cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ITP175^1 : TPTP v9.2.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:25:16 AM UTC 2026

% Result   : Theorem 0.47s 0.89s
% Output   : Proof 0.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP175^1 : TPTP v9.2.1. Released v7.5.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n004.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 04:17:22 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.40/0.61  %----Proving TH0
% 0.47/0.89  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.47/0.89  % SZS status Theorem
% 0.47/0.89  % SZS output start Proof
% 0.47/0.89  (
% 0.47/0.89  (declare-sort tptp.set_Pr1900477680od_b_b 0)
% 0.47/0.89  (declare-sort tptp.labeled_graph_a_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr1463111367_set_b 0)
% 0.47/0.89  (declare-sort tptp.set_Product_prod_b_b 0)
% 0.47/0.89  (declare-sort tptp.b 0)
% 0.47/0.89  (declare-sort tptp.set_b 0)
% 0.47/0.89  (declare-sort tptp.product_prod_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr2007082183od_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr1912306449_a_nat 0)
% 0.47/0.89  (declare-sort tptp.set_Pr2074180935_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc598811825_a_nat 0)
% 0.47/0.89  (declare-sort tptp.set_Pr2106913242_nat_b 0)
% 0.47/0.89  (declare-sort tptp.set_la1108361502_a_nat 0)
% 0.47/0.89  (declare-sort tptp.set_se480333169_a_nat 0)
% 0.47/0.89  (declare-sort tptp.set_set_b 0)
% 0.47/0.89  (declare-sort tptp.set_se668355239od_b_b 0)
% 0.47/0.89  (declare-sort tptp.labeled_graph_a_nat 0)
% 0.47/0.89  (declare-sort tptp.labele1586099759_a_nat 0)
% 0.47/0.89  (declare-sort tptp.set_Pr1914572181_nat_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr21610864_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc2106791463_a_nat 0)
% 0.47/0.89  (declare-sort tptp.set_Pr2072721159_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc1942261264_a_nat 0)
% 0.47/0.89  (declare-sort tptp.a 0)
% 0.47/0.89  (declare-sort tptp.produc1099860071_a_nat 0)
% 0.47/0.89  (declare-sort tptp.set_Pr352593785_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc207618585_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc1734972647_a_nat 0)
% 0.47/0.89  (declare-sort tptp.set_Pr1370504391_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc588599965_a_nat 0)
% 0.47/0.89  (declare-sort tptp.set_Pr1223907581_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc1428649885_a_nat 0)
% 0.47/0.89  (declare-sort tptp.set_Pr1870121716_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc297983550_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc197046951od_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr963356295od_b_b 0)
% 0.47/0.89  (declare-sort tptp.labele553847424_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc1133639312od_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr1626978257_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc150548199_set_b 0)
% 0.47/0.89  (declare-sort tptp.produc51693287od_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr773647559od_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr1045675335_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc1869574247_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc1168037607od_b_b 0)
% 0.47/0.89  (declare-sort tptp.produc1614181008od_b_b 0)
% 0.47/0.89  (declare-sort tptp.produc1921243879od_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr454079687od_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr2010644300_a_nat 0)
% 0.47/0.89  (declare-sort tptp.set_Pr471017666_nat_b 0)
% 0.47/0.89  (declare-sort tptp.produc255402447od_b_b 0)
% 0.47/0.89  (declare-sort tptp.produc126142486_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc1053464231od_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr406163591od_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr1549208893od_b_b 0)
% 0.47/0.89  (declare-sort tptp.labele488176869od_b_b 0)
% 0.47/0.89  (declare-sort tptp.allegorical_term_a 0)
% 0.47/0.89  (declare-sort tptp.produc1230257585_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc759315249_a_nat 0)
% 0.47/0.89  (declare-sort tptp.set_Pr1271557767od_b_b 0)
% 0.47/0.89  (declare-sort tptp.produc1063300186_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc2112523263_b_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr357419743_b_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr1391123143od_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr621705391od_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr2028709629od_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr2054759953_a_nat 0)
% 0.47/0.89  (declare-sort tptp.produc1529836775od_b_b 0)
% 0.47/0.89  (declare-sort tptp.produc1554726631od_b_b 0)
% 0.47/0.89  (declare-sort tptp.produc1248251020_nat_b 0)
% 0.47/0.89  (declare-sort tptp.produc1114535079od_b_b 0)
% 0.47/0.89  (declare-sort tptp.produc300546791od_b_b 0)
% 0.47/0.89  (declare-sort tptp.produc130774173od_b_b 0)
% 0.47/0.89  (declare-sort tptp.produc401211613od_b_b 0)
% 0.47/0.89  (declare-sort tptp.set_Pr1229594311od_b_b 0)
% 0.47/0.89  (declare-sort tptp.produc776320369_a_nat 0)
% 0.47/0.89  (declare-const tptp.produc2000589545_a_nat (-> tptp.labeled_graph_a_nat tptp.labeled_graph_a_nat tptp.produc598811825_a_nat))
% 0.47/0.89  (declare-const tptp.member327031898_a_nat (-> tptp.produc598811825_a_nat tptp.set_Pr1912306449_a_nat Bool))
% 0.47/0.89  (declare-const tptp.produc546497367od_b_b (-> tptp.product_prod_b_b tptp.product_prod_b_b tptp.produc1168037607od_b_b))
% 0.47/0.89  (declare-const tptp.member1652792080od_b_b (-> tptp.produc1168037607od_b_b tptp.set_Pr2007082183od_b_b Bool))
% 0.47/0.89  (declare-const tptp.produc410388695_a_nat (-> tptp.produc598811825_a_nat tptp.produc598811825_a_nat tptp.produc1099860071_a_nat))
% 0.47/0.89  (declare-const tptp.member1542696848_a_nat (-> tptp.produc1099860071_a_nat tptp.set_Pr2074180935_a_nat Bool))
% 0.47/0.89  (declare-const tptp.product_Pair_b_b (-> tptp.b tptp.b tptp.product_prod_b_b))
% 0.47/0.89  (declare-const tptp.member1285940496od_b_b (-> tptp.product_prod_b_b tptp.set_Product_prod_b_b Bool))
% 0.47/0.89  (declare-const tptp.refl_o2134473190od_b_b (-> tptp.set_Product_prod_b_b tptp.set_Pr2007082183od_b_b Bool))
% 0.47/0.89  (declare-const tptp.refl_o206400048_a_nat (-> tptp.set_Pr1912306449_a_nat tptp.set_Pr2074180935_a_nat Bool))
% 0.47/0.89  (declare-const tptp.refl_o1018941609_a_nat (-> tptp.set_la1108361502_a_nat tptp.set_Pr1912306449_a_nat Bool))
% 0.47/0.89  (declare-const tptp.refl_on_b (-> tptp.set_b tptp.set_Product_prod_b_b Bool))
% 0.47/0.89  (declare-const tptp.bot_bo1343651123od_b_b tptp.set_Product_prod_b_b)
% 0.47/0.89  (declare-const tptp.bot_bo2066531197_a_nat tptp.set_Pr1912306449_a_nat)
% 0.47/0.89  (declare-const tptp.member_b (-> tptp.b tptp.set_b Bool))
% 0.47/0.89  (declare-const tptp.the_el537460006_a_nat (-> tptp.set_Pr1912306449_a_nat tptp.produc598811825_a_nat))
% 0.47/0.89  (declare-const tptp.insert2058869377_a_nat (-> tptp.produc598811825_a_nat tptp.set_Pr1912306449_a_nat tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (declare-const tptp.ord_le887919760od_b_b (-> tptp.set_Pr1900477680od_b_b tptp.set_Pr1900477680od_b_b Bool))
% 0.47/0.89  (declare-const tptp.ord_le2142668391_set_b (-> tptp.set_Pr1463111367_set_b tptp.set_Pr1463111367_set_b Bool))
% 0.47/0.89  (declare-const tptp.id_on_set_b (-> tptp.set_set_b tptp.set_Pr1463111367_set_b))
% 0.47/0.89  (declare-const tptp.equiv_1778431934od_b_b (-> tptp.set_Product_prod_b_b (-> tptp.b tptp.product_prod_b_b) Bool))
% 0.47/0.89  (declare-const tptp.bNF_Gr1693995344od_b_b (-> (-> tptp.b tptp.product_prod_b_b) tptp.set_b tptp.product_prod_b_b))
% 0.47/0.89  (declare-const tptp.graph_union_a_b (-> tptp.labeled_graph_a_b tptp.labeled_graph_a_b tptp.labeled_graph_a_b))
% 0.47/0.89  (declare-const tptp.equiv_270653002od_b_b (-> tptp.set_Pr2007082183od_b_b tptp.product_prod_b_b tptp.set_Product_prod_b_b))
% 0.47/0.89  (declare-const tptp.conseq1058228089_nat_b (-> tptp.set_Pr1912306449_a_nat tptp.labeled_graph_a_b Bool))
% 0.47/0.89  (declare-const tptp.equiv_1873824970_a_nat (-> tptp.set_Pr2074180935_a_nat tptp.produc598811825_a_nat tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (declare-const tptp.equiv_proj_b_b (-> tptp.set_Product_prod_b_b tptp.b tptp.set_b))
% 0.47/0.89  (declare-const tptp.ord_le1484132922_nat_b (-> tptp.set_Pr2106913242_nat_b tptp.set_Pr2106913242_nat_b Bool))
% 0.47/0.89  (declare-const tptp.id_on_1649591758_a_nat (-> tptp.set_Pr1912306449_a_nat tptp.set_Pr2074180935_a_nat))
% 0.47/0.89  (declare-const tptp.id_on_1401723275_a_nat (-> tptp.set_la1108361502_a_nat tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (declare-const tptp.id_on_2019020932od_b_b (-> tptp.set_Product_prod_b_b tptp.set_Pr2007082183od_b_b))
% 0.47/0.89  (declare-const tptp.id_on_b (-> tptp.set_b tptp.set_Product_prod_b_b))
% 0.47/0.89  (declare-const tptp.labeled_edges_a_b (-> tptp.labeled_graph_a_b tptp.set_Pr1900477680od_b_b))
% 0.47/0.89  (declare-const tptp.same_fst_b_b (-> (-> tptp.b Bool) (-> tptp.b tptp.set_Product_prod_b_b) tptp.set_Pr2007082183od_b_b))
% 0.47/0.89  (declare-const tptp.ord_le1374266033_a_nat (-> tptp.set_Pr1912306449_a_nat tptp.set_Pr1912306449_a_nat Bool))
% 0.47/0.89  (declare-const tptp.ord_less_eq_set_b (-> tptp.set_b tptp.set_b Bool))
% 0.47/0.89  (declare-const tptp.equiv_1338033912_a_nat (-> tptp.set_Pr1912306449_a_nat tptp.set_Pr2074180935_a_nat tptp.set_se480333169_a_nat))
% 0.47/0.89  (declare-const tptp.equiv_quotient_b (-> tptp.set_b tptp.set_Product_prod_b_b tptp.set_set_b))
% 0.47/0.89  (declare-const tptp.equiv_1530858158od_b_b (-> tptp.set_Product_prod_b_b tptp.set_Pr2007082183od_b_b tptp.set_se668355239od_b_b))
% 0.47/0.89  (declare-const tptp.extensible_a_nat_b (-> tptp.produc598811825_a_nat tptp.labeled_graph_a_b tptp.set_Pr2106913242_nat_b Bool))
% 0.47/0.89  (declare-const tptp.graph_23275493_nat_b (-> tptp.labele1586099759_a_nat tptp.labeled_graph_a_b tptp.set_Pr1914572181_nat_b Bool))
% 0.47/0.89  (declare-const tptp.bot_bo1463793628_a_nat tptp.set_Pr21610864_a_nat)
% 0.47/0.89  (declare-const tptp.bot_bo1936722433_nat_b tptp.set_Pr1914572181_nat_b)
% 0.47/0.89  (declare-const tptp.graph_914848022_nat_b (-> tptp.labeled_graph_a_nat tptp.labeled_graph_a_b tptp.set_Pr2106913242_nat_b Bool))
% 0.47/0.89  (declare-const tptp.is_sin1713057243od_b_b (-> tptp.set_Product_prod_b_b Bool))
% 0.47/0.89  (declare-const tptp.total_178717291od_b_b (-> tptp.set_Product_prod_b_b tptp.set_Pr2007082183od_b_b Bool))
% 0.47/0.89  (declare-const tptp.total_2145009205_a_nat (-> tptp.set_Pr1912306449_a_nat tptp.set_Pr2074180935_a_nat Bool))
% 0.47/0.89  (declare-const tptp.total_6094180_a_nat (-> tptp.set_la1108361502_a_nat tptp.set_Pr1912306449_a_nat Bool))
% 0.47/0.89  (declare-const tptp.order_1458491494_a_nat (-> tptp.set_Pr1912306449_a_nat tptp.set_Pr2074180935_a_nat Bool))
% 0.47/0.89  (declare-const tptp.order_653178932r_on_b (-> tptp.set_b tptp.set_Product_prod_b_b Bool))
% 0.47/0.89  (declare-const tptp.labeled_LG_a_b (-> tptp.set_Pr1900477680od_b_b tptp.set_b tptp.labeled_graph_a_b))
% 0.47/0.89  (declare-const tptp.standa879863265rule_a tptp.produc598811825_a_nat)
% 0.47/0.89  (declare-const tptp.produc797892631_a_nat (-> tptp.produc1133639312od_b_b tptp.produc1942261264_a_nat tptp.produc2106791463_a_nat))
% 0.47/0.89  (declare-const tptp.produc1904940160_a_nat (-> tptp.a tptp.produc1099860071_a_nat tptp.produc1942261264_a_nat))
% 0.47/0.89  (declare-const tptp.produc255168265_a_nat (-> tptp.b tptp.produc598811825_a_nat tptp.produc207618585_a_nat))
% 0.47/0.89  (declare-const tptp.on_tri232494965_a_nat (-> tptp.set_Pr1912306449_a_nat tptp.set_Pr1370504391_a_nat))
% 0.47/0.89  (declare-const tptp.produc1645191821_a_nat (-> tptp.produc1099860071_a_nat tptp.produc1428649885_a_nat tptp.produc588599965_a_nat))
% 0.47/0.89  (declare-const tptp.produc639906189_a_nat (-> tptp.produc598811825_a_nat tptp.produc1099860071_a_nat tptp.produc1428649885_a_nat))
% 0.47/0.89  (declare-const tptp.member121756432_a_nat (-> tptp.produc1734972647_a_nat tptp.set_Pr1370504391_a_nat Bool))
% 0.47/0.89  (declare-const tptp.on_tri1766439058_a_nat (-> tptp.set_Pr1870121716_a_nat tptp.set_Pr1223907581_a_nat))
% 0.47/0.89  (declare-const tptp.member1379268944_a_nat (-> tptp.produc2106791463_a_nat tptp.set_Pr2072721159_a_nat Bool))
% 0.47/0.89  (declare-const tptp.on_tri111564221od_b_b (-> tptp.set_Product_prod_b_b tptp.set_Pr454079687od_b_b))
% 0.47/0.89  (declare-const tptp.on_tri1794757026_nat_a (-> tptp.set_Pr352593785_a_nat tptp.set_Pr2072721159_a_nat))
% 0.47/0.89  (declare-const tptp.member442676358od_b_b (-> tptp.produc401211613od_b_b tptp.set_Pr1549208893od_b_b Bool))
% 0.47/0.89  (declare-const tptp.produc1037687191od_b_b (-> tptp.produc1133639312od_b_b tptp.produc1133639312od_b_b tptp.produc197046951od_b_b))
% 0.47/0.89  (declare-const tptp.standa390703484rule_a (-> tptp.a tptp.produc598811825_a_nat))
% 0.47/0.89  (declare-const tptp.produc1001682799_b_b_b (-> tptp.product_prod_b_b tptp.b tptp.produc2112523263_b_b_b))
% 0.47/0.89  (declare-const tptp.labele1171788421_a_nat (-> tptp.set_Pr21610864_a_nat tptp.set_Pr1912306449_a_nat tptp.labele1586099759_a_nat))
% 0.47/0.89  (declare-const tptp.standa709637829rule_a (-> tptp.a tptp.produc598811825_a_nat))
% 0.47/0.89  (declare-const tptp.refl_on_set_b (-> tptp.set_set_b tptp.set_Pr1463111367_set_b Bool))
% 0.47/0.89  (declare-const tptp.member_set_b (-> tptp.set_b tptp.set_set_b Bool))
% 0.47/0.89  (declare-const tptp.produc1116925335od_b_b (-> tptp.produc1614181008od_b_b tptp.produc1133639312od_b_b tptp.produc1114535079od_b_b))
% 0.47/0.89  (declare-const tptp.refl_o1899808198od_b_b (-> tptp.set_se668355239od_b_b tptp.set_Pr773647559od_b_b Bool))
% 0.47/0.89  (declare-const tptp.produc690925568od_b_b (-> tptp.a tptp.produc1168037607od_b_b tptp.produc1614181008od_b_b))
% 0.47/0.89  (declare-const tptp.order_640573096_a_nat (-> tptp.set_se480333169_a_nat tptp.set_Pr1045675335_a_nat Bool))
% 0.47/0.89  (declare-const tptp.produc179745357od_b_b (-> tptp.produc1063300186_a_nat tptp.produc1133639312od_b_b tptp.produc401211613od_b_b))
% 0.47/0.89  (declare-const tptp.refl_o730481808_a_nat (-> tptp.set_se480333169_a_nat tptp.set_Pr1045675335_a_nat Bool))
% 0.47/0.89  (declare-const tptp.produc1767291095_a_nat (-> tptp.set_Pr1912306449_a_nat tptp.set_Pr1912306449_a_nat tptp.produc1869574247_a_nat))
% 0.47/0.89  (declare-const tptp.getRel1657740669_a_nat (-> tptp.a tptp.labele553847424_a_nat tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (declare-const tptp.insert1098249399od_b_b (-> tptp.produc1168037607od_b_b tptp.set_Pr2007082183od_b_b tptp.set_Pr2007082183od_b_b))
% 0.47/0.89  (declare-const tptp.member1694913744od_b_b (-> tptp.produc197046951od_b_b tptp.set_Pr963356295od_b_b Bool))
% 0.47/0.89  (declare-const tptp.restri1808752350_a_nat (-> tptp.labele553847424_a_nat tptp.labele553847424_a_nat))
% 0.47/0.89  (declare-const tptp.produc2135284224od_b_b (-> tptp.a tptp.product_prod_b_b tptp.produc1133639312od_b_b))
% 0.47/0.89  (declare-const tptp.y tptp.b)
% 0.47/0.89  (declare-const tptp.fin_ma603645735_nat_b (-> tptp.produc598811825_a_nat tptp.labeled_graph_a_b Bool))
% 0.47/0.89  (declare-const tptp.bot_bo1803599795_a_nat tptp.set_Pr2074180935_a_nat)
% 0.47/0.89  (declare-const tptp.labele198153475_a_nat (-> tptp.labele1586099759_a_nat tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (declare-const tptp.produc1850071895od_b_b (-> tptp.product_prod_b_b tptp.produc1168037607od_b_b tptp.produc1529836775od_b_b))
% 0.47/0.89  (declare-const tptp.graph_1322245399_a_b_b (-> tptp.labeled_graph_a_b tptp.labeled_graph_a_b tptp.set_Product_prod_b_b Bool))
% 0.47/0.89  (declare-const tptp.standa414753934rule_a (-> tptp.a tptp.a tptp.produc598811825_a_nat))
% 0.47/0.89  (declare-const tptp.member1072844688_a_nat (-> tptp.produc1869574247_a_nat tptp.set_Pr1045675335_a_nat Bool))
% 0.47/0.89  (declare-const tptp.restrict_a_b (-> tptp.labeled_graph_a_b tptp.labeled_graph_a_b))
% 0.47/0.89  (declare-const tptp.getRel_a_b (-> tptp.a tptp.labeled_graph_a_b tptp.set_Product_prod_b_b))
% 0.47/0.89  (declare-const tptp.produc1783652257_a_nat (-> tptp.produc1168037607od_b_b tptp.produc759315249_a_nat tptp.produc1230257585_a_nat))
% 0.47/0.89  (declare-const tptp.insert1952693431od_b_b (-> tptp.product_prod_b_b tptp.set_Product_prod_b_b tptp.set_Product_prod_b_b))
% 0.47/0.89  (declare-const tptp.labeled_vertices_a_b (-> tptp.labeled_graph_a_b tptp.set_b))
% 0.47/0.89  (declare-const tptp.member1885627811_nat_b (-> tptp.produc1248251020_nat_b tptp.set_Pr471017666_nat_b Bool))
% 0.47/0.89  (declare-const tptp.l tptp.a)
% 0.47/0.89  (declare-const tptp.produc90796321_a_nat (-> tptp.product_prod_b_b tptp.produc598811825_a_nat tptp.produc759315249_a_nat))
% 0.47/0.89  (declare-const tptp.i tptp.a)
% 0.47/0.89  (declare-const tptp.z tptp.b)
% 0.47/0.89  (declare-const tptp.bot_bo1119737266_a_nat tptp.set_la1108361502_a_nat)
% 0.47/0.89  (declare-const tptp.maintained_a_nat_b (-> tptp.produc598811825_a_nat tptp.labeled_graph_a_b Bool))
% 0.47/0.89  (declare-const tptp.bot_bo519661404od_b_b tptp.set_Pr1900477680od_b_b)
% 0.47/0.89  (declare-const tptp.produc1027169111od_b_b (-> tptp.set_Product_prod_b_b tptp.set_Product_prod_b_b tptp.produc51693287od_b_b))
% 0.47/0.89  (declare-const tptp.mainta535344367_a_nat (-> tptp.produc598811825_a_nat tptp.labele553847424_a_nat Bool))
% 0.47/0.89  (declare-const tptp.bot_bo896299827_a_nat tptp.set_Pr1370504391_a_nat)
% 0.47/0.89  (declare-const tptp.getRel1183868946od_b_b (-> tptp.a tptp.labele488176869od_b_b tptp.set_Pr2007082183od_b_b))
% 0.47/0.89  (declare-const tptp.produc885982551od_b_b (-> tptp.produc1529836775od_b_b tptp.produc1168037607od_b_b tptp.produc300546791od_b_b))
% 0.47/0.89  (declare-const tptp.insert1655137376od_b_b (-> tptp.produc1133639312od_b_b tptp.set_Pr1900477680od_b_b tptp.set_Pr1900477680od_b_b))
% 0.47/0.89  (declare-const tptp.member351494440_b_b_b (-> tptp.produc2112523263_b_b_b tptp.set_Pr357419743_b_b_b Bool))
% 0.47/0.89  (declare-const tptp.restri431340145od_b_b (-> tptp.labele488176869od_b_b tptp.labele488176869od_b_b))
% 0.47/0.89  (declare-const tptp.refl_o686103183od_b_b (-> tptp.set_Pr1900477680od_b_b tptp.set_Pr963356295od_b_b Bool))
% 0.47/0.89  (declare-const tptp.produc1110849866_a_nat (-> tptp.a tptp.produc598811825_a_nat tptp.produc1063300186_a_nat))
% 0.47/0.89  (declare-const tptp.standa1329480012rule_a (-> tptp.a tptp.produc598811825_a_nat))
% 0.47/0.89  (declare-const tptp.produc789452695od_b_b (-> tptp.produc1133639312od_b_b tptp.produc1614181008od_b_b tptp.produc1053464231od_b_b))
% 0.47/0.89  (declare-const tptp.g tptp.labeled_graph_a_b)
% 0.47/0.89  (declare-const tptp.mainta552012832od_b_b (-> tptp.produc598811825_a_nat tptp.labele488176869od_b_b Bool))
% 0.47/0.89  (declare-const tptp.produc1403229015od_b_b (-> tptp.produc1168037607od_b_b tptp.produc1168037607od_b_b tptp.produc1921243879od_b_b))
% 0.47/0.89  (declare-const tptp.insert_b (-> tptp.b tptp.set_b tptp.set_b))
% 0.47/0.89  (declare-const tptp.refl_o1941611494od_b_b (-> tptp.set_Pr2007082183od_b_b tptp.set_Pr454079687od_b_b Bool))
% 0.47/0.89  (declare-const tptp.member1199885584_set_b (-> tptp.produc150548199_set_b tptp.set_Pr1463111367_set_b Bool))
% 0.47/0.89  (declare-const tptp.idempo365306145_a_nat (-> tptp.set_Pr2074180935_a_nat Bool))
% 0.47/0.89  (declare-const tptp.getRel1248627292_a_nat (-> tptp.a tptp.labele1586099759_a_nat tptp.set_Pr2074180935_a_nat))
% 0.47/0.89  (declare-const tptp.produc926922637od_b_b (-> tptp.produc759315249_a_nat tptp.produc1168037607od_b_b tptp.produc130774173od_b_b))
% 0.47/0.89  (declare-const tptp.insert885128759_a_nat (-> tptp.produc1869574247_a_nat tptp.set_Pr1045675335_a_nat tptp.set_Pr1045675335_a_nat))
% 0.47/0.89  (declare-const tptp.produc1600512702_nat_b (-> tptp.labeled_graph_a_nat tptp.b tptp.produc1248251020_nat_b))
% 0.47/0.89  (declare-const tptp.restri147273531_a_nat (-> tptp.labele1586099759_a_nat tptp.labele1586099759_a_nat))
% 0.47/0.89  (declare-const tptp.labele953802518_a_nat (-> tptp.labele553847424_a_nat tptp.set_la1108361502_a_nat))
% 0.47/0.89  (declare-const tptp.member154916863_a_nat (-> tptp.labeled_graph_a_nat tptp.set_la1108361502_a_nat Bool))
% 0.47/0.89  (declare-const tptp.produc1403713879_set_b (-> tptp.set_b tptp.set_b tptp.produc150548199_set_b))
% 0.47/0.89  (declare-const tptp.member428378182_a_nat (-> tptp.produc588599965_a_nat tptp.set_Pr1223907581_a_nat Bool))
% 0.47/0.89  (declare-const tptp.on_tri1706508026od_b_b (-> tptp.set_Pr471017666_nat_b tptp.set_Pr2028709629od_b_b))
% 0.47/0.89  (declare-const tptp.mainta1627462506_a_nat (-> tptp.produc598811825_a_nat tptp.labele1586099759_a_nat Bool))
% 0.47/0.89  (declare-const tptp.bot_bo1174586163od_b_b tptp.set_Pr2007082183od_b_b)
% 0.47/0.89  (declare-const tptp.produc1311571856_a_nat (-> tptp.b tptp.labeled_graph_a_nat tptp.produc126142486_a_nat))
% 0.47/0.89  (declare-const tptp.member1829919504od_b_b (-> tptp.produc1921243879od_b_b tptp.set_Pr454079687od_b_b Bool))
% 0.47/0.89  (declare-const tptp.on_tri2117183935_nat_a (-> tptp.set_Pr2010644300_a_nat tptp.set_Pr1626978257_a_nat))
% 0.47/0.89  (declare-const tptp.produc966067681_a_nat (-> tptp.produc1133639312od_b_b tptp.produc1063300186_a_nat tptp.produc776320369_a_nat))
% 0.47/0.89  (declare-const tptp.produc1257047359od_b_b (-> tptp.b tptp.product_prod_b_b tptp.produc255402447od_b_b))
% 0.47/0.89  (declare-const tptp.member1023210704od_b_b (-> tptp.produc1114535079od_b_b tptp.set_Pr1271557767od_b_b Bool))
% 0.47/0.89  (declare-const tptp.on_tri927008213od_b_b (-> tptp.set_Pr621705391od_b_b tptp.set_Pr1229594311od_b_b))
% 0.47/0.89  (declare-const tptp.order_1770871027_a_nat (-> tptp.set_la1108361502_a_nat tptp.set_Pr1912306449_a_nat Bool))
% 0.47/0.89  (declare-const tptp.member641857272od_b_b (-> tptp.produc255402447od_b_b tptp.set_Pr621705391od_b_b Bool))
% 0.47/0.89  (declare-const tptp.member817785114_a_nat (-> tptp.produc776320369_a_nat tptp.set_Pr1626978257_a_nat Bool))
% 0.47/0.89  (declare-const tptp.on_tri2003683308_b_b_a (-> tptp.set_Pr621705391od_b_b tptp.set_Pr406163591od_b_b))
% 0.47/0.89  (declare-const tptp.on_triple_b_b_a (-> tptp.set_Product_prod_b_b tptp.set_Pr963356295od_b_b))
% 0.47/0.89  (declare-const tptp.member962139856od_b_b (-> tptp.produc1053464231od_b_b tptp.set_Pr406163591od_b_b Bool))
% 0.47/0.89  (declare-const tptp.on_tri1993240081at_b_a (-> tptp.set_Pr471017666_nat_b tptp.set_Pr1549208893od_b_b))
% 0.47/0.89  (declare-const tptp.member670041670od_b_b (-> tptp.produc130774173od_b_b tptp.set_Pr2028709629od_b_b Bool))
% 0.47/0.89  (declare-const tptp.on_tri97791909od_b_b (-> tptp.set_Pr357419743_b_b_b tptp.set_Pr1391123143od_b_b))
% 0.47/0.89  (declare-const tptp.member178477328od_b_b (-> tptp.produc300546791od_b_b tptp.set_Pr1391123143od_b_b Bool))
% 0.47/0.89  (declare-const tptp.on_tri1764442556_b_b_a (-> tptp.set_Pr357419743_b_b_b tptp.set_Pr1271557767od_b_b))
% 0.47/0.89  (declare-const tptp.member1769525082_a_nat (-> tptp.produc1230257585_a_nat tptp.set_Pr2054759953_a_nat Bool))
% 0.47/0.89  (declare-const tptp.produc962089303od_b_b (-> tptp.produc1168037607od_b_b tptp.produc1529836775od_b_b tptp.produc1554726631od_b_b))
% 0.47/0.89  (declare-const tptp.semantics_a_b (-> tptp.labeled_graph_a_b tptp.allegorical_term_a tptp.set_Product_prod_b_b))
% 0.47/0.89  (declare-const tptp.insert1220735201_a_nat (-> tptp.set_Pr1912306449_a_nat tptp.set_se480333169_a_nat tptp.set_se480333169_a_nat))
% 0.47/0.89  (declare-const tptp.on_tri1837931688od_b_b (-> tptp.set_Pr2010644300_a_nat tptp.set_Pr2054759953_a_nat))
% 0.47/0.89  (declare-const tptp.member1432657168od_b_b (-> tptp.produc1554726631od_b_b tptp.set_Pr1229594311od_b_b Bool))
% 0.47/0.89  (declare-const tptp.member763519277_a_nat (-> tptp.produc126142486_a_nat tptp.set_Pr2010644300_a_nat Bool))
% 0.47/0.89  (declare-const tptp.idempo371692375od_b_b (-> tptp.set_Pr2007082183od_b_b Bool))
% 0.47/0.89  (declare-const tptp.member1009730320od_b_b (-> tptp.produc51693287od_b_b tptp.set_Pr773647559od_b_b Bool))
% 0.47/0.89  (declare-const tptp.idempo848975736_a_nat (-> tptp.set_Pr1912306449_a_nat Bool))
% 0.47/0.89  (declare-const tptp.refl_o2093460070_a_nat (-> tptp.set_Pr2074180935_a_nat tptp.set_Pr1370504391_a_nat Bool))
% 0.47/0.89  (declare-const tptp.member692218050_a_nat (-> tptp.produc207618585_a_nat tptp.set_Pr352593785_a_nat Bool))
% 0.47/0.89  (declare-const tptp.idempotent_b (-> tptp.set_Product_prod_b_b Bool))
% 0.47/0.89  (declare-const tptp.collec1543202610od_b_b (-> (-> tptp.set_Product_prod_b_b Bool) tptp.set_se668355239od_b_b))
% 0.47/0.89  (declare-const tptp.equiv_1125628061od_b_b (-> tptp.set_Product_prod_b_b tptp.set_Pr2007082183od_b_b Bool))
% 0.47/0.89  (declare-const tptp.collec1231052114od_b_b (-> (-> tptp.produc1168037607od_b_b Bool) tptp.set_Pr2007082183od_b_b))
% 0.47/0.89  (declare-const tptp.collec971438076_a_nat (-> (-> tptp.set_Pr1912306449_a_nat Bool) tptp.set_se480333169_a_nat))
% 0.47/0.89  (declare-const tptp.equiv_281634663_a_nat (-> tptp.set_Pr1912306449_a_nat tptp.set_Pr2074180935_a_nat Bool))
% 0.47/0.89  (declare-const tptp.collect_set_b (-> (-> tptp.set_b Bool) tptp.set_set_b))
% 0.47/0.89  (declare-const tptp.collect_b (-> (-> tptp.b Bool) tptp.set_b))
% 0.47/0.89  (declare-const tptp.collec978177436_a_nat (-> (-> tptp.produc598811825_a_nat Bool) tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (declare-const tptp.bot_bo1746593245_a_nat tptp.set_se480333169_a_nat)
% 0.47/0.89  (declare-const tptp.bNF_Gr345950468_set_b (-> tptp.set_Product_prod_b_b (-> tptp.b tptp.set_b) tptp.set_Pr1463111367_set_b))
% 0.47/0.89  (declare-const tptp.collec1481886546od_b_b (-> (-> tptp.product_prod_b_b Bool) tptp.set_Product_prod_b_b))
% 0.47/0.89  (declare-const tptp.produc404908887_a_nat (-> tptp.produc1099860071_a_nat tptp.produc1099860071_a_nat tptp.produc1734972647_a_nat))
% 0.47/0.89  (declare-const tptp.insert428421239od_b_b (-> tptp.produc197046951od_b_b tptp.set_Pr963356295od_b_b tptp.set_Pr963356295od_b_b))
% 0.47/0.89  (declare-const tptp.insert1772835511_a_nat (-> tptp.produc1734972647_a_nat tptp.set_Pr1370504391_a_nat tptp.set_Pr1370504391_a_nat))
% 0.47/0.89  (declare-const tptp.insert354391607_a_nat (-> tptp.produc1099860071_a_nat tptp.set_Pr2074180935_a_nat tptp.set_Pr2074180935_a_nat))
% 0.47/0.89  (declare-const tptp.bot_bo1856908531od_b_b tptp.set_Pr963356295od_b_b)
% 0.47/0.89  (declare-const tptp.bot_bo2142478259_a_nat tptp.set_Pr1045675335_a_nat)
% 0.47/0.89  (declare-const tptp.bot_bot_set_b tptp.set_b)
% 0.47/0.89  (declare-const tptp.insert1337853464_a_nat (-> tptp.labeled_graph_a_nat tptp.set_la1108361502_a_nat tptp.set_la1108361502_a_nat))
% 0.47/0.89  (declare-const tptp.produc2092742640_a_nat (-> tptp.labeled_graph_a_nat tptp.produc598811825_a_nat tptp.produc297983550_a_nat))
% 0.47/0.89  (declare-const tptp.member1050118384od_b_b (-> tptp.set_Product_prod_b_b tptp.set_se668355239od_b_b Bool))
% 0.47/0.89  (declare-const tptp.order_265664679od_b_b (-> tptp.set_Pr1900477680od_b_b tptp.set_Pr963356295od_b_b Bool))
% 0.47/0.89  (declare-const tptp.member101535418_a_nat (-> tptp.set_Pr1912306449_a_nat tptp.set_se480333169_a_nat Bool))
% 0.47/0.89  (declare-const tptp.labele240831545od_b_b (-> tptp.labele488176869od_b_b tptp.set_Product_prod_b_b))
% 0.47/0.89  (declare-const tptp.member2103088853_a_nat (-> tptp.produc297983550_a_nat tptp.set_Pr1870121716_a_nat Bool))
% 0.47/0.89  (define tptp.trans_1002055497_a_nat () (let ((_let_1 (@var "R3" tptp.set_Pr1912306449_a_nat))) (let ((_let_2 (@var "Z3" tptp.labeled_graph_a_nat))) (let ((_let_3 (@var "X5" tptp.labeled_graph_a_nat))) (let ((_let_4 (_ tptp.produc2000589545_a_nat _let_3))) (let ((_let_5 (@var "Y5" tptp.labeled_graph_a_nat))) (lambda (@list _let_1) (forall (@list _let_3 _let_5 _let_2) (=> (_ (_ tptp.member327031898_a_nat (_ _let_4 _let_5)) _let_1) (=> (_ (_ tptp.member327031898_a_nat (_ (_ tptp.produc2000589545_a_nat _let_5) _let_2)) _let_1) (_ (_ tptp.member327031898_a_nat (_ _let_4 _let_2)) _let_1)))))))))))
% 0.47/0.89  (define tptp.trans_1808857926od_b_b () (let ((_let_1 (@var "R3" tptp.set_Pr2007082183od_b_b))) (let ((_let_2 (@var "Z3" tptp.product_prod_b_b))) (let ((_let_3 (@var "X5" tptp.product_prod_b_b))) (let ((_let_4 (_ tptp.produc546497367od_b_b _let_3))) (let ((_let_5 (@var "Y5" tptp.product_prod_b_b))) (lambda (@list _let_1) (forall (@list _let_3 _let_5 _let_2) (=> (_ (_ tptp.member1652792080od_b_b (_ _let_4 _let_5)) _let_1) (=> (_ (_ tptp.member1652792080od_b_b (_ (_ tptp.produc546497367od_b_b _let_5) _let_2)) _let_1) (_ (_ tptp.member1652792080od_b_b (_ _let_4 _let_2)) _let_1)))))))))))
% 0.47/0.89  (define tptp.trans_444496784_a_nat () (let ((_let_1 (@var "R3" tptp.set_Pr2074180935_a_nat))) (let ((_let_2 (@var "Z3" tptp.produc598811825_a_nat))) (let ((_let_3 (@var "X5" tptp.produc598811825_a_nat))) (let ((_let_4 (_ tptp.produc410388695_a_nat _let_3))) (let ((_let_5 (@var "Y5" tptp.produc598811825_a_nat))) (lambda (@list _let_1) (forall (@list _let_3 _let_5 _let_2) (=> (_ (_ tptp.member1542696848_a_nat (_ _let_4 _let_5)) _let_1) (=> (_ (_ tptp.member1542696848_a_nat (_ (_ tptp.produc410388695_a_nat _let_5) _let_2)) _let_1) (_ (_ tptp.member1542696848_a_nat (_ _let_4 _let_2)) _let_1)))))))))))
% 0.47/0.89  (define tptp.trans_b () (let ((_let_1 (@var "R3" tptp.set_Product_prod_b_b))) (let ((_let_2 (@var "Z3" tptp.b))) (let ((_let_3 (@var "X5" tptp.b))) (let ((_let_4 (_ tptp.product_Pair_b_b _let_3))) (let ((_let_5 (@var "Y5" tptp.b))) (lambda (@list _let_1) (forall (@list _let_3 _let_5 _let_2) (=> (_ (_ tptp.member1285940496od_b_b (_ _let_4 _let_5)) _let_1) (=> (_ (_ tptp.member1285940496od_b_b (_ (_ tptp.product_Pair_b_b _let_5) _let_2)) _let_1) (_ (_ tptp.member1285940496od_b_b (_ _let_4 _let_2)) _let_1)))))))))))
% 0.47/0.89  (define tptp.order_1195372542od_b_b () (let ((_let_1 (@var "R3" tptp.set_Pr2007082183od_b_b))) (let ((_let_2 (@var "A5" tptp.set_Product_prod_b_b))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.refl_o2134473190od_b_b _let_2) _let_1) (_ tptp.trans_1808857926od_b_b _let_1))))))
% 0.47/0.89  (define tptp.order_145089608_a_nat () (let ((_let_1 (@var "R3" tptp.set_Pr2074180935_a_nat))) (let ((_let_2 (@var "A5" tptp.set_Pr1912306449_a_nat))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.refl_o206400048_a_nat _let_2) _let_1) (_ tptp.trans_444496784_a_nat _let_1))))))
% 0.47/0.89  (define tptp.order_989282449_a_nat () (let ((_let_1 (@var "R3" tptp.set_Pr1912306449_a_nat))) (let ((_let_2 (@var "A5" tptp.set_la1108361502_a_nat))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.refl_o1018941609_a_nat _let_2) _let_1) (_ tptp.trans_1002055497_a_nat _let_1))))))
% 0.47/0.89  (define tptp.order_preorder_on_b () (let ((_let_1 (@var "R3" tptp.set_Product_prod_b_b))) (let ((_let_2 (@var "A5" tptp.set_b))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.refl_on_b _let_2) _let_1) (_ tptp.trans_b _let_1))))))
% 0.47/0.89  (define tptp.bot_bo1302443370_b_b_o () (let ((_let_1 (@var "X5" tptp.product_prod_b_b))) (lambda (@list _let_1) (_ (_ tptp.member1285940496od_b_b _let_1) tptp.bot_bo1343651123od_b_b))))
% 0.47/0.89  (define tptp.bot_bo186023328_nat_o () (let ((_let_1 (@var "X5" tptp.produc598811825_a_nat))) (lambda (@list _let_1) (_ (_ tptp.member327031898_a_nat _let_1) tptp.bot_bo2066531197_a_nat))))
% 0.47/0.89  (define tptp.sym_b () (let ((_let_1 (@var "R3" tptp.set_Product_prod_b_b))) (let ((_let_2 (@var "X5" tptp.b))) (let ((_let_3 (@var "Y5" tptp.b))) (lambda (@list _let_1) (forall (@list _let_2 _let_3) (=> (_ (_ tptp.member1285940496od_b_b (_ (_ tptp.product_Pair_b_b _let_2) _let_3)) _let_1) (_ (_ tptp.member1285940496od_b_b (_ (_ tptp.product_Pair_b_b _let_3) _let_2)) _let_1))))))))
% 0.47/0.89  (define tptp.total_on_b () (let ((_let_1 (@var "R3" tptp.set_Product_prod_b_b))) (let ((_let_2 (@var "X5" tptp.b))) (let ((_let_3 (@var "Y5" tptp.b))) (let ((_let_4 (@var "A5" tptp.set_b))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.member_b _let_2) _let_4) (forall (@list _let_3) (=> (_ (_ tptp.member_b _let_3) _let_4) (=> (not (= _let_2 _let_3)) (or (_ (_ tptp.member1285940496od_b_b (_ (_ tptp.product_Pair_b_b _let_2) _let_3)) _let_1) (_ (_ tptp.member1285940496od_b_b (_ (_ tptp.product_Pair_b_b _let_3) _let_2)) _let_1)))))))))))))
% 0.47/0.89  (define tptp.is_sin1787449765_a_nat () (let ((_let_1 (@var "A5" tptp.set_Pr1912306449_a_nat))) (lambda (@list _let_1) (= _let_1 (_ (_ tptp.insert2058869377_a_nat (_ tptp.the_el537460006_a_nat _let_1)) tptp.bot_bo2066531197_a_nat)))))
% 0.47/0.89  (define tptp.equiv_equiv_b () (let ((_let_1 (@var "R3" tptp.set_Product_prod_b_b))) (let ((_let_2 (@var "A5" tptp.set_b))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.refl_on_b _let_2) _let_1) (_ tptp.sym_b _let_1) (_ tptp.trans_b _let_1))))))
% 0.47/0.89  (define tptp.is_emp1506632323_a_nat () (let ((_let_1 (@var "A5" tptp.set_Pr1912306449_a_nat))) (lambda (@list _let_1) (= _let_1 tptp.bot_bo2066531197_a_nat))))
% 0.47/0.89  (define tptp.ord_le1036320359od_b_b () (let ((_let_1 (@var "B6" tptp.set_Product_prod_b_b))) (let ((_let_2 (@var "T" tptp.product_prod_b_b))) (let ((_let_3 (_ tptp.member1285940496od_b_b _let_2))) (let ((_let_4 (@var "A5" tptp.set_Product_prod_b_b))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1)))))))))
% 0.47/0.89  (define @t1 () (_ (_ tptp.getRel_a_b tptp.i) tptp.g))
% 0.47/0.89  (define @t2 () (@var "X" tptp.b))
% 0.47/0.89  (define @t3 () (@var "Y" tptp.b))
% 0.47/0.89  (define @t4 () (_ (_ tptp.product_Pair_b_b @t3) @t2))
% 0.47/0.89  (define @t5 () (_ (_ tptp.member1285940496od_b_b @t4) @t1))
% 0.47/0.89  (define @t6 () (_ (_ tptp.product_Pair_b_b @t2) @t3))
% 0.47/0.89  (define @t7 () (_ (_ tptp.member1285940496od_b_b @t6) @t1))
% 0.47/0.89  (define @t8 () (@list @t2 @t3))
% 0.47/0.89  (define @t9 () (forall @t8 (=> @t7 @t5)))
% 0.47/0.89  (define @t10 () (_ tptp.labeled_vertices_a_b tptp.g))
% 0.47/0.89  (define @t11 () (_ (_ tptp.product_Pair_b_b tptp.y) tptp.z))
% 0.47/0.89  (define @t12 () (_ (_ tptp.member1285940496od_b_b @t11) @t1))
% 0.47/0.89  (define @t13 () (@var "Y2" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t14 () (@var "X2" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t15 () (@var "Y1" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t16 () (@var "X1" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t17 () (@var "Y2" tptp.product_prod_b_b))
% 0.47/0.89  (define @t18 () (@var "X2" tptp.product_prod_b_b))
% 0.47/0.89  (define @t19 () (= @t18 @t17))
% 0.47/0.89  (define @t20 () (@var "Y1" tptp.product_prod_b_b))
% 0.47/0.89  (define @t21 () (@var "X1" tptp.product_prod_b_b))
% 0.47/0.89  (define @t22 () (@var "Y2" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t23 () (@var "X2" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t24 () (@var "Y1" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t25 () (@var "X1" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t26 () (@var "Y1" tptp.a))
% 0.47/0.89  (define @t27 () (@var "X1" tptp.a))
% 0.47/0.89  (define @t28 () (@var "Y2" tptp.b))
% 0.47/0.89  (define @t29 () (@var "X2" tptp.b))
% 0.47/0.89  (define @t30 () (@var "Y1" tptp.b))
% 0.47/0.89  (define @t31 () (@var "X1" tptp.b))
% 0.47/0.89  (define @t32 () (@var "B2" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t33 () (@var "B" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t34 () (= @t33 @t32))
% 0.47/0.89  (define @t35 () (@var "A2" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t36 () (@var "A" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t37 () (= @t36 @t35))
% 0.47/0.89  (define @t38 () (_ tptp.produc2000589545_a_nat @t36))
% 0.47/0.89  (define @t39 () (_ @t38 @t33))
% 0.47/0.89  (define @t40 () (= @t39 (_ (_ tptp.produc2000589545_a_nat @t35) @t32)))
% 0.47/0.89  (define @t41 () (@list @t36 @t33 @t35 @t32))
% 0.47/0.89  (define @t42 () (@var "B2" tptp.product_prod_b_b))
% 0.47/0.89  (define @t43 () (@var "B" tptp.product_prod_b_b))
% 0.47/0.89  (define @t44 () (= @t43 @t42))
% 0.47/0.89  (define @t45 () (@var "A2" tptp.product_prod_b_b))
% 0.47/0.89  (define @t46 () (@var "A" tptp.product_prod_b_b))
% 0.47/0.89  (define @t47 () (= @t46 @t45))
% 0.47/0.89  (define @t48 () (_ tptp.produc546497367od_b_b @t46))
% 0.47/0.89  (define @t49 () (_ @t48 @t43))
% 0.47/0.89  (define @t50 () (= @t49 (_ (_ tptp.produc546497367od_b_b @t45) @t42)))
% 0.47/0.89  (define @t51 () (@list @t46 @t43 @t45 @t42))
% 0.47/0.89  (define @t52 () (@var "B2" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t53 () (@var "B" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t54 () (= @t53 @t52))
% 0.47/0.89  (define @t55 () (@var "A2" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t56 () (@var "A" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t57 () (= @t56 @t55))
% 0.47/0.89  (define @t58 () (_ tptp.produc410388695_a_nat @t56))
% 0.47/0.89  (define @t59 () (_ @t58 @t53))
% 0.47/0.89  (define @t60 () (= @t59 (_ (_ tptp.produc410388695_a_nat @t55) @t52)))
% 0.47/0.89  (define @t61 () (@list @t56 @t53 @t55 @t52))
% 0.47/0.89  (define @t62 () (@var "A2" tptp.a))
% 0.47/0.89  (define @t63 () (@var "A" tptp.a))
% 0.47/0.89  (define @t64 () (= @t63 @t62))
% 0.47/0.89  (define @t65 () (_ tptp.produc2135284224od_b_b @t63))
% 0.47/0.89  (define @t66 () (= (_ @t65 @t43) (_ (_ tptp.produc2135284224od_b_b @t62) @t42)))
% 0.47/0.89  (define @t67 () (@list @t63 @t43 @t62 @t42))
% 0.47/0.89  (define @t68 () (@var "B2" tptp.b))
% 0.47/0.89  (define @t69 () (@var "B" tptp.b))
% 0.47/0.89  (define @t70 () (= @t69 @t68))
% 0.47/0.89  (define @t71 () (@var "A2" tptp.b))
% 0.47/0.89  (define @t72 () (@var "A" tptp.b))
% 0.47/0.89  (define @t73 () (= @t72 @t71))
% 0.47/0.89  (define @t74 () (_ tptp.product_Pair_b_b @t72))
% 0.47/0.89  (define @t75 () (_ @t74 @t69))
% 0.47/0.89  (define @t76 () (= @t75 (_ (_ tptp.product_Pair_b_b @t71) @t68)))
% 0.47/0.89  (define @t77 () (@list @t72 @t69 @t71 @t68))
% 0.47/0.89  (define @t78 () (@var "Y3" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t79 () (@var "X3" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t80 () (_ tptp.produc2000589545_a_nat @t79))
% 0.47/0.89  (define @t81 () (_ @t80 @t78))
% 0.47/0.89  (define @t82 () (@var "P" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t83 () (@var "Y3" tptp.product_prod_b_b))
% 0.47/0.89  (define @t84 () (@var "X3" tptp.product_prod_b_b))
% 0.47/0.89  (define @t85 () (_ tptp.produc546497367od_b_b @t84))
% 0.47/0.89  (define @t86 () (_ @t85 @t83))
% 0.47/0.89  (define @t87 () (@var "P" tptp.produc1168037607od_b_b))
% 0.47/0.89  (define @t88 () (@list @t84 @t83))
% 0.47/0.89  (define @t89 () (@var "Y3" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t90 () (@var "X3" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t91 () (_ tptp.produc410388695_a_nat @t90))
% 0.47/0.89  (define @t92 () (_ @t91 @t89))
% 0.47/0.89  (define @t93 () (@var "P" tptp.produc1099860071_a_nat))
% 0.47/0.89  (define @t94 () (@list @t90 @t89))
% 0.47/0.89  (define @t95 () (@var "X3" tptp.a))
% 0.47/0.89  (define @t96 () (@var "P" tptp.produc1133639312od_b_b))
% 0.47/0.89  (define @t97 () (@var "Y3" tptp.b))
% 0.47/0.89  (define @t98 () (@var "X3" tptp.b))
% 0.47/0.89  (define @t99 () (_ tptp.product_Pair_b_b @t98))
% 0.47/0.89  (define @t100 () (_ @t99 @t97))
% 0.47/0.89  (define @t101 () (@var "P" tptp.product_prod_b_b))
% 0.47/0.89  (define @t102 () (@list @t98 @t97))
% 0.47/0.89  (define @t103 () (@var "P2" (-> tptp.produc598811825_a_nat Bool)))
% 0.47/0.89  (define @t104 () (@var "B3" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t105 () (@var "A3" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t106 () (_ (_ tptp.produc2000589545_a_nat @t105) @t104))
% 0.47/0.89  (define @t107 () (@list @t105 @t104))
% 0.47/0.89  (define @t108 () (forall @t107 (_ @t103 @t106)))
% 0.47/0.89  (define @t109 () (@var "P2" (-> tptp.produc1168037607od_b_b Bool)))
% 0.47/0.89  (define @t110 () (@var "B3" tptp.product_prod_b_b))
% 0.47/0.89  (define @t111 () (@var "A3" tptp.product_prod_b_b))
% 0.47/0.89  (define @t112 () (_ tptp.produc546497367od_b_b @t111))
% 0.47/0.89  (define @t113 () (_ @t112 @t110))
% 0.47/0.89  (define @t114 () (@list @t111 @t110))
% 0.47/0.89  (define @t115 () (forall @t114 (_ @t109 @t113)))
% 0.47/0.89  (define @t116 () (@var "P2" (-> tptp.produc1099860071_a_nat Bool)))
% 0.47/0.89  (define @t117 () (@var "B3" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t118 () (@var "A3" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t119 () (_ tptp.produc410388695_a_nat @t118))
% 0.47/0.89  (define @t120 () (_ @t119 @t117))
% 0.47/0.89  (define @t121 () (@list @t118 @t117))
% 0.47/0.89  (define @t122 () (forall @t121 (_ @t116 @t120)))
% 0.47/0.89  (define @t123 () (@var "P2" (-> tptp.produc1133639312od_b_b Bool)))
% 0.47/0.89  (define @t124 () (@var "A3" tptp.a))
% 0.47/0.89  (define @t125 () (_ tptp.produc2135284224od_b_b @t124))
% 0.47/0.89  (define @t126 () (_ @t125 @t110))
% 0.47/0.89  (define @t127 () (@list @t124 @t110))
% 0.47/0.89  (define @t128 () (forall @t127 (_ @t123 @t126)))
% 0.47/0.89  (define @t129 () (@var "P2" (-> tptp.product_prod_b_b Bool)))
% 0.47/0.89  (define @t130 () (@var "B3" tptp.b))
% 0.47/0.89  (define @t131 () (@var "A3" tptp.b))
% 0.47/0.89  (define @t132 () (_ (_ tptp.product_Pair_b_b @t131) @t130))
% 0.47/0.89  (define @t133 () (@list @t131 @t130))
% 0.47/0.89  (define @t134 () (forall @t133 (_ @t129 @t132)))
% 0.47/0.89  (define @t135 () (not @t44))
% 0.47/0.89  (define @t136 () (@var "C" tptp.b))
% 0.47/0.89  (define @t137 () (_ tptp.product_Pair_b_b @t130))
% 0.47/0.89  (define @t138 () (_ @t137 @t136))
% 0.47/0.89  (define @t139 () (_ @t112 @t138))
% 0.47/0.89  (define @t140 () (@var "Y4" tptp.produc1168037607od_b_b))
% 0.47/0.89  (define @t141 () (@list @t111 @t130 @t136))
% 0.47/0.89  (define @t142 () (@list @t140))
% 0.47/0.89  (define @t143 () (@var "C" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t144 () (_ @t119 (_ (_ tptp.produc2000589545_a_nat @t104) @t143)))
% 0.47/0.89  (define @t145 () (@var "Y4" tptp.produc1099860071_a_nat))
% 0.47/0.89  (define @t146 () (@list @t118 @t104 @t143))
% 0.47/0.89  (define @t147 () (@list @t145))
% 0.47/0.89  (define @t148 () (_ @t125 @t138))
% 0.47/0.89  (define @t149 () (@var "Y4" tptp.produc1133639312od_b_b))
% 0.47/0.89  (define @t150 () (@list @t124 @t130 @t136))
% 0.47/0.89  (define @t151 () (@list @t149))
% 0.47/0.89  (define @t152 () (@var "Prod" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t153 () (@var "Prod" tptp.produc1168037607od_b_b))
% 0.47/0.89  (define @t154 () (@var "Prod" tptp.produc1099860071_a_nat))
% 0.47/0.89  (define @t155 () (@var "Prod" tptp.produc1133639312od_b_b))
% 0.47/0.89  (define @t156 () (@var "Prod" tptp.product_prod_b_b))
% 0.47/0.89  (define @t157 () (@var "Y4" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t158 () (@var "Y4" tptp.product_prod_b_b))
% 0.47/0.89  (define @t159 () (@var "X4" tptp.produc1168037607od_b_b))
% 0.47/0.89  (define @t160 () (@var "X4" tptp.produc1099860071_a_nat))
% 0.47/0.89  (define @t161 () (@var "X4" tptp.produc1133639312od_b_b))
% 0.47/0.89  (define @t162 () (@var "G" tptp.labeled_graph_a_b))
% 0.47/0.89  (define @t163 () (_ tptp.labeled_vertices_a_b @t162))
% 0.47/0.89  (define @t164 () (_ tptp.restrict_a_b @t162))
% 0.47/0.89  (define @t165 () (@list @t162))
% 0.47/0.89  (define @t166 () (_ tptp.member_b @t72))
% 0.47/0.89  (define @t167 () (@var "L" tptp.a))
% 0.47/0.89  (define @t168 () (_ tptp.getRel_a_b @t167))
% 0.47/0.89  (define @t169 () (_ @t168 @t162))
% 0.47/0.89  (define @t170 () (_ tptp.member1285940496od_b_b @t75))
% 0.47/0.89  (define @t171 () (_ @t170 @t169))
% 0.47/0.89  (define @t172 () (= @t162 @t164))
% 0.47/0.89  (define @t173 () (@list @t162 @t72 @t69 @t167))
% 0.47/0.89  (define @t174 () (_ tptp.member_b @t69))
% 0.47/0.89  (define @t175 () (@var "G" tptp.labele553847424_a_nat))
% 0.47/0.89  (define @t176 () (_ (_ tptp.getRel1657740669_a_nat @t167) @t175))
% 0.47/0.89  (define @t177 () (_ tptp.standa390703484rule_a @t167))
% 0.47/0.89  (define @t178 () (= @t175 (_ tptp.restri1808752350_a_nat @t175)))
% 0.47/0.89  (define @t179 () (@list @t175 @t167))
% 0.47/0.89  (define @t180 () (@list @t162 @t167))
% 0.47/0.89  (define @t181 () (@var "R" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t182 () (@var "G" tptp.labele488176869od_b_b))
% 0.47/0.89  (define @t183 () (_ tptp.labele240831545od_b_b @t182))
% 0.47/0.89  (define @t184 () (_ tptp.standa1329480012rule_a @t167))
% 0.47/0.89  (define @t185 () (= @t182 (_ tptp.restri431340145od_b_b @t182)))
% 0.47/0.89  (define @t186 () (@var "G" tptp.labele1586099759_a_nat))
% 0.47/0.89  (define @t187 () (_ tptp.labele198153475_a_nat @t186))
% 0.47/0.89  (define @t188 () (= @t186 (_ tptp.restri147273531_a_nat @t186)))
% 0.47/0.89  (define @t189 () (@var "X4" tptp.labeled_graph_a_b))
% 0.47/0.89  (define @t190 () (_ tptp.restrict_a_b @t189))
% 0.47/0.89  (define @t191 () (@var "A4" tptp.set_Pr2007082183od_b_b))
% 0.47/0.89  (define @t192 () (@var "B" tptp.produc1168037607od_b_b))
% 0.47/0.89  (define @t193 () (@var "A" tptp.produc1168037607od_b_b))
% 0.47/0.89  (define @t194 () (_ tptp.member1652792080od_b_b @t193))
% 0.47/0.89  (define @t195 () (_ @t194 @t191))
% 0.47/0.89  (define @t196 () (@var "R2" tptp.set_Pr454079687od_b_b))
% 0.47/0.89  (define @t197 () (_ tptp.produc1403229015od_b_b @t193))
% 0.47/0.89  (define @t198 () (_ (_ tptp.refl_o1941611494od_b_b @t191) @t196))
% 0.47/0.89  (define @t199 () (@var "A4" tptp.set_se480333169_a_nat))
% 0.47/0.89  (define @t200 () (@var "B" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t201 () (@var "A" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t202 () (_ tptp.member101535418_a_nat @t201))
% 0.47/0.89  (define @t203 () (_ @t202 @t199))
% 0.47/0.89  (define @t204 () (@var "R2" tptp.set_Pr1045675335_a_nat))
% 0.47/0.89  (define @t205 () (_ tptp.produc1767291095_a_nat @t201))
% 0.47/0.89  (define @t206 () (_ (_ tptp.refl_o730481808_a_nat @t199) @t204))
% 0.47/0.89  (define @t207 () (@var "A4" tptp.set_se668355239od_b_b))
% 0.47/0.89  (define @t208 () (@var "B" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t209 () (@var "A" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t210 () (_ tptp.member1050118384od_b_b @t209))
% 0.47/0.89  (define @t211 () (_ @t210 @t207))
% 0.47/0.89  (define @t212 () (@var "R2" tptp.set_Pr773647559od_b_b))
% 0.47/0.89  (define @t213 () (_ tptp.produc1027169111od_b_b @t209))
% 0.47/0.89  (define @t214 () (_ (_ tptp.refl_o1899808198od_b_b @t207) @t212))
% 0.47/0.89  (define @t215 () (@var "A4" tptp.set_set_b))
% 0.47/0.89  (define @t216 () (@var "B" tptp.set_b))
% 0.47/0.89  (define @t217 () (@var "A" tptp.set_b))
% 0.47/0.89  (define @t218 () (_ tptp.member_set_b @t217))
% 0.47/0.89  (define @t219 () (_ @t218 @t215))
% 0.47/0.89  (define @t220 () (@var "R2" tptp.set_Pr1463111367_set_b))
% 0.47/0.89  (define @t221 () (_ tptp.produc1403713879_set_b @t217))
% 0.47/0.89  (define @t222 () (_ (_ tptp.refl_on_set_b @t215) @t220))
% 0.47/0.89  (define @t223 () (@var "A4" tptp.set_la1108361502_a_nat))
% 0.47/0.89  (define @t224 () (_ (_ tptp.member154916863_a_nat @t36) @t223))
% 0.47/0.89  (define @t225 () (@var "R2" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t226 () (_ (_ tptp.refl_o1018941609_a_nat @t223) @t225))
% 0.47/0.89  (define @t227 () (@var "A4" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t228 () (_ tptp.member327031898_a_nat @t53))
% 0.47/0.89  (define @t229 () (_ tptp.member327031898_a_nat @t56))
% 0.47/0.89  (define @t230 () (_ @t229 @t227))
% 0.47/0.89  (define @t231 () (@var "R2" tptp.set_Pr2074180935_a_nat))
% 0.47/0.89  (define @t232 () (_ (_ tptp.refl_o206400048_a_nat @t227) @t231))
% 0.47/0.89  (define @t233 () (@var "A4" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t234 () (_ tptp.member1285940496od_b_b @t43))
% 0.47/0.89  (define @t235 () (_ tptp.member1285940496od_b_b @t46))
% 0.47/0.89  (define @t236 () (_ @t235 @t233))
% 0.47/0.89  (define @t237 () (@var "R2" tptp.set_Pr2007082183od_b_b))
% 0.47/0.89  (define @t238 () (_ tptp.member1652792080od_b_b @t49))
% 0.47/0.89  (define @t239 () (_ (_ tptp.refl_o2134473190od_b_b @t233) @t237))
% 0.47/0.89  (define @t240 () (@var "A4" tptp.set_b))
% 0.47/0.89  (define @t241 () (_ @t166 @t240))
% 0.47/0.89  (define @t242 () (@var "R2" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t243 () (_ @t170 @t242))
% 0.47/0.89  (define @t244 () (_ tptp.refl_on_b @t240))
% 0.47/0.89  (define @t245 () (_ @t244 @t242))
% 0.47/0.89  (define @t246 () (_ (_ tptp.member1829919504od_b_b (_ (_ tptp.produc1403229015od_b_b @t159) @t140)) @t196))
% 0.47/0.89  (define @t247 () (@list @t191 @t196 @t159 @t140))
% 0.47/0.89  (define @t248 () (@var "Y4" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t249 () (@var "X4" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t250 () (_ tptp.produc1767291095_a_nat @t249))
% 0.47/0.89  (define @t251 () (_ (_ tptp.member1072844688_a_nat (_ @t250 @t248)) @t204))
% 0.47/0.89  (define @t252 () (@list @t199 @t204 @t249 @t248))
% 0.47/0.89  (define @t253 () (@var "Y4" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t254 () (@var "X4" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t255 () (_ (_ tptp.member1009730320od_b_b (_ (_ tptp.produc1027169111od_b_b @t254) @t253)) @t212))
% 0.47/0.89  (define @t256 () (@list @t207 @t212 @t254 @t253))
% 0.47/0.89  (define @t257 () (@var "Y4" tptp.set_b))
% 0.47/0.89  (define @t258 () (@var "X4" tptp.set_b))
% 0.47/0.89  (define @t259 () (_ (_ tptp.member1199885584_set_b (_ (_ tptp.produc1403713879_set_b @t258) @t257)) @t220))
% 0.47/0.89  (define @t260 () (@list @t215 @t220 @t258 @t257))
% 0.47/0.89  (define @t261 () (@var "Y4" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t262 () (@var "X4" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t263 () (_ tptp.produc2000589545_a_nat @t262))
% 0.47/0.89  (define @t264 () (_ (_ tptp.member327031898_a_nat (_ @t263 @t261)) @t225))
% 0.47/0.89  (define @t265 () (@list @t223 @t225 @t262 @t261))
% 0.47/0.89  (define @t266 () (_ (_ tptp.member327031898_a_nat @t157) @t227))
% 0.47/0.89  (define @t267 () (@var "X4" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t268 () (_ tptp.produc410388695_a_nat @t267))
% 0.47/0.89  (define @t269 () (_ (_ tptp.member1542696848_a_nat (_ @t268 @t157)) @t231))
% 0.47/0.89  (define @t270 () (@list @t227 @t231 @t267 @t157))
% 0.47/0.89  (define @t271 () (_ tptp.member1285940496od_b_b @t158))
% 0.47/0.89  (define @t272 () (_ @t271 @t233))
% 0.47/0.89  (define @t273 () (@var "X4" tptp.product_prod_b_b))
% 0.47/0.89  (define @t274 () (_ tptp.produc546497367od_b_b @t273))
% 0.47/0.89  (define @t275 () (_ tptp.member1652792080od_b_b (_ @t274 @t158)))
% 0.47/0.89  (define @t276 () (_ @t275 @t237))
% 0.47/0.89  (define @t277 () (@list @t233 @t237 @t273 @t158))
% 0.47/0.89  (define @t278 () (@var "Y4" tptp.b))
% 0.47/0.89  (define @t279 () (_ tptp.member_b @t278))
% 0.47/0.89  (define @t280 () (_ @t279 @t240))
% 0.47/0.89  (define @t281 () (@var "X4" tptp.b))
% 0.47/0.89  (define @t282 () (_ tptp.product_Pair_b_b @t281))
% 0.47/0.89  (define @t283 () (_ @t282 @t278))
% 0.47/0.89  (define @t284 () (_ tptp.member1285940496od_b_b @t283))
% 0.47/0.89  (define @t285 () (_ @t284 @t242))
% 0.47/0.89  (define @t286 () (@list @t240 @t242 @t281 @t278))
% 0.47/0.89  (define @t287 () (@var "Z" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t288 () (_ tptp.trans_1002055497_a_nat @t225))
% 0.47/0.89  (define @t289 () (@var "Z" tptp.product_prod_b_b))
% 0.47/0.89  (define @t290 () (_ tptp.trans_1808857926od_b_b @t237))
% 0.47/0.89  (define @t291 () (@var "Z" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t292 () (_ tptp.trans_444496784_a_nat @t231))
% 0.47/0.89  (define @t293 () (@var "Z" tptp.b))
% 0.47/0.89  (define @t294 () (_ tptp.member1285940496od_b_b (_ (_ tptp.product_Pair_b_b @t278) @t293)))
% 0.47/0.89  (define @t295 () (_ tptp.trans_b @t242))
% 0.47/0.89  (define @t296 () (@var "Z2" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t297 () (@list @t225))
% 0.47/0.89  (define @t298 () (@var "Z2" tptp.product_prod_b_b))
% 0.47/0.89  (define @t299 () (_ tptp.produc546497367od_b_b @t83))
% 0.47/0.89  (define @t300 () (_ (_ tptp.member1652792080od_b_b @t86) @t237))
% 0.47/0.89  (define @t301 () (@var "Z2" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t302 () (@list @t231))
% 0.47/0.89  (define @t303 () (@var "Z2" tptp.b))
% 0.47/0.89  (define @t304 () (_ tptp.product_Pair_b_b @t97))
% 0.47/0.89  (define @t305 () (_ tptp.member1285940496od_b_b @t100))
% 0.47/0.89  (define @t306 () (_ @t305 @t242))
% 0.47/0.89  (define @t307 () (@list @t242))
% 0.47/0.89  (define @t308 () (_ @t38 @t36))
% 0.47/0.89  (define @t309 () (_ @t58 @t56))
% 0.47/0.89  (define @t310 () (_ @t48 @t46))
% 0.47/0.89  (define @t311 () (_ tptp.member1652792080od_b_b @t310))
% 0.47/0.89  (define @t312 () (_ @t74 @t72))
% 0.47/0.89  (define @t313 () (_ tptp.member1285940496od_b_b @t312))
% 0.47/0.89  (define @t314 () (_ tptp.member327031898_a_nat @t267))
% 0.47/0.89  (define @t315 () (_ @t314 @t227))
% 0.47/0.89  (define @t316 () (_ tptp.member1285940496od_b_b @t273))
% 0.47/0.89  (define @t317 () (_ @t316 @t233))
% 0.47/0.89  (define @t318 () (_ tptp.member_b @t281))
% 0.47/0.89  (define @t319 () (_ @t318 @t240))
% 0.47/0.89  (define @t320 () (@var "X" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t321 () (@var "L2" tptp.a))
% 0.47/0.89  (define @t322 () (@var "L1" tptp.a))
% 0.47/0.89  (define @t323 () (= @t322 @t321))
% 0.47/0.89  (define @t324 () (@var "R" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t325 () (@var "V4" tptp.b))
% 0.47/0.89  (define @t326 () (@var "V2" tptp.b))
% 0.47/0.89  (define @t327 () (_ (_ tptp.member1285940496od_b_b (_ (_ tptp.product_Pair_b_b @t326) @t325)) @t324))
% 0.47/0.89  (define @t328 () (@var "V3" tptp.b))
% 0.47/0.89  (define @t329 () (@var "V1" tptp.b))
% 0.47/0.89  (define @t330 () (_ tptp.product_Pair_b_b @t329))
% 0.47/0.89  (define @t331 () (_ (_ tptp.member1285940496od_b_b (_ @t330 @t328)) @t324))
% 0.47/0.89  (define @t332 () (_ (_ tptp.product_Pair_b_b @t328) @t325))
% 0.47/0.89  (define @t333 () (_ (_ tptp.produc2135284224od_b_b @t321) @t332))
% 0.47/0.89  (define @t334 () (_ @t330 @t326))
% 0.47/0.89  (define @t335 () (_ (_ tptp.produc2135284224od_b_b @t322) @t334))
% 0.47/0.89  (define @t336 () (_ (_ tptp.member1694913744od_b_b (_ (_ tptp.produc1037687191od_b_b @t335) @t333)) (_ tptp.on_triple_b_b_a @t324)))
% 0.47/0.89  (define @t337 () (@list @t322 @t329 @t326 @t321 @t328 @t325 @t324))
% 0.47/0.89  (define @t338 () (@var "R" tptp.set_Pr471017666_nat_b))
% 0.47/0.89  (define @t339 () (@var "V2" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t340 () (_ (_ tptp.member1885627811_nat_b (_ (_ tptp.produc1600512702_nat_b @t339) @t325)) @t338))
% 0.47/0.89  (define @t341 () (@var "V1" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t342 () (_ (_ tptp.member1885627811_nat_b (_ (_ tptp.produc1600512702_nat_b @t341) @t328)) @t338))
% 0.47/0.89  (define @t343 () (_ tptp.produc2000589545_a_nat @t341))
% 0.47/0.89  (define @t344 () (_ @t343 @t339))
% 0.47/0.89  (define @t345 () (_ (_ tptp.member442676358od_b_b (_ (_ tptp.produc179745357od_b_b (_ (_ tptp.produc1110849866_a_nat @t322) @t344)) @t333)) (_ tptp.on_tri1993240081at_b_a @t338)))
% 0.47/0.89  (define @t346 () (@list @t322 @t341 @t339 @t321 @t328 @t325 @t338))
% 0.47/0.89  (define @t347 () (@var "R" tptp.set_Pr357419743_b_b_b))
% 0.47/0.89  (define @t348 () (@var "V2" tptp.product_prod_b_b))
% 0.47/0.89  (define @t349 () (_ (_ tptp.member351494440_b_b_b (_ (_ tptp.produc1001682799_b_b_b @t348) @t325)) @t347))
% 0.47/0.89  (define @t350 () (@var "V1" tptp.product_prod_b_b))
% 0.47/0.89  (define @t351 () (_ (_ tptp.member351494440_b_b_b (_ (_ tptp.produc1001682799_b_b_b @t350) @t328)) @t347))
% 0.47/0.89  (define @t352 () (_ (_ tptp.produc546497367od_b_b @t350) @t348))
% 0.47/0.89  (define @t353 () (_ (_ tptp.member1023210704od_b_b (_ (_ tptp.produc1116925335od_b_b (_ (_ tptp.produc690925568od_b_b @t322) @t352)) @t333)) (_ tptp.on_tri1764442556_b_b_a @t347)))
% 0.47/0.89  (define @t354 () (@list @t322 @t350 @t348 @t321 @t328 @t325 @t347))
% 0.47/0.89  (define @t355 () (@var "L2" tptp.product_prod_b_b))
% 0.47/0.89  (define @t356 () (@var "L1" tptp.product_prod_b_b))
% 0.47/0.89  (define @t357 () (= @t356 @t355))
% 0.47/0.89  (define @t358 () (_ (_ tptp.produc546497367od_b_b @t355) @t332))
% 0.47/0.89  (define @t359 () (_ (_ tptp.produc546497367od_b_b @t356) @t334))
% 0.47/0.89  (define @t360 () (_ (_ tptp.member1829919504od_b_b (_ (_ tptp.produc1403229015od_b_b @t359) @t358)) (_ tptp.on_tri111564221od_b_b @t324)))
% 0.47/0.89  (define @t361 () (@list @t356 @t329 @t326 @t355 @t328 @t325 @t324))
% 0.47/0.89  (define @t362 () (@var "R" tptp.set_Pr2010644300_a_nat))
% 0.47/0.89  (define @t363 () (@var "V4" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t364 () (_ (_ tptp.member763519277_a_nat (_ (_ tptp.produc1311571856_a_nat @t326) @t363)) @t362))
% 0.47/0.89  (define @t365 () (@var "V3" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t366 () (_ (_ tptp.member763519277_a_nat (_ (_ tptp.produc1311571856_a_nat @t329) @t365)) @t362))
% 0.47/0.89  (define @t367 () (_ (_ tptp.produc2000589545_a_nat @t365) @t363))
% 0.47/0.89  (define @t368 () (_ (_ tptp.member817785114_a_nat (_ (_ tptp.produc966067681_a_nat @t335) (_ (_ tptp.produc1110849866_a_nat @t321) @t367))) (_ tptp.on_tri2117183935_nat_a @t362)))
% 0.47/0.89  (define @t369 () (@list @t322 @t329 @t326 @t321 @t365 @t363 @t362))
% 0.47/0.89  (define @t370 () (@var "R" tptp.set_Pr621705391od_b_b))
% 0.47/0.89  (define @t371 () (@var "V4" tptp.product_prod_b_b))
% 0.47/0.89  (define @t372 () (_ (_ tptp.member641857272od_b_b (_ (_ tptp.produc1257047359od_b_b @t326) @t371)) @t370))
% 0.47/0.89  (define @t373 () (@var "V3" tptp.product_prod_b_b))
% 0.47/0.89  (define @t374 () (_ (_ tptp.member641857272od_b_b (_ (_ tptp.produc1257047359od_b_b @t329) @t373)) @t370))
% 0.47/0.89  (define @t375 () (_ (_ tptp.produc546497367od_b_b @t373) @t371))
% 0.47/0.89  (define @t376 () (_ (_ tptp.member962139856od_b_b (_ (_ tptp.produc789452695od_b_b @t335) (_ (_ tptp.produc690925568od_b_b @t321) @t375))) (_ tptp.on_tri2003683308_b_b_a @t370)))
% 0.47/0.89  (define @t377 () (@list @t322 @t329 @t326 @t321 @t373 @t371 @t370))
% 0.47/0.89  (define @t378 () (_ (_ tptp.member670041670od_b_b (_ (_ tptp.produc926922637od_b_b (_ (_ tptp.produc90796321_a_nat @t356) @t344)) @t358)) (_ tptp.on_tri1706508026od_b_b @t338)))
% 0.47/0.89  (define @t379 () (@list @t356 @t341 @t339 @t355 @t328 @t325 @t338))
% 0.47/0.89  (define @t380 () (_ (_ tptp.member178477328od_b_b (_ (_ tptp.produc885982551od_b_b (_ (_ tptp.produc1850071895od_b_b @t356) @t352)) @t358)) (_ tptp.on_tri97791909od_b_b @t347)))
% 0.47/0.89  (define @t381 () (@list @t356 @t350 @t348 @t355 @t328 @t325 @t347))
% 0.47/0.89  (define @t382 () (_ (_ tptp.member1769525082_a_nat (_ (_ tptp.produc1783652257_a_nat @t359) (_ (_ tptp.produc90796321_a_nat @t355) @t367))) (_ tptp.on_tri1837931688od_b_b @t362)))
% 0.47/0.89  (define @t383 () (@list @t356 @t329 @t326 @t355 @t365 @t363 @t362))
% 0.47/0.89  (define @t384 () (_ (_ tptp.member1432657168od_b_b (_ (_ tptp.produc962089303od_b_b @t359) (_ (_ tptp.produc1850071895od_b_b @t355) @t375))) (_ tptp.on_tri927008213od_b_b @t370)))
% 0.47/0.89  (define @t385 () (@list @t356 @t329 @t326 @t355 @t373 @t371 @t370))
% 0.47/0.89  (define @t386 () (@var "R" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t387 () (_ (_ tptp.maintained_a_nat_b @t386) @t162))
% 0.47/0.89  (define @t388 () (@list @t233 @t237))
% 0.47/0.89  (define @t389 () (@list @t227 @t231))
% 0.47/0.89  (define @t390 () (_ tptp.idempo848975736_a_nat @t225))
% 0.47/0.89  (define @t391 () (_ tptp.idempotent_b @t242))
% 0.47/0.89  (define @t392 () (@list @t240 @t242))
% 0.47/0.89  (define @t393 () (@var "I" tptp.a))
% 0.47/0.89  (define @t394 () (_ tptp.member327031898_a_nat @t90))
% 0.47/0.89  (define @t395 () (_ @t394 (_ (_ tptp.insert2058869377_a_nat (_ tptp.standa1329480012rule_a @t393)) (_ (_ tptp.insert2058869377_a_nat (_ tptp.standa390703484rule_a @t393)) (_ (_ tptp.insert2058869377_a_nat (_ tptp.standa709637829rule_a @t393)) tptp.bot_bo2066531197_a_nat)))))
% 0.47/0.89  (define @t396 () (@list @t90))
% 0.47/0.89  (define @t397 () (@var "P2" (-> tptp.set_Pr1912306449_a_nat Bool)))
% 0.47/0.89  (define @t398 () (@var "P2" (-> tptp.set_Product_prod_b_b Bool)))
% 0.47/0.89  (define @t399 () (@var "P2" (-> tptp.set_b Bool)))
% 0.47/0.89  (define @t400 () (@var "P2" (-> tptp.b Bool)))
% 0.47/0.89  (define @t401 () (_ tptp.collec978177436_a_nat @t103))
% 0.47/0.89  (define @t402 () (_ tptp.collec1481886546od_b_b @t129))
% 0.47/0.89  (define @t403 () (@var "X5" tptp.produc1168037607od_b_b))
% 0.47/0.89  (define @t404 () (@var "X5" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t405 () (@var "X5" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t406 () (@var "X5" tptp.set_b))
% 0.47/0.89  (define @t407 () (@var "X5" tptp.b))
% 0.47/0.89  (define @t408 () (_ tptp.member_b @t407))
% 0.47/0.89  (define @t409 () (@list @t407))
% 0.47/0.89  (define @t410 () (@list @t240))
% 0.47/0.89  (define @t411 () (@var "X5" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t412 () (_ tptp.member327031898_a_nat @t411))
% 0.47/0.89  (define @t413 () (_ @t412 @t227))
% 0.47/0.89  (define @t414 () (@list @t411))
% 0.47/0.89  (define @t415 () (@list @t227))
% 0.47/0.89  (define @t416 () (@var "X5" tptp.product_prod_b_b))
% 0.47/0.89  (define @t417 () (_ tptp.member1285940496od_b_b @t416))
% 0.47/0.89  (define @t418 () (_ @t417 @t233))
% 0.47/0.89  (define @t419 () (@list @t416))
% 0.47/0.89  (define @t420 () (@list @t233))
% 0.47/0.89  (define @t421 () (@var "Q" (-> tptp.product_prod_b_b Bool)))
% 0.47/0.89  (define @t422 () (@list @t84))
% 0.47/0.89  (define @t423 () (@var "Q" (-> tptp.produc598811825_a_nat Bool)))
% 0.47/0.89  (define @t424 () (@var "A4" tptp.labeled_graph_a_b))
% 0.47/0.89  (define @t425 () (_ tptp.labeled_vertices_a_b @t424))
% 0.47/0.89  (define @t426 () (@var "E" tptp.allegorical_term_a))
% 0.47/0.89  (define @t427 () (_ @t170 (_ (_ tptp.semantics_a_b @t424) @t426)))
% 0.47/0.89  (define @t428 () (= @t424 (_ tptp.restrict_a_b @t424)))
% 0.47/0.89  (define @t429 () (@list @t424 @t72 @t69 @t426))
% 0.47/0.89  (define @t430 () (_ tptp.insert1952693431od_b_b @t273))
% 0.47/0.89  (define @t431 () (_ @t430 tptp.bot_bo1343651123od_b_b))
% 0.47/0.89  (define @t432 () (_ (_ tptp.insert1952693431od_b_b (_ @t282 @t281)) tptp.bot_bo1343651123od_b_b))
% 0.47/0.89  (define @t433 () (_ tptp.insert_b @t281))
% 0.47/0.89  (define @t434 () (_ @t433 tptp.bot_bot_set_b))
% 0.47/0.89  (define @t435 () (@list @t281))
% 0.47/0.89  (define @t436 () (_ (_ tptp.insert2058869377_a_nat (_ @t263 @t262)) tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (define @t437 () (_ (_ tptp.insert1337853464_a_nat @t262) tptp.bot_bo1119737266_a_nat))
% 0.47/0.89  (define @t438 () (@list @t262))
% 0.47/0.89  (define @t439 () (_ (_ tptp.insert354391607_a_nat (_ @t268 @t267)) tptp.bot_bo1803599795_a_nat))
% 0.47/0.89  (define @t440 () (_ tptp.insert2058869377_a_nat @t267))
% 0.47/0.89  (define @t441 () (_ @t440 tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (define @t442 () (@list @t267))
% 0.47/0.89  (define @t443 () (@list @t46))
% 0.47/0.89  (define @t444 () (@list @t56))
% 0.47/0.89  (define @t445 () (= @t321 @t322))
% 0.47/0.89  (define @t446 () (= @t355 @t356))
% 0.47/0.89  (define @t447 () (@var "R" tptp.set_Pr1870121716_a_nat))
% 0.47/0.89  (define @t448 () (@var "V3" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t449 () (@var "V4" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t450 () (_ (_ tptp.produc410388695_a_nat @t448) @t449))
% 0.47/0.89  (define @t451 () (@var "L2" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t452 () (@var "L1" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t453 () (_ (_ tptp.produc410388695_a_nat @t452) @t344))
% 0.47/0.89  (define @t454 () (@var "R" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t455 () (@var "R" tptp.set_Pr352593785_a_nat))
% 0.47/0.89  (define @t456 () (_ tptp.insert1952693431od_b_b @t46))
% 0.47/0.89  (define @t457 () (_ @t456 tptp.bot_bo1343651123od_b_b))
% 0.47/0.89  (define @t458 () (_ tptp.insert2058869377_a_nat @t56))
% 0.47/0.89  (define @t459 () (_ @t458 tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (define @t460 () (@var "B4" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t461 () (_ tptp.insert2058869377_a_nat @t53))
% 0.47/0.89  (define @t462 () (_ @t461 @t460))
% 0.47/0.89  (define @t463 () (_ @t229 @t462))
% 0.47/0.89  (define @t464 () (= @t56 @t53))
% 0.47/0.89  (define @t465 () (_ @t229 @t460))
% 0.47/0.89  (define @t466 () (@list @t56 @t460 @t53))
% 0.47/0.89  (define @t467 () (@var "B4" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t468 () (_ tptp.insert1952693431od_b_b @t43))
% 0.47/0.89  (define @t469 () (_ @t468 @t467))
% 0.47/0.89  (define @t470 () (_ @t235 @t469))
% 0.47/0.89  (define @t471 () (= @t46 @t43))
% 0.47/0.89  (define @t472 () (_ @t235 @t467))
% 0.47/0.89  (define @t473 () (@list @t46 @t467 @t43))
% 0.47/0.89  (define @t474 () (_ @t229 (_ @t461 @t227)))
% 0.47/0.89  (define @t475 () (@list @t56 @t53 @t227))
% 0.47/0.89  (define @t476 () (_ @t235 (_ @t468 @t233)))
% 0.47/0.89  (define @t477 () (@list @t46 @t43 @t233))
% 0.47/0.89  (define @t478 () (_ @t440 @t227))
% 0.47/0.89  (define @t479 () (@list @t267 @t227))
% 0.47/0.89  (define @t480 () (@var "C2" tptp.product_prod_b_b))
% 0.47/0.89  (define @t481 () (_ tptp.member1285940496od_b_b @t480))
% 0.47/0.89  (define @t482 () (@var "C2" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t483 () (= @t233 tptp.bot_bo1343651123od_b_b))
% 0.47/0.89  (define @t484 () (= @t227 tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (define @t485 () (forall @t414 (not (_ @t103 @t411))))
% 0.47/0.89  (define @t486 () (= @t401 tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (define @t487 () (@list @t103))
% 0.47/0.89  (define @t488 () (not @t483))
% 0.47/0.89  (define @t489 () (not @t484))
% 0.47/0.89  (define @t490 () (_ (_ tptp.member1285940496od_b_b @t83) @t233))
% 0.47/0.89  (define @t491 () (_ (_ tptp.member327031898_a_nat @t89) @t227))
% 0.47/0.89  (define @t492 () (not @t236))
% 0.47/0.89  (define @t493 () (not @t230))
% 0.47/0.89  (define @t494 () (@var "B5" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t495 () (@list @t494))
% 0.47/0.89  (define @t496 () (@list @t56 @t227))
% 0.47/0.89  (define @t497 () (@var "B5" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t498 () (@list @t497))
% 0.47/0.89  (define @t499 () (@list @t46 @t233))
% 0.47/0.89  (define @t500 () (_ tptp.insert2058869377_a_nat @t157))
% 0.47/0.89  (define @t501 () (@var "C3" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t502 () (not @t464))
% 0.47/0.89  (define @t503 () (= @t227 @t460))
% 0.47/0.89  (define @t504 () (_ @t458 @t227))
% 0.47/0.89  (define @t505 () (@var "C3" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t506 () (not @t471))
% 0.47/0.89  (define @t507 () (= @t233 @t467))
% 0.47/0.89  (define @t508 () (_ @t456 @t233))
% 0.47/0.89  (define @t509 () (_ @t440 @t460))
% 0.47/0.89  (define @t510 () (_ @t314 @t460))
% 0.47/0.89  (define @t511 () (not @t315))
% 0.47/0.89  (define @t512 () (@list @t267 @t227 @t460))
% 0.47/0.89  (define @t513 () (_ @t430 @t467))
% 0.47/0.89  (define @t514 () (_ @t430 @t233))
% 0.47/0.89  (define @t515 () (_ @t316 @t467))
% 0.47/0.89  (define @t516 () (not @t317))
% 0.47/0.89  (define @t517 () (@list @t273 @t233 @t467))
% 0.47/0.89  (define @t518 () (_ @t458 @t460))
% 0.47/0.89  (define @t519 () (_ @t461 tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (define @t520 () (@var "D" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t521 () (= @t43 @t46))
% 0.47/0.89  (define @t522 () (_ @t234 @t457))
% 0.47/0.89  (define @t523 () (@list @t43 @t46))
% 0.47/0.89  (define @t524 () (= @t53 @t56))
% 0.47/0.89  (define @t525 () (_ @t228 @t459))
% 0.47/0.89  (define @t526 () (@list @t53 @t56))
% 0.47/0.89  (define @t527 () (@var "C2" tptp.b))
% 0.47/0.89  (define @t528 () (_ tptp.product_Pair_b_b @t69))
% 0.47/0.89  (define @t529 () (_ (_ tptp.labeled_LG_a_b (_ (_ tptp.insert1655137376od_b_b (_ @t65 (_ @t528 @t527))) tptp.bot_bo519661404od_b_b)) (_ (_ tptp.insert_b @t69) (_ (_ tptp.insert_b @t527) tptp.bot_bot_set_b))))
% 0.47/0.89  (define @t530 () (@var "V" tptp.set_b))
% 0.47/0.89  (define @t531 () (_ (_ tptp.labeled_LG_a_b tptp.bot_bo519661404od_b_b) @t530))
% 0.47/0.89  (define @t532 () (_ tptp.sym_b @t242))
% 0.47/0.89  (define @t533 () (= @t84 @t83))
% 0.47/0.89  (define @t534 () (_ tptp.member1285940496od_b_b @t84))
% 0.47/0.89  (define @t535 () (_ @t534 @t233))
% 0.47/0.89  (define @t536 () (_ (_ tptp.member_b @t98) @t240))
% 0.47/0.89  (define @t537 () (@var "X2" tptp.set_b))
% 0.47/0.89  (define @t538 () (@var "X1" tptp.set_Pr1900477680od_b_b))
% 0.47/0.89  (define @t539 () (_ tptp.is_sin1787449765_a_nat @t227))
% 0.47/0.89  (define @t540 () (_ @t394 @t227))
% 0.47/0.89  (define @t541 () (@var "A5" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t542 () (@list @t541))
% 0.47/0.89  (define @t543 () (_ tptp.equiv_equiv_b @t240))
% 0.47/0.89  (define @t544 () (_ @t543 @t242))
% 0.47/0.89  (define @t545 () (@var "F" tptp.set_Pr1914572181_nat_b))
% 0.47/0.89  (define @t546 () (@var "B4" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t547 () (@var "A4" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t548 () (_ (_ tptp.produc2000589545_a_nat @t547) @t546))
% 0.47/0.89  (define @t549 () (_ (_ tptp.maintained_a_nat_b @t548) @t162))
% 0.47/0.89  (define @t550 () (@var "F2" tptp.set_Pr2106913242_nat_b))
% 0.47/0.89  (define @t551 () (_ (_ tptp.extensible_a_nat_b @t548) @t162))
% 0.47/0.89  (define @t552 () (_ (_ tptp.graph_914848022_nat_b @t547) @t162))
% 0.47/0.89  (define @t553 () (@var "F" tptp.set_Pr2106913242_nat_b))
% 0.47/0.89  (define @t554 () (_ @t552 @t553))
% 0.47/0.89  (define @t555 () (@list @t547 @t546 @t162 @t553))
% 0.47/0.89  (define @t556 () (_ (_ tptp.equiv_1125628061od_b_b @t233) @t237))
% 0.47/0.89  (define @t557 () (_ (_ tptp.insert_b @t278) tptp.bot_bot_set_b))
% 0.47/0.89  (define @t558 () (_ @t500 tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (define @t559 () (_ (_ tptp.equiv_281634663_a_nat @t227) @t231))
% 0.47/0.89  (define @t560 () (_ (_ tptp.equiv_1338033912_a_nat @t227) @t231))
% 0.47/0.89  (define @t561 () (@var "X6" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t562 () (_ @t316 @t561))
% 0.47/0.89  (define @t563 () (_ (_ tptp.equiv_1530858158od_b_b @t233) @t237))
% 0.47/0.89  (define @t564 () (_ (_ tptp.member1050118384od_b_b @t561) @t563))
% 0.47/0.89  (define @t565 () (@var "X6" tptp.set_b))
% 0.47/0.89  (define @t566 () (_ @t318 @t565))
% 0.47/0.89  (define @t567 () (_ tptp.equiv_quotient_b @t240))
% 0.47/0.89  (define @t568 () (_ @t567 @t242))
% 0.47/0.89  (define @t569 () (_ (_ tptp.member_set_b @t565) @t568))
% 0.47/0.89  (define @t570 () (@list @t240 @t242 @t565 @t281 @t278))
% 0.47/0.89  (define @t571 () (@var "Y6" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t572 () (= @t561 @t571))
% 0.47/0.89  (define @t573 () (_ @t271 @t571))
% 0.47/0.89  (define @t574 () (_ (_ tptp.member1050118384od_b_b @t571) @t563))
% 0.47/0.89  (define @t575 () (@list @t233 @t237 @t561 @t571 @t273 @t158))
% 0.47/0.89  (define @t576 () (@var "Y6" tptp.set_b))
% 0.47/0.89  (define @t577 () (= @t565 @t576))
% 0.47/0.89  (define @t578 () (_ @t279 @t576))
% 0.47/0.89  (define @t579 () (_ (_ tptp.member_set_b @t576) @t568))
% 0.47/0.89  (define @t580 () (@list @t240 @t242 @t565 @t576 @t281 @t278))
% 0.47/0.89  (define @t581 () (@list @t240 @t242 @t565))
% 0.47/0.89  (define @t582 () (@var "X6" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t583 () (= @t582 tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (define @t584 () (_ (_ tptp.member101535418_a_nat @t582) @t560))
% 0.47/0.89  (define @t585 () (_ tptp.ord_less_eq_set_b (_ @t433 @t557)))
% 0.47/0.89  (define @t586 () (_ tptp.ord_le1374266033_a_nat (_ @t440 @t558)))
% 0.47/0.89  (define @t587 () (@var "R" (-> tptp.b tptp.set_Product_prod_b_b)))
% 0.47/0.89  (define @t588 () (@var "Y7" tptp.b))
% 0.47/0.89  (define @t589 () (@var "G2" tptp.labeled_graph_a_b))
% 0.47/0.89  (define @t590 () (_ tptp.id_on_b @t163))
% 0.47/0.89  (define @t591 () (_ tptp.graph_1322245399_a_b_b @t162))
% 0.47/0.89  (define @t592 () (_ tptp.ord_le1036320359od_b_b @t233))
% 0.47/0.89  (define @t593 () (_ @t592 @t467))
% 0.47/0.89  (define @t594 () (_ tptp.ord_le1374266033_a_nat tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (define @t595 () (_ tptp.ord_le1374266033_a_nat @t227))
% 0.47/0.89  (define @t596 () (_ @t595 tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (define @t597 () (_ @t595 @t460))
% 0.47/0.89  (define @t598 () (_ tptp.id_on_2019020932od_b_b @t233))
% 0.47/0.89  (define @t599 () (_ tptp.id_on_b @t240))
% 0.47/0.89  (define @t600 () (and @t464 (_ @t595 @t519)))
% 0.47/0.89  (define @t601 () (@var "A" tptp.labeled_graph_a_b))
% 0.47/0.89  (define @t602 () (_ tptp.restrict_a_b @t601))
% 0.47/0.89  (define @t603 () (@var "G_2" tptp.labeled_graph_a_b))
% 0.47/0.89  (define @t604 () (_ tptp.labeled_vertices_a_b @t603))
% 0.47/0.89  (define @t605 () (@var "G_1" tptp.labeled_graph_a_b))
% 0.47/0.89  (define @t606 () (_ tptp.labeled_vertices_a_b @t605))
% 0.47/0.89  (define @t607 () (_ (_ tptp.ord_less_eq_set_b @t606) @t604))
% 0.47/0.89  (define @t608 () (_ tptp.id_on_b @t606))
% 0.47/0.89  (define @t609 () (_ tptp.graph_1322245399_a_b_b @t605))
% 0.47/0.89  (define @t610 () (_ (_ @t609 @t603) @t608))
% 0.47/0.89  (define @t611 () (@list @t605 @t603))
% 0.47/0.89  (define @t612 () (@var "C2" tptp.produc1168037607od_b_b))
% 0.47/0.89  (define @t613 () (@list @t98))
% 0.47/0.89  (define @t614 () (= @t201 tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (define @t615 () (_ (_ tptp.ord_le1374266033_a_nat @t201) tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (define @t616 () (@list @t201))
% 0.47/0.89  (define @t617 () (@var "S" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t618 () (@var "D2" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t619 () (@var "C4" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t620 () (@var "B6" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t621 () (@var "A5" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t622 () (@list @t621 @t620))
% 0.47/0.89  (define @t623 () (_ tptp.ord_le1374266033_a_nat @t582))
% 0.47/0.89  (define @t624 () (@var "G_3" tptp.labeled_graph_a_b))
% 0.47/0.89  (define @t625 () (@var "G3" tptp.set_Pr2106913242_nat_b))
% 0.47/0.89  (define @t626 () (@var "B4" tptp.labeled_graph_a_b))
% 0.47/0.89  (define @t627 () (_ tptp.equiv_proj_b_b @t242))
% 0.47/0.89  (define @t628 () (_ @t627 @t281))
% 0.47/0.89  (define @t629 () (_ tptp.equiv_1873824970_a_nat @t231))
% 0.47/0.89  (define @t630 () (@var "Rs" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t631 () (@var "S2" tptp.b))
% 0.47/0.89  (define @t632 () (@var "R2" tptp.b))
% 0.47/0.89  (define @t633 () (_ tptp.product_Pair_b_b @t632))
% 0.47/0.89  (define @t634 () (@var "S" tptp.b))
% 0.47/0.89  (define @t635 () (_ (_ tptp.graph_union_a_b @t605) @t603))
% 0.47/0.89  (define @t636 () (= @t635 @t603))
% 0.47/0.89  (define @t637 () (= @t603 (_ tptp.restrict_a_b @t603)))
% 0.47/0.89  (define @t638 () (_ tptp.restrict_a_b @t605))
% 0.47/0.89  (define @t639 () (= @t605 @t638))
% 0.47/0.89  (define @t640 () (@var "X" tptp.set_b))
% 0.47/0.89  (define @t641 () (@var "F" (-> tptp.b tptp.product_prod_b_b)))
% 0.47/0.89  (define @t642 () (_ tptp.labeled_edges_a_b @t603))
% 0.47/0.89  (define @t643 () (_ (_ tptp.ord_le887919760od_b_b (_ tptp.labeled_edges_a_b @t605)) @t642))
% 0.47/0.89  (define @t644 () (@var "Labeled_graph" tptp.labeled_graph_a_b))
% 0.47/0.89  (define @t645 () (_ tptp.labeled_vertices_a_b @t644))
% 0.47/0.89  (define @t646 () (_ tptp.labeled_edges_a_b @t644))
% 0.47/0.89  (define @t647 () (_ (_ tptp.labeled_LG_a_b @t646) @t645))
% 0.47/0.89  (define @t648 () (@list @t644))
% 0.47/0.89  (define @t649 () (@var "Labeled_graph2" tptp.labeled_graph_a_b))
% 0.47/0.89  (define @t650 () (_ (_ tptp.product_Pair_b_b tptp.z) tptp.y))
% 0.47/0.89  (define @t651 () (_ (_ tptp.member1285940496od_b_b @t650) @t1))
% 0.47/0.89  (define @t652 () (not @t651))
% 0.47/0.89  (define @t653 () (@var "R3" tptp.set_Pr1912306449_a_nat))
% 0.47/0.89  (define @t654 () (@var "Z3" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t655 () (@var "X5" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t656 () (_ tptp.produc2000589545_a_nat @t655))
% 0.47/0.89  (define @t657 () (@var "Y5" tptp.labeled_graph_a_nat))
% 0.47/0.89  (define @t658 () (lambda (@list @t653) (forall (@list @t655 @t657 @t654) (=> (_ (_ tptp.member327031898_a_nat (_ @t656 @t657)) @t653) (=> (_ (_ tptp.member327031898_a_nat (_ (_ tptp.produc2000589545_a_nat @t657) @t654)) @t653) (_ (_ tptp.member327031898_a_nat (_ @t656 @t654)) @t653))))))
% 0.47/0.89  (define @t659 () (@var "R3" tptp.set_Pr2007082183od_b_b))
% 0.47/0.89  (define @t660 () (@var "Z3" tptp.product_prod_b_b))
% 0.47/0.89  (define @t661 () (_ tptp.produc546497367od_b_b @t416))
% 0.47/0.89  (define @t662 () (@var "Y5" tptp.product_prod_b_b))
% 0.47/0.89  (define @t663 () (lambda (@list @t659) (forall (@list @t416 @t662 @t660) (=> (_ (_ tptp.member1652792080od_b_b (_ @t661 @t662)) @t659) (=> (_ (_ tptp.member1652792080od_b_b (_ (_ tptp.produc546497367od_b_b @t662) @t660)) @t659) (_ (_ tptp.member1652792080od_b_b (_ @t661 @t660)) @t659))))))
% 0.47/0.89  (define @t664 () (@var "R3" tptp.set_Pr2074180935_a_nat))
% 0.47/0.89  (define @t665 () (@var "Z3" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t666 () (_ tptp.produc410388695_a_nat @t411))
% 0.47/0.89  (define @t667 () (@var "Y5" tptp.produc598811825_a_nat))
% 0.47/0.89  (define @t668 () (lambda (@list @t664) (forall (@list @t411 @t667 @t665) (=> (_ (_ tptp.member1542696848_a_nat (_ @t666 @t667)) @t664) (=> (_ (_ tptp.member1542696848_a_nat (_ (_ tptp.produc410388695_a_nat @t667) @t665)) @t664) (_ (_ tptp.member1542696848_a_nat (_ @t666 @t665)) @t664))))))
% 0.47/0.89  (define @t669 () (@var "R3" tptp.set_Product_prod_b_b))
% 0.47/0.89  (define @t670 () (@var "Z3" tptp.b))
% 0.47/0.89  (define @t671 () (_ tptp.product_Pair_b_b @t407))
% 0.47/0.89  (define @t672 () (@var "Y5" tptp.b))
% 0.47/0.89  (define @t673 () (_ tptp.product_Pair_b_b @t672))
% 0.47/0.89  (define @t674 () (_ (_ tptp.member1285940496od_b_b (_ @t671 @t672)) @t669))
% 0.47/0.89  (define @t675 () (@list @t669))
% 0.47/0.89  (define @t676 () (lambda @t675 (forall (@list @t407 @t672 @t670) (=> @t674 (=> (_ (_ tptp.member1285940496od_b_b (_ @t673 @t670)) @t669) (_ (_ tptp.member1285940496od_b_b (_ @t671 @t670)) @t669))))))
% 0.47/0.89  (define @t677 () (lambda (@list @t621 @t659) (and (_ (_ tptp.refl_o2134473190od_b_b @t621) @t659) (_ tptp.trans_1808857926od_b_b @t659))))
% 0.47/0.89  (define @t678 () (lambda (@list @t541 @t664) (and (_ (_ tptp.refl_o206400048_a_nat @t541) @t664) (_ tptp.trans_444496784_a_nat @t664))))
% 0.47/0.89  (define @t679 () (@var "A5" tptp.set_la1108361502_a_nat))
% 0.47/0.89  (define @t680 () (lambda (@list @t679 @t653) (and (_ (_ tptp.refl_o1018941609_a_nat @t679) @t653) (_ tptp.trans_1002055497_a_nat @t653))))
% 0.47/0.89  (define @t681 () (_ tptp.trans_b @t669))
% 0.47/0.89  (define @t682 () (@var "A5" tptp.set_b))
% 0.47/0.89  (define @t683 () (_ (_ tptp.refl_on_b @t682) @t669))
% 0.47/0.89  (define @t684 () (@list @t682 @t669))
% 0.47/0.89  (define @t685 () (lambda @t684 (and @t683 @t681)))
% 0.47/0.89  (define @t686 () (lambda @t419 (_ @t417 tptp.bot_bo1343651123od_b_b)))
% 0.47/0.89  (define @t687 () (lambda @t414 (_ @t412 tptp.bot_bo2066531197_a_nat)))
% 0.47/0.89  (define @t688 () (_ (_ tptp.member1285940496od_b_b (_ @t673 @t407)) @t669))
% 0.47/0.89  (define @t689 () (lambda @t675 (forall (@list @t407 @t672) (=> @t674 @t688))))
% 0.47/0.89  (define @t690 () (lambda @t684 (forall @t409 (=> (_ @t408 @t682) (forall (@list @t672) (=> (_ (_ tptp.member_b @t672) @t682) (=> (not (= @t407 @t672)) (or @t674 @t688))))))))
% 0.47/0.89  (define @t691 () (lambda @t542 (= @t541 (_ (_ tptp.insert2058869377_a_nat (_ tptp.the_el537460006_a_nat @t541)) tptp.bot_bo2066531197_a_nat))))
% 0.47/0.89  (define @t692 () (lambda @t684 (and @t683 (_ tptp.sym_b @t669) @t681)))
% 0.47/0.89  (define @t693 () (lambda @t542 (= @t541 tptp.bot_bo2066531197_a_nat)))
% 0.47/0.89  (define @t694 () (@var "T" tptp.product_prod_b_b))
% 0.47/0.89  (define @t695 () (_ tptp.member1285940496od_b_b @t694))
% 0.47/0.89  (define @t696 () (lambda @t622 (forall (@list @t694) (=> (_ @t695 @t621) (_ @t695 @t620)))))
% 0.47/0.89  (define @t697 () (tptp.getRel_a_b tptp.i tptp.g))
% 0.47/0.89  (define @t698 () (tptp.product_Pair_b_b @t3 @t2))
% 0.47/0.89  (define @t699 () (tptp.member1285940496od_b_b @t698 @t697))
% 0.47/0.89  (define @t700 () (tptp.product_Pair_b_b @t2 @t3))
% 0.47/0.89  (define @t701 () (tptp.member1285940496od_b_b @t700 @t697))
% 0.47/0.89  (define @t702 () (not @t7))
% 0.47/0.89  (define @t703 () (or @t702 @t5))
% 0.47/0.89  (define @t704 () (tptp.product_Pair_b_b tptp.y tptp.z))
% 0.47/0.89  (define @t705 () (tptp.member1285940496od_b_b @t704 @t697))
% 0.47/0.89  (define @t706 () (tptp.product_Pair_b_b tptp.z tptp.y))
% 0.47/0.89  (define @t707 () (tptp.member1285940496od_b_b @t706 @t697))
% 0.47/0.89  (define @t708 () (not @t705))
% 0.47/0.89  (define @t709 () (or @t708 @t707))
% 0.47/0.89  (define @t710 () (not @t709))
% 0.47/0.89  (define @t711 () (@list true false))
% 0.47/0.89  (define @t712 () (forall @t8 (or (not @t701) @t699)))
% 0.47/0.89  (assume @p1 (and (_ (_ tptp.refl_on_b @t10) @t1) @t9 (_ tptp.trans_b @t1)))
% 0.47/0.89  (assume @p2 @t12)
% 0.47/0.89  (assume @p3 (= tptp.g (_ tptp.restrict_a_b tptp.g)))
% 0.47/0.89  (assume @p4 (_ (_ tptp.maintained_a_nat_b (_ (_ tptp.standa414753934rule_a tptp.i) tptp.l)) tptp.g))
% 0.47/0.89  (assume @p5 (_ (_ tptp.equiv_equiv_b @t10) @t1))
% 0.47/0.89  (assume @p6 (forall (@list @t16 @t14 @t15 @t13) (= (= (_ (_ tptp.produc2000589545_a_nat @t16) @t14) (_ (_ tptp.produc2000589545_a_nat @t15) @t13)) (and (= @t16 @t15) (= @t14 @t13)))))
% 0.47/0.89  (assume @p7 (forall (@list @t21 @t18 @t20 @t17) (= (= (_ (_ tptp.produc546497367od_b_b @t21) @t18) (_ (_ tptp.produc546497367od_b_b @t20) @t17)) (and (= @t21 @t20) @t19))))
% 0.47/0.89  (assume @p8 (forall (@list @t25 @t23 @t24 @t22) (= (= (_ (_ tptp.produc410388695_a_nat @t25) @t23) (_ (_ tptp.produc410388695_a_nat @t24) @t22)) (and (= @t25 @t24) (= @t23 @t22)))))
% 0.47/0.89  (assume @p9 (forall (@list @t27 @t18 @t26 @t17) (= (= (_ (_ tptp.produc2135284224od_b_b @t27) @t18) (_ (_ tptp.produc2135284224od_b_b @t26) @t17)) (and (= @t27 @t26) @t19))))
% 0.47/0.89  (assume @p10 (forall (@list @t31 @t29 @t30 @t28) (= (= (_ (_ tptp.product_Pair_b_b @t31) @t29) (_ (_ tptp.product_Pair_b_b @t30) @t28)) (and (= @t31 @t30) (= @t29 @t28)))))
% 0.47/0.89  (assume @p11 (forall @t41 (= @t40 (and @t37 @t34))))
% 0.47/0.89  (assume @p12 (forall @t51 (= @t50 (and @t47 @t44))))
% 0.47/0.89  (assume @p13 (forall @t61 (= @t60 (and @t57 @t54))))
% 0.47/0.89  (assume @p14 (forall @t67 (= @t66 (and @t64 @t44))))
% 0.47/0.89  (assume @p15 (forall @t77 (= @t76 (and @t73 @t70))))
% 0.47/0.89  (assume @p16 (forall (@list @t82) (exists (@list @t79 @t78) (= @t82 @t81))))
% 0.47/0.89  (assume @p17 (forall (@list @t87) (exists @t88 (= @t87 @t86))))
% 0.47/0.89  (assume @p18 (forall (@list @t93) (exists @t94 (= @t93 @t92))))
% 0.47/0.89  (assume @p19 (forall (@list @t96) (exists (@list @t95 @t83) (= @t96 (_ (_ tptp.produc2135284224od_b_b @t95) @t83)))))
% 0.47/0.89  (assume @p20 (forall (@list @t101) (exists @t102 (= @t101 @t100))))
% 0.47/0.89  (assume @p21 (forall (@list @t103 @t82) (=> @t108 (_ @t103 @t82))))
% 0.47/0.89  (assume @p22 (forall (@list @t109 @t87) (=> @t115 (_ @t109 @t87))))
% 0.47/0.89  (assume @p23 (forall (@list @t116 @t93) (=> @t122 (_ @t116 @t93))))
% 0.47/0.89  (assume @p24 (forall (@list @t123 @t96) (=> @t128 (_ @t123 @t96))))
% 0.47/0.89  (assume @p25 (forall (@list @t129 @t101) (=> @t134 (_ @t129 @t101))))
% 0.47/0.89  (assume @p26 (forall @t41 (=> @t40 (not (=> @t37 (not @t34))))))
% 0.47/0.89  (assume @p27 (forall @t51 (=> @t50 (not (=> @t47 @t135)))))
% 0.47/0.89  (assume @p28 (forall @t61 (=> @t60 (not (=> @t57 (not @t54))))))
% 0.47/0.89  (assume @p29 (forall @t67 (=> @t66 (not (=> @t64 @t135)))))
% 0.47/0.89  (assume @p30 (forall @t77 (=> @t76 (not (=> @t73 (not @t70))))))
% 0.47/0.89  (assume @p31 (forall @t142 (not (forall @t141 (not (= @t140 @t139))))))
% 0.47/0.89  (assume @p32 (forall @t147 (not (forall @t146 (not (= @t145 @t144))))))
% 0.47/0.89  (assume @p33 (forall @t151 (not (forall @t150 (not (= @t149 @t148))))))
% 0.47/0.89  (assume @p34 (forall (@list @t103 @t152) (=> @t108 (_ @t103 @t152))))
% 0.47/0.89  (assume @p35 (forall (@list @t109 @t153) (=> @t115 (_ @t109 @t153))))
% 0.47/0.89  (assume @p36 (forall (@list @t116 @t154) (=> @t122 (_ @t116 @t154))))
% 0.47/0.89  (assume @p37 (forall (@list @t123 @t155) (=> @t128 (_ @t123 @t155))))
% 0.47/0.89  (assume @p38 (forall (@list @t129 @t156) (=> @t134 (_ @t129 @t156))))
% 0.47/0.89  (assume @p39 (forall (@list @t157) (not (forall @t107 (not (= @t157 @t106))))))
% 0.47/0.89  (assume @p40 (forall @t142 (not (forall @t114 (not (= @t140 @t113))))))
% 0.47/0.89  (assume @p41 (forall @t147 (not (forall @t121 (not (= @t145 @t120))))))
% 0.47/0.89  (assume @p42 (forall @t151 (not (forall @t127 (not (= @t149 @t126))))))
% 0.47/0.89  (assume @p43 (forall (@list @t158) (not (forall @t133 (not (= @t158 @t132))))))
% 0.47/0.89  (assume @p44 (forall (@list @t109 @t159) (=> (forall @t141 (_ @t109 @t139)) (_ @t109 @t159))))
% 0.47/0.89  (assume @p45 (forall (@list @t116 @t160) (=> (forall @t146 (_ @t116 @t144)) (_ @t116 @t160))))
% 0.47/0.89  (assume @p46 (forall (@list @t123 @t161) (=> (forall @t150 (_ @t123 @t148)) (_ @t123 @t161))))
% 0.47/0.89  (assume @p47 (forall @t165 (= (_ tptp.labeled_vertices_a_b @t164) @t163)))
% 0.47/0.89  (assume @p48 (forall @t173 (=> @t172 (=> @t171 (_ @t166 @t163)))))
% 0.47/0.89  (assume @p49 (forall @t173 (=> @t172 (=> @t171 (_ @t174 @t163)))))
% 0.47/0.89  (assume @p50 (forall @t179 (=> @t178 (=> (_ (_ tptp.mainta535344367_a_nat @t177) @t175) (_ tptp.trans_1002055497_a_nat @t176)))))
% 0.47/0.89  (assume @p51 (forall @t180 (=> @t172 (=> (_ (_ tptp.maintained_a_nat_b @t177) @t162) (_ tptp.trans_b @t169)))))
% 0.47/0.89  (assume @p52 (forall (@list @t181 @t162) (_ (_ tptp.maintained_a_nat_b (_ (_ tptp.produc2000589545_a_nat @t181) @t181)) @t162)))
% 0.47/0.89  (assume @p53 (forall (@list @t182 @t167) (=> @t185 (=> (_ (_ tptp.mainta552012832od_b_b @t184) @t182) (_ (_ tptp.refl_o2134473190od_b_b @t183) (_ (_ tptp.getRel1183868946od_b_b @t167) @t182))))))
% 0.47/0.89  (assume @p54 (forall (@list @t186 @t167) (=> @t188 (=> (_ (_ tptp.mainta1627462506_a_nat @t184) @t186) (_ (_ tptp.refl_o206400048_a_nat @t187) (_ (_ tptp.getRel1248627292_a_nat @t167) @t186))))))
% 0.47/0.89  (assume @p55 (forall @t179 (=> @t178 (=> (_ (_ tptp.mainta535344367_a_nat @t184) @t175) (_ (_ tptp.refl_o1018941609_a_nat (_ tptp.labele953802518_a_nat @t175)) @t176)))))
% 0.47/0.89  (assume @p56 (forall @t180 (=> @t172 (=> (_ (_ tptp.maintained_a_nat_b @t184) @t162) (_ (_ tptp.refl_on_b @t163) @t169)))))
% 0.47/0.89  (assume @p57 (forall (@list @t189) (= (_ tptp.restrict_a_b @t190) @t190)))
% 0.47/0.89  (assume @p58 (forall (@list @t191 @t196 @t193 @t192) (=> @t198 (=> (_ (_ tptp.member1829919504od_b_b (_ @t197 @t192)) @t196) (and @t195 (_ (_ tptp.member1652792080od_b_b @t192) @t191))))))
% 0.47/0.89  (assume @p59 (forall (@list @t199 @t204 @t201 @t200) (=> @t206 (=> (_ (_ tptp.member1072844688_a_nat (_ @t205 @t200)) @t204) (and @t203 (_ (_ tptp.member101535418_a_nat @t200) @t199))))))
% 0.47/0.89  (assume @p60 (forall (@list @t207 @t212 @t209 @t208) (=> @t214 (=> (_ (_ tptp.member1009730320od_b_b (_ @t213 @t208)) @t212) (and @t211 (_ (_ tptp.member1050118384od_b_b @t208) @t207))))))
% 0.47/0.89  (assume @p61 (forall (@list @t215 @t220 @t217 @t216) (=> @t222 (=> (_ (_ tptp.member1199885584_set_b (_ @t221 @t216)) @t220) (and @t219 (_ (_ tptp.member_set_b @t216) @t215))))))
% 0.47/0.89  (assume @p62 (forall (@list @t223 @t225 @t36 @t33) (=> @t226 (=> (_ (_ tptp.member327031898_a_nat @t39) @t225) (and @t224 (_ (_ tptp.member154916863_a_nat @t33) @t223))))))
% 0.47/0.89  (assume @p63 (forall (@list @t227 @t231 @t56 @t53) (=> @t232 (=> (_ (_ tptp.member1542696848_a_nat @t59) @t231) (and @t230 (_ @t228 @t227))))))
% 0.47/0.89  (assume @p64 (forall (@list @t233 @t237 @t46 @t43) (=> @t239 (=> (_ @t238 @t237) (and @t236 (_ @t234 @t233))))))
% 0.47/0.89  (assume @p65 (forall (@list @t240 @t242 @t72 @t69) (=> @t245 (=> @t243 (and @t241 (_ @t174 @t240))))))
% 0.47/0.89  (assume @p66 (forall @t247 (=> @t198 (=> @t246 (_ (_ tptp.member1652792080od_b_b @t140) @t191)))))
% 0.47/0.89  (assume @p67 (forall @t252 (=> @t206 (=> @t251 (_ (_ tptp.member101535418_a_nat @t248) @t199)))))
% 0.47/0.89  (assume @p68 (forall @t256 (=> @t214 (=> @t255 (_ (_ tptp.member1050118384od_b_b @t253) @t207)))))
% 0.47/0.89  (assume @p69 (forall @t260 (=> @t222 (=> @t259 (_ (_ tptp.member_set_b @t257) @t215)))))
% 0.47/0.89  (assume @p70 (forall @t265 (=> @t226 (=> @t264 (_ (_ tptp.member154916863_a_nat @t261) @t223)))))
% 0.47/0.89  (assume @p71 (forall @t270 (=> @t232 (=> @t269 @t266))))
% 0.47/0.89  (assume @p72 (forall @t277 (=> @t239 (=> @t276 @t272))))
% 0.47/0.89  (assume @p73 (forall @t286 (=> @t245 (=> @t285 @t280))))
% 0.47/0.89  (assume @p74 (forall (@list @t225 @t262 @t261 @t287) (=> @t288 (=> @t264 (=> (_ (_ tptp.member327031898_a_nat (_ (_ tptp.produc2000589545_a_nat @t261) @t287)) @t225) (_ (_ tptp.member327031898_a_nat (_ @t263 @t287)) @t225))))))
% 0.47/0.89  (assume @p75 (forall (@list @t237 @t273 @t158 @t289) (=> @t290 (=> @t276 (=> (_ (_ tptp.member1652792080od_b_b (_ (_ tptp.produc546497367od_b_b @t158) @t289)) @t237) (_ (_ tptp.member1652792080od_b_b (_ @t274 @t289)) @t237))))))
% 0.47/0.89  (assume @p76 (forall (@list @t231 @t267 @t157 @t291) (=> @t292 (=> @t269 (=> (_ (_ tptp.member1542696848_a_nat (_ (_ tptp.produc410388695_a_nat @t157) @t291)) @t231) (_ (_ tptp.member1542696848_a_nat (_ @t268 @t291)) @t231))))))
% 0.47/0.89  (assume @p77 (forall (@list @t242 @t281 @t278 @t293) (=> @t295 (=> @t285 (=> (_ @t294 @t242) (_ (_ tptp.member1285940496od_b_b (_ @t282 @t293)) @t242))))))
% 0.47/0.89  (assume @p78 (forall @t297 (=> (forall (@list @t79 @t78 @t296) (=> (_ (_ tptp.member327031898_a_nat @t81) @t225) (=> (_ (_ tptp.member327031898_a_nat (_ (_ tptp.produc2000589545_a_nat @t78) @t296)) @t225) (_ (_ tptp.member327031898_a_nat (_ @t80 @t296)) @t225)))) @t288)))
% 0.47/0.89  (assume @p79 (forall (@list @t237) (=> (forall (@list @t84 @t83 @t298) (=> @t300 (=> (_ (_ tptp.member1652792080od_b_b (_ @t299 @t298)) @t237) (_ (_ tptp.member1652792080od_b_b (_ @t85 @t298)) @t237)))) @t290)))
% 0.47/0.89  (assume @p80 (forall @t302 (=> (forall (@list @t90 @t89 @t301) (=> (_ (_ tptp.member1542696848_a_nat @t92) @t231) (=> (_ (_ tptp.member1542696848_a_nat (_ (_ tptp.produc410388695_a_nat @t89) @t301)) @t231) (_ (_ tptp.member1542696848_a_nat (_ @t91 @t301)) @t231)))) @t292)))
% 0.47/0.89  (assume @p81 (forall @t307 (=> (forall (@list @t98 @t97 @t303) (=> @t306 (=> (_ (_ tptp.member1285940496od_b_b (_ @t304 @t303)) @t242) (_ (_ tptp.member1285940496od_b_b (_ @t99 @t303)) @t242)))) @t295)))
% 0.47/0.89  (assume @p82 (forall (@list @t191 @t196 @t193) (=> @t198 (=> @t195 (_ (_ tptp.member1829919504od_b_b (_ @t197 @t193)) @t196)))))
% 0.47/0.89  (assume @p83 (forall (@list @t199 @t204 @t201) (=> @t206 (=> @t203 (_ (_ tptp.member1072844688_a_nat (_ @t205 @t201)) @t204)))))
% 0.47/0.89  (assume @p84 (forall (@list @t207 @t212 @t209) (=> @t214 (=> @t211 (_ (_ tptp.member1009730320od_b_b (_ @t213 @t209)) @t212)))))
% 0.47/0.89  (assume @p85 (forall (@list @t215 @t220 @t217) (=> @t222 (=> @t219 (_ (_ tptp.member1199885584_set_b (_ @t221 @t217)) @t220)))))
% 0.47/0.89  (assume @p86 (forall (@list @t223 @t225 @t36) (=> @t226 (=> @t224 (_ (_ tptp.member327031898_a_nat @t308) @t225)))))
% 0.47/0.89  (assume @p87 (forall (@list @t227 @t231 @t56) (=> @t232 (=> @t230 (_ (_ tptp.member1542696848_a_nat @t309) @t231)))))
% 0.47/0.89  (assume @p88 (forall (@list @t233 @t237 @t46) (=> @t239 (=> @t236 (_ @t311 @t237)))))
% 0.47/0.89  (assume @p89 (forall (@list @t240 @t242 @t72) (=> @t245 (=> @t241 (_ @t313 @t242)))))
% 0.47/0.89  (assume @p90 (forall @t247 (=> @t198 (=> @t246 (_ (_ tptp.member1652792080od_b_b @t159) @t191)))))
% 0.47/0.89  (assume @p91 (forall @t252 (=> @t206 (=> @t251 (_ (_ tptp.member101535418_a_nat @t249) @t199)))))
% 0.47/0.89  (assume @p92 (forall @t256 (=> @t214 (=> @t255 (_ (_ tptp.member1050118384od_b_b @t254) @t207)))))
% 0.47/0.89  (assume @p93 (forall @t260 (=> @t222 (=> @t259 (_ (_ tptp.member_set_b @t258) @t215)))))
% 0.47/0.89  (assume @p94 (forall @t265 (=> @t226 (=> @t264 (_ (_ tptp.member154916863_a_nat @t262) @t223)))))
% 0.47/0.89  (assume @p95 (forall @t270 (=> @t232 (=> @t269 @t315))))
% 0.47/0.89  (assume @p96 (forall @t277 (=> @t239 (=> @t276 @t317))))
% 0.47/0.89  (assume @p97 (forall @t286 (=> @t245 (=> @t285 @t319))))
% 0.47/0.89  (assume @p98 (forall (@list @t320) (=> (_ (_ tptp.member327031898_a_nat @t320) (_ (_ tptp.insert2058869377_a_nat (_ tptp.standa1329480012rule_a tptp.i)) (_ (_ tptp.insert2058869377_a_nat (_ tptp.standa390703484rule_a tptp.i)) (_ (_ tptp.insert2058869377_a_nat (_ tptp.standa709637829rule_a tptp.i)) tptp.bot_bo2066531197_a_nat)))) (_ (_ tptp.maintained_a_nat_b @t320) tptp.g))))
% 0.47/0.89  (assume @p99 (forall @t337 (= @t336 (and @t331 @t327 @t323))))
% 0.47/0.89  (assume @p100 (forall @t346 (= @t345 (and @t342 @t340 @t323))))
% 0.47/0.89  (assume @p101 (forall @t354 (= @t353 (and @t351 @t349 @t323))))
% 0.47/0.89  (assume @p102 (forall @t361 (= @t360 (and @t331 @t327 @t357))))
% 0.47/0.89  (assume @p103 (forall @t369 (= @t368 (and @t366 @t364 @t323))))
% 0.47/0.89  (assume @p104 (forall @t377 (= @t376 (and @t374 @t372 @t323))))
% 0.47/0.89  (assume @p105 (forall @t379 (= @t378 (and @t342 @t340 @t357))))
% 0.47/0.89  (assume @p106 (forall @t381 (= @t380 (and @t351 @t349 @t357))))
% 0.47/0.89  (assume @p107 (forall @t383 (= @t382 (and @t366 @t364 @t357))))
% 0.47/0.89  (assume @p108 (forall @t385 (= @t384 (and @t374 @t372 @t357))))
% 0.47/0.89  (assume @p109 (forall (@list @t386 @t162) (=> @t387 (_ (_ tptp.fin_ma603645735_nat_b @t386) @t162))))
% 0.47/0.89  (assume @p110 (forall @t388 (=> @t239 (=> @t290 (_ tptp.idempo371692375od_b_b @t237)))))
% 0.47/0.89  (assume @p111 (forall @t389 (=> @t232 (=> @t292 (_ tptp.idempo365306145_a_nat @t231)))))
% 0.47/0.89  (assume @p112 (forall (@list @t223 @t225) (=> @t226 (=> @t288 @t390))))
% 0.47/0.89  (assume @p113 (forall @t392 (=> @t245 (=> @t295 @t391))))
% 0.47/0.89  (assume @p114 (forall (@list @t186 @t393) (=> @t188 (=> (forall @t396 (=> @t395 (_ (_ tptp.mainta1627462506_a_nat @t90) @t186))) (_ (_ tptp.equiv_281634663_a_nat @t187) (_ (_ tptp.getRel1248627292_a_nat @t393) @t186))))))
% 0.47/0.89  (assume @p115 (forall (@list @t182 @t393) (=> @t185 (=> (forall @t396 (=> @t395 (_ (_ tptp.mainta552012832od_b_b @t90) @t182))) (_ (_ tptp.equiv_1125628061od_b_b @t183) (_ (_ tptp.getRel1183868946od_b_b @t393) @t182))))))
% 0.47/0.89  (assume @p116 (forall (@list @t162 @t393) (=> @t172 (=> (forall @t396 (=> @t395 (_ (_ tptp.maintained_a_nat_b @t90) @t162))) (_ (_ tptp.equiv_equiv_b @t163) (_ (_ tptp.getRel_a_b @t393) @t162))))))
% 0.47/0.89  (assume @p117 (forall (@list @t193 @t109) (= (_ @t194 (_ tptp.collec1231052114od_b_b @t109)) (_ @t109 @t193))))
% 0.47/0.89  (assume @p118 (forall (@list @t201 @t397) (= (_ @t202 (_ tptp.collec971438076_a_nat @t397)) (_ @t397 @t201))))
% 0.47/0.89  (assume @p119 (forall (@list @t209 @t398) (= (_ @t210 (_ tptp.collec1543202610od_b_b @t398)) (_ @t398 @t209))))
% 0.47/0.89  (assume @p120 (forall (@list @t217 @t399) (= (_ @t218 (_ tptp.collect_set_b @t399)) (_ @t399 @t217))))
% 0.47/0.89  (assume @p121 (forall (@list @t72 @t400) (= (_ @t166 (_ tptp.collect_b @t400)) (_ @t400 @t72))))
% 0.47/0.89  (assume @p122 (forall (@list @t56 @t103) (= (_ @t229 @t401) (_ @t103 @t56))))
% 0.47/0.89  (assume @p123 (forall (@list @t46 @t129) (= (_ @t235 @t402) (_ @t129 @t46))))
% 0.47/0.89  (assume @p124 (forall (@list @t191) (= (_ tptp.collec1231052114od_b_b (lambda (@list @t403) (_ (_ tptp.member1652792080od_b_b @t403) @t191))) @t191)))
% 0.47/0.89  (assume @p125 (forall (@list @t199) (= (_ tptp.collec971438076_a_nat (lambda (@list @t404) (_ (_ tptp.member101535418_a_nat @t404) @t199))) @t199)))
% 0.47/0.89  (assume @p126 (forall (@list @t207) (= (_ tptp.collec1543202610od_b_b (lambda (@list @t405) (_ (_ tptp.member1050118384od_b_b @t405) @t207))) @t207)))
% 0.47/0.89  (assume @p127 (forall (@list @t215) (= (_ tptp.collect_set_b (lambda (@list @t406) (_ (_ tptp.member_set_b @t406) @t215))) @t215)))
% 0.47/0.89  (assume @p128 (forall @t410 (= (_ tptp.collect_b (lambda @t409 (_ @t408 @t240))) @t240)))
% 0.47/0.89  (assume @p129 (forall @t415 (= (_ tptp.collec978177436_a_nat (lambda @t414 @t413)) @t227)))
% 0.47/0.89  (assume @p130 (forall @t420 (= (_ tptp.collec1481886546od_b_b (lambda @t419 @t418)) @t233)))
% 0.47/0.89  (assume @p131 (forall (@list @t129 @t421) (=> (forall @t422 (= (_ @t129 @t84) (_ @t421 @t84))) (= @t402 (_ tptp.collec1481886546od_b_b @t421)))))
% 0.47/0.89  (assume @p132 (forall (@list @t103 @t423) (=> (forall @t396 (= (_ @t103 @t90) (_ @t423 @t90))) (= @t401 (_ tptp.collec978177436_a_nat @t423)))))
% 0.47/0.89  (assume @p133 (forall @t429 (=> @t428 (=> @t427 (_ @t166 @t425)))))
% 0.47/0.89  (assume @p134 (forall @t429 (=> @t428 (=> @t427 (_ @t174 @t425)))))
% 0.47/0.89  (assume @p135 (forall (@list @t160) (_ (_ tptp.refl_o2093460070_a_nat (_ (_ tptp.insert354391607_a_nat @t160) tptp.bot_bo1803599795_a_nat)) (_ (_ tptp.insert1772835511_a_nat (_ (_ tptp.produc404908887_a_nat @t160) @t160)) tptp.bot_bo896299827_a_nat))))
% 0.47/0.89  (assume @p136 (forall (@list @t273) (_ (_ tptp.refl_o2134473190od_b_b @t431) (_ (_ tptp.insert1098249399od_b_b (_ @t274 @t273)) tptp.bot_bo1174586163od_b_b))))
% 0.47/0.89  (assume @p137 (forall (@list @t161) (_ (_ tptp.refl_o686103183od_b_b (_ (_ tptp.insert1655137376od_b_b @t161) tptp.bot_bo519661404od_b_b)) (_ (_ tptp.insert428421239od_b_b (_ (_ tptp.produc1037687191od_b_b @t161) @t161)) tptp.bot_bo1856908531od_b_b))))
% 0.47/0.89  (assume @p138 (forall (@list @t249) (_ (_ tptp.refl_o730481808_a_nat (_ (_ tptp.insert1220735201_a_nat @t249) tptp.bot_bo1746593245_a_nat)) (_ (_ tptp.insert885128759_a_nat (_ @t250 @t249)) tptp.bot_bo2142478259_a_nat))))
% 0.47/0.89  (assume @p139 (forall @t435 (_ (_ tptp.refl_on_b @t434) @t432)))
% 0.47/0.89  (assume @p140 (forall @t438 (_ (_ tptp.refl_o1018941609_a_nat @t437) @t436)))
% 0.47/0.89  (assume @p141 (forall @t442 (_ (_ tptp.refl_o206400048_a_nat @t441) @t439)))
% 0.47/0.89  (assume @p142 (_ (_ tptp.order_265664679od_b_b tptp.bot_bo519661404od_b_b) tptp.bot_bo1856908531od_b_b))
% 0.47/0.89  (assume @p143 (_ (_ tptp.order_640573096_a_nat tptp.bot_bo1746593245_a_nat) tptp.bot_bo2142478259_a_nat))
% 0.47/0.89  (assume @p144 (_ (_ tptp.order_preorder_on_b tptp.bot_bot_set_b) tptp.bot_bo1343651123od_b_b))
% 0.47/0.89  (assume @p145 (_ (_ tptp.order_989282449_a_nat tptp.bot_bo1119737266_a_nat) tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (assume @p146 (_ (_ tptp.order_145089608_a_nat tptp.bot_bo2066531197_a_nat) tptp.bot_bo1803599795_a_nat))
% 0.47/0.89  (assume @p147 (_ (_ tptp.refl_o2134473190od_b_b tptp.bot_bo1343651123od_b_b) tptp.bot_bo1174586163od_b_b))
% 0.47/0.89  (assume @p148 (_ (_ tptp.refl_o686103183od_b_b tptp.bot_bo519661404od_b_b) tptp.bot_bo1856908531od_b_b))
% 0.47/0.89  (assume @p149 (_ (_ tptp.refl_o730481808_a_nat tptp.bot_bo1746593245_a_nat) tptp.bot_bo2142478259_a_nat))
% 0.47/0.89  (assume @p150 (_ (_ tptp.refl_on_b tptp.bot_bot_set_b) tptp.bot_bo1343651123od_b_b))
% 0.47/0.89  (assume @p151 (_ (_ tptp.refl_o1018941609_a_nat tptp.bot_bo1119737266_a_nat) tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (assume @p152 (_ (_ tptp.refl_o206400048_a_nat tptp.bot_bo2066531197_a_nat) tptp.bot_bo1803599795_a_nat))
% 0.47/0.89  (assume @p153 (forall @t443 (_ tptp.trans_1808857926od_b_b (_ (_ tptp.insert1098249399od_b_b @t310) tptp.bot_bo1174586163od_b_b))))
% 0.47/0.89  (assume @p154 (forall @t444 (_ tptp.trans_444496784_a_nat (_ (_ tptp.insert354391607_a_nat @t309) tptp.bot_bo1803599795_a_nat))))
% 0.47/0.89  (assume @p155 (forall (@list @t72) (_ tptp.trans_b (_ (_ tptp.insert1952693431od_b_b @t312) tptp.bot_bo1343651123od_b_b))))
% 0.47/0.89  (assume @p156 (forall (@list @t36) (_ tptp.trans_1002055497_a_nat (_ (_ tptp.insert2058869377_a_nat @t308) tptp.bot_bo2066531197_a_nat))))
% 0.47/0.89  (assume @p157 (forall @t297 (=> @t390 @t288)))
% 0.47/0.89  (assume @p158 (forall @t307 (=> @t391 @t295)))
% 0.47/0.89  (assume @p159 (_ tptp.trans_b tptp.bot_bo1343651123od_b_b))
% 0.47/0.89  (assume @p160 (_ tptp.trans_1002055497_a_nat tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (assume @p161 (forall @t337 (=> @t336 @t445)))
% 0.47/0.89  (assume @p162 (forall @t346 (=> @t345 @t445)))
% 0.47/0.89  (assume @p163 (forall @t354 (=> @t353 @t445)))
% 0.47/0.89  (assume @p164 (forall @t361 (=> @t360 @t446)))
% 0.47/0.89  (assume @p165 (forall @t369 (=> @t368 @t445)))
% 0.47/0.89  (assume @p166 (forall @t377 (=> @t376 @t445)))
% 0.47/0.89  (assume @p167 (forall @t379 (=> @t378 @t446)))
% 0.47/0.89  (assume @p168 (forall @t381 (=> @t380 @t446)))
% 0.47/0.89  (assume @p169 (forall @t383 (=> @t382 @t446)))
% 0.47/0.89  (assume @p170 (forall @t385 (=> @t384 @t446)))
% 0.47/0.89  (assume @p171 (forall (@list @t452 @t341 @t339 @t451 @t448 @t449 @t447) (=> (_ (_ tptp.member428378182_a_nat (_ (_ tptp.produc1645191821_a_nat @t453) (_ (_ tptp.produc639906189_a_nat @t451) @t450))) (_ tptp.on_tri1766439058_a_nat @t447)) (_ (_ tptp.member2103088853_a_nat (_ (_ tptp.produc2092742640_a_nat @t341) @t448)) @t447))))
% 0.47/0.89  (assume @p172 (forall (@list @t452 @t341 @t339 @t451 @t365 @t363 @t454) (=> (_ (_ tptp.member121756432_a_nat (_ (_ tptp.produc404908887_a_nat @t453) (_ (_ tptp.produc410388695_a_nat @t451) @t367))) (_ tptp.on_tri232494965_a_nat @t454)) (_ (_ tptp.member327031898_a_nat (_ @t343 @t365)) @t454))))
% 0.47/0.89  (assume @p173 (forall @t369 (=> @t368 @t366)))
% 0.47/0.89  (assume @p174 (forall @t377 (=> @t376 @t374)))
% 0.47/0.89  (assume @p175 (forall (@list @t322 @t329 @t326 @t321 @t448 @t449 @t455) (=> (_ (_ tptp.member1379268944_a_nat (_ (_ tptp.produc797892631_a_nat @t335) (_ (_ tptp.produc1904940160_a_nat @t321) @t450))) (_ tptp.on_tri1794757026_nat_a @t455)) (_ (_ tptp.member692218050_a_nat (_ (_ tptp.produc255168265_a_nat @t329) @t448)) @t455))))
% 0.47/0.89  (assume @p176 (forall @t337 (=> @t336 @t331)))
% 0.47/0.89  (assume @p177 (forall @t443 (_ @t235 @t457)))
% 0.47/0.89  (assume @p178 (forall @t444 (_ @t229 @t459)))
% 0.47/0.89  (assume @p179 (forall @t165 (=> @t172 (= (_ (_ tptp.maintained_a_nat_b tptp.standa879863265rule_a) @t162) (not (= @t163 tptp.bot_bot_set_b))))))
% 0.47/0.89  (assume @p180 (forall @t466 (=> (=> (not @t465) @t464) @t463)))
% 0.47/0.89  (assume @p181 (forall @t473 (=> (=> (not @t472) @t471) @t470)))
% 0.47/0.89  (assume @p182 (forall @t475 (= @t474 (or @t464 @t230))))
% 0.47/0.89  (assume @p183 (forall @t477 (= @t476 (or @t471 @t236))))
% 0.47/0.89  (assume @p184 (forall @t479 (= (_ @t440 @t478) @t478)))
% 0.47/0.89  (assume @p185 (forall (@list @t480) (not (_ @t481 tptp.bot_bo1343651123od_b_b))))
% 0.47/0.89  (assume @p186 (forall (@list @t482) (not (_ (_ tptp.member327031898_a_nat @t482) tptp.bot_bo2066531197_a_nat))))
% 0.47/0.89  (assume @p187 (forall @t420 (= (forall @t419 (not @t418)) @t483)))
% 0.47/0.89  (assume @p188 (forall @t415 (= (forall @t414 (not @t413)) @t484)))
% 0.47/0.89  (assume @p189 (forall @t487 (= @t486 @t485)))
% 0.47/0.89  (assume @p190 (forall @t487 (= (= tptp.bot_bo2066531197_a_nat @t401) @t485)))
% 0.47/0.89  (assume @p191 (forall @t420 (= (exists @t419 @t418) @t488)))
% 0.47/0.89  (assume @p192 (forall @t415 (= (exists @t414 @t413) @t489)))
% 0.47/0.89  (assume @p193 (forall @t420 (=> (forall (@list @t83) (not @t490)) @t483)))
% 0.47/0.89  (assume @p194 (forall @t415 (=> (forall (@list @t89) (not @t491)) @t484)))
% 0.47/0.89  (assume @p195 (forall (@list @t233 @t46) (=> @t483 @t492)))
% 0.47/0.89  (assume @p196 (forall (@list @t227 @t56) (=> @t484 @t493)))
% 0.47/0.89  (assume @p197 (forall @t443 (not (_ @t235 tptp.bot_bo1343651123od_b_b))))
% 0.47/0.89  (assume @p198 (forall @t444 (not (_ @t229 tptp.bot_bo2066531197_a_nat))))
% 0.47/0.89  (assume @p199 (forall @t496 (=> @t230 (exists @t495 (and (= @t227 (_ @t458 @t494)) (not (_ @t229 @t494)))))))
% 0.47/0.89  (assume @p200 (forall @t499 (=> @t236 (exists @t498 (and (= @t233 (_ @t456 @t497)) (not (_ @t235 @t497)))))))
% 0.47/0.89  (assume @p201 (forall (@list @t267 @t157 @t227) (= (_ @t440 (_ @t500 @t227)) (_ @t500 @t478))))
% 0.47/0.89  (assume @p202 (forall (@list @t56 @t227 @t53 @t460) (=> @t493 (=> (not (_ @t228 @t460)) (= (= @t504 @t462) (and (=> @t464 @t503) (=> @t502 (exists (@list @t501) (and (= @t227 (_ @t461 @t501)) (not (_ @t228 @t501)) (= @t460 (_ @t458 @t501)) (not (_ @t229 @t501)))))))))))
% 0.47/0.89  (assume @p203 (forall (@list @t46 @t233 @t43 @t467) (=> @t492 (=> (not (_ @t234 @t467)) (= (= @t508 @t469) (and (=> @t471 @t507) (=> @t506 (exists (@list @t505) (and (= @t233 (_ @t468 @t505)) (not (_ @t234 @t505)) (= @t467 (_ @t456 @t505)) (not (_ @t235 @t505)))))))))))
% 0.47/0.89  (assume @p204 (forall @t496 (=> @t230 (= @t504 @t227))))
% 0.47/0.89  (assume @p205 (forall @t499 (=> @t236 (= @t508 @t233))))
% 0.47/0.89  (assume @p206 (forall @t512 (=> @t511 (=> (not @t510) (= (= @t478 @t509) @t503)))))
% 0.47/0.89  (assume @p207 (forall @t517 (=> @t516 (=> (not @t515) (= (= @t514 @t513) @t507)))))
% 0.47/0.89  (assume @p208 (forall @t479 (=> @t315 (not (forall @t495 (=> (= @t227 (_ @t440 @t494)) (_ @t314 @t494)))))))
% 0.47/0.89  (assume @p209 (forall (@list @t273 @t233) (=> @t317 (not (forall @t498 (=> (= @t233 (_ @t430 @t497)) (_ @t316 @t497)))))))
% 0.47/0.89  (assume @p210 (forall @t466 (=> @t465 @t463)))
% 0.47/0.89  (assume @p211 (forall @t473 (=> @t472 @t470)))
% 0.47/0.89  (assume @p212 (forall (@list @t56 @t460) (_ @t229 @t518)))
% 0.47/0.89  (assume @p213 (forall (@list @t46 @t467) (_ @t235 (_ @t456 @t467))))
% 0.47/0.89  (assume @p214 (forall @t475 (=> @t474 (=> @t502 @t230))))
% 0.47/0.89  (assume @p215 (forall @t477 (=> @t476 (=> @t506 @t236))))
% 0.47/0.89  (assume @p216 (forall (@list @t56 @t53) (=> (= @t459 @t519) @t464)))
% 0.47/0.89  (assume @p217 (forall @t496 (not (= @t504 tptp.bot_bo2066531197_a_nat))))
% 0.47/0.89  (assume @p218 (forall (@list @t56 @t53 @t482 @t520) (= (= (_ @t458 @t519) (_ (_ tptp.insert2058869377_a_nat @t482) (_ (_ tptp.insert2058869377_a_nat @t520) tptp.bot_bo2066531197_a_nat))) (or (and (= @t56 @t482) (= @t53 @t520)) (and (= @t56 @t520) (= @t53 @t482))))))
% 0.47/0.89  (assume @p219 (forall @t523 (= @t522 @t521)))
% 0.47/0.89  (assume @p220 (forall @t526 (= @t525 @t524)))
% 0.47/0.89  (assume @p221 (forall @t523 (=> @t522 @t521)))
% 0.47/0.89  (assume @p222 (forall @t526 (=> @t525 @t524)))
% 0.47/0.89  (assume @p223 (forall @t442 (= (_ tptp.the_el537460006_a_nat @t441) @t267)))
% 0.47/0.89  (assume @p224 (forall (@list @t63 @t69 @t527) (= @t529 (_ tptp.restrict_a_b @t529))))
% 0.47/0.89  (assume @p225 (forall @t442 (_ tptp.is_sin1787449765_a_nat @t441)))
% 0.47/0.89  (assume @p226 (forall @t435 (_ (_ tptp.order_653178932r_on_b @t434) @t432)))
% 0.47/0.89  (assume @p227 (forall @t438 (_ (_ tptp.order_1770871027_a_nat @t437) @t436)))
% 0.47/0.89  (assume @p228 (forall @t442 (_ (_ tptp.order_1458491494_a_nat @t441) @t439)))
% 0.47/0.89  (assume @p229 (forall @t435 (_ (_ tptp.total_on_b @t434) @t432)))
% 0.47/0.89  (assume @p230 (forall @t438 (_ (_ tptp.total_6094180_a_nat @t437) @t436)))
% 0.47/0.89  (assume @p231 (forall @t442 (_ (_ tptp.total_2145009205_a_nat @t441) @t439)))
% 0.47/0.89  (assume @p232 (forall @t180 (=> @t172 (=> (_ (_ tptp.maintained_a_nat_b (_ tptp.standa709637829rule_a @t167)) @t162) (_ tptp.sym_b @t169)))))
% 0.47/0.89  (assume @p233 (forall (@list @t530) (= @t531 (_ tptp.restrict_a_b @t531))))
% 0.47/0.89  (assume @p234 (= tptp.bot_bo2066531197_a_nat (_ tptp.collec978177436_a_nat tptp.bot_bo186023328_nat_o)))
% 0.47/0.89  (assume @p235 (forall @t307 (=> (forall @t133 (=> (_ (_ tptp.member1285940496od_b_b @t132) @t242) (_ (_ tptp.member1285940496od_b_b (_ @t137 @t131)) @t242))) @t532)))
% 0.47/0.89  (assume @p236 (forall (@list @t242 @t69 @t72) (=> @t532 (=> (_ (_ tptp.member1285940496od_b_b (_ @t528 @t72)) @t242) @t243))))
% 0.47/0.89  (assume @p237 (forall @t388 (=> (forall @t88 (=> @t535 (=> @t490 (=> (not @t533) (or @t300 (_ (_ tptp.member1652792080od_b_b (_ @t299 @t84)) @t237)))))) (_ (_ tptp.total_178717291od_b_b @t233) @t237))))
% 0.47/0.89  (assume @p238 (forall @t392 (=> (forall @t102 (=> @t536 (=> (_ (_ tptp.member_b @t97) @t240) (=> (not (= @t98 @t97)) (or @t306 (_ (_ tptp.member1285940496od_b_b (_ @t304 @t98)) @t242)))))) (_ (_ tptp.total_on_b @t240) @t242))))
% 0.47/0.89  (assume @p239 (forall @t302 (_ (_ tptp.total_2145009205_a_nat tptp.bot_bo2066531197_a_nat) @t231)))
% 0.47/0.89  (assume @p240 (forall (@list @t538 @t537) (= (_ tptp.labeled_vertices_a_b (_ (_ tptp.labeled_LG_a_b @t538) @t537)) @t537)))
% 0.47/0.89  (assume @p241 (forall @t420 (=> @t488 (=> (forall @t88 (=> @t535 (=> @t490 @t533))) (_ tptp.is_sin1713057243od_b_b @t233)))))
% 0.47/0.89  (assume @p242 (forall @t415 (=> @t489 (=> (forall @t94 (=> @t540 (=> @t491 (= @t90 @t89)))) @t539))))
% 0.47/0.89  (assume @p243 (_ (_ tptp.order_1770871027_a_nat tptp.bot_bo1119737266_a_nat) tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (assume @p244 (_ (_ tptp.order_1458491494_a_nat tptp.bot_bo2066531197_a_nat) tptp.bot_bo1803599795_a_nat))
% 0.47/0.89  (assume @p245 (forall @t415 (=> @t539 (not (forall @t396 (not (= @t227 (_ (_ tptp.insert2058869377_a_nat @t90) tptp.bot_bo2066531197_a_nat))))))))
% 0.47/0.89  (assume @p246 (= tptp.is_sin1787449765_a_nat (lambda @t542 (exists @t414 (= @t541 (_ (_ tptp.insert2058869377_a_nat @t411) tptp.bot_bo2066531197_a_nat))))))
% 0.47/0.89  (assume @p247 (forall @t392 (=> @t544 (not (=> @t245 (=> @t532 (not @t295)))))))
% 0.47/0.89  (assume @p248 (forall @t392 (=> @t245 (=> @t532 (=> @t295 @t544)))))
% 0.47/0.89  (assume @p249 (forall (@list @t162 @t545) (= (_ (_ (_ tptp.graph_23275493_nat_b (_ (_ tptp.labele1171788421_a_nat tptp.bot_bo1463793628_a_nat) tptp.bot_bo2066531197_a_nat)) @t162) @t545) (and (= @t545 tptp.bot_bo1936722433_nat_b) @t172))))
% 0.47/0.89  (assume @p250 (forall @t487 (= @t486 (= @t103 tptp.bot_bo186023328_nat_o))))
% 0.47/0.89  (assume @p251 (forall (@list @t547 @t162 @t546) (=> (forall (@list @t550) (=> (_ @t552 @t550) (_ @t551 @t550))) @t549)))
% 0.47/0.89  (assume @p252 (forall @t555 (=> @t549 (=> @t554 (_ @t551 @t553)))))
% 0.47/0.89  (assume @p253 (forall @t277 (=> @t556 (=> @t317 (=> @t272 (= (= (_ (_ tptp.equiv_1530858158od_b_b @t431) @t237) (_ (_ tptp.equiv_1530858158od_b_b (_ (_ tptp.insert1952693431od_b_b @t158) tptp.bot_bo1343651123od_b_b)) @t237)) @t276))))))
% 0.47/0.89  (assume @p254 (forall @t286 (=> @t544 (=> @t319 (=> @t280 (= (= (_ (_ tptp.equiv_quotient_b @t434) @t242) (_ (_ tptp.equiv_quotient_b @t557) @t242)) @t285))))))
% 0.47/0.89  (assume @p255 (forall @t270 (=> @t559 (=> @t315 (=> @t266 (= (= (_ (_ tptp.equiv_1338033912_a_nat @t441) @t231) (_ (_ tptp.equiv_1338033912_a_nat @t558) @t231)) @t269))))))
% 0.47/0.89  (assume @p256 (forall @t389 (= (= tptp.bot_bo1746593245_a_nat @t560) @t484)))
% 0.47/0.89  (assume @p257 (forall @t389 (= (= @t560 tptp.bot_bo1746593245_a_nat) @t484)))
% 0.47/0.89  (assume @p258 (forall @t302 (= (_ (_ tptp.equiv_1338033912_a_nat tptp.bot_bo2066531197_a_nat) @t231) tptp.bot_bo1746593245_a_nat)))
% 0.47/0.89  (assume @p259 (forall (@list @t233 @t237 @t561 @t273 @t158) (=> @t556 (=> @t564 (=> @t562 (=> @t276 (_ @t271 @t561)))))))
% 0.47/0.89  (assume @p260 (forall @t570 (=> @t544 (=> @t569 (=> @t566 (=> @t285 (_ @t279 @t565)))))))
% 0.47/0.89  (assume @p261 (forall @t575 (=> @t556 (=> @t564 (=> @t574 (=> @t562 (=> @t573 (= @t572 @t276))))))))
% 0.47/0.89  (assume @p262 (forall @t580 (=> @t544 (=> @t569 (=> @t579 (=> @t566 (=> @t578 (= @t577 @t285))))))))
% 0.47/0.89  (assume @p263 (forall @t575 (=> @t556 (=> @t564 (=> @t574 (=> @t562 (=> @t573 (=> @t276 @t572))))))))
% 0.47/0.89  (assume @p264 (forall @t580 (=> @t544 (=> @t569 (=> @t579 (=> @t566 (=> @t578 (=> @t285 @t577))))))))
% 0.47/0.89  (assume @p265 (forall @t581 (=> @t544 (=> @t569 (not (= @t565 tptp.bot_bot_set_b))))))
% 0.47/0.89  (assume @p266 (forall (@list @t227 @t231 @t582) (=> @t559 (=> @t584 (not @t583)))))
% 0.47/0.89  (assume @p267 (forall @t570 (=> @t544 (=> @t569 (=> (_ @t585 @t565) @t285)))))
% 0.47/0.89  (assume @p268 (forall (@list @t227 @t231 @t582 @t267 @t157) (=> @t559 (=> @t584 (=> (_ @t586 @t582) @t269)))))
% 0.47/0.89  (assume @p269 (forall (@list @t400 @t281 @t588 @t278 @t587) (=> (_ @t400 @t281) (=> (_ (_ tptp.member1285940496od_b_b (_ (_ tptp.product_Pair_b_b @t588) @t278)) (_ @t587 @t281)) (_ (_ tptp.member1652792080od_b_b (_ (_ tptp.produc546497367od_b_b (_ @t282 @t588)) @t283)) (_ (_ tptp.same_fst_b_b @t400) @t587))))))
% 0.47/0.89  (assume @p270 (forall (@list @t278 @t293 @t167 @t162 @t589) (=> (_ @t294 @t169) (=> (_ (_ @t591 @t589) @t590) (_ @t294 (_ @t168 @t589))))))
% 0.47/0.89  (assume @p271 (forall (@list @t233 @t467) (=> (forall @t422 (=> @t535 (_ @t534 @t467))) @t593)))
% 0.47/0.89  (assume @p272 (forall @t415 (_ @t594 @t227)))
% 0.47/0.89  (assume @p273 (forall @t415 (= @t596 @t484)))
% 0.47/0.89  (assume @p274 (forall @t512 (= (_ (_ tptp.ord_le1374266033_a_nat @t478) @t460) (and @t510 @t597))))
% 0.47/0.89  (assume @p275 (forall @t517 (= (_ (_ tptp.ord_le1036320359od_b_b @t514) @t467) (and @t515 @t593))))
% 0.47/0.89  (assume @p276 (forall @t499 (=> @t236 (_ @t311 @t598))))
% 0.47/0.89  (assume @p277 (forall (@list @t72 @t240) (=> @t241 (_ @t313 @t599))))
% 0.47/0.89  (assume @p278 (forall (@list @t53 @t56 @t227) (= (= @t519 @t504) @t600)))
% 0.47/0.89  (assume @p279 (forall (@list @t56 @t227 @t53) (= (= @t504 @t519) @t600)))
% 0.47/0.89  (assume @p280 (= (_ tptp.id_on_1401723275_a_nat tptp.bot_bo1119737266_a_nat) tptp.bot_bo2066531197_a_nat))
% 0.47/0.89  (assume @p281 (= (_ tptp.id_on_1649591758_a_nat tptp.bot_bo2066531197_a_nat) tptp.bot_bo1803599795_a_nat))
% 0.47/0.89  (assume @p282 (forall @t165 (= (_ (_ @t591 @t162) @t590) @t172)))
% 0.47/0.89  (assume @p283 (forall @t165 (= (_ (_ @t591 @t164) @t590) @t172)))
% 0.47/0.89  (assume @p284 (forall (@list @t601) (_ (_ (_ tptp.graph_1322245399_a_b_b @t602) @t602) (_ tptp.id_on_b (_ tptp.labeled_vertices_a_b @t601)))))
% 0.47/0.89  (assume @p285 (forall @t611 (=> @t610 @t607)))
% 0.47/0.89  (assume @p286 (forall (@list @t612 @t233) (=> (_ (_ tptp.member1652792080od_b_b @t612) @t598) (not (forall @t422 (=> @t535 (not (= @t612 (_ @t85 @t84)))))))))
% 0.47/0.89  (assume @p287 (forall (@list @t480 @t240) (=> (_ @t481 @t599) (not (forall @t613 (=> @t536 (not (= @t480 (_ @t99 @t98)))))))))
% 0.47/0.89  (assume @p288 (forall @t477 (=> @t471 (=> @t236 (_ @t238 @t598)))))
% 0.47/0.89  (assume @p289 (forall (@list @t72 @t69 @t240) (=> (= @t72 @t69) (=> @t241 (_ @t170 @t599)))))
% 0.47/0.89  (assume @p290 (forall (@list @t273 @t158 @t233) (= (_ @t275 @t598) (and (= @t273 @t158) @t317))))
% 0.47/0.89  (assume @p291 (forall (@list @t281 @t278 @t240) (= (_ @t284 @t599) (and (= @t281 @t278) @t319))))
% 0.47/0.89  (assume @p292 (forall @t616 (=> @t615 @t614)))
% 0.47/0.89  (assume @p293 (forall @t616 (= @t615 @t614)))
% 0.47/0.89  (assume @p294 (forall @t616 (_ @t594 @t201)))
% 0.47/0.89  (assume @p295 (forall (@list @t242 @t617) (=> (forall @t102 (=> @t306 (_ @t305 @t617))) (_ (_ tptp.ord_le1036320359od_b_b @t242) @t617))))
% 0.47/0.89  (assume @p296 (forall (@list @t619 @t618 @t56) (=> (_ (_ tptp.ord_le1374266033_a_nat @t619) @t618) (_ (_ tptp.ord_le1374266033_a_nat (_ @t458 @t619)) (_ @t458 @t618)))))
% 0.47/0.89  (assume @p297 (forall @t512 (=> @t511 (= (_ @t595 @t509) @t597))))
% 0.47/0.89  (assume @p298 (forall @t517 (=> @t516 (= (_ @t592 @t513) @t593))))
% 0.47/0.89  (assume @p299 (forall (@list @t460 @t56) (_ (_ tptp.ord_le1374266033_a_nat @t460) @t518)))
% 0.47/0.89  (assume @p300 (forall (@list @t227 @t460 @t53) (=> @t597 (_ @t595 @t462))))
% 0.47/0.89  (assume @p301 (forall @t410 (_ tptp.trans_b @t599)))
% 0.47/0.89  (assume @p302 (forall @t410 (_ @t244 @t599)))
% 0.47/0.89  (assume @p303 (= tptp.ord_le1036320359od_b_b (lambda @t622 (forall @t419 (=> (_ @t417 @t621) (_ @t417 @t620))))))
% 0.47/0.89  (assume @p304 (forall (@list @t233 @t467 @t480) (=> @t593 (=> (_ @t481 @t233) (_ @t481 @t467)))))
% 0.47/0.89  (assume @p305 (forall (@list @t233 @t467 @t273) (=> @t593 (=> @t317 @t515))))
% 0.47/0.89  (assume @p306 (forall (@list @t227 @t267) (=> (_ @t595 @t441) (or @t484 (= @t227 @t441)))))
% 0.47/0.89  (assume @p307 (forall (@list @t582 @t56) (= (_ @t623 @t459) (or @t583 (= @t582 @t459)))))
% 0.47/0.89  (assume @p308 (forall (@list @t605 @t603 @t624) (=> @t610 (=> (_ (_ (_ tptp.graph_1322245399_a_b_b @t603) @t624) (_ tptp.id_on_b @t604)) (_ (_ @t609 @t624) @t608)))))
% 0.47/0.89  (assume @p309 (forall @t581 (=> @t544 (=> @t569 (_ (_ tptp.ord_less_eq_set_b @t565) @t240)))))
% 0.47/0.89  (assume @p310 (forall @t555 (=> @t549 (=> @t554 (not (forall (@list @t625) (=> (_ (_ (_ tptp.graph_914848022_nat_b @t546) @t162) @t625) (not (_ (_ tptp.ord_le1484132922_nat_b @t553) @t625)))))))))
% 0.47/0.89  (assume @p311 (forall (@list @t424 @t626 @t72 @t69 @t426) (=> (_ (_ (_ tptp.graph_1322245399_a_b_b @t424) @t626) (_ tptp.id_on_b @t425)) (=> @t427 (_ @t170 (_ (_ tptp.semantics_a_b @t626) @t426))))))
% 0.47/0.89  (assume @p312 (forall @t286 (=> @t544 (=> (_ @t585 @t240) (= (= @t628 (_ @t627 @t278)) @t285)))))
% 0.47/0.89  (assume @p313 (forall @t270 (=> @t559 (=> (_ @t586 @t227) (= (= (_ @t629 @t267) (_ @t629 @t157)) @t269)))))
% 0.47/0.89  (assume @p314 (forall (@list @t630 @t162 @t386) (=> (_ (_ tptp.conseq1058228089_nat_b @t630) @t162) (=> (_ (_ tptp.member327031898_a_nat @t386) @t630) @t387))))
% 0.47/0.89  (assume @p315 (forall (@list @t233 @t237 @t273) (=> @t556 (= (_ (_ tptp.member1050118384od_b_b (_ (_ tptp.equiv_270653002od_b_b @t237) @t273)) @t563) @t317))))
% 0.47/0.89  (assume @p316 (forall (@list @t240 @t242 @t281) (=> @t544 (= (_ (_ tptp.member_set_b @t628) @t568) @t319))))
% 0.47/0.89  (assume @p317 (forall (@list @t227 @t460) (=> @t484 @t597)))
% 0.47/0.89  (assume @p318 (forall (@list @t267 @t227 @t582) (=> @t315 (=> (_ @t623 @t227) (_ (_ tptp.ord_le1374266033_a_nat (_ @t440 @t582)) @t227)))))
% 0.47/0.89  (assume @p319 (forall (@list @t273 @t233 @t561) (=> @t317 (=> (_ (_ tptp.ord_le1036320359od_b_b @t561) @t233) (_ (_ tptp.ord_le1036320359od_b_b (_ @t430 @t561)) @t233)))))
% 0.47/0.89  (assume @p320 (forall (@list @t632 @t634 @t324 @t631) (=> (_ (_ tptp.member1285940496od_b_b (_ @t633 @t634)) @t324) (=> (= @t631 @t634) (_ (_ tptp.member1285940496od_b_b (_ @t633 @t631)) @t324)))))
% 0.47/0.89  (assume @p321 (forall @t420 (=> (forall @t422 (not @t535)) (_ @t592 tptp.bot_bo1343651123od_b_b))))
% 0.47/0.89  (assume @p322 (forall @t415 (=> (forall @t396 (not @t540)) @t596)))
% 0.47/0.89  (assume @p323 (forall @t611 (= @t610 (and @t639 @t637 @t636))))
% 0.47/0.89  (assume @p324 (forall @t611 (=> @t639 (=> @t637 (= @t635 (_ tptp.restrict_a_b @t635))))))
% 0.47/0.89  (assume @p325 (forall (@list @t240 @t242 @t641 @t467) (=> @t544 (=> (_ (_ tptp.equiv_1778431934od_b_b @t242) @t641) (=> (forall @t613 (=> @t536 (_ (_ tptp.member1285940496od_b_b (_ @t641 @t98)) @t467))) (forall (@list @t640) (=> (_ (_ tptp.member_set_b @t640) @t568) (_ (_ tptp.member1285940496od_b_b (_ (_ tptp.bNF_Gr1693995344od_b_b @t641) @t640)) @t467))))))))
% 0.47/0.89  (assume @p326 (forall (@list @t240 @t324) (=> (_ @t543 @t324) (_ (_ tptp.ord_le2142668391_set_b (_ (_ tptp.bNF_Gr345950468_set_b @t324) (_ tptp.equiv_proj_b_b @t324))) (_ tptp.id_on_set_b (_ @t567 @t324))))))
% 0.47/0.89  (assume @p327 (forall @t611 (=> @t639 (=> @t637 (= @t610 (and @t607 @t643))))))
% 0.47/0.89  (assume @p328 (forall @t648 (= @t647 @t644)))
% 0.47/0.89  (assume @p329 (forall @t611 (=> @t643 (=> @t607 @t636))))
% 0.47/0.89  (assume @p330 (forall @t165 (=> (_ (_ tptp.ord_le887919760od_b_b (_ tptp.labeled_edges_a_b @t162)) (_ tptp.labeled_edges_a_b @t164)) @t172)))
% 0.47/0.89  (assume @p331 (forall @t648 (= @t644 @t647)))
% 0.47/0.89  (assume @p332 (forall (@list @t644 @t649) (=> (and (= @t646 (_ tptp.labeled_edges_a_b @t649)) (= @t645 (_ tptp.labeled_vertices_a_b @t649))) (= @t644 @t649))))
% 0.47/0.89  (assume @p333 (forall @t611 (= @t636 (and @t643 @t607))))
% 0.47/0.89  (assume @p334 (forall @t611 (=> @t610 (_ (_ tptp.ord_le887919760od_b_b (_ tptp.labeled_edges_a_b @t638)) @t642))))
% 0.47/0.89  (assume @p335 @t652)
% 0.47/0.89  (assume @p336 true)
% 0.47/0.89  (step @p337 (= tptp.trans_1002055497_a_nat @t658) :rule refl :args (@t658))
% 0.47/0.89  (step @p338 (= tptp.trans_1808857926od_b_b @t663) :rule refl :args (@t663))
% 0.47/0.89  (step @p339 (= tptp.trans_444496784_a_nat @t668) :rule refl :args (@t668))
% 0.47/0.89  (step @p340 (= tptp.trans_b @t676) :rule refl :args (@t676))
% 0.47/0.89  (step @p341 (= tptp.order_1195372542od_b_b @t677) :rule refl :args (@t677))
% 0.47/0.89  (step @p342 (= tptp.order_145089608_a_nat @t678) :rule refl :args (@t678))
% 0.47/0.89  (step @p343 (= tptp.order_989282449_a_nat @t680) :rule refl :args (@t680))
% 0.47/0.89  (step @p344 (= tptp.order_preorder_on_b @t685) :rule refl :args (@t685))
% 0.47/0.89  (step @p345 (= tptp.bot_bo1302443370_b_b_o @t686) :rule refl :args (@t686))
% 0.47/0.89  (step @p346 (= tptp.bot_bo186023328_nat_o @t687) :rule refl :args (@t687))
% 0.47/0.89  (step @p347 (= tptp.sym_b @t689) :rule refl :args (@t689))
% 0.47/0.89  (step @p348 (= tptp.total_on_b @t690) :rule refl :args (@t690))
% 0.47/0.89  (step @p349 (= tptp.is_sin1787449765_a_nat @t691) :rule refl :args (@t691))
% 0.47/0.89  (step @p350 (= tptp.equiv_equiv_b @t692) :rule refl :args (@t692))
% 0.47/0.89  (step @p351 (= tptp.is_emp1506632323_a_nat @t693) :rule refl :args (@t693))
% 0.47/0.89  (step @p352 (= tptp.ord_le1036320359od_b_b @t696) :rule refl :args (@t696))
% 0.47/0.89  (step @p353 :rule refl :args ((tptp.member1285940496od_b_b @t4 @t1)))
% 0.47/0.89  (step @p354 :rule refl :args (@t697))
% 0.47/0.89  (step @p355 :rule refl :args (@t698))
% 0.47/0.89  (step @p356 :rule cong :premises (@p355 @p354) :args (@t699))
% 0.47/0.89  (step @p357 :rule trans :premises (@p356 @p353))
% 0.47/0.89  (step @p358 :rule refl :args (tptp.member1285940496od_b_b))
% 0.47/0.89  (step @p359 :rule ho_cong :premises (@p358 @p355))
% 0.47/0.89  (step @p360 :rule ho_cong :premises (@p359 @p354))
% 0.47/0.89  (step @p361 :rule cong :premises (@p360 @p357) :args ((= (_ (_ tptp.member1285940496od_b_b @t698) @t697) @t699)))
% 0.47/0.89  (step @p362 :rule symm :premises (@p361))
% 0.47/0.89  (step @p363 :rule refl :args (@t5))
% 0.47/0.89  (step @p364 :rule eq_resolve :premises (@p363 @p362))
% 0.47/0.89  (step @p365 :rule refl :args (@t1))
% 0.47/0.89  (step @p366 :rule cong :premises (@p365 @p354) :args ((= @t1 @t697)))
% 0.47/0.89  (step @p367 :rule symm :premises (@p366))
% 0.47/0.89  (step @p368 :rule eq_resolve :premises (@p365 @p367))
% 0.47/0.89  (step @p369 :rule refl :args (@t4))
% 0.47/0.89  (step @p370 :rule cong :premises (@p369 @p355) :args ((= @t4 @t698)))
% 0.47/0.89  (step @p371 :rule symm :premises (@p370))
% 0.47/0.89  (step @p372 :rule eq_resolve :premises (@p369 @p371))
% 0.47/0.89  (step @p373 :rule ho_cong :premises (@p358 @p372))
% 0.47/0.89  (step @p374 :rule ho_cong :premises (@p373 @p368))
% 0.47/0.89  (step @p375 :rule trans :premises (@p374 @p364))
% 0.47/0.89  (step @p376 :rule refl :args ((tptp.member1285940496od_b_b @t6 @t1)))
% 0.47/0.89  (step @p377 :rule refl :args (@t700))
% 0.47/0.89  (step @p378 :rule cong :premises (@p377 @p354) :args (@t701))
% 0.47/0.89  (step @p379 :rule trans :premises (@p378 @p376))
% 0.47/0.89  (step @p380 :rule ho_cong :premises (@p358 @p377))
% 0.47/0.89  (step @p381 :rule ho_cong :premises (@p380 @p354))
% 0.47/0.89  (step @p382 :rule cong :premises (@p381 @p379) :args ((= (_ (_ tptp.member1285940496od_b_b @t700) @t697) @t701)))
% 0.47/0.89  (step @p383 :rule symm :premises (@p382))
% 0.47/0.89  (step @p384 :rule refl :args (@t7))
% 0.47/0.89  (step @p385 :rule eq_resolve :premises (@p384 @p383))
% 0.47/0.89  (step @p386 :rule refl :args (@t6))
% 0.47/0.89  (step @p387 :rule cong :premises (@p386 @p377) :args ((= @t6 @t700)))
% 0.47/0.89  (step @p388 :rule symm :premises (@p387))
% 0.47/0.89  (step @p389 :rule eq_resolve :premises (@p386 @p388))
% 0.47/0.89  (step @p390 :rule ho_cong :premises (@p358 @p389))
% 0.47/0.89  (step @p391 :rule ho_cong :premises (@p390 @p368))
% 0.47/0.89  (step @p392 :rule trans :premises (@p391 @p385))
% 0.47/0.89  (step @p393 :rule cong :premises (@p392) :args (@t702))
% 0.47/0.89  (step @p394 :rule nary_cong :premises (@p393 @p375) :args (@t703))
% 0.47/0.89  (step @p395 :rule cong :premises (@p394) :args ((forall @t8 @t703)))
% 0.47/0.89  (step @p396 :rule bool-impl-elim :args (@t7 @t5))
% 0.47/0.89  (step @p397 :rule cong :premises (@p396) :args (@t9))
% 0.47/0.89  (step @p398 :rule trans :premises (@p397 @p395))
% 0.47/0.89  (step @p399 :rule and_elim :premises (@p1) :args (1))
% 0.47/0.89  (step @p400 :rule eq_resolve :premises (@p399 @p398))
% 0.47/0.89  (step @p401 :rule refl :args ((tptp.member1285940496od_b_b @t11 @t1)))
% 0.47/0.89  (step @p402 :rule refl :args (@t704))
% 0.47/0.89  (step @p403 :rule cong :premises (@p402 @p354) :args (@t705))
% 0.47/0.89  (step @p404 :rule trans :premises (@p403 @p401))
% 0.47/0.89  (step @p405 :rule ho_cong :premises (@p358 @p402))
% 0.47/0.89  (step @p406 :rule ho_cong :premises (@p405 @p354))
% 0.47/0.89  (step @p407 :rule cong :premises (@p406 @p404) :args ((= (_ (_ tptp.member1285940496od_b_b @t704) @t697) @t705)))
% 0.47/0.89  (step @p408 :rule symm :premises (@p407))
% 0.47/0.89  (step @p409 :rule refl :args (@t12))
% 0.47/0.89  (step @p410 :rule eq_resolve :premises (@p409 @p408))
% 0.47/0.89  (step @p411 :rule refl :args (@t11))
% 0.47/0.89  (step @p412 :rule cong :premises (@p411 @p402) :args ((= @t11 @t704)))
% 0.47/0.89  (step @p413 :rule symm :premises (@p412))
% 0.47/0.89  (step @p414 :rule eq_resolve :premises (@p411 @p413))
% 0.47/0.89  (step @p415 :rule refl :args (tptp.member1285940496od_b_b))
% 0.47/0.89  (step @p416 :rule ho_cong :premises (@p415 @p414))
% 0.47/0.89  (step @p417 :rule ho_cong :premises (@p416 @p368))
% 0.47/0.89  (step @p418 :rule trans :premises (@p417 @p410))
% 0.47/0.89  (step @p419 :rule eq_resolve :premises (@p2 @p418))
% 0.47/0.89  (step @p420 :rule refl :args ((tptp.member1285940496od_b_b @t650 @t1)))
% 0.47/0.89  (step @p421 :rule refl :args (@t706))
% 0.47/0.89  (step @p422 :rule cong :premises (@p421 @p354) :args (@t707))
% 0.47/0.89  (step @p423 :rule trans :premises (@p422 @p420))
% 0.47/0.89  (step @p424 :rule ho_cong :premises (@p358 @p421))
% 0.47/0.89  (step @p425 :rule ho_cong :premises (@p424 @p354))
% 0.47/0.89  (step @p426 :rule cong :premises (@p425 @p423) :args ((= (_ (_ tptp.member1285940496od_b_b @t706) @t697) @t707)))
% 0.47/0.89  (step @p427 :rule symm :premises (@p426))
% 0.47/0.89  (step @p428 :rule refl :args (@t651))
% 0.47/0.89  (step @p429 :rule eq_resolve :premises (@p428 @p427))
% 0.47/0.89  (step @p430 :rule refl :args (@t650))
% 0.47/0.89  (step @p431 :rule cong :premises (@p430 @p421) :args ((= @t650 @t706)))
% 0.47/0.89  (step @p432 :rule symm :premises (@p431))
% 0.47/0.89  (step @p433 :rule eq_resolve :premises (@p430 @p432))
% 0.47/0.89  (step @p434 :rule ho_cong :premises (@p415 @p433))
% 0.47/0.89  (step @p435 :rule ho_cong :premises (@p434 @p368))
% 0.47/0.89  (step @p436 :rule trans :premises (@p435 @p429))
% 0.47/0.89  (step @p437 :rule cong :premises (@p436) :args (@t652))
% 0.47/0.89  (step @p438 :rule eq_resolve :premises (@p335 @p437))
% 0.47/0.89  (step @p439 :rule cnf_or_pos :args (@t709))
% 0.47/0.89  (step @p440 :rule reordering :premises (@p439) :args ((or @t707 @t708 @t710)))
% 0.47/0.89  (step @p441 :rule chain_m_resolution :premises (@p440 @p438 @p419) :args (@t710 @t711 (@list @t707 @t705)))
% 0.47/0.89  (assume-push @p448 @t712)
% 0.47/0.89  (step @p443 :rule instantiate :premises (@p400) :args ((@list tptp.y tptp.z)))
% 0.47/0.89  (step-pop @p449 :rule scope :premises (@p443))
% 0.47/0.89  (step @p444 :rule process_scope :premises (@p449) :args (@t709))
% 0.47/0.89  (step @p446 :rule implies_elim :premises (@p444))
% 0.47/0.89  (step @p447 false :rule chain_m_resolution :premises (@p446 @p441 @p400) :args (false @t711 (@list @t709 @t712)))
% 0.47/0.89  )
% 0.47/0.89  % SZS output end Proof
% 0.47/0.89  % cvc5 exiting
%------------------------------------------------------------------------------