.nat)) 121.43/121.73 (declare-const tptp.collec1102043437lle_tv (-> (-> tptp.produc1852595672lle_tv Bool) tptp.set_Pr2061825550lle_tv)) 121.43/121.73 (declare-const tptp.p2 tptp.paraco1604210848lle_fm) 121.43/121.73 (declare-const tptp.image_769496456lle_tv (-> (-> tptp.produc596913417at_nat tptp.produc931990033lle_tv) tptp.set_Pr840833727at_nat tptp.set_Pr560526279lle_tv)) 121.43/121.73 (declare-const tptp.produc1633679363at_nat (-> tptp.paraco1605129243lle_tv (-> tptp.nat tptp.nat) tptp.produc596913417at_nat)) 121.43/121.73 (declare-const tptp.image_nat_nat (-> (-> tptp.nat tptp.nat) tptp.set_nat tptp.set_nat)) 121.43/121.73 (declare-const tptp.image_1154804148lle_tv (-> (-> tptp.produc696645085lle_fm tptp.produc931990033lle_tv) tptp.set_Pr2120184979lle_fm tptp.set_Pr560526279lle_tv)) 121.43/121.73 (declare-const tptp.image_376325286tv_nat (-> (-> tptp.paraco1605129243lle_tv tptp.nat) tptp.set_Pa1764573435lle_tv tptp.set_nat)) 121.43/121.73 (declare-const tptp.top_to775056195lle_fm tptp.set_Pr2120184979lle_fm) 121.43/121.73 (declare-const tptp.produc225513635lle_tv (-> tptp.produc931990033lle_tv tptp.produc596913417at_nat)) 121.43/121.73 (declare-const tptp.image_1151963140lle_tv (-> (-> tptp.nat tptp.paraco1605129243lle_tv) tptp.set_nat tptp.set_Pa1764573435lle_tv)) 121.43/121.73 (declare-const tptp.inv_im1292588663lle_tv (-> tptp.set_Pr1986765409at_nat (-> tptp.paraco1605129243lle_tv tptp.nat) tptp.set_Pr2014382200lle_tv)) 121.43/121.73 (declare-const tptp.ord_le1784136743lle_tv (-> tptp.set_Pr560526279lle_tv tptp.set_Pr560526279lle_tv Bool)) 121.43/121.73 (declare-const tptp.lex_prod_nat_nat (-> tptp.set_Pr1986765409at_nat tptp.set_Pr1986765409at_nat tptp.set_Pr1490359111at_nat)) 121.43/121.73 (declare-const tptp.produc1000205111lle_fm (-> tptp.produc696645085lle_fm tptp.produc1443694919lle_tv)) 121.43/121.73 (declare-const tptp.paraco445776468le_Neg (-> tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm)) 121.43/121.73 (declare-const tptp.produc1943344577lle_tv (-> tptp.paraco1604210848lle_fm (-> tptp.list_char tptp.paraco1605129243lle_tv) tptp.produc1443694919lle_tv)) 121.43/121.73 (declare-const tptp.image_924970994lle_tv (-> (-> tptp.produc696645085lle_fm tptp.produc1443694919lle_tv) tptp.set_Pr2120184979lle_fm tptp.set_Pr1723822845lle_tv)) 121.43/121.73 (declare-const tptp.produc752649287e_tv_o (-> (-> tptp.produc931990033lle_tv Bool) (-> tptp.nat tptp.nat) tptp.paraco1605129243lle_tv Bool)) 121.43/121.73 (declare-const tptp.produc1566550641lle_tv (-> (-> (-> tptp.list_char tptp.paraco1605129243lle_tv) tptp.nat tptp.nat) (-> tptp.paraco1604210848lle_fm tptp.paraco1605129243lle_tv) tptp.produc696645085lle_fm tptp.produc931990033lle_tv)) 121.43/121.73 (declare-const tptp.paraco1389086619le_Eql (-> tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm)) 121.43/121.73 (declare-const tptp.member74361182lle_tv (-> tptp.produc1443694919lle_tv tptp.set_Pr1723822845lle_tv Bool)) 121.43/121.73 (declare-const tptp.total_1775715973at_nat (-> tptp.set_Pr1986765409at_nat tptp.set_Pr1490359111at_nat Bool)) 121.43/121.73 (declare-const tptp.the_inv_into_nat_nat (-> tptp.set_nat (-> tptp.nat tptp.nat) tptp.nat tptp.nat)) 121.43/121.73 (declare-const tptp.member1569366824lle_tv (-> tptp.produc931990033lle_tv tptp.set_Pr560526279lle_tv Bool)) 121.43/121.73 (declare-const tptp.image_988201162lle_tv (-> (-> tptp.produc270694976lle_tv tptp.produc1647334210lle_tv) tptp.set_Pr13445366lle_tv tptp.set_Pr2014382200lle_tv)) 121.43/121.73 (declare-const tptp.image_53754658tv_nat (-> (-> tptp.produc270694976lle_tv tptp.produc194167194tv_nat) tptp.set_Pr13445366lle_tv tptp.set_Pr1725653840tv_nat)) 121.43/121.73 (declare-const tptp.produc313957681lle_tv (-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.paraco1605129243lle_tv) tptp.product_prod_nat_nat tptp.produc270694976lle_tv)) 121.43/121.73 (declare-const tptp.member1234290208at_nat (-> tptp.produc596913417at_nat tptp.set_Pr840833727at_nat Bool)) 121.43/121.73 (declare-const tptp.paraco1745535428le_Eql (-> tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm)) 121.43/121.73 (declare-const tptp.produc1900967599lle_fm (-> (-> (-> tptp.list_char tptp.paraco1605129243lle_tv) tptp.list_char tptp.paraco1605129243lle_tv) (-> tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm) tptp.produc696645085lle_fm tptp.produc696645085lle_fm)) 121.43/121.73 (declare-const tptp.image_1674248956lle_tv (-> (-> tptp.product_prod_nat_nat tptp.produc270694976lle_tv) tptp.set_Pr1986765409at_nat tptp.set_Pr13445366lle_tv)) 121.43/121.73 (declare-const tptp.member1474794996lle_fm (-> tptp.produc696645085lle_fm tptp.set_Pr2120184979lle_fm Bool)) 121.43/121.73 (declare-const tptp.top_to975729152tv_nat tptp.set_Pr1725653840tv_nat) 121.43/121.73 (declare-const tptp.image_807538418lle_fm (-> (-> tptp.produc696645085lle_fm tptp.produc696645085lle_fm) tptp.set_Pr2120184979lle_fm tptp.set_Pr2120184979lle_fm)) 121.43/121.73 (declare-const tptp.produc210389789lle_tv (-> (-> tptp.nat tptp.paraco1605129243lle_tv) (-> tptp.nat tptp.paraco1605129243lle_tv) tptp.product_prod_nat_nat tptp.produc1647334210lle_tv)) 121.43/121.73 (declare-const tptp.image_335818702lle_tv (-> (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv) tptp.set_Pa1764573435lle_tv tptp.set_Pa1764573435lle_tv)) 121.43/121.73 (declare-const tptp.top_to449985143lle_tv tptp.set_Pr560526279lle_tv) 121.43/121.73 (declare-const tptp.lex_pr413684186lle_tv (-> tptp.set_Pr1986765409at_nat tptp.set_Pr2014382200lle_tv tptp.set_Pr292927124lle_tv)) 121.43/121.73 (declare-const tptp.order_769474267at_nat (-> (-> tptp.nat tptp.nat) Bool)) 121.43/121.73 (declare-const tptp.total_517371324lle_tv (-> tptp.set_Pr13445366lle_tv tptp.set_Pr292927124lle_tv Bool)) 121.43/121.73 (declare-const tptp.paraco69239110le_Con (-> tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm)) 121.43/121.73 (declare-const tptp.member334644067lle_fm (-> tptp.produc450659916lle_fm tptp.set_Pr1019238018lle_fm Bool)) 121.43/121.73 (declare-const tptp.image_1507992062lle_tv (-> (-> tptp.product_prod_nat_nat tptp.produc1647334210lle_tv) tptp.set_Pr1986765409at_nat tptp.set_Pr2014382200lle_tv)) 121.43/121.73 (declare-const tptp.i (-> tptp.list_char tptp.paraco1605129243lle_tv)) 121.43/121.73 (declare-const tptp.paraco2051596139lle_tv (-> (-> Bool tptp.paraco1605129243lle_tv) (-> tptp.nat tptp.paraco1605129243lle_tv) tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv)) 121.43/121.73 (declare-const tptp.same_f1138187694lle_tv (-> (-> (-> tptp.nat tptp.nat) Bool) (-> (-> tptp.nat tptp.nat) tptp.set_Pr2014382200lle_tv) tptp.set_Pr698334450lle_tv)) 121.43/121.73 (declare-const tptp.top_top_set_nat tptp.set_nat) 121.43/121.73 (declare-const tptp.same_f1581085506lle_fm (-> (-> (-> tptp.list_char tptp.paraco1605129243lle_tv) Bool) (-> (-> tptp.list_char tptp.paraco1605129243lle_tv) tptp.set_Pr1019238018lle_fm) tptp.set_Pr1475944804lle_fm)) 121.43/121.73 (declare-const tptp.paraco1480028776le_Pro (-> tptp.list_char tptp.paraco1604210848lle_fm)) 121.43/121.73 (declare-const tptp.total_on_nat (-> tptp.set_nat tptp.set_Pr1986765409at_nat Bool)) 121.43/121.73 (declare-const tptp.paraco367965286_Truth tptp.paraco1604210848lle_fm) 121.43/121.73 (declare-const tptp.top_to1555900337at_nat tptp.set_Pr1986765409at_nat) 121.43/121.73 (declare-const tptp.member146333935lle_tv (-> tptp.produc1852595672lle_tv tptp.set_Pr2061825550lle_tv Bool)) 121.43/121.73 (declare-const tptp.top_to1871154984lle_tv tptp.set_Pr2014382200lle_tv) 121.43/121.73 (declare-const tptp.inv_image_nat_nat (-> tptp.set_Pr1986765409at_nat (-> tptp.nat tptp.nat) tptp.set_Pr1986765409at_nat)) 121.43/121.73 (declare-const tptp.produc2101297531lle_tv (-> (-> tptp.nat tptp.nat) (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv) tptp.produc270694976lle_tv tptp.produc270694976lle_tv)) 121.43/121.73 (declare-const tptp.produc1636169559lle_tv (-> tptp.produc931990033lle_tv tptp.nat tptp.nat)) 121.43/121.73 (declare-const tptp.ord_le241064091lle_tv (-> tptp.set_Pa1764573435lle_tv tptp.set_Pa1764573435lle_tv Bool)) 121.43/121.73 (declare-const tptp.produc2057188974lle_tv (-> tptp.produc931990033lle_tv tptp.produc931990033lle_tv tptp.produc1720769084lle_tv)) 121.43/121.73 (declare-const tptp.paraco793048302_Indet (-> tptp.nat tptp.paraco1605129243lle_tv)) 121.43/121.73 (declare-const tptp.member1339857875lle_tv (-> tptp.produc1720769084lle_tv tptp.set_Pr698334450lle_tv Bool)) 121.43/121.73 (declare-const tptp.produc2058540732lle_tv (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv tptp.produc1647334210lle_tv)) 121.43/121.73 (declare-const tptp.top_to632227436_nat_o (-> tptp.product_prod_nat_nat Bool)) 121.43/121.73 (declare-const tptp.wf_nat (-> tptp.set_Pr1986765409at_nat Bool)) 121.43/121.73 (declare-const tptp.collec7649004at_nat (-> (-> tptp.product_prod_nat_nat Bool) tptp.set_Pr1986765409at_nat)) 121.43/121.73 (declare-const tptp.collec1624074086lle_tv (-> (-> tptp.produc931990033lle_tv Bool) tptp.set_Pr560526279lle_tv)) 121.43/121.73 (declare-const tptp.top_to138697918lle_tv tptp.set_Pr2061825550lle_tv) 121.43/121.73 (declare-const tptp.the_in452116896lle_tv (-> tptp.set_Pa1764573435lle_tv (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv) tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv)) 121.43/121.73 (declare-const tptp.produc532909085lle_tv (-> (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat) (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv) tptp.produc931990033lle_tv tptp.produc931990033lle_tv)) 121.43/121.73 (declare-const tptp.image_1751508608lle_tv (-> (-> tptp.produc931990033lle_tv tptp.produc931990033lle_tv) tptp.set_Pr560526279lle_tv tptp.set_Pr560526279lle_tv)) 121.43/121.73 (declare-const tptp.image_1597721174tv_nat (-> (-> tptp.product_prod_nat_nat tptp.produc194167194tv_nat) tptp.set_Pr1986765409at_nat tptp.set_Pr1725653840tv_nat)) 121.43/121.73 (declare-const tptp.produc189459613tv_nat (-> (-> tptp.nat tptp.paraco1605129243lle_tv) (-> tptp.paraco1605129243lle_tv tptp.nat) tptp.produc270694976lle_tv tptp.produc194167194tv_nat)) 121.43/121.73 (declare-const tptp.image_1805124128at_nat (-> (-> tptp.produc194167194tv_nat tptp.product_prod_nat_nat) tptp.set_Pr1725653840tv_nat tptp.set_Pr1986765409at_nat)) 121.43/121.73 (declare-const tptp.produc1807466521lle_tv (-> (-> tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm) tptp.produc696645085lle_fm tptp.produc696645085lle_fm)) 121.43/121.73 (declare-const tptp.produc547496597lle_tv (-> tptp.produc931990033lle_tv tptp.paraco1605129243lle_tv)) 121.43/121.73 (declare-const tptp.produc386540311at_nat (-> (-> tptp.paraco1605129243lle_tv tptp.nat) (-> tptp.nat tptp.nat) tptp.produc194167194tv_nat tptp.product_prod_nat_nat)) 121.43/121.73 (declare-const tptp.produc148705065lle_fm (-> tptp.produc696645085lle_fm tptp.paraco1604210848lle_fm)) 121.43/121.73 (declare-const tptp.image_149830562lle_tv (-> (-> tptp.produc270694976lle_tv tptp.produc270694976lle_tv) tptp.set_Pr13445366lle_tv tptp.set_Pr13445366lle_tv)) 121.43/121.73 (declare-const tptp.inj_on1179712058tv_nat (-> (-> tptp.paraco1605129243lle_tv tptp.nat) tptp.set_Pa1764573435lle_tv Bool)) 121.43/121.73 (declare-const tptp.produc951033137lle_fm (-> (-> (-> tptp.nat tptp.nat) tptp.list_char tptp.paraco1605129243lle_tv) (-> tptp.paraco1605129243lle_tv tptp.paraco1604210848lle_fm) tptp.produc931990033lle_tv tptp.produc696645085lle_fm)) 121.43/121.73 (declare-const tptp.ord_less_eq_set_nat (-> tptp.set_nat tptp.set_nat Bool)) 121.43/121.73 (declare-const tptp.accp_P2085826120lle_tv (-> (-> tptp.produc931990033lle_tv tptp.produc931990033lle_tv Bool) tptp.produc931990033lle_tv Bool)) 121.43/121.73 (declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.set_nat)) 121.43/121.73 (declare-const tptp.produc505105722at_nat (-> (-> tptp.nat tptp.nat) (-> tptp.nat tptp.nat) tptp.product_prod_nat_nat tptp.product_prod_nat_nat)) 121.43/121.73 (declare-const tptp.image_815163717at_nat (-> (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat) tptp.set_Pr1986765409at_nat tptp.set_Pr1986765409at_nat)) 121.43/121.73 (declare-const tptp.collec1111687558lle_tv (-> (-> tptp.paraco1605129243lle_tv Bool) tptp.set_Pa1764573435lle_tv)) 121.43/121.73 (declare-const tptp.member1592865093lle_fm (-> tptp.produc1250255278lle_fm tptp.set_Pr1475944804lle_fm Bool)) 121.43/121.73 (declare-const tptp.paraco1632582009tv_rel (-> tptp.produc931990033lle_tv tptp.produc931990033lle_tv Bool)) 121.43/121.73 (declare-const tptp.produc29804011lle_fm (-> tptp.produc696645085lle_fm tptp.list_char tptp.paraco1605129243lle_tv)) 121.43/121.73 (declare-const tptp.produc407632608lle_fm (-> tptp.produc696645085lle_fm tptp.produc696645085lle_fm tptp.produc1250255278lle_fm)) 121.43/121.73 (declare-const tptp.produc1126104134lle_fm (-> tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm tptp.produc450659916lle_fm)) 121.43/121.73 (declare-const tptp.ord_le1007985907lle_fm (-> tptp.set_Pr2120184979lle_fm tptp.set_Pr2120184979lle_fm Bool)) 121.43/121.73 (declare-const tptp.image_1585092542lle_fm (-> (-> tptp.produc931990033lle_tv tptp.produc696645085lle_fm) tptp.set_Pr560526279lle_tv tptp.set_Pr2120184979lle_fm)) 121.43/121.73 (declare-const tptp.top_to900819589_nat_o (-> tptp.produc194167194tv_nat Bool)) 121.43/121.73 (declare-const tptp.collec848462447tv_nat (-> (-> tptp.produc194167194tv_nat Bool) tptp.set_Pr1725653840tv_nat)) 121.43/121.73 (declare-const tptp.top_to1541413903at_nat tptp.set_Pr1357842111at_nat) 121.43/121.73 (declare-const tptp.member112824072at_nat (-> tptp.produc1281043295at_nat tptp.set_Pr1357842111at_nat Bool)) 121.43/121.73 (declare-const tptp.inv_im516950809tv_nat (-> tptp.set_Pr2014382200lle_tv (-> tptp.nat tptp.paraco1605129243lle_tv) tptp.set_Pr1986765409at_nat)) 121.43/121.73 (declare-const tptp.top_to1889334367e_tv_o (-> tptp.produc270694976lle_tv Bool)) 121.43/121.73 (declare-const tptp.collec924990229lle_tv (-> (-> tptp.produc270694976lle_tv Bool) tptp.set_Pr13445366lle_tv)) 121.43/121.73 (declare-const tptp.produc939316703lle_tv (-> (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat) tptp.produc931990033lle_tv tptp.produc931990033lle_tv)) 121.43/121.73 (declare-const tptp.produc1975500101lle_tv (-> (-> tptp.nat tptp.paraco1605129243lle_tv) (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv) tptp.produc270694976lle_tv tptp.produc1647334210lle_tv)) 121.43/121.73 (declare-const tptp.produc1685803475tv_nat (-> (-> tptp.nat tptp.nat) (-> tptp.paraco1605129243lle_tv tptp.nat) tptp.produc270694976lle_tv tptp.product_prod_nat_nat)) 121.43/121.73 (declare-const tptp.image_1787705850at_nat (-> (-> tptp.produc270694976lle_tv tptp.product_prod_nat_nat) tptp.set_Pr13445366lle_tv tptp.set_Pr1986765409at_nat)) 121.43/121.73 (declare-const tptp.collec791369802at_nat (-> (-> tptp.produc1281043295at_nat Bool) tptp.set_Pr1357842111at_nat)) 121.43/121.73 (declare-const tptp.produc1345917071lle_tv (-> (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv) (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv) tptp.produc1647334210lle_tv tptp.produc1647334210lle_tv)) 121.43/121.73 (declare-const tptp.produc275353523e_fm_o (-> (-> tptp.produc696645085lle_fm Bool) (-> tptp.list_char tptp.paraco1605129243lle_tv) tptp.paraco1604210848lle_fm Bool)) 121.43/121.73 (define tptp.produc1232814113lle_tv () (let ((_let_1 (@var "P2" tptp.produc1443694919lle_tv))) (lambda (@list _let_1) (_ (_ tptp.produc1710735575lle_fm (_ tptp.produc381314067lle_tv _let_1)) (_ tptp.produc262413013lle_tv _let_1))))) 121.43/121.73 (define tptp.top_to1299250770e_tv_o () (let ((_let_1 (@var "X4" tptp.paraco1605129243lle_tv))) (lambda (@list _let_1) (_ (_ tptp.member266900804lle_tv _let_1) tptp.top_to1057771083lle_tv)))) 121.43/121.73 (define tptp.paraco761681009ge_int () (let ((_let_1 (@var "S" tptp.list_char))) (let ((_let_2 (@var "I2" (-> tptp.list_char tptp.paraco1605129243lle_tv)))) (let ((_let_3 (@var "F2" (-> tptp.nat tptp.nat)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.paraco1147068288nge_tv _let_3) (_ _let_2 _let_1))))))) 121.43/121.73 (define tptp.inj_on552895452tv_nat () (let ((_let_1 (@var "Y4" tptp.produc194167194tv_nat))) (let ((_let_2 (@var "X4" tptp.produc194167194tv_nat))) (let ((_let_3 (@var "F2" (-> tptp.produc194167194tv_nat tptp.produc194167194tv_nat)))) (let ((_let_4 (@var "A3" tptp.set_Pr1725653840tv_nat))) (lambda (@list _let_3 _let_4) (forall (@list _let_2) (=> (_ (_ tptp.member737151281tv_nat _let_2) _let_4) (forall (@list _let_1) (=> (_ (_ tptp.member737151281tv_nat _let_1) _let_4) (=> (= (_ _let_3 _let_2) (_ _let_3 _let_1)) (= _let_2 _let_1)))))))))))) 121.43/121.73 (define tptp.inj_on2112487900lle_tv () (let ((_let_1 (@var "Y4" tptp.produc1647334210lle_tv))) (let ((_let_2 (@var "X4" tptp.produc1647334210lle_tv))) (let ((_let_3 (@var "F2" (-> tptp.produc1647334210lle_tv tptp.produc1647334210lle_tv)))) (let ((_let_4 (@var "A3" tptp.set_Pr2014382200lle_tv))) (lambda (@list _let_3 _let_4) (forall (@list _let_2) (=> (_ (_ tptp.member1531318361lle_tv _let_2) _let_4) (forall (@list _let_1) (=> (_ (_ tptp.member1531318361lle_tv _let_1) _let_4) (=> (= (_ _let_3 _let_2) (_ _let_3 _let_1)) (= _let_2 _let_1)))))))))))) 121.43/121.73 (define tptp.top_top_nat_o () (lambda (@list (@var "X4" tptp.nat)) tptp.top_top_o)) 121.43/121.73 (define tptp.inj_on772319074lle_tv () (let ((_let_1 (@var "Y4" tptp.paraco1605129243lle_tv))) (let ((_let_2 (@var "X4" tptp.paraco1605129243lle_tv))) (let ((_let_3 (@var "F2" (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv)))) (let ((_let_4 (@var "A3" tptp.set_Pa1764573435lle_tv))) (lambda (@list _let_3 _let_4) (forall (@list _let_2) (=> (_ (_ tptp.member266900804lle_tv _let_2) _let_4) (forall (@list _let_1) (=> (_ (_ tptp.member266900804lle_tv _let_1) _let_4) (=> (= (_ _let_3 _let_2) (_ _let_3 _let_1)) (= _let_2 _let_1)))))))))))) 121.43/121.73 (define tptp.inj_on1955349912lle_tv () (let ((_let_1 (@var "Y4" tptp.nat))) (let ((_let_2 (@var "X4" tptp.nat))) (let ((_let_3 (@var "F2" (-> tptp.nat tptp.paraco1605129243lle_tv)))) (let ((_let_4 (@var "A3" tptp.set_nat))) (lambda (@list _let_3 _let_4) (forall (@list _let_2) (=> (_ (_ tptp.member_nat _let_2) _let_4) (forall (@list _let_1) (=> (_ (_ tptp.member_nat _let_1) _let_4) (=> (= (_ _let_3 _let_2) (_ _let_3 _let_1)) (= _let_2 _let_1)))))))))))) 121.43/121.73 (define tptp.inj_on_nat_nat () (let ((_let_1 (@var "Y4" tptp.nat))) (let ((_let_2 (@var "X4" tptp.nat))) (let ((_let_3 (@var "F2" (-> tptp.nat tptp.nat)))) (let ((_let_4 (@var "A3" tptp.set_nat))) (lambda (@list _let_3 _let_4) (forall (@list _let_2) (=> (_ (_ tptp.member_nat _let_2) _let_4) (forall (@list _let_1) (=> (_ (_ tptp.member_nat _let_1) _let_4) (=> (= (_ _let_3 _let_2) (_ _let_3 _let_1)) (= _let_2 _let_1)))))))))))) 121.43/121.73 (define tptp.produc178635363at_nat () (let ((_let_1 (@var "P2" tptp.produc596913417at_nat))) (lambda (@list _let_1) (_ (_ tptp.produc1680557635lle_tv (_ tptp.produc500618325at_nat _let_1)) (_ tptp.produc1589291287at_nat _let_1))))) 121.43/121.73 (define tptp.inj_on1745913142lle_tv () (let ((_let_1 (@var "Y4" tptp.produc270694976lle_tv))) (let ((_let_2 (@var "X4" tptp.produc270694976lle_tv))) (let ((_let_3 (@var "F2" (-> tptp.produc270694976lle_tv tptp.produc270694976lle_tv)))) (let ((_let_4 (@var "A3" tptp.set_Pr13445366lle_tv))) (lambda (@list _let_3 _let_4) (forall (@list _let_2) (=> (_ (_ tptp.member813679063lle_tv _let_2) _let_4) (forall (@list _let_1) (=> (_ (_ tptp.member813679063lle_tv _let_1) _let_4) (=> (= (_ _let_3 _let_2) (_ _let_3 _let_1)) (= _let_2 _let_1)))))))))))) 121.43/121.73 (define tptp.produc234482697lle_tv () (let ((_let_1 (@var "F23" tptp.paraco1605129243lle_tv))) (let ((_let_2 (@var "F12" tptp.paraco1605129243lle_tv))) (let ((_let_3 (@var "Bool2" Bool))) (lambda (@list _let_2 _let_1 _let_3) (_ (_ (_ tptp.if_Par1134130401lle_tv _let_3) _let_2) _let_1)))))) 121.43/121.73 (define tptp.paraco327635598_valid () (let ((_let_1 (@var "P2" tptp.paraco1604210848lle_fm))) (let ((_let_2 (@var "I2" (-> tptp.list_char tptp.paraco1605129243lle_tv)))) (lambda (@list _let_1) (forall (@list _let_2) (= (_ (_ tptp.paraco1325918602e_eval _let_2) _let_1) (_ tptp.paraco1344940915le_Det true))))))) 121.43/121.73 (define tptp.inj_on26176689at_nat () (let ((_let_1 (@var "Y4" tptp.product_prod_nat_nat))) (let ((_let_2 (@var "X4" tptp.product_prod_nat_nat))) (let ((_let_3 (@var "F2" (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat)))) (let ((_let_4 (@var "A3" tptp.set_Pr1986765409at_nat))) (lambda (@list _let_3 _let_4) (forall (@list _let_2) (=> (_ (_ tptp.member701585322at_nat _let_2) _let_4) (forall (@list _let_1) (=> (_ (_ tptp.member701585322at_nat _let_1) _let_4) (=> (= (_ _let_3 _let_2) (_ _let_3 _let_1)) (= _let_2 _let_1)))))))))))) 121.43/121.73 (define @t1 () (@var "Q3" tptp.paraco1604210848lle_fm)) 121.43/121.73 (define @t2 () (@var "P4" tptp.paraco1604210848lle_fm)) 121.43/121.73 (define @t3 () (_ (_ tptp.paraco1745535428le_Eql @t2) @t1)) 121.43/121.73 (define @t4 () (@var "X" tptp.paraco1604210848lle_fm)) 121.43/121.73 (define @t5 () (@list @t2 @t1)) 121.43/121.73 (define @t6 () (_ (_ tptp.paraco1389086619le_Eql @t2) @t1)) 121.43/121.73 (define @t7 () (_ (_ tptp.paraco69239110le_Con @t2) @t1)) 121.43/121.73 (define @t8 () (_ tptp.paraco445776468le_Neg @t2)) 121.43/121.73 (define @t9 () (@list @t2)) 121.43/121.73 (define @t10 () (@var "S2" tptp.list_char)) 121.43/121.73 (define @t11 () (_ tptp.paraco1480028776le_Pro @t10)) 121.43/121.73 (define @t12 () (@list @t10)) 121.43/121.73 (define @t13 () (@var "S3" tptp.set_Pr560526279lle_tv)) 121.43/121.73 (define @t14 () (@var "R" tptp.set_Pr560526279lle_tv)) 121.43/121.73 (define @t15 () (@var "Y5" tptp.paraco1605129243lle_tv)) 121.43/121.73 (define @t16 () (@var "X5" (-> tptp.nat tptp.nat))) 121.43/121.73 (define @t17 () (_ (_ tptp.produc1680557635lle_tv @t16) @t15)) 121.43/121.73 (define @t18 () (_ tptp.member1569366824lle_tv @t17)) 121.43/121.73 (define @t19 () (@list @t16 @t15)) 121.43/121.73 (define @t20 () (@var "A2" tptp.set_Pr2120184979lle_fm)) 121.43/121.73 (define @t21 () (@var "Y" tptp.paraco1604210848lle_fm)) 121.43/121.73 (define @t22 () (@var "X" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.73 (define @t23 () (_ tptp.produc1710735575lle_fm @t22)) 121.43/121.73 (define @t24 () (_ @t23 @t21)) 121.43/121.73 (define @t25 () (_ (_ tptp.produc1943344577lle_tv @t21) @t22)) 121.43/121.73 (define @t26 () (@var "R2" tptp.set_Pr2120184979lle_fm)) 121.43/121.73 (define @t27 () (@var "Y5" tptp.paraco1604210848lle_fm)) 121.43/121.73 (define @t28 () (@var "X5" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.73 (define @t29 () (_ (_ tptp.produc1710735575lle_fm @t28) @t27)) 121.43/121.73 (define @t30 () (_ tptp.member1474794996lle_fm @t29)) 121.43/121.73 (define @t31 () (not (_ @t30 @t26))) 121.43/121.73 (define @t32 () (@var "G" (-> tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm))) 121.43/121.73 (define @t33 () (@var "F" (-> (-> tptp.list_char tptp.paraco1605129243lle_tv) tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.73 (define @t34 () (@var "C" tptp.produc696645085lle_fm)) 121.43/121.73 (define @t35 () (@list @t28 @t27)) 121.43/121.73 (define @t36 () (_ (_ tptp.produc1900967599lle_fm @t33) @t32)) 121.43/121.73 (define @t37 () (_ (_ tptp.image_807538418lle_fm @t36) @t26)) 121.43/121.73 (define @t38 () (_ tptp.member1474794996lle_fm @t34)) 121.43/121.73 (define @t39 () (@var "B" tptp.paraco1605129243lle_tv)) 121.43/121.73 (define @t40 () (@var "A" (-> tptp.nat tptp.nat))) 121.43/121.73 (define @t41 () (@var "F" (-> tptp.produc931990033lle_tv Bool))) 121.43/121.73 (define @t42 () (_ (_ (_ tptp.produc752649287e_tv_o @t41) @t40) @t39)) 121.43/121.73 (define @t43 () (_ tptp.produc1680557635lle_tv @t40)) 121.43/121.73 (define @t44 () (_ @t43 @t39)) 121.43/121.73 (define @t45 () (_ @t41 @t44)) 121.43/121.73 (define @t46 () (@list @t41 @t40 @t39)) 121.43/121.73 (define @t47 () (@var "A2" tptp.set_Pr560526279lle_tv)) 121.43/121.73 (define @t48 () (@var "X5" tptp.produc931990033lle_tv)) 121.43/121.73 (define @t49 () (_ tptp.member1569366824lle_tv @t48)) 121.43/121.73 (define @t50 () (@list @t48)) 121.43/121.73 (define @t51 () (@list @t47)) 121.43/121.73 (define @t52 () (@var "X42" tptp.paraco1604210848lle_fm)) 121.43/121.73 (define @t53 () (@var "X41" tptp.paraco1604210848lle_fm)) 121.43/121.73 (define @t54 () (_ (_ tptp.paraco69239110le_Con @t53) @t52)) 121.43/121.73 (define @t55 () (@var "X3" tptp.paraco1604210848lle_fm)) 121.43/121.73 (define @t56 () (_ tptp.paraco445776468le_Neg @t55)) 121.43/121.73 (define @t57 () (@var "S3" tptp.set_Pr1986765409at_nat)) 121.43/121.73 (define @t58 () (@var "R" tptp.set_Pr1986765409at_nat)) 121.43/121.73 (define @t59 () (_ tptp.total_on_nat tptp.top_top_set_nat)) 121.43/121.74 (define @t60 () (_ @t59 @t57)) 121.43/121.74 (define @t61 () (_ @t59 @t58)) 121.43/121.74 (define @t62 () (@var "A2" tptp.set_Pr2061825550lle_tv)) 121.43/121.74 (define @t63 () (@var "X4" tptp.produc1852595672lle_tv)) 121.43/121.74 (define @t64 () (@list @t62)) 121.43/121.74 (define @t65 () (@var "X" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t66 () (_ tptp.member266900804lle_tv @t65)) 121.43/121.74 (define @t67 () (@list @t65)) 121.43/121.74 (define @t68 () (@var "Y" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t69 () (@list @t65 @t68)) 121.43/121.74 (define @t70 () (@var "X2" tptp.nat)) 121.43/121.74 (define @t71 () (@var "F22" (-> tptp.nat tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t72 () (_ tptp.paraco793048302_Indet @t70)) 121.43/121.74 (define @t73 () (@var "F1" (-> Bool tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t74 () (_ (_ tptp.paraco2051596139lle_tv @t73) @t71)) 121.43/121.74 (define @t75 () (@var "G" (-> tptp.nat tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t76 () (@var "F" (-> tptp.nat tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t77 () (= (_ (_ tptp.image_1151963140lle_tv @t75) tptp.top_top_set_nat) tptp.top_to1057771083lle_tv)) 121.43/121.74 (define @t78 () (= (_ (_ tptp.image_1151963140lle_tv @t76) tptp.top_top_set_nat) tptp.top_to1057771083lle_tv)) 121.43/121.74 (define @t79 () (@var "X" tptp.nat)) 121.43/121.74 (define @t80 () (@var "Y" tptp.nat)) 121.43/121.74 (define @t81 () (@var "F" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t82 () (@var "A2" tptp.set_nat)) 121.43/121.74 (define @t83 () (_ (_ tptp.the_inv_into_nat_nat @t82) @t81)) 121.43/121.74 (define @t84 () (_ @t83 @t80)) 121.43/121.74 (define @t85 () (_ tptp.member_nat @t79)) 121.43/121.74 (define @t86 () (_ @t85 @t82)) 121.43/121.74 (define @t87 () (_ @t81 @t79)) 121.43/121.74 (define @t88 () (_ tptp.inj_on_nat_nat @t81)) 121.43/121.74 (define @t89 () (_ @t88 @t82)) 121.43/121.74 (define @t90 () (@list @t81 @t82 @t79 @t80)) 121.43/121.74 (define @t91 () (@var "X" tptp.produc696645085lle_fm)) 121.43/121.74 (define @t92 () (@list @t91)) 121.43/121.74 (define @t93 () (@var "X5" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t94 () (@var "F" (-> tptp.paraco1605129243lle_tv tptp.nat))) 121.43/121.74 (define @t95 () (_ @t94 @t93)) 121.43/121.74 (define @t96 () (= @t80 @t95)) 121.43/121.74 (define @t97 () (@list @t93)) 121.43/121.74 (define @t98 () (= (_ (_ tptp.image_376325286tv_nat @t94) tptp.top_to1057771083lle_tv) tptp.top_top_set_nat)) 121.43/121.74 (define @t99 () (@list @t94 @t80)) 121.43/121.74 (define @t100 () (_ tptp.member266900804lle_tv @t93)) 121.43/121.74 (define @t101 () (@var "G" (-> tptp.paraco1604210848lle_fm tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t102 () (@var "F" (-> (-> tptp.list_char tptp.paraco1605129243lle_tv) tptp.nat tptp.nat))) 121.43/121.74 (define @t103 () (_ (_ tptp.produc1566550641lle_tv @t102) @t101)) 121.43/121.74 (define @t104 () (_ (_ tptp.image_1154804148lle_tv @t103) @t26)) 121.43/121.74 (define @t105 () (@var "B" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t106 () (@var "A" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t107 () (_ (_ tptp.produc1680557635lle_tv (_ @t102 @t106)) (_ @t101 @t105))) 121.43/121.74 (define @t108 () (_ tptp.produc1710735575lle_fm @t106)) 121.43/121.74 (define @t109 () (_ @t108 @t105)) 121.43/121.74 (define @t110 () (_ (_ tptp.member1474794996lle_fm @t109) @t26)) 121.43/121.74 (define @t111 () (@var "A" tptp.nat)) 121.43/121.74 (define @t112 () (_ tptp.member_nat @t111)) 121.43/121.74 (define @t113 () (_ tptp.image_nat_nat @t81)) 121.43/121.74 (define @t114 () (_ @t113 @t82)) 121.43/121.74 (define @t115 () (= (_ (_ tptp.member_nat (_ @t81 @t111)) @t114) (_ @t112 @t82))) 121.43/121.74 (define @t116 () (_ @t88 tptp.top_top_set_nat)) 121.43/121.74 (define @t117 () (@var "I3" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t118 () (_ tptp.produc1710735575lle_fm @t117)) 121.43/121.74 (define @t119 () (@list @t117 @t2 @t1)) 121.43/121.74 (define @t120 () (@var "A2" tptp.set_Pr13445366lle_tv)) 121.43/121.74 (define @t121 () (@var "F" (-> tptp.produc270694976lle_tv tptp.produc270694976lle_tv))) 121.43/121.74 (define @t122 () (_ tptp.inj_on1745913142lle_tv @t121)) 121.43/121.74 (define @t123 () (_ @t122 @t120)) 121.43/121.74 (define @t124 () (@var "Y5" tptp.produc270694976lle_tv)) 121.43/121.74 (define @t125 () (@var "X5" tptp.produc270694976lle_tv)) 121.43/121.74 (define @t126 () (=> (= (_ @t121 @t125) (_ @t121 @t124)) (= @t125 @t124))) 121.43/121.74 (define @t127 () (_ tptp.member813679063lle_tv @t125)) 121.43/121.74 (define @t128 () (_ @t127 @t120)) 121.43/121.74 (define @t129 () (@list @t125 @t124)) 121.43/121.74 (define @t130 () (@var "A" tptp.produc696645085lle_fm)) 121.43/121.74 (define @t131 () (@var "P3" (-> tptp.produc696645085lle_fm Bool))) 121.43/121.74 (define @t132 () (@var "X4" tptp.nat)) 121.43/121.74 (define @t133 () (_ @t81 @t132)) 121.43/121.74 (define @t134 () (@var "B" tptp.nat)) 121.43/121.74 (define @t135 () (@var "Y4" tptp.nat)) 121.43/121.74 (define @t136 () (_ @t81 @t135)) 121.43/121.74 (define @t137 () (@list @t135)) 121.43/121.74 (define @t138 () (@list @t132)) 121.43/121.74 (define @t139 () (_ @t113 tptp.top_top_set_nat)) 121.43/121.74 (define @t140 () (@var "X52" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t141 () (@var "X51" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t142 () (_ (_ tptp.paraco1389086619le_Eql @t141) @t140)) 121.43/121.74 (define @t143 () (@var "A2" tptp.set_Pr840833727at_nat)) 121.43/121.74 (define @t144 () (@var "Y" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t145 () (_ (_ tptp.produc1633679363at_nat @t65) @t144)) 121.43/121.74 (define @t146 () (_ tptp.produc1680557635lle_tv @t144)) 121.43/121.74 (define @t147 () (_ @t146 @t65)) 121.43/121.74 (define @t148 () (@var "Y" tptp.produc1647334210lle_tv)) 121.43/121.74 (define @t149 () (@var "X" tptp.produc1647334210lle_tv)) 121.43/121.74 (define @t150 () (= @t149 @t148)) 121.43/121.74 (define @t151 () (@var "F" (-> tptp.produc1647334210lle_tv tptp.produc1647334210lle_tv))) 121.43/121.74 (define @t152 () (= (_ @t151 @t149) (_ @t151 @t148))) 121.43/121.74 (define @t153 () (_ tptp.inj_on2112487900lle_tv @t151)) 121.43/121.74 (define @t154 () (_ @t153 tptp.top_to1871154984lle_tv)) 121.43/121.74 (define @t155 () (@list @t151 @t149 @t148)) 121.43/121.74 (define @t156 () (_ tptp.paraco1325918602e_eval (_ (_ tptp.paraco761681009ge_int tptp.f) tptp.i))) 121.43/121.74 (define @t157 () (_ @t156 tptp.p2)) 121.43/121.74 (define @t158 () (_ @t156 tptp.p1)) 121.43/121.74 (define @t159 () (@var "Y" tptp.produc194167194tv_nat)) 121.43/121.74 (define @t160 () (@var "X" tptp.produc194167194tv_nat)) 121.43/121.74 (define @t161 () (= @t160 @t159)) 121.43/121.74 (define @t162 () (@var "A2" tptp.set_Pr1725653840tv_nat)) 121.43/121.74 (define @t163 () (_ (_ tptp.member737151281tv_nat @t159) @t162)) 121.43/121.74 (define @t164 () (_ tptp.member737151281tv_nat @t160)) 121.43/121.74 (define @t165 () (_ @t164 @t162)) 121.43/121.74 (define @t166 () (@var "F" (-> tptp.produc194167194tv_nat tptp.produc194167194tv_nat))) 121.43/121.74 (define @t167 () (= (_ @t166 @t160) (_ @t166 @t159))) 121.43/121.74 (define @t168 () (_ tptp.inj_on552895452tv_nat @t166)) 121.43/121.74 (define @t169 () (_ @t168 @t162)) 121.43/121.74 (define @t170 () (@list @t166 @t162 @t160 @t159)) 121.43/121.74 (define @t171 () (@var "S3" tptp.set_Pr2014382200lle_tv)) 121.43/121.74 (define @t172 () (_ tptp.total_1781621663lle_tv tptp.top_to1057771083lle_tv)) 121.43/121.74 (define @t173 () (_ @t172 @t171)) 121.43/121.74 (define @t174 () (@var "G" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t175 () (= (_ (_ tptp.image_nat_nat @t174) tptp.top_top_set_nat) tptp.top_top_set_nat)) 121.43/121.74 (define @t176 () (@var "X5" tptp.nat)) 121.43/121.74 (define @t177 () (_ @t81 @t176)) 121.43/121.74 (define @t178 () (_ @t174 @t177)) 121.43/121.74 (define @t179 () (= @t178 @t176)) 121.43/121.74 (define @t180 () (@list @t176)) 121.43/121.74 (define @t181 () (forall @t180 @t179)) 121.43/121.74 (define @t182 () (@var "F" (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t183 () (_ @t182 @t93)) 121.43/121.74 (define @t184 () (= @t68 @t183)) 121.43/121.74 (define @t185 () (_ tptp.image_335818702lle_tv @t182)) 121.43/121.74 (define @t186 () (_ @t185 tptp.top_to1057771083lle_tv)) 121.43/121.74 (define @t187 () (= @t186 tptp.top_to1057771083lle_tv)) 121.43/121.74 (define @t188 () (@list @t182 @t68)) 121.43/121.74 (define @t189 () (@var "Y41" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t190 () (@var "Y42" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t191 () (@var "X5" tptp.produc194167194tv_nat)) 121.43/121.74 (define @t192 () (_ tptp.member737151281tv_nat @t191)) 121.43/121.74 (define @t193 () (@list @t191)) 121.43/121.74 (define @t194 () (@var "Y" tptp.product_prod_nat_nat)) 121.43/121.74 (define @t195 () (@var "X" tptp.product_prod_nat_nat)) 121.43/121.74 (define @t196 () (= @t195 @t194)) 121.43/121.74 (define @t197 () (@var "A2" tptp.set_Pr1986765409at_nat)) 121.43/121.74 (define @t198 () (_ (_ tptp.member701585322at_nat @t194) @t197)) 121.43/121.74 (define @t199 () (_ tptp.member701585322at_nat @t195)) 121.43/121.74 (define @t200 () (_ @t199 @t197)) 121.43/121.74 (define @t201 () (@var "F" (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) 121.43/121.74 (define @t202 () (= (_ @t201 @t195) (_ @t201 @t194))) 121.43/121.74 (define @t203 () (_ tptp.inj_on26176689at_nat @t201)) 121.43/121.74 (define @t204 () (_ @t203 @t197)) 121.43/121.74 (define @t205 () (@list @t201 @t197 @t195 @t194)) 121.43/121.74 (define @t206 () (_ @t182 @t68)) 121.43/121.74 (define @t207 () (_ @t182 @t65)) 121.43/121.74 (define @t208 () (= @t207 @t206)) 121.43/121.74 (define @t209 () (@var "A2" tptp.set_Pa1764573435lle_tv)) 121.43/121.74 (define @t210 () (_ tptp.member266900804lle_tv @t68)) 121.43/121.74 (define @t211 () (_ @t210 @t209)) 121.43/121.74 (define @t212 () (_ @t66 @t209)) 121.43/121.74 (define @t213 () (= @t65 @t68)) 121.43/121.74 (define @t214 () (_ tptp.inj_on772319074lle_tv @t182)) 121.43/121.74 (define @t215 () (_ @t214 @t209)) 121.43/121.74 (define @t216 () (@list @t182 @t209 @t65 @t68)) 121.43/121.74 (define @t217 () (= (_ @t76 @t79) (_ @t76 @t80))) 121.43/121.74 (define @t218 () (_ tptp.member_nat @t80)) 121.43/121.74 (define @t219 () (_ @t218 @t82)) 121.43/121.74 (define @t220 () (= @t79 @t80)) 121.43/121.74 (define @t221 () (not @t220)) 121.43/121.74 (define @t222 () (_ tptp.inj_on1955349912lle_tv @t76)) 121.43/121.74 (define @t223 () (_ @t222 @t82)) 121.43/121.74 (define @t224 () (@list @t76 @t82 @t79 @t80)) 121.43/121.74 (define @t225 () (@var "F22" (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t226 () (@var "F1" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t227 () (_ (_ tptp.inj_on772319074lle_tv @t225) tptp.top_to1057771083lle_tv)) 121.43/121.74 (define @t228 () (_ (_ tptp.inj_on_nat_nat @t226) tptp.top_top_set_nat)) 121.43/121.74 (define @t229 () (@var "X" tptp.produc931990033lle_tv)) 121.43/121.74 (define @t230 () (@var "Z" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t231 () (= @t229 (_ @t146 @t230))) 121.43/121.74 (define @t232 () (@list @t229 @t144 @t230)) 121.43/121.74 (define @t233 () (@var "X1" tptp.list_char)) 121.43/121.74 (define @t234 () (_ tptp.paraco1480028776le_Pro @t233)) 121.43/121.74 (define @t235 () (@var "P2" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t236 () (@var "I2" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t237 () (_ tptp.paraco1325918602e_eval @t236)) 121.43/121.74 (define @t238 () (@var "A2" tptp.set_Pr2014382200lle_tv)) 121.43/121.74 (define @t239 () (_ @t153 @t238)) 121.43/121.74 (define @t240 () (@var "Y5" tptp.produc1647334210lle_tv)) 121.43/121.74 (define @t241 () (@var "X5" tptp.produc1647334210lle_tv)) 121.43/121.74 (define @t242 () (=> (= (_ @t151 @t241) (_ @t151 @t240)) (= @t241 @t240))) 121.43/121.74 (define @t243 () (@list @t241 @t240)) 121.43/121.74 (define @t244 () (@var "Y4" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t245 () (@var "X4" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t246 () (= @t245 @t244)) 121.43/121.74 (define @t247 () (_ @t182 @t244)) 121.43/121.74 (define @t248 () (_ @t182 @t245)) 121.43/121.74 (define @t249 () (_ @t214 tptp.top_to1057771083lle_tv)) 121.43/121.74 (define @t250 () (@list @t182)) 121.43/121.74 (define @t251 () (@var "S3" tptp.list_char)) 121.43/121.74 (define @t252 () (@var "I" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t253 () (_ tptp.paraco1325918602e_eval @t252)) 121.43/121.74 (define @t254 () (= @t217 @t220)) 121.43/121.74 (define @t255 () (_ @t222 tptp.top_top_set_nat)) 121.43/121.74 (define @t256 () (@list @t76 @t79 @t80)) 121.43/121.74 (define @t257 () (@var "F22" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t258 () (@var "F1" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t259 () (_ (_ tptp.produc234482697lle_tv @t258) @t257)) 121.43/121.74 (define @t260 () (@list @t258 @t257)) 121.43/121.74 (define @t261 () (@var "X4" tptp.produc696645085lle_fm)) 121.43/121.74 (define @t262 () (@list @t20)) 121.43/121.74 (define @t263 () (@list @t245)) 121.43/121.74 (define @t264 () (@var "B4" tptp.set_Pa1764573435lle_tv)) 121.43/121.74 (define @t265 () (_ tptp.ord_le241064091lle_tv @t209)) 121.43/121.74 (define @t266 () (_ @t265 @t264)) 121.43/121.74 (define @t267 () (_ @t214 @t264)) 121.43/121.74 (define @t268 () (@var "Y5" tptp.nat)) 121.43/121.74 (define @t269 () (= @t176 @t268)) 121.43/121.74 (define @t270 () (_ @t76 @t176)) 121.43/121.74 (define @t271 () (=> (= @t270 (_ @t76 @t268)) @t269)) 121.43/121.74 (define @t272 () (_ (_ tptp.member_nat @t268) @t82)) 121.43/121.74 (define @t273 () (_ tptp.member_nat @t176)) 121.43/121.74 (define @t274 () (_ @t273 @t82)) 121.43/121.74 (define @t275 () (@list @t176 @t268)) 121.43/121.74 (define @t276 () (@var "G" (-> tptp.paraco1605129243lle_tv tptp.nat))) 121.43/121.74 (define @t277 () (= (_ (_ tptp.image_376325286tv_nat @t276) tptp.top_to1057771083lle_tv) tptp.top_top_set_nat)) 121.43/121.74 (define @t278 () (@var "Y2" tptp.nat)) 121.43/121.74 (define @t279 () (@var "R2" (-> (-> tptp.nat tptp.nat) tptp.set_Pr2014382200lle_tv))) 121.43/121.74 (define @t280 () (@var "P3" (-> (-> tptp.nat tptp.nat) Bool))) 121.43/121.74 (define @t281 () (@var "X" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t282 () (_ tptp.produc1680557635lle_tv @t281)) 121.43/121.74 (define @t283 () (_ @t282 @t68)) 121.43/121.74 (define @t284 () (@var "Y6" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t285 () (_ tptp.paraco1344940915le_Det true)) 121.43/121.74 (define @t286 () (_ tptp.paraco1325918602e_eval tptp.i)) 121.43/121.74 (define @t287 () (_ @t286 tptp.p1)) 121.43/121.74 (define @t288 () (not (= @t287 @t285))) 121.43/121.74 (define @t289 () (= @t152 @t150)) 121.43/121.74 (define @t290 () (@var "Y4" tptp.produc194167194tv_nat)) 121.43/121.74 (define @t291 () (@var "X4" tptp.produc194167194tv_nat)) 121.43/121.74 (define @t292 () (= @t291 @t290)) 121.43/121.74 (define @t293 () (_ @t168 tptp.top_to975729152tv_nat)) 121.43/121.74 (define @t294 () (@list @t166)) 121.43/121.74 (define @t295 () (@var "X4" tptp.produc931990033lle_tv)) 121.43/121.74 (define @t296 () (@var "Y62" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t297 () (@var "X62" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t298 () (@var "Y61" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t299 () (@var "X61" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t300 () (_ (_ tptp.paraco1745535428le_Eql @t299) @t297)) 121.43/121.74 (define @t301 () (@var "Y" tptp.produc270694976lle_tv)) 121.43/121.74 (define @t302 () (@var "X" tptp.produc270694976lle_tv)) 121.43/121.74 (define @t303 () (= @t302 @t301)) 121.43/121.74 (define @t304 () (= (_ @t121 @t302) (_ @t121 @t301))) 121.43/121.74 (define @t305 () (= @t304 @t303)) 121.43/121.74 (define @t306 () (_ @t122 tptp.top_to1411004326lle_tv)) 121.43/121.74 (define @t307 () (@list @t121 @t302 @t301)) 121.43/121.74 (define @t308 () (@list @t244)) 121.43/121.74 (define @t309 () (_ (_ tptp.member813679063lle_tv @t301) @t120)) 121.43/121.74 (define @t310 () (_ tptp.member813679063lle_tv @t302)) 121.43/121.74 (define @t311 () (_ @t310 @t120)) 121.43/121.74 (define @t312 () (@list @t121 @t120 @t302 @t301)) 121.43/121.74 (define @t313 () (@var "X5" tptp.produc1852595672lle_tv)) 121.43/121.74 (define @t314 () (_ tptp.member146333935lle_tv @t313)) 121.43/121.74 (define @t315 () (@list @t313)) 121.43/121.74 (define @t316 () (=> @t86 (=> @t219 @t220))) 121.43/121.74 (define @t317 () (= @t87 (_ @t81 @t80))) 121.43/121.74 (define @t318 () (_ @t185 @t209)) 121.43/121.74 (define @t319 () (_ (_ tptp.the_in452116896lle_tv @t209) @t182)) 121.43/121.74 (define @t320 () (@list @t182 @t209)) 121.43/121.74 (define @t321 () (@var "R2" tptp.set_Pr560526279lle_tv)) 121.43/121.74 (define @t322 () (@var "G" (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t323 () (@var "F" (-> (-> tptp.nat tptp.nat) tptp.nat tptp.nat))) 121.43/121.74 (define @t324 () (_ (_ tptp.produc532909085lle_tv @t323) @t322)) 121.43/121.74 (define @t325 () (_ (_ tptp.image_1751508608lle_tv @t324) @t321)) 121.43/121.74 (define @t326 () (_ (_ tptp.produc1680557635lle_tv (_ @t323 @t40)) (_ @t322 @t39))) 121.43/121.74 (define @t327 () (_ (_ tptp.member1569366824lle_tv @t44) @t321)) 121.43/121.74 (define @t328 () (@var "G" (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) 121.43/121.74 (define @t329 () (@var "A4" tptp.product_prod_nat_nat)) 121.43/121.74 (define @t330 () (@var "X5" tptp.produc696645085lle_fm)) 121.43/121.74 (define @t331 () (_ tptp.member1474794996lle_fm @t330)) 121.43/121.74 (define @t332 () (@list @t330)) 121.43/121.74 (define @t333 () (_ @t192 @t162)) 121.43/121.74 (define @t334 () (@var "Y3" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t335 () (@var "Q" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t336 () (@var "P" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t337 () (_ @t253 (_ (_ tptp.paraco1745535428le_Eql @t336) @t335))) 121.43/121.74 (define @t338 () (_ tptp.paraco1344940915le_Det false)) 121.43/121.74 (define @t339 () (_ @t253 @t336)) 121.43/121.74 (define @t340 () (= @t339 @t338)) 121.43/121.74 (define @t341 () (_ @t253 (_ tptp.paraco445776468le_Neg @t336))) 121.43/121.74 (define @t342 () (_ @t253 @t335)) 121.43/121.74 (define @t343 () (= @t342 @t338)) 121.43/121.74 (define @t344 () (not @t340)) 121.43/121.74 (define @t345 () (= @t342 @t285)) 121.43/121.74 (define @t346 () (not @t345)) 121.43/121.74 (define @t347 () (= @t339 @t285)) 121.43/121.74 (define @t348 () (not @t347)) 121.43/121.74 (define @t349 () (= @t339 @t342)) 121.43/121.74 (define @t350 () (not @t349)) 121.43/121.74 (define @t351 () (@list @t252 @t336 @t335)) 121.43/121.74 (define @t352 () (@var "G" (-> tptp.produc1647334210lle_tv tptp.produc1647334210lle_tv))) 121.43/121.74 (define @t353 () (@var "A4" tptp.produc1647334210lle_tv)) 121.43/121.74 (define @t354 () (@var "F" (-> tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm))) 121.43/121.74 (define @t355 () (@list @t121)) 121.43/121.74 (define @t356 () (@var "Fm" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t357 () (@var "P3" (-> tptp.paraco1604210848lle_fm Bool))) 121.43/121.74 (define @t358 () (@var "X22" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t359 () (@var "X1a" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t360 () (_ @t357 @t358)) 121.43/121.74 (define @t361 () (_ @t357 @t359)) 121.43/121.74 (define @t362 () (@list @t359 @t358)) 121.43/121.74 (define @t363 () (@var "X5" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t364 () (_ @t357 tptp.paraco367965286_Truth)) 121.43/121.74 (define @t365 () (@var "X5" tptp.list_char)) 121.43/121.74 (define @t366 () (@var "Prod" tptp.produc931990033lle_tv)) 121.43/121.74 (define @t367 () (_ (_ tptp.produc1680557635lle_tv (_ tptp.produc1636169559lle_tv @t366)) (_ tptp.produc547496597lle_tv @t366))) 121.43/121.74 (define @t368 () (@list @t366)) 121.43/121.74 (define @t369 () (@var "A" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t370 () (_ tptp.produc148705065lle_fm @t24)) 121.43/121.74 (define @t371 () (@var "T" tptp.produc931990033lle_tv)) 121.43/121.74 (define @t372 () (_ tptp.paraco1147068288nge_tv tptp.f)) 121.43/121.74 (define @t373 () (@var "P" tptp.produc696645085lle_fm)) 121.43/121.74 (define @t374 () (@var "A" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t375 () (_ tptp.member266900804lle_tv @t374)) 121.43/121.74 (define @t376 () (= (_ (_ tptp.member266900804lle_tv (_ @t182 @t374)) @t318) (_ @t375 @t209))) 121.43/121.74 (define @t377 () (@var "B4" tptp.set_nat)) 121.43/121.74 (define @t378 () (= (= @t114 (_ @t113 @t377)) (= @t82 @t377))) 121.43/121.74 (define @t379 () (@var "C2" tptp.set_nat)) 121.43/121.74 (define @t380 () (_ tptp.ord_less_eq_set_nat @t377)) 121.43/121.74 (define @t381 () (_ tptp.ord_less_eq_set_nat @t82)) 121.43/121.74 (define @t382 () (@var "Tv" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t383 () (@var "P3" (-> tptp.paraco1605129243lle_tv Bool))) 121.43/121.74 (define @t384 () (@var "X5" Bool)) 121.43/121.74 (define @t385 () (_ tptp.produc505105722at_nat @t81)) 121.43/121.74 (define @t386 () (@list @t82 @t174 @t81)) 121.43/121.74 (define @t387 () (@var "Y" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t388 () (_ tptp.produc1710735575lle_fm @t387)) 121.43/121.74 (define @t389 () (_ @t388 @t4)) 121.43/121.74 (define @t390 () (_ (_ tptp.produc1943344577lle_tv @t4) @t387)) 121.43/121.74 (define @t391 () (@var "A1" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t392 () (@var "A0" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t393 () (@var "P3" (-> (-> tptp.nat tptp.nat) tptp.paraco1605129243lle_tv Bool))) 121.43/121.74 (define @t394 () (@var "N" tptp.nat)) 121.43/121.74 (define @t395 () (_ tptp.paraco793048302_Indet @t394)) 121.43/121.74 (define @t396 () (@var "F3" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t397 () (_ @t393 @t396)) 121.43/121.74 (define @t398 () (@list @t396 @t394)) 121.43/121.74 (define @t399 () (@var "B2" Bool)) 121.43/121.74 (define @t400 () (_ tptp.paraco1344940915le_Det @t399)) 121.43/121.74 (define @t401 () (@list @t396 @t399)) 121.43/121.74 (define @t402 () (= @t80 @t177)) 121.43/121.74 (define @t403 () (= @t139 tptp.top_top_set_nat)) 121.43/121.74 (define @t404 () (@list @t81 @t80)) 121.43/121.74 (define @t405 () (@list @t81 @t82 @t377)) 121.43/121.74 (define @t406 () (_ tptp.produc1680557635lle_tv @t396)) 121.43/121.74 (define @t407 () (@list @t229)) 121.43/121.74 (define @t408 () (@var "B2" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t409 () (@var "A4" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t410 () (_ (_ tptp.produc1680557635lle_tv @t409) @t408)) 121.43/121.74 (define @t411 () (@var "Y" tptp.produc931990033lle_tv)) 121.43/121.74 (define @t412 () (@list @t409 @t408)) 121.43/121.74 (define @t413 () (@var "A5" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t414 () (= @t40 @t413)) 121.43/121.74 (define @t415 () (@var "B3" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t416 () (= @t39 @t415)) 121.43/121.74 (define @t417 () (_ (_ tptp.produc1680557635lle_tv @t413) @t415)) 121.43/121.74 (define @t418 () (= @t44 @t417)) 121.43/121.74 (define @t419 () (@list @t40 @t39 @t413 @t415)) 121.43/121.74 (define @t420 () (@var "Y5" tptp.product_prod_nat_nat)) 121.43/121.74 (define @t421 () (@var "X5" tptp.product_prod_nat_nat)) 121.43/121.74 (define @t422 () (=> (= (_ @t201 @t421) (_ @t201 @t420)) (= @t421 @t420))) 121.43/121.74 (define @t423 () (_ tptp.member701585322at_nat @t421)) 121.43/121.74 (define @t424 () (_ @t423 @t197)) 121.43/121.74 (define @t425 () (@list @t421 @t420)) 121.43/121.74 (define @t426 () (_ @t253 (_ (_ tptp.paraco1389086619le_Eql @t336) @t335))) 121.43/121.74 (define @t427 () (@var "A" tptp.produc931990033lle_tv)) 121.43/121.74 (define @t428 () (@var "P3" (-> tptp.produc931990033lle_tv Bool))) 121.43/121.74 (define @t429 () (_ (_ tptp.produc1710735575lle_fm (_ @t33 @t106)) (_ @t32 @t105))) 121.43/121.74 (define @t430 () (@var "A6" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t431 () (@var "P" tptp.produc931990033lle_tv)) 121.43/121.74 (define @t432 () (@list @t81 @t79 @t80)) 121.43/121.74 (define @t433 () (_ @t319 @t68)) 121.43/121.74 (define @t434 () (_ tptp.accp_P2085826120lle_tv tptp.paraco1632582009tv_rel)) 121.43/121.74 (define @t435 () (= @t68 (_ tptp.paraco793048302_Indet (_ @t281 @t394)))) 121.43/121.74 (define @t436 () (@var "Xa" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t437 () (= @t436 @t395)) 121.43/121.74 (define @t438 () (@list @t394)) 121.43/121.74 (define @t439 () (= @t68 @t400)) 121.43/121.74 (define @t440 () (= @t436 @t400)) 121.43/121.74 (define @t441 () (@list @t399)) 121.43/121.74 (define @t442 () (= (_ (_ tptp.paraco1147068288nge_tv @t281) @t436) @t68)) 121.43/121.74 (define @t443 () (@list @t281 @t436 @t68)) 121.43/121.74 (define @t444 () (@var "B5" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t445 () (@var "B5" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t446 () (@var "G" (-> tptp.paraco1605129243lle_tv tptp.paraco1604210848lle_fm))) 121.43/121.74 (define @t447 () (@var "F" (-> (-> tptp.nat tptp.nat) tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t448 () (_ (_ tptp.produc1710735575lle_fm (_ @t447 @t40)) (_ @t446 @t39))) 121.43/121.74 (define @t449 () (_ (_ tptp.produc951033137lle_fm @t447) @t446)) 121.43/121.74 (define @t450 () (= @t68 @t270)) 121.43/121.74 (define @t451 () (@list @t76 @t68)) 121.43/121.74 (define @t452 () (@var "X2" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t453 () (@var "X1" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t454 () (_ (_ tptp.produc1680557635lle_tv @t453) @t452)) 121.43/121.74 (define @t455 () (@list @t453 @t452)) 121.43/121.74 (define @t456 () (@var "Prod" tptp.produc696645085lle_fm)) 121.43/121.74 (define @t457 () (_ (_ tptp.produc1710735575lle_fm (_ tptp.produc29804011lle_fm @t456)) (_ tptp.produc148705065lle_fm @t456))) 121.43/121.74 (define @t458 () (@list @t456)) 121.43/121.74 (define @t459 () (@var "G" (-> tptp.produc270694976lle_tv tptp.produc270694976lle_tv))) 121.43/121.74 (define @t460 () (@var "A4" tptp.produc270694976lle_tv)) 121.43/121.74 (define @t461 () (@var "X1" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t462 () (@var "X2" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t463 () (_ (_ tptp.produc1710735575lle_fm @t461) @t462)) 121.43/121.74 (define @t464 () (@list @t461 @t462)) 121.43/121.74 (define @t465 () (@var "S4" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t466 () (@var "R" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t467 () (_ tptp.produc1710735575lle_fm @t466)) 121.43/121.74 (define @t468 () (@var "S3" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t469 () (@var "X" tptp.produc1852595672lle_tv)) 121.43/121.74 (define @t470 () (@var "Q2" (-> tptp.nat Bool))) 121.43/121.74 (define @t471 () (@var "P3" (-> tptp.nat Bool))) 121.43/121.74 (define @t472 () (_ tptp.collect_nat @t471)) 121.43/121.74 (define @t473 () (@var "R2" (-> (-> tptp.list_char tptp.paraco1605129243lle_tv) tptp.set_Pr1019238018lle_fm))) 121.43/121.74 (define @t474 () (@var "P3" (-> (-> tptp.list_char tptp.paraco1605129243lle_tv) Bool))) 121.43/121.74 (define @t475 () (@var "Y6" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t476 () (@var "S3" tptp.set_Pr2120184979lle_fm)) 121.43/121.74 (define @t477 () (@var "R" tptp.set_Pr2120184979lle_fm)) 121.43/121.74 (define @t478 () (_ tptp.ord_le241064091lle_tv @t264)) 121.43/121.74 (define @t479 () (@list @t182 @t209 @t264)) 121.43/121.74 (define @t480 () (_ tptp.inj_on_nat_nat @t174)) 121.43/121.74 (define @t481 () (_ @t480 @t82)) 121.43/121.74 (define @t482 () (@var "A4" tptp.nat)) 121.43/121.74 (define @t483 () (_ (_ tptp.member_nat @t482) @t82)) 121.43/121.74 (define @t484 () (@list @t482)) 121.43/121.74 (define @t485 () (@list @t81)) 121.43/121.74 (define @t486 () (_ tptp.produc29804011lle_fm @t24)) 121.43/121.74 (define @t487 () (@var "C" tptp.produc931990033lle_tv)) 121.43/121.74 (define @t488 () (_ tptp.member1569366824lle_tv @t487)) 121.43/121.74 (define @t489 () (=> (= @t177 (_ @t81 @t268)) @t269)) 121.43/121.74 (define @t490 () (_ (_ tptp.paraco69239110le_Con @t336) @t335)) 121.43/121.74 (define @t491 () (_ @t253 @t490)) 121.43/121.74 (define @t492 () (= @t491 @t339)) 121.43/121.74 (define @t493 () (=> @t345 @t492)) 121.43/121.74 (define @t494 () (=> @t346 (= @t491 @t338))) 121.43/121.74 (define @t495 () (and @t494 @t493)) 121.43/121.74 (define @t496 () (=> @t348 @t495)) 121.43/121.74 (define @t497 () (=> @t347 (= @t491 @t342))) 121.43/121.74 (define @t498 () (and @t497 @t496)) 121.43/121.74 (define @t499 () (=> @t350 @t498)) 121.43/121.74 (define @t500 () (=> @t349 @t492)) 121.43/121.74 (define @t501 () (and @t500 @t499)) 121.43/121.74 (define @t502 () (forall @t351 @t501)) 121.43/121.74 (define @t503 () (@var "G" (-> tptp.produc194167194tv_nat tptp.produc194167194tv_nat))) 121.43/121.74 (define @t504 () (@var "A4" tptp.produc194167194tv_nat)) 121.43/121.74 (define @t505 () (@var "A" tptp.produc1852595672lle_tv)) 121.43/121.74 (define @t506 () (@var "P3" (-> tptp.produc1852595672lle_tv Bool))) 121.43/121.74 (define @t507 () (@var "Xa2" tptp.nat)) 121.43/121.74 (define @t508 () (@var "Y2" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t509 () (@var "Y1" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t510 () (_ @t322 @t183)) 121.43/121.74 (define @t511 () (= @t510 @t93)) 121.43/121.74 (define @t512 () (_ @t100 @t209)) 121.43/121.74 (define @t513 () (@list @t209 @t322 @t182)) 121.43/121.74 (define @t514 () (_ tptp.collec1111687558lle_tv @t383)) 121.43/121.74 (define @t515 () (not (_ @t18 @t321))) 121.43/121.74 (define @t516 () (_ (_ tptp.image_1585092542lle_fm @t449) @t321)) 121.43/121.74 (define @t517 () (@var "A2" tptp.set_Pr1357842111at_nat)) 121.43/121.74 (define @t518 () (@var "X5" tptp.produc1281043295at_nat)) 121.43/121.74 (define @t519 () (_ tptp.member112824072at_nat @t518)) 121.43/121.74 (define @t520 () (@list @t518)) 121.43/121.74 (define @t521 () (@list @t517)) 121.43/121.74 (define @t522 () (_ tptp.inj_on772319074lle_tv @t322)) 121.43/121.74 (define @t523 () (_ @t522 @t209)) 121.43/121.74 (define @t524 () (@var "Xa2" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t525 () (@list @t81 @t174)) 121.43/121.74 (define @t526 () (= @t317 @t220)) 121.43/121.74 (define @t527 () (@var "X22" tptp.nat)) 121.43/121.74 (define @t528 () (@var "X12" Bool)) 121.43/121.74 (define @t529 () (@var "B2" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t530 () (@var "A4" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t531 () (_ (_ tptp.produc1710735575lle_fm @t530) @t529)) 121.43/121.74 (define @t532 () (@list @t530 @t529)) 121.43/121.74 (define @t533 () (forall @t532 (_ @t131 @t531))) 121.43/121.74 (define @t534 () (@list @t81 @t82)) 121.43/121.74 (define @t535 () (_ @t88 @t377)) 121.43/121.74 (define @t536 () (@var "X" tptp.produc1281043295at_nat)) 121.43/121.74 (define @t537 () (@var "Y5" tptp.produc194167194tv_nat)) 121.43/121.74 (define @t538 () (=> (= (_ @t166 @t191) (_ @t166 @t537)) (= @t191 @t537))) 121.43/121.74 (define @t539 () (@list @t191 @t537)) 121.43/121.74 (define @t540 () (_ @t286 (_ (_ tptp.paraco69239110le_Con tptp.p1) tptp.p2))) 121.43/121.74 (define @t541 () (not (= @t540 @t287))) 121.43/121.74 (define @t542 () (@var "Y2" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t543 () (@var "Y1" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t544 () (@var "U" tptp.set_nat)) 121.43/121.74 (define @t545 () (_ tptp.paraco55203475lid_in @t544)) 121.43/121.74 (define @t546 () (_ @t545 @t336)) 121.43/121.74 (define @t547 () (_ tptp.paraco327635598_valid @t336)) 121.43/121.74 (define @t548 () (_ tptp.produc1636169559lle_tv @t283)) 121.43/121.74 (define @t549 () (_ tptp.produc547496597lle_tv @t283)) 121.43/121.74 (define @t550 () (@var "P3" (-> tptp.paraco1605129243lle_tv (-> tptp.nat tptp.nat) Bool))) 121.43/121.74 (define @t551 () (_ (_ tptp.produc1633679363at_nat @t68) @t281)) 121.43/121.74 (define @t552 () (@var "P3" (-> (-> tptp.list_char tptp.paraco1605129243lle_tv) tptp.paraco1604210848lle_fm Bool))) 121.43/121.74 (define @t553 () (_ @t203 tptp.top_to1555900337at_nat)) 121.43/121.74 (define @t554 () (@list @t201)) 121.43/121.74 (define @t555 () (@list @t125)) 121.43/121.74 (define @t556 () (= (_ (_ tptp.image_335818702lle_tv @t322) tptp.top_to1057771083lle_tv) tptp.top_to1057771083lle_tv)) 121.43/121.74 (define @t557 () (_ tptp.paraco1147068288nge_tv @t81)) 121.43/121.74 (define @t558 () (@var "Y51" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t559 () (@var "Y52" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t560 () (forall @t412 (_ @t428 @t410))) 121.43/121.74 (define @t561 () (@var "A0" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t562 () (_ @t357 @t1)) 121.43/121.74 (define @t563 () (_ @t357 @t2)) 121.43/121.74 (define @t564 () (_ tptp.member266900804lle_tv @t245)) 121.43/121.74 (define @t565 () (@list @t209)) 121.43/121.74 (define @t566 () (_ tptp.member_nat @t132)) 121.43/121.74 (define @t567 () (@list @t82)) 121.43/121.74 (define @t568 () (@var "B" Bool)) 121.43/121.74 (define @t569 () (_ tptp.paraco1344940915le_Det @t568)) 121.43/121.74 (define @t570 () (@var "Q2" (-> tptp.paraco1605129243lle_tv Bool))) 121.43/121.74 (define @t571 () (@var "N2" tptp.nat)) 121.43/121.74 (define @t572 () (@var "X4" tptp.produc1281043295at_nat)) 121.43/121.74 (define @t573 () (= @t202 @t196)) 121.43/121.74 (define @t574 () (@var "F1" (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t575 () (_ (_ tptp.inj_on772319074lle_tv @t574) tptp.top_to1057771083lle_tv)) 121.43/121.74 (define @t576 () (_ @t381 @t377)) 121.43/121.74 (define @t577 () (@var "F" (-> tptp.produc696645085lle_fm Bool))) 121.43/121.74 (define @t578 () (_ (_ (_ tptp.produc275353523e_fm_o @t577) @t106) @t105)) 121.43/121.74 (define @t579 () (_ @t577 @t109)) 121.43/121.74 (define @t580 () (@list @t577 @t106 @t105)) 121.43/121.74 (define @t581 () (@list @t421)) 121.43/121.74 (define @t582 () (@var "A" tptp.produc1281043295at_nat)) 121.43/121.74 (define @t583 () (@var "P3" (-> tptp.produc1281043295at_nat Bool))) 121.43/121.74 (define @t584 () (@var "R" tptp.set_Pr2014382200lle_tv)) 121.43/121.74 (define @t585 () (_ @t172 @t584)) 121.43/121.74 (define @t586 () (= @t208 @t213)) 121.43/121.74 (define @t587 () (@var "T" tptp.produc696645085lle_fm)) 121.43/121.74 (define @t588 () (@var "B3" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t589 () (= @t105 @t588)) 121.43/121.74 (define @t590 () (@var "A5" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t591 () (= @t106 @t590)) 121.43/121.74 (define @t592 () (_ (_ tptp.produc1710735575lle_fm @t590) @t588)) 121.43/121.74 (define @t593 () (= @t109 @t592)) 121.43/121.74 (define @t594 () (@list @t106 @t105 @t590 @t588)) 121.43/121.74 (define @t595 () (@var "P3" (-> tptp.paraco1604210848lle_fm (-> tptp.list_char tptp.paraco1605129243lle_tv) Bool))) 121.43/121.74 (define @t596 () (@list @t182 @t65 @t68)) 121.43/121.74 (define @t597 () (@var "Y" tptp.produc696645085lle_fm)) 121.43/121.74 (define @t598 () (@var "Z" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t599 () (= @t91 (_ @t388 @t598))) 121.43/121.74 (define @t600 () (@list @t91 @t387 @t598)) 121.43/121.74 (define @t601 () (@var "X622" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t602 () (@var "X612" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t603 () (@var "X522" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t604 () (@var "X512" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t605 () (@var "X422" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t606 () (@var "X412" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t607 () (@var "X32" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t608 () (@var "X12" tptp.list_char)) 121.43/121.74 (define @t609 () (@var "P3" Bool)) 121.43/121.74 (define @t610 () (@var "Q" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t611 () (@var "P" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t612 () (_ (_ tptp.produc1680557635lle_tv @t611) @t610)) 121.43/121.74 (define @t613 () (@var "A0" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t614 () (@var "Bool" Bool)) 121.43/121.74 (define @t615 () (@var "H" (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t616 () (_ @t259 @t614)) 121.43/121.74 (define @t617 () (@var "F22" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t618 () (_ (_ tptp.inj_on_nat_nat @t617) tptp.top_top_set_nat)) 121.43/121.74 (define @t619 () (@list @t201 @t195 @t194)) 121.43/121.74 (define @t620 () (_ @t286 tptp.p2)) 121.43/121.74 (define @t621 () (not (= @t287 @t620))) 121.43/121.74 (define @t622 () (@list @t252 @t336)) 121.43/121.74 (define @t623 () (@var "A4" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t624 () (@var "S4" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t625 () (@var "R" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t626 () (_ tptp.produc1680557635lle_tv @t625)) 121.43/121.74 (define @t627 () (@var "S3" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t628 () (@list @t76)) 121.43/121.74 (define @t629 () (= @t132 @t135)) 121.43/121.74 (define @t630 () (_ @t76 @t132)) 121.43/121.74 (define @t631 () (@list @t132 @t135)) 121.43/121.74 (define @t632 () (@var "S3" tptp.set_Pr1019238018lle_fm)) 121.43/121.74 (define @t633 () (@var "R" tptp.set_Pr2061825550lle_tv)) 121.43/121.74 (define @t634 () (@var "R" tptp.set_Pr1357842111at_nat)) 121.43/121.74 (define @t635 () (_ (_ tptp.member1531318361lle_tv @t148) @t238)) 121.43/121.74 (define @t636 () (_ (_ tptp.member1531318361lle_tv @t149) @t238)) 121.43/121.74 (define @t637 () (@list @t151 @t238 @t149 @t148)) 121.43/121.74 (define @t638 () (= (= @t318 (_ @t185 @t264)) (= @t209 @t264))) 121.43/121.74 (define @t639 () (@var "C2" tptp.set_Pa1764573435lle_tv)) 121.43/121.74 (define @t640 () (@var "Y4" tptp.product_prod_nat_nat)) 121.43/121.74 (define @t641 () (@var "X4" tptp.product_prod_nat_nat)) 121.43/121.74 (define @t642 () (= @t641 @t640)) 121.43/121.74 (define @t643 () (@var "Y1" Bool)) 121.43/121.74 (define @t644 () (@var "X1" Bool)) 121.43/121.74 (define @t645 () (_ tptp.paraco1344940915le_Det @t644)) 121.43/121.74 (define @t646 () (_ @t383 @t258)) 121.43/121.74 (define @t647 () (_ @t383 @t257)) 121.43/121.74 (define @t648 () (not @t614)) 121.43/121.74 (define @t649 () (_ @t383 @t616)) 121.43/121.74 (define @t650 () (@list @t383 @t258 @t257 @t614)) 121.43/121.74 (define @t651 () (= @t167 @t161)) 121.43/121.74 (define @t652 () (@list @t151)) 121.43/121.74 (define @t653 () (@var "Y1" tptp.list_char)) 121.43/121.74 (define @t654 () (=> (= @t183 (_ @t182 @t15)) (= @t93 @t15))) 121.43/121.74 (define @t655 () (@list @t93 @t15)) 121.43/121.74 (define @t656 () (@var "Y4" tptp.produc270694976lle_tv)) 121.43/121.74 (define @t657 () (@var "X4" tptp.produc270694976lle_tv)) 121.43/121.74 (define @t658 () (= @t657 @t656)) 121.43/121.74 (define @t659 () (@var "Y4" tptp.produc1647334210lle_tv)) 121.43/121.74 (define @t660 () (@var "X4" tptp.produc1647334210lle_tv)) 121.43/121.74 (define @t661 () (= @t660 @t659)) 121.43/121.74 (define @t662 () (@var "P" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t663 () (_ (_ tptp.produc1710735575lle_fm @t662) @t335)) 121.43/121.74 (define @t664 () (@var "Q2" (-> tptp.paraco1604210848lle_fm Bool))) 121.43/121.74 (define @t665 () (@var "A6" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t666 () (@list @t166 @t160 @t159)) 121.43/121.74 (define @t667 () (@var "A2" tptp.set_Pr1723822845lle_tv)) 121.43/121.74 (define @t668 () (@var "P2" tptp.produc1443694919lle_tv)) 121.43/121.74 (define @t669 () (lambda (@list @t668) (_ (_ tptp.produc1710735575lle_fm (_ tptp.produc381314067lle_tv @t668)) (_ tptp.produc262413013lle_tv @t668)))) 121.43/121.74 (define @t670 () (lambda @t263 (_ @t564 tptp.top_to1057771083lle_tv))) 121.43/121.74 (define @t671 () (@var "S" tptp.list_char)) 121.43/121.74 (define @t672 () (@var "F2" (-> tptp.nat tptp.nat))) 121.43/121.74 (define @t673 () (lambda (@list @t672 @t236 @t671) (_ (_ tptp.paraco1147068288nge_tv @t672) (_ @t236 @t671)))) 121.43/121.74 (define @t674 () (@var "F2" (-> tptp.produc194167194tv_nat tptp.produc194167194tv_nat))) 121.43/121.74 (define @t675 () (@var "A3" tptp.set_Pr1725653840tv_nat)) 121.43/121.74 (define @t676 () (lambda (@list @t674 @t675) (forall (@list @t291) (=> (_ (_ tptp.member737151281tv_nat @t291) @t675) (forall (@list @t290) (=> (_ (_ tptp.member737151281tv_nat @t290) @t675) (=> (= (_ @t674 @t291) (_ @t674 @t290)) @t292))))))) 121.43/121.74 (define @t677 () (@var "F2" (-> tptp.produc1647334210lle_tv tptp.produc1647334210lle_tv))) 121.43/121.74 (define @t678 () (@var "A3" tptp.set_Pr2014382200lle_tv)) 121.43/121.74 (define @t679 () (lambda (@list @t677 @t678) (forall (@list @t660) (=> (_ (_ tptp.member1531318361lle_tv @t660) @t678) (forall (@list @t659) (=> (_ (_ tptp.member1531318361lle_tv @t659) @t678) (=> (= (_ @t677 @t660) (_ @t677 @t659)) @t661))))))) 121.43/121.74 (define @t680 () (lambda @t138 tptp.top_top_o)) 121.43/121.74 (define @t681 () (@var "F2" (-> tptp.paraco1605129243lle_tv tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t682 () (@var "A3" tptp.set_Pa1764573435lle_tv)) 121.43/121.74 (define @t683 () (lambda (@list @t681 @t682) (forall @t263 (=> (_ @t564 @t682) (forall @t308 (=> (_ (_ tptp.member266900804lle_tv @t244) @t682) (=> (= (_ @t681 @t245) (_ @t681 @t244)) @t246))))))) 121.43/121.74 (define @t684 () (@var "F2" (-> tptp.nat tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t685 () (@var "A3" tptp.set_nat)) 121.43/121.74 (define @t686 () (_ (_ tptp.member_nat @t135) @t685)) 121.43/121.74 (define @t687 () (_ @t566 @t685)) 121.43/121.74 (define @t688 () (lambda (@list @t684 @t685) (forall @t138 (=> @t687 (forall @t137 (=> @t686 (=> (= (_ @t684 @t132) (_ @t684 @t135)) @t629))))))) 121.43/121.74 (define @t689 () (lambda (@list @t672 @t685) (forall @t138 (=> @t687 (forall @t137 (=> @t686 (=> (= (_ @t672 @t132) (_ @t672 @t135)) @t629))))))) 121.43/121.74 (define @t690 () (@var "P2" tptp.produc596913417at_nat)) 121.43/121.74 (define @t691 () (lambda (@list @t690) (_ (_ tptp.produc1680557635lle_tv (_ tptp.produc500618325at_nat @t690)) (_ tptp.produc1589291287at_nat @t690)))) 121.43/121.74 (define @t692 () (@var "F2" (-> tptp.produc270694976lle_tv tptp.produc270694976lle_tv))) 121.43/121.74 (define @t693 () (@var "A3" tptp.set_Pr13445366lle_tv)) 121.43/121.74 (define @t694 () (lambda (@list @t692 @t693) (forall (@list @t657) (=> (_ (_ tptp.member813679063lle_tv @t657) @t693) (forall (@list @t656) (=> (_ (_ tptp.member813679063lle_tv @t656) @t693) (=> (= (_ @t692 @t657) (_ @t692 @t656)) @t658))))))) 121.43/121.74 (define @t695 () (@var "F23" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t696 () (@var "F12" tptp.paraco1605129243lle_tv)) 121.43/121.74 (define @t697 () (@var "Bool2" Bool)) 121.43/121.74 (define @t698 () (lambda (@list @t696 @t695 @t697) (_ (_ (_ tptp.if_Par1134130401lle_tv @t697) @t696) @t695))) 121.43/121.74 (define @t699 () (lambda (@list @t235) (forall (@list @t236) (= (_ @t237 @t235) @t285)))) 121.43/121.74 (define @t700 () (@var "F2" (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat))) 121.43/121.74 (define @t701 () (@var "A3" tptp.set_Pr1986765409at_nat)) 121.43/121.74 (define @t702 () (lambda (@list @t700 @t701) (forall (@list @t641) (=> (_ (_ tptp.member701585322at_nat @t641) @t701) (forall (@list @t640) (=> (_ (_ tptp.member701585322at_nat @t640) @t701) (=> (= (_ @t700 @t641) (_ @t700 @t640)) @t642))))))) 121.43/121.74 (define @t703 () (@var "BOUND_VARIABLE_14045" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t704 () (@var "BOUND_VARIABLE_21745" (@ho-elim-sort (-> tptp.list_char tptp.paraco1605129243lle_tv)))) 121.43/121.74 (define @t705 () (@const 0 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.list_char tptp.paraco1605129243lle_tv)) tptp.paraco1604210848lle_fm tptp.paraco1605129243lle_tv)))) 121.43/121.74 (define @t706 () (@const 1 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.list_char tptp.paraco1605129243lle_tv)) tptp.paraco1604210848lle_fm tptp.paraco1605129243lle_tv)) (@ho-elim-sort (-> tptp.list_char tptp.paraco1605129243lle_tv)) (@ho-elim-sort (-> tptp.paraco1604210848lle_fm tptp.paraco1605129243lle_tv))))) 121.43/121.74 (define @t707 () (_ @t706 @t705 @t704)) 121.43/121.74 (define @t708 () (@const 2 (-> (@ho-elim-sort (-> tptp.paraco1604210848lle_fm tptp.paraco1605129243lle_tv)) tptp.paraco1604210848lle_fm tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t709 () (_ @t708 @t707 @t703)) 121.43/121.74 (define @t710 () (@var "BOUND_VARIABLE_14047" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t711 () (@const 3 (@ho-elim-sort (-> tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm)))) 121.43/121.74 (define @t712 () (@const 4 (-> (@ho-elim-sort (-> tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm)) tptp.paraco1604210848lle_fm (@ho-elim-sort (-> tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm))))) 121.43/121.74 (define @t713 () (@const 5 (-> (@ho-elim-sort (-> tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm)) tptp.paraco1604210848lle_fm tptp.paraco1604210848lle_fm))) 121.43/121.74 (define @t714 () (_ @t708 @t707 (_ @t713 (_ @t712 @t711 @t703) @t710))) 121.43/121.74 (define @t715 () (_ @t708 @t707 @t710)) 121.43/121.74 (define @t716 () (@const 6 (@ho-elim-sort (-> Bool tptp.paraco1605129243lle_tv)))) 121.43/121.74 (define @t717 () (@const 7 (-> (@ho-elim-sort (-> Bool tptp.paraco1605129243lle_tv)) Bool tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t718 () (_ @t717 @t716 true)) 121.43/121.74 (define @t719 () (= @t718 @t715)) 121.43/121.74 (define @t720 () (not @t719)) 121.43/121.74 (define @t721 () (or @t720 (= @t709 @t714))) 121.43/121.74 (define @t722 () (_ @t717 @t716 false)) 121.43/121.74 (define @t723 () (or @t719 (= @t722 @t714))) 121.43/121.74 (define @t724 () (and @t723 @t721)) 121.43/121.74 (define @t725 () (= @t718 @t709)) 121.43/121.74 (define @t726 () (or @t725 @t724)) 121.43/121.74 (define @t727 () (not @t725)) 121.43/121.74 (define @t728 () (or @t727 (= @t715 @t714))) 121.43/121.74 (define @t729 () (and @t728 @t726)) 121.43/121.74 (define @t730 () (= @t709 @t715)) 121.43/121.74 (define @t731 () (or @t730 @t729)) 121.43/121.74 (define @t732 () (@list @t704 @t703 @t710)) 121.43/121.74 (define @t733 () (forall @t732 @t731)) 121.43/121.74 (define @t734 () (@var "BOUND_VARIABLE_14027" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t735 () (@var "BOUND_VARIABLE_21769" (@ho-elim-sort (-> tptp.list_char tptp.paraco1605129243lle_tv)))) 121.43/121.74 (define @t736 () (_ @t706 @t705 @t735)) 121.43/121.74 (define @t737 () (_ @t708 @t736 @t734)) 121.43/121.74 (define @t738 () (@var "BOUND_VARIABLE_14029" tptp.paraco1604210848lle_fm)) 121.43/121.74 (define @t739 () (_ @t708 @t736 (_ @t713 (_ @t712 @t711 @t734) @t738))) 121.43/121.74 (define @t740 () (not (= @t737 (_ @t708 @t736 @t738)))) 121.43/121.74 (define @t741 () (or @t740 (= @t737 @t739))) 121.43/121.74 (define @t742 () (forall (@list @t735 @t734 @t738) @t741)) 121.43/121.74 (define @t743 () (and @t742 @t733)) 121.43/121.74 (define @t744 () (tptp.paraco69239110le_Con @t703 @t710)) 121.43/121.74 (define @t745 () (@var "BOUND_VARIABLE_14043" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t746 () (tptp.paraco1325918602e_eval @t745 @t744)) 121.43/121.74 (define @t747 () (tptp.paraco1325918602e_eval @t745 @t703)) 121.43/121.74 (define @t748 () (tptp.paraco1325918602e_eval @t745 @t710)) 121.43/121.74 (define @t749 () (tptp.paraco1344940915le_Det true)) 121.43/121.74 (define @t750 () (= @t749 @t748)) 121.43/121.74 (define @t751 () (tptp.paraco1344940915le_Det false)) 121.43/121.74 (define @t752 () (= @t749 @t747)) 121.43/121.74 (define @t753 () (@list @t745 @t703 @t710)) 121.43/121.74 (define @t754 () (tptp.paraco69239110le_Con @t734 @t738)) 121.43/121.74 (define @t755 () (@var "BOUND_VARIABLE_14025" (-> tptp.list_char tptp.paraco1605129243lle_tv))) 121.43/121.74 (define @t756 () (tptp.paraco1325918602e_eval @t755 @t754)) 121.43/121.74 (define @t757 () (tptp.paraco1325918602e_eval @t755 @t734)) 121.43/121.74 (define @t758 () (tptp.paraco1325918602e_eval @t755 @t738)) 121.43/121.74 (define @t759 () (@list @t755 @t734 @t738)) 121.43/121.74 (define @t760 () (_ (_ tptp.paraco69239110le_Con @t703) @t710)) 121.43/121.74 (define @t761 () (_ tptp.paraco1325918602e_eval @t745)) 121.43/121.74 (define @t762 () (_ @t761 @t760)) 121.43/121.74 (define @t763 () (_ @t761 @t703)) 121.43/121.74 (define @t764 () (= @t763 @t762)) 121.43/121.74 (define @t765 () (_ @t761 @t710)) 121.43/121.74 (define @t766 () (= @t285 @t765)) 121.43/121.74 (define @t767 () (not @t766)) 121.43/121.74 (define @t768 () (or @t767 @t764)) 121.43/121.74 (define @t769 () (= @t338 @t762)) 121.43/121.74 (define @t770 () (or @t766 @t769)) 121.43/121.74 (define @t771 () (and @t770 @t768)) 121.43/121.74 (define @t772 () (= @t285 @t763)) 121.43/121.74 (define @t773 () (or @t772 @t771)) 121.43/121.74 (define @t774 () (= @t765 @t762)) 121.43/121.74 (define @t775 () (not @t772)) 121.43/121.74 (define @t776 () (or @t775 @t774)) 121.43/121.74 (define @t777 () (and @t776 @t773)) 121.43/121.74 (define @t778 () (= @t763 @t765)) 121.43/121.74 (define @t779 () (or @t778 @t777)) 121.43/121.74 (define @t780 () (forall @t753 @t779)) 121.43/121.74 (define @t781 () (_ (_ tptp.paraco69239110le_Con @t734) @t738)) 121.43/121.74 (define @t782 () (_ tptp.paraco1325918602e_eval @t755)) 121.43/121.74 (define @t783 () (_ @t782 @t781)) 121.43/121.74 (define @t784 () (_ @t782 @t734)) 121.43/121.74 (define @t785 () (= @t784 @t783)) 121.43/121.74 (define @t786 () (_ @t782 @t738)) 121.43/121.74 (define @t787 () (= @t784 @t786)) 121.43/121.74 (define @t788 () (not @t787)) 121.43/121.74 (define @t789 () (or @t788 @t785)) 121.43/121.74 (define @t790 () (forall @t759 @t789)) 121.43/121.74 (define @t791 () (= @t339 @t491)) 121.43/121.74 (define @t792 () (= @t285 @t342)) 121.43/121.74 (define @t793 () (not @t792)) 121.43/121.74 (define @t794 () (= @t338 @t491)) 121.43/121.74 (define @t795 () (= @t285 @t339)) 121.43/121.74 (define @t796 () (= @t342 @t491)) 121.43/121.74 (define @t797 () (not @t795)) 121.43/121.74 (define @t798 () (or @t349 (and (or @t797 @t796) (or @t795 (and (or @t792 @t794) (or @t793 @t791)))))) 121.43/121.74 (define @t799 () (forall @t351 @t798)) 121.43/121.74 (define @t800 () (@list @t252 @t336 @t335)) 121.43/121.74 (define @t801 () (or @t350 @t791)) 121.43/121.74 (define @t802 () (forall @t351 @t801)) 121.43/121.74 (define @t803 () (and @t802 @t799)) 121.43/121.74 (define @t804 () (and (=> @t793 @t794) (=> @t792 @t791))) 121.43/121.74 (define @t805 () (and (=> @t795 @t796) (=> @t797 @t804))) 121.43/121.74 (define @t806 () (and (=> @t349 @t791) (=> @t350 @t805))) 121.43/121.74 (define @t807 () (@const 8 (@ho-elim-sort (-> tptp.list_char tptp.paraco1605129243lle_tv)))) 121.43/121.74 (define @t808 () (_ @t706 @t705 @t807)) 121.43/121.74 (define @t809 () (_ @t708 @t808 (_ @t713 (_ @t712 @t711 tptp.p1) tptp.p2))) 121.43/121.74 (define @t810 () (_ @t708 @t808 tptp.p1)) 121.43/121.74 (define @t811 () (= @t810 @t809)) 121.43/121.74 (define @t812 () (@purify true)) 121.43/121.74 (define @t813 () (_ @t717 @t716 @t812)) 121.43/121.74 (define @t814 () (_ @t708 @t808 tptp.p2)) 121.43/121.74 (define @t815 () (= @t718 @t814)) 121.43/121.74 (define @t816 () (not @t815)) 121.43/121.74 (define @t817 () (or @t816 @t811)) 121.43/121.74 (define @t818 () (@purify false)) 121.43/121.74 (define @t819 () (_ @t717 @t716 @t818)) 121.43/121.74 (define @t820 () (= @t722 @t809)) 121.43/121.74 (define @t821 () (or @t815 @t820)) 121.43/121.74 (define @t822 () (and @t821 @t817)) 121.43/121.74 (define @t823 () (= @t718 @t810)) 121.43/121.74 (define @t824 () (or @t823 @t822)) 121.43/121.74 (define @t825 () (= @t809 @t814)) 121.43/121.74 (define @t826 () (not @t823)) 121.43/121.74 (define @t827 () (or @t826 @t825)) 121.43/121.74 (define @t828 () (and @t827 @t824)) 121.43/121.74 (define @t829 () (= @t810 @t814)) 121.43/121.74 (define @t830 () (or @t829 @t828)) 121.43/121.74 (define @t831 () (forall @t732 (or @t730 (and (or @t727 (= @t714 @t715)) (or @t725 (and @t723 (or @t720 (= @t714 @t709)))))))) 121.43/121.74 (define @t832 () (or @t816 (= @t809 @t810))) 121.43/121.74 (define @t833 () (and @t821 @t832)) 121.43/121.74 (define @t834 () (or @t823 @t833)) 121.43/121.74 (define @t835 () (and @t827 @t834)) 121.43/121.74 (define @t836 () (or @t829 @t835)) 121.43/121.74 (define @t837 () (= @t814 @t813)) 121.43/121.74 (define @t838 () (not @t837)) 121.43/121.74 (define @t839 () (or @t838 @t811)) 121.43/121.74 (define @t840 () (and (or @t837 (= @t809 @t819)) @t839)) 121.43/121.74 (define @t841 () (= @t810 @t813)) 121.43/121.74 (define @t842 () (or @t841 @t840)) 121.43/121.74 (define @t843 () (and (or (not @t841) @t825) @t842)) 121.43/121.74 (define @t844 () (or @t829 @t843)) 121.43/121.74 (define @t845 () (@list true false)) 121.43/121.74 (define @t846 () (not (= @t810 @t718))) 121.43/121.74 (assume @p1 (forall (@list @t4) (=> (not (= @t4 tptp.paraco367965286_Truth)) (=> (forall @t12 (not (= @t4 @t11))) (=> (forall @t9 (not (= @t4 @t8))) (=> (forall @t5 (not (= @t4 @t7))) (=> (forall @t5 (not (= @t4 @t6))) (not (forall @t5 (not (= @t4 @t3))))))))))) 121.43/121.74 (assume @p2 (forall (@list @t14 @t13) (=> (forall @t19 (=> (_ @t18 @t14) (_ @t18 @t13))) (_ (_ tptp.ord_le1784136743lle_tv @t14) @t13)))) 121.43/121.74 (assume @p3 (forall (@list @t21 @t22 @t20) (= (_ (_ tptp.member74361182lle_tv @t25) (_ (_ tptp.image_924970994lle_tv tptp.produc1000205111lle_fm) @t20)) (_ (_ tptp.member1474794996lle_fm @t24) @t20)))) 121.43/121.74 (assume @p4 (forall (@list @t34 @t33 @t32 @t26) (=> (_ @t38 @t37) (not (forall @t35 (=> (= @t34 (_ (_ tptp.produc1710735575lle_fm (_ @t33 @t28)) (_ @t32 @t27))) @t31)))))) 121.43/121.74 (assume @p5 (forall @t46 (=> @t45 @t42))) 121.43/121.74 (assume @p6 (forall @t51 (=> (forall @t50 (_ @t49 @t47)) (= tptp.top_to449985143lle_tv @t47)))) 121.43/121.74 (assume @p7 (forall (@list @t55 @t53 @t52) (not (= @t56 @t54)))) 121.43/121.74 (assume @p8 (forall (@list @t58 @t57) (=> @t61 (=> @t60 (_ (_ tptp.total_1775715973at_nat tptp.top_to1555900337at_nat) (_ (_ tptp.lex_prod_nat_nat @t58) @t57)))))) 121.43/121.74 (assume @p9 (forall @t64 (= (_ tptp.collec1102043437lle_tv (lambda (@list @t63) (_ (_ tptp.member146333935lle_tv @t63) @t62))) @t62))) 121.43/121.74 (assume @p10 (forall @t67 (_ @t66 tptp.top_to1057771083lle_tv))) 121.43/121.74 (assume @p11 (forall @t69 (= (_ (_ (_ tptp.if_Par1134130401lle_tv false) @t65) @t68) @t68))) 121.43/121.74 (assume @p12 (forall (@list @t73 @t71 @t70) (= (_ @t74 @t72) (_ @t71 @t70)))) 121.43/121.74 (assume @p13 (forall (@list @t76 @t75) (=> @t78 (=> @t77 (= (_ (_ tptp.image_1507992062lle_tv (_ (_ tptp.produc210389789lle_tv @t76) @t75)) tptp.top_to1555900337at_nat) tptp.top_to1871154984lle_tv))))) 121.43/121.74 (assume @p14 (forall @t90 (=> @t89 (=> (= @t87 @t80) (=> @t86 (= @t84 @t79)))))) 121.43/121.74 (assume @p15 (forall @t92 (_ (_ tptp.member1474794996lle_fm @t91) tptp.top_to775056195lle_fm))) 121.43/121.74 (assume @p16 (forall @t99 (=> @t98 (exists @t97 @t96)))) 121.43/121.74 (assume @p17 (exists @t97 (_ @t100 tptp.top_to1057771083lle_tv))) 121.43/121.74 (assume @p18 (forall (@list @t106 @t105 @t26 @t102 @t101) (=> @t110 (_ (_ tptp.member1569366824lle_tv @t107) @t104)))) 121.43/121.74 (assume @p19 (forall (@list @t81 @t111 @t82) (=> @t116 @t115))) 121.43/121.74 (assume @p20 (forall @t92 (=> (forall (@list @t117 @t10) (not (= @t91 (_ @t118 @t11)))) (=> (forall (@list @t117) (not (= @t91 (_ @t118 tptp.paraco367965286_Truth)))) (=> (forall (@list @t117 @t2) (not (= @t91 (_ @t118 @t8)))) (=> (forall @t119 (not (= @t91 (_ @t118 @t7)))) (=> (forall @t119 (not (= @t91 (_ @t118 @t6)))) (not (forall @t119 (not (= @t91 (_ @t118 @t3)))))))))))) 121.43/121.74 (assume @p21 (forall (@list @t120 @t121) (=> (forall @t129 (=> @t128 (=> (_ (_ tptp.member813679063lle_tv @t124) @t120) @t126))) @t123))) 121.43/121.74 (assume @p22 (forall (@list @t130 @t131) (= (_ (_ tptp.member1474794996lle_fm @t130) (_ tptp.collec835549234lle_fm @t131)) (_ @t131 @t130)))) 121.43/121.74 (assume @p23 (forall (@list @t53 @t52) (not (= tptp.paraco367965286_Truth @t54)))) 121.43/121.74 (assume @p24 (forall (@list @t81 @t134) (=> @t116 (= (_ (_ tptp.member_nat @t134) @t139) (exists @t138 (and (forall @t137 (=> (= @t134 @t136) (= @t135 @t132))) (= @t134 @t133))))))) 121.43/121.74 (assume @p25 (forall (@list @t53 @t52 @t141 @t140) (not (= @t54 @t142)))) 121.43/121.74 (assume @p26 (forall (@list @t144 @t65 @t143) (= (_ (_ tptp.member1569366824lle_tv @t147) (_ (_ tptp.image_769496456lle_tv tptp.produc178635363at_nat) @t143)) (_ (_ tptp.member1234290208at_nat @t145) @t143)))) 121.43/121.74 (assume @p27 (forall @t155 (=> @t154 (=> @t152 @t150)))) 121.43/121.74 (assume @p28 (not (= @t158 @t157))) 121.43/121.74 (assume @p29 (forall @t170 (=> @t169 (=> @t167 (=> @t165 (=> @t163 @t161)))))) 121.43/121.74 (assume @p30 (forall (@list @t58 @t171) (=> @t61 (=> @t173 (_ (_ tptp.total_517371324lle_tv tptp.top_to1411004326lle_tv) (_ (_ tptp.lex_pr413684186lle_tv @t58) @t171)))))) 121.43/121.74 (assume @p31 (forall (@list @t174 @t81) (=> @t181 @t175))) 121.43/121.74 (assume @p32 (forall @t188 (=> @t187 (exists @t97 @t184)))) 121.43/121.74 (assume @p33 (forall (@list @t53 @t52 @t189 @t190) (= (= @t54 (_ (_ tptp.paraco69239110le_Con @t189) @t190)) (and (= @t52 @t190) (= @t53 @t189))))) 121.43/121.74 (assume @p34 (exists @t193 (_ @t192 tptp.top_to975729152tv_nat))) 121.43/121.74 (assume @p35 (forall @t205 (=> @t204 (=> @t202 (=> @t200 (=> @t198 @t196)))))) 121.43/121.74 (assume @p36 (forall @t216 (=> @t215 (=> (not @t213) (=> @t212 (=> @t211 (not @t208))))))) 121.43/121.74 (assume @p37 (exists @t50 (_ @t49 tptp.top_to449985143lle_tv))) 121.43/121.74 (assume @p38 (forall @t224 (=> @t223 (=> @t221 (=> @t86 (=> @t219 (not @t217))))))) 121.43/121.74 (assume @p39 (forall (@list @t226 @t225) (=> @t228 (=> @t227 (_ (_ tptp.inj_on1745913142lle_tv (_ (_ tptp.produc2101297531lle_tv @t226) @t225)) tptp.top_to1411004326lle_tv))))) 121.43/121.74 (assume @p40 (forall @t232 (=> @t231 (= (_ tptp.produc1636169559lle_tv @t229) @t144)))) 121.43/121.74 (assume @p41 (forall (@list @t233) (not (= @t234 tptp.paraco367965286_Truth)))) 121.43/121.74 (assume @p42 (= tptp.paraco1325918602e_eval (lambda (@list @t236 @t235) (_ @t237 (_ tptp.paraco445776468le_Neg (_ tptp.paraco445776468le_Neg @t235)))))) 121.43/121.74 (assume @p43 (forall (@list @t238 @t151) (=> (forall @t243 (=> (_ (_ tptp.member1531318361lle_tv @t241) @t238) (=> (_ (_ tptp.member1531318361lle_tv @t240) @t238) @t242))) @t239))) 121.43/121.74 (assume @p44 (forall @t250 (= @t249 (forall (@list @t245 @t244) (=> (= @t248 @t247) @t246))))) 121.43/121.74 (assume @p45 (forall (@list @t252 @t251) (= (_ @t253 (_ tptp.paraco1480028776le_Pro @t251)) (_ @t252 @t251)))) 121.43/121.74 (assume @p46 (forall @t256 (=> @t255 @t254))) 121.43/121.74 (assume @p47 (forall @t260 (= (_ @t259 false) @t257))) 121.43/121.74 (assume @p48 (forall @t262 (= (_ tptp.collec835549234lle_fm (lambda (@list @t261) (_ (_ tptp.member1474794996lle_fm @t261) @t20))) @t20))) 121.43/121.74 (assume @p49 (forall (@list @t94) (= @t98 (forall @t137 (exists @t263 (= @t135 (_ @t94 @t245))))))) 121.43/121.74 (assume @p50 (forall (@list @t182 @t264 @t209) (=> @t267 (=> @t266 @t215)))) 121.43/121.74 (assume @p51 (forall (@list @t82 @t76) (=> (forall @t275 (=> @t274 (=> @t272 @t271))) @t223))) 121.43/121.74 (assume @p52 (forall (@list @t276 @t76) (=> (forall @t180 (= (_ @t276 @t270) @t176)) @t277))) 121.43/121.74 (assume @p53 (forall (@list @t70 @t278) (= (= @t72 (_ tptp.paraco793048302_Indet @t278)) (= @t70 @t278)))) 121.43/121.74 (assume @p54 (forall (@list @t280 @t281 @t284 @t68 @t279) (=> (_ @t280 @t281) (=> (_ (_ tptp.member1531318361lle_tv (_ (_ tptp.produc2058540732lle_tv @t284) @t68)) (_ @t279 @t281)) (_ (_ tptp.member1339857875lle_tv (_ (_ tptp.produc2057188974lle_tv (_ @t282 @t284)) @t283)) (_ (_ tptp.same_f1138187694lle_tv @t280) @t279)))))) 121.43/121.74 (assume @p55 (forall (@list @t160) (_ @t164 tptp.top_to975729152tv_nat))) 121.43/121.74 (assume @p56 (= tptp.top_to1555900337at_nat (_ tptp.collec7649004at_nat tptp.top_to632227436_nat_o))) 121.43/121.74 (assume @p57 @t288) 121.43/121.74 (assume @p58 (forall @t155 (=> @t154 @t289))) 121.43/121.74 (assume @p59 (forall @t224 (=> @t223 (=> @t86 (=> @t219 @t254))))) 121.43/121.74 (assume @p60 (forall @t294 (= @t293 (forall (@list @t291 @t290) (=> (= (_ @t166 @t291) (_ @t166 @t290)) @t292))))) 121.43/121.74 (assume @p61 (forall @t51 (= (_ tptp.collec1624074086lle_tv (lambda (@list @t295) (_ (_ tptp.member1569366824lle_tv @t295) @t47))) @t47))) 121.43/121.74 (assume @p62 (forall (@list @t299 @t297 @t298 @t296) (= (= @t300 (_ (_ tptp.paraco1745535428le_Eql @t298) @t296)) (and (= @t299 @t298) (= @t297 @t296))))) 121.43/121.74 (assume @p63 (forall @t307 (=> @t306 @t305))) 121.43/121.74 (assume @p64 (forall (@list @t182 @t39) (=> @t249 (= (_ (_ tptp.member266900804lle_tv @t39) @t186) (exists @t263 (and (forall @t308 (=> (= @t39 @t247) (= @t244 @t245))) (= @t39 @t248))))))) 121.43/121.74 (assume @p65 (forall @t312 (=> @t123 (=> @t311 (=> @t309 @t305))))) 121.43/121.74 (assume @p66 (forall @t64 (=> (forall @t315 (_ @t314 @t62)) (= tptp.top_to138697918lle_tv @t62)))) 121.43/121.74 (assume @p67 (forall @t90 (=> @t89 (=> @t317 @t316)))) 121.43/121.74 (assume @p68 (forall @t320 (=> @t215 (= (_ (_ tptp.image_335818702lle_tv @t319) @t318) @t209)))) 121.43/121.74 (assume @p69 (forall (@list @t40 @t39 @t321 @t323 @t322) (=> @t327 (_ (_ tptp.member1569366824lle_tv @t326) @t325)))) 121.43/121.74 (assume @p70 (forall (@list @t76 @t174) (=> @t78 (=> @t175 (= (_ (_ tptp.image_1597721174tv_nat (_ (_ tptp.produc1250721397at_nat @t76) @t174)) tptp.top_to1555900337at_nat) tptp.top_to975729152tv_nat))))) 121.43/121.74 (assume @p71 (forall (@list @t76 @t276) (=> @t78 (=> @t277 (= (_ (_ tptp.image_53754658tv_nat (_ (_ tptp.produc189459613tv_nat @t76) @t276)) tptp.top_to1411004326lle_tv) tptp.top_to975729152tv_nat))))) 121.43/121.74 (assume @p72 (forall (@list @t197 @t201 @t328) (=> (forall (@list @t329) (=> (_ (_ tptp.member701585322at_nat @t329) @t197) (= (_ @t201 @t329) (_ @t328 @t329)))) (= @t204 (_ (_ tptp.inj_on26176689at_nat @t328) @t197))))) 121.43/121.74 (assume @p73 (exists @t332 (_ @t331 tptp.top_to775056195lle_fm))) 121.43/121.74 (assume @p74 (forall @t170 (=> @t169 (=> (not @t161) (=> @t165 (=> @t163 (not @t167))))))) 121.43/121.74 (assume @p75 (forall (@list @t162) (=> (forall @t193 @t333) (= tptp.top_to975729152tv_nat @t162)))) 121.43/121.74 (assume @p76 (forall (@list @t55 @t334) (= (= @t56 (_ tptp.paraco445776468le_Neg @t334)) (= @t55 @t334)))) 121.43/121.74 (assume @p77 (forall @t351 (and (=> @t349 (= @t337 @t285)) (=> @t350 (and (=> @t347 (= @t337 @t342)) (=> @t348 (and (=> @t345 (= @t337 @t339)) (=> @t346 (and (=> @t344 (and (=> (not @t343) (= @t337 @t338)) (=> @t343 (= @t337 @t341)))) (=> @t340 (= @t337 (_ @t253 (_ tptp.paraco445776468le_Neg @t335))))))))))))) 121.43/121.74 (assume @p78 (forall (@list @t238 @t151 @t352) (=> (forall (@list @t353) (=> (_ (_ tptp.member1531318361lle_tv @t353) @t238) (= (_ @t151 @t353) (_ @t352 @t353)))) (= @t239 (_ (_ tptp.inj_on2112487900lle_tv @t352) @t238))))) 121.43/121.74 (assume @p79 (forall (@list @t354 @t22 @t21) (= (_ (_ tptp.produc1807466521lle_tv @t354) @t24) (_ @t23 (_ @t354 @t21))))) 121.43/121.74 (assume @p80 (forall @t232 (=> @t231 (= (_ tptp.produc547496597lle_tv @t229) @t230)))) 121.43/121.74 (assume @p81 (forall @t260 (= (_ @t259 true) @t258))) 121.43/121.74 (assume @p82 (forall @t355 (=> (forall @t129 @t126) @t306))) 121.43/121.74 (assume @p83 (forall (@list @t357 @t356) (=> (forall (@list @t365) (_ @t357 (_ tptp.paraco1480028776le_Pro @t365))) (=> @t364 (=> (forall (@list @t363) (=> (_ @t357 @t363) (_ @t357 (_ tptp.paraco445776468le_Neg @t363)))) (=> (forall @t362 (=> @t361 (=> @t360 (_ @t357 (_ (_ tptp.paraco69239110le_Con @t359) @t358))))) (=> (forall @t362 (=> @t361 (=> @t360 (_ @t357 (_ (_ tptp.paraco1389086619le_Eql @t359) @t358))))) (=> (forall @t362 (=> @t361 (=> @t360 (_ @t357 (_ (_ tptp.paraco1745535428le_Eql @t359) @t358))))) (_ @t357 @t356))))))))) 121.43/121.74 (assume @p84 (forall (@list @t94 @t174) (=> @t98 (=> @t175 (= (_ (_ tptp.image_1805124128at_nat (_ (_ tptp.produc386540311at_nat @t94) @t174)) tptp.top_to975729152tv_nat) tptp.top_to1555900337at_nat))))) 121.43/121.74 (assume @p85 (forall @t368 (= @t367 @t366))) 121.43/121.74 (assume @p86 (forall (@list @t22 @t21 @t369) (=> (= @t370 @t369) (= @t21 @t369)))) 121.43/121.74 (assume @p87 (forall (@list @t371) (= @t371 (_ (_ tptp.produc1680557635lle_tv (_ tptp.produc1636169559lle_tv @t371)) (_ tptp.produc547496597lle_tv @t371))))) 121.43/121.74 (assume @p88 (= @t158 (_ @t372 @t287))) 121.43/121.74 (assume @p89 (forall (@list @t373) (exists @t35 (= @t373 @t29)))) 121.43/121.74 (assume @p90 (forall (@list @t94 @t58) (=> (_ (_ tptp.inj_on1179712058tv_nat @t94) tptp.top_to1057771083lle_tv) (=> @t61 (_ @t172 (_ (_ tptp.inv_im1292588663lle_tv @t58) @t94)))))) 121.43/121.74 (assume @p91 (forall (@list @t182 @t264 @t374 @t209) (=> @t267 (=> (_ @t375 @t264) (=> @t266 @t376))))) 121.43/121.74 (assume @p92 (forall (@list @t81 @t379 @t82 @t377) (=> (_ @t88 @t379) (=> (_ @t381 @t379) (=> (_ @t380 @t379) @t378))))) 121.43/121.74 (assume @p93 (= tptp.top_top_set_nat (_ tptp.collect_nat tptp.top_top_nat_o))) 121.43/121.74 (assume @p94 (forall (@list @t383 @t382) (=> (forall (@list @t384) (_ @t383 (_ tptp.paraco1344940915le_Det @t384))) (=> (forall @t180 (_ @t383 (_ tptp.paraco793048302_Indet @t176))) (_ @t383 @t382))))) 121.43/121.74 (assume @p95 (forall (@list @t58 @t81) (=> (_ tptp.wf_nat @t58) (=> @t116 (_ tptp.wf_nat (_ (_ tptp.image_815163717at_nat (_ @t385 @t81)) @t58)))))) 121.43/121.74 (assume @p96 (= tptp.top_to1057771083lle_tv (_ tptp.collec1111687558lle_tv tptp.top_to1299250770e_tv_o))) 121.43/121.74 (assume @p97 (forall @t386 (=> (forall @t180 (=> @t274 @t179)) @t89))) 121.43/121.74 (assume @p98 (forall (@list @t4 @t387) (= (_ tptp.produc1232814113lle_tv @t390) @t389))) 121.43/121.74 (assume @p99 (forall (@list @t393 @t392 @t391) (=> (forall @t401 (_ @t397 @t400)) (=> (forall @t398 (_ @t397 @t395)) (_ (_ @t393 @t392) @t391))))) 121.43/121.74 (assume @p100 (forall @t404 (=> @t403 (not (forall @t180 (not @t402)))))) 121.43/121.74 (assume @p101 (forall @t405 (=> @t116 @t378))) 121.43/121.74 (assume @p102 (forall @t407 (=> (forall @t401 (not (= @t229 (_ @t406 @t400)))) (not (forall @t398 (not (= @t229 (_ @t406 @t395)))))))) 121.43/121.74 (assume @p103 (forall (@list @t411) (not (forall @t412 (not (= @t411 @t410)))))) 121.43/121.74 (assume @p104 (forall @t419 (= @t418 (and @t416 @t414)))) 121.43/121.74 (assume @p105 (forall (@list @t197 @t201) (=> (forall @t425 (=> @t424 (=> (_ (_ tptp.member701585322at_nat @t420) @t197) @t422))) @t204))) 121.43/121.74 (assume @p106 (forall @t351 (= @t426 (_ tptp.paraco1344940915le_Det @t349)))) 121.43/121.74 (assume @p107 (forall (@list @t427 @t428) (= (_ (_ tptp.member1569366824lle_tv @t427) (_ tptp.collec1624074086lle_tv @t428)) (_ @t428 @t427)))) 121.43/121.74 (assume @p108 (forall (@list @t75 @t94) (=> (forall @t97 (= (_ @t75 @t95) @t93)) @t77))) 121.43/121.74 (assume @p109 (forall (@list @t55) (not (= tptp.paraco367965286_Truth @t56)))) 121.43/121.74 (assume @p110 (forall (@list @t106 @t105 @t26 @t33 @t32) (=> @t110 (_ (_ tptp.member1474794996lle_fm @t429) @t37)))) 121.43/121.74 (assume @p111 (forall (@list @t39 @t431) (= (= @t39 (_ tptp.produc547496597lle_tv @t431)) (exists (@list @t430) (= @t431 (_ (_ tptp.produc1680557635lle_tv @t430) @t39)))))) 121.43/121.74 (assume @p112 (forall @t432 (=> @t116 (=> @t317 @t220)))) 121.43/121.74 (assume @p113 (forall @t216 (=> @t215 (=> (= @t207 @t68) (=> @t212 (= @t433 @t65)))))) 121.43/121.74 (assume @p114 (forall @t443 (=> @t442 (=> (_ @t434 (_ @t282 @t436)) (=> (forall @t441 (=> @t440 (=> @t439 (not (_ @t434 (_ @t282 @t400)))))) (not (forall @t438 (=> @t437 (=> @t435 (not (_ @t434 (_ @t282 @t395)))))))))))) 121.43/121.74 (assume @p115 (forall (@list @t106 @t373) (= (= @t106 (_ tptp.produc29804011lle_fm @t373)) (exists (@list @t444) (= @t373 (_ @t108 @t444)))))) 121.43/121.74 (assume @p116 (forall (@list @t40 @t431) (= (= @t40 (_ tptp.produc1636169559lle_tv @t431)) (exists (@list @t445) (= @t431 (_ @t43 @t445)))))) 121.43/121.74 (assume @p117 (forall (@list @t447 @t446 @t40 @t39) (= (_ @t449 @t44) @t448))) 121.43/121.74 (assume @p118 (exists @t180 (_ @t273 tptp.top_top_set_nat))) 121.43/121.74 (assume @p119 (forall @t188 (=> @t187 (not (forall @t97 (not @t184)))))) 121.43/121.74 (assume @p120 (forall @t451 (=> @t78 (exists @t180 @t450)))) 121.43/121.74 (assume @p121 (forall @t455 (= (_ tptp.produc547496597lle_tv @t454) @t452))) 121.43/121.74 (assume @p122 (forall @t458 (= @t456 @t457))) 121.43/121.74 (assume @p123 (forall @t419 (=> @t418 (not (=> @t414 (not @t416)))))) 121.43/121.74 (assume @p124 (forall (@list @t53 @t52 @t299 @t297) (not (= @t54 @t300)))) 121.43/121.74 (assume @p125 (forall (@list @t302) (_ @t310 tptp.top_to1411004326lle_tv))) 121.43/121.74 (assume @p126 (forall (@list @t81 @t75) (=> @t403 (=> @t77 (= (_ (_ tptp.image_1674248956lle_tv (_ (_ tptp.produc313957681lle_tv @t81) @t75)) tptp.top_to1555900337at_nat) tptp.top_to1411004326lle_tv))))) 121.43/121.74 (assume @p127 (forall (@list @t120 @t121 @t459) (=> (forall (@list @t460) (=> (_ (_ tptp.member813679063lle_tv @t460) @t120) (= (_ @t121 @t460) (_ @t459 @t460)))) (= @t123 (_ (_ tptp.inj_on1745913142lle_tv @t459) @t120))))) 121.43/121.74 (assume @p128 (forall @t464 (= (_ tptp.produc29804011lle_fm @t463) @t461))) 121.43/121.74 (assume @p129 (forall (@list @t55 @t141 @t140) (not (= @t56 @t142)))) 121.43/121.74 (assume @p130 (forall (@list @t466 @t468 @t26 @t465) (=> (_ (_ tptp.member1474794996lle_fm (_ @t467 @t468)) @t26) (=> (= @t465 @t468) (_ (_ tptp.member1474794996lle_fm (_ @t467 @t465)) @t26))))) 121.43/121.74 (assume @p131 (forall (@list @t469) (_ (_ tptp.member146333935lle_tv @t469) tptp.top_to138697918lle_tv))) 121.43/121.74 (assume @p132 (forall @t67 (=> (not (= @t65 @t285)) (=> (not (= @t65 @t338)) (not (forall @t438 (not (= @t65 @t395)))))))) 121.43/121.74 (assume @p133 (forall (@list @t471 @t470) (=> (forall @t180 (= (_ @t471 @t176) (_ @t470 @t176))) (= @t472 (_ tptp.collect_nat @t470))))) 121.43/121.74 (assume @p134 (forall (@list @t474 @t22 @t475 @t21 @t473) (=> (_ @t474 @t22) (=> (_ (_ tptp.member334644067lle_fm (_ (_ tptp.produc1126104134lle_fm @t475) @t21)) (_ @t473 @t22)) (_ (_ tptp.member1592865093lle_fm (_ (_ tptp.produc407632608lle_fm (_ @t23 @t475)) @t24)) (_ (_ tptp.same_f1581085506lle_fm @t474) @t473)))))) 121.43/121.74 (assume @p135 (forall (@list @t477 @t476) (=> (forall @t35 (=> (_ @t30 @t477) (_ @t30 @t476))) (_ (_ tptp.ord_le1007985907lle_fm @t477) @t476)))) 121.43/121.74 (assume @p136 (_ (_ tptp.inj_on_nat_nat tptp.f) tptp.top_top_set_nat)) 121.43/121.74 (assume @p137 (forall (@list @t299 @t297) (not (= tptp.paraco367965286_Truth @t300)))) 121.43/121.74 (assume @p138 (forall @t479 (=> @t215 (=> (_ @t478 @t209) @t267)))) 121.43/121.74 (assume @p139 (forall @t458 (= @t457 @t456))) 121.43/121.74 (assume @p140 (forall (@list @t82 @t81 @t174) (=> (forall @t484 (=> @t483 (= (_ @t81 @t482) (_ @t174 @t482)))) (= @t89 @t481)))) 121.43/121.74 (assume @p141 (forall @t485 (= @t403 (forall @t137 (exists @t138 (= @t135 @t133)))))) 121.43/121.74 (assume @p142 (forall (@list @t22 @t21 @t106) (=> (= @t486 @t106) (= @t22 @t106)))) 121.43/121.74 (assume @p143 (forall @t443 (=> @t442 (=> (forall @t441 (=> @t440 (not @t439))) (not (forall @t438 (=> @t437 (not @t435)))))))) 121.43/121.74 (assume @p144 (forall (@list @t487 @t102 @t101 @t26) (=> (_ @t488 @t104) (not (forall @t35 (=> (= @t487 (_ (_ tptp.produc1680557635lle_tv (_ @t102 @t28)) (_ @t101 @t27))) @t31)))))) 121.43/121.74 (assume @p145 (forall @t485 (=> (forall @t275 @t489) @t116))) 121.43/121.74 (assume @p146 @t502) 121.43/121.74 (assume @p147 (forall (@list @t162 @t166 @t503) (=> (forall (@list @t504) (=> (_ (_ tptp.member737151281tv_nat @t504) @t162) (= (_ @t166 @t504) (_ @t503 @t504)))) (= @t169 (_ (_ tptp.inj_on552895452tv_nat @t503) @t162))))) 121.43/121.74 (assume @p148 (forall (@list @t81 @t82 @t80) (=> @t89 (=> (_ @t218 @t114) (= (_ @t81 @t84) @t80))))) 121.43/121.74 (assume @p149 (forall @t99 (=> @t98 (not (forall @t97 (not @t96)))))) 121.43/121.74 (assume @p150 (forall (@list @t505 @t506) (= (_ (_ tptp.member146333935lle_tv @t505) (_ tptp.collec1102043437lle_tv @t506)) (_ @t506 @t505)))) 121.43/121.74 (assume @p151 (forall @t386 (=> (forall @t180 (=> @t274 (forall (@list @t507) (=> (_ (_ tptp.member_nat @t507) @t82) (= (= @t178 (_ @t174 (_ @t81 @t507))) (= (_ @t174 @t176) (_ @t174 @t507))))))) (=> @t89 (= (_ @t480 @t114) @t481))))) 121.43/121.74 (assume @p152 (forall (@list @t453 @t452 @t509 @t508) (= (= @t454 (_ (_ tptp.produc1680557635lle_tv @t509) @t508)) (and (= @t453 @t509) (= @t452 @t508))))) 121.43/121.74 (assume @p153 (forall @t513 (=> (forall @t97 (=> @t512 @t511)) @t215))) 121.43/121.74 (assume @p154 (forall @t307 (=> @t306 (=> @t304 @t303)))) 121.43/121.74 (assume @p155 (forall (@list @t374 @t383) (= (_ @t375 @t514) (_ @t383 @t374)))) 121.43/121.74 (assume @p156 (forall (@list @t34 @t447 @t446 @t321) (=> (_ @t38 @t516) (not (forall @t19 (=> (= @t34 (_ (_ tptp.produc1710735575lle_fm (_ @t447 @t16)) (_ @t446 @t15))) @t515)))))) 121.43/121.74 (assume @p157 (= tptp.top_to975729152tv_nat (_ tptp.collec848462447tv_nat tptp.top_to900819589_nat_o))) 121.43/121.74 (assume @p158 (forall @t521 (=> (forall @t520 (_ @t519 @t517)) (= tptp.top_to1541413903at_nat @t517)))) 121.43/121.74 (assume @p159 (forall @t407 (_ (_ tptp.member1569366824lle_tv @t229) tptp.top_to449985143lle_tv))) 121.43/121.74 (assume @p160 (forall @t513 (=> (forall @t97 (=> @t512 (forall (@list @t524) (=> (_ (_ tptp.member266900804lle_tv @t524) @t209) (= (= @t510 (_ @t322 (_ @t182 @t524))) (= (_ @t322 @t93) (_ @t322 @t524))))))) (=> @t215 (= (_ @t522 @t318) @t523))))) 121.43/121.74 (assume @p161 (forall (@list @t81 @t82 @t79) (=> @t89 (=> @t86 (= (_ @t83 @t87) @t79))))) 121.43/121.74 (assume @p162 (forall @t368 (= @t366 @t367))) 121.43/121.74 (assume @p163 (forall @t525 (=> (_ tptp.order_769474267at_nat @t81) (=> @t403 (=> @t181 (_ tptp.order_769474267at_nat @t174)))))) 121.43/121.74 (assume @p164 (forall @t432 (=> @t116 @t526))) 121.43/121.74 (assume @p165 (forall @t455 (= (_ tptp.produc1636169559lle_tv @t454) @t453))) 121.43/121.74 (assume @p166 (forall (@list @t33 @t32 @t106 @t105) (= (_ @t36 @t109) @t429))) 121.43/121.74 (assume @p167 (forall (@list @t68) (=> (forall (@list @t528) (not (= @t68 (_ tptp.paraco1344940915le_Det @t528)))) (not (forall (@list @t527) (not (= @t68 (_ tptp.paraco793048302_Indet @t527)))))))) 121.43/121.74 (assume @p168 (forall (@list @t252) (= (_ @t253 tptp.paraco367965286_Truth) @t285))) 121.43/121.74 (assume @p169 (forall (@list @t131 @t373) (=> @t533 (_ @t131 @t373)))) 121.43/121.74 (assume @p170 (forall (@list @t82 @t76 @t75) (=> (forall @t484 (=> @t483 (= (_ @t76 @t482) (_ @t75 @t482)))) (= @t223 (_ (_ tptp.inj_on1955349912lle_tv @t75) @t82))))) 121.43/121.74 (assume @p171 (forall @t534 (=> @t89 (= (_ (_ tptp.image_nat_nat @t83) @t114) @t82)))) 121.43/121.74 (assume @p172 (forall @t405 (=> @t89 (=> (_ @t380 @t82) @t535)))) 121.43/121.74 (assume @p173 (forall (@list @t536) (_ (_ tptp.member112824072at_nat @t536) tptp.top_to1541413903at_nat))) 121.43/121.74 (assume @p174 (= tptp.top_to1411004326lle_tv (_ tptp.collec924990229lle_tv tptp.top_to1889334367e_tv_o))) 121.43/121.74 (assume @p175 (forall @t46 (=> @t42 @t45))) 121.43/121.74 (assume @p176 (forall @t294 (=> (forall @t539 @t538) @t293))) 121.43/121.74 (assume @p177 (forall @t534 (=> @t89 (_ (_ tptp.inj_on_nat_nat @t83) @t114)))) 121.43/121.74 (assume @p178 @t541) 121.43/121.74 (assume @p179 (forall (@list @t461 @t462 @t543 @t542) (= (= @t463 (_ (_ tptp.produc1710735575lle_fm @t543) @t542)) (and (= @t461 @t543) (= @t462 @t542))))) 121.43/121.74 (assume @p180 (forall (@list @t162 @t166) (=> (forall @t539 (=> @t333 (=> (_ (_ tptp.member737151281tv_nat @t537) @t162) @t538))) @t169))) 121.43/121.74 (assume @p181 (forall (@list @t323 @t281 @t68) (= (_ (_ tptp.produc939316703lle_tv @t323) @t283) (_ (_ tptp.produc1680557635lle_tv (_ @t323 @t281)) @t68)))) 121.43/121.74 (assume @p182 (forall (@list @t336 @t544) (=> @t547 @t546))) 121.43/121.74 (assume @p183 (forall (@list @t550 @t68 @t281) (=> (_ (_ @t550 @t68) @t281) (_ (_ @t550 @t549) @t548)))) 121.43/121.74 (assume @p184 (forall (@list @t323 @t322 @t40 @t39) (= (_ @t324 @t44) @t326))) 121.43/121.74 (assume @p185 (forall (@list @t182 @t209 @t68) (=> @t215 (=> (_ @t210 @t318) (= (_ @t182 @t433) @t68))))) 121.43/121.74 (assume @p186 (forall @t216 (=> @t215 (=> @t208 (=> @t212 (=> @t211 @t213)))))) 121.43/121.74 (assume @p187 (forall (@list @t65 @t144) (= (_ tptp.produc178635363at_nat @t145) @t147))) 121.43/121.74 (assume @p188 (forall @t205 (=> @t204 (=> (not @t196) (=> @t200 (=> @t198 (not @t202))))))) 121.43/121.74 (assume @p189 (forall (@list @t281 @t68 @t40) (=> (= @t548 @t40) (= @t281 @t40)))) 121.43/121.74 (assume @p190 (forall (@list @t281 @t68) (= (_ tptp.produc225513635lle_tv @t283) @t551))) 121.43/121.74 (assume @p191 (forall (@list @t81 @t58) (=> @t116 (=> @t61 (_ @t59 (_ (_ tptp.inv_image_nat_nat @t58) @t81)))))) 121.43/121.74 (assume @p192 (forall (@list @t552 @t22 @t21 @t130) (=> (_ (_ @t552 @t22) @t21) (=> (= @t130 @t24) (_ (_ @t552 (_ tptp.produc29804011lle_fm @t130)) (_ tptp.produc148705065lle_fm @t130)))))) 121.43/121.74 (assume @p193 (forall @t256 (=> @t255 (=> @t217 @t220)))) 121.43/121.74 (assume @p194 (forall @t451 (=> @t78 (not (forall @t180 (not @t450)))))) 121.43/121.74 (assume @p195 (forall (@list @t82 @t81) (=> (forall @t275 (=> @t274 (=> @t272 @t489))) @t89))) 121.43/121.74 (assume @p196 (forall @t554 (=> (forall @t425 @t422) @t553))) 121.43/121.74 (assume @p197 (exists @t555 (_ @t127 tptp.top_to1411004326lle_tv))) 121.43/121.74 (assume @p198 (forall (@list @t102 @t101 @t106 @t105) (= (_ @t103 @t109) @t107))) 121.43/121.74 (assume @p199 (forall (@list @t76 @t322) (=> @t78 (=> @t556 (= (_ (_ tptp.image_988201162lle_tv (_ (_ tptp.produc1975500101lle_tv @t76) @t322)) tptp.top_to1411004326lle_tv) tptp.top_to1871154984lle_tv))))) 121.43/121.74 (assume @p200 (forall @t485 (=> @t116 (_ (_ tptp.inj_on772319074lle_tv @t557) tptp.top_to1057771083lle_tv)))) 121.43/121.74 (assume @p201 (forall (@list @t141 @t140 @t558 @t559) (= (= @t142 (_ (_ tptp.paraco1389086619le_Eql @t558) @t559)) (and (= @t140 @t559) (= @t141 @t558))))) 121.43/121.74 (assume @p202 (forall (@list @t428 @t431) (=> @t560 (_ @t428 @t431)))) 121.43/121.74 (assume @p203 (forall (@list @t357 @t561) (=> @t364 (=> (forall @t12 (_ @t357 @t11)) (=> (forall @t9 (=> @t563 (_ @t357 @t8))) (=> (forall @t5 (=> @t563 (=> @t562 (_ @t357 @t7)))) (=> (forall @t5 (=> @t563 (=> @t562 (_ @t357 @t6)))) (=> (forall @t5 (=> @t563 (=> @t562 (_ @t357 @t3)))) (_ @t357 @t561))))))))) 121.43/121.74 (assume @p204 (forall @t565 (= (_ tptp.collec1111687558lle_tv (lambda @t263 (_ @t564 @t209))) @t209))) 121.43/121.74 (assume @p205 (forall (@list @t111 @t471) (= (_ @t112 @t472) (_ @t471 @t111)))) 121.43/121.74 (assume @p206 (forall (@list @t141 @t140 @t299 @t297) (not (= @t142 @t300)))) 121.43/121.74 (assume @p207 (forall (@list @t195) (_ @t199 tptp.top_to1555900337at_nat))) 121.43/121.74 (assume @p208 (forall (@list @t81 @t276) (=> @t403 (=> @t277 (= (_ (_ tptp.image_1787705850at_nat (_ (_ tptp.produc1685803475tv_nat @t81) @t276)) tptp.top_to1411004326lle_tv) tptp.top_to1555900337at_nat))))) 121.43/121.74 (assume @p209 (forall @t320 (=> @t215 (_ (_ tptp.inj_on772319074lle_tv @t319) @t318)))) 121.43/121.74 (assume @p210 (forall @t567 (= (_ tptp.collect_nat (lambda @t138 (_ @t566 @t82))) @t82))) 121.43/121.74 (assume @p211 (forall (@list @t81 @t568) (= (_ @t557 @t569) @t569))) 121.43/121.74 (assume @p212 (forall (@list @t383 @t570) (=> (forall @t97 (= (_ @t383 @t93) (_ @t570 @t93))) (= @t514 (_ tptp.collec1111687558lle_tv @t570))))) 121.43/121.74 (assume @p213 (forall (@list @t81 @t571) (= (_ @t557 (_ tptp.paraco793048302_Indet @t571)) (_ tptp.paraco793048302_Indet (_ @t81 @t571))))) 121.43/121.74 (assume @p214 (forall @t404 (=> @t403 (exists @t180 @t402)))) 121.43/121.74 (assume @p215 (forall @t521 (= (_ tptp.collec791369802at_nat (lambda (@list @t572) (_ (_ tptp.member112824072at_nat @t572) @t517))) @t517))) 121.43/121.74 (assume @p216 (forall @t205 (=> @t204 (=> @t200 (=> @t198 @t573))))) 121.43/121.74 (assume @p217 (forall (@list @t336 @t335) (= (_ tptp.paraco327635598_valid @t490) (and (_ tptp.paraco327635598_valid @t335) @t547)))) 121.43/121.74 (assume @p218 (= tptp.top_to1299250770e_tv_o (lambda @t263 tptp.top_top_o))) 121.43/121.74 (assume @p219 (forall (@list @t574 @t225) (=> @t575 (=> @t227 (_ (_ tptp.inj_on2112487900lle_tv (_ (_ tptp.produc1345917071lle_tv @t574) @t225)) tptp.top_to1871154984lle_tv))))) 121.43/121.74 (assume @p220 (forall (@list @t81 @t377 @t82) (=> @t535 (=> @t576 @t89)))) 121.43/121.74 (assume @p221 (forall (@list @t281 @t68 @t374) (=> (= @t549 @t374) (= @t68 @t374)))) 121.43/121.74 (assume @p222 (forall (@list @t141 @t140) (not (= tptp.paraco367965286_Truth @t142)))) 121.43/121.74 (assume @p223 (forall @t580 (=> @t579 @t578))) 121.43/121.74 (assume @p224 (forall (@list @t197) (=> (forall @t581 @t424) (= tptp.top_to1555900337at_nat @t197)))) 121.43/121.74 (assume @p225 (forall (@list @t582 @t583) (= (_ (_ tptp.member112824072at_nat @t582) (_ tptp.collec791369802at_nat @t583)) (_ @t583 @t582)))) 121.43/121.74 (assume @p226 (forall @t90 (=> @t89 (=> @t221 (=> @t86 (=> @t219 (not @t317))))))) 121.43/121.74 (assume @p227 (forall (@list @t76 @t584) (=> @t255 (=> @t585 (_ @t59 (_ (_ tptp.inv_im516950809tv_nat @t584) @t76)))))) 121.43/121.74 (assume @p228 (forall (@list @t182 @t584) (=> @t249 (=> @t585 (_ @t172 (_ (_ tptp.inv_im719552961lle_tv @t584) @t182)))))) 121.43/121.74 (assume @p229 (forall @t216 (=> @t215 (=> @t212 (=> @t211 @t586))))) 121.43/121.74 (assume @p230 (forall (@list @t587) (= @t587 (_ (_ tptp.produc1710735575lle_fm (_ tptp.produc29804011lle_fm @t587)) (_ tptp.produc148705065lle_fm @t587))))) 121.43/121.74 (assume @p231 (forall @t594 (=> @t593 (not (=> @t591 (not @t589)))))) 121.43/121.74 (assume @p232 (forall (@list @t428 @t366) (=> @t560 (_ @t428 @t366)))) 121.43/121.74 (assume @p233 (forall (@list @t595 @t21 @t22) (=> (_ (_ @t595 @t21) @t22) (_ (_ @t595 @t370) @t486)))) 121.43/121.74 (assume @p234 (forall (@list @t487 @t323 @t322 @t321) (=> (_ @t488 @t325) (not (forall @t19 (=> (= @t487 (_ (_ tptp.produc1680557635lle_tv (_ @t323 @t16)) (_ @t322 @t15))) @t515)))))) 121.43/121.74 (assume @p235 (= tptp.top_top_nat_o (lambda @t138 (_ @t566 tptp.top_top_set_nat)))) 121.43/121.74 (assume @p236 (forall (@list @t584 @t171) (=> @t585 (=> @t173 (_ (_ tptp.total_92239038lle_tv tptp.top_to1871154984lle_tv) (_ (_ tptp.lex_pr567812260lle_tv @t584) @t171)))))) 121.43/121.74 (assume @p237 (forall @t525 (=> @t403 (=> @t175 (= (_ (_ tptp.image_815163717at_nat (_ @t385 @t174)) tptp.top_to1555900337at_nat) tptp.top_to1555900337at_nat))))) 121.43/121.74 (assume @p238 (forall @t596 (=> @t249 @t586))) 121.43/121.74 (assume @p239 (forall (@list @t597) (not (forall @t532 (not (= @t597 @t531)))))) 121.43/121.74 (assume @p240 (forall @t600 (=> @t599 (= (_ tptp.produc148705065lle_fm @t91) @t598)))) 121.43/121.74 (assume @p241 (forall @t596 (=> @t249 (=> @t208 @t213)))) 121.43/121.74 (assume @p242 (forall (@list @t81 @t82 @t79 @t377) (=> @t89 (=> (_ @t85 @t114) (=> @t576 (_ (_ tptp.member_nat (_ @t83 @t79)) @t377)))))) 121.43/121.74 (assume @p243 (exists @t581 (_ @t423 tptp.top_to1555900337at_nat))) 121.43/121.74 (assume @p244 (forall (@list @t21) (=> (forall (@list @t608) (not (= @t21 (_ tptp.paraco1480028776le_Pro @t608)))) (=> (not (= @t21 tptp.paraco367965286_Truth)) (=> (forall (@list @t607) (not (= @t21 (_ tptp.paraco445776468le_Neg @t607)))) (=> (forall (@list @t606 @t605) (not (= @t21 (_ (_ tptp.paraco69239110le_Con @t606) @t605)))) (=> (forall (@list @t604 @t603) (not (= @t21 (_ (_ tptp.paraco1389086619le_Eql @t604) @t603)))) (not (forall (@list @t602 @t601) (not (= @t21 (_ (_ tptp.paraco1745535428le_Eql @t602) @t601)))))))))))) 121.43/121.74 (assume @p245 (forall @t580 (=> @t578 @t579))) 121.43/121.74 (assume @p246 (forall (@list @t609) (or (= @t609 true) (= @t609 false)))) 121.43/121.74 (assume @p247 (forall (@list @t131 @t456) (=> @t533 (_ @t131 @t456)))) 121.43/121.74 (assume @p248 (forall (@list @t280 @t611 @t570 @t610) (=> (_ @t280 @t611) (=> (_ @t570 @t610) (and (_ @t280 (_ tptp.produc1636169559lle_tv @t612)) (_ @t570 (_ tptp.produc547496597lle_tv @t612))))))) 121.43/121.74 (assume @p249 (exists @t315 (_ @t314 tptp.top_to138697918lle_tv))) 121.43/121.74 (assume @p250 (forall (@list @t233 @t53 @t52) (not (= @t234 @t54)))) 121.43/121.74 (assume @p251 (forall (@list @t68 @t281 @t47) (= (_ (_ tptp.member1234290208at_nat @t551) (_ (_ tptp.image_1724396928at_nat tptp.produc225513635lle_tv) @t47)) (_ (_ tptp.member1569366824lle_tv @t283) @t47)))) 121.43/121.74 (assume @p252 (forall (@list @t383 @t613) (=> (_ @t383 @t285) (=> (_ @t383 @t338) (=> (forall @t438 (_ @t383 @t395)) (_ @t383 @t613)))))) 121.43/121.74 (assume @p253 (forall (@list @t615 @t258 @t257 @t614) (= (_ @t615 @t616) (_ (_ (_ tptp.produc234482697lle_tv (_ @t615 @t258)) (_ @t615 @t257)) @t614)))) 121.43/121.74 (assume @p254 (forall (@list @t226 @t617) (=> @t228 (=> @t618 (_ (_ tptp.inj_on26176689at_nat (_ (_ tptp.produc505105722at_nat @t226) @t617)) tptp.top_to1555900337at_nat))))) 121.43/121.74 (assume @p255 (forall @t619 (=> @t553 (=> @t202 @t196)))) 121.43/121.74 (assume @p256 @t621) 121.43/121.74 (assume @p257 (forall (@list @t81 @t79) (=> @t116 (= (_ (_ (_ tptp.the_inv_into_nat_nat tptp.top_top_set_nat) @t81) @t87) @t79)))) 121.43/121.74 (assume @p258 (exists @t520 (_ @t519 tptp.top_to1541413903at_nat))) 121.43/121.74 (assume @p259 (forall @t622 (= @t341 (_ (_ (_ tptp.paraco2051596139lle_tv (_ (_ tptp.produc234482697lle_tv @t338) @t285)) tptp.paraco793048302_Indet) @t339)))) 121.43/121.74 (assume @p260 (forall (@list @t209 @t182 @t322) (=> (forall (@list @t623) (=> (_ (_ tptp.member266900804lle_tv @t623) @t209) (= (_ @t182 @t623) (_ @t322 @t623)))) (= @t215 @t523)))) 121.43/121.74 (assume @p261 (forall @t224 (=> @t223 (=> @t217 @t316)))) 121.43/121.74 (assume @p262 (forall (@list @t233 @t55) (not (= @t234 @t56)))) 121.43/121.74 (assume @p263 (forall (@list @t431) (exists @t19 (= @t431 @t17)))) 121.43/121.74 (assume @p264 (forall (@list @t625 @t627 @t321 @t624) (=> (_ (_ tptp.member1569366824lle_tv (_ @t626 @t627)) @t321) (=> (= @t624 @t627) (_ (_ tptp.member1569366824lle_tv (_ @t626 @t624)) @t321))))) 121.43/121.74 (assume @p265 (forall @t628 (=> (forall @t275 @t271) @t255))) 121.43/121.74 (assume @p266 (forall (@list @t322 @t182) (=> (forall @t97 @t511) @t556))) 121.43/121.74 (assume @p267 (forall @t628 (= @t255 (forall @t631 (=> (= @t630 (_ @t76 @t135)) @t629))))) 121.43/121.74 (assume @p268 (forall (@list @t106 @t105 @t590 @t588 @t633 @t632) (= (_ (_ tptp.member1592865093lle_fm (_ (_ tptp.produc407632608lle_fm @t109) @t592)) (_ (_ tptp.lex_pr2001015487lle_fm @t633) @t632)) (or (_ (_ tptp.member146333935lle_tv (_ (_ tptp.produc1297923922lle_tv @t106) @t590)) @t633) (and (_ (_ tptp.member334644067lle_fm (_ (_ tptp.produc1126104134lle_fm @t105) @t588)) @t632) @t591))))) 121.43/121.74 (assume @p269 (forall (@list @t22 @t21) (= (_ tptp.produc1000205111lle_fm @t24) @t25))) 121.43/121.74 (assume @p270 (forall @t628 (= @t78 (forall @t308 (exists @t138 (= @t244 @t630)))))) 121.43/121.74 (assume @p271 (forall (@list @t120) (=> (forall @t555 @t128) (= tptp.top_to1411004326lle_tv @t120)))) 121.43/121.74 (assume @p272 (forall @t619 (=> @t553 @t573))) 121.43/121.74 (assume @p273 (forall (@list @t40 @t39 @t413 @t415 @t634 @t171) (= (_ (_ tptp.member1339857875lle_tv (_ (_ tptp.produc2057188974lle_tv @t44) @t417)) (_ (_ tptp.lex_pr1093414955lle_tv @t634) @t171)) (or (and (_ (_ tptp.member1531318361lle_tv (_ (_ tptp.produc2058540732lle_tv @t39) @t415)) @t171) @t414) (_ (_ tptp.member112824072at_nat (_ (_ tptp.produc780837143at_nat @t40) @t413)) @t634))))) 121.43/121.74 (assume @p274 (= @t157 (_ @t372 @t620))) 121.43/121.74 (assume @p275 (forall @t312 (=> @t123 (=> @t304 (=> @t311 (=> @t309 @t303)))))) 121.43/121.74 (assume @p276 (forall (@list @t55 @t299 @t297) (not (= @t56 @t300)))) 121.43/121.74 (assume @p277 (forall (@list @t40 @t39 @t321 @t447 @t446) (=> @t327 (_ (_ tptp.member1474794996lle_fm @t448) @t516)))) 121.43/121.74 (assume @p278 (forall @t637 (=> @t239 (=> (not @t150) (=> @t636 (=> @t635 (not @t152))))))) 121.43/121.74 (assume @p279 (forall (@list @t182 @t639 @t209 @t264) (=> (_ @t214 @t639) (=> (_ @t265 @t639) (=> (_ @t478 @t639) @t638))))) 121.43/121.74 (assume @p280 (forall @t90 (=> @t89 (=> @t86 (=> @t219 @t526))))) 121.43/121.74 (assume @p281 (forall (@list @t79) (_ @t85 tptp.top_top_set_nat))) 121.43/121.74 (assume @p282 (forall (@list @t81 @t377 @t111 @t82) (=> @t535 (=> (_ @t112 @t377) (=> @t576 @t115))))) 121.43/121.74 (assume @p283 (forall @t312 (=> @t123 (=> (not @t303) (=> @t311 (=> @t309 (not @t304))))))) 121.43/121.74 (assume @p284 (forall @t565 (=> (forall @t97 @t512) (= tptp.top_to1057771083lle_tv @t209)))) 121.43/121.74 (assume @p285 (forall @t464 (= (_ tptp.produc148705065lle_fm @t463) @t462))) 121.43/121.74 (assume @p286 (forall (@list @t81 @t322) (=> @t403 (=> @t556 (= (_ (_ tptp.image_149830562lle_tv (_ (_ tptp.produc2101297531lle_tv @t81) @t322)) tptp.top_to1411004326lle_tv) tptp.top_to1411004326lle_tv))))) 121.43/121.74 (assume @p287 (forall @t554 (= @t553 (forall (@list @t641 @t640) (=> (= (_ @t201 @t641) (_ @t201 @t640)) @t642))))) 121.43/121.74 (assume @p288 (forall (@list @t644 @t643) (= (= @t645 (_ tptp.paraco1344940915le_Det @t643)) (= @t644 @t643)))) 121.43/121.74 (assume @p289 (forall (@list @t33 @t22 @t21) (= (_ (_ tptp.produc1942165868lle_fm @t33) @t24) (_ (_ tptp.produc1710735575lle_fm (_ @t33 @t22)) @t21)))) 121.43/121.74 (assume @p290 (forall (@list @t182 @t374 @t209) (=> @t249 @t376))) 121.43/121.74 (assume @p291 (forall @t637 (=> @t239 (=> @t636 (=> @t635 @t289))))) 121.43/121.74 (assume @p292 (forall @t650 (= @t649 (and (=> @t648 @t647) (=> @t614 @t646))))) 121.43/121.74 (assume @p293 (forall (@list @t182 @t65) (=> @t249 (= (_ (_ (_ tptp.the_in452116896lle_tv tptp.top_to1057771083lle_tv) @t182) @t207) @t65)))) 121.43/121.74 (assume @p294 (forall (@list @t233 @t299 @t297) (not (= @t234 @t300)))) 121.43/121.74 (assume @p295 (forall @t567 (=> (forall @t180 @t274) (= tptp.top_top_set_nat @t82)))) 121.43/121.74 (assume @p296 (forall (@list @t73 @t71 @t644) (= (_ @t74 @t645) (_ @t73 @t644)))) 121.43/121.74 (assume @p297 (forall (@list @t544 @t336) (=> (not @t546) (not @t547)))) 121.43/121.74 (assume @p298 (forall (@list @t644 @t70) (not (= @t645 @t72)))) 121.43/121.74 (assume @p299 (forall (@list @t182 @t209 @t65 @t264) (=> @t215 (=> (_ @t66 @t318) (=> @t266 (_ (_ tptp.member266900804lle_tv (_ @t319 @t65)) @t264)))))) 121.43/121.74 (assume @p300 (forall (@list @t393 @t281 @t68 @t427) (=> (_ (_ @t393 @t281) @t68) (=> (= @t427 @t283) (_ (_ @t393 (_ tptp.produc1636169559lle_tv @t427)) (_ tptp.produc547496597lle_tv @t427)))))) 121.43/121.74 (assume @p301 (forall @t170 (=> @t169 (=> @t165 (=> @t163 @t651))))) 121.43/121.74 (assume @p302 (forall @t652 (=> (forall @t243 @t242) @t154))) 121.43/121.74 (assume @p303 (forall (@list @t233 @t653) (= (= @t234 (_ tptp.paraco1480028776le_Pro @t653)) (= @t233 @t653)))) 121.43/121.74 (assume @p304 (forall (@list @t584 @t182) (=> (_ tptp.wf_Par1378404612lle_tv @t584) (=> @t249 (_ tptp.wf_Par1378404612lle_tv (_ (_ tptp.image_1221801032lle_tv (_ (_ tptp.produc1345917071lle_tv @t182) @t182)) @t584)))))) 121.43/121.74 (assume @p305 (forall @t250 (=> (forall @t655 @t654) @t249))) 121.43/121.74 (assume @p306 (forall @t355 (= @t306 (forall (@list @t657 @t656) (=> (= (_ @t121 @t657) (_ @t121 @t656)) @t658))))) 121.43/121.74 (assume @p307 (forall (@list @t182 @t209 @t65) (=> @t215 (=> @t212 (= (_ @t319 @t207) @t65))))) 121.43/121.74 (assume @p308 (forall @t652 (= @t154 (forall (@list @t660 @t659) (=> (= (_ @t151 @t660) (_ @t151 @t659)) @t661))))) 121.43/121.74 (assume @p309 (forall @t250 (= @t187 (forall @t308 (exists @t263 (= @t244 @t248)))))) 121.43/121.74 (assume @p310 (forall (@list @t94 @t75) (=> @t98 (=> @t77 (= (_ (_ tptp.image_1200372424lle_tv (_ (_ tptp.produc72207551lle_tv @t94) @t75)) tptp.top_to975729152tv_nat) tptp.top_to1411004326lle_tv))))) 121.43/121.74 (assume @p311 (forall (@list @t474 @t662 @t664 @t335) (=> (_ @t474 @t662) (=> (_ @t664 @t335) (and (_ @t664 (_ tptp.produc148705065lle_fm @t663)) (_ @t474 (_ tptp.produc29804011lle_fm @t663))))))) 121.43/121.74 (assume @p312 (forall @t594 (= @t593 (and @t591 @t589)))) 121.43/121.74 (assume @p313 (forall (@list @t105 @t373) (= (= @t105 (_ tptp.produc148705065lle_fm @t373)) (exists (@list @t665) (= @t373 (_ (_ tptp.produc1710735575lle_fm @t665) @t105)))))) 121.43/121.74 (assume @p314 (forall (@list @t584 @t57) (=> @t585 (=> @t60 (_ (_ tptp.total_440843542tv_nat tptp.top_to975729152tv_nat) (_ (_ tptp.lex_pr1785529980tv_nat @t584) @t57)))))) 121.43/121.74 (assume @p315 (forall @t650 (= @t649 (not (or (and @t648 (not @t647)) (and @t614 (not @t646))))))) 121.43/121.74 (assume @p316 (forall (@list @t182 @t281 @t68) (= (_ (_ tptp.produc109093078at_nat @t182) @t283) (_ @t282 @t206)))) 121.43/121.74 (assume @p317 (forall @t622 (and (=> @t340 (= @t341 @t285)) (=> @t344 (and (=> @t348 (= @t341 @t339)) (=> @t347 (= @t341 @t338))))))) 121.43/121.74 (assume @p318 (forall @t666 (=> @t293 (=> @t167 @t161)))) 121.43/121.74 (assume @p319 (= @t620 @t285)) 121.43/121.74 (assume @p320 (forall (@list @t209 @t182) (=> (forall @t655 (=> @t512 (=> (_ (_ tptp.member266900804lle_tv @t15) @t209) @t654))) @t215))) 121.43/121.74 (assume @p321 (not (= @t158 @t285))) 121.43/121.74 (assume @p322 (forall @t351 (and (=> @t349 (= @t426 @t285)) (=> @t350 (= @t426 @t338))))) 121.43/121.74 (assume @p323 (forall @t600 (=> @t599 (= (_ tptp.produc29804011lle_fm @t91) @t387)))) 121.43/121.74 (assume @p324 (forall (@list @t544 @t336 @t335) (= (_ @t545 @t490) (and (_ @t545 @t335) @t546)))) 121.43/121.74 (assume @p325 (forall @t262 (=> (forall @t332 (_ @t331 @t20)) (= tptp.top_to775056195lle_fm @t20)))) 121.43/121.74 (assume @p326 (forall @t637 (=> @t239 (=> @t152 (=> @t636 (=> @t635 @t150)))))) 121.43/121.74 (assume @p327 (forall @t485 (= @t116 (forall @t631 (=> (= @t133 @t136) @t629))))) 121.43/121.74 (assume @p328 (forall @t479 (=> @t249 @t638))) 121.43/121.74 (assume @p329 (forall (@list @t574 @t617) (=> @t575 (=> @t618 (_ (_ tptp.inj_on552895452tv_nat (_ (_ tptp.produc42536895at_nat @t574) @t617)) tptp.top_to975729152tv_nat))))) 121.43/121.74 (assume @p330 (forall (@list @t233 @t141 @t140) (not (= @t234 @t142)))) 121.43/121.74 (assume @p331 (forall @t69 (= (_ (_ (_ tptp.if_Par1134130401lle_tv true) @t65) @t68) @t65))) 121.43/121.74 (assume @p332 (forall (@list @t387 @t4 @t667) (= (_ (_ tptp.member1474794996lle_fm @t389) (_ (_ tptp.image_326034184lle_fm tptp.produc1232814113lle_tv) @t667)) (_ (_ tptp.member74361182lle_tv @t390) @t667)))) 121.43/121.74 (assume @p333 (forall @t666 (=> @t293 @t651))) 121.43/121.74 (assume @p334 true) 121.43/121.74 (step @p335 (= tptp.produc1232814113lle_tv @t669) :rule refl :args (@t669)) 121.43/121.74 (step @p336 (= tptp.top_to1299250770e_tv_o @t670) :rule refl :args (@t670)) 121.43/121.74 (step @p337 (= tptp.paraco761681009ge_int @t673) :rule refl :args (@t673)) 121.43/121.74 (step @p338 (= tptp.inj_on552895452tv_nat @t676) :rule refl :args (@t676)) 121.43/121.74 (step @p339 (= tptp.inj_on2112487900lle_tv @t679) :rule refl :args (@t679)) 121.43/121.74 (step @p340 (= tptp.top_top_nat_o @t680) :rule refl :args (@t680)) 121.43/121.74 (step @p341 (= tptp.inj_on772319074lle_tv @t683) :rule refl :args (@t683)) 121.43/121.74 (step @p342 (= tptp.inj_on1955349912lle_tv @t688) :rule refl :args (@t688)) 121.43/121.74 (step @p343 (= tptp.inj_on_nat_nat @t689) :rule refl :args (@t689)) 121.43/121.74 (step @p344 (= tptp.produc178635363at_nat @t691) :rule refl :args (@t691)) 121.43/121.74 (step @p345 (= tptp.inj_on1745913142lle_tv @t694) :rule refl :args (@t694)) 121.43/121.74 (step @p346 (= tptp.produc234482697lle_tv @t698) :rule refl :args (@t698)) 121.43/121.74 (step @p347 (= tptp.paraco327635598_valid @t699) :rule refl :args (@t699)) 121.43/121.74 (step @p348 (= tptp.inj_on26176689at_nat @t702) :rule refl :args (@t702)) 121.43/121.74 (step @p349 :rule eq-symm :args (@t709 @t714)) 121.43/121.74 (step @p350 :rule refl :args (@t720)) 121.43/121.74 (step @p351 :rule nary_cong :premises (@p350 @p349) :args (@t721)) 121.43/121.74 (step @p352 :rule refl :args (@t723)) 121.43/121.74 (step @p353 :rule nary_cong :premises (@p352 @p351) :args (@t724)) 121.43/121.74 (step @p354 :rule refl :args (@t725)) 121.43/121.74 (step @p355 :rule nary_cong :premises (@p354 @p353) :args (@t726)) 121.43/121.74 (step @p356 :rule eq-symm :args (@t715 @t714)) 121.43/121.74 (step @p357 :rule refl :args (@t727)) 121.43/121.74 (step @p358 :rule nary_cong :premises (@p357 @p356) :args (@t728)) 121.43/121.74 (step @p359 :rule nary_cong :premises (@p358 @p355) :args (@t729)) 121.43/121.74 (step @p360 :rule refl :args (@t730)) 121.43/121.74 (step @p361 :rule nary_cong :premises (@p360 @p359) :args (@t731)) 121.43/121.74 (step @p362 :rule cong :premises (@p361) :args (@t733)) 121.43/121.74 (step @p363 :rule eq-symm :args (@t737 @t739)) 121.43/121.74 (step @p364 :rule refl :args (@t740)) 121.43/121.74 (step @p365 :rule nary_cong :premises (@p364 @p363) :args (@t741)) 121.43/121.74 (step @p366 :rule cong :premises (@p365) :args (@t742)) 121.43/121.74 (step @p367 :rule nary_cong :premises (@p366 @p362) :args (@t743)) 121.43/121.74 ; WARNING: add trust step for TRUST 121.43/121.74 ; trust TRUST PREPROCESS_HO_ELIM 121.43/121.74 (step @p368 :rule trust :premises () :args ((= (and (forall @t759 (or (not (= @t757 @t758)) (= @t757 @t756))) (forall @t753 (or (= @t747 @t748) (and (or (not @t752) (= @t748 @t746)) (or @t752 (and (or @t750 (= @t751 @t746)) (or (not @t750) (= @t747 @t746)))))))) @t743))) 121.43/121.74 (step @p369 :rule refl :args ((tptp.paraco1325918602e_eval @t745 @t760))) 121.43/121.74 (step @p370 :rule refl :args (@t744)) 121.43/121.74 (step @p371 :rule refl :args (@t745)) 121.43/121.74 (step @p372 :rule cong :premises (@p371 @p370) :args (@t746)) 121.43/121.74 (step @p373 :rule trans :premises (@p372 @p369)) 121.43/121.74 (step @p374 :rule refl :args (@t761)) 121.43/121.74 (step @p375 :rule ho_cong :premises (@p374 @p370)) 121.43/121.74 (step @p376 :rule cong :premises (@p375 @p373) :args ((= (_ @t761 @t744) @t746))) 121.43/121.74 (step @p377 :rule symm :premises (@p376)) 121.43/121.74 (step @p378 :rule refl :args (@t762)) 121.43/121.74 (step @p379 :rule eq_resolve :premises (@p378 @p377)) 121.43/121.74 (step @p380 :rule refl :args (@t760)) 121.43/121.74 (step @p381 :rule cong :premises (@p380 @p370) :args ((= @t760 @t744))) 121.43/121.74 (step @p382 :rule symm :premises (@p381)) 121.43/121.74 (step @p383 :rule eq_resolve :premises (@p380 @p382)) 121.43/121.74 (step @p384 :rule ho_cong :premises (@p374 @p383)) 121.43/121.74 (step @p385 :rule trans :premises (@p384 @p379)) 121.43/121.74 (step @p386 :rule refl :args (@t747)) 121.43/121.74 (step @p387 :rule refl :args (@t763)) 121.43/121.74 (step @p388 :rule cong :premises (@p387 @p386) :args ((= @t763 @t747))) 121.43/121.74 (step @p389 :rule symm :premises (@p388)) 121.43/121.74 (step @p390 :rule eq_resolve :premises (@p387 @p389)) 121.43/121.74 (step @p391 :rule cong :premises (@p390 @p385) :args (@t764)) 121.43/121.74 (step @p392 :rule refl :args (@t748)) 121.43/121.74 (step @p393 :rule refl :args (@t765)) 121.43/121.74 (step @p394 :rule cong :premises (@p393 @p392) :args ((= @t765 @t748))) 121.43/121.74 (step @p395 :rule symm :premises (@p394)) 121.43/121.74 (step @p396 :rule eq_resolve :premises (@p393 @p395)) 121.43/121.74 (step @p397 :rule refl :args (@t749)) 121.43/121.74 (step @p398 :rule refl :args (@t285)) 121.43/121.74 (step @p399 :rule cong :premises (@p398 @p397) :args ((= @t285 @t749))) 121.43/121.74 (step @p400 :rule symm :premises (@p399)) 121.43/121.74 (step @p401 :rule eq_resolve :premises (@p398 @p400)) 121.43/121.74 (step @p402 :rule cong :premises (@p401 @p396) :args (@t766)) 121.43/121.74 (step @p403 :rule cong :premises (@p402) :args (@t767)) 121.43/121.74 (step @p404 :rule nary_cong :premises (@p403 @p391) :args (@t768)) 121.43/121.74 (step @p405 :rule refl :args (@t751)) 121.43/121.74 (step @p406 :rule refl :args (@t338)) 121.43/121.74 (step @p407 :rule cong :premises (@p406 @p405) :args ((= @t338 @t751))) 121.43/121.74 (step @p408 :rule symm :premises (@p407)) 121.43/121.74 (step @p409 :rule eq_resolve :premises (@p406 @p408)) 121.43/121.74 (step @p410 :rule cong :premises (@p409 @p385) :args (@t769)) 121.43/121.74 (step @p411 :rule nary_cong :premises (@p402 @p410) :args (@t770)) 121.43/121.74 (step @p412 :rule nary_cong :premises (@p411 @p404) :args (@t771)) 121.43/121.74 (step @p413 :rule cong :premises (@p401 @p390) :args (@t772)) 121.43/121.74 (step @p414 :rule nary_cong :premises (@p413 @p412) :args (@t773)) 121.43/121.74 (step @p415 :rule cong :premises (@p396 @p385) :args (@t774)) 121.43/121.74 (step @p416 :rule cong :premises (@p413) :args (@t775)) 121.43/121.74 (step @p417 :rule nary_cong :premises (@p416 @p415) :args (@t776)) 121.43/121.74 (step @p418 :rule nary_cong :premises (@p417 @p414) :args (@t777)) 121.43/121.74 (step @p419 :rule cong :premises (@p390 @p396) :args (@t778)) 121.43/121.74 (step @p420 :rule nary_cong :premises (@p419 @p418) :args (@t779)) 121.43/121.74 (step @p421 :rule cong :premises (@p420) :args (@t780)) 121.43/121.74 (step @p422 :rule refl :args ((tptp.paraco1325918602e_eval @t755 @t781))) 121.43/121.74 (step @p423 :rule refl :args (@t754)) 121.43/121.74 (step @p424 :rule refl :args (@t755)) 121.43/121.74 (step @p425 :rule cong :premises (@p424 @p423) :args (@t756)) 121.43/121.74 (step @p426 :rule trans :premises (@p425 @p422)) 121.43/121.74 (step @p427 :rule refl :args (@t782)) 121.43/121.74 (step @p428 :rule ho_cong :premises (@p427 @p423)) 121.43/121.74 (step @p429 :rule cong :premises (@p428 @p426) :args ((= (_ @t782 @t754) @t756))) 121.43/121.74 (step @p430 :rule symm :premises (@p429)) 121.43/121.74 (step @p431 :rule refl :args (@t783)) 121.43/121.74 (step @p432 :rule eq_resolve :premises (@p431 @p430)) 121.43/121.74 (step @p433 :rule refl :args (@t781)) 121.43/121.74 (step @p434 :rule cong :premises (@p433 @p423) :args ((= @t781 @t754))) 121.43/121.74 (step @p435 :rule symm :premises (@p434)) 121.43/121.74 (step @p436 :rule eq_resolve :premises (@p433 @p435)) 121.43/121.74 (step @p437 :rule ho_cong :premises (@p427 @p436)) 121.43/121.74 (step @p438 :rule trans :premises (@p437 @p432)) 121.43/121.74 (step @p439 :rule refl :args (@t757)) 121.43/121.74 (step @p440 :rule refl :args (@t784)) 121.43/121.74 (step @p441 :rule cong :premises (@p440 @p439) :args ((= @t784 @t757))) 121.43/121.74 (step @p442 :rule symm :premises (@p441)) 121.43/121.74 (step @p443 :rule eq_resolve :premises (@p440 @p442)) 121.43/121.74 (step @p444 :rule cong :premises (@p443 @p438) :args (@t785)) 121.43/121.74 (step @p445 :rule refl :args (@t758)) 121.43/121.74 (step @p446 :rule refl :args (@t786)) 121.43/121.74 (step @p447 :rule cong :premises (@p446 @p445) :args ((= @t786 @t758))) 121.43/121.74 (step @p448 :rule symm :premises (@p447)) 121.43/121.74 (step @p449 :rule eq_resolve :premises (@p446 @p448)) 121.43/121.74 (step @p450 :rule cong :premises (@p443 @p449) :args (@t787)) 121.43/121.74 (step @p451 :rule cong :premises (@p450) :args (@t788)) 121.43/121.74 (step @p452 :rule nary_cong :premises (@p451 @p444) :args (@t789)) 121.43/121.74 (step @p453 :rule cong :premises (@p452) :args (@t790)) 121.43/121.74 (step @p454 :rule nary_cong :premises (@p453 @p421) :args ((and @t790 @t780))) 121.43/121.74 (step @p455 :rule alpha_equiv :args (@t799 @t800 (@list @t745 @t703 @t710))) 121.43/121.74 (step @p456 :rule alpha_equiv :args (@t802 @t800 (@list @t755 @t734 @t738))) 121.43/121.74 (step @p457 :rule nary_cong :premises (@p456 @p455) :args (@t803)) 121.43/121.74 (step @p458 :rule quant-miniscope-and :args ((= (forall @t351 (and @t801 @t798)) @t803))) 121.43/121.74 (step @p459 :rule trans :premises (@p458 @p457)) 121.43/121.74 (step @p460 :rule trans :premises (@p459 @p454)) 121.43/121.74 (step @p461 :rule bool-impl-elim :args (@t792 @t791)) 121.43/121.74 (step @p462 :rule refl :args (@t794)) 121.43/121.74 (step @p463 :rule bool-double-not-elim :args (@t792)) 121.43/121.74 (step @p464 :rule nary_cong :premises (@p463 @p462) :args ((or (not @t793) @t794))) 121.43/121.74 (step @p465 :rule bool-impl-elim :args (@t793 @t794)) 121.43/121.74 (step @p466 :rule trans :premises (@p465 @p464)) 121.43/121.74 (step @p467 :rule nary_cong :premises (@p466 @p461) :args (@t804)) 121.43/121.74 (step @p468 :rule refl :args (@t795)) 121.43/121.74 (step @p469 :rule nary_cong :premises (@p468 @p467) :args ((or @t795 @t804))) 121.43/121.74 (step @p470 :rule refl :args (@t804)) 121.43/121.74 (step @p471 :rule bool-double-not-elim :args (@t795)) 121.43/121.74 (step @p472 :rule nary_cong :premises (@p471 @p470) :args ((or (not @t797) @t804))) 121.43/121.74 (step @p473 :rule bool-impl-elim :args (@t797 @t804)) 121.43/121.74 (step @p474 :rule trans :premises (@p473 @p472)) 121.43/121.74 (step @p475 :rule trans :premises (@p474 @p469)) 121.43/121.74 (step @p476 :rule bool-impl-elim :args (@t795 @t796)) 121.43/121.74 (step @p477 :rule nary_cong :premises (@p476 @p475) :args (@t805)) 121.43/121.74 (step @p478 :rule refl :args (@t349)) 121.43/121.74 (step @p479 :rule nary_cong :premises (@p478 @p477) :args ((or @t349 @t805))) 121.43/121.74 (step @p480 :rule refl :args (@t805)) 121.43/121.74 (step @p481 :rule bool-double-not-elim :args (@t349)) 121.43/121.74 (step @p482 :rule nary_cong :premises (@p481 @p480) :args ((or (not @t350) @t805))) 121.43/121.74 (step @p483 :rule bool-impl-elim :args (@t350 @t805)) 121.43/121.74 (step @p484 :rule trans :premises (@p483 @p482)) 121.43/121.74 (step @p485 :rule trans :premises (@p484 @p479)) 121.43/121.74 (step @p486 :rule bool-impl-elim :args (@t349 @t791)) 121.43/121.74 (step @p487 :rule nary_cong :premises (@p486 @p485) :args (@t806)) 121.43/121.74 (step @p488 :rule cong :premises (@p487) :args ((forall @t351 @t806))) 121.43/121.74 (step @p489 :rule trans :premises (@p488 @p460)) 121.43/121.74 (step @p490 :rule eq-symm :args (@t491 @t339)) 121.43/121.74 (step @p491 :rule eq-symm :args (@t342 @t285)) 121.43/121.74 (step @p492 :rule cong :premises (@p491 @p490) :args (@t493)) 121.43/121.74 (step @p493 :rule eq-symm :args (@t491 @t338)) 121.43/121.74 (step @p494 :rule cong :premises (@p491) :args (@t346)) 121.43/121.74 (step @p495 :rule cong :premises (@p494 @p493) :args (@t494)) 121.43/121.74 (step @p496 :rule nary_cong :premises (@p495 @p492) :args (@t495)) 121.43/121.74 (step @p497 :rule eq-symm :args (@t339 @t285)) 121.43/121.74 (step @p498 :rule cong :premises (@p497) :args (@t348)) 121.43/121.74 (step @p499 :rule cong :premises (@p498 @p496) :args (@t496)) 121.43/121.74 (step @p500 :rule eq-symm :args (@t491 @t342)) 121.43/121.74 (step @p501 :rule cong :premises (@p497 @p500) :args (@t497)) 121.43/121.74 (step @p502 :rule nary_cong :premises (@p501 @p499) :args (@t498)) 121.43/121.74 (step @p503 :rule refl :args (@t350)) 121.43/121.74 (step @p504 :rule cong :premises (@p503 @p502) :args (@t499)) 121.43/121.74 (step @p505 :rule refl :args (@t349)) 121.43/121.74 (step @p506 :rule cong :premises (@p505 @p490) :args (@t500)) 121.43/121.74 (step @p507 :rule nary_cong :premises (@p506 @p504) :args (@t501)) 121.43/121.74 (step @p508 :rule cong :premises (@p507) :args (@t502)) 121.43/121.74 (step @p509 :rule trans :premises (@p508 @p489)) 121.43/121.74 (step @p510 :rule trans :premises (@p509 @p368 @p367)) 121.43/121.74 (step @p511 :rule eq_resolve :premises (@p146 @p510)) 121.43/121.74 (step @p512 :rule and_elim :premises (@p511) :args (1)) 121.43/121.74 (step @p513 :rule refl :args (@t811)) 121.43/121.74 (step @p514 :rule eq-symm :args (@t813 @t814)) 121.43/121.74 (step @p515 :rule refl :args (@t814)) 121.43/121.74 (step @p516 :rule skolem_intro :args (@t812)) 121.43/121.74 (step @p517 :rule symm :premises (@p516)) 121.43/121.74 (step @p518 :rule refl :args (@t716)) 121.43/121.74 (step @p519 :rule cong :premises (@p518 @p517) :args (@t718)) 121.43/121.74 (step @p520 :rule cong :premises (@p519 @p515) :args (@t815)) 121.43/121.74 (step @p521 :rule trans :premises (@p520 @p514)) 121.43/121.74 (step @p522 :rule cong :premises (@p521) :args (@t816)) 121.43/121.74 (step @p523 :rule nary_cong :premises (@p522 @p513) :args (@t817)) 121.43/121.74 (step @p524 :rule eq-symm :args (@t819 @t809)) 121.43/121.74 (step @p525 :rule refl :args (@t809)) 121.43/121.74 (step @p526 :rule evaluate :args ((not false))) 121.43/121.74 (step @p527 :rule skolem_intro :args (@t818)) 121.43/121.74 (step @p528 :rule cong :premises (@p527) :args ((not @t818))) 121.43/121.74 (step @p529 :rule bool-eq-false :args (@t818)) 121.43/121.74 (step @p530 :rule eq-symm :args (false @t818)) 121.43/121.74 (step @p531 :rule trans :premises (@p530 @p529)) 121.43/121.74 (step @p532 :rule trans :premises (@p531 @p528 @p526)) 121.43/121.74 (step @p533 :rule true_elim :premises (@p532)) 121.43/121.74 (step @p534 :rule cong :premises (@p518 @p533) :args (@t722)) 121.43/121.74 (step @p535 :rule cong :premises (@p534 @p525) :args (@t820)) 121.43/121.74 (step @p536 :rule trans :premises (@p535 @p524)) 121.43/121.74 (step @p537 :rule nary_cong :premises (@p521 @p536) :args (@t821)) 121.43/121.74 (step @p538 :rule nary_cong :premises (@p537 @p523) :args (@t822)) 121.43/121.74 (step @p539 :rule eq-symm :args (@t813 @t810)) 121.43/121.74 (step @p540 :rule refl :args (@t810)) 121.43/121.74 (step @p541 :rule cong :premises (@p519 @p540) :args (@t823)) 121.43/121.74 (step @p542 :rule trans :premises (@p541 @p539)) 121.43/121.74 (step @p543 :rule nary_cong :premises (@p542 @p538) :args (@t824)) 121.43/121.74 (step @p544 :rule refl :args (@t825)) 121.43/121.74 (step @p545 :rule cong :premises (@p542) :args (@t826)) 121.43/121.74 (step @p546 :rule nary_cong :premises (@p545 @p544) :args (@t827)) 121.43/121.74 (step @p547 :rule nary_cong :premises (@p546 @p543) :args (@t828)) 121.43/121.74 (step @p548 :rule refl :args (@t829)) 121.43/121.74 (step @p549 :rule nary_cong :premises (@p548 @p547) :args (@t830)) 121.43/121.74 (step @p550 :rule refl :args (@t831)) 121.43/121.74 (step @p551 :rule cong :premises (@p550 @p549) :args ((=> @t831 @t830))) 121.43/121.74 (step @p552 :rule eq-symm :args (@t809 @t810)) 121.43/121.74 (step @p553 :rule refl :args (@t816)) 121.43/121.74 (step @p554 :rule nary_cong :premises (@p553 @p552) :args (@t832)) 121.43/121.74 (step @p555 :rule refl :args (@t821)) 121.43/121.74 (step @p556 :rule nary_cong :premises (@p555 @p554) :args (@t833)) 121.43/121.74 (step @p557 :rule refl :args (@t823)) 121.43/121.74 (step @p558 :rule nary_cong :premises (@p557 @p556) :args (@t834)) 121.43/121.74 (step @p559 :rule refl :args (@t827)) 121.43/121.74 (step @p560 :rule nary_cong :premises (@p559 @p558) :args (@t835)) 121.43/121.74 (step @p561 :rule nary_cong :premises (@p548 @p560) :args (@t836)) 121.43/121.74 (step @p562 :rule cong :premises (@p550 @p561) :args ((=> @t831 @t836))) 121.43/121.74 (assume-push @p602 @t831) 121.43/121.74 (step @p564 :rule instantiate :premises (@p512) :args ((@list @t807 tptp.p1 tptp.p2))) 121.43/121.74 (step-pop @p602 :rule scope :premises (@p564)) 121.43/121.74 (step @p565 :rule process_scope :premises (@p602) :args (@t836)) 121.43/121.74 (step @p567 :rule eq_resolve :premises (@p565 @p562)) 121.43/121.74 (step @p568 :rule eq_resolve :premises (@p567 @p551)) 121.43/121.74 (step @p569 :rule implies_elim :premises (@p568)) 121.43/121.74 (step @p570 :rule chain_resolution :premises (@p569 @p512) :args ((@list false) (@list @t831))) 121.43/121.74 ; trust TRUST PREPROCESS_HO_ELIM 121.43/121.74 (step @p571 :rule trust :premises () :args ((= @t621 (not @t829)))) 121.43/121.74 (step @p572 :rule eq_resolve :premises (@p256 @p571)) 121.43/121.74 (step @p573 :rule cnf_or_pos :args (@t844)) 121.43/121.74 (step @p574 :rule reordering :premises (@p573) :args ((or @t829 @t843 (not @t844)))) 121.43/121.74 (step @p575 :rule chain_resolution :premises (@p574 @p572 @p570) :args (@t845 (@list @t829 @t844))) 121.43/121.74 ; trust TRUST PREPROCESS_HO_ELIM 121.43/121.74 (step @p576 :rule trust :premises () :args ((= (= @t285 @t620) @t815))) 121.43/121.74 (step @p577 :rule eq-symm :args (@t620 @t285)) 121.43/121.74 (step @p578 :rule trans :premises (@p577 @p576 @p521)) 121.43/121.74 (step @p579 :rule eq_resolve :premises (@p319 @p578)) 121.43/121.74 ; trust TRUST PREPROCESS_HO_ELIM 121.43/121.74 (step @p580 :rule trust :premises () :args ((= (not (= @t287 @t540)) (not @t811)))) 121.43/121.74 (step @p581 :rule eq-symm :args (@t540 @t287)) 121.43/121.74 (step @p582 :rule cong :premises (@p581) :args (@t541)) 121.43/121.74 (step @p583 :rule trans :premises (@p582 @p580)) 121.43/121.74 (step @p584 :rule eq_resolve :premises (@p178 @p583)) 121.43/121.74 (step @p585 :rule cnf_or_pos :args (@t839)) 121.43/121.74 (step @p586 :rule reordering :premises (@p585) :args ((or @t811 @t838 (not @t839)))) 121.43/121.74 (step @p587 :rule chain_resolution :premises (@p586 @p584 @p579) :args (@t845 (@list @t811 @t837))) 121.43/121.74 (step @p588 :rule cnf_and_pos :args (@t840 1)) 121.43/121.74 (step @p589 :rule reordering :premises (@p588) :args ((or @t839 (not @t840)))) 121.43/121.74 (step @p590 :rule chain_resolution :premises (@p589 @p587) :args ((@list true) (@list @t839))) 121.43/121.74 (step @p591 :rule eq-symm :args (@t810 @t718)) 121.43/121.74 (step @p592 :rule cong :premises (@p591) :args (@t846)) 121.43/121.74 ; trust TRUST PREPROCESS_HO_ELIM 121.43/121.74 (step @p593 :rule trust :premises () :args ((= @t288 @t846))) 121.43/121.74 (step @p594 :rule trans :premises (@p593 @p592 @p545)) 121.43/121.74 (step @p595 :rule eq_resolve :premises (@p57 @p594)) 121.43/121.74 (step @p596 :rule cnf_or_pos :args (@t842)) 121.43/121.74 (step @p597 :rule reordering :premises (@p596) :args ((or @t841 @t840 (not @t842)))) 121.43/121.74 (step @p598 :rule chain_resolution :premises (@p597 @p595 @p590) :args ((@list true true) (@list @t841 @t840))) 121.43/121.74 (step @p599 :rule cnf_and_pos :args (@t843 1)) 121.43/121.74 (step @p600 :rule reordering :premises (@p599) :args ((or @t842 (not @t843)))) 121.43/121.74 (step @p601 false :rule chain_resolution :premises (@p600 @p598 @p575) :args (@t845 (@list @t842 @t843))) 121.43/121.74 ) 121.43/121.74 % SZS output end Proof 121.43/121.74 % cvc5 exiting 121.43/121.74 EOF