cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ITP176^1 : TPTP v9.2.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 08:25:17 AM UTC 2026

% Result   : Theorem 0.47s 0.98s
% Output   : Proof 0.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP176^1 : TPTP v9.2.1. Released v7.5.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.34  % Computer : n010.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Tue Jun  2 04:17:25 EDT 2026
% 0.18/0.34  % CPUTime  : 
% 0.39/0.61  %----Proving TH0
% 0.47/0.98  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.47/0.98  % SZS status Theorem
% 0.47/0.98  % SZS output start Proof
% 0.47/0.98  (
% 0.47/0.98  (declare-sort tptp.set_Product_prod_b_b 0)
% 0.47/0.98  (declare-sort tptp.b 0)
% 0.47/0.98  (declare-sort tptp.set_b 0)
% 0.47/0.98  (declare-sort tptp.produc1213276845od_b_b 0)
% 0.47/0.98  (declare-sort tptp.set_Pr2007082183od_b_b 0)
% 0.47/0.98  (declare-sort tptp.product_prod_b_b 0)
% 0.47/0.98  (declare-sort tptp.set_Pr1324126435od_b_b 0)
% 0.47/0.98  (declare-sort tptp.labele1159362096nt_a_b 0)
% 0.47/0.98  (declare-sort tptp.labele1835558936od_b_b 0)
% 0.47/0.98  (declare-sort tptp.set_Pr357419743_b_b_b 0)
% 0.47/0.98  (declare-sort tptp.set_Pr1021918435od_b_b 0)
% 0.47/0.98  (declare-sort tptp.produc1168037607od_b_b 0)
% 0.47/0.98  (declare-sort tptp.set_Pr2109276827od_b_b 0)
% 0.47/0.98  (declare-sort tptp.standard_Constant_a 0)
% 0.47/0.98  (declare-sort tptp.produc1367125253tant_a 0)
% 0.47/0.98  (declare-sort tptp.set_Pr306736955tant_a 0)
% 0.47/0.98  (declare-sort tptp.set_Pr621705391od_b_b 0)
% 0.47/0.98  (declare-sort tptp.produc1990339951od_b_b 0)
% 0.47/0.98  (declare-sort tptp.set_Pr2060523537od_b_b 0)
% 0.47/0.98  (declare-sort tptp.produc276146823_b_b_b 0)
% 0.47/0.98  (declare-sort tptp.produc1052326083od_b_b 0)
% 0.47/0.98  (declare-sort tptp.set_St761939237tant_a 0)
% 0.47/0.98  (declare-sort tptp.set_Pr1906739389_b_b_b 0)
% 0.47/0.98  (declare-sort tptp.produc2112523263_b_b_b 0)
% 0.47/0.98  (declare-sort tptp.produc255402447od_b_b 0)
% 0.47/0.98  (declare-sort tptp.produc970027067od_b_b 0)
% 0.47/0.98  (declare-sort tptp.produc1605346267od_b_b 0)
% 0.47/0.98  (declare-sort tptp.set_Pr2134561957od_b_b 0)
% 0.47/0.98  (declare-sort tptp.set_Pr1071216121od_b_b 0)
% 0.47/0.98  (declare-const tptp.bot_bot_set_b tptp.set_b)
% 0.47/0.98  (declare-const tptp.g tptp.labele1159362096nt_a_b)
% 0.47/0.98  (declare-const tptp.image_b_b (-> tptp.set_Product_prod_b_b tptp.set_b tptp.set_b))
% 0.47/0.98  (declare-const tptp.collect_b (-> (-> tptp.b Bool) tptp.set_b))
% 0.47/0.98  (declare-const tptp.standard_S_Idt_a tptp.standard_Constant_a)
% 0.47/0.98  (declare-const tptp.getRel904497637nt_a_b (-> tptp.standard_Constant_a tptp.labele1159362096nt_a_b tptp.set_Product_prod_b_b))
% 0.47/0.98  (declare-const tptp.member_b (-> tptp.b tptp.set_b Bool))
% 0.47/0.98  (declare-const tptp.hilbert_Eps_b (-> (-> tptp.b Bool) tptp.b))
% 0.47/0.98  (declare-const tptp.if_b (-> Bool tptp.b tptp.b tptp.b))
% 0.47/0.98  (declare-const tptp.member1285940496od_b_b (-> tptp.product_prod_b_b tptp.set_Product_prod_b_b Bool))
% 0.47/0.98  (declare-const tptp.collec1481886546od_b_b (-> (-> tptp.product_prod_b_b Bool) tptp.set_Product_prod_b_b))
% 0.47/0.98  (declare-const tptp.member1516365892od_b_b (-> tptp.produc1213276845od_b_b tptp.set_Pr1324126435od_b_b Bool))
% 0.47/0.98  (declare-const tptp.collec279084418od_b_b (-> (-> tptp.produc1213276845od_b_b Bool) tptp.set_Pr1324126435od_b_b))
% 0.47/0.98  (declare-const tptp.bot_bo1664927607od_b_b tptp.set_Pr1324126435od_b_b)
% 0.47/0.98  (declare-const tptp.bot_bo1343651123od_b_b tptp.set_Product_prod_b_b)
% 0.47/0.98  (declare-const tptp.produc1432590431od_b_b (-> tptp.standard_Constant_a tptp.product_prod_b_b tptp.produc1213276845od_b_b))
% 0.47/0.98  (declare-const tptp.product_Pair_b_b (-> tptp.b tptp.b tptp.product_prod_b_b))
% 0.47/0.98  (declare-const tptp.the_elem_b (-> tptp.set_b tptp.b))
% 0.47/0.98  (declare-const tptp.the_el329196508od_b_b (-> tptp.set_Product_prod_b_b tptp.product_prod_b_b))
% 0.47/0.98  (declare-const tptp.equiv_167626658_set_b (-> tptp.set_Product_prod_b_b tptp.set_Product_prod_b_b (-> tptp.b tptp.b tptp.set_b) Bool))
% 0.47/0.98  (declare-const tptp.equiv_1036235914_set_b (-> tptp.set_Pr2007082183od_b_b tptp.set_Product_prod_b_b (-> tptp.product_prod_b_b tptp.b tptp.set_b) Bool))
% 0.47/0.98  (declare-const tptp.labele1287464530_set_b (-> (-> tptp.set_Pr1324126435od_b_b tptp.set_b tptp.set_b) tptp.labele1159362096nt_a_b tptp.set_b))
% 0.47/0.98  (declare-const tptp.graph_792023598_b_b_b (-> tptp.labele1835558936od_b_b tptp.labele1159362096nt_a_b tptp.set_Pr357419743_b_b_b Bool))
% 0.47/0.98  (declare-const tptp.labele170595300od_b_b (-> tptp.set_Pr1021918435od_b_b tptp.set_Product_prod_b_b tptp.labele1835558936od_b_b))
% 0.47/0.98  (declare-const tptp.bot_bo1964903287od_b_b tptp.set_Pr1021918435od_b_b)
% 0.47/0.98  (declare-const tptp.bot_bo1124087115_b_b_b tptp.set_Pr357419743_b_b_b)
% 0.47/0.98  (declare-const tptp.graph_222606102_a_b_b (-> tptp.labele1159362096nt_a_b tptp.labele1159362096nt_a_b tptp.set_Product_prod_b_b Bool))
% 0.47/0.98  (declare-const tptp.order_609163036od_b_b (-> tptp.set_Product_prod_b_b tptp.set_Pr2007082183od_b_b Bool))
% 0.47/0.98  (declare-const tptp.order_653178932r_on_b (-> tptp.set_b tptp.set_Product_prod_b_b Bool))
% 0.47/0.98  (declare-const tptp.produc449289715od_b_b (-> tptp.produc1213276845od_b_b tptp.produc1213276845od_b_b tptp.produc970027067od_b_b))
% 0.47/0.98  (declare-const tptp.image_763305007od_b_b (-> tptp.set_Pr2109276827od_b_b tptp.set_Pr1324126435od_b_b tptp.set_Pr1324126435od_b_b))
% 0.47/0.98  (declare-const tptp.member1086024932od_b_b (-> tptp.produc970027067od_b_b tptp.set_Pr2109276827od_b_b Bool))
% 0.47/0.98  (declare-const tptp.image_1397930469od_b_b (-> tptp.set_Pr2134561957od_b_b tptp.set_Pr1324126435od_b_b tptp.set_Product_prod_b_b))
% 0.47/0.98  (declare-const tptp.produc1580777273_b_b_b (-> tptp.produc1213276845od_b_b tptp.b tptp.produc276146823_b_b_b))
% 0.47/0.98  (declare-const tptp.member942707974od_b_b (-> tptp.produc1990339951od_b_b tptp.set_Pr2134561957od_b_b Bool))
% 0.47/0.98  (declare-const tptp.image_1764625405_b_b_b (-> tptp.set_Pr1906739389_b_b_b tptp.set_Pr1324126435od_b_b tptp.set_b))
% 0.47/0.98  (declare-const tptp.produc732676669od_b_b (-> tptp.product_prod_b_b tptp.produc1213276845od_b_b tptp.produc1052326083od_b_b))
% 0.47/0.98  (declare-const tptp.member1417789726_b_b_b (-> tptp.produc276146823_b_b_b tptp.set_Pr1906739389_b_b_b Bool))
% 0.47/0.98  (declare-const tptp.image_532916993od_b_b (-> tptp.set_Pr1071216121od_b_b tptp.set_Product_prod_b_b tptp.set_Pr1324126435od_b_b))
% 0.47/0.98  (declare-const tptp.produc546497367od_b_b (-> tptp.product_prod_b_b tptp.product_prod_b_b tptp.produc1168037607od_b_b))
% 0.47/0.98  (declare-const tptp.y tptp.b)
% 0.47/0.98  (declare-const tptp.total_178717291od_b_b (-> tptp.set_Product_prod_b_b tptp.set_Pr2007082183od_b_b Bool))
% 0.47/0.98  (declare-const tptp.image_1928024979od_b_b (-> tptp.set_Pr2007082183od_b_b tptp.set_Product_prod_b_b tptp.set_Product_prod_b_b))
% 0.47/0.98  (declare-const tptp.image_1916422435od_b_b (-> tptp.set_Pr1324126435od_b_b tptp.set_St761939237tant_a tptp.set_Product_prod_b_b))
% 0.47/0.98  (declare-const tptp.total_771970601od_b_b (-> tptp.set_Pr1324126435od_b_b tptp.set_Pr2109276827od_b_b Bool))
% 0.47/0.98  (declare-const tptp.produc1257047359od_b_b (-> tptp.b tptp.product_prod_b_b tptp.produc255402447od_b_b))
% 0.47/0.98  (declare-const tptp.member351494440_b_b_b (-> tptp.produc2112523263_b_b_b tptp.set_Pr357419743_b_b_b Bool))
% 0.47/0.98  (declare-const tptp.image_1177096571od_b_b (-> tptp.set_Pr621705391od_b_b tptp.set_b tptp.set_Product_prod_b_b))
% 0.47/0.98  (declare-const tptp.member4694106od_b_b (-> tptp.produc1052326083od_b_b tptp.set_Pr1071216121od_b_b Bool))
% 0.47/0.98  (declare-const tptp.labele1424214014nt_a_b (-> tptp.labele1159362096nt_a_b tptp.set_b))
% 0.47/0.98  (declare-const tptp.restri446606278nt_a_b (-> tptp.labele1159362096nt_a_b tptp.labele1159362096nt_a_b))
% 0.47/0.98  (declare-const tptp.labele377702064od_b_b (-> (-> tptp.set_Pr1324126435od_b_b tptp.set_b tptp.set_Pr1324126435od_b_b) tptp.labele1159362096nt_a_b tptp.set_Pr1324126435od_b_b))
% 0.47/0.98  (declare-const tptp.member1652792080od_b_b (-> tptp.produc1168037607od_b_b tptp.set_Pr2007082183od_b_b Bool))
% 0.47/0.98  (declare-const tptp.image_921732011_b_b_b (-> tptp.set_Pr357419743_b_b_b tptp.set_Product_prod_b_b tptp.set_b))
% 0.47/0.98  (declare-const tptp.produc1597690145od_b_b (-> tptp.produc1213276845od_b_b tptp.product_prod_b_b tptp.produc1990339951od_b_b))
% 0.47/0.98  (declare-const tptp.image_984343321od_b_b (-> tptp.set_Pr2060523537od_b_b tptp.set_b tptp.set_Pr1324126435od_b_b))
% 0.47/0.98  (declare-const tptp.member641857272od_b_b (-> tptp.produc255402447od_b_b tptp.set_Pr621705391od_b_b Bool))
% 0.47/0.98  (declare-const tptp.x tptp.b)
% 0.47/0.98  (declare-const tptp.produc800495189od_b_b (-> tptp.b tptp.produc1213276845od_b_b tptp.produc1605346267od_b_b))
% 0.47/0.98  (declare-const tptp.member599505522od_b_b (-> tptp.produc1605346267od_b_b tptp.set_Pr2060523537od_b_b Bool))
% 0.47/0.98  (declare-const tptp.produc1001682799_b_b_b (-> tptp.product_prod_b_b tptp.b tptp.produc2112523263_b_b_b))
% 0.47/0.98  (declare-const tptp.member1632892294tant_a (-> tptp.standard_Constant_a tptp.set_St761939237tant_a Bool))
% 0.47/0.98  (declare-const tptp.bot_bo1160111033tant_a tptp.set_St761939237tant_a)
% 0.47/0.98  (declare-const tptp.insert1909710879tant_a (-> tptp.standard_Constant_a tptp.set_St761939237tant_a tptp.set_St761939237tant_a))
% 0.47/0.98  (declare-const tptp.hilber620807523od_b_b (-> (-> tptp.product_prod_b_b Bool) tptp.product_prod_b_b))
% 0.47/0.98  (declare-const tptp.equiv_1821124534_set_b (-> tptp.set_Product_prod_b_b (-> tptp.b tptp.set_b) Bool))
% 0.47/0.98  (declare-const tptp.equiv_1629197578_set_b (-> tptp.set_Pr2109276827od_b_b tptp.set_Product_prod_b_b (-> tptp.produc1213276845od_b_b tptp.b tptp.set_b) Bool))
% 0.47/0.98  (declare-const tptp.labele1741081071nt_a_b (-> tptp.labele1159362096nt_a_b tptp.set_Pr1324126435od_b_b))
% 0.47/0.98  (declare-const tptp.member1670214300tant_a (-> tptp.produc1367125253tant_a tptp.set_Pr306736955tant_a Bool))
% 0.47/0.98  (declare-const tptp.converse_b_b (-> tptp.set_Product_prod_b_b tptp.set_Product_prod_b_b))
% 0.47/0.98  (declare-const tptp.conver1398856763od_b_b (-> tptp.set_Pr1324126435od_b_b tptp.set_Pr306736955tant_a))
% 0.47/0.98  (declare-const tptp.produc1977323903tant_a (-> tptp.product_prod_b_b tptp.standard_Constant_a tptp.produc1367125253tant_a))
% 0.47/0.98  (declare-const tptp.conver1943590235tant_a (-> tptp.set_Pr306736955tant_a tptp.set_Pr1324126435od_b_b))
% 0.47/0.98  (declare-const tptp.refl_on_b (-> tptp.set_b tptp.set_Product_prod_b_b Bool))
% 0.47/0.98  (declare-const tptp.equiv_equiv_b (-> tptp.set_b tptp.set_Product_prod_b_b Bool))
% 0.47/0.98  (declare-const tptp.hilber46179633od_b_b (-> (-> tptp.produc1213276845od_b_b Bool) tptp.produc1213276845od_b_b))
% 0.47/0.98  (declare-const tptp.refl_o2134473190od_b_b (-> tptp.set_Product_prod_b_b tptp.set_Pr2007082183od_b_b Bool))
% 0.47/0.98  (declare-const tptp.bot_bo1174586163od_b_b tptp.set_Pr2007082183od_b_b)
% 0.47/0.98  (declare-const tptp.refl_o1921098222od_b_b (-> tptp.set_Pr1324126435od_b_b tptp.set_Pr2109276827od_b_b Bool))
% 0.47/0.98  (declare-const tptp.is_sin1465183929od_b_b (-> tptp.set_Pr1324126435od_b_b Bool))
% 0.47/0.98  (declare-const tptp.insert1098249399od_b_b (-> tptp.produc1168037607od_b_b tptp.set_Pr2007082183od_b_b tptp.set_Pr2007082183od_b_b))
% 0.47/0.98  (declare-const tptp.equiv_2048442231od_b_b (-> tptp.set_Pr1324126435od_b_b tptp.set_Pr2109276827od_b_b Bool))
% 0.47/0.98  (declare-const tptp.equiv_1125628061od_b_b (-> tptp.set_Product_prod_b_b tptp.set_Pr2007082183od_b_b Bool))
% 0.47/0.98  (declare-const tptp.labele1230159100nt_a_b (-> tptp.set_Pr1324126435od_b_b tptp.set_b tptp.labele1159362096nt_a_b))
% 0.47/0.98  (define tptp.insert_b () (let ((_let_1 (@var "B5" tptp.set_b))) (let ((_let_2 (@var "X2" tptp.b))) (let ((_let_3 (@var "A3" tptp.b))) (lambda (@list _let_3 _let_1) (_ tptp.collect_b (lambda (@list _let_2) (or (= _let_2 _let_3) (_ (_ tptp.member_b _let_2) _let_1)))))))))
% 0.47/0.98  (define tptp.p () (let ((_let_1 (@var "X2" tptp.b))) (let ((_let_2 (@var "Y" tptp.b))) (lambda (@list _let_1 _let_2) (_ (_ tptp.member_b _let_2) (_ (_ tptp.image_b_b (_ (_ tptp.getRel904497637nt_a_b tptp.standard_S_Idt_a) tptp.g)) (_ (_ tptp.insert_b _let_1) tptp.bot_bot_set_b)))))))
% 0.47/0.98  (define tptp.f () (let ((_let_1 (@var "X2" tptp.b))) (lambda (@list _let_1) (_ (_ (_ tptp.if_b (= (_ (_ tptp.image_b_b (_ (_ tptp.getRel904497637nt_a_b tptp.standard_S_Idt_a) tptp.g)) (_ (_ tptp.insert_b _let_1) tptp.bot_bot_set_b)) tptp.bot_bot_set_b)) _let_1) (_ tptp.hilbert_Eps_b (_ tptp.p _let_1))))))
% 0.47/0.98  (define tptp.insert1952693431od_b_b () (let ((_let_1 (@var "B5" tptp.set_Product_prod_b_b))) (let ((_let_2 (@var "X2" tptp.product_prod_b_b))) (let ((_let_3 (@var "A3" tptp.product_prod_b_b))) (lambda (@list _let_3 _let_1) (_ tptp.collec1481886546od_b_b (lambda (@list _let_2) (or (= _let_2 _let_3) (_ (_ tptp.member1285940496od_b_b _let_2) _let_1)))))))))
% 0.47/0.98  (define tptp.insert2037698781od_b_b () (let ((_let_1 (@var "B5" tptp.set_Pr1324126435od_b_b))) (let ((_let_2 (@var "X2" tptp.produc1213276845od_b_b))) (let ((_let_3 (@var "A3" tptp.produc1213276845od_b_b))) (lambda (@list _let_3 _let_1) (_ tptp.collec279084418od_b_b (lambda (@list _let_2) (or (= _let_2 _let_3) (_ (_ tptp.member1516365892od_b_b _let_2) _let_1)))))))))
% 0.47/0.98  (define tptp.bot_bo1167600078_b_b_o () (let ((_let_1 (@var "X2" tptp.produc1213276845od_b_b))) (lambda (@list _let_1) (_ (_ tptp.member1516365892od_b_b _let_1) tptp.bot_bo1664927607od_b_b))))
% 0.47/0.98  (define tptp.bot_bot_b_o () (let ((_let_1 (@var "X2" tptp.b))) (lambda (@list _let_1) (_ (_ tptp.member_b _let_1) tptp.bot_bot_set_b))))
% 0.47/0.98  (define tptp.bot_bo1302443370_b_b_o () (let ((_let_1 (@var "X2" tptp.product_prod_b_b))) (lambda (@list _let_1) (_ (_ tptp.member1285940496od_b_b _let_1) tptp.bot_bo1343651123od_b_b))))
% 0.47/0.98  (define tptp.bot_bo1734638456_b_b_o () (let ((_let_1 (@var "Y" tptp.product_prod_b_b))) (let ((_let_2 (@var "X2" tptp.standard_Constant_a))) (lambda (@list _let_2 _let_1) (_ (_ tptp.member1516365892od_b_b (_ (_ tptp.produc1432590431od_b_b _let_2) _let_1)) tptp.bot_bo1664927607od_b_b)))))
% 0.47/0.98  (define tptp.bot_bot_b_b_o () (let ((_let_1 (@var "Y" tptp.b))) (let ((_let_2 (@var "X2" tptp.b))) (lambda (@list _let_2 _let_1) (_ (_ tptp.member1285940496od_b_b (_ (_ tptp.product_Pair_b_b _let_2) _let_1)) tptp.bot_bo1343651123od_b_b)))))
% 0.47/0.98  (define tptp.is_singleton_b () (let ((_let_1 (@var "A6" tptp.set_b))) (lambda (@list _let_1) (= _let_1 (_ (_ tptp.insert_b (_ tptp.the_elem_b _let_1)) tptp.bot_bot_set_b)))))
% 0.47/0.98  (define tptp.is_sin1713057243od_b_b () (let ((_let_1 (@var "A6" tptp.set_Product_prod_b_b))) (lambda (@list _let_1) (= _let_1 (_ (_ tptp.insert1952693431od_b_b (_ tptp.the_el329196508od_b_b _let_1)) tptp.bot_bo1343651123od_b_b)))))
% 0.47/0.98  (define tptp.total_on_b () (let ((_let_1 (@var "R3" tptp.set_Product_prod_b_b))) (let ((_let_2 (@var "X2" tptp.b))) (let ((_let_3 (@var "Y" tptp.b))) (let ((_let_4 (@var "A6" 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)))))))))))))
% 0.47/0.98  (define tptp.equiv_proj_b_b () (let ((_let_1 (@var "X2" tptp.b))) (let ((_let_2 (@var "R3" tptp.set_Product_prod_b_b))) (lambda (@list _let_2 _let_1) (_ (_ tptp.image_b_b _let_2) (_ (_ tptp.insert_b _let_1) tptp.bot_bot_set_b))))))
% 0.47/0.98  (define tptp.ord_less_eq_set_b () (let ((_let_1 (@var "B5" tptp.set_b))) (let ((_let_2 (@var "T" tptp.b))) (let ((_let_3 (_ tptp.member_b _let_2))) (let ((_let_4 (@var "A6" tptp.set_b))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1)))))))))
% 0.47/0.98  (define tptp.ord_le1036320359od_b_b () (let ((_let_1 (@var "B5" 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 "A6" tptp.set_Product_prod_b_b))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1)))))))))
% 0.47/0.98  (define tptp.ord_le123089219od_b_b () (let ((_let_1 (@var "B5" tptp.set_Pr1324126435od_b_b))) (let ((_let_2 (@var "T" tptp.produc1213276845od_b_b))) (let ((_let_3 (_ tptp.member1516365892od_b_b _let_2))) (let ((_let_4 (@var "A6" tptp.set_Pr1324126435od_b_b))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1)))))))))
% 0.47/0.98  (define @t1 () (_ (_ tptp.getRel904497637nt_a_b tptp.standard_S_Idt_a) tptp.g))
% 0.47/0.98  (define @t2 () (_ tptp.image_b_b @t1))
% 0.47/0.98  (define @t3 () (_ @t2 (_ (_ tptp.insert_b tptp.y) tptp.bot_bot_set_b)))
% 0.47/0.98  (define @t4 () (_ @t2 (_ (_ tptp.insert_b tptp.x) tptp.bot_bot_set_b)))
% 0.47/0.98  (define @t5 () (@var "X" tptp.b))
% 0.47/0.98  (define @t6 () (_ tptp.p @t5))
% 0.47/0.98  (define @t7 () (_ tptp.hilbert_Eps_b @t6))
% 0.47/0.98  (define @t8 () (_ tptp.insert_b @t5))
% 0.47/0.98  (define @t9 () (_ @t8 tptp.bot_bot_set_b))
% 0.47/0.98  (define @t10 () (= (_ @t2 @t9) tptp.bot_bot_set_b))
% 0.47/0.98  (define @t11 () (@list @t5))
% 0.47/0.98  (define @t12 () (_ (_ tptp.product_Pair_b_b tptp.x) tptp.y))
% 0.47/0.98  (define @t13 () (_ (_ tptp.member1285940496od_b_b @t12) @t1))
% 0.47/0.98  (define @t14 () (@var "A" tptp.product_prod_b_b))
% 0.47/0.98  (define @t15 () (_ tptp.insert1952693431od_b_b @t14))
% 0.47/0.98  (define @t16 () (_ @t15 tptp.bot_bo1343651123od_b_b))
% 0.47/0.98  (define @t17 () (@var "X2" tptp.product_prod_b_b))
% 0.47/0.98  (define @t18 () (= @t17 @t14))
% 0.47/0.98  (define @t19 () (@list @t17))
% 0.47/0.98  (define @t20 () (@list @t14))
% 0.47/0.98  (define @t21 () (@var "A" tptp.b))
% 0.47/0.98  (define @t22 () (_ tptp.insert_b @t21))
% 0.47/0.98  (define @t23 () (_ @t22 tptp.bot_bot_set_b))
% 0.47/0.98  (define @t24 () (@var "X2" tptp.b))
% 0.47/0.98  (define @t25 () (= @t24 @t21))
% 0.47/0.98  (define @t26 () (@list @t24))
% 0.47/0.98  (define @t27 () (@list @t21))
% 0.47/0.98  (define @t28 () (@var "Z" tptp.product_prod_b_b))
% 0.47/0.98  (define @t29 () (@var "Y2" tptp.product_prod_b_b))
% 0.47/0.98  (define @t30 () (@var "Z" tptp.b))
% 0.47/0.98  (define @t31 () (@var "Y2" tptp.b))
% 0.47/0.98  (define @t32 () (lambda (@list @t31 @t30) (= @t31 @t30)))
% 0.47/0.98  (define @t33 () (@var "Z2" tptp.product_prod_b_b))
% 0.47/0.98  (define @t34 () (@var "X" tptp.product_prod_b_b))
% 0.47/0.98  (define @t35 () (_ tptp.insert1952693431od_b_b @t34))
% 0.47/0.98  (define @t36 () (@var "Y" tptp.product_prod_b_b))
% 0.47/0.98  (define @t37 () (@var "Z2" tptp.b))
% 0.47/0.98  (define @t38 () (@var "Y" tptp.b))
% 0.47/0.98  (define @t39 () (= @t38 @t5))
% 0.47/0.98  (define @t40 () (@list @t38))
% 0.47/0.98  (define @t41 () (@var "X3" tptp.set_b))
% 0.47/0.98  (define @t42 () (@var "R" tptp.set_Product_prod_b_b))
% 0.47/0.98  (define @t43 () (@var "R" tptp.set_Pr621705391od_b_b))
% 0.47/0.98  (define @t44 () (@var "R" tptp.set_Pr357419743_b_b_b))
% 0.47/0.98  (define @t45 () (@var "R" tptp.set_Pr2007082183od_b_b))
% 0.47/0.98  (define @t46 () (@var "A" tptp.produc1213276845od_b_b))
% 0.47/0.98  (define @t47 () (_ tptp.insert2037698781od_b_b @t46))
% 0.47/0.98  (define @t48 () (_ @t47 tptp.bot_bo1664927607od_b_b))
% 0.47/0.98  (define @t49 () (_ tptp.member1516365892od_b_b @t46))
% 0.47/0.98  (define @t50 () (@list @t46))
% 0.47/0.98  (define @t51 () (_ tptp.member_b @t21))
% 0.47/0.98  (define @t52 () (_ tptp.member1285940496od_b_b @t14))
% 0.47/0.98  (define @t53 () (@var "P" (-> tptp.b Bool)))
% 0.47/0.98  (define @t54 () (_ tptp.hilbert_Eps_b @t53))
% 0.47/0.98  (define @t55 () (= @t54 @t21))
% 0.47/0.98  (define @t56 () (@var "X4" tptp.b))
% 0.47/0.98  (define @t57 () (_ @t53 @t56))
% 0.47/0.98  (define @t58 () (@list @t56))
% 0.47/0.98  (define @t59 () (_ @t53 @t21))
% 0.47/0.98  (define @t60 () (@list @t53 @t21))
% 0.47/0.98  (define @t61 () (_ @t53 @t24))
% 0.47/0.98  (define @t62 () (forall @t26 (not @t61)))
% 0.47/0.98  (define @t63 () (_ tptp.collect_b @t53))
% 0.47/0.98  (define @t64 () (@list @t53))
% 0.47/0.98  (define @t65 () (@var "P" (-> tptp.product_prod_b_b Bool)))
% 0.47/0.98  (define @t66 () (_ @t65 @t17))
% 0.47/0.98  (define @t67 () (forall @t19 (not @t66)))
% 0.47/0.98  (define @t68 () (_ tptp.collec1481886546od_b_b @t65))
% 0.47/0.98  (define @t69 () (@list @t65))
% 0.47/0.98  (define @t70 () (= @t63 tptp.bot_bot_set_b))
% 0.47/0.98  (define @t71 () (= @t68 tptp.bot_bo1343651123od_b_b))
% 0.47/0.98  (define @t72 () (@var "A2" tptp.set_Pr1324126435od_b_b))
% 0.47/0.98  (define @t73 () (= @t72 tptp.bot_bo1664927607od_b_b))
% 0.47/0.98  (define @t74 () (@var "X2" tptp.produc1213276845od_b_b))
% 0.47/0.98  (define @t75 () (_ tptp.member1516365892od_b_b @t74))
% 0.47/0.98  (define @t76 () (_ @t75 @t72))
% 0.47/0.98  (define @t77 () (@list @t74))
% 0.47/0.98  (define @t78 () (@list @t72))
% 0.47/0.98  (define @t79 () (@var "A2" tptp.set_b))
% 0.47/0.98  (define @t80 () (= @t79 tptp.bot_bot_set_b))
% 0.47/0.98  (define @t81 () (_ tptp.member_b @t24))
% 0.47/0.98  (define @t82 () (_ @t81 @t79))
% 0.47/0.98  (define @t83 () (@list @t79))
% 0.47/0.98  (define @t84 () (@var "A2" tptp.set_Product_prod_b_b))
% 0.47/0.98  (define @t85 () (= @t84 tptp.bot_bo1343651123od_b_b))
% 0.47/0.98  (define @t86 () (_ tptp.member1285940496od_b_b @t17))
% 0.47/0.98  (define @t87 () (_ @t86 @t84))
% 0.47/0.98  (define @t88 () (@list @t84))
% 0.47/0.98  (define @t89 () (@var "C" tptp.produc1213276845od_b_b))
% 0.47/0.98  (define @t90 () (_ tptp.member1516365892od_b_b @t89))
% 0.47/0.98  (define @t91 () (@var "C" tptp.b))
% 0.47/0.98  (define @t92 () (_ tptp.member_b @t91))
% 0.47/0.98  (define @t93 () (@var "C" tptp.product_prod_b_b))
% 0.47/0.98  (define @t94 () (_ tptp.member1285940496od_b_b @t93))
% 0.47/0.98  (define @t95 () (_ @t8 @t79))
% 0.47/0.98  (define @t96 () (@list @t5 @t79))
% 0.47/0.98  (define @t97 () (_ @t51 @t79))
% 0.47/0.98  (define @t98 () (@var "B" tptp.b))
% 0.47/0.98  (define @t99 () (= @t21 @t98))
% 0.47/0.98  (define @t100 () (_ tptp.insert_b @t98))
% 0.47/0.98  (define @t101 () (_ @t51 (_ @t100 @t79)))
% 0.47/0.98  (define @t102 () (@list @t21 @t98 @t79))
% 0.47/0.98  (define @t103 () (_ @t52 @t84))
% 0.47/0.98  (define @t104 () (@var "B" tptp.product_prod_b_b))
% 0.47/0.98  (define @t105 () (= @t14 @t104))
% 0.47/0.98  (define @t106 () (_ tptp.insert1952693431od_b_b @t104))
% 0.47/0.98  (define @t107 () (_ @t52 (_ @t106 @t84)))
% 0.47/0.98  (define @t108 () (@list @t14 @t104 @t84))
% 0.47/0.98  (define @t109 () (_ @t49 @t72))
% 0.47/0.98  (define @t110 () (@var "B" tptp.produc1213276845od_b_b))
% 0.47/0.98  (define @t111 () (= @t46 @t110))
% 0.47/0.98  (define @t112 () (_ tptp.insert2037698781od_b_b @t110))
% 0.47/0.98  (define @t113 () (_ @t49 (_ @t112 @t72)))
% 0.47/0.98  (define @t114 () (@list @t46 @t110 @t72))
% 0.47/0.98  (define @t115 () (@var "B2" tptp.set_b))
% 0.47/0.98  (define @t116 () (_ @t100 @t115))
% 0.47/0.98  (define @t117 () (_ @t51 @t116))
% 0.47/0.98  (define @t118 () (_ @t51 @t115))
% 0.47/0.98  (define @t119 () (@list @t21 @t115 @t98))
% 0.47/0.98  (define @t120 () (@var "B2" tptp.set_Product_prod_b_b))
% 0.47/0.98  (define @t121 () (_ @t106 @t120))
% 0.47/0.98  (define @t122 () (_ @t52 @t121))
% 0.47/0.98  (define @t123 () (_ @t52 @t120))
% 0.47/0.98  (define @t124 () (@list @t14 @t120 @t104))
% 0.47/0.98  (define @t125 () (@var "B2" tptp.set_Pr1324126435od_b_b))
% 0.47/0.98  (define @t126 () (_ @t112 @t125))
% 0.47/0.98  (define @t127 () (_ @t49 @t126))
% 0.47/0.98  (define @t128 () (_ @t49 @t125))
% 0.47/0.98  (define @t129 () (@list @t46 @t125 @t110))
% 0.47/0.98  (define @t130 () (@var "R2" tptp.set_Pr621705391od_b_b))
% 0.47/0.98  (define @t131 () (_ tptp.image_1177096571od_b_b @t130))
% 0.47/0.98  (define @t132 () (_ tptp.member1285940496od_b_b @t104))
% 0.47/0.98  (define @t133 () (_ @t132 (_ @t131 @t79)))
% 0.47/0.98  (define @t134 () (_ (_ tptp.member641857272od_b_b (_ (_ tptp.produc1257047359od_b_b @t21) @t104)) @t130))
% 0.47/0.98  (define @t135 () (@var "R2" tptp.set_Pr2060523537od_b_b))
% 0.47/0.98  (define @t136 () (_ tptp.image_984343321od_b_b @t135))
% 0.47/0.98  (define @t137 () (_ tptp.member1516365892od_b_b @t110))
% 0.47/0.98  (define @t138 () (_ @t137 (_ @t136 @t79)))
% 0.47/0.98  (define @t139 () (_ (_ tptp.member599505522od_b_b (_ (_ tptp.produc800495189od_b_b @t21) @t110)) @t135))
% 0.47/0.98  (define @t140 () (@var "R2" tptp.set_Pr357419743_b_b_b))
% 0.47/0.98  (define @t141 () (_ tptp.image_921732011_b_b_b @t140))
% 0.47/0.98  (define @t142 () (_ tptp.member_b @t98))
% 0.47/0.98  (define @t143 () (_ @t142 (_ @t141 @t84)))
% 0.47/0.98  (define @t144 () (_ tptp.produc1001682799_b_b_b @t14))
% 0.47/0.98  (define @t145 () (_ (_ tptp.member351494440_b_b_b (_ @t144 @t98)) @t140))
% 0.47/0.98  (define @t146 () (@var "R2" tptp.set_Pr2007082183od_b_b))
% 0.47/0.98  (define @t147 () (_ tptp.image_1928024979od_b_b @t146))
% 0.47/0.98  (define @t148 () (_ @t132 (_ @t147 @t84)))
% 0.47/0.98  (define @t149 () (_ tptp.produc546497367od_b_b @t14))
% 0.47/0.98  (define @t150 () (_ (_ tptp.member1652792080od_b_b (_ @t149 @t104)) @t146))
% 0.47/0.98  (define @t151 () (@var "R2" tptp.set_Pr1071216121od_b_b))
% 0.47/0.98  (define @t152 () (_ tptp.image_532916993od_b_b @t151))
% 0.47/0.98  (define @t153 () (_ @t137 (_ @t152 @t84)))
% 0.47/0.98  (define @t154 () (_ (_ tptp.member4694106od_b_b (_ (_ tptp.produc732676669od_b_b @t14) @t110)) @t151))
% 0.47/0.98  (define @t155 () (@var "R2" tptp.set_Pr1906739389_b_b_b))
% 0.47/0.98  (define @t156 () (_ @t142 (_ (_ tptp.image_1764625405_b_b_b @t155) @t72)))
% 0.47/0.98  (define @t157 () (_ (_ tptp.member1417789726_b_b_b (_ (_ tptp.produc1580777273_b_b_b @t46) @t98)) @t155))
% 0.47/0.98  (define @t158 () (@var "R2" tptp.set_Pr2134561957od_b_b))
% 0.47/0.98  (define @t159 () (_ @t132 (_ (_ tptp.image_1397930469od_b_b @t158) @t72)))
% 0.47/0.98  (define @t160 () (_ (_ tptp.member942707974od_b_b (_ (_ tptp.produc1597690145od_b_b @t46) @t104)) @t158))
% 0.47/0.98  (define @t161 () (@var "R2" tptp.set_Pr2109276827od_b_b))
% 0.47/0.98  (define @t162 () (_ tptp.image_763305007od_b_b @t161))
% 0.47/0.98  (define @t163 () (_ @t137 (_ @t162 @t72)))
% 0.47/0.98  (define @t164 () (_ tptp.produc449289715od_b_b @t46))
% 0.47/0.98  (define @t165 () (_ (_ tptp.member1086024932od_b_b (_ @t164 @t110)) @t161))
% 0.47/0.98  (define @t166 () (@var "R2" tptp.set_Product_prod_b_b))
% 0.47/0.98  (define @t167 () (_ tptp.image_b_b @t166))
% 0.47/0.98  (define @t168 () (_ @t167 @t79))
% 0.47/0.98  (define @t169 () (_ @t142 @t168))
% 0.47/0.98  (define @t170 () (_ tptp.product_Pair_b_b @t21))
% 0.47/0.98  (define @t171 () (_ @t170 @t98))
% 0.47/0.98  (define @t172 () (_ tptp.member1285940496od_b_b @t171))
% 0.47/0.98  (define @t173 () (_ @t172 @t166))
% 0.47/0.98  (define @t174 () (@var "A2" tptp.set_St761939237tant_a))
% 0.47/0.98  (define @t175 () (@var "R2" tptp.set_Pr1324126435od_b_b))
% 0.47/0.98  (define @t176 () (_ tptp.image_1916422435od_b_b @t175))
% 0.47/0.98  (define @t177 () (_ @t132 (_ @t176 @t174)))
% 0.47/0.98  (define @t178 () (@var "A" tptp.standard_Constant_a))
% 0.47/0.98  (define @t179 () (_ (_ tptp.member1632892294tant_a @t178) @t174))
% 0.47/0.98  (define @t180 () (_ tptp.produc1432590431od_b_b @t178))
% 0.47/0.98  (define @t181 () (_ @t180 @t104))
% 0.47/0.98  (define @t182 () (_ tptp.member1516365892od_b_b @t181))
% 0.47/0.98  (define @t183 () (_ @t182 @t175))
% 0.47/0.98  (define @t184 () (_ @t176 (_ (_ tptp.insert1909710879tant_a @t178) tptp.bot_bo1160111033tant_a)))
% 0.47/0.98  (define @t185 () (_ @t167 @t23))
% 0.47/0.98  (define @t186 () (_ @t141 @t16))
% 0.47/0.98  (define @t187 () (_ @t147 @t16))
% 0.47/0.98  (define @t188 () (@var "S" tptp.set_Product_prod_b_b))
% 0.47/0.98  (define @t189 () (_ tptp.product_Pair_b_b @t24))
% 0.47/0.98  (define @t190 () (_ tptp.member1285940496od_b_b (_ @t189 @t38)))
% 0.47/0.98  (define @t191 () (@list @t24 @t38))
% 0.47/0.98  (define @t192 () (@var "S" tptp.set_Pr1324126435od_b_b))
% 0.47/0.98  (define @t193 () (@var "R" tptp.set_Pr1324126435od_b_b))
% 0.47/0.98  (define @t194 () (@var "X2" tptp.standard_Constant_a))
% 0.47/0.98  (define @t195 () (_ tptp.produc1432590431od_b_b @t194))
% 0.47/0.98  (define @t196 () (_ tptp.member1516365892od_b_b (_ @t195 @t36)))
% 0.47/0.98  (define @t197 () (@list @t194 @t36))
% 0.47/0.98  (define @t198 () (@list @t98 @t166 @t79))
% 0.47/0.98  (define @t199 () (@list @t104 @t175 @t174))
% 0.47/0.98  (define @t200 () (@var "X4" tptp.product_prod_b_b))
% 0.47/0.98  (define @t201 () (_ tptp.member1285940496od_b_b @t200))
% 0.47/0.98  (define @t202 () (_ @t201 @t84))
% 0.47/0.98  (define @t203 () (not @t202))
% 0.47/0.98  (define @t204 () (@list @t200))
% 0.47/0.98  (define @t205 () (@var "X4" tptp.produc1213276845od_b_b))
% 0.47/0.98  (define @t206 () (_ tptp.member1516365892od_b_b @t205))
% 0.47/0.98  (define @t207 () (_ @t206 @t72))
% 0.47/0.98  (define @t208 () (not @t207))
% 0.47/0.98  (define @t209 () (@list @t205))
% 0.47/0.98  (define @t210 () (_ tptp.member_b @t56))
% 0.47/0.98  (define @t211 () (_ @t210 @t79))
% 0.47/0.98  (define @t212 () (not @t211))
% 0.47/0.98  (define @t213 () (_ tptp.produc546497367od_b_b @t200))
% 0.47/0.98  (define @t214 () (_ tptp.produc449289715od_b_b @t205))
% 0.47/0.98  (define @t215 () (_ tptp.product_Pair_b_b @t56))
% 0.47/0.98  (define @t216 () (@var "X4" tptp.standard_Constant_a))
% 0.47/0.98  (define @t217 () (_ tptp.produc1432590431od_b_b @t216))
% 0.47/0.98  (define @t218 () (@var "B3" tptp.product_prod_b_b))
% 0.47/0.98  (define @t219 () (@var "B3" tptp.b))
% 0.47/0.98  (define @t220 () (@list @t219))
% 0.47/0.98  (define @t221 () (not @t73))
% 0.47/0.98  (define @t222 () (not @t80))
% 0.47/0.98  (define @t223 () (not @t85))
% 0.47/0.98  (define @t224 () (@var "Y3" tptp.produc1213276845od_b_b))
% 0.47/0.98  (define @t225 () (_ (_ tptp.member1516365892od_b_b @t224) @t72))
% 0.47/0.98  (define @t226 () (@var "Y3" tptp.b))
% 0.47/0.98  (define @t227 () (_ (_ tptp.member_b @t226) @t79))
% 0.47/0.98  (define @t228 () (@list @t226))
% 0.47/0.98  (define @t229 () (@var "Y3" tptp.product_prod_b_b))
% 0.47/0.98  (define @t230 () (_ (_ tptp.member1285940496od_b_b @t229) @t84))
% 0.47/0.98  (define @t231 () (not @t109))
% 0.47/0.98  (define @t232 () (not @t97))
% 0.47/0.98  (define @t233 () (not @t103))
% 0.47/0.98  (define @t234 () (@var "B4" tptp.set_b))
% 0.47/0.98  (define @t235 () (@list @t234))
% 0.47/0.98  (define @t236 () (@list @t21 @t79))
% 0.47/0.98  (define @t237 () (@var "B4" tptp.set_Product_prod_b_b))
% 0.47/0.98  (define @t238 () (@list @t237))
% 0.47/0.98  (define @t239 () (@list @t14 @t84))
% 0.47/0.98  (define @t240 () (@var "B4" tptp.set_Pr1324126435od_b_b))
% 0.47/0.98  (define @t241 () (@list @t240))
% 0.47/0.98  (define @t242 () (@list @t46 @t72))
% 0.47/0.98  (define @t243 () (@var "Y4" tptp.b))
% 0.47/0.98  (define @t244 () (_ tptp.insert_b @t243))
% 0.47/0.98  (define @t245 () (@var "C2" tptp.set_b))
% 0.47/0.98  (define @t246 () (not @t99))
% 0.47/0.98  (define @t247 () (= @t79 @t115))
% 0.47/0.98  (define @t248 () (_ @t22 @t79))
% 0.47/0.98  (define @t249 () (@var "C2" tptp.set_Product_prod_b_b))
% 0.47/0.98  (define @t250 () (not @t105))
% 0.47/0.98  (define @t251 () (= @t84 @t120))
% 0.47/0.98  (define @t252 () (_ @t15 @t84))
% 0.47/0.98  (define @t253 () (@var "C2" tptp.set_Pr1324126435od_b_b))
% 0.47/0.98  (define @t254 () (not @t111))
% 0.47/0.98  (define @t255 () (= @t72 @t125))
% 0.47/0.98  (define @t256 () (_ @t47 @t72))
% 0.47/0.98  (define @t257 () (_ @t8 @t115))
% 0.47/0.98  (define @t258 () (_ tptp.member_b @t5))
% 0.47/0.98  (define @t259 () (_ @t258 @t115))
% 0.47/0.98  (define @t260 () (_ @t258 @t79))
% 0.47/0.98  (define @t261 () (not @t260))
% 0.47/0.98  (define @t262 () (@list @t5 @t79 @t115))
% 0.47/0.98  (define @t263 () (_ @t35 @t120))
% 0.47/0.98  (define @t264 () (_ @t35 @t84))
% 0.47/0.98  (define @t265 () (_ tptp.member1285940496od_b_b @t34))
% 0.47/0.98  (define @t266 () (_ @t265 @t120))
% 0.47/0.98  (define @t267 () (_ @t265 @t84))
% 0.47/0.98  (define @t268 () (not @t267))
% 0.47/0.98  (define @t269 () (@list @t34 @t84 @t120))
% 0.47/0.98  (define @t270 () (@var "X" tptp.produc1213276845od_b_b))
% 0.47/0.98  (define @t271 () (_ tptp.insert2037698781od_b_b @t270))
% 0.47/0.98  (define @t272 () (_ @t271 @t125))
% 0.47/0.98  (define @t273 () (_ @t271 @t72))
% 0.47/0.98  (define @t274 () (_ tptp.member1516365892od_b_b @t270))
% 0.47/0.98  (define @t275 () (_ @t274 @t125))
% 0.47/0.98  (define @t276 () (_ @t274 @t72))
% 0.47/0.98  (define @t277 () (not @t276))
% 0.47/0.98  (define @t278 () (@list @t270 @t72 @t125))
% 0.47/0.98  (define @t279 () (_ @t22 @t115))
% 0.47/0.98  (define @t280 () (@var "P2" (-> tptp.b Bool)))
% 0.47/0.98  (define @t281 () (@var "X5" tptp.b))
% 0.47/0.98  (define @t282 () (_ @t65 @t14))
% 0.47/0.98  (define @t283 () (@var "P" (-> tptp.produc1213276845od_b_b Bool)))
% 0.47/0.98  (define @t284 () (@list @t21 @t53))
% 0.47/0.98  (define @t285 () (lambda @t19 @t87))
% 0.47/0.98  (define @t286 () (lambda @t77 @t76))
% 0.47/0.98  (define @t287 () (lambda @t26 @t82))
% 0.47/0.98  (define @t288 () (@var "Q" (-> tptp.b Bool)))
% 0.47/0.98  (define @t289 () (_ tptp.collect_b @t288))
% 0.47/0.98  (define @t290 () (_ @t288 @t56))
% 0.47/0.98  (define @t291 () (forall @t58 (= @t57 @t290)))
% 0.47/0.98  (define @t292 () (@list @t53 @t288))
% 0.47/0.98  (define @t293 () (_ @t53 @t54))
% 0.47/0.98  (define @t294 () (lambda @t26 false))
% 0.47/0.98  (define @t295 () (= tptp.bot_bot_set_b (_ tptp.collect_b @t294)))
% 0.47/0.98  (define @t296 () (@var "U" tptp.b))
% 0.47/0.98  (define @t297 () (_ @t53 @t281))
% 0.47/0.98  (define @t298 () (@list @t281))
% 0.47/0.98  (define @t299 () (@var "X6" tptp.b))
% 0.47/0.98  (define @t300 () (lambda @t19 (and @t87 @t66)))
% 0.47/0.98  (define @t301 () (@var "Q" (-> tptp.product_prod_b_b Bool)))
% 0.47/0.98  (define @t302 () (@var "X5" tptp.product_prod_b_b))
% 0.47/0.98  (define @t303 () (lambda @t77 (and @t76 (_ @t283 @t74))))
% 0.47/0.98  (define @t304 () (@var "Q" (-> tptp.produc1213276845od_b_b Bool)))
% 0.47/0.98  (define @t305 () (@var "X5" tptp.produc1213276845od_b_b))
% 0.47/0.98  (define @t306 () (lambda @t26 (and @t82 @t61)))
% 0.47/0.98  (define @t307 () (forall @t58 (=> @t57 @t290)))
% 0.47/0.98  (define @t308 () (=> @t307 (_ @t288 @t54)))
% 0.47/0.98  (define @t309 () (@var "X_1" tptp.b))
% 0.47/0.98  (define @t310 () (exists (@list @t309) (_ @t53 @t309)))
% 0.47/0.98  (define @t311 () (_ @t100 tptp.bot_bot_set_b))
% 0.47/0.98  (define @t312 () (_ @t106 tptp.bot_bo1343651123od_b_b))
% 0.47/0.98  (define @t313 () (@var "D" tptp.b))
% 0.47/0.98  (define @t314 () (_ tptp.insert_b @t91))
% 0.47/0.98  (define @t315 () (@var "D" tptp.product_prod_b_b))
% 0.47/0.98  (define @t316 () (= @t110 @t46))
% 0.47/0.98  (define @t317 () (_ @t137 @t48))
% 0.47/0.98  (define @t318 () (@list @t110 @t46))
% 0.47/0.98  (define @t319 () (= @t98 @t21))
% 0.47/0.98  (define @t320 () (_ @t142 @t23))
% 0.47/0.98  (define @t321 () (@list @t98 @t21))
% 0.47/0.98  (define @t322 () (= @t104 @t14))
% 0.47/0.98  (define @t323 () (_ @t132 @t16))
% 0.47/0.98  (define @t324 () (@list @t104 @t14))
% 0.47/0.98  (define @t325 () (_ tptp.collect_b (lambda @t26 (and (= @t21 @t24) @t61))))
% 0.47/0.98  (define @t326 () (not @t59))
% 0.47/0.98  (define @t327 () (_ tptp.collec1481886546od_b_b (lambda @t19 (and (= @t14 @t17) @t66))))
% 0.47/0.98  (define @t328 () (not @t282))
% 0.47/0.98  (define @t329 () (@list @t65 @t14))
% 0.47/0.98  (define @t330 () (_ tptp.collect_b (lambda @t26 (and @t25 @t61))))
% 0.47/0.98  (define @t331 () (_ tptp.collec1481886546od_b_b (lambda @t19 (and @t18 @t66))))
% 0.47/0.98  (define @t332 () (@var "V" tptp.b))
% 0.47/0.98  (define @t333 () (_ (_ tptp.insert_b @t332) tptp.bot_bot_set_b))
% 0.47/0.98  (define @t334 () (@var "L" tptp.standard_Constant_a))
% 0.47/0.98  (define @t335 () (_ tptp.getRel904497637nt_a_b @t334))
% 0.47/0.98  (define @t336 () (_ @t335 tptp.g))
% 0.47/0.98  (define @t337 () (@list @t332))
% 0.47/0.98  (define @t338 () (_ tptp.equiv_1821124534_set_b @t1))
% 0.47/0.98  (define @t339 () (_ tptp.product_Pair_b_b @t5))
% 0.47/0.98  (define @t340 () (_ tptp.member1285940496od_b_b (_ @t339 @t243)))
% 0.47/0.98  (define @t341 () (_ @t340 @t336))
% 0.47/0.98  (define @t342 () (@list @t5 @t243 @t334))
% 0.47/0.98  (define @t343 () (_ tptp.labele1424214014nt_a_b tptp.g))
% 0.47/0.98  (define @t344 () (_ @t258 @t343))
% 0.47/0.98  (define @t345 () (@var "X" tptp.labele1159362096nt_a_b))
% 0.47/0.98  (define @t346 () (_ tptp.restri446606278nt_a_b @t345))
% 0.47/0.98  (define @t347 () (_ @t35 tptp.bot_bo1343651123od_b_b))
% 0.47/0.98  (define @t348 () (@list @t34))
% 0.47/0.98  (define @t349 () (@var "Y22" tptp.b))
% 0.47/0.98  (define @t350 () (@var "X22" tptp.b))
% 0.47/0.98  (define @t351 () (@var "Y1" tptp.b))
% 0.47/0.98  (define @t352 () (@var "X1" tptp.b))
% 0.47/0.98  (define @t353 () (_ (_ tptp.product_Pair_b_b @t352) @t350))
% 0.47/0.98  (define @t354 () (@var "Y22" tptp.product_prod_b_b))
% 0.47/0.98  (define @t355 () (@var "X22" tptp.product_prod_b_b))
% 0.47/0.98  (define @t356 () (@var "Y1" tptp.standard_Constant_a))
% 0.47/0.98  (define @t357 () (@var "X1" tptp.standard_Constant_a))
% 0.47/0.98  (define @t358 () (_ (_ tptp.produc1432590431od_b_b @t357) @t355))
% 0.47/0.98  (define @t359 () (@var "B6" tptp.b))
% 0.47/0.98  (define @t360 () (= @t98 @t359))
% 0.47/0.98  (define @t361 () (@var "A4" tptp.b))
% 0.47/0.98  (define @t362 () (= @t21 @t361))
% 0.47/0.98  (define @t363 () (= @t171 (_ (_ tptp.product_Pair_b_b @t361) @t359)))
% 0.47/0.98  (define @t364 () (@list @t21 @t98 @t361 @t359))
% 0.47/0.98  (define @t365 () (@var "B6" tptp.product_prod_b_b))
% 0.47/0.98  (define @t366 () (= @t104 @t365))
% 0.47/0.98  (define @t367 () (@var "A4" tptp.standard_Constant_a))
% 0.47/0.98  (define @t368 () (= @t178 @t367))
% 0.47/0.98  (define @t369 () (= @t181 (_ (_ tptp.produc1432590431od_b_b @t367) @t365)))
% 0.47/0.98  (define @t370 () (@list @t178 @t104 @t367 @t365))
% 0.47/0.98  (define @t371 () (@var "S2" tptp.set_Product_prod_b_b))
% 0.47/0.98  (define @t372 () (_ tptp.converse_b_b @t371))
% 0.47/0.98  (define @t373 () (_ tptp.converse_b_b @t166))
% 0.47/0.98  (define @t374 () (@list @t166 @t371))
% 0.47/0.98  (define @t375 () (@list @t166))
% 0.47/0.98  (define @t376 () (@var "B" tptp.standard_Constant_a))
% 0.47/0.98  (define @t377 () (_ tptp.member1516365892od_b_b (_ (_ tptp.produc1432590431od_b_b @t376) @t14)))
% 0.47/0.98  (define @t378 () (_ @t377 @t175))
% 0.47/0.98  (define @t379 () (_ tptp.conver1398856763od_b_b @t175))
% 0.47/0.98  (define @t380 () (_ tptp.member1670214300tant_a (_ (_ tptp.produc1977323903tant_a @t14) @t376)))
% 0.47/0.98  (define @t381 () (_ @t380 @t379))
% 0.47/0.98  (define @t382 () (@list @t14 @t376 @t175))
% 0.47/0.98  (define @t383 () (@var "R2" tptp.set_Pr306736955tant_a))
% 0.47/0.98  (define @t384 () (_ tptp.member1670214300tant_a (_ (_ tptp.produc1977323903tant_a @t104) @t178)))
% 0.47/0.98  (define @t385 () (_ @t384 @t383))
% 0.47/0.98  (define @t386 () (_ tptp.conver1943590235tant_a @t383))
% 0.47/0.98  (define @t387 () (_ @t182 @t386))
% 0.47/0.98  (define @t388 () (@list @t178 @t104 @t383))
% 0.47/0.98  (define @t389 () (_ tptp.product_Pair_b_b @t98))
% 0.47/0.98  (define @t390 () (_ tptp.member1285940496od_b_b (_ @t389 @t21)))
% 0.47/0.98  (define @t391 () (_ @t390 @t166))
% 0.47/0.98  (define @t392 () (_ @t172 @t373))
% 0.47/0.98  (define @t393 () (@list @t21 @t98 @t166))
% 0.47/0.98  (define @t394 () (@var "G" tptp.labele1159362096nt_a_b))
% 0.47/0.98  (define @t395 () (_ tptp.labele1424214014nt_a_b @t394))
% 0.47/0.98  (define @t396 () (_ tptp.restri446606278nt_a_b @t394))
% 0.47/0.98  (define @t397 () (_ @t339 @t5))
% 0.47/0.98  (define @t398 () (@var "Labeled_graph2" tptp.labele1159362096nt_a_b))
% 0.47/0.98  (define @t399 () (@var "Labeled_graph" tptp.labele1159362096nt_a_b))
% 0.47/0.98  (define @t400 () (_ tptp.labele1424214014nt_a_b @t399))
% 0.47/0.98  (define @t401 () (_ tptp.labele1741081071nt_a_b @t399))
% 0.47/0.98  (define @t402 () (@var "X22" tptp.standard_Constant_a))
% 0.47/0.98  (define @t403 () (@var "X1" tptp.product_prod_b_b))
% 0.47/0.98  (define @t404 () (@var "P" (-> tptp.product_prod_b_b tptp.standard_Constant_a Bool)))
% 0.47/0.98  (define @t405 () (@var "A5" tptp.standard_Constant_a))
% 0.47/0.98  (define @t406 () (@var "B7" tptp.product_prod_b_b))
% 0.47/0.98  (define @t407 () (_ tptp.produc1432590431od_b_b @t405))
% 0.47/0.98  (define @t408 () (_ @t407 @t406))
% 0.47/0.98  (define @t409 () (@list @t405 @t406))
% 0.47/0.98  (define @t410 () (@var "P" (-> tptp.standard_Constant_a tptp.product_prod_b_b Bool)))
% 0.47/0.98  (define @t411 () (@var "A5" tptp.product_prod_b_b))
% 0.47/0.98  (define @t412 () (@var "B7" tptp.standard_Constant_a))
% 0.47/0.98  (define @t413 () (@var "P" (-> tptp.b tptp.b Bool)))
% 0.47/0.98  (define @t414 () (@var "A5" tptp.b))
% 0.47/0.98  (define @t415 () (@var "B7" tptp.b))
% 0.47/0.98  (define @t416 () (_ (_ tptp.product_Pair_b_b @t414) @t415))
% 0.47/0.98  (define @t417 () (@list @t414 @t415))
% 0.47/0.98  (define @t418 () (@var "A3" tptp.standard_Constant_a))
% 0.47/0.98  (define @t419 () (@var "A22" tptp.standard_Constant_a))
% 0.47/0.98  (define @t420 () (@var "A1" tptp.product_prod_b_b))
% 0.47/0.98  (define @t421 () (_ (_ tptp.member1670214300tant_a (_ (_ tptp.produc1977323903tant_a @t420) @t419)) @t379))
% 0.47/0.98  (define @t422 () (@list @t420 @t419 @t175))
% 0.47/0.98  (define @t423 () (@var "B3" tptp.standard_Constant_a))
% 0.47/0.98  (define @t424 () (@var "A3" tptp.product_prod_b_b))
% 0.47/0.98  (define @t425 () (@var "A22" tptp.product_prod_b_b))
% 0.47/0.98  (define @t426 () (@var "A1" tptp.standard_Constant_a))
% 0.47/0.99  (define @t427 () (_ (_ tptp.member1516365892od_b_b (_ (_ tptp.produc1432590431od_b_b @t426) @t425)) @t386))
% 0.47/0.99  (define @t428 () (@list @t426 @t425 @t383))
% 0.47/0.99  (define @t429 () (@var "A3" tptp.b))
% 0.47/0.99  (define @t430 () (@var "A22" tptp.b))
% 0.47/0.99  (define @t431 () (@var "A1" tptp.b))
% 0.47/0.99  (define @t432 () (_ (_ tptp.member1285940496od_b_b (_ (_ tptp.product_Pair_b_b @t431) @t430)) @t373))
% 0.47/0.99  (define @t433 () (@list @t431 @t430 @t166))
% 0.47/0.99  (define @t434 () (_ @t217 @t229))
% 0.47/0.99  (define @t435 () (_ tptp.member1516365892od_b_b @t434))
% 0.47/0.99  (define @t436 () (_ @t435 @t175))
% 0.47/0.99  (define @t437 () (@var "Yx" tptp.produc1367125253tant_a))
% 0.47/0.99  (define @t438 () (@list @t216 @t229))
% 0.47/0.99  (define @t439 () (@var "Y3" tptp.standard_Constant_a))
% 0.47/0.99  (define @t440 () (@var "Yx" tptp.produc1213276845od_b_b))
% 0.47/0.99  (define @t441 () (_ @t215 @t226))
% 0.47/0.99  (define @t442 () (_ tptp.member1285940496od_b_b @t441))
% 0.47/0.99  (define @t443 () (_ @t442 @t166))
% 0.47/0.99  (define @t444 () (_ tptp.product_Pair_b_b @t226))
% 0.47/0.99  (define @t445 () (_ @t444 @t56))
% 0.47/0.99  (define @t446 () (@var "Yx" tptp.product_prod_b_b))
% 0.47/0.99  (define @t447 () (@list @t56 @t226))
% 0.47/0.99  (define @t448 () (@var "Prod" tptp.product_prod_b_b))
% 0.47/0.99  (define @t449 () (forall @t417 (_ @t65 @t416)))
% 0.47/0.99  (define @t450 () (@var "Prod" tptp.produc1213276845od_b_b))
% 0.47/0.99  (define @t451 () (forall @t409 (_ @t283 @t408)))
% 0.47/0.99  (define @t452 () (@var "Y4" tptp.product_prod_b_b))
% 0.47/0.99  (define @t453 () (@var "Y4" tptp.produc1213276845od_b_b))
% 0.47/0.99  (define @t454 () (@list @t453))
% 0.47/0.99  (define @t455 () (@var "C3" tptp.b))
% 0.47/0.99  (define @t456 () (_ @t407 (_ (_ tptp.product_Pair_b_b @t415) @t455)))
% 0.47/0.99  (define @t457 () (@list @t405 @t415 @t455))
% 0.47/0.99  (define @t458 () (@var "P3" tptp.product_prod_b_b))
% 0.47/0.99  (define @t459 () (@var "P3" tptp.produc1213276845od_b_b))
% 0.47/0.99  (define @t460 () (_ @t172 (_ @t335 @t394)))
% 0.47/0.99  (define @t461 () (= @t394 @t396))
% 0.47/0.99  (define @t462 () (@list @t394 @t21 @t98 @t334))
% 0.47/0.99  (define @t463 () (_ tptp.refl_on_b @t79))
% 0.47/0.99  (define @t464 () (_ @t463 @t166))
% 0.47/0.99  (define @t465 () (@list @t79 @t166))
% 0.47/0.99  (define @t466 () (_ (_ tptp.refl_o2134473190od_b_b @t84) @t146))
% 0.47/0.99  (define @t467 () (@list @t84 @t146 @t14))
% 0.47/0.99  (define @t468 () (_ (_ tptp.refl_o1921098222od_b_b @t72) @t161))
% 0.47/0.99  (define @t469 () (@list @t72 @t161 @t46))
% 0.47/0.99  (define @t470 () (@list @t79 @t166 @t21))
% 0.47/0.99  (define @t471 () (_ tptp.produc546497367od_b_b @t34))
% 0.47/0.99  (define @t472 () (_ (_ tptp.member1652792080od_b_b (_ @t471 @t452)) @t146))
% 0.47/0.99  (define @t473 () (@list @t84 @t146 @t34 @t452))
% 0.47/0.99  (define @t474 () (_ (_ tptp.member1086024932od_b_b (_ (_ tptp.produc449289715od_b_b @t270) @t453)) @t161))
% 0.47/0.99  (define @t475 () (@list @t72 @t161 @t270 @t453))
% 0.47/0.99  (define @t476 () (_ @t340 @t166))
% 0.47/0.99  (define @t477 () (@list @t79 @t166 @t5 @t243))
% 0.47/0.99  (define @t478 () (_ (_ tptp.member1285940496od_b_b @t452) @t84))
% 0.47/0.99  (define @t479 () (_ (_ tptp.member1516365892od_b_b @t453) @t72))
% 0.47/0.99  (define @t480 () (_ (_ tptp.member_b @t243) @t79))
% 0.47/0.99  (define @t481 () (= @t205 @t224))
% 0.47/0.99  (define @t482 () (@list @t205 @t224))
% 0.47/0.99  (define @t483 () (_ tptp.is_singleton_b @t79))
% 0.47/0.99  (define @t484 () (= @t56 @t226))
% 0.47/0.99  (define @t485 () (_ tptp.is_sin1713057243od_b_b @t84))
% 0.47/0.99  (define @t486 () (= @t200 @t229))
% 0.47/0.99  (define @t487 () (@list @t200 @t229))
% 0.47/0.99  (define @t488 () (_ (_ tptp.insert1952693431od_b_b @t397) tptp.bot_bo1343651123od_b_b))
% 0.47/0.99  (define @t489 () (_ (_ tptp.insert1098249399od_b_b (_ @t471 @t34)) tptp.bot_bo1174586163od_b_b))
% 0.47/0.99  (define @t490 () (_ (_ tptp.insert_b @t24) tptp.bot_bot_set_b))
% 0.47/0.99  (define @t491 () (@var "A6" tptp.set_b))
% 0.47/0.99  (define @t492 () (@list @t491))
% 0.47/0.99  (define @t493 () (@var "A6" tptp.set_Product_prod_b_b))
% 0.47/0.99  (define @t494 () (@list @t493))
% 0.47/0.99  (define @t495 () (= (_ @t162 (_ @t271 tptp.bot_bo1664927607od_b_b)) (_ @t162 (_ (_ tptp.insert2037698781od_b_b @t453) tptp.bot_bo1664927607od_b_b))))
% 0.47/0.99  (define @t496 () (_ tptp.equiv_2048442231od_b_b @t72))
% 0.47/0.99  (define @t497 () (_ @t496 @t161))
% 0.47/0.99  (define @t498 () (= (_ @t167 @t9) (_ @t167 (_ @t244 tptp.bot_bot_set_b))))
% 0.47/0.99  (define @t499 () (_ tptp.equiv_equiv_b @t79))
% 0.47/0.99  (define @t500 () (_ @t499 @t166))
% 0.47/0.99  (define @t501 () (= (_ @t147 @t347) (_ @t147 (_ (_ tptp.insert1952693431od_b_b @t452) tptp.bot_bo1343651123od_b_b))))
% 0.47/0.99  (define @t502 () (_ tptp.equiv_1125628061od_b_b @t84))
% 0.47/0.99  (define @t503 () (_ @t502 @t146))
% 0.47/0.99  (define @t504 () (_ @t167 @t311))
% 0.47/0.99  (define @t505 () (= @t185 @t504))
% 0.47/0.99  (define @t506 () (=> @t173 @t505))
% 0.47/0.99  (define @t507 () (=> @t500 @t506))
% 0.47/0.99  (define @t508 () (@list @t79 @t166 @t21 @t98))
% 0.47/0.99  (define @t509 () (forall @t508 @t507))
% 0.47/0.99  (define @t510 () (_ @t147 @t312))
% 0.47/0.99  (define @t511 () (= @t187 @t510))
% 0.47/0.99  (define @t512 () (@list @t84 @t146 @t14 @t104))
% 0.47/0.99  (define @t513 () (_ @t137 @t72))
% 0.47/0.99  (define @t514 () (_ @t162 @t48))
% 0.47/0.99  (define @t515 () (_ @t142 @t79))
% 0.47/0.99  (define @t516 () (_ @t132 @t84))
% 0.47/0.99  (define @t517 () (@var "F" (-> tptp.b tptp.set_b)))
% 0.47/0.99  (define @t518 () (_ (_ tptp.equiv_1821124534_set_b @t166) @t517))
% 0.47/0.99  (define @t519 () (@var "Z3" tptp.b))
% 0.47/0.99  (define @t520 () (_ (_ tptp.labele1230159100nt_a_b (_ (_ tptp.insert2037698781od_b_b (_ @t180 (_ @t389 @t91))) tptp.bot_bo1664927607od_b_b)) (_ @t100 (_ @t314 tptp.bot_bot_set_b))))
% 0.47/0.99  (define @t521 () (_ tptp.total_on_b @t79))
% 0.47/0.99  (define @t522 () (_ @t521 @t166))
% 0.47/0.99  (define @t523 () (_ (_ tptp.labele1230159100nt_a_b @t401) @t400))
% 0.47/0.99  (define @t524 () (@list @t399))
% 0.47/0.99  (define @t525 () (@var "V2" tptp.set_b))
% 0.47/0.99  (define @t526 () (_ tptp.labele1230159100nt_a_b tptp.bot_bo1664927607od_b_b))
% 0.47/0.99  (define @t527 () (_ @t526 @t525))
% 0.47/0.99  (define @t528 () (@var "X22" tptp.set_b))
% 0.47/0.99  (define @t529 () (@var "X1" tptp.set_Pr1324126435od_b_b))
% 0.47/0.99  (define @t530 () (_ (_ tptp.labele1230159100nt_a_b @t529) @t528))
% 0.47/0.99  (define @t531 () (@list @t529 @t528))
% 0.47/0.99  (define @t532 () (@var "F" tptp.set_Product_prod_b_b))
% 0.47/0.99  (define @t533 () (@var "F" tptp.set_Pr357419743_b_b_b))
% 0.47/0.99  (define @t534 () (_ tptp.order_653178932r_on_b @t79))
% 0.47/0.99  (define @t535 () (@var "X12" tptp.set_Pr1324126435od_b_b))
% 0.47/0.99  (define @t536 () (@var "X23" tptp.set_b))
% 0.47/0.99  (define @t537 () (@list @t535 @t536))
% 0.47/0.99  (define @t538 () (lambda @t537 @t536))
% 0.47/0.99  (define @t539 () (@var "F" (-> tptp.product_prod_b_b tptp.b tptp.set_b)))
% 0.47/0.99  (define @t540 () (@var "R22" tptp.set_Product_prod_b_b))
% 0.47/0.99  (define @t541 () (_ tptp.equiv_1821124534_set_b @t540))
% 0.47/0.99  (define @t542 () (@var "R1" tptp.set_Pr2007082183od_b_b))
% 0.47/0.99  (define @t543 () (@var "F" (-> tptp.produc1213276845od_b_b tptp.b tptp.set_b)))
% 0.47/0.99  (define @t544 () (@var "R1" tptp.set_Pr2109276827od_b_b))
% 0.47/0.99  (define @t545 () (@var "F" (-> tptp.b tptp.b tptp.set_b)))
% 0.47/0.99  (define @t546 () (@var "R1" tptp.set_Product_prod_b_b))
% 0.47/0.99  (define @t547 () (_ tptp.ord_less_eq_set_b @t79))
% 0.47/0.99  (define @t548 () (_ @t547 @t115))
% 0.47/0.99  (define @t549 () (_ tptp.ord_le1036320359od_b_b @t84))
% 0.47/0.99  (define @t550 () (_ @t549 @t120))
% 0.47/0.99  (define @t551 () (_ tptp.ord_le123089219od_b_b @t72))
% 0.47/0.99  (define @t552 () (_ @t551 @t125))
% 0.47/0.99  (define @t553 () (_ tptp.ord_le1036320359od_b_b @t166))
% 0.47/0.99  (define @t554 () (_ @t553 @t371))
% 0.47/0.99  (define @t555 () (_ tptp.ord_le1036320359od_b_b @t373))
% 0.47/0.99  (define @t556 () (_ tptp.ord_less_eq_set_b tptp.bot_bot_set_b))
% 0.47/0.99  (define @t557 () (_ tptp.ord_le1036320359od_b_b tptp.bot_bo1343651123od_b_b))
% 0.47/0.99  (define @t558 () (and @t99 (_ @t547 @t311)))
% 0.47/0.99  (define @t559 () (and @t105 (_ @t549 @t312)))
% 0.47/0.99  (define @t560 () (@var "A7" tptp.set_b))
% 0.47/0.99  (define @t561 () (@var "R4" tptp.set_Product_prod_b_b))
% 0.47/0.99  (define @t562 () (_ (_ tptp.ord_less_eq_set_b @t63) @t289))
% 0.47/0.99  (define @t563 () (@var "B5" tptp.set_b))
% 0.47/0.99  (define @t564 () (_ @t81 @t563))
% 0.47/0.99  (define @t565 () (_ @t81 @t491))
% 0.47/0.99  (define @t566 () (@list @t491 @t563))
% 0.47/0.99  (define @t567 () (@var "B5" tptp.set_Product_prod_b_b))
% 0.47/0.99  (define @t568 () (_ @t86 @t567))
% 0.47/0.99  (define @t569 () (@list @t493 @t567))
% 0.47/0.99  (define @t570 () (@var "B5" tptp.set_Pr1324126435od_b_b))
% 0.47/0.99  (define @t571 () (_ @t75 @t570))
% 0.47/0.99  (define @t572 () (@var "A6" tptp.set_Pr1324126435od_b_b))
% 0.47/0.99  (define @t573 () (@list @t572 @t570))
% 0.47/0.99  (define @t574 () (@var "S2" tptp.set_Pr1324126435od_b_b))
% 0.47/0.99  (define @t575 () (@var "A" tptp.set_b))
% 0.47/0.99  (define @t576 () (= @t575 tptp.bot_bot_set_b))
% 0.47/0.99  (define @t577 () (_ (_ tptp.ord_less_eq_set_b @t575) tptp.bot_bot_set_b))
% 0.47/0.99  (define @t578 () (@list @t575))
% 0.47/0.99  (define @t579 () (@var "A" tptp.set_Product_prod_b_b))
% 0.47/0.99  (define @t580 () (= @t579 tptp.bot_bo1343651123od_b_b))
% 0.47/0.99  (define @t581 () (_ (_ tptp.ord_le1036320359od_b_b @t579) tptp.bot_bo1343651123od_b_b))
% 0.47/0.99  (define @t582 () (@list @t579))
% 0.47/0.99  (define @t583 () (@var "D2" tptp.set_b))
% 0.47/0.99  (define @t584 () (@var "C4" tptp.set_b))
% 0.47/0.99  (define @t585 () (@var "X3" tptp.set_Product_prod_b_b))
% 0.47/0.99  (define @t586 () (@var "P" Bool))
% 0.47/0.99  (define @t587 () (@list @t5 @t243))
% 0.47/0.99  (define @t588 () (_ tptp.member_b @t38))
% 0.47/0.99  (define @t589 () (lambda @t40 (_ @t588 @t3)))
% 0.47/0.99  (define @t590 () (lambda @t40 (_ @t588 @t4)))
% 0.47/0.99  (define @t591 () (= (_ tptp.hilbert_Eps_b @t590) (_ tptp.hilbert_Eps_b @t589)))
% 0.47/0.99  (define @t592 () (not @t591))
% 0.47/0.99  (define @t593 () (_ @t2 @t490))
% 0.47/0.99  (define @t594 () (lambda @t191 (_ @t588 @t593)))
% 0.47/0.99  (define @t595 () (lambda @t26 (_ (_ (_ tptp.if_b (= @t593 tptp.bot_bot_set_b)) @t24) (_ tptp.hilbert_Eps_b (_ tptp.p @t24)))))
% 0.47/0.99  (define @t596 () (lambda (@list @t424 @t567) (_ tptp.collec1481886546od_b_b (lambda @t19 (or (= @t17 @t424) @t568)))))
% 0.47/0.99  (define @t597 () (@var "A3" tptp.produc1213276845od_b_b))
% 0.47/0.99  (define @t598 () (lambda (@list @t597 @t570) (_ tptp.collec279084418od_b_b (lambda @t77 (or (= @t74 @t597) @t571)))))
% 0.47/0.99  (define @t599 () (lambda (@list @t429 @t563) (_ tptp.collect_b (lambda @t26 (or (= @t24 @t429) @t564)))))
% 0.47/0.99  (define @t600 () (lambda @t77 (_ @t75 tptp.bot_bo1664927607od_b_b)))
% 0.47/0.99  (define @t601 () (_ @t81 tptp.bot_bot_set_b))
% 0.47/0.99  (define @t602 () (lambda @t26 @t601))
% 0.47/0.99  (define @t603 () (lambda @t19 (_ @t86 tptp.bot_bo1343651123od_b_b)))
% 0.47/0.99  (define @t604 () (lambda @t197 (_ @t196 tptp.bot_bo1664927607od_b_b)))
% 0.47/0.99  (define @t605 () (lambda @t191 (_ @t190 tptp.bot_bo1343651123od_b_b)))
% 0.47/0.99  (define @t606 () (lambda @t492 (= @t491 (_ (_ tptp.insert_b (_ tptp.the_elem_b @t491)) tptp.bot_bot_set_b))))
% 0.47/0.99  (define @t607 () (lambda @t494 (= @t493 (_ (_ tptp.insert1952693431od_b_b (_ tptp.the_el329196508od_b_b @t493)) tptp.bot_bo1343651123od_b_b))))
% 0.47/0.99  (define @t608 () (@var "R3" tptp.set_Product_prod_b_b))
% 0.47/0.99  (define @t609 () (lambda (@list @t491 @t608) (forall @t26 (=> @t565 (forall @t40 (=> (_ @t588 @t491) (=> (not (= @t24 @t38)) (or (_ @t190 @t608) (_ (_ tptp.member1285940496od_b_b (_ (_ tptp.product_Pair_b_b @t38) @t24)) @t608)))))))))
% 0.47/0.99  (define @t610 () (lambda (@list @t608 @t24) (_ (_ tptp.image_b_b @t608) @t490)))
% 0.47/0.99  (define @t611 () (@var "T" tptp.b))
% 0.47/0.99  (define @t612 () (_ tptp.member_b @t611))
% 0.47/0.99  (define @t613 () (lambda @t566 (forall (@list @t611) (=> (_ @t612 @t491) (_ @t612 @t563)))))
% 0.47/0.99  (define @t614 () (@var "T" tptp.product_prod_b_b))
% 0.47/0.99  (define @t615 () (_ tptp.member1285940496od_b_b @t614))
% 0.47/0.99  (define @t616 () (lambda @t569 (forall (@list @t614) (=> (_ @t615 @t493) (_ @t615 @t567)))))
% 0.47/0.99  (define @t617 () (@var "T" tptp.produc1213276845od_b_b))
% 0.47/0.99  (define @t618 () (_ tptp.member1516365892od_b_b @t617))
% 0.47/0.99  (define @t619 () (lambda @t573 (forall (@list @t617) (=> (_ @t618 @t572) (_ @t618 @t570)))))
% 0.47/0.99  (define @t620 () (@var "BOUND_VARIABLE_19138" tptp.b))
% 0.47/0.99  (define @t621 () (lambda (@list @t620) false))
% 0.47/0.99  (define @t622 () (tptp.collect_b @t621))
% 0.47/0.99  (define @t623 () (_ tptp.collect_b @t621))
% 0.47/0.99  (define @t624 () (_ tptp.collect_b @t621))
% 0.47/0.99  (define @t625 () (tptp.member_b @t24 @t623))
% 0.47/0.99  (define @t626 () (or @t25 @t625))
% 0.47/0.99  (define @t627 () (lambda @t26 @t626))
% 0.47/0.99  (define @t628 () (tptp.collect_b @t627))
% 0.47/0.99  (define @t629 () (tptp.image_b_b @t166 @t628))
% 0.47/0.99  (define @t630 () (= @t24 @t98))
% 0.47/0.99  (define @t631 () (or @t630 @t625))
% 0.47/0.99  (define @t632 () (lambda @t26 @t631))
% 0.47/0.99  (define @t633 () (tptp.collect_b @t632))
% 0.47/0.99  (define @t634 () (tptp.image_b_b @t166 @t633))
% 0.47/0.99  (define @t635 () (= @t634 @t629))
% 0.47/0.99  (define @t636 () (tptp.product_Pair_b_b @t21 @t98))
% 0.47/0.99  (define @t637 () (tptp.member1285940496od_b_b @t636 @t166))
% 0.47/0.99  (define @t638 () (not @t637))
% 0.47/0.99  (define @t639 () (tptp.equiv_equiv_b @t79 @t166))
% 0.47/0.99  (define @t640 () (not @t639))
% 0.47/0.99  (define @t641 () (or @t640 @t638 @t635))
% 0.47/0.99  (define @t642 () (or @t640 @t638 (= @t629 @t634)))
% 0.47/0.99  (define @t643 () (tptp.member_b @t24 tptp.bot_bot_set_b))
% 0.47/0.99  (define @t644 () (or @t630 @t643))
% 0.47/0.99  (define @t645 () (lambda @t26 @t644))
% 0.47/0.99  (define @t646 () (tptp.collect_b @t645))
% 0.47/0.99  (define @t647 () (tptp.image_b_b @t166 @t646))
% 0.47/0.99  (define @t648 () (or @t25 @t643))
% 0.47/0.99  (define @t649 () (lambda @t26 @t648))
% 0.47/0.99  (define @t650 () (tptp.collect_b @t649))
% 0.47/0.99  (define @t651 () (tptp.image_b_b @t166 @t650))
% 0.47/0.99  (define @t652 () (= @t651 @t647))
% 0.47/0.99  (define @t653 () (or @t640 @t638 @t652))
% 0.47/0.99  (define @t654 () (or @t630 @t601))
% 0.47/0.99  (define @t655 () (lambda @t26 @t654))
% 0.47/0.99  (define @t656 () (_ tptp.collect_b @t655))
% 0.47/0.99  (define @t657 () (_ @t167 @t656))
% 0.47/0.99  (define @t658 () (or @t25 @t601))
% 0.47/0.99  (define @t659 () (lambda @t26 @t658))
% 0.47/0.99  (define @t660 () (_ tptp.collect_b @t659))
% 0.47/0.99  (define @t661 () (_ @t167 @t660))
% 0.47/0.99  (define @t662 () (= @t661 @t657))
% 0.47/0.99  (define @t663 () (not @t173))
% 0.47/0.99  (define @t664 () (not @t500))
% 0.47/0.99  (define @t665 () (or @t664 @t663 @t662))
% 0.47/0.99  (define @t666 () (=> @t173 @t662))
% 0.47/0.99  (define @t667 () (@list @t563))
% 0.47/0.99  (define @t668 () (lambda @t667 (_ tptp.collect_b (lambda @t26 (or @t630 @t564)))))
% 0.47/0.99  (define @t669 () (_ @t599 @t98))
% 0.47/0.99  (define @t670 () (lambda @t667 (_ tptp.collect_b (lambda @t26 (or @t25 @t564)))))
% 0.47/0.99  (define @t671 () (_ @t599 @t21))
% 0.47/0.99  (define @t672 () (= (_ @t167 (_ @t671 tptp.bot_bot_set_b)) (_ @t167 (_ @t669 tptp.bot_bot_set_b))))
% 0.47/0.99  (define @t673 () (=> @t173 @t672))
% 0.47/0.99  (define @t674 () (=> @t500 @t673))
% 0.47/0.99  (define @t675 () (tptp.member_b @t24 @t622))
% 0.47/0.99  (define @t676 () (= tptp.y @t24))
% 0.47/0.99  (define @t677 () (or @t676 @t675))
% 0.47/0.99  (define @t678 () (lambda @t26 @t677))
% 0.47/0.99  (define @t679 () (@purify @t678))
% 0.47/0.99  (define @t680 () (tptp.collect_b @t678))
% 0.47/0.99  (define @t681 () (tptp.getRel904497637nt_a_b tptp.standard_S_Idt_a tptp.g))
% 0.47/0.99  (define @t682 () (tptp.image_b_b @t681 @t680))
% 0.47/0.99  (define @t683 () (= tptp.x @t24))
% 0.47/0.99  (define @t684 () (or @t683 @t675))
% 0.47/0.99  (define @t685 () (lambda @t26 @t684))
% 0.47/0.99  (define @t686 () (@purify @t685))
% 0.47/0.99  (define @t687 () (tptp.collect_b @t685))
% 0.47/0.99  (define @t688 () (tptp.image_b_b @t681 @t687))
% 0.47/0.99  (define @t689 () (= @t688 @t682))
% 0.47/0.99  (define @t690 () (tptp.product_Pair_b_b tptp.x tptp.y))
% 0.47/0.99  (define @t691 () (tptp.member1285940496od_b_b @t690 @t681))
% 0.47/0.99  (define @t692 () (not @t691))
% 0.47/0.99  (define @t693 () (@purify @t538))
% 0.47/0.99  (define @t694 () (tptp.labele1287464530_set_b @t693 tptp.g))
% 0.47/0.99  (define @t695 () (tptp.equiv_equiv_b @t694 @t681))
% 0.47/0.99  (define @t696 () (not @t695))
% 0.47/0.99  (define @t697 () (or @t696 @t692 @t689))
% 0.47/0.99  (define @t698 () (forall @t508 (or @t640 @t638 (= (tptp.image_b_b @t166 (tptp.collect_b (lambda @t26 (or @t630 @t675)))) (tptp.image_b_b @t166 (tptp.collect_b (lambda @t26 (or @t25 @t675))))))))
% 0.47/0.99  (define @t699 () (= @t24 tptp.x))
% 0.47/0.99  (define @t700 () (or @t699 @t675))
% 0.47/0.99  (define @t701 () (lambda @t26 @t700))
% 0.47/0.99  (define @t702 () (tptp.collect_b @t701))
% 0.47/0.99  (define @t703 () (tptp.image_b_b @t681 @t702))
% 0.47/0.99  (define @t704 () (= @t24 tptp.y))
% 0.47/0.99  (define @t705 () (or @t704 @t675))
% 0.47/0.99  (define @t706 () (lambda @t26 @t705))
% 0.47/0.99  (define @t707 () (tptp.collect_b @t706))
% 0.47/0.99  (define @t708 () (tptp.image_b_b @t681 @t707))
% 0.47/0.99  (define @t709 () (= @t708 @t703))
% 0.47/0.99  (define @t710 () (or @t696 @t692 @t709))
% 0.47/0.99  (define @t711 () (tptp.image_b_b @t681 (tptp.collect_b @t679)))
% 0.47/0.99  (define @t712 () (tptp.image_b_b @t681 (tptp.collect_b @t686)))
% 0.47/0.99  (define @t713 () (= @t712 @t711))
% 0.47/0.99  (define @t714 () (or @t696 @t692 @t713))
% 0.47/0.99  (define @t715 () (@list false))
% 0.47/0.99  (define @t716 () (_ (_ tptp.labele1287464530_set_b @t693) tptp.g))
% 0.47/0.99  (define @t717 () (tptp.member_b @t38 @t688))
% 0.47/0.99  (define @t718 () (_ @t81 @t623))
% 0.47/0.99  (define @t719 () (or @t683 @t718))
% 0.47/0.99  (define @t720 () (lambda @t26 @t719))
% 0.47/0.99  (define @t721 () (_ @t588 (_ @t2 (_ tptp.collect_b @t720))))
% 0.47/0.99  (define @t722 () (lambda @t40 @t721))
% 0.47/0.99  (define @t723 () (@purify @t722))
% 0.47/0.99  (define @t724 () (_ @t723 @t38))
% 0.47/0.99  (define @t725 () (_ @t81 @t624))
% 0.47/0.99  (define @t726 () (lambda @t26 (or @t683 @t725)))
% 0.47/0.99  (define @t727 () (_ tptp.collect_b @t726))
% 0.47/0.99  (define @t728 () (_ @t2 @t727))
% 0.47/0.99  (define @t729 () (_ tptp.image_b_b @t681))
% 0.47/0.99  (define @t730 () (= @t721 @t724))
% 0.47/0.99  (define @t731 () (_ @t722 @t38))
% 0.47/0.99  (define @t732 () (= @t724 @t731))
% 0.47/0.99  (define @t733 () (forall @t40 @t732))
% 0.47/0.99  (define @t734 () (@const 0 tptp.b))
% 0.47/0.99  (define @t735 () (tptp.member_b @t734 @t688))
% 0.47/0.99  (define @t736 () (_ @t723 @t734))
% 0.47/0.99  (define @t737 () (= @t736 @t735))
% 0.47/0.99  (define @t738 () (forall @t40 (= @t724 @t717)))
% 0.47/0.99  (define @t739 () (@list @t734))
% 0.47/0.99  (define @t740 () (tptp.member_b @t734 @t712))
% 0.47/0.99  (define @t741 () (= @t736 @t740))
% 0.47/0.99  (define @t742 () (or @t676 @t718))
% 0.47/0.99  (define @t743 () (lambda @t26 @t742))
% 0.47/0.99  (define @t744 () (_ @t588 (_ @t2 (_ tptp.collect_b @t743))))
% 0.47/0.99  (define @t745 () (lambda @t40 @t744))
% 0.47/0.99  (define @t746 () (@purify @t745))
% 0.47/0.99  (define @t747 () (tptp.hilbert_Eps_b @t746))
% 0.47/0.99  (define @t748 () (tptp.hilbert_Eps_b @t723))
% 0.47/0.99  (define @t749 () (_ tptp.hilbert_Eps_b @t723))
% 0.47/0.99  (define @t750 () (_ tptp.hilbert_Eps_b @t746))
% 0.47/0.99  (define @t751 () (_ tptp.hilbert_Eps_b @t722))
% 0.47/0.99  (define @t752 () (_ tptp.hilbert_Eps_b @t745))
% 0.47/0.99  (define @t753 () (= @t752 @t751))
% 0.47/0.99  (define @t754 () (or @t676 @t601))
% 0.47/0.99  (define @t755 () (lambda @t26 @t754))
% 0.47/0.99  (define @t756 () (_ tptp.collect_b @t755))
% 0.47/0.99  (define @t757 () (lambda @t40 (_ @t588 (_ @t2 @t756))))
% 0.47/0.99  (define @t758 () (or @t683 @t601))
% 0.47/0.99  (define @t759 () (lambda @t26 @t758))
% 0.47/0.99  (define @t760 () (_ tptp.collect_b @t759))
% 0.47/0.99  (define @t761 () (lambda @t40 (_ @t588 (_ @t2 @t760))))
% 0.47/0.99  (define @t762 () (= (_ tptp.hilbert_Eps_b @t761) (_ tptp.hilbert_Eps_b @t757)))
% 0.47/0.99  (define @t763 () (or @t704 @t564))
% 0.47/0.99  (define @t764 () (lambda @t26 @t763))
% 0.47/0.99  (define @t765 () (lambda @t667 (_ tptp.collect_b @t764)))
% 0.47/0.99  (define @t766 () (_ @t599 tptp.y))
% 0.47/0.99  (define @t767 () (lambda @t40 (_ @t588 (_ @t2 (_ @t766 tptp.bot_bot_set_b)))))
% 0.47/0.99  (define @t768 () (or @t699 @t564))
% 0.47/0.99  (define @t769 () (lambda @t26 @t768))
% 0.47/0.99  (define @t770 () (lambda @t667 (_ tptp.collect_b @t769)))
% 0.47/0.99  (define @t771 () (_ @t599 tptp.x))
% 0.47/0.99  (define @t772 () (lambda @t40 (_ @t588 (_ @t2 (_ @t771 tptp.bot_bot_set_b)))))
% 0.47/0.99  (define @t773 () (= (_ tptp.hilbert_Eps_b @t772) (_ tptp.hilbert_Eps_b @t767)))
% 0.47/0.99  (define @t774 () (= @t723 @t746))
% 0.47/0.99  (define @t775 () (= @t748 @t747))
% 0.47/0.99  (define @t776 () (not @t774))
% 0.47/0.99  (define @t777 () (@list true))
% 0.47/0.99  (define @t778 () (_ @t746 @t734))
% 0.47/0.99  (define @t779 () (= @t736 @t778))
% 0.47/0.99  (define @t780 () (not @t779))
% 0.47/0.99  (define @t781 () (not @t741))
% 0.47/0.99  (define @t782 () (not @t736))
% 0.47/0.99  (define @t783 () (tptp.member_b @t38 @t682))
% 0.47/0.99  (define @t784 () (_ @t746 @t38))
% 0.47/0.99  (define @t785 () (lambda @t26 (or @t676 @t725)))
% 0.47/0.99  (define @t786 () (_ tptp.collect_b @t785))
% 0.47/0.99  (define @t787 () (_ @t2 @t786))
% 0.47/0.99  (define @t788 () (= @t744 @t784))
% 0.47/0.99  (define @t789 () (_ @t745 @t38))
% 0.47/0.99  (define @t790 () (= @t784 @t789))
% 0.47/0.99  (define @t791 () (forall @t40 @t790))
% 0.47/0.99  (define @t792 () (tptp.member_b @t734 @t682))
% 0.47/0.99  (define @t793 () (= @t778 @t792))
% 0.47/0.99  (define @t794 () (forall @t40 (= @t784 @t783)))
% 0.47/0.99  (define @t795 () (tptp.member_b @t734 @t711))
% 0.47/0.99  (define @t796 () (= @t778 @t795))
% 0.47/0.99  (define @t797 () (not @t796))
% 0.47/0.99  (define @t798 () (not @t795))
% 0.47/0.99  (define @t799 () (and @t713 @t740))
% 0.47/0.99  (define @t800 () (not @t740))
% 0.47/0.99  (define @t801 () (not @t713))
% 0.47/0.99  (define @t802 () (and @t713 @t800))
% 0.47/0.99  (assume @p1 (= @t4 @t3))
% 0.47/0.99  (assume @p2 (= tptp.g (_ tptp.restri446606278nt_a_b tptp.g)))
% 0.47/0.99  (assume @p3 (forall @t11 (=> (not @t10) (= (_ tptp.hilbert_Eps_b (_ tptp.p @t7)) @t7))))
% 0.47/0.99  (assume @p4 @t13)
% 0.47/0.99  (assume @p5 (forall @t20 (= (_ tptp.collec1481886546od_b_b (lambda @t19 @t18)) @t16)))
% 0.47/0.99  (assume @p6 (forall @t27 (= (_ tptp.collect_b (lambda @t26 @t25)) @t23)))
% 0.47/0.99  (assume @p7 (forall @t20 (= (_ tptp.collec1481886546od_b_b (_ (lambda (@list @t29 @t28) (= @t29 @t28)) @t14)) @t16)))
% 0.47/0.99  (assume @p8 (forall @t27 (= (_ tptp.collect_b (_ @t32 @t21)) @t23)))
% 0.47/0.99  (assume @p9 (forall (@list @t34 @t33) (= (_ tptp.collec1481886546od_b_b (lambda (@list @t36) (or (= @t36 @t34) (= @t36 @t33)))) (_ @t35 (_ (_ tptp.insert1952693431od_b_b @t33) tptp.bot_bo1343651123od_b_b)))))
% 0.47/0.99  (assume @p10 (forall (@list @t5 @t37) (= (_ tptp.collect_b (lambda @t40 (or @t39 (= @t38 @t37)))) (_ @t8 (_ (_ tptp.insert_b @t37) tptp.bot_bot_set_b)))))
% 0.47/0.99  (assume @p11 (forall (@list @t41) (= (_ (_ tptp.image_b_b tptp.bot_bo1343651123od_b_b) @t41) tptp.bot_bot_set_b)))
% 0.47/0.99  (assume @p12 (forall (@list @t42) (= (_ (_ tptp.image_b_b @t42) tptp.bot_bot_set_b) tptp.bot_bot_set_b)))
% 0.47/0.99  (assume @p13 (forall (@list @t43) (= (_ (_ tptp.image_1177096571od_b_b @t43) tptp.bot_bot_set_b) tptp.bot_bo1343651123od_b_b)))
% 0.47/0.99  (assume @p14 (forall (@list @t44) (= (_ (_ tptp.image_921732011_b_b_b @t44) tptp.bot_bo1343651123od_b_b) tptp.bot_bot_set_b)))
% 0.47/0.99  (assume @p15 (forall (@list @t45) (= (_ (_ tptp.image_1928024979od_b_b @t45) tptp.bot_bo1343651123od_b_b) tptp.bot_bo1343651123od_b_b)))
% 0.47/0.99  (assume @p16 (forall @t50 (_ @t49 @t48)))
% 0.47/0.99  (assume @p17 (forall @t27 (_ @t51 @t23)))
% 0.47/0.99  (assume @p18 (forall @t20 (_ @t52 @t16)))
% 0.47/0.99  (assume @p19 (forall @t60 (=> @t59 (=> (forall @t58 (=> @t57 (= @t56 @t21))) @t55))))
% 0.47/0.99  (assume @p20 (forall @t11 (= (_ tptp.hilbert_Eps_b (lambda @t40 @t39)) @t5)))
% 0.47/0.99  (assume @p21 (forall @t64 (= (= tptp.bot_bot_set_b @t63) @t62)))
% 0.47/0.99  (assume @p22 (forall @t69 (= (= tptp.bot_bo1343651123od_b_b @t68) @t67)))
% 0.47/0.99  (assume @p23 (forall @t64 (= @t70 @t62)))
% 0.47/0.99  (assume @p24 (forall @t69 (= @t71 @t67)))
% 0.47/0.99  (assume @p25 (forall @t78 (= (forall @t77 (not @t76)) @t73)))
% 0.47/0.99  (assume @p26 (forall @t83 (= (forall @t26 (not @t82)) @t80)))
% 0.47/0.99  (assume @p27 (forall @t88 (= (forall @t19 (not @t87)) @t85)))
% 0.47/0.99  (assume @p28 (forall (@list @t89) (not (_ @t90 tptp.bot_bo1664927607od_b_b))))
% 0.47/0.99  (assume @p29 (forall (@list @t91) (not (_ @t92 tptp.bot_bot_set_b))))
% 0.47/0.99  (assume @p30 (forall (@list @t93) (not (_ @t94 tptp.bot_bo1343651123od_b_b))))
% 0.47/0.99  (assume @p31 (forall @t96 (= (_ @t8 @t95) @t95)))
% 0.47/0.99  (assume @p32 (forall @t102 (= @t101 (or @t99 @t97))))
% 0.47/0.99  (assume @p33 (forall @t108 (= @t107 (or @t105 @t103))))
% 0.47/0.99  (assume @p34 (forall @t114 (= @t113 (or @t111 @t109))))
% 0.47/0.99  (assume @p35 (forall @t119 (=> (=> (not @t118) @t99) @t117)))
% 0.47/0.99  (assume @p36 (forall @t124 (=> (=> (not @t123) @t105) @t122)))
% 0.47/0.99  (assume @p37 (forall @t129 (=> (=> (not @t128) @t111) @t127)))
% 0.47/0.99  (assume @p38 (forall @t11 (= (_ tptp.hilbert_Eps_b (_ @t32 @t5)) @t5)))
% 0.47/0.99  (assume @p39 (forall (@list @t21 @t104 @t130 @t79) (=> @t134 (=> @t97 @t133))))
% 0.47/0.99  (assume @p40 (forall (@list @t21 @t110 @t135 @t79) (=> @t139 (=> @t97 @t138))))
% 0.47/0.99  (assume @p41 (forall (@list @t14 @t98 @t140 @t84) (=> @t145 (=> @t103 @t143))))
% 0.47/0.99  (assume @p42 (forall (@list @t14 @t104 @t146 @t84) (=> @t150 (=> @t103 @t148))))
% 0.47/0.99  (assume @p43 (forall (@list @t14 @t110 @t151 @t84) (=> @t154 (=> @t103 @t153))))
% 0.47/0.99  (assume @p44 (forall (@list @t46 @t98 @t155 @t72) (=> @t157 (=> @t109 @t156))))
% 0.47/0.99  (assume @p45 (forall (@list @t46 @t104 @t158 @t72) (=> @t160 (=> @t109 @t159))))
% 0.47/0.99  (assume @p46 (forall (@list @t46 @t110 @t161 @t72) (=> @t165 (=> @t109 @t163))))
% 0.47/0.99  (assume @p47 (forall (@list @t21 @t98 @t166 @t79) (=> @t173 (=> @t97 @t169))))
% 0.47/0.99  (assume @p48 (forall (@list @t178 @t104 @t175 @t174) (=> @t183 (=> @t179 @t177))))
% 0.47/0.99  (assume @p49 (forall (@list @t104 @t175 @t178) (= (_ @t132 @t184) @t183)))
% 0.47/0.99  (assume @p50 (forall (@list @t104 @t130 @t21) (= (_ @t132 (_ @t131 @t23)) @t134)))
% 0.47/0.99  (assume @p51 (forall (@list @t110 @t135 @t21) (= (_ @t137 (_ @t136 @t23)) @t139)))
% 0.47/0.99  (assume @p52 (forall (@list @t98 @t166 @t21) (= (_ @t142 @t185) @t173)))
% 0.47/0.99  (assume @p53 (forall (@list @t98 @t140 @t14) (= (_ @t142 @t186) @t145)))
% 0.47/0.99  (assume @p54 (forall (@list @t104 @t146 @t14) (= (_ @t132 @t187) @t150)))
% 0.47/0.99  (assume @p55 (forall (@list @t110 @t151 @t14) (= (_ @t137 (_ @t152 @t16)) @t154)))
% 0.47/0.99  (assume @p56 (forall (@list @t42 @t188) (= (= (lambda @t191 (_ @t190 @t42)) (lambda @t191 (_ @t190 @t188))) (= @t42 @t188))))
% 0.47/0.99  (assume @p57 (forall (@list @t193 @t192) (= (= (lambda @t197 (_ @t196 @t193)) (lambda @t197 (_ @t196 @t192))) (= @t193 @t192))))
% 0.47/0.99  (assume @p58 (forall (@list @t21 @t79 @t104 @t130) (=> @t97 (=> @t134 @t133))))
% 0.47/0.99  (assume @p59 (forall (@list @t21 @t79 @t110 @t135) (=> @t97 (=> @t139 @t138))))
% 0.47/0.99  (assume @p60 (forall (@list @t14 @t84 @t98 @t140) (=> @t103 (=> @t145 @t143))))
% 0.47/0.99  (assume @p61 (forall (@list @t14 @t84 @t104 @t146) (=> @t103 (=> @t150 @t148))))
% 0.47/0.99  (assume @p62 (forall (@list @t14 @t84 @t110 @t151) (=> @t103 (=> @t154 @t153))))
% 0.47/0.99  (assume @p63 (forall (@list @t46 @t72 @t98 @t155) (=> @t109 (=> @t157 @t156))))
% 0.47/0.99  (assume @p64 (forall (@list @t46 @t72 @t104 @t158) (=> @t109 (=> @t160 @t159))))
% 0.47/0.99  (assume @p65 (forall (@list @t46 @t72 @t110 @t161) (=> @t109 (=> @t165 @t163))))
% 0.47/0.99  (assume @p66 (forall (@list @t21 @t79 @t98 @t166) (=> @t97 (=> @t173 @t169))))
% 0.47/0.99  (assume @p67 (forall (@list @t178 @t174 @t104 @t175) (=> @t179 (=> @t183 @t177))))
% 0.47/0.99  (assume @p68 (forall @t198 (= @t169 (exists @t26 (and @t82 (_ (_ tptp.member1285940496od_b_b (_ @t189 @t98)) @t166))))))
% 0.47/0.99  (assume @p69 (forall @t199 (= @t177 (exists (@list @t194) (and (_ (_ tptp.member1632892294tant_a @t194) @t174) (_ (_ tptp.member1516365892od_b_b (_ @t195 @t104)) @t175))))))
% 0.47/0.99  (assume @p70 (forall (@list @t98 @t140 @t84) (=> @t143 (not (forall @t204 (=> (_ (_ tptp.member351494440_b_b_b (_ (_ tptp.produc1001682799_b_b_b @t200) @t98)) @t140) @t203))))))
% 0.47/0.99  (assume @p71 (forall (@list @t98 @t155 @t72) (=> @t156 (not (forall @t209 (=> (_ (_ tptp.member1417789726_b_b_b (_ (_ tptp.produc1580777273_b_b_b @t205) @t98)) @t155) @t208))))))
% 0.47/0.99  (assume @p72 (forall (@list @t104 @t130 @t79) (=> @t133 (not (forall @t58 (=> (_ (_ tptp.member641857272od_b_b (_ (_ tptp.produc1257047359od_b_b @t56) @t104)) @t130) @t212))))))
% 0.47/0.99  (assume @p73 (forall (@list @t104 @t146 @t84) (=> @t148 (not (forall @t204 (=> (_ (_ tptp.member1652792080od_b_b (_ @t213 @t104)) @t146) @t203))))))
% 0.47/0.99  (assume @p74 (forall (@list @t104 @t158 @t72) (=> @t159 (not (forall @t209 (=> (_ (_ tptp.member942707974od_b_b (_ (_ tptp.produc1597690145od_b_b @t205) @t104)) @t158) @t208))))))
% 0.47/0.99  (assume @p75 (forall (@list @t110 @t135 @t79) (=> @t138 (not (forall @t58 (=> (_ (_ tptp.member599505522od_b_b (_ (_ tptp.produc800495189od_b_b @t56) @t110)) @t135) @t212))))))
% 0.47/0.99  (assume @p76 (forall (@list @t110 @t151 @t84) (=> @t153 (not (forall @t204 (=> (_ (_ tptp.member4694106od_b_b (_ (_ tptp.produc732676669od_b_b @t200) @t110)) @t151) @t203))))))
% 0.47/0.99  (assume @p77 (forall (@list @t110 @t161 @t72) (=> @t163 (not (forall @t209 (=> (_ (_ tptp.member1086024932od_b_b (_ @t214 @t110)) @t161) @t208))))))
% 0.47/0.99  (assume @p78 (forall @t198 (=> @t169 (not (forall @t58 (=> (_ (_ tptp.member1285940496od_b_b (_ @t215 @t98)) @t166) @t212))))))
% 0.47/0.99  (assume @p79 (forall @t199 (=> @t177 (not (forall (@list @t216) (=> (_ (_ tptp.member1516365892od_b_b (_ @t217 @t104)) @t175) (not (_ (_ tptp.member1632892294tant_a @t216) @t174))))))))
% 0.47/0.99  (assume @p80 (forall (@list @t175 @t178) (= @t184 (_ tptp.collec1481886546od_b_b (lambda (@list @t218) (_ (_ tptp.member1516365892od_b_b (_ @t180 @t218)) @t175))))))
% 0.47/0.99  (assume @p81 (forall (@list @t166 @t21) (= @t185 (_ tptp.collect_b (lambda @t220 (_ (_ tptp.member1285940496od_b_b (_ @t170 @t219)) @t166))))))
% 0.47/0.99  (assume @p82 (forall (@list @t140 @t14) (= @t186 (_ tptp.collect_b (lambda @t220 (_ (_ tptp.member351494440_b_b_b (_ @t144 @t219)) @t140))))))
% 0.47/0.99  (assume @p83 (forall @t78 (= (exists @t77 @t76) @t221)))
% 0.47/0.99  (assume @p84 (forall @t83 (= (exists @t26 @t82) @t222)))
% 0.47/0.99  (assume @p85 (forall @t88 (= (exists @t19 @t87) @t223)))
% 0.47/0.99  (assume @p86 (forall @t78 (=> (forall (@list @t224) (not @t225)) @t73)))
% 0.47/0.99  (assume @p87 (forall @t83 (=> (forall @t228 (not @t227)) @t80)))
% 0.47/0.99  (assume @p88 (forall @t88 (=> (forall (@list @t229) (not @t230)) @t85)))
% 0.47/0.99  (assume @p89 (forall (@list @t72 @t46) (=> @t73 @t231)))
% 0.47/0.99  (assume @p90 (forall (@list @t79 @t21) (=> @t80 @t232)))
% 0.47/0.99  (assume @p91 (forall (@list @t84 @t14) (=> @t85 @t233)))
% 0.47/0.99  (assume @p92 (forall @t50 (not (_ @t49 tptp.bot_bo1664927607od_b_b))))
% 0.47/0.99  (assume @p93 (forall @t27 (not (_ @t51 tptp.bot_bot_set_b))))
% 0.47/0.99  (assume @p94 (forall @t20 (not (_ @t52 tptp.bot_bo1343651123od_b_b))))
% 0.47/0.99  (assume @p95 (forall @t236 (=> @t97 (exists @t235 (and (= @t79 (_ @t22 @t234)) (not (_ @t51 @t234)))))))
% 0.47/0.99  (assume @p96 (forall @t239 (=> @t103 (exists @t238 (and (= @t84 (_ @t15 @t237)) (not (_ @t52 @t237)))))))
% 0.47/0.99  (assume @p97 (forall @t242 (=> @t109 (exists @t241 (and (= @t72 (_ @t47 @t240)) (not (_ @t49 @t240)))))))
% 0.47/0.99  (assume @p98 (forall (@list @t5 @t243 @t79) (= (_ @t8 (_ @t244 @t79)) (_ @t244 @t95))))
% 0.47/0.99  (assume @p99 (forall (@list @t21 @t79 @t98 @t115) (=> @t232 (=> (not (_ @t142 @t115)) (= (= @t248 @t116) (and (=> @t99 @t247) (=> @t246 (exists (@list @t245) (and (= @t79 (_ @t100 @t245)) (not (_ @t142 @t245)) (= @t115 (_ @t22 @t245)) (not (_ @t51 @t245)))))))))))
% 0.47/0.99  (assume @p100 (forall (@list @t14 @t84 @t104 @t120) (=> @t233 (=> (not (_ @t132 @t120)) (= (= @t252 @t121) (and (=> @t105 @t251) (=> @t250 (exists (@list @t249) (and (= @t84 (_ @t106 @t249)) (not (_ @t132 @t249)) (= @t120 (_ @t15 @t249)) (not (_ @t52 @t249)))))))))))
% 0.47/0.99  (assume @p101 (forall (@list @t46 @t72 @t110 @t125) (=> @t231 (=> (not (_ @t137 @t125)) (= (= @t256 @t126) (and (=> @t111 @t255) (=> @t254 (exists (@list @t253) (and (= @t72 (_ @t112 @t253)) (not (_ @t137 @t253)) (= @t125 (_ @t47 @t253)) (not (_ @t49 @t253)))))))))))
% 0.47/0.99  (assume @p102 (forall @t236 (=> @t97 (= @t248 @t79))))
% 0.47/0.99  (assume @p103 (forall @t239 (=> @t103 (= @t252 @t84))))
% 0.47/0.99  (assume @p104 (forall @t242 (=> @t109 (= @t256 @t72))))
% 0.47/0.99  (assume @p105 (forall @t262 (=> @t261 (=> (not @t259) (= (= @t95 @t257) @t247)))))
% 0.47/0.99  (assume @p106 (forall @t269 (=> @t268 (=> (not @t266) (= (= @t264 @t263) @t251)))))
% 0.47/0.99  (assume @p107 (forall @t278 (=> @t277 (=> (not @t275) (= (= @t273 @t272) @t255)))))
% 0.47/0.99  (assume @p108 (forall @t96 (=> @t260 (not (forall @t235 (=> (= @t79 (_ @t8 @t234)) (_ @t258 @t234)))))))
% 0.47/0.99  (assume @p109 (forall (@list @t34 @t84) (=> @t267 (not (forall @t238 (=> (= @t84 (_ @t35 @t237)) (_ @t265 @t237)))))))
% 0.47/0.99  (assume @p110 (forall (@list @t270 @t72) (=> @t276 (not (forall @t241 (=> (= @t72 (_ @t271 @t240)) (_ @t274 @t240)))))))
% 0.47/0.99  (assume @p111 (forall @t119 (=> @t118 @t117)))
% 0.47/0.99  (assume @p112 (forall @t124 (=> @t123 @t122)))
% 0.47/0.99  (assume @p113 (forall @t129 (=> @t128 @t127)))
% 0.47/0.99  (assume @p114 (forall (@list @t21 @t115) (_ @t51 @t279)))
% 0.47/0.99  (assume @p115 (forall (@list @t14 @t120) (_ @t52 (_ @t15 @t120))))
% 0.47/0.99  (assume @p116 (forall (@list @t46 @t125) (_ @t49 (_ @t47 @t125))))
% 0.47/0.99  (assume @p117 (forall @t102 (=> @t101 (=> @t246 @t97))))
% 0.47/0.99  (assume @p118 (forall @t108 (=> @t107 (=> @t250 @t103))))
% 0.47/0.99  (assume @p119 (forall @t114 (=> @t113 (=> @t254 @t109))))
% 0.47/0.99  (assume @p120 (forall (@list @t53 @t21 @t98) (=> @t55 (=> (_ @t53 @t98) @t59))))
% 0.47/0.99  (assume @p121 (forall (@list @t280 @t281) (=> (_ @t280 @t281) (_ @t280 (_ tptp.hilbert_Eps_b @t280)))))
% 0.47/0.99  (assume @p122 (forall (@list @t14 @t65) (= (_ @t52 @t68) @t282)))
% 0.47/0.99  (assume @p123 (forall (@list @t46 @t283) (= (_ @t49 (_ tptp.collec279084418od_b_b @t283)) (_ @t283 @t46))))
% 0.47/0.99  (assume @p124 (forall @t284 (= (_ @t51 @t63) @t59)))
% 0.47/0.99  (assume @p125 (forall @t88 (= (_ tptp.collec1481886546od_b_b @t285) @t84)))
% 0.47/0.99  (assume @p126 (forall @t78 (= (_ tptp.collec279084418od_b_b @t286) @t72)))
% 0.47/0.99  (assume @p127 (forall @t83 (= (_ tptp.collect_b @t287) @t79)))
% 0.47/0.99  (assume @p128 (forall @t292 (=> @t291 (= @t63 @t289))))
% 0.47/0.99  (assume @p129 (forall @t292 (=> @t291 (= @t54 (_ tptp.hilbert_Eps_b @t288)))))
% 0.47/0.99  (assume @p130 (forall (@list @t53 @t5) (=> (_ @t53 @t5) @t293)))
% 0.47/0.99  (assume @p131 @t295)
% 0.47/0.99  (assume @p132 (= tptp.bot_bo1343651123od_b_b (_ tptp.collec1481886546od_b_b (lambda @t19 false))))
% 0.47/0.99  (assume @p133 (forall @t284 (= (_ @t22 @t63) (_ tptp.collect_b (lambda (@list @t296) (=> (not (= @t296 @t21)) (_ @t53 @t296)))))))
% 0.47/0.99  (assume @p134 (forall @t60 (=> (exists @t298 (and @t297 (forall @t228 (=> (_ @t53 @t226) (= @t226 @t281))))) (=> @t59 @t55))))
% 0.47/0.99  (assume @p135 (forall @t64 (= @t293 (exists (@list @t299) (_ @t53 @t299)))))
% 0.47/0.99  (assume @p136 (forall (@list @t84 @t65 @t301) (=> (exists (@list @t302) (and (_ (_ tptp.member1285940496od_b_b @t302) @t84) (_ @t65 @t302))) (=> (forall @t204 (=> (and @t202 (_ @t65 @t200)) (_ @t301 @t200))) (_ @t301 (_ tptp.hilber620807523od_b_b @t300))))))
% 0.47/0.99  (assume @p137 (forall (@list @t72 @t283 @t304) (=> (exists (@list @t305) (and (_ (_ tptp.member1516365892od_b_b @t305) @t72) (_ @t283 @t305))) (=> (forall @t209 (=> (and @t207 (_ @t283 @t205)) (_ @t304 @t205))) (_ @t304 (_ tptp.hilber46179633od_b_b @t303))))))
% 0.47/0.99  (assume @p138 (forall (@list @t79 @t53 @t288) (=> (exists @t298 (and (_ (_ tptp.member_b @t281) @t79) @t297)) (=> (forall @t58 (=> (and @t211 @t57) @t290)) (_ @t288 (_ tptp.hilbert_Eps_b @t306))))))
% 0.47/0.99  (assume @p139 (forall @t292 (=> @t310 @t308)))
% 0.47/0.99  (assume @p140 (forall @t64 (=> @t310 @t293)))
% 0.47/0.99  (assume @p141 (forall (@list @t53 @t21 @t288) (=> @t59 @t308)))
% 0.47/0.99  (assume @p142 (forall (@list @t21 @t98) (=> (= @t23 @t311) @t99)))
% 0.47/0.99  (assume @p143 (forall (@list @t14 @t104) (=> (= @t16 @t312) @t105)))
% 0.47/0.99  (assume @p144 (forall @t236 (not (= @t248 tptp.bot_bot_set_b))))
% 0.47/0.99  (assume @p145 (forall @t239 (not (= @t252 tptp.bot_bo1343651123od_b_b))))
% 0.47/0.99  (assume @p146 (forall (@list @t21 @t98 @t91 @t313) (= (= (_ @t22 @t311) (_ @t314 (_ (_ tptp.insert_b @t313) tptp.bot_bot_set_b))) (or (and (= @t21 @t91) (= @t98 @t313)) (and (= @t21 @t313) (= @t98 @t91))))))
% 0.47/0.99  (assume @p147 (forall (@list @t14 @t104 @t93 @t315) (= (= (_ @t15 @t312) (_ (_ tptp.insert1952693431od_b_b @t93) (_ (_ tptp.insert1952693431od_b_b @t315) tptp.bot_bo1343651123od_b_b))) (or (and (= @t14 @t93) (= @t104 @t315)) (and (= @t14 @t315) (= @t104 @t93))))))
% 0.47/0.99  (assume @p148 (forall @t318 (= @t317 @t316)))
% 0.47/0.99  (assume @p149 (forall @t321 (= @t320 @t319)))
% 0.47/0.99  (assume @p150 (forall @t324 (= @t323 @t322)))
% 0.47/0.99  (assume @p151 (forall @t318 (=> @t317 @t316)))
% 0.47/0.99  (assume @p152 (forall @t321 (=> @t320 @t319)))
% 0.47/0.99  (assume @p153 (forall @t324 (=> @t323 @t322)))
% 0.47/0.99  (assume @p154 (forall @t60 (and (=> @t59 (= @t325 @t23)) (=> @t326 (= @t325 tptp.bot_bot_set_b)))))
% 0.47/0.99  (assume @p155 (forall @t329 (and (=> @t282 (= @t327 @t16)) (=> @t328 (= @t327 tptp.bot_bo1343651123od_b_b)))))
% 0.47/0.99  (assume @p156 (forall @t60 (and (=> @t59 (= @t330 @t23)) (=> @t326 (= @t330 tptp.bot_bot_set_b)))))
% 0.47/0.99  (assume @p157 (forall @t329 (and (=> @t282 (= @t331 @t16)) (=> @t328 (= @t331 tptp.bot_bo1343651123od_b_b)))))
% 0.47/0.99  (assume @p158 (forall @t78 (= (_ (_ tptp.member1516365892od_b_b (_ tptp.hilber46179633od_b_b @t286)) @t72) @t221)))
% 0.47/0.99  (assume @p159 (forall @t83 (= (_ (_ tptp.member_b (_ tptp.hilbert_Eps_b @t287)) @t79) @t222)))
% 0.47/0.99  (assume @p160 (forall @t88 (= (_ (_ tptp.member1285940496od_b_b (_ tptp.hilber620807523od_b_b @t285)) @t84) @t223)))
% 0.47/0.99  (assume @p161 (forall @t342 (=> @t341 (_ @t338 (lambda @t337 (_ (_ tptp.image_b_b @t336) @t333))))))
% 0.47/0.99  (assume @p162 (forall @t11 (=> @t344 (_ (_ tptp.member1285940496od_b_b (_ @t339 @t7)) @t1))))
% 0.47/0.99  (assume @p163 (_ (_ tptp.member1516365892od_b_b (_ (_ tptp.produc1432590431od_b_b tptp.standard_S_Idt_a) @t12)) (_ tptp.labele1741081071nt_a_b tptp.g)))
% 0.47/0.99  (assume @p164 (forall (@list @t345) (= (_ tptp.restri446606278nt_a_b @t346) @t346)))
% 0.47/0.99  (assume @p165 (forall @t11 (= @t10 (not @t344))))
% 0.47/0.99  (assume @p166 (forall @t11 (= @t344 (_ @t6 @t5))))
% 0.47/0.99  (assume @p167 (forall @t342 (=> @t341 (_ @t338 (lambda @t337 (_ (_ tptp.image_b_b (_ tptp.converse_b_b @t336)) @t333))))))
% 0.47/0.99  (assume @p168 (forall @t11 (= (_ tptp.the_elem_b @t9) @t5)))
% 0.47/0.99  (assume @p169 (forall @t348 (= (_ tptp.the_el329196508od_b_b @t347) @t34)))
% 0.47/0.99  (assume @p170 (forall (@list @t352 @t350 @t351 @t349) (= (= @t353 (_ (_ tptp.product_Pair_b_b @t351) @t349)) (and (= @t352 @t351) (= @t350 @t349)))))
% 0.47/0.99  (assume @p171 (forall (@list @t357 @t355 @t356 @t354) (= (= @t358 (_ (_ tptp.produc1432590431od_b_b @t356) @t354)) (and (= @t357 @t356) (= @t355 @t354)))))
% 0.47/0.99  (assume @p172 (forall @t364 (= @t363 (and @t362 @t360))))
% 0.47/0.99  (assume @p173 (forall @t370 (= @t369 (and @t368 @t366))))
% 0.47/0.99  (assume @p174 (forall @t374 (= (= @t373 @t372) (= @t166 @t371))))
% 0.47/0.99  (assume @p175 (forall @t375 (= (_ tptp.converse_b_b @t373) @t166)))
% 0.47/0.99  (assume @p176 (forall @t382 (= @t381 @t378)))
% 0.47/0.99  (assume @p177 (forall @t388 (= @t387 @t385)))
% 0.47/0.99  (assume @p178 (forall @t393 (= @t392 @t391)))
% 0.47/0.99  (assume @p179 (forall (@list @t394) (= (_ tptp.labele1424214014nt_a_b @t396) @t395)))
% 0.47/0.99  (assume @p180 (= (_ tptp.converse_b_b tptp.bot_bo1343651123od_b_b) tptp.bot_bo1343651123od_b_b))
% 0.47/0.99  (assume @p181 (forall @t11 (=> @t344 (_ (_ tptp.member1285940496od_b_b @t397) @t1))))
% 0.47/0.99  (assume @p182 (forall (@list @t399 @t398) (=> (and (= @t401 (_ tptp.labele1741081071nt_a_b @t398)) (= @t400 (_ tptp.labele1424214014nt_a_b @t398))) (= @t399 @t398))))
% 0.47/0.99  (assume @p183 (forall (@list @t403 @t402 @t175 @t404) (=> (_ (_ tptp.member1670214300tant_a (_ (_ tptp.produc1977323903tant_a @t403) @t402)) @t379) (=> (forall @t409 (=> (_ (_ tptp.member1516365892od_b_b @t408) @t175) (_ (_ @t404 @t406) @t405))) (_ (_ @t404 @t403) @t402)))))
% 0.47/0.99  (assume @p184 (forall (@list @t357 @t355 @t383 @t410) (=> (_ (_ tptp.member1516365892od_b_b @t358) @t386) (=> (forall (@list @t411 @t412) (=> (_ (_ tptp.member1670214300tant_a (_ (_ tptp.produc1977323903tant_a @t411) @t412)) @t383) (_ (_ @t410 @t412) @t411))) (_ (_ @t410 @t357) @t355)))))
% 0.47/0.99  (assume @p185 (forall (@list @t352 @t350 @t166 @t413) (=> (_ (_ tptp.member1285940496od_b_b @t353) @t373) (=> (forall @t417 (=> (_ (_ tptp.member1285940496od_b_b @t416) @t166) (_ (_ @t413 @t415) @t414))) (_ (_ @t413 @t352) @t350)))))
% 0.47/0.99  (assume @p186 (forall (@list @t14 @t376 @t383) (=> (_ @t380 @t383) (_ @t377 @t386))))
% 0.47/0.99  (assume @p187 (forall (@list @t178 @t104 @t175) (=> @t183 (_ @t384 @t379))))
% 0.47/0.99  (assume @p188 (forall @t393 (=> @t173 (_ @t390 @t373))))
% 0.47/0.99  (assume @p189 (forall @t422 (= @t421 (exists (@list @t418 @t218) (and (= @t420 @t218) (= @t419 @t418) (_ (_ tptp.member1516365892od_b_b (_ (_ tptp.produc1432590431od_b_b @t418) @t218)) @t175))))))
% 0.47/0.99  (assume @p190 (forall @t428 (= @t427 (exists (@list @t424 @t423) (and (= @t426 @t423) (= @t425 @t424) (_ (_ tptp.member1670214300tant_a (_ (_ tptp.produc1977323903tant_a @t424) @t423)) @t383))))))
% 0.47/0.99  (assume @p191 (forall @t433 (= @t432 (exists (@list @t429 @t219) (and (= @t431 @t219) (= @t430 @t429) (_ (_ tptp.member1285940496od_b_b (_ (_ tptp.product_Pair_b_b @t429) @t219)) @t166))))))
% 0.47/0.99  (assume @p192 (forall @t422 (=> @t421 (_ (_ tptp.member1516365892od_b_b (_ (_ tptp.produc1432590431od_b_b @t419) @t420)) @t175))))
% 0.47/0.99  (assume @p193 (forall @t428 (=> @t427 (_ (_ tptp.member1670214300tant_a (_ (_ tptp.produc1977323903tant_a @t425) @t426)) @t383))))
% 0.47/0.99  (assume @p194 (forall @t433 (=> @t432 (_ (_ tptp.member1285940496od_b_b (_ (_ tptp.product_Pair_b_b @t430) @t431)) @t166))))
% 0.47/0.99  (assume @p195 (forall (@list @t437 @t175) (=> (_ (_ tptp.member1670214300tant_a @t437) @t379) (not (forall @t438 (=> (= @t437 (_ (_ tptp.produc1977323903tant_a @t229) @t216)) (not @t436)))))))
% 0.47/0.99  (assume @p196 (forall (@list @t440 @t383) (=> (_ (_ tptp.member1516365892od_b_b @t440) @t386) (not (forall (@list @t200 @t439) (=> (= @t440 (_ (_ tptp.produc1432590431od_b_b @t439) @t200)) (not (_ (_ tptp.member1670214300tant_a (_ (_ tptp.produc1977323903tant_a @t200) @t439)) @t383))))))))
% 0.47/0.99  (assume @p197 (forall (@list @t446 @t166) (=> (_ (_ tptp.member1285940496od_b_b @t446) @t373) (not (forall @t447 (=> (= @t446 @t445) (not @t443)))))))
% 0.47/0.99  (assume @p198 (forall @t382 (=> @t381 @t378)))
% 0.47/0.99  (assume @p199 (forall @t388 (=> @t387 @t385)))
% 0.47/0.99  (assume @p200 (forall @t393 (=> @t392 @t391)))
% 0.47/0.99  (assume @p201 (= tptp.bot_bot_set_b (_ tptp.collect_b tptp.bot_bot_b_o)))
% 0.47/0.99  (assume @p202 (= tptp.bot_bo1343651123od_b_b (_ tptp.collec1481886546od_b_b tptp.bot_bo1302443370_b_b_o)))
% 0.47/0.99  (assume @p203 (forall (@list @t65 @t448) (=> @t449 (_ @t65 @t448))))
% 0.47/0.99  (assume @p204 (forall (@list @t283 @t450) (=> @t451 (_ @t283 @t450))))
% 0.47/0.99  (assume @p205 (forall (@list @t452) (not (forall @t417 (not (= @t452 @t416))))))
% 0.47/0.99  (assume @p206 (forall @t454 (not (forall @t409 (not (= @t453 @t408))))))
% 0.47/0.99  (assume @p207 (forall (@list @t283 @t270) (=> (forall @t457 (_ @t283 @t456)) (_ @t283 @t270))))
% 0.47/0.99  (assume @p208 (forall @t454 (not (forall @t457 (not (= @t453 @t456))))))
% 0.47/0.99  (assume @p209 (forall @t364 (=> @t363 (not (=> @t362 (not @t360))))))
% 0.47/0.99  (assume @p210 (forall @t370 (=> @t369 (not (=> @t368 (not @t366))))))
% 0.47/0.99  (assume @p211 (forall (@list @t65 @t458) (=> @t449 (_ @t65 @t458))))
% 0.47/0.99  (assume @p212 (forall (@list @t283 @t459) (=> @t451 (_ @t283 @t459))))
% 0.47/0.99  (assume @p213 (forall (@list @t458) (exists @t447 (= @t458 @t441))))
% 0.47/0.99  (assume @p214 (forall (@list @t459) (exists @t438 (= @t459 @t434))))
% 0.47/0.99  (assume @p215 (_ (_ tptp.refl_on_b @t343) @t1))
% 0.47/0.99  (assume @p216 (_ (_ tptp.equiv_equiv_b @t343) @t1))
% 0.47/0.99  (assume @p217 (forall @t462 (=> @t461 (=> @t460 (_ @t51 @t395)))))
% 0.47/0.99  (assume @p218 (forall @t462 (=> @t461 (=> @t460 (_ @t142 @t395)))))
% 0.47/0.99  (assume @p219 (forall @t465 (= (_ @t463 @t373) @t464)))
% 0.47/0.99  (assume @p220 (forall @t11 (_ tptp.is_singleton_b @t9)))
% 0.47/0.99  (assume @p221 (forall @t348 (_ tptp.is_sin1713057243od_b_b @t347)))
% 0.47/0.99  (assume @p222 (forall @t467 (=> @t466 (=> @t103 (_ (_ tptp.member1652792080od_b_b (_ @t149 @t14)) @t146)))))
% 0.47/0.99  (assume @p223 (forall @t469 (=> @t468 (=> @t109 (_ (_ tptp.member1086024932od_b_b (_ @t164 @t46)) @t161)))))
% 0.47/0.99  (assume @p224 (forall @t470 (=> @t464 (=> @t97 (_ (_ tptp.member1285940496od_b_b (_ @t170 @t21)) @t166)))))
% 0.47/0.99  (assume @p225 (forall @t473 (=> @t466 (=> @t472 @t267))))
% 0.47/0.99  (assume @p226 (forall @t475 (=> @t468 (=> @t474 @t276))))
% 0.47/0.99  (assume @p227 (forall @t477 (=> @t464 (=> @t476 @t260))))
% 0.47/0.99  (assume @p228 (forall @t473 (=> @t466 (=> @t472 @t478))))
% 0.47/0.99  (assume @p229 (forall @t475 (=> @t468 (=> @t474 @t479))))
% 0.47/0.99  (assume @p230 (forall @t477 (=> @t464 (=> @t476 @t480))))
% 0.47/0.99  (assume @p231 (_ (_ tptp.refl_on_b tptp.bot_bot_set_b) tptp.bot_bo1343651123od_b_b))
% 0.47/0.99  (assume @p232 (_ (_ tptp.refl_o2134473190od_b_b tptp.bot_bo1343651123od_b_b) tptp.bot_bo1174586163od_b_b))
% 0.47/0.99  (assume @p233 (forall @t78 (=> @t221 (=> (forall @t482 (=> @t207 (=> @t225 @t481))) (_ tptp.is_sin1465183929od_b_b @t72)))))
% 0.47/0.99  (assume @p234 (forall @t83 (=> @t222 (=> (forall @t447 (=> @t211 (=> @t227 @t484))) @t483))))
% 0.47/0.99  (assume @p235 (forall @t88 (=> @t223 (=> (forall @t487 (=> @t202 (=> @t230 @t486))) @t485))))
% 0.47/0.99  (assume @p236 (forall @t11 (_ (_ tptp.refl_on_b @t9) @t488)))
% 0.47/0.99  (assume @p237 (forall @t348 (_ (_ tptp.refl_o2134473190od_b_b @t347) @t489)))
% 0.47/0.99  (assume @p238 (= tptp.is_singleton_b (lambda @t492 (exists @t26 (= @t491 @t490)))))
% 0.47/0.99  (assume @p239 (= tptp.is_sin1713057243od_b_b (lambda @t494 (exists @t19 (= @t493 (_ (_ tptp.insert1952693431od_b_b @t17) tptp.bot_bo1343651123od_b_b))))))
% 0.47/0.99  (assume @p240 (forall @t83 (=> @t483 (not (forall @t58 (not (= @t79 (_ (_ tptp.insert_b @t56) tptp.bot_bot_set_b))))))))
% 0.47/0.99  (assume @p241 (forall @t88 (=> @t485 (not (forall @t204 (not (= @t84 (_ (_ tptp.insert1952693431od_b_b @t200) tptp.bot_bo1343651123od_b_b))))))))
% 0.47/0.99  (assume @p242 (forall @t475 (=> @t497 (= @t474 (and @t495 @t276 @t479)))))
% 0.47/0.99  (assume @p243 (forall @t477 (=> @t500 (= @t476 (and @t498 @t260 @t480)))))
% 0.47/0.99  (assume @p244 (forall @t473 (=> @t503 (= @t472 (and @t501 @t267 @t478)))))
% 0.47/0.99  (assume @p245 (forall @t475 (=> @t497 (=> @t276 (=> @t479 (= @t495 @t474))))))
% 0.47/0.99  (assume @p246 (forall @t477 (=> @t500 (=> @t260 (=> @t480 (= @t498 @t476))))))
% 0.47/0.99  (assume @p247 (forall @t473 (=> @t503 (=> @t267 (=> @t478 (= @t501 @t472))))))
% 0.47/0.99  (assume @p248 @t509)
% 0.47/0.99  (assume @p249 (forall @t512 (=> @t503 (=> @t150 @t511))))
% 0.47/0.99  (assume @p250 (forall (@list @t161 @t46 @t110 @t72) (=> (= @t514 (_ @t162 (_ @t112 tptp.bot_bo1664927607od_b_b))) (=> @t497 (=> @t513 @t165)))))
% 0.47/0.99  (assume @p251 (forall (@list @t166 @t21 @t98 @t79) (=> @t505 (=> @t500 (=> @t515 @t173)))))
% 0.47/0.99  (assume @p252 (forall (@list @t146 @t14 @t104 @t84) (=> @t511 (=> @t503 (=> @t516 @t150)))))
% 0.47/0.99  (assume @p253 (forall (@list @t166 @t517) (=> (forall (@list @t226 @t519) (=> (_ (_ tptp.member1285940496od_b_b (_ @t444 @t519)) @t166) (= (_ @t517 @t226) (_ @t517 @t519)))) @t518)))
% 0.47/0.99  (assume @p254 (forall (@list @t166 @t517 @t243 @t37) (=> @t518 (=> (_ (_ tptp.member1285940496od_b_b (_ (_ tptp.product_Pair_b_b @t243) @t37)) @t166) (= (_ @t517 @t243) (_ @t517 @t37))))))
% 0.47/0.99  (assume @p255 (forall @t469 (=> @t497 (=> @t109 (_ @t49 @t514)))))
% 0.47/0.99  (assume @p256 (forall @t470 (=> @t500 (=> @t97 (_ @t51 @t185)))))
% 0.47/0.99  (assume @p257 (forall @t467 (=> @t503 (=> @t103 (_ @t52 @t187)))))
% 0.47/0.99  (assume @p258 (forall @t64 (= @t70 (= @t53 tptp.bot_bot_b_o))))
% 0.47/0.99  (assume @p259 (forall @t69 (= @t71 (= @t65 tptp.bot_bo1302443370_b_b_o))))
% 0.47/0.99  (assume @p260 (forall (@list @t178 @t98 @t91) (= @t520 (_ tptp.restri446606278nt_a_b @t520))))
% 0.47/0.99  (assume @p261 (forall @t512 (=> @t466 (=> @t150 (and @t103 @t516)))))
% 0.47/0.99  (assume @p262 (forall (@list @t72 @t161 @t46 @t110) (=> @t468 (=> @t165 (and @t109 @t513)))))
% 0.47/0.99  (assume @p263 (forall @t508 (=> @t464 (=> @t173 (and @t97 @t515)))))
% 0.47/0.99  (assume @p264 (forall @t11 (_ (_ tptp.total_on_b @t9) @t488)))
% 0.47/0.99  (assume @p265 (forall @t348 (_ (_ tptp.total_178717291od_b_b @t347) @t489)))
% 0.47/0.99  (assume @p266 (forall @t465 (= (_ @t521 @t373) @t522)))
% 0.47/0.99  (assume @p267 (forall @t524 (= @t523 @t399)))
% 0.47/0.99  (assume @p268 (forall (@list @t525) (= @t527 (_ tptp.restri446606278nt_a_b @t527))))
% 0.47/0.99  (assume @p269 (forall (@list @t84 @t146) (=> (forall @t487 (=> @t202 (=> @t230 (=> (not @t486) (or (_ (_ tptp.member1652792080od_b_b (_ @t213 @t229)) @t146) (_ (_ tptp.member1652792080od_b_b (_ (_ tptp.produc546497367od_b_b @t229) @t200)) @t146)))))) (_ (_ tptp.total_178717291od_b_b @t84) @t146))))
% 0.47/0.99  (assume @p270 (forall (@list @t72 @t161) (=> (forall @t482 (=> @t207 (=> @t225 (=> (not @t481) (or (_ (_ tptp.member1086024932od_b_b (_ @t214 @t224)) @t161) (_ (_ tptp.member1086024932od_b_b (_ (_ tptp.produc449289715od_b_b @t224) @t205)) @t161)))))) (_ (_ tptp.total_771970601od_b_b @t72) @t161))))
% 0.47/0.99  (assume @p271 (forall @t465 (=> (forall @t447 (=> @t211 (=> @t227 (=> (not @t484) (or @t443 (_ (_ tptp.member1285940496od_b_b @t445) @t166)))))) @t522)))
% 0.47/0.99  (assume @p272 (forall @t375 (_ (_ tptp.total_on_b tptp.bot_bot_set_b) @t166)))
% 0.47/0.99  (assume @p273 (forall (@list @t146) (_ (_ tptp.total_178717291od_b_b tptp.bot_bo1343651123od_b_b) @t146)))
% 0.47/0.99  (assume @p274 (forall @t531 (= (_ tptp.labele1424214014nt_a_b @t530) @t528)))
% 0.47/0.99  (assume @p275 (forall @t531 (= (_ tptp.labele1741081071nt_a_b @t530) @t529)))
% 0.47/0.99  (assume @p276 (forall @t524 (= @t399 @t523)))
% 0.47/0.99  (assume @p277 (forall @t11 (_ (_ tptp.order_653178932r_on_b @t9) @t488)))
% 0.47/0.99  (assume @p278 (forall @t348 (_ (_ tptp.order_609163036od_b_b @t347) @t489)))
% 0.47/0.99  (assume @p279 (forall (@list @t394 @t532) (= (_ (_ (_ tptp.graph_222606102_a_b_b (_ @t526 tptp.bot_bot_set_b)) @t394) @t532) (and (= @t532 tptp.bot_bo1343651123od_b_b) @t461))))
% 0.47/0.99  (assume @p280 (forall (@list @t394 @t533) (= (_ (_ (_ tptp.graph_792023598_b_b_b (_ (_ tptp.labele170595300od_b_b tptp.bot_bo1964903287od_b_b) tptp.bot_bo1343651123od_b_b)) @t394) @t533) (and (= @t533 tptp.bot_bo1124087115_b_b_b) @t461))))
% 0.47/0.99  (assume @p281 (forall @t465 (= (_ @t534 @t373) (_ @t534 @t166))))
% 0.47/0.99  (assume @p282 (= tptp.labele1741081071nt_a_b (_ tptp.labele377702064od_b_b (lambda @t537 @t535))))
% 0.47/0.99  (assume @p283 (= tptp.labele1424214014nt_a_b (_ tptp.labele1287464530_set_b @t538)))
% 0.47/0.99  (assume @p284 (_ (_ tptp.order_653178932r_on_b tptp.bot_bot_set_b) tptp.bot_bo1343651123od_b_b))
% 0.47/0.99  (assume @p285 (_ (_ tptp.order_609163036od_b_b tptp.bot_bo1343651123od_b_b) tptp.bot_bo1174586163od_b_b))
% 0.47/0.99  (assume @p286 (forall (@list @t84 @t542 @t540 @t539 @t14) (=> (_ @t502 @t542) (=> (_ (_ (_ tptp.equiv_1036235914_set_b @t542) @t540) @t539) (=> @t103 (_ @t541 (_ @t539 @t14)))))))
% 0.47/0.99  (assume @p287 (forall (@list @t72 @t544 @t540 @t543 @t46) (=> (_ @t496 @t544) (=> (_ (_ (_ tptp.equiv_1629197578_set_b @t544) @t540) @t543) (=> @t109 (_ @t541 (_ @t543 @t46)))))))
% 0.47/0.99  (assume @p288 (forall (@list @t79 @t546 @t540 @t545 @t21) (=> (_ @t499 @t546) (=> (_ (_ (_ tptp.equiv_167626658_set_b @t546) @t540) @t545) (=> @t97 (_ @t541 (_ @t545 @t21)))))))
% 0.47/0.99  (assume @p289 (forall @t508 (=> @t500 (=> @t173 (_ (_ tptp.ord_less_eq_set_b @t185) @t504)))))
% 0.47/0.99  (assume @p290 (forall @t512 (=> @t503 (=> @t150 (_ (_ tptp.ord_le1036320359od_b_b @t187) @t510)))))
% 0.47/0.99  (assume @p291 (forall (@list @t79 @t115) (=> (forall @t58 (=> @t211 (_ @t210 @t115))) @t548)))
% 0.47/0.99  (assume @p292 (forall (@list @t84 @t120) (=> (forall @t204 (=> @t202 (_ @t201 @t120))) @t550)))
% 0.47/0.99  (assume @p293 (forall (@list @t72 @t125) (=> (forall @t209 (=> @t207 (_ @t206 @t125))) @t552)))
% 0.47/0.99  (assume @p294 (forall @t374 (= (_ @t555 @t372) @t554)))
% 0.47/0.99  (assume @p295 (forall @t83 (_ @t556 @t79)))
% 0.47/0.99  (assume @p296 (forall @t88 (_ @t557 @t84)))
% 0.47/0.99  (assume @p297 (forall @t83 (= (_ @t547 tptp.bot_bot_set_b) @t80)))
% 0.47/0.99  (assume @p298 (forall @t88 (= (_ @t549 tptp.bot_bo1343651123od_b_b) @t85)))
% 0.47/0.99  (assume @p299 (forall @t262 (= (_ (_ tptp.ord_less_eq_set_b @t95) @t115) (and @t259 @t548))))
% 0.47/0.99  (assume @p300 (forall @t269 (= (_ (_ tptp.ord_le1036320359od_b_b @t264) @t120) (and @t266 @t550))))
% 0.47/0.99  (assume @p301 (forall @t278 (= (_ (_ tptp.ord_le123089219od_b_b @t273) @t125) (and @t275 @t552))))
% 0.47/0.99  (assume @p302 (forall (@list @t21 @t79 @t98) (= (= @t248 @t311) @t558)))
% 0.47/0.99  (assume @p303 (forall (@list @t14 @t84 @t104) (= (= @t252 @t312) @t559)))
% 0.47/0.99  (assume @p304 (forall (@list @t98 @t21 @t79) (= (= @t311 @t248) @t558)))
% 0.47/0.99  (assume @p305 (forall (@list @t104 @t14 @t84) (= (= @t312 @t252) @t559)))
% 0.47/0.99  (assume @p306 (forall (@list @t561 @t166 @t560 @t79) (=> (_ (_ tptp.ord_le1036320359od_b_b @t561) @t166) (=> (_ (_ tptp.ord_less_eq_set_b @t560) @t79) (_ (_ tptp.ord_less_eq_set_b (_ (_ tptp.image_b_b @t561) @t560)) @t168)))))
% 0.47/0.99  (assume @p307 (forall (@list @t84 @t65) (_ (_ tptp.ord_le1036320359od_b_b (_ tptp.collec1481886546od_b_b @t300)) @t84)))
% 0.47/0.99  (assume @p308 (forall (@list @t72 @t283) (_ (_ tptp.ord_le123089219od_b_b (_ tptp.collec279084418od_b_b @t303)) @t72)))
% 0.47/0.99  (assume @p309 (forall (@list @t79 @t53) (_ (_ tptp.ord_less_eq_set_b (_ tptp.collect_b @t306)) @t79)))
% 0.47/0.99  (assume @p310 (forall @t292 (= @t562 (forall @t26 (=> @t61 (_ @t288 @t24))))))
% 0.47/0.99  (assume @p311 (forall @t292 (=> @t307 @t562)))
% 0.47/0.99  (assume @p312 (= tptp.ord_less_eq_set_b (lambda @t566 (forall @t26 (=> @t565 @t564)))))
% 0.47/0.99  (assume @p313 (= tptp.ord_le1036320359od_b_b (lambda @t569 (forall @t19 (=> (_ @t86 @t493) @t568)))))
% 0.47/0.99  (assume @p314 (= tptp.ord_le123089219od_b_b (lambda @t573 (forall @t77 (=> (_ @t75 @t572) @t571)))))
% 0.47/0.99  (assume @p315 (forall (@list @t79 @t115 @t91) (=> @t548 (=> (_ @t92 @t79) (_ @t92 @t115)))))
% 0.47/0.99  (assume @p316 (forall (@list @t84 @t120 @t93) (=> @t550 (=> (_ @t94 @t84) (_ @t94 @t120)))))
% 0.47/0.99  (assume @p317 (forall (@list @t72 @t125 @t89) (=> @t552 (=> (_ @t90 @t72) (_ @t90 @t125)))))
% 0.47/0.99  (assume @p318 (forall (@list @t79 @t115 @t5) (=> @t548 (=> @t260 @t259))))
% 0.47/0.99  (assume @p319 (forall (@list @t84 @t120 @t34) (=> @t550 (=> @t267 @t266))))
% 0.47/0.99  (assume @p320 (forall (@list @t72 @t125 @t270) (=> @t552 (=> @t276 @t275))))
% 0.47/0.99  (assume @p321 (forall @t374 (= (_ @t553 @t372) (_ @t555 @t371))))
% 0.47/0.99  (assume @p322 (forall @t374 (=> (forall @t447 (=> @t443 (_ @t442 @t371))) @t554)))
% 0.47/0.99  (assume @p323 (forall (@list @t175 @t574) (=> (forall @t438 (=> @t436 (_ @t435 @t574))) (_ (_ tptp.ord_le123089219od_b_b @t175) @t574))))
% 0.47/0.99  (assume @p324 (forall @t578 (=> @t577 @t576)))
% 0.47/0.99  (assume @p325 (forall @t582 (=> @t581 @t580)))
% 0.47/0.99  (assume @p326 (forall @t578 (= @t577 @t576)))
% 0.47/0.99  (assume @p327 (forall @t582 (= @t581 @t580)))
% 0.47/0.99  (assume @p328 (forall @t578 (_ @t556 @t575)))
% 0.47/0.99  (assume @p329 (forall @t582 (_ @t557 @t579)))
% 0.47/0.99  (assume @p330 (forall (@list @t584 @t583 @t21) (=> (_ (_ tptp.ord_less_eq_set_b @t584) @t583) (_ (_ tptp.ord_less_eq_set_b (_ @t22 @t584)) (_ @t22 @t583)))))
% 0.47/0.99  (assume @p331 (forall @t262 (=> @t261 (= (_ @t547 @t257) @t548))))
% 0.47/0.99  (assume @p332 (forall @t269 (=> @t268 (= (_ @t549 @t263) @t550))))
% 0.47/0.99  (assume @p333 (forall @t278 (=> @t277 (= (_ @t551 @t272) @t552))))
% 0.47/0.99  (assume @p334 (forall (@list @t115 @t21) (_ (_ tptp.ord_less_eq_set_b @t115) @t279)))
% 0.47/0.99  (assume @p335 (forall (@list @t79 @t115 @t98) (=> @t548 (_ @t547 @t116))))
% 0.47/0.99  (assume @p336 (forall (@list @t41 @t21) (= (_ (_ tptp.ord_less_eq_set_b @t41) @t23) (or (= @t41 tptp.bot_bot_set_b) (= @t41 @t23)))))
% 0.47/0.99  (assume @p337 (forall (@list @t585 @t14) (= (_ (_ tptp.ord_le1036320359od_b_b @t585) @t16) (or (= @t585 tptp.bot_bo1343651123od_b_b) (= @t585 @t16)))))
% 0.47/0.99  (assume @p338 (forall (@list @t586) (or (= @t586 true) (= @t586 false))))
% 0.47/0.99  (assume @p339 (forall @t587 (= (_ (_ (_ tptp.if_b false) @t5) @t243) @t243)))
% 0.47/0.99  (assume @p340 (forall @t587 (= (_ (_ (_ tptp.if_b true) @t5) @t243) @t5)))
% 0.47/0.99  (assume @p341 @t592)
% 0.47/0.99  (assume @p342 true)
% 0.47/0.99  (step @p343 (= tptp.p @t594) :rule refl :args (@t594))
% 0.47/0.99  (step @p344 (= tptp.f @t595) :rule refl :args (@t595))
% 0.47/0.99  (step @p345 (= tptp.insert1952693431od_b_b @t596) :rule refl :args (@t596))
% 0.47/0.99  (step @p346 (= tptp.insert2037698781od_b_b @t598) :rule refl :args (@t598))
% 0.47/0.99  (step @p347 (= tptp.insert_b @t599) :rule refl :args (@t599))
% 0.47/0.99  (step @p348 (= tptp.bot_bo1167600078_b_b_o @t600) :rule refl :args (@t600))
% 0.47/0.99  (step @p349 (= tptp.bot_bot_b_o @t602) :rule refl :args (@t602))
% 0.47/0.99  (step @p350 (= tptp.bot_bo1302443370_b_b_o @t603) :rule refl :args (@t603))
% 0.47/0.99  (step @p351 (= tptp.bot_bo1734638456_b_b_o @t604) :rule refl :args (@t604))
% 0.47/0.99  (step @p352 (= tptp.bot_bot_b_b_o @t605) :rule refl :args (@t605))
% 0.47/0.99  (step @p353 (= tptp.is_singleton_b @t606) :rule refl :args (@t606))
% 0.47/0.99  (step @p354 (= tptp.is_sin1713057243od_b_b @t607) :rule refl :args (@t607))
% 0.47/0.99  (step @p355 (= tptp.total_on_b @t609) :rule refl :args (@t609))
% 0.47/0.99  (step @p356 (= tptp.equiv_proj_b_b @t610) :rule refl :args (@t610))
% 0.47/0.99  (step @p357 (= tptp.ord_less_eq_set_b @t613) :rule refl :args (@t613))
% 0.47/0.99  (step @p358 (= tptp.ord_le1036320359od_b_b @t616) :rule refl :args (@t616))
% 0.47/0.99  (step @p359 (= tptp.ord_le123089219od_b_b @t619) :rule refl :args (@t619))
% 0.47/0.99  (step @p360 :rule refl :args (@t622))
% 0.47/0.99  (step @p361 :rule refl :args (@t621))
% 0.47/0.99  (step @p362 :rule cong :premises (@p361) :args (@t622))
% 0.47/0.99  (step @p363 :rule trans :premises (@p362 @p360))
% 0.47/0.99  (step @p364 :rule refl :args (tptp.collect_b))
% 0.47/0.99  (step @p365 :rule ho_cong :premises (@p364 @p361))
% 0.47/0.99  (step @p366 :rule cong :premises (@p365 @p363) :args ((= @t623 @t622)))
% 0.47/0.99  (step @p367 :rule symm :premises (@p366))
% 0.47/0.99  (step @p368 :rule refl :args (@t624))
% 0.47/0.99  (step @p369 :rule eq_resolve :premises (@p368 @p367))
% 0.47/0.99  (step @p370 :rule refl :args (@t24))
% 0.47/0.99  (step @p371 :rule cong :premises (@p370 @p369) :args (@t625))
% 0.47/0.99  (step @p372 :rule refl :args (@t25))
% 0.47/0.99  (step @p373 :rule nary_cong :premises (@p372 @p371) :args (@t626))
% 0.47/0.99  (step @p374 :rule cong :premises (@p373) :args (@t627))
% 0.47/0.99  (step @p375 :rule cong :premises (@p374) :args (@t628))
% 0.47/0.99  (step @p376 :rule refl :args (@t166))
% 0.47/0.99  (step @p377 :rule cong :premises (@p376 @p375) :args (@t629))
% 0.47/0.99  (step @p378 :rule refl :args (@t630))
% 0.47/0.99  (step @p379 :rule nary_cong :premises (@p378 @p371) :args (@t631))
% 0.47/0.99  (step @p380 :rule cong :premises (@p379) :args (@t632))
% 0.47/0.99  (step @p381 :rule cong :premises (@p380) :args (@t633))
% 0.47/0.99  (step @p382 :rule cong :premises (@p376 @p381) :args (@t634))
% 0.47/0.99  (step @p383 :rule cong :premises (@p382 @p377) :args (@t635))
% 0.47/0.99  (step @p384 :rule refl :args (@t638))
% 0.47/0.99  (step @p385 :rule refl :args (@t640))
% 0.47/0.99  (step @p386 :rule nary_cong :premises (@p385 @p384 @p383) :args (@t641))
% 0.47/0.99  (step @p387 :rule cong :premises (@p386) :args ((forall @t508 @t641)))
% 0.47/0.99  (step @p388 :rule eq-symm :args (@t629 @t634))
% 0.47/0.99  (step @p389 :rule refl :args (@t638))
% 0.47/0.99  (step @p390 :rule refl :args (@t640))
% 0.47/0.99  (step @p391 :rule nary_cong :premises (@p390 @p389 @p388) :args (@t642))
% 0.47/0.99  (step @p392 :rule cong :premises (@p391) :args ((forall @t508 @t642)))
% 0.47/0.99  (step @p393 :rule trans :premises (@p392 @p387))
% 0.47/0.99  (step @p394 :rule symm :premises (@p361))
% 0.47/0.99  (step @p395 :rule alpha_equiv :args (@t294 (@list @t24) (@list @t620)))
% 0.47/0.99  (step @p396 :rule trans :premises (@p395 @p394))
% 0.47/0.99  (step @p397 :rule refl :args (tptp.collect_b))
% 0.47/0.99  (step @p398 :rule ho_cong :premises (@p397 @p396))
% 0.47/0.99  (step @p399 :rule refl :args (tptp.bot_bot_set_b))
% 0.47/0.99  (step @p400 :rule cong :premises (@p399 @p398) :args (@t295))
% 0.47/0.99  (step @p401 :rule eq_resolve :premises (@p131 @p400))
% 0.47/0.99  (step @p402 :rule refl :args (@t24))
% 0.47/0.99  (step @p403 :rule cong :premises (@p402 @p401) :args (@t643))
% 0.47/0.99  (step @p404 :rule refl :args (@t630))
% 0.47/0.99  (step @p405 :rule nary_cong :premises (@p404 @p403) :args (@t644))
% 0.47/0.99  (step @p406 :rule cong :premises (@p405) :args (@t645))
% 0.47/0.99  (step @p407 :rule cong :premises (@p406) :args (@t646))
% 0.47/0.99  (step @p408 :rule refl :args (@t166))
% 0.47/0.99  (step @p409 :rule cong :premises (@p408 @p407) :args (@t647))
% 0.47/0.99  (step @p410 :rule refl :args (@t25))
% 0.47/0.99  (step @p411 :rule nary_cong :premises (@p410 @p403) :args (@t648))
% 0.47/0.99  (step @p412 :rule cong :premises (@p411) :args (@t649))
% 0.47/0.99  (step @p413 :rule cong :premises (@p412) :args (@t650))
% 0.47/0.99  (step @p414 :rule cong :premises (@p408 @p413) :args (@t651))
% 0.47/0.99  (step @p415 :rule cong :premises (@p414 @p409) :args (@t652))
% 0.47/0.99  (step @p416 :rule nary_cong :premises (@p390 @p389 @p415) :args (@t653))
% 0.47/0.99  (step @p417 :rule cong :premises (@p416) :args ((forall @t508 @t653)))
% 0.47/0.99  (step @p418 :rule trans :premises (@p417 @p393))
% 0.47/0.99  (step @p419 :rule refl :args ((tptp.image_b_b @t166 @t656)))
% 0.47/0.99  (step @p420 :rule refl :args ((tptp.collect_b @t655)))
% 0.47/0.99  (step @p421 :rule refl :args (@t643))
% 0.47/0.99  (step @p422 :rule nary_cong :premises (@p378 @p421) :args (@t644))
% 0.47/0.99  (step @p423 :rule cong :premises (@p422) :args (@t645))
% 0.47/0.99  (step @p424 :rule cong :premises (@p423) :args (@t646))
% 0.47/0.99  (step @p425 :rule trans :premises (@p424 @p420))
% 0.47/0.99  (step @p426 :rule cong :premises (@p376 @p425) :args (@t647))
% 0.47/0.99  (step @p427 :rule trans :premises (@p426 @p419))
% 0.47/0.99  (step @p428 :rule refl :args (@t167))
% 0.47/0.99  (step @p429 :rule ho_cong :premises (@p428 @p425))
% 0.47/0.99  (step @p430 :rule cong :premises (@p429 @p427) :args ((= (_ @t167 @t646) @t647)))
% 0.47/0.99  (step @p431 :rule symm :premises (@p430))
% 0.47/0.99  (step @p432 :rule refl :args (@t657))
% 0.47/0.99  (step @p433 :rule eq_resolve :premises (@p432 @p431))
% 0.47/0.99  (step @p434 :rule ho_cong :premises (@p364 @p423))
% 0.47/0.99  (step @p435 :rule cong :premises (@p434 @p425) :args ((= (_ tptp.collect_b @t645) @t646)))
% 0.47/0.99  (step @p436 :rule symm :premises (@p435))
% 0.47/0.99  (step @p437 :rule refl :args (@t656))
% 0.47/0.99  (step @p438 :rule eq_resolve :premises (@p437 @p436))
% 0.47/0.99  (step @p439 :rule refl :args (@t601))
% 0.47/0.99  (step @p440 :rule cong :premises (@p439 @p421) :args ((= @t601 @t643)))
% 0.47/0.99  (step @p441 :rule symm :premises (@p440))
% 0.47/0.99  (step @p442 :rule eq_resolve :premises (@p439 @p441))
% 0.47/0.99  (step @p443 :rule nary_cong :premises (@p378 @p442) :args (@t654))
% 0.47/0.99  (step @p444 :rule cong :premises (@p443) :args (@t655))
% 0.47/0.99  (step @p445 :rule ho_cong :premises (@p364 @p444))
% 0.47/0.99  (step @p446 :rule trans :premises (@p445 @p438))
% 0.47/0.99  (step @p447 :rule ho_cong :premises (@p428 @p446))
% 0.47/0.99  (step @p448 :rule trans :premises (@p447 @p433))
% 0.47/0.99  (step @p449 :rule refl :args ((tptp.image_b_b @t166 @t660)))
% 0.47/0.99  (step @p450 :rule refl :args ((tptp.collect_b @t659)))
% 0.47/0.99  (step @p451 :rule nary_cong :premises (@p372 @p421) :args (@t648))
% 0.47/0.99  (step @p452 :rule cong :premises (@p451) :args (@t649))
% 0.47/0.99  (step @p453 :rule cong :premises (@p452) :args (@t650))
% 0.47/0.99  (step @p454 :rule trans :premises (@p453 @p450))
% 0.47/0.99  (step @p455 :rule cong :premises (@p376 @p454) :args (@t651))
% 0.47/0.99  (step @p456 :rule trans :premises (@p455 @p449))
% 0.47/0.99  (step @p457 :rule ho_cong :premises (@p428 @p454))
% 0.47/0.99  (step @p458 :rule cong :premises (@p457 @p456) :args ((= (_ @t167 @t650) @t651)))
% 0.47/0.99  (step @p459 :rule symm :premises (@p458))
% 0.47/0.99  (step @p460 :rule refl :args (@t661))
% 0.47/0.99  (step @p461 :rule eq_resolve :premises (@p460 @p459))
% 0.47/0.99  (step @p462 :rule ho_cong :premises (@p364 @p452))
% 0.47/0.99  (step @p463 :rule cong :premises (@p462 @p454) :args ((= (_ tptp.collect_b @t649) @t650)))
% 0.47/0.99  (step @p464 :rule symm :premises (@p463))
% 0.47/0.99  (step @p465 :rule refl :args (@t660))
% 0.47/0.99  (step @p466 :rule eq_resolve :premises (@p465 @p464))
% 0.47/0.99  (step @p467 :rule nary_cong :premises (@p372 @p442) :args (@t658))
% 0.47/0.99  (step @p468 :rule cong :premises (@p467) :args (@t659))
% 0.47/0.99  (step @p469 :rule ho_cong :premises (@p364 @p468))
% 0.47/0.99  (step @p470 :rule trans :premises (@p469 @p466))
% 0.47/0.99  (step @p471 :rule ho_cong :premises (@p428 @p470))
% 0.47/0.99  (step @p472 :rule trans :premises (@p471 @p461))
% 0.47/0.99  (step @p473 :rule cong :premises (@p472 @p448) :args (@t662))
% 0.47/0.99  (step @p474 :rule refl :args ((tptp.member1285940496od_b_b @t171 @t166)))
% 0.47/0.99  (step @p475 :rule refl :args (@t636))
% 0.47/0.99  (step @p476 :rule cong :premises (@p475 @p376) :args (@t637))
% 0.47/0.99  (step @p477 :rule trans :premises (@p476 @p474))
% 0.47/0.99  (step @p478 :rule refl :args (tptp.member1285940496od_b_b))
% 0.47/0.99  (step @p479 :rule ho_cong :premises (@p478 @p475))
% 0.47/0.99  (step @p480 :rule ho_cong :premises (@p479 @p376))
% 0.47/0.99  (step @p481 :rule cong :premises (@p480 @p477) :args ((= (_ (_ tptp.member1285940496od_b_b @t636) @t166) @t637)))
% 0.47/0.99  (step @p482 :rule symm :premises (@p481))
% 0.47/0.99  (step @p483 :rule refl :args (@t173))
% 0.47/0.99  (step @p484 :rule eq_resolve :premises (@p483 @p482))
% 0.47/0.99  (step @p485 :rule refl :args (@t171))
% 0.47/0.99  (step @p486 :rule cong :premises (@p485 @p475) :args ((= @t171 @t636)))
% 0.47/0.99  (step @p487 :rule symm :premises (@p486))
% 0.47/0.99  (step @p488 :rule eq_resolve :premises (@p485 @p487))
% 0.47/0.99  (step @p489 :rule ho_cong :premises (@p478 @p488))
% 0.47/0.99  (step @p490 :rule ho_cong :premises (@p489 @p376))
% 0.47/0.99  (step @p491 :rule trans :premises (@p490 @p484))
% 0.47/0.99  (step @p492 :rule cong :premises (@p491) :args (@t663))
% 0.47/0.99  (step @p493 :rule refl :args (@t639))
% 0.47/0.99  (step @p494 :rule refl :args (@t500))
% 0.47/0.99  (step @p495 :rule cong :premises (@p494 @p493) :args ((= @t500 @t639)))
% 0.47/0.99  (step @p496 :rule symm :premises (@p495))
% 0.47/0.99  (step @p497 :rule eq_resolve :premises (@p494 @p496))
% 0.47/0.99  (step @p498 :rule cong :premises (@p497) :args (@t664))
% 0.47/0.99  (step @p499 :rule nary_cong :premises (@p498 @p492 @p473) :args (@t665))
% 0.47/0.99  (step @p500 :rule cong :premises (@p499) :args ((forall @t508 @t665)))
% 0.47/0.99  (step @p501 :rule aci_norm :args ((= (or @t664 (or @t663 @t662)) @t665)))
% 0.47/0.99  (step @p502 :rule bool-impl-elim :args (@t173 @t662))
% 0.47/0.99  (step @p503 :rule refl :args (@t664))
% 0.47/0.99  (step @p504 :rule nary_cong :premises (@p503 @p502) :args ((or @t664 @t666)))
% 0.47/0.99  (step @p505 :rule trans :premises (@p504 @p501))
% 0.47/0.99  (step @p506 :rule bool-impl-elim :args (@t500 @t666))
% 0.47/0.99  (step @p507 :rule trans :premises (@p506 @p505))
% 0.47/0.99  (step @p508 :rule cong :premises (@p507) :args ((forall @t508 (=> @t500 @t666))))
% 0.47/0.99  (step @p509 :rule trans :premises (@p508 @p500))
% 0.47/0.99  (step @p510 :rule beta-reduce :args ((= (_ @t668 tptp.bot_bot_set_b) @t656)))
% 0.47/0.99  (step @p511 :rule beta-reduce :args ((= @t669 @t668)))
% 0.47/0.99  (step @p512 :rule ho_cong :premises (@p511 @p399))
% 0.47/0.99  (step @p513 :rule trans :premises (@p512 @p510))
% 0.47/0.99  (step @p514 :rule refl :args (@t167))
% 0.47/0.99  (step @p515 :rule ho_cong :premises (@p514 @p513))
% 0.47/0.99  (step @p516 :rule beta-reduce :args ((= (_ @t670 tptp.bot_bot_set_b) @t660)))
% 0.47/0.99  (step @p517 :rule beta-reduce :args ((= @t671 @t670)))
% 0.47/0.99  (step @p518 :rule ho_cong :premises (@p517 @p399))
% 0.47/0.99  (step @p519 :rule trans :premises (@p518 @p516))
% 0.47/0.99  (step @p520 :rule ho_cong :premises (@p514 @p519))
% 0.47/0.99  (step @p521 :rule cong :premises (@p520 @p515) :args (@t672))
% 0.47/0.99  (step @p522 :rule refl :args (@t173))
% 0.47/0.99  (step @p523 :rule cong :premises (@p522 @p521) :args (@t673))
% 0.47/0.99  (step @p524 :rule refl :args (@t500))
% 0.47/0.99  (step @p525 :rule cong :premises (@p524 @p523) :args (@t674))
% 0.47/0.99  (step @p526 :rule cong :premises (@p525) :args ((forall @t508 @t674)))
% 0.47/0.99  (step @p527 :rule trans :premises (@p526 @p509))
% 0.47/0.99  (step @p528 :rule refl :args (@t98))
% 0.47/0.99  (step @p529 :rule ho_cong :premises (@p347 @p528))
% 0.47/0.99  (step @p530 :rule ho_cong :premises (@p529 @p399))
% 0.47/0.99  (step @p531 :rule ho_cong :premises (@p514 @p530))
% 0.47/0.99  (step @p532 :rule refl :args (@t21))
% 0.47/0.99  (step @p533 :rule ho_cong :premises (@p347 @p532))
% 0.47/0.99  (step @p534 :rule ho_cong :premises (@p533 @p399))
% 0.47/0.99  (step @p535 :rule ho_cong :premises (@p514 @p534))
% 0.47/0.99  (step @p536 :rule cong :premises (@p535 @p531) :args (@t505))
% 0.47/0.99  (step @p537 :rule cong :premises (@p522 @p536) :args (@t506))
% 0.47/0.99  (step @p538 :rule cong :premises (@p524 @p537) :args (@t507))
% 0.47/0.99  (step @p539 :rule cong :premises (@p538) :args (@t509))
% 0.47/0.99  (step @p540 :rule trans :premises (@p539 @p527))
% 0.47/0.99  (step @p541 :rule trans :premises (@p540 @p418))
% 0.47/0.99  (step @p542 :rule eq_resolve :premises (@p248 @p541))
% 0.47/0.99  (step @p543 :rule eq-refl :args (@t678))
% 0.47/0.99  (step @p544 :rule skolem_intro :args (@t679))
% 0.47/0.99  (step @p545 :rule refl :args (@t678))
% 0.47/0.99  (step @p546 :rule cong :premises (@p545 @p544) :args ((= @t678 @t679)))
% 0.47/0.99  (step @p547 :rule trans :premises (@p546 @p543))
% 0.47/0.99  (step @p548 :rule true_elim :premises (@p547))
% 0.47/0.99  (step @p549 :rule cong :premises (@p548) :args (@t680))
% 0.47/0.99  (step @p550 :rule refl :args (@t681))
% 0.47/0.99  (step @p551 :rule cong :premises (@p550 @p549) :args (@t682))
% 0.47/0.99  (step @p552 :rule eq-refl :args (@t685))
% 0.47/0.99  (step @p553 :rule skolem_intro :args (@t686))
% 0.47/0.99  (step @p554 :rule refl :args (@t685))
% 0.47/0.99  (step @p555 :rule cong :premises (@p554 @p553) :args ((= @t685 @t686)))
% 0.47/0.99  (step @p556 :rule trans :premises (@p555 @p552))
% 0.47/0.99  (step @p557 :rule true_elim :premises (@p556))
% 0.47/0.99  (step @p558 :rule cong :premises (@p557) :args (@t687))
% 0.47/0.99  (step @p559 :rule cong :premises (@p550 @p558) :args (@t688))
% 0.47/0.99  (step @p560 :rule cong :premises (@p559 @p551) :args (@t689))
% 0.47/0.99  (step @p561 :rule refl :args (@t692))
% 0.47/0.99  (step @p562 :rule refl :args (@t696))
% 0.47/0.99  (step @p563 :rule nary_cong :premises (@p562 @p561 @p560) :args (@t697))
% 0.47/0.99  (step @p564 :rule refl :args (@t698))
% 0.47/0.99  (step @p565 :rule cong :premises (@p564 @p563) :args ((=> @t698 @t697)))
% 0.47/0.99  (step @p566 :rule eq-symm :args (@t682 @t688))
% 0.47/0.99  (step @p567 :rule refl :args (@t675))
% 0.47/0.99  (step @p568 :rule eq-symm :args (@t24 tptp.x))
% 0.47/0.99  (step @p569 :rule nary_cong :premises (@p568 @p567) :args (@t700))
% 0.47/0.99  (step @p570 :rule cong :premises (@p569) :args (@t701))
% 0.47/0.99  (step @p571 :rule cong :premises (@p570) :args (@t702))
% 0.47/0.99  (step @p572 :rule cong :premises (@p550 @p571) :args (@t703))
% 0.47/0.99  (step @p573 :rule eq-symm :args (@t24 tptp.y))
% 0.47/0.99  (step @p574 :rule nary_cong :premises (@p573 @p567) :args (@t705))
% 0.47/0.99  (step @p575 :rule cong :premises (@p574) :args (@t706))
% 0.47/0.99  (step @p576 :rule cong :premises (@p575) :args (@t707))
% 0.47/0.99  (step @p577 :rule cong :premises (@p550 @p576) :args (@t708))
% 0.47/0.99  (step @p578 :rule cong :premises (@p577 @p572) :args (@t709))
% 0.47/0.99  (step @p579 :rule trans :premises (@p578 @p566))
% 0.47/0.99  (step @p580 :rule nary_cong :premises (@p562 @p561 @p579) :args (@t710))
% 0.47/0.99  (step @p581 :rule cong :premises (@p564 @p580) :args ((=> @t698 @t710)))
% 0.47/0.99  (assume-push @p989 @t698)
% 0.47/0.99  (step @p583 :rule instantiate :premises (@p542) :args ((@list @t694 @t681 tptp.x tptp.y)))
% 0.47/0.99  (step-pop @p990 :rule scope :premises (@p583))
% 0.47/0.99  (step @p584 :rule process_scope :premises (@p990) :args (@t710))
% 0.47/0.99  (step @p586 :rule eq_resolve :premises (@p584 @p581))
% 0.47/0.99  (step @p587 :rule eq_resolve :premises (@p586 @p565))
% 0.47/0.99  (step @p588 :rule implies_elim :premises (@p587))
% 0.47/0.99  (step @p589 :rule chain_m_resolution :premises (@p588 @p542) :args (@t714 @t715 (@list @t698)))
% 0.47/0.99  (step @p590 :rule refl :args ((tptp.equiv_equiv_b @t716 @t1)))
% 0.47/0.99  (step @p591 :rule refl :args (@t681))
% 0.47/0.99  (step @p592 :rule refl :args (@t694))
% 0.47/0.99  (step @p593 :rule cong :premises (@p592 @p591) :args (@t695))
% 0.47/0.99  (step @p594 :rule trans :premises (@p593 @p590))
% 0.47/0.99  (step @p595 :rule refl :args (tptp.equiv_equiv_b))
% 0.47/0.99  (step @p596 :rule ho_cong :premises (@p595 @p592))
% 0.47/0.99  (step @p597 :rule ho_cong :premises (@p596 @p591))
% 0.47/0.99  (step @p598 :rule cong :premises (@p597 @p594) :args ((= (_ (_ tptp.equiv_equiv_b @t694) @t681) @t695)))
% 0.47/0.99  (step @p599 :rule symm :premises (@p598))
% 0.47/0.99  (step @p600 :rule refl :args ((_ (_ tptp.equiv_equiv_b @t716) @t1)))
% 0.47/0.99  (step @p601 :rule eq_resolve :premises (@p600 @p599))
% 0.47/0.99  (step @p602 :rule refl :args (@t1))
% 0.47/0.99  (step @p603 :rule cong :premises (@p602 @p591) :args ((= @t1 @t681)))
% 0.47/0.99  (step @p604 :rule symm :premises (@p603))
% 0.47/0.99  (step @p605 :rule eq_resolve :premises (@p602 @p604))
% 0.47/0.99  (step @p606 :rule refl :args (@t716))
% 0.47/0.99  (step @p607 :rule cong :premises (@p606 @p592) :args ((= @t716 @t694)))
% 0.47/0.99  (step @p608 :rule symm :premises (@p607))
% 0.47/0.99  (step @p609 :rule eq_resolve :premises (@p606 @p608))
% 0.47/0.99  (step @p610 :rule refl :args (tptp.g))
% 0.47/0.99  (step @p611 :rule eq-refl :args (@t538))
% 0.47/0.99  (step @p612 :rule skolem_intro :args (@t693))
% 0.47/0.99  (step @p613 :rule refl :args (@t538))
% 0.47/0.99  (step @p614 :rule cong :premises (@p613 @p612) :args ((= @t538 @t693)))
% 0.47/0.99  (step @p615 :rule trans :premises (@p614 @p611))
% 0.47/0.99  (step @p616 :rule true_elim :premises (@p615))
% 0.47/0.99  (step @p617 :rule refl :args (tptp.labele1287464530_set_b))
% 0.47/0.99  (step @p618 :rule ho_cong :premises (@p617 @p616))
% 0.47/0.99  (step @p619 :rule ho_cong :premises (@p618 @p610))
% 0.47/0.99  (step @p620 :rule trans :premises (@p619 @p609))
% 0.47/0.99  (step @p621 :rule refl :args (tptp.equiv_equiv_b))
% 0.47/0.99  (step @p622 :rule ho_cong :premises (@p621 @p620))
% 0.47/0.99  (step @p623 :rule ho_cong :premises (@p622 @p605))
% 0.47/0.99  (step @p624 :rule trans :premises (@p623 @p601))
% 0.47/0.99  (step @p625 :rule refl :args (@t1))
% 0.47/0.99  (step @p626 :rule ho_cong :premises (@p283 @p610))
% 0.47/0.99  (step @p627 :rule ho_cong :premises (@p621 @p626))
% 0.47/0.99  (step @p628 :rule ho_cong :premises (@p627 @p625))
% 0.47/0.99  (step @p629 :rule trans :premises (@p628 @p624))
% 0.47/0.99  (step @p630 :rule eq_resolve :premises (@p216 @p629))
% 0.47/0.99  (step @p631 :rule refl :args ((tptp.member1285940496od_b_b @t12 @t1)))
% 0.47/0.99  (step @p632 :rule refl :args (@t690))
% 0.47/0.99  (step @p633 :rule cong :premises (@p632 @p591) :args (@t691))
% 0.47/0.99  (step @p634 :rule trans :premises (@p633 @p631))
% 0.47/0.99  (step @p635 :rule ho_cong :premises (@p478 @p632))
% 0.47/0.99  (step @p636 :rule ho_cong :premises (@p635 @p591))
% 0.47/0.99  (step @p637 :rule cong :premises (@p636 @p634) :args ((= (_ (_ tptp.member1285940496od_b_b @t690) @t681) @t691)))
% 0.47/0.99  (step @p638 :rule symm :premises (@p637))
% 0.47/0.99  (step @p639 :rule refl :args (@t13))
% 0.47/0.99  (step @p640 :rule eq_resolve :premises (@p639 @p638))
% 0.47/0.99  (step @p641 :rule refl :args (@t12))
% 0.47/0.99  (step @p642 :rule cong :premises (@p641 @p632) :args ((= @t12 @t690)))
% 0.47/0.99  (step @p643 :rule symm :premises (@p642))
% 0.47/0.99  (step @p644 :rule eq_resolve :premises (@p641 @p643))
% 0.47/0.99  (step @p645 :rule refl :args (tptp.member1285940496od_b_b))
% 0.47/0.99  (step @p646 :rule ho_cong :premises (@p645 @p644))
% 0.47/0.99  (step @p647 :rule ho_cong :premises (@p646 @p605))
% 0.47/0.99  (step @p648 :rule trans :premises (@p647 @p640))
% 0.47/0.99  (step @p649 :rule eq_resolve :premises (@p4 @p648))
% 0.47/0.99  (step @p650 :rule cnf_or_pos :args (@t714))
% 0.47/0.99  (step @p651 :rule reordering :premises (@p650) :args ((or @t692 @t696 @t713 (not @t714))))
% 0.47/0.99  (step @p652 :rule chain_m_resolution :premises (@p651 @p649 @p630 @p589) :args (@t713 (@list false false false) (@list @t691 @t695 @t714)))
% 0.47/0.99  (step @p653 :rule eq-symm :args (@t717 @t724))
% 0.47/0.99  (step @p654 :rule cong :premises (@p653) :args ((forall @t40 (= @t717 @t724))))
% 0.47/0.99  (step @p655 :rule refl :args (@t724))
% 0.47/0.99  (step @p656 :rule refl :args ((tptp.member_b @t38 @t728)))
% 0.47/0.99  (step @p657 :rule refl :args ((tptp.image_b_b @t1 @t727)))
% 0.47/0.99  (step @p658 :rule refl :args ((tptp.collect_b @t726)))
% 0.47/0.99  (step @p659 :rule refl :args ((tptp.member_b @t24 @t624)))
% 0.47/0.99  (step @p660 :rule cong :premises (@p370 @p363) :args (@t675))
% 0.47/0.99  (step @p661 :rule trans :premises (@p660 @p659))
% 0.47/0.99  (step @p662 :rule refl :args (@t683))
% 0.47/0.99  (step @p663 :rule nary_cong :premises (@p662 @p661) :args (@t684))
% 0.47/0.99  (step @p664 :rule cong :premises (@p663) :args (@t685))
% 0.47/0.99  (step @p665 :rule cong :premises (@p664) :args (@t687))
% 0.47/0.99  (step @p666 :rule trans :premises (@p665 @p658))
% 0.47/0.99  (step @p667 :rule cong :premises (@p591 @p666) :args (@t688))
% 0.47/0.99  (step @p668 :rule trans :premises (@p667 @p657))
% 0.47/0.99  (step @p669 :rule refl :args (@t38))
% 0.47/0.99  (step @p670 :rule cong :premises (@p669 @p668) :args (@t717))
% 0.47/0.99  (step @p671 :rule trans :premises (@p670 @p656))
% 0.47/0.99  (step @p672 :rule refl :args (@t588))
% 0.47/0.99  (step @p673 :rule ho_cong :premises (@p672 @p668))
% 0.47/0.99  (step @p674 :rule cong :premises (@p673 @p671) :args ((= (_ @t588 @t688) @t717)))
% 0.47/0.99  (step @p675 :rule symm :premises (@p674))
% 0.47/0.99  (step @p676 :rule refl :args ((_ @t588 @t728)))
% 0.47/0.99  (step @p677 :rule eq_resolve :premises (@p676 @p675))
% 0.47/0.99  (step @p678 :rule refl :args (tptp.image_b_b))
% 0.47/0.99  (step @p679 :rule ho_cong :premises (@p678 @p591))
% 0.47/0.99  (step @p680 :rule ho_cong :premises (@p679 @p666))
% 0.47/0.99  (step @p681 :rule cong :premises (@p680 @p668) :args ((= (_ @t729 @t687) @t688)))
% 0.47/0.99  (step @p682 :rule symm :premises (@p681))
% 0.47/0.99  (step @p683 :rule refl :args (@t728))
% 0.47/0.99  (step @p684 :rule eq_resolve :premises (@p683 @p682))
% 0.47/0.99  (step @p685 :rule ho_cong :premises (@p364 @p664))
% 0.47/0.99  (step @p686 :rule cong :premises (@p685 @p666) :args ((= (_ tptp.collect_b @t685) @t687)))
% 0.47/0.99  (step @p687 :rule symm :premises (@p686))
% 0.47/0.99  (step @p688 :rule refl :args (@t727))
% 0.47/0.99  (step @p689 :rule eq_resolve :premises (@p688 @p687))
% 0.47/0.99  (step @p690 :rule refl :args (@t81))
% 0.47/0.99  (step @p691 :rule ho_cong :premises (@p690 @p363))
% 0.47/0.99  (step @p692 :rule cong :premises (@p691 @p661) :args ((= (_ @t81 @t622) @t675)))
% 0.47/0.99  (step @p693 :rule symm :premises (@p692))
% 0.47/0.99  (step @p694 :rule refl :args (@t725))
% 0.47/0.99  (step @p695 :rule eq_resolve :premises (@p694 @p693))
% 0.47/0.99  (step @p696 :rule ho_cong :premises (@p690 @p369))
% 0.47/0.99  (step @p697 :rule trans :premises (@p696 @p695))
% 0.47/0.99  (step @p698 :rule nary_cong :premises (@p662 @p697) :args (@t719))
% 0.47/0.99  (step @p699 :rule cong :premises (@p698) :args (@t720))
% 0.47/0.99  (step @p700 :rule ho_cong :premises (@p364 @p699))
% 0.47/0.99  (step @p701 :rule trans :premises (@p700 @p689))
% 0.47/0.99  (step @p702 :rule eq_resolve :premises (@p602 @p604))
% 0.47/0.99  (step @p703 :rule ho_cong :premises (@p678 @p702))
% 0.47/0.99  (step @p704 :rule ho_cong :premises (@p703 @p701))
% 0.47/0.99  (step @p705 :rule trans :premises (@p704 @p684))
% 0.47/0.99  (step @p706 :rule ho_cong :premises (@p672 @p705))
% 0.47/0.99  (step @p707 :rule trans :premises (@p706 @p677))
% 0.47/0.99  (step @p708 :rule cong :premises (@p707 @p655) :args (@t730))
% 0.47/0.99  (step @p709 :rule cong :premises (@p708) :args ((forall @t40 @t730)))
% 0.47/0.99  (step @p710 :rule trans :premises (@p709 @p654))
% 0.47/0.99  (step @p711 :rule eq-symm :args (@t724 @t721))
% 0.47/0.99  (step @p712 :rule beta-reduce :args ((= @t731 @t721)))
% 0.47/0.99  (step @p713 :rule refl :args (@t724))
% 0.47/0.99  (step @p714 :rule cong :premises (@p713 @p712) :args (@t732))
% 0.47/0.99  (step @p715 :rule trans :premises (@p714 @p711))
% 0.47/0.99  (step @p716 :rule cong :premises (@p715) :args (@t733))
% 0.47/0.99  (step @p717 :rule trans :premises (@p716 @p710))
% 0.47/0.99  (step @p718 :rule quant-unused-vars :args ((= (forall @t40 true) true)))
% 0.47/0.99  (step @p719 :rule eq-refl :args (@t731))
% 0.47/0.99  (step @p720 :rule cong :premises (@p719) :args ((forall @t40 (= @t731 @t731))))
% 0.47/0.99  (step @p721 :rule trans :premises (@p720 @p718))
% 0.47/0.99  (step @p722 :rule refl :args (@t731))
% 0.47/0.99  (step @p723 :rule refl :args (@t38))
% 0.47/0.99  (step @p724 :rule skolem_intro :args (@t723))
% 0.47/0.99  (step @p725 :rule ho_cong :premises (@p724 @p723))
% 0.47/0.99  (step @p726 :rule cong :premises (@p725 @p722) :args (@t732))
% 0.47/0.99  (step @p727 :rule cong :premises (@p726) :args (@t733))
% 0.47/0.99  (step @p728 :rule trans :premises (@p727 @p721))
% 0.47/0.99  (step @p729 :rule true_elim :premises (@p728))
% 0.47/0.99  (step @p730 :rule eq_resolve :premises (@p729 @p717))
% 0.47/0.99  (step @p731 :rule refl :args (@t734))
% 0.47/0.99  (step @p732 :rule cong :premises (@p731 @p559) :args (@t735))
% 0.47/0.99  (step @p733 :rule refl :args (@t736))
% 0.47/0.99  (step @p734 :rule cong :premises (@p733 @p732) :args (@t737))
% 0.47/0.99  (step @p735 :rule refl :args (@t738))
% 0.47/0.99  (step @p736 :rule cong :premises (@p735 @p734) :args ((=> @t738 @t737)))
% 0.47/0.99  (assume-push @p991 @t738)
% 0.47/0.99  (step @p738 :rule instantiate :premises (@p730) :args (@t739))
% 0.47/0.99  (step-pop @p992 :rule scope :premises (@p738))
% 0.47/0.99  (step @p739 :rule process_scope :premises (@p992) :args (@t737))
% 0.47/0.99  (step @p741 :rule eq_resolve :premises (@p739 @p736))
% 0.47/0.99  (step @p742 :rule implies_elim :premises (@p741))
% 0.47/0.99  (step @p743 :rule chain_m_resolution :premises (@p742 @p730) :args (@t741 @t715 (@list @t738)))
% 0.47/0.99  (step @p744 :rule eq-symm :args (@t747 @t748))
% 0.47/0.99  (step @p745 :rule refl :args (@t748))
% 0.47/0.99  (step @p746 :rule refl :args (@t749))
% 0.47/0.99  (step @p747 :rule cong :premises (@p746 @p745) :args ((= @t749 @t748)))
% 0.47/0.99  (step @p748 :rule symm :premises (@p747))
% 0.47/0.99  (step @p749 :rule eq_resolve :premises (@p746 @p748))
% 0.47/0.99  (step @p750 :rule eq-refl :args (@t722))
% 0.47/0.99  (step @p751 :rule refl :args (@t722))
% 0.47/0.99  (step @p752 :rule cong :premises (@p751 @p724) :args ((= @t722 @t723)))
% 0.47/0.99  (step @p753 :rule trans :premises (@p752 @p750))
% 0.47/0.99  (step @p754 :rule true_elim :premises (@p753))
% 0.47/0.99  (step @p755 :rule refl :args (tptp.hilbert_Eps_b))
% 0.47/0.99  (step @p756 :rule ho_cong :premises (@p755 @p754))
% 0.47/0.99  (step @p757 :rule trans :premises (@p756 @p749))
% 0.47/0.99  (step @p758 :rule refl :args (@t747))
% 0.47/0.99  (step @p759 :rule refl :args (@t750))
% 0.47/0.99  (step @p760 :rule cong :premises (@p759 @p758) :args ((= @t750 @t747)))
% 0.47/0.99  (step @p761 :rule symm :premises (@p760))
% 0.47/0.99  (step @p762 :rule eq_resolve :premises (@p759 @p761))
% 0.47/0.99  (step @p763 :rule eq-refl :args (@t745))
% 0.47/0.99  (step @p764 :rule skolem_intro :args (@t746))
% 0.47/0.99  (step @p765 :rule refl :args (@t745))
% 0.47/0.99  (step @p766 :rule cong :premises (@p765 @p764) :args ((= @t745 @t746)))
% 0.47/0.99  (step @p767 :rule trans :premises (@p766 @p763))
% 0.47/0.99  (step @p768 :rule true_elim :premises (@p767))
% 0.47/0.99  (step @p769 :rule ho_cong :premises (@p755 @p768))
% 0.47/0.99  (step @p770 :rule trans :premises (@p769 @p762))
% 0.47/0.99  (step @p771 :rule cong :premises (@p770 @p757) :args (@t753))
% 0.47/0.99  (step @p772 :rule trans :premises (@p771 @p744))
% 0.47/0.99  (step @p773 :rule cong :premises (@p772) :args ((not @t753)))
% 0.47/0.99  (step @p774 :rule eq-symm :args (@t751 @t752))
% 0.47/0.99  (step @p775 :rule cong :premises (@p774) :args ((not (= @t751 @t752))))
% 0.47/0.99  (step @p776 :rule refl :args (@t81))
% 0.47/0.99  (step @p777 :rule ho_cong :premises (@p776 @p401))
% 0.47/0.99  (step @p778 :rule refl :args (@t676))
% 0.47/0.99  (step @p779 :rule nary_cong :premises (@p778 @p777) :args (@t754))
% 0.47/0.99  (step @p780 :rule cong :premises (@p779) :args (@t755))
% 0.47/0.99  (step @p781 :rule ho_cong :premises (@p397 @p780))
% 0.47/0.99  (step @p782 :rule refl :args (@t2))
% 0.47/0.99  (step @p783 :rule ho_cong :premises (@p782 @p781))
% 0.47/0.99  (step @p784 :rule refl :args (@t588))
% 0.47/0.99  (step @p785 :rule ho_cong :premises (@p784 @p783))
% 0.47/0.99  (step @p786 :rule cong :premises (@p785) :args (@t757))
% 0.47/0.99  (step @p787 :rule ho_cong :premises (@p755 @p786))
% 0.47/0.99  (step @p788 :rule refl :args (@t683))
% 0.47/0.99  (step @p789 :rule nary_cong :premises (@p788 @p777) :args (@t758))
% 0.47/0.99  (step @p790 :rule cong :premises (@p789) :args (@t759))
% 0.47/0.99  (step @p791 :rule ho_cong :premises (@p397 @p790))
% 0.47/0.99  (step @p792 :rule ho_cong :premises (@p782 @p791))
% 0.47/0.99  (step @p793 :rule ho_cong :premises (@p784 @p792))
% 0.47/0.99  (step @p794 :rule cong :premises (@p793) :args (@t761))
% 0.47/0.99  (step @p795 :rule ho_cong :premises (@p755 @p794))
% 0.47/0.99  (step @p796 :rule cong :premises (@p795 @p787) :args (@t762))
% 0.47/0.99  (step @p797 :rule cong :premises (@p796) :args ((not @t762)))
% 0.47/0.99  (step @p798 :rule trans :premises (@p797 @p775))
% 0.47/0.99  (step @p799 :rule beta-reduce :args ((= (_ (lambda @t667 (_ tptp.collect_b (lambda @t26 (or @t676 @t564)))) tptp.bot_bot_set_b) @t756)))
% 0.47/0.99  (step @p800 :rule refl :args (@t564))
% 0.47/0.99  (step @p801 :rule nary_cong :premises (@p573 @p800) :args (@t763))
% 0.47/0.99  (step @p802 :rule cong :premises (@p801) :args (@t764))
% 0.47/0.99  (step @p803 :rule ho_cong :premises (@p397 @p802))
% 0.47/0.99  (step @p804 :rule cong :premises (@p803) :args (@t765))
% 0.47/0.99  (step @p805 :rule beta-reduce :args ((= @t766 @t765)))
% 0.47/0.99  (step @p806 :rule trans :premises (@p805 @p804))
% 0.47/0.99  (step @p807 :rule ho_cong :premises (@p806 @p399))
% 0.47/0.99  (step @p808 :rule trans :premises (@p807 @p799))
% 0.47/0.99  (step @p809 :rule ho_cong :premises (@p782 @p808))
% 0.47/0.99  (step @p810 :rule ho_cong :premises (@p784 @p809))
% 0.47/0.99  (step @p811 :rule cong :premises (@p810) :args (@t767))
% 0.47/0.99  (step @p812 :rule ho_cong :premises (@p755 @p811))
% 0.47/0.99  (step @p813 :rule beta-reduce :args ((= (_ (lambda @t667 (_ tptp.collect_b (lambda @t26 (or @t683 @t564)))) tptp.bot_bot_set_b) @t760)))
% 0.47/0.99  (step @p814 :rule nary_cong :premises (@p568 @p800) :args (@t768))
% 0.47/0.99  (step @p815 :rule cong :premises (@p814) :args (@t769))
% 0.47/0.99  (step @p816 :rule ho_cong :premises (@p397 @p815))
% 0.47/0.99  (step @p817 :rule cong :premises (@p816) :args (@t770))
% 0.47/0.99  (step @p818 :rule beta-reduce :args ((= @t771 @t770)))
% 0.47/0.99  (step @p819 :rule trans :premises (@p818 @p817))
% 0.47/0.99  (step @p820 :rule ho_cong :premises (@p819 @p399))
% 0.47/0.99  (step @p821 :rule trans :premises (@p820 @p813))
% 0.47/0.99  (step @p822 :rule ho_cong :premises (@p782 @p821))
% 0.47/0.99  (step @p823 :rule ho_cong :premises (@p784 @p822))
% 0.47/0.99  (step @p824 :rule cong :premises (@p823) :args (@t772))
% 0.47/0.99  (step @p825 :rule ho_cong :premises (@p755 @p824))
% 0.47/0.99  (step @p826 :rule cong :premises (@p825 @p812) :args (@t773))
% 0.47/0.99  (step @p827 :rule cong :premises (@p826) :args ((not @t773)))
% 0.47/0.99  (step @p828 :rule refl :args (tptp.y))
% 0.47/0.99  (step @p829 :rule ho_cong :premises (@p347 @p828))
% 0.47/0.99  (step @p830 :rule ho_cong :premises (@p829 @p399))
% 0.47/0.99  (step @p831 :rule ho_cong :premises (@p782 @p830))
% 0.47/0.99  (step @p832 :rule ho_cong :premises (@p784 @p831))
% 0.47/0.99  (step @p833 :rule cong :premises (@p832) :args (@t589))
% 0.47/0.99  (step @p834 :rule ho_cong :premises (@p755 @p833))
% 0.47/0.99  (step @p835 :rule refl :args (tptp.x))
% 0.47/0.99  (step @p836 :rule ho_cong :premises (@p347 @p835))
% 0.47/0.99  (step @p837 :rule ho_cong :premises (@p836 @p399))
% 0.47/0.99  (step @p838 :rule ho_cong :premises (@p782 @p837))
% 0.47/0.99  (step @p839 :rule ho_cong :premises (@p784 @p838))
% 0.47/0.99  (step @p840 :rule cong :premises (@p839) :args (@t590))
% 0.47/0.99  (step @p841 :rule ho_cong :premises (@p755 @p840))
% 0.47/0.99  (step @p842 :rule cong :premises (@p841 @p834) :args (@t591))
% 0.47/0.99  (step @p843 :rule cong :premises (@p842) :args (@t592))
% 0.47/0.99  (step @p844 :rule trans :premises (@p843 @p827))
% 0.47/0.99  (step @p845 :rule trans :premises (@p844 @p798 @p773))
% 0.47/0.99  (step @p846 :rule eq_resolve :premises (@p341 @p845))
% 0.47/0.99  (assume-push @p993 @t774)
% 0.47/0.99  (assume-push @p994 @t774)
% 0.47/0.99  (step @p849 :rule cong :premises (@p993) :args (@t748))
% 0.47/0.99  (step-pop @p995 :rule scope :premises (@p849))
% 0.47/0.99  (step @p850 :rule process_scope :premises (@p995) :args (@t775))
% 0.47/0.99  (step @p852 :rule modus_ponens :premises (@p993 @p850))
% 0.47/0.99  (step-pop @p996 :rule scope :premises (@p852))
% 0.47/0.99  (step @p853 :rule process_scope :premises (@p996) :args (@t775))
% 0.47/0.99  (step @p855 :rule implies_elim :premises (@p853))
% 0.47/0.99  (step @p856 :rule reordering :premises (@p855) :args ((or @t775 @t776)))
% 0.47/0.99  (step @p857 :rule chain_m_resolution :premises (@p856 @p846) :args (@t776 @t777 (@list @t775)))
% 0.47/0.99  ; WARNING: add trust step for TRUST
% 0.47/0.99  ; trust TRUST THEORY_LEMMA
% 0.47/0.99  (step @p858 :rule trust :premises () :args ((or @t774 @t780)))
% 0.47/0.99  (step @p859 :rule chain_m_resolution :premises (@p858 @p857) :args (@t780 @t777 (@list @t774)))
% 0.47/0.99  (step @p860 :rule cnf_equiv_neg2 :args (@t779))
% 0.47/0.99  (step @p861 :rule cnf_equiv_pos1 :args (@t741))
% 0.47/0.99  (step @p862 :rule reordering :premises (@p861) :args ((or @t782 @t740 @t781)))
% 0.47/0.99  (step @p863 :rule eq-symm :args (@t783 @t784))
% 0.47/0.99  (step @p864 :rule cong :premises (@p863) :args ((forall @t40 (= @t783 @t784))))
% 0.47/0.99  (step @p865 :rule refl :args (@t784))
% 0.47/0.99  (step @p866 :rule refl :args ((tptp.member_b @t38 @t787)))
% 0.47/0.99  (step @p867 :rule refl :args ((tptp.image_b_b @t1 @t786)))
% 0.47/0.99  (step @p868 :rule refl :args ((tptp.collect_b @t785)))
% 0.47/0.99  (step @p869 :rule refl :args (@t676))
% 0.47/0.99  (step @p870 :rule nary_cong :premises (@p869 @p661) :args (@t677))
% 0.47/0.99  (step @p871 :rule cong :premises (@p870) :args (@t678))
% 0.47/0.99  (step @p872 :rule cong :premises (@p871) :args (@t680))
% 0.47/0.99  (step @p873 :rule trans :premises (@p872 @p868))
% 0.47/0.99  (step @p874 :rule cong :premises (@p591 @p873) :args (@t682))
% 0.47/0.99  (step @p875 :rule trans :premises (@p874 @p867))
% 0.47/0.99  (step @p876 :rule cong :premises (@p669 @p875) :args (@t783))
% 0.47/0.99  (step @p877 :rule trans :premises (@p876 @p866))
% 0.47/0.99  (step @p878 :rule ho_cong :premises (@p672 @p875))
% 0.47/0.99  (step @p879 :rule cong :premises (@p878 @p877) :args ((= (_ @t588 @t682) @t783)))
% 0.47/0.99  (step @p880 :rule symm :premises (@p879))
% 0.47/0.99  (step @p881 :rule refl :args ((_ @t588 @t787)))
% 0.47/0.99  (step @p882 :rule eq_resolve :premises (@p881 @p880))
% 0.47/0.99  (step @p883 :rule ho_cong :premises (@p679 @p873))
% 0.47/0.99  (step @p884 :rule cong :premises (@p883 @p875) :args ((= (_ @t729 @t680) @t682)))
% 0.47/0.99  (step @p885 :rule symm :premises (@p884))
% 0.47/0.99  (step @p886 :rule refl :args (@t787))
% 0.47/0.99  (step @p887 :rule eq_resolve :premises (@p886 @p885))
% 0.47/0.99  (step @p888 :rule ho_cong :premises (@p364 @p871))
% 0.47/0.99  (step @p889 :rule cong :premises (@p888 @p873) :args ((= (_ tptp.collect_b @t678) @t680)))
% 0.47/0.99  (step @p890 :rule symm :premises (@p889))
% 0.47/0.99  (step @p891 :rule refl :args (@t786))
% 0.47/0.99  (step @p892 :rule eq_resolve :premises (@p891 @p890))
% 0.47/0.99  (step @p893 :rule nary_cong :premises (@p869 @p697) :args (@t742))
% 0.47/0.99  (step @p894 :rule cong :premises (@p893) :args (@t743))
% 0.47/0.99  (step @p895 :rule ho_cong :premises (@p364 @p894))
% 0.47/0.99  (step @p896 :rule trans :premises (@p895 @p892))
% 0.47/0.99  (step @p897 :rule ho_cong :premises (@p703 @p896))
% 0.47/0.99  (step @p898 :rule trans :premises (@p897 @p887))
% 0.47/0.99  (step @p899 :rule ho_cong :premises (@p672 @p898))
% 0.47/0.99  (step @p900 :rule trans :premises (@p899 @p882))
% 0.47/0.99  (step @p901 :rule cong :premises (@p900 @p865) :args (@t788))
% 0.47/0.99  (step @p902 :rule cong :premises (@p901) :args ((forall @t40 @t788)))
% 0.47/0.99  (step @p903 :rule trans :premises (@p902 @p864))
% 0.47/0.99  (step @p904 :rule eq-symm :args (@t784 @t744))
% 0.47/0.99  (step @p905 :rule beta-reduce :args ((= @t789 @t744)))
% 0.47/0.99  (step @p906 :rule refl :args (@t784))
% 0.47/0.99  (step @p907 :rule cong :premises (@p906 @p905) :args (@t790))
% 0.47/0.99  (step @p908 :rule trans :premises (@p907 @p904))
% 0.47/0.99  (step @p909 :rule cong :premises (@p908) :args (@t791))
% 0.47/0.99  (step @p910 :rule trans :premises (@p909 @p903))
% 0.47/0.99  (step @p911 :rule eq-refl :args (@t789))
% 0.47/0.99  (step @p912 :rule cong :premises (@p911) :args ((forall @t40 (= @t789 @t789))))
% 0.47/0.99  (step @p913 :rule trans :premises (@p912 @p718))
% 0.47/0.99  (step @p914 :rule refl :args (@t789))
% 0.47/0.99  (step @p915 :rule ho_cong :premises (@p764 @p723))
% 0.47/0.99  (step @p916 :rule cong :premises (@p915 @p914) :args (@t790))
% 0.47/0.99  (step @p917 :rule cong :premises (@p916) :args (@t791))
% 0.47/0.99  (step @p918 :rule trans :premises (@p917 @p913))
% 0.47/0.99  (step @p919 :rule true_elim :premises (@p918))
% 0.47/0.99  (step @p920 :rule eq_resolve :premises (@p919 @p910))
% 0.47/0.99  (step @p921 :rule cong :premises (@p731 @p551) :args (@t792))
% 0.47/0.99  (step @p922 :rule refl :args (@t778))
% 0.47/0.99  (step @p923 :rule cong :premises (@p922 @p921) :args (@t793))
% 0.47/0.99  (step @p924 :rule refl :args (@t794))
% 0.47/0.99  (step @p925 :rule cong :premises (@p924 @p923) :args ((=> @t794 @t793)))
% 0.47/0.99  (assume-push @p997 @t794)
% 0.47/0.99  (step @p927 :rule instantiate :premises (@p920) :args (@t739))
% 0.47/0.99  (step-pop @p998 :rule scope :premises (@p927))
% 0.47/0.99  (step @p928 :rule process_scope :premises (@p998) :args (@t793))
% 0.47/0.99  (step @p930 :rule eq_resolve :premises (@p928 @p925))
% 0.47/0.99  (step @p931 :rule implies_elim :premises (@p930))
% 0.47/0.99  (step @p932 :rule chain_m_resolution :premises (@p931 @p920) :args (@t796 @t715 (@list @t794)))
% 0.47/0.99  (step @p933 :rule cnf_equiv_pos2 :args (@t796))
% 0.47/0.99  (step @p934 :rule reordering :premises (@p933) :args ((or @t778 @t798 @t797)))
% 0.47/0.99  (assume-push @p999 @t713)
% 0.47/0.99  (assume-push @p1000 @t740)
% 0.47/0.99  (assume-push @p1001 @t740)
% 0.47/0.99  (assume-push @p1002 @t713)
% 0.47/0.99  (step @p939 :rule true_intro :premises (@p1000))
% 0.47/0.99  (step @p940 :rule symm :premises (@p652))
% 0.47/0.99  (step @p941 :rule cong :premises (@p731 @p940) :args (@t795))
% 0.47/0.99  (step @p942 :rule trans :premises (@p941 @p939))
% 0.47/0.99  (step @p943 :rule true_elim :premises (@p942))
% 0.47/0.99  (step-pop @p1003 :rule scope :premises (@p943))
% 0.47/0.99  (step-pop @p1004 :rule scope :premises (@p1003))
% 0.47/0.99  (step @p944 :rule process_scope :premises (@p1004) :args (@t795))
% 0.47/0.99  (step @p947 :rule and_intro :premises (@p1000 @p652))
% 0.47/0.99  (step @p948 :rule modus_ponens :premises (@p947 @p944))
% 0.47/0.99  (step-pop @p1005 :rule scope :premises (@p948))
% 0.47/0.99  (step-pop @p1006 :rule scope :premises (@p1005))
% 0.47/0.99  (step @p949 :rule process_scope :premises (@p1006) :args (@t795))
% 0.47/0.99  (step @p952 :rule implies_elim :premises (@p949))
% 0.47/0.99  (step @p953 :rule cnf_and_neg :args (@t799))
% 0.47/0.99  (step @p954 :rule resolution :premises (@p953 @p952) :args (true @t799))
% 0.47/0.99  (step @p955 :rule chain_m_resolution :premises (@p954 @p652 @p934 @p932 @p862 @p743 @p860 @p859) :args (@t782 (@list false true false false false true true) (@list @t713 @t795 @t796 @t740 @t741 @t778 @t779)))
% 0.47/0.99  (step @p956 :rule cnf_equiv_pos2 :args (@t741))
% 0.47/0.99  (step @p957 :rule reordering :premises (@p956) :args ((or @t736 @t800 @t781)))
% 0.47/0.99  (step @p958 :rule chain_m_resolution :premises (@p957 @p955 @p743) :args (@t800 (@list true false) (@list @t736 @t741)))
% 0.47/0.99  (step @p959 :rule cnf_equiv_neg1 :args (@t779))
% 0.47/0.99  (step @p960 :rule reordering :premises (@p959) :args ((or @t736 @t778 @t779)))
% 0.47/0.99  (step @p961 :rule chain_m_resolution :premises (@p960 @p955 @p859) :args (@t778 (@list true true) (@list @t736 @t779)))
% 0.47/0.99  (step @p962 :rule cnf_equiv_pos1 :args (@t796))
% 0.47/0.99  (step @p963 :rule reordering :premises (@p962) :args ((or (not @t778) @t795 @t797)))
% 0.47/0.99  (step @p964 :rule chain_m_resolution :premises (@p963 @p961 @p932) :args (@t795 (@list false false) (@list @t778 @t796)))
% 0.47/0.99  (step @p965 :rule refl :args (@t798))
% 0.47/0.99  (step @p966 :rule bool-double-not-elim :args (@t740))
% 0.47/0.99  (step @p967 :rule refl :args (@t801))
% 0.47/0.99  (step @p968 :rule nary_cong :premises (@p967 @p966 @p965) :args ((or @t801 (not @t800) @t798)))
% 0.47/0.99  (assume-push @p1007 @t713)
% 0.47/0.99  (assume-push @p1008 @t800)
% 0.47/0.99  (assume-push @p1009 @t800)
% 0.47/0.99  (assume-push @p1010 @t713)
% 0.47/0.99  (step @p973 :rule false_intro :premises (@p1008))
% 0.47/0.99  (step @p940 :rule symm :premises (@p652))
% 0.47/0.99  (step @p941 :rule cong :premises (@p731 @p940) :args (@t795))
% 0.47/0.99  (step @p974 :rule trans :premises (@p941 @p973))
% 0.47/0.99  (step @p975 :rule false_elim :premises (@p974))
% 0.47/0.99  (step-pop @p1011 :rule scope :premises (@p975))
% 0.47/0.99  (step-pop @p1012 :rule scope :premises (@p1011))
% 0.47/0.99  (step @p976 :rule process_scope :premises (@p1012) :args (@t798))
% 0.47/0.99  (step @p979 :rule and_intro :premises (@p1008 @p652))
% 0.47/0.99  (step @p980 :rule modus_ponens :premises (@p979 @p976))
% 0.47/0.99  (step-pop @p1013 :rule scope :premises (@p980))
% 0.47/0.99  (step-pop @p1014 :rule scope :premises (@p1013))
% 0.47/0.99  (step @p981 :rule process_scope :premises (@p1014) :args (@t798))
% 0.47/0.99  (step @p984 :rule implies_elim :premises (@p981))
% 0.47/0.99  (step @p985 :rule cnf_and_neg :args (@t802))
% 0.47/0.99  (step @p986 :rule resolution :premises (@p985 @p984) :args (true @t802))
% 0.47/0.99  (step @p987 :rule eq_resolve :premises (@p986 @p968))
% 0.47/0.99  (step @p988 false :rule chain_m_resolution :premises (@p987 @p964 @p958 @p652) :args (false (@list false true false) (@list @t795 @t740 @t713)))
% 0.47/0.99  )
% 0.47/0.99  % SZS output end Proof
% 0.47/0.99  % cvc5 exiting
%------------------------------------------------------------------------------