cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ITP105^1 : TPTP v9.2.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 08:25:04 AM UTC 2026

% Result   : Theorem 0.43s 0.89s
% Output   : Proof 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : ITP105^1 : TPTP v9.2.1. Released v7.5.0.
% 0.11/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n020.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Jun  2 04:14:40 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.38/0.59  %----Proving TH0
% 0.43/0.89  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.43/0.89  % SZS status Theorem
% 0.43/0.89  % SZS output start Proof
% 0.43/0.89  (
% 0.43/0.89  (declare-sort tptp.nat 0)
% 0.43/0.89  (declare-sort tptp.int 0)
% 0.43/0.89  (declare-sort tptp.list_list_a 0)
% 0.43/0.89  (declare-sort tptp.list_a 0)
% 0.43/0.89  (declare-sort tptp.real 0)
% 0.43/0.89  (declare-sort tptp.list_list_list_a 0)
% 0.43/0.89  (declare-sort tptp.a 0)
% 0.43/0.89  (declare-sort tptp.set_real 0)
% 0.43/0.89  (declare-sort tptp.set_nat 0)
% 0.43/0.89  (declare-sort tptp.option_list_list_a 0)
% 0.43/0.89  (declare-sort tptp.option_list_a 0)
% 0.43/0.89  (declare-sort tptp.option_a 0)
% 0.43/0.89  (declare-sort tptp.list_l2071841302list_a 0)
% 0.43/0.89  (declare-const tptp.size_size_list_a (-> tptp.list_a tptp.nat))
% 0.43/0.89  (declare-const tptp.divide_divide_nat (-> tptp.nat tptp.nat tptp.nat))
% 0.43/0.89  (declare-const tptp.listSl1495374126_aux_a (-> tptp.list_a tptp.nat tptp.nat tptp.list_list_a))
% 0.43/0.89  (declare-const tptp.semiri2019852685at_int (-> tptp.nat tptp.int))
% 0.43/0.89  (declare-const tptp.ord_less_int (-> tptp.int tptp.int Bool))
% 0.43/0.89  (declare-const tptp.ord_less_real (-> tptp.real tptp.real Bool))
% 0.43/0.89  (declare-const tptp.k tptp.nat)
% 0.43/0.89  (declare-const tptp.if_nat (-> Bool tptp.nat tptp.nat tptp.nat))
% 0.43/0.89  (declare-const tptp.divide_divide_int (-> tptp.int tptp.int tptp.int))
% 0.43/0.89  (declare-const tptp.divide_divide_real (-> tptp.real tptp.real tptp.real))
% 0.43/0.89  (declare-const tptp.inverse_inverse_real (-> tptp.real tptp.real))
% 0.43/0.89  (declare-const tptp.power_power_int (-> tptp.int tptp.nat tptp.int))
% 0.43/0.89  (declare-const tptp.power_power_nat (-> tptp.nat tptp.nat tptp.nat))
% 0.43/0.89  (declare-const tptp.count_429956358list_a (-> tptp.list_list_list_a tptp.list_list_a tptp.nat))
% 0.43/0.89  (declare-const tptp.count_list_list_a (-> tptp.list_list_a tptp.list_a tptp.nat))
% 0.43/0.89  (declare-const tptp.count_list_a (-> tptp.list_a tptp.a tptp.nat))
% 0.43/0.89  (declare-const tptp.semiri2110766477t_real (-> tptp.nat tptp.real))
% 0.43/0.89  (declare-const tptp.gen_length_list_a (-> tptp.nat tptp.list_list_a tptp.nat))
% 0.43/0.89  (declare-const tptp.gen_le840878749list_a (-> tptp.nat tptp.list_list_list_a tptp.nat))
% 0.43/0.89  (declare-const tptp.gen_length_a (-> tptp.nat tptp.list_a tptp.nat))
% 0.43/0.89  (declare-const tptp.bind_list_a_list_a (-> tptp.list_list_a (-> tptp.list_a tptp.list_list_a) tptp.list_list_a))
% 0.43/0.89  (declare-const tptp.bind_a_list_a (-> tptp.list_a (-> tptp.a tptp.list_list_a) tptp.list_list_a))
% 0.43/0.89  (declare-const tptp.maps_l57963201list_a (-> (-> tptp.list_list_a tptp.list_list_list_a) tptp.list_list_list_a tptp.list_list_list_a))
% 0.43/0.89  (declare-const tptp.bind_list_list_a_a (-> tptp.list_list_list_a (-> tptp.list_list_a tptp.list_a) tptp.list_a))
% 0.43/0.89  (declare-const tptp.power_power_real (-> tptp.real tptp.nat tptp.real))
% 0.43/0.89  (declare-const tptp.bind_l971853709list_a (-> tptp.list_list_a (-> tptp.list_a tptp.list_list_list_a) tptp.list_list_list_a))
% 0.43/0.89  (declare-const tptp.member_a (-> tptp.list_a tptp.a Bool))
% 0.43/0.89  (declare-const tptp.zero_zero_real tptp.real)
% 0.43/0.89  (declare-const tptp.bind_a_list_list_a (-> tptp.list_a (-> tptp.a tptp.list_list_list_a) tptp.list_list_list_a))
% 0.43/0.89  (declare-const tptp.bind_l94945665list_a (-> tptp.list_list_list_a (-> tptp.list_list_a tptp.list_list_a) tptp.list_list_a))
% 0.43/0.89  (declare-const tptp.size_s1427607542list_a (-> tptp.list_list_a tptp.nat))
% 0.43/0.89  (declare-const tptp.map_fi213215172list_a (-> (-> tptp.list_list_a tptp.option_list_a) tptp.list_list_list_a tptp.list_list_a))
% 0.43/0.89  (declare-const tptp.member_list_list_a (-> tptp.list_list_list_a tptp.list_list_a Bool))
% 0.43/0.89  (declare-const tptp.nil_list_list_list_a tptp.list_l2071841302list_a)
% 0.43/0.89  (declare-const tptp.nil_list_list_a tptp.list_list_list_a)
% 0.43/0.89  (declare-const tptp.listSl162220270list_a (-> tptp.list_list_a tptp.nat tptp.list_list_list_a))
% 0.43/0.89  (declare-const tptp.null_a (-> tptp.list_a Bool))
% 0.43/0.89  (declare-const tptp.bind_list_a_a (-> tptp.list_list_a (-> tptp.list_a tptp.list_a) tptp.list_a))
% 0.43/0.89  (declare-const tptp.nil_a tptp.list_a)
% 0.43/0.89  (declare-const tptp.nil_list_a tptp.list_list_a)
% 0.43/0.89  (declare-const tptp.member_list_a (-> tptp.list_list_a tptp.list_a Bool))
% 0.43/0.89  (declare-const tptp.zero_zero_int tptp.int)
% 0.43/0.89  (declare-const tptp.list_ex1_list_a (-> (-> tptp.list_a Bool) tptp.list_list_a Bool))
% 0.43/0.89  (declare-const tptp.bind_l311701255list_a (-> tptp.list_list_list_a (-> tptp.list_list_a tptp.list_list_list_a) tptp.list_list_list_a))
% 0.43/0.89  (declare-const tptp.concat_a (-> tptp.list_list_a tptp.list_a))
% 0.43/0.89  (declare-const tptp.collect_real (-> (-> tptp.real Bool) tptp.set_real))
% 0.43/0.89  (declare-const tptp.concat_list_list_a (-> tptp.list_l2071841302list_a tptp.list_list_list_a))
% 0.43/0.89  (declare-const tptp.maps_l2025957947list_a (-> (-> tptp.list_list_a tptp.list_list_a) tptp.list_list_list_a tptp.list_list_a))
% 0.43/0.89  (declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.set_nat))
% 0.43/0.89  (declare-const tptp.concat_list_a (-> tptp.list_list_list_a tptp.list_list_a))
% 0.43/0.89  (declare-const tptp.maps_list_list_a_a (-> (-> tptp.list_list_a tptp.list_a) tptp.list_list_list_a tptp.list_a))
% 0.43/0.89  (declare-const tptp.list_ex1_a (-> (-> tptp.a Bool) tptp.list_a Bool))
% 0.43/0.89  (declare-const tptp.listSl856612276list_a (-> tptp.list_list_a tptp.nat tptp.nat tptp.list_list_list_a))
% 0.43/0.89  (declare-const tptp.zero_zero_nat tptp.nat)
% 0.43/0.89  (declare-const tptp.semiri1382578993at_nat (-> tptp.nat tptp.nat))
% 0.43/0.89  (declare-const tptp.list_ex1_list_list_a (-> (-> tptp.list_list_a Bool) tptp.list_list_list_a Bool))
% 0.43/0.89  (declare-const tptp.null_list_list_a (-> tptp.list_list_list_a Bool))
% 0.43/0.89  (declare-const tptp.maps_a_list_list_a (-> (-> tptp.a tptp.list_list_list_a) tptp.list_a tptp.list_list_list_a))
% 0.43/0.89  (declare-const tptp.maps_l755382343list_a (-> (-> tptp.list_a tptp.list_list_list_a) tptp.list_list_a tptp.list_list_list_a))
% 0.43/0.89  (declare-const tptp.maps_a_a (-> (-> tptp.a tptp.list_a) tptp.list_a tptp.list_a))
% 0.43/0.89  (declare-const tptp.maps_a_list_a (-> (-> tptp.a tptp.list_list_a) tptp.list_a tptp.list_list_a))
% 0.43/0.89  (declare-const tptp.maps_list_a_a (-> (-> tptp.list_a tptp.list_a) tptp.list_list_a tptp.list_a))
% 0.43/0.89  (declare-const tptp.maps_list_a_list_a (-> (-> tptp.list_a tptp.list_list_a) tptp.list_list_a tptp.list_list_a))
% 0.43/0.89  (declare-const tptp.null_list_a (-> tptp.list_list_a Bool))
% 0.43/0.89  (declare-const tptp.map_filter_a_a (-> (-> tptp.a tptp.option_a) tptp.list_a tptp.list_a))
% 0.43/0.89  (declare-const tptp.map_filter_a_list_a (-> (-> tptp.a tptp.option_list_a) tptp.list_a tptp.list_list_a))
% 0.43/0.89  (declare-const tptp.map_fi2089402454list_a (-> (-> tptp.a tptp.option_list_list_a) tptp.list_a tptp.list_list_list_a))
% 0.43/0.89  (declare-const tptp.map_filter_list_a_a (-> (-> tptp.list_a tptp.option_a) tptp.list_list_a tptp.list_a))
% 0.43/0.89  (declare-const tptp.map_fi461586634list_a (-> (-> tptp.list_a tptp.option_list_a) tptp.list_list_a tptp.list_list_a))
% 0.43/0.89  (declare-const tptp.map_fi1090123216list_a (-> (-> tptp.list_a tptp.option_list_list_a) tptp.list_list_a tptp.list_list_list_a))
% 0.43/0.89  (declare-const tptp.map_fi1574988606st_a_a (-> (-> tptp.list_list_a tptp.option_a) tptp.list_list_list_a tptp.list_a))
% 0.43/0.89  (declare-const tptp.map_fi824137674list_a (-> (-> tptp.list_list_a tptp.option_list_list_a) tptp.list_list_list_a tptp.list_list_list_a))
% 0.43/0.89  (declare-const tptp.size_s575106428list_a (-> tptp.list_list_list_a tptp.nat))
% 0.43/0.89  (declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool))
% 0.43/0.89  (declare-const tptp.bind_a_a (-> tptp.list_a (-> tptp.a tptp.list_a) tptp.list_a))
% 0.43/0.89  (declare-const tptp.member_real (-> tptp.real tptp.set_real Bool))
% 0.43/0.89  (define tptp.listSl97544552lice_a () (let ((_let_1 (@var "K2" tptp.nat))) (let ((_let_2 (@var "Xs3" tptp.list_a))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.listSl1495374126_aux_a _let_2) _let_1) (_ (_ tptp.divide_divide_nat (_ tptp.size_size_list_a _let_2)) _let_1))))))
% 0.43/0.89  (define tptp.ord_less_nat () (let ((_let_1 (@var "B3" tptp.nat))) (let ((_let_2 (@var "A3" tptp.nat))) (lambda (@list _let_2 _let_1) (_ (_ tptp.ord_less_int (_ tptp.semiri2019852685at_int _let_2)) (_ tptp.semiri2019852685at_int _let_1))))))
% 0.43/0.89  (define tptp.ord_less_eq_nat () (let ((_let_1 (@var "X2" tptp.nat))) (let ((_let_2 (@var "N3" tptp.nat))) (let ((_let_3 (@var "A3" tptp.nat))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_nat _let_1) _let_3) (not (= _let_2 _let_1)))))))))
% 0.43/0.89  (define tptp.ord_less_eq_int () (let ((_let_1 (@var "X2" tptp.int))) (let ((_let_2 (@var "N3" tptp.int))) (let ((_let_3 (@var "A3" tptp.int))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_int _let_1) _let_3) (not (= _let_2 _let_1)))))))))
% 0.43/0.89  (define tptp.ord_less_eq_real () (let ((_let_1 (@var "X2" tptp.real))) (let ((_let_2 (@var "N3" tptp.real))) (let ((_let_3 (@var "A3" tptp.real))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (=> (_ (_ tptp.ord_less_real _let_1) _let_3) (not (= _let_2 _let_1)))))))))
% 0.43/0.89  (define @t1 () (@var "Xs" tptp.list_list_a))
% 0.43/0.89  (define @t2 () (_ tptp.listSl162220270list_a @t1))
% 0.43/0.89  (define @t3 () (@list @t1))
% 0.43/0.89  (define @t4 () (@var "Xs" tptp.list_a))
% 0.43/0.89  (define @t5 () (_ tptp.listSl97544552lice_a @t4))
% 0.43/0.89  (define @t6 () (@list @t4))
% 0.43/0.89  (define @t7 () (_ tptp.concat_list_list_a tptp.nil_list_list_list_a))
% 0.43/0.89  (define @t8 () (_ tptp.concat_list_a tptp.nil_list_list_a))
% 0.43/0.89  (define @t9 () (_ tptp.concat_a tptp.nil_list_a))
% 0.43/0.89  (define @t10 () (@var "P" (-> tptp.list_list_a Bool)))
% 0.43/0.89  (define @t11 () (@var "P" (-> tptp.a Bool)))
% 0.43/0.89  (define @t12 () (@var "P" (-> tptp.list_a Bool)))
% 0.43/0.89  (define @t13 () (@var "K" tptp.nat))
% 0.43/0.89  (define @t14 () (_ tptp.size_s1427607542list_a @t1))
% 0.43/0.89  (define @t15 () (@list @t1 @t13))
% 0.43/0.89  (define @t16 () (_ @t5 @t13))
% 0.43/0.89  (define @t17 () (_ tptp.size_size_list_a @t4))
% 0.43/0.89  (define @t18 () (@list @t4 @t13))
% 0.43/0.89  (define @t19 () (@var "F" (-> tptp.a tptp.list_list_list_a)))
% 0.43/0.89  (define @t20 () (@list @t19))
% 0.43/0.89  (define @t21 () (@var "F" (-> tptp.list_a tptp.list_list_list_a)))
% 0.43/0.89  (define @t22 () (@list @t21))
% 0.43/0.89  (define @t23 () (@var "F" (-> tptp.list_list_a tptp.list_a)))
% 0.43/0.89  (define @t24 () (@list @t23))
% 0.43/0.89  (define @t25 () (@var "F" (-> tptp.list_list_a tptp.list_list_a)))
% 0.43/0.89  (define @t26 () (@list @t25))
% 0.43/0.89  (define @t27 () (@var "F" (-> tptp.list_list_a tptp.list_list_list_a)))
% 0.43/0.89  (define @t28 () (@list @t27))
% 0.43/0.89  (define @t29 () (@var "F" (-> tptp.a tptp.list_a)))
% 0.43/0.89  (define @t30 () (@list @t29))
% 0.43/0.89  (define @t31 () (@var "F" (-> tptp.a tptp.list_list_a)))
% 0.43/0.89  (define @t32 () (@list @t31))
% 0.43/0.89  (define @t33 () (@var "F" (-> tptp.list_a tptp.list_a)))
% 0.43/0.89  (define @t34 () (@list @t33))
% 0.43/0.89  (define @t35 () (@var "F" (-> tptp.list_a tptp.list_list_a)))
% 0.43/0.89  (define @t36 () (@list @t35))
% 0.43/0.89  (define @t37 () (@var "Y" tptp.list_list_a))
% 0.43/0.89  (define @t38 () (@list @t37))
% 0.43/0.89  (define @t39 () (@var "Y" tptp.a))
% 0.43/0.89  (define @t40 () (@list @t39))
% 0.43/0.89  (define @t41 () (@var "Y" tptp.list_a))
% 0.43/0.89  (define @t42 () (@list @t41))
% 0.43/0.89  (define @t43 () (@var "N" tptp.nat))
% 0.43/0.89  (define @t44 () (@list @t43))
% 0.43/0.89  (define @t45 () (= @t4 tptp.nil_a))
% 0.43/0.89  (define @t46 () (= @t1 tptp.nil_list_a))
% 0.43/0.89  (define @t47 () (@var "Xs" tptp.list_list_list_a))
% 0.43/0.89  (define @t48 () (= @t47 tptp.nil_list_list_a))
% 0.43/0.89  (define @t49 () (@list @t47))
% 0.43/0.89  (define @t50 () (@var "F" (-> tptp.a tptp.option_a)))
% 0.43/0.89  (define @t51 () (@var "F" (-> tptp.a tptp.option_list_a)))
% 0.43/0.89  (define @t52 () (@var "F" (-> tptp.a tptp.option_list_list_a)))
% 0.43/0.89  (define @t53 () (@var "F" (-> tptp.list_a tptp.option_a)))
% 0.43/0.89  (define @t54 () (@var "F" (-> tptp.list_a tptp.option_list_a)))
% 0.43/0.89  (define @t55 () (@var "F" (-> tptp.list_a tptp.option_list_list_a)))
% 0.43/0.89  (define @t56 () (@var "F" (-> tptp.list_list_a tptp.option_a)))
% 0.43/0.89  (define @t57 () (@var "F" (-> tptp.list_list_a tptp.option_list_a)))
% 0.43/0.89  (define @t58 () (@var "F" (-> tptp.list_list_a tptp.option_list_list_a)))
% 0.43/0.89  (define @t59 () (_ tptp.size_s575106428list_a @t47))
% 0.43/0.89  (define @t60 () (not @t46))
% 0.43/0.89  (define @t61 () (_ tptp.ord_less_nat tptp.zero_zero_nat))
% 0.43/0.89  (define @t62 () (= (_ @t61 @t14) @t60))
% 0.43/0.89  (define @t63 () (forall @t3 @t62))
% 0.43/0.89  (define @t64 () (not @t48))
% 0.43/0.89  (define @t65 () (not @t45))
% 0.43/0.89  (define @t66 () (_ tptp.size_s1427607542list_a tptp.nil_list_a))
% 0.43/0.89  (define @t67 () (_ tptp.size_size_list_a tptp.nil_a))
% 0.43/0.89  (define @t68 () (= tptp.size_size_list_a (_ tptp.gen_length_a tptp.zero_zero_nat)))
% 0.43/0.89  (define @t69 () (@var "Xs2" tptp.list_a))
% 0.43/0.89  (define @t70 () (@var "Ys" tptp.list_a))
% 0.43/0.89  (define @t71 () (_ tptp.size_size_list_a @t69))
% 0.43/0.89  (define @t72 () (@list @t69))
% 0.43/0.89  (define @t73 () (@var "Ys2" tptp.list_a))
% 0.43/0.89  (define @t74 () (_ @t61 @t43))
% 0.43/0.89  (define @t75 () (= @t43 tptp.zero_zero_nat))
% 0.43/0.89  (define @t76 () (not @t75))
% 0.43/0.89  (define @t77 () (_ tptp.ord_less_nat @t43))
% 0.43/0.89  (define @t78 () (@var "A" tptp.nat))
% 0.43/0.89  (define @t79 () (_ @t61 @t78))
% 0.43/0.89  (define @t80 () (= @t78 tptp.zero_zero_nat))
% 0.43/0.89  (define @t81 () (not @t80))
% 0.43/0.89  (define @t82 () (@list @t78))
% 0.43/0.89  (define @t83 () (@var "M" tptp.nat))
% 0.43/0.89  (define @t84 () (_ (_ tptp.ord_less_nat @t83) @t43))
% 0.43/0.89  (define @t85 () (@list @t83 @t43))
% 0.43/0.89  (define @t86 () (@var "X" tptp.nat))
% 0.43/0.89  (define @t87 () (@list @t86))
% 0.43/0.89  (define @t88 () (@var "X" tptp.int))
% 0.43/0.89  (define @t89 () (@var "X" tptp.real))
% 0.43/0.89  (define @t90 () (@list @t89))
% 0.43/0.89  (define @t91 () (@var "Y" tptp.nat))
% 0.43/0.89  (define @t92 () (_ tptp.ord_less_nat @t86))
% 0.43/0.89  (define @t93 () (@list @t86 @t91))
% 0.43/0.89  (define @t94 () (@var "P" (-> tptp.nat Bool)))
% 0.43/0.89  (define @t95 () (_ @t94 @t43))
% 0.43/0.89  (define @t96 () (@var "M2" tptp.nat))
% 0.43/0.89  (define @t97 () (_ @t94 @t96))
% 0.43/0.89  (define @t98 () (@var "N2" tptp.nat))
% 0.43/0.89  (define @t99 () (_ (_ tptp.ord_less_nat @t96) @t98))
% 0.43/0.89  (define @t100 () (@list @t96))
% 0.43/0.89  (define @t101 () (_ @t94 @t98))
% 0.43/0.89  (define @t102 () (=> (not @t101) (exists @t100 (and @t99 (not @t97)))))
% 0.43/0.89  (define @t103 () (@list @t98))
% 0.43/0.89  (define @t104 () (@list @t94 @t43))
% 0.43/0.89  (define @t105 () (@var "T" tptp.nat))
% 0.43/0.89  (define @t106 () (@var "S" tptp.nat))
% 0.43/0.89  (define @t107 () (= @t83 @t43))
% 0.43/0.89  (define @t108 () (not @t107))
% 0.43/0.89  (define @t109 () (_ @t77 @t83))
% 0.43/0.89  (define @t110 () (@list @t43 @t83))
% 0.43/0.89  (define @t111 () (@var "X" tptp.list_a))
% 0.43/0.89  (define @t112 () (_ @t94 @t78))
% 0.43/0.89  (define @t113 () (@var "A" tptp.real))
% 0.43/0.89  (define @t114 () (@var "P" (-> tptp.real Bool)))
% 0.43/0.89  (define @t115 () (@var "A2" tptp.set_nat))
% 0.43/0.89  (define @t116 () (@var "X2" tptp.nat))
% 0.43/0.89  (define @t117 () (@list @t116))
% 0.43/0.89  (define @t118 () (@var "A2" tptp.set_real))
% 0.43/0.89  (define @t119 () (@var "X2" tptp.real))
% 0.43/0.89  (define @t120 () (@list @t119))
% 0.43/0.89  (define @t121 () (_ tptp.ord_less_nat @t78))
% 0.43/0.89  (define @t122 () (_ @t61 @t98))
% 0.43/0.89  (define @t123 () (_ @t94 tptp.zero_zero_nat))
% 0.43/0.89  (define @t124 () (@var "D2" tptp.real))
% 0.43/0.89  (define @t125 () (@var "E" tptp.real))
% 0.43/0.89  (define @t126 () (_ tptp.ord_less_real @t125))
% 0.43/0.89  (define @t127 () (@var "D1" tptp.real))
% 0.43/0.89  (define @t128 () (_ tptp.ord_less_real tptp.zero_zero_real))
% 0.43/0.89  (define @t129 () (_ tptp.ord_less_int tptp.zero_zero_int))
% 0.43/0.89  (define @t130 () (_ tptp.listSl1495374126_aux_a @t4))
% 0.43/0.89  (define @t131 () (_ @t130 @t13))
% 0.43/0.89  (define @t132 () (_ tptp.semiri1382578993at_nat @t43))
% 0.43/0.89  (define @t133 () (_ tptp.semiri2019852685at_int @t43))
% 0.43/0.89  (define @t134 () (_ tptp.semiri2110766477t_real @t43))
% 0.43/0.89  (define @t135 () (@var "X3" tptp.nat))
% 0.43/0.89  (define @t136 () (_ @t94 @t135))
% 0.43/0.89  (define @t137 () (@var "Y2" tptp.nat))
% 0.43/0.89  (define @t138 () (_ @t94 @t137))
% 0.43/0.89  (define @t139 () (@var "I" tptp.set_nat))
% 0.43/0.89  (define @t140 () (_ (_ tptp.member_nat @t135) @t139))
% 0.43/0.89  (define @t141 () (@list @t137))
% 0.43/0.89  (define @t142 () (@list @t135))
% 0.43/0.89  (define @t143 () (_ tptp.semiri2019852685at_int @t83))
% 0.43/0.89  (define @t144 () (_ tptp.semiri2110766477t_real @t83))
% 0.43/0.89  (define @t145 () (_ tptp.semiri2019852685at_int tptp.zero_zero_nat))
% 0.43/0.89  (define @t146 () (= tptp.zero_zero_nat @t43))
% 0.43/0.89  (define @t147 () (= @t83 tptp.zero_zero_nat))
% 0.43/0.89  (define @t148 () (_ tptp.semiri1382578993at_nat @t83))
% 0.43/0.89  (define @t149 () (@list @t83))
% 0.43/0.89  (define @t150 () (_ tptp.ord_less_nat @t148))
% 0.43/0.89  (define @t151 () (_ @t150 @t132))
% 0.43/0.89  (define @t152 () (_ tptp.ord_less_int @t143))
% 0.43/0.89  (define @t153 () (_ @t152 @t133))
% 0.43/0.89  (define @t154 () (_ tptp.ord_less_real @t144))
% 0.43/0.89  (define @t155 () (_ @t154 @t134))
% 0.43/0.89  (define @t156 () (@var "Xa" tptp.nat))
% 0.43/0.89  (define @t157 () (exists @t142 (and @t140 @t136 (forall (@list @t156) (=> (_ (_ tptp.member_nat @t156) @t139) (=> (_ (_ tptp.ord_less_nat @t156) @t135) (not (_ @t94 @t156))))))))
% 0.43/0.89  (define @t158 () (_ @t94 @t13))
% 0.43/0.89  (define @t159 () (@var "X4" tptp.nat))
% 0.43/0.89  (define @t160 () (@var "K" tptp.int))
% 0.43/0.89  (define @t161 () (= @t160 (_ tptp.semiri2019852685at_int @t98)))
% 0.43/0.89  (define @t162 () (_ @t129 @t160))
% 0.43/0.89  (define @t163 () (@list @t160))
% 0.43/0.89  (define @t164 () (_ tptp.semiri2110766477t_real @t98))
% 0.43/0.89  (define @t165 () (_ tptp.ord_less_real @t89))
% 0.43/0.89  (define @t166 () (or (_ @t61 @t86) @t75))
% 0.43/0.89  (define @t167 () (_ tptp.semiri1382578993at_nat @t86))
% 0.43/0.89  (define @t168 () (@list @t86 @t43))
% 0.43/0.89  (define @t169 () (_ tptp.semiri2019852685at_int @t86))
% 0.43/0.89  (define @t170 () (_ tptp.semiri2110766477t_real @t86))
% 0.43/0.89  (define @t171 () (_ tptp.ord_less_eq_nat @t148))
% 0.43/0.89  (define @t172 () (_ tptp.ord_less_eq_int @t143))
% 0.43/0.89  (define @t173 () (_ tptp.ord_less_eq_real @t144))
% 0.43/0.89  (define @t174 () (_ tptp.inverse_inverse_real @t164))
% 0.43/0.89  (define @t175 () (_ @t128 @t89))
% 0.43/0.89  (define @t176 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat))
% 0.43/0.89  (define @t177 () (_ @t176 @t78))
% 0.43/0.89  (define @t178 () (_ tptp.ord_less_eq_nat @t43))
% 0.43/0.89  (define @t179 () (_ (_ tptp.ord_less_eq_nat @t83) @t43))
% 0.43/0.89  (define @t180 () (_ (_ tptp.power_power_nat @t83) @t43))
% 0.43/0.89  (define @t181 () (@var "W" tptp.nat))
% 0.43/0.89  (define @t182 () (@var "B" tptp.nat))
% 0.43/0.89  (define @t183 () (_ tptp.power_power_nat @t182))
% 0.43/0.89  (define @t184 () (_ @t183 @t181))
% 0.43/0.89  (define @t185 () (= @t184 @t86))
% 0.43/0.89  (define @t186 () (_ (_ tptp.power_power_nat (_ tptp.semiri1382578993at_nat @t182)) @t181))
% 0.43/0.89  (define @t187 () (@list @t182 @t181 @t86))
% 0.43/0.89  (define @t188 () (_ tptp.semiri2019852685at_int @t182))
% 0.43/0.89  (define @t189 () (_ (_ tptp.power_power_int @t188) @t181))
% 0.43/0.89  (define @t190 () (_ (_ tptp.power_power_real (_ tptp.semiri2110766477t_real @t182)) @t181))
% 0.43/0.89  (define @t191 () (= @t86 @t184))
% 0.43/0.89  (define @t192 () (@list @t86 @t182 @t181))
% 0.43/0.89  (define @t193 () (_ (_ tptp.ord_less_eq_nat @t184) @t86))
% 0.43/0.89  (define @t194 () (_ (_ tptp.ord_less_eq_nat @t86) @t184))
% 0.43/0.89  (define @t195 () (@var "A" tptp.int))
% 0.43/0.89  (define @t196 () (= @t195 tptp.zero_zero_int))
% 0.43/0.89  (define @t197 () (_ (_ tptp.power_power_int @t195) @t43))
% 0.43/0.89  (define @t198 () (= @t197 tptp.zero_zero_int))
% 0.43/0.89  (define @t199 () (@list @t195 @t43))
% 0.43/0.89  (define @t200 () (_ (_ tptp.power_power_nat @t78) @t43))
% 0.43/0.89  (define @t201 () (= @t200 tptp.zero_zero_nat))
% 0.43/0.89  (define @t202 () (@list @t78 @t43))
% 0.43/0.89  (define @t203 () (= @t113 tptp.zero_zero_real))
% 0.43/0.89  (define @t204 () (_ (_ tptp.power_power_real @t113) @t43))
% 0.43/0.89  (define @t205 () (= @t204 tptp.zero_zero_real))
% 0.43/0.89  (define @t206 () (@list @t113 @t43))
% 0.43/0.89  (define @t207 () (_ @t92 @t184))
% 0.43/0.89  (define @t208 () (_ (_ tptp.ord_less_nat @t184) @t86))
% 0.43/0.89  (define @t209 () (_ tptp.ord_less_eq_nat @t78))
% 0.43/0.89  (define @t210 () (_ @t209 @t182))
% 0.43/0.89  (define @t211 () (_ @t183 @t43))
% 0.43/0.89  (define @t212 () (_ (_ tptp.ord_less_eq_nat @t200) @t211))
% 0.43/0.89  (define @t213 () (_ @t176 @t182))
% 0.43/0.89  (define @t214 () (@list @t78 @t182 @t43))
% 0.43/0.89  (define @t215 () (@var "B" tptp.int))
% 0.43/0.89  (define @t216 () (_ tptp.ord_less_eq_int @t195))
% 0.43/0.89  (define @t217 () (_ @t216 @t215))
% 0.43/0.89  (define @t218 () (_ (_ tptp.power_power_int @t215) @t43))
% 0.43/0.89  (define @t219 () (_ (_ tptp.ord_less_eq_int @t197) @t218))
% 0.43/0.89  (define @t220 () (_ tptp.ord_less_eq_int tptp.zero_zero_int))
% 0.43/0.89  (define @t221 () (_ @t220 @t215))
% 0.43/0.89  (define @t222 () (_ @t220 @t195))
% 0.43/0.89  (define @t223 () (@list @t195 @t215 @t43))
% 0.43/0.89  (define @t224 () (@var "B" tptp.real))
% 0.43/0.89  (define @t225 () (_ tptp.ord_less_eq_real @t113))
% 0.43/0.89  (define @t226 () (_ @t225 @t224))
% 0.43/0.89  (define @t227 () (_ (_ tptp.power_power_real @t224) @t43))
% 0.43/0.89  (define @t228 () (_ (_ tptp.ord_less_eq_real @t204) @t227))
% 0.43/0.89  (define @t229 () (_ tptp.ord_less_eq_real tptp.zero_zero_real))
% 0.43/0.89  (define @t230 () (_ @t229 @t224))
% 0.43/0.89  (define @t231 () (_ @t229 @t113))
% 0.43/0.89  (define @t232 () (@list @t113 @t224 @t43))
% 0.43/0.89  (define @t233 () (_ @t220 @t160))
% 0.43/0.89  (define @t234 () (@var "J" tptp.nat))
% 0.43/0.89  (define @t235 () (@var "I2" tptp.nat))
% 0.43/0.89  (define @t236 () (_ tptp.ord_less_eq_nat @t235))
% 0.43/0.89  (define @t237 () (_ @t236 @t234))
% 0.43/0.89  (define @t238 () (@list @t235 @t234))
% 0.43/0.89  (define @t239 () (_ tptp.ord_less_eq_real @t89))
% 0.43/0.89  (define @t240 () (_ @t121 @t182))
% 0.43/0.89  (define @t241 () (_ (_ tptp.ord_less_nat @t200) @t211))
% 0.43/0.89  (define @t242 () (@list @t78 @t43 @t182))
% 0.43/0.89  (define @t243 () (_ tptp.ord_less_int @t195))
% 0.43/0.89  (define @t244 () (_ @t243 @t215))
% 0.43/0.89  (define @t245 () (_ (_ tptp.ord_less_int @t197) @t218))
% 0.43/0.89  (define @t246 () (@list @t195 @t43 @t215))
% 0.43/0.89  (define @t247 () (_ tptp.ord_less_real @t113))
% 0.43/0.89  (define @t248 () (_ @t247 @t224))
% 0.43/0.89  (define @t249 () (_ (_ tptp.ord_less_real @t204) @t227))
% 0.43/0.89  (define @t250 () (@list @t113 @t43 @t224))
% 0.43/0.89  (define @t251 () (_ tptp.inverse_inverse_real @t113))
% 0.43/0.89  (define @t252 () (_ tptp.divide_divide_real @t113))
% 0.43/0.89  (define @t253 () (_ @t252 @t224))
% 0.43/0.89  (define @t254 () (not @t203))
% 0.43/0.89  (define @t255 () (= @t78 @t182))
% 0.43/0.89  (define @t256 () (= @t200 @t211))
% 0.43/0.89  (define @t257 () (= @t195 @t215))
% 0.43/0.89  (define @t258 () (= @t197 @t218))
% 0.43/0.89  (define @t259 () (= @t113 @t224))
% 0.43/0.89  (define @t260 () (= @t204 @t227))
% 0.43/0.89  (define @t261 () (@var "E2" tptp.real))
% 0.43/0.89  (define @t262 () (@var "N3" tptp.nat))
% 0.43/0.89  (define @t263 () (_ tptp.inverse_inverse_real (_ tptp.semiri2110766477t_real @t262)))
% 0.43/0.89  (define @t264 () (@list @t262))
% 0.43/0.89  (define @t265 () (_ @t128 @t261))
% 0.43/0.89  (define @t266 () (@var "D" tptp.real))
% 0.43/0.89  (define @t267 () (not (= @t262 @t116)))
% 0.43/0.89  (define @t268 () (@var "A3" tptp.nat))
% 0.43/0.89  (define @t269 () (@list @t262 @t268))
% 0.43/0.89  (define @t270 () (@var "X2" tptp.int))
% 0.43/0.89  (define @t271 () (@var "N3" tptp.int))
% 0.43/0.89  (define @t272 () (not (= @t271 @t270)))
% 0.43/0.89  (define @t273 () (@var "A3" tptp.int))
% 0.43/0.89  (define @t274 () (@list @t270))
% 0.43/0.89  (define @t275 () (@list @t271 @t273))
% 0.43/0.89  (define @t276 () (@var "N3" tptp.real))
% 0.43/0.89  (define @t277 () (not (= @t276 @t119)))
% 0.43/0.89  (define @t278 () (@var "A3" tptp.real))
% 0.43/0.89  (define @t279 () (@list @t276 @t278))
% 0.43/0.89  (define @t280 () (@list @t268 @t262))
% 0.43/0.89  (define @t281 () (@list @t273 @t271))
% 0.43/0.89  (define @t282 () (@list @t278 @t276))
% 0.43/0.89  (define @t283 () (_ @t209 tptp.zero_zero_nat))
% 0.43/0.89  (define @t284 () (@var "F" (-> tptp.nat tptp.nat)))
% 0.43/0.89  (define @t285 () (@var "J2" tptp.nat))
% 0.43/0.89  (define @t286 () (@var "I3" tptp.nat))
% 0.43/0.89  (define @t287 () (@var "M3" tptp.nat))
% 0.43/0.89  (define @t288 () (= @t287 @t262))
% 0.43/0.89  (define @t289 () (@list @t287 @t262))
% 0.43/0.89  (define @t290 () (_ @t129 @t195))
% 0.43/0.89  (define @t291 () (_ @t128 @t113))
% 0.43/0.89  (define @t292 () (_ tptp.power_power_nat @t235))
% 0.43/0.89  (define @t293 () (@var "K3" tptp.nat))
% 0.43/0.89  (define @t294 () (@var "I4" tptp.nat))
% 0.43/0.89  (define @t295 () (@var "X" tptp.a))
% 0.43/0.89  (define @t296 () (_ tptp.divide_divide_nat @t17))
% 0.43/0.89  (define @t297 () (_ @t296 @t13))
% 0.43/0.89  (define @t298 () (= (_ tptp.size_s1427607542list_a @t16) @t297))
% 0.43/0.89  (define @t299 () (forall @t18 @t298))
% 0.43/0.89  (define @t300 () (_ tptp.ord_less_eq_real @t224))
% 0.43/0.89  (define @t301 () (_ tptp.inverse_inverse_real @t224))
% 0.43/0.89  (define @t302 () (_ tptp.ord_less_eq_real @t251))
% 0.43/0.89  (define @t303 () (= (_ @t302 @t301) (_ @t300 @t113)))
% 0.43/0.89  (define @t304 () (_ @t128 @t224))
% 0.43/0.89  (define @t305 () (@list @t113 @t224))
% 0.43/0.89  (define @t306 () (_ tptp.ord_less_real @t224))
% 0.43/0.89  (define @t307 () (_ @t306 tptp.zero_zero_real))
% 0.43/0.89  (define @t308 () (_ @t247 tptp.zero_zero_real))
% 0.43/0.89  (define @t309 () (_ tptp.divide_divide_nat @t83))
% 0.43/0.89  (define @t310 () (_ @t309 @t43))
% 0.43/0.89  (define @t311 () (= @t310 tptp.zero_zero_nat))
% 0.43/0.89  (define @t312 () (@list @t113))
% 0.43/0.89  (define @t313 () (_ tptp.ord_less_real @t251))
% 0.43/0.89  (define @t314 () (_ @t306 @t113))
% 0.43/0.89  (define @t315 () (_ @t313 @t301))
% 0.43/0.89  (define @t316 () (= @t315 @t314))
% 0.43/0.89  (define @t317 () (= @t251 @t301))
% 0.43/0.89  (define @t318 () (= (_ tptp.inverse_inverse_real @t251) @t113))
% 0.43/0.89  (define @t319 () (@var "C" tptp.real))
% 0.43/0.89  (define @t320 () (= @t319 tptp.zero_zero_real))
% 0.43/0.89  (define @t321 () (or @t320 @t259))
% 0.43/0.89  (define @t322 () (_ tptp.divide_divide_real @t224))
% 0.43/0.89  (define @t323 () (_ @t322 @t319))
% 0.43/0.89  (define @t324 () (_ @t252 @t319))
% 0.43/0.89  (define @t325 () (@list @t113 @t319 @t224))
% 0.43/0.89  (define @t326 () (_ tptp.divide_divide_real @t319))
% 0.43/0.89  (define @t327 () (= @t224 tptp.zero_zero_real))
% 0.43/0.89  (define @t328 () (= @t251 tptp.zero_zero_real))
% 0.43/0.89  (define @t329 () (_ @t225 tptp.zero_zero_real))
% 0.43/0.89  (define @t330 () (@var "L" tptp.int))
% 0.43/0.89  (define @t331 () (_ (_ tptp.divide_divide_int @t160) @t330))
% 0.43/0.89  (define @t332 () (= @t331 tptp.zero_zero_int))
% 0.43/0.89  (define @t333 () (_ tptp.ord_less_int @t330))
% 0.43/0.89  (define @t334 () (_ tptp.ord_less_eq_int @t160))
% 0.43/0.89  (define @t335 () (@list @t160 @t330))
% 0.43/0.89  (define @t336 () (_ tptp.ord_less_int @t160))
% 0.43/0.89  (define @t337 () (@var "Y3" tptp.real))
% 0.43/0.89  (define @t338 () (_ tptp.ord_less_real @t119))
% 0.43/0.89  (define @t339 () (_ @t178 @t83))
% 0.43/0.89  (define @t340 () (@var "Y4" tptp.nat))
% 0.43/0.89  (define @t341 () (_ tptp.divide_divide_nat @t43))
% 0.43/0.89  (define @t342 () (@var "X4" tptp.real))
% 0.43/0.89  (define @t343 () (@var "Y4" tptp.real))
% 0.43/0.89  (define @t344 () (@list @t343))
% 0.43/0.89  (define @t345 () (@list @t342))
% 0.43/0.89  (define @t346 () (@var "X_1" tptp.real))
% 0.43/0.89  (define @t347 () (@list @t83 @t43 @t13))
% 0.43/0.89  (define @t348 () (forall @t85 (_ (_ tptp.ord_less_eq_nat @t310) @t83)))
% 0.43/0.89  (define @t349 () (_ @t300 tptp.zero_zero_real))
% 0.43/0.89  (define @t350 () (@list @t113 @t224 @t319))
% 0.43/0.89  (define @t351 () (@var "Y" tptp.real))
% 0.43/0.89  (define @t352 () (_ (_ tptp.divide_divide_real @t89) @t351))
% 0.43/0.89  (define @t353 () (_ @t229 @t352))
% 0.43/0.89  (define @t354 () (_ @t229 @t351))
% 0.43/0.89  (define @t355 () (_ @t229 @t89))
% 0.43/0.89  (define @t356 () (@list @t89 @t351))
% 0.43/0.89  (define @t357 () (_ (_ tptp.ord_less_eq_real @t352) tptp.zero_zero_real))
% 0.43/0.89  (define @t358 () (_ (_ tptp.ord_less_eq_real @t351) tptp.zero_zero_real))
% 0.43/0.89  (define @t359 () (_ @t239 tptp.zero_zero_real))
% 0.43/0.89  (define @t360 () (_ @t128 @t352))
% 0.43/0.89  (define @t361 () (_ (_ tptp.ord_less_real @t351) tptp.zero_zero_real))
% 0.43/0.89  (define @t362 () (_ @t165 tptp.zero_zero_real))
% 0.43/0.89  (define @t363 () (_ (_ tptp.ord_less_real @t352) tptp.zero_zero_real))
% 0.43/0.89  (define @t364 () (_ @t128 @t351))
% 0.43/0.89  (define @t365 () (_ (_ tptp.ord_less_real @t319) tptp.zero_zero_real))
% 0.43/0.89  (define @t366 () (_ @t128 @t319))
% 0.43/0.89  (define @t367 () (_ (_ tptp.ord_less_real @t324) @t323))
% 0.43/0.89  (define @t368 () (_ tptp.divide_divide_nat @t13))
% 0.43/0.89  (define @t369 () (@var "Z" tptp.real))
% 0.43/0.89  (define @t370 () (@var "X3" tptp.real))
% 0.43/0.89  (define @t371 () (@var "S2" tptp.set_real))
% 0.43/0.89  (define @t372 () (@list @t370))
% 0.43/0.89  (define @t373 () (forall @t372 (=> (_ (_ tptp.member_real @t370) @t371) (_ (_ tptp.ord_less_eq_real @t370) @t369))))
% 0.43/0.89  (define @t374 () (@list @t369))
% 0.43/0.89  (define @t375 () (_ (_ tptp.member_real @t342) @t371))
% 0.43/0.89  (define @t376 () (_ @t129 @t215))
% 0.43/0.89  (define @t377 () (_ tptp.divide_divide_int @t195))
% 0.43/0.89  (define @t378 () (_ @t377 @t215))
% 0.43/0.89  (define @t379 () (@list @t195 @t215))
% 0.43/0.89  (define @t380 () (_ @t220 @t378))
% 0.43/0.89  (define @t381 () (@list @t215 @t195))
% 0.43/0.89  (define @t382 () (_ (_ tptp.ord_less_int @t378) tptp.zero_zero_int))
% 0.43/0.89  (define @t383 () (_ @t243 tptp.zero_zero_int))
% 0.43/0.89  (define @t384 () (_ (_ tptp.ord_less_int @t215) tptp.zero_zero_int))
% 0.43/0.89  (define @t385 () (_ tptp.semiri2019852685at_int @t78))
% 0.43/0.89  (define @t386 () (@var "A4" tptp.int))
% 0.43/0.89  (define @t387 () (_ (_ tptp.divide_divide_int @t386) @t215))
% 0.43/0.89  (define @t388 () (_ tptp.ord_less_eq_int @t378))
% 0.43/0.89  (define @t389 () (_ @t216 @t386))
% 0.43/0.89  (define @t390 () (@list @t195 @t386 @t215))
% 0.43/0.89  (define @t391 () (@var "B2" tptp.int))
% 0.43/0.89  (define @t392 () (_ @t377 @t391))
% 0.43/0.89  (define @t393 () (_ (_ tptp.ord_less_eq_int @t391) @t215))
% 0.43/0.89  (define @t394 () (_ @t129 @t391))
% 0.43/0.89  (define @t395 () (@list @t195 @t391 @t215))
% 0.43/0.89  (define @t396 () (@var "I2" tptp.int))
% 0.43/0.89  (define @t397 () (= @t160 tptp.zero_zero_int))
% 0.43/0.89  (define @t398 () (_ (_ tptp.divide_divide_int @t396) @t160))
% 0.43/0.89  (define @t399 () (_ @t388 tptp.zero_zero_int))
% 0.43/0.89  (define @t400 () (_ @t216 tptp.zero_zero_int))
% 0.43/0.89  (define @t401 () (@var "Y2" tptp.real))
% 0.43/0.89  (define @t402 () (@list @t43 @t113))
% 0.43/0.89  (define @t403 () (@var "R" tptp.real))
% 0.43/0.89  (define @t404 () (@var "B3" tptp.nat))
% 0.43/0.89  (define @t405 () (_ tptp.semiri2019852685at_int @t404))
% 0.43/0.89  (define @t406 () (_ tptp.semiri2019852685at_int @t268))
% 0.43/0.89  (define @t407 () (@list @t268 @t404))
% 0.43/0.89  (define @t408 () (@var "P" Bool))
% 0.43/0.89  (define @t409 () (_ tptp.semiri2019852685at_int (_ (_ (_ tptp.if_nat @t408) @t78) @t182)))
% 0.43/0.89  (define @t410 () (@var "Z2" tptp.nat))
% 0.43/0.89  (define @t411 () (@var "Y5" tptp.nat))
% 0.43/0.89  (define @t412 () (_ @t341 @t83))
% 0.43/0.89  (define @t413 () (= (_ (_ tptp.listSl97544552lice_a tptp.nil_a) tptp.k) tptp.nil_list_a))
% 0.43/0.89  (define @t414 () (not @t413))
% 0.43/0.89  (define @t415 () (@var "K2" tptp.nat))
% 0.43/0.89  (define @t416 () (@var "Xs3" tptp.list_a))
% 0.43/0.89  (define @t417 () (lambda (@list @t416 @t415) (_ (_ (_ tptp.listSl1495374126_aux_a @t416) @t415) (_ (_ tptp.divide_divide_nat (_ tptp.size_size_list_a @t416)) @t415))))
% 0.43/0.89  (define @t418 () (_ (_ tptp.ord_less_nat @t116) @t268))
% 0.43/0.89  (define @t419 () (=> @t418 @t267))
% 0.43/0.89  (define @t420 () (forall @t117 @t419))
% 0.43/0.89  (define @t421 () (lambda @t280 @t420))
% 0.43/0.89  (define @t422 () (lambda @t281 (forall @t274 (=> (_ (_ tptp.ord_less_int @t270) @t273) @t272))))
% 0.43/0.89  (define @t423 () (lambda @t282 (forall @t120 (=> (_ @t338 @t278) @t277))))
% 0.43/0.89  (define @t424 () (lambda @t407 (_ (_ tptp.ord_less_int @t406) @t405)))
% 0.43/0.89  (define @t425 () (tptp.size_s1427607542list_a @t1))
% 0.43/0.89  (define @t426 () (tptp.semiri2019852685at_int @t425))
% 0.43/0.89  (define @t427 () (_ tptp.concat_list_a @t7))
% 0.43/0.89  (define @t428 () (tptp.concat_list_list_a tptp.nil_list_list_list_a))
% 0.43/0.89  (define @t429 () (tptp.concat_list_a @t428))
% 0.43/0.89  (define @t430 () (tptp.size_s1427607542list_a @t429))
% 0.43/0.89  (define @t431 () (_ tptp.size_s1427607542list_a @t427))
% 0.43/0.89  (define @t432 () (tptp.semiri2019852685at_int @t431))
% 0.43/0.89  (define @t433 () (tptp.ord_less_int @t432 @t426))
% 0.43/0.89  (define @t434 () (= @t1 @t427))
% 0.43/0.89  (define @t435 () (not @t434))
% 0.43/0.89  (define @t436 () (= @t435 @t433))
% 0.43/0.89  (define @t437 () (not (= @t427 @t1)))
% 0.43/0.89  (define @t438 () (= @t437 @t433))
% 0.43/0.89  (define @t439 () (tptp.semiri2019852685at_int tptp.zero_zero_nat))
% 0.43/0.89  (define @t440 () (tptp.ord_less_int @t439 @t426))
% 0.43/0.89  (define @t441 () (= tptp.nil_list_a @t1))
% 0.43/0.89  (define @t442 () (not @t441))
% 0.43/0.89  (define @t443 () (= @t442 @t440))
% 0.43/0.89  (define @t444 () (_ tptp.semiri2019852685at_int @t14))
% 0.43/0.89  (define @t445 () (_ tptp.ord_less_int @t145))
% 0.43/0.89  (define @t446 () (_ @t445 @t444))
% 0.43/0.89  (define @t447 () (= @t442 @t446))
% 0.43/0.89  (define @t448 () (lambda (@list @t404) (_ @t445 @t405)))
% 0.43/0.89  (define @t449 () (_ @t424 tptp.zero_zero_nat))
% 0.43/0.89  (define @t450 () (_ @t449 @t14))
% 0.43/0.89  (define @t451 () (_ tptp.semiri2019852685at_int @t310))
% 0.43/0.89  (define @t452 () (tptp.divide_divide_nat @t83 @t43))
% 0.43/0.89  (define @t453 () (tptp.semiri2019852685at_int @t452))
% 0.43/0.89  (define @t454 () (tptp.semiri2019852685at_int @t83))
% 0.43/0.89  (define @t455 () (tptp.ord_less_int @t454 @t453))
% 0.43/0.89  (define @t456 () (_ @t152 @t451))
% 0.43/0.89  (define @t457 () (not @t456))
% 0.43/0.89  (define @t458 () (_ tptp.ord_less_int (_ tptp.semiri2019852685at_int @t262)))
% 0.43/0.89  (define @t459 () (lambda @t264 (not (_ @t458 @t451))))
% 0.43/0.89  (define @t460 () (_ @t458 @t406))
% 0.43/0.89  (define @t461 () (_ @t424 @t262 @t268))
% 0.43/0.89  (define @t462 () (not @t461))
% 0.43/0.89  (define @t463 () (lambda @t280 @t462))
% 0.43/0.89  (define @t464 () (not (tptp.ord_less_nat @t262 @t268)))
% 0.43/0.89  (define @t465 () (not (= @t262 @t262)))
% 0.43/0.89  (define @t466 () (or @t464 @t465))
% 0.43/0.89  (define @t467 () (not (= @t116 @t262)))
% 0.43/0.89  (define @t468 () (tptp.ord_less_nat @t116 @t268))
% 0.43/0.89  (define @t469 () (not @t468))
% 0.43/0.89  (define @t470 () (or @t467 @t469 @t467))
% 0.43/0.89  (define @t471 () (or @t469 @t467))
% 0.43/0.89  (define @t472 () (not @t418))
% 0.43/0.89  (define @t473 () (or @t472 @t467))
% 0.43/0.89  (define @t474 () (tptp.concat_a @t429))
% 0.43/0.89  (define @t475 () (tptp.gen_length_a @t430 @t474))
% 0.43/0.89  (define @t476 () (tptp.gen_length_a @t430 @t4))
% 0.43/0.89  (define @t477 () (_ tptp.gen_length_a @t430))
% 0.43/0.89  (define @t478 () (_ tptp.gen_length_a @t431))
% 0.43/0.89  (define @t479 () (_ @t478 @t4))
% 0.43/0.89  (define @t480 () (tptp.divide_divide_nat @t479 @t13))
% 0.43/0.89  (define @t481 () (tptp.listSl1495374126_aux_a @t4 @t13 @t480))
% 0.43/0.89  (define @t482 () (tptp.size_s1427607542list_a @t481))
% 0.43/0.89  (define @t483 () (= @t480 @t482))
% 0.43/0.89  (define @t484 () (_ @t478 @t4))
% 0.43/0.89  (define @t485 () (tptp.divide_divide_nat @t484 @t13))
% 0.43/0.89  (define @t486 () (tptp.listSl1495374126_aux_a @t4 @t13 @t485))
% 0.43/0.89  (define @t487 () (tptp.size_s1427607542list_a @t486))
% 0.43/0.89  (define @t488 () (= @t485 @t487))
% 0.43/0.89  (define @t489 () (tptp.size_size_list_a @t4))
% 0.43/0.89  (define @t490 () (tptp.divide_divide_nat @t489 @t13))
% 0.43/0.89  (define @t491 () (tptp.listSl1495374126_aux_a @t4 @t13 @t490))
% 0.43/0.89  (define @t492 () (tptp.size_s1427607542list_a @t491))
% 0.43/0.89  (define @t493 () (= @t490 @t492))
% 0.43/0.89  (define @t494 () (_ @t131 @t297))
% 0.43/0.89  (define @t495 () (_ tptp.size_s1427607542list_a @t494))
% 0.43/0.89  (define @t496 () (= @t297 @t495))
% 0.43/0.89  (define @t497 () (@list @t415))
% 0.43/0.89  (define @t498 () (lambda @t497 (_ (_ @t130 @t415) (_ @t296 @t415))))
% 0.43/0.89  (define @t499 () (_ @t417 @t4))
% 0.43/0.89  (define @t500 () (= (_ tptp.size_s1427607542list_a (_ @t499 @t13)) @t297))
% 0.43/0.89  (define @t501 () (tptp.divide_divide_nat @t475 tptp.k))
% 0.43/0.89  (define @t502 () (tptp.listSl1495374126_aux_a @t474 tptp.k @t501))
% 0.43/0.89  (define @t503 () (tptp.semiri2019852685at_int (tptp.size_s1427607542list_a @t502)))
% 0.43/0.89  (define @t504 () (_ tptp.concat_a @t427))
% 0.43/0.89  (define @t505 () (_ @t478 @t504))
% 0.43/0.89  (define @t506 () (tptp.semiri2019852685at_int @t430))
% 0.43/0.89  (define @t507 () (tptp.ord_less_int @t506 @t503))
% 0.43/0.89  (define @t508 () (_ (_ tptp.divide_divide_nat @t505) tptp.k))
% 0.43/0.89  (define @t509 () (_ (_ (_ tptp.listSl1495374126_aux_a @t504) tptp.k) @t508))
% 0.43/0.89  (define @t510 () (= @t427 @t509))
% 0.43/0.89  (define @t511 () (_ tptp.divide_divide_nat @t67))
% 0.43/0.89  (define @t512 () (_ tptp.listSl1495374126_aux_a tptp.nil_a))
% 0.43/0.89  (define @t513 () (_ (_ @t512 tptp.k) (_ @t511 tptp.k)))
% 0.43/0.89  (define @t514 () (= tptp.nil_list_a @t513))
% 0.43/0.89  (define @t515 () (lambda @t497 (_ (_ @t512 @t415) (_ @t511 @t415))))
% 0.43/0.89  (define @t516 () (_ @t417 tptp.nil_a))
% 0.43/0.89  (define @t517 () (= (_ @t516 tptp.k) tptp.nil_list_a))
% 0.43/0.89  (define @t518 () (= @t429 @t502))
% 0.43/0.89  (define @t519 () (not @t518))
% 0.43/0.89  (define @t520 () (= @t519 @t507))
% 0.43/0.89  (define @t521 () (not @t520))
% 0.43/0.89  (define @t522 () (not (= @t502 @t429)))
% 0.43/0.89  (define @t523 () (= @t522 @t507))
% 0.43/0.89  (define @t524 () (forall @t3 (= (not (= @t1 @t429)) (tptp.ord_less_int @t506 @t426))))
% 0.43/0.89  (assume @p1 (forall @t3 (= (_ @t2 tptp.zero_zero_nat) tptp.nil_list_list_a)))
% 0.43/0.89  (assume @p2 (forall @t6 (= (_ @t5 tptp.zero_zero_nat) tptp.nil_list_a)))
% 0.43/0.89  (assume @p3 (= @t7 tptp.nil_list_list_a))
% 0.43/0.89  (assume @p4 (= @t8 tptp.nil_list_a))
% 0.43/0.89  (assume @p5 (= @t9 tptp.nil_a))
% 0.43/0.89  (assume @p6 (forall (@list @t10) (not (_ (_ tptp.list_ex1_list_list_a @t10) tptp.nil_list_list_a))))
% 0.43/0.89  (assume @p7 (forall (@list @t11) (not (_ (_ tptp.list_ex1_a @t11) tptp.nil_a))))
% 0.43/0.89  (assume @p8 (forall (@list @t12) (not (_ (_ tptp.list_ex1_list_a @t12) tptp.nil_list_a))))
% 0.43/0.89  (assume @p9 (forall @t15 (=> (_ (_ tptp.ord_less_nat @t14) @t13) (= (_ @t2 @t13) tptp.nil_list_list_a))))
% 0.43/0.89  (assume @p10 (forall @t18 (=> (_ (_ tptp.ord_less_nat @t17) @t13) (= @t16 tptp.nil_list_a))))
% 0.43/0.89  (assume @p11 (forall @t20 (= (_ (_ tptp.bind_a_list_list_a tptp.nil_a) @t19) tptp.nil_list_list_a)))
% 0.43/0.89  (assume @p12 (forall @t22 (= (_ (_ tptp.bind_l971853709list_a tptp.nil_list_a) @t21) tptp.nil_list_list_a)))
% 0.43/0.89  (assume @p13 (forall @t24 (= (_ (_ tptp.bind_list_list_a_a tptp.nil_list_list_a) @t23) tptp.nil_a)))
% 0.43/0.89  (assume @p14 (forall @t26 (= (_ (_ tptp.bind_l94945665list_a tptp.nil_list_list_a) @t25) tptp.nil_list_a)))
% 0.43/0.89  (assume @p15 (forall @t28 (= (_ (_ tptp.bind_l311701255list_a tptp.nil_list_list_a) @t27) tptp.nil_list_list_a)))
% 0.43/0.89  (assume @p16 (forall @t30 (= (_ (_ tptp.bind_a_a tptp.nil_a) @t29) tptp.nil_a)))
% 0.43/0.89  (assume @p17 (forall @t32 (= (_ (_ tptp.bind_a_list_a tptp.nil_a) @t31) tptp.nil_list_a)))
% 0.43/0.89  (assume @p18 (forall @t34 (= (_ (_ tptp.bind_list_a_a tptp.nil_list_a) @t33) tptp.nil_a)))
% 0.43/0.89  (assume @p19 (forall @t36 (= (_ (_ tptp.bind_list_a_list_a tptp.nil_list_a) @t35) tptp.nil_list_a)))
% 0.43/0.89  (assume @p20 (forall @t38 (not (_ (_ tptp.member_list_list_a tptp.nil_list_list_a) @t37))))
% 0.43/0.89  (assume @p21 (forall @t40 (not (_ (_ tptp.member_a tptp.nil_a) @t39))))
% 0.43/0.89  (assume @p22 (forall @t42 (not (_ (_ tptp.member_list_a tptp.nil_list_a) @t41))))
% 0.43/0.89  (assume @p23 (forall @t44 (= (_ (_ tptp.gen_le840878749list_a @t43) tptp.nil_list_list_a) @t43)))
% 0.43/0.89  (assume @p24 (forall @t44 (= (_ (_ tptp.gen_length_a @t43) tptp.nil_a) @t43)))
% 0.43/0.89  (assume @p25 (forall @t44 (= (_ (_ tptp.gen_length_list_a @t43) tptp.nil_list_a) @t43)))
% 0.43/0.89  (assume @p26 (forall @t20 (= (_ (_ tptp.maps_a_list_list_a @t19) tptp.nil_a) tptp.nil_list_list_a)))
% 0.43/0.89  (assume @p27 (forall @t22 (= (_ (_ tptp.maps_l755382343list_a @t21) tptp.nil_list_a) tptp.nil_list_list_a)))
% 0.43/0.89  (assume @p28 (forall @t24 (= (_ (_ tptp.maps_list_list_a_a @t23) tptp.nil_list_list_a) tptp.nil_a)))
% 0.43/0.89  (assume @p29 (forall @t26 (= (_ (_ tptp.maps_l2025957947list_a @t25) tptp.nil_list_list_a) tptp.nil_list_a)))
% 0.43/0.89  (assume @p30 (forall @t28 (= (_ (_ tptp.maps_l57963201list_a @t27) tptp.nil_list_list_a) tptp.nil_list_list_a)))
% 0.43/0.89  (assume @p31 (forall @t30 (= (_ (_ tptp.maps_a_a @t29) tptp.nil_a) tptp.nil_a)))
% 0.43/0.89  (assume @p32 (forall @t32 (= (_ (_ tptp.maps_a_list_a @t31) tptp.nil_a) tptp.nil_list_a)))
% 0.43/0.89  (assume @p33 (forall @t34 (= (_ (_ tptp.maps_list_a_a @t33) tptp.nil_list_a) tptp.nil_a)))
% 0.43/0.89  (assume @p34 (forall @t36 (= (_ (_ tptp.maps_list_a_list_a @t35) tptp.nil_list_a) tptp.nil_list_a)))
% 0.43/0.89  (assume @p35 (_ tptp.null_list_list_a tptp.nil_list_list_a))
% 0.43/0.89  (assume @p36 (_ tptp.null_a tptp.nil_a))
% 0.43/0.89  (assume @p37 (_ tptp.null_list_a tptp.nil_list_a))
% 0.43/0.89  (assume @p38 (forall @t6 (= @t45 (_ tptp.null_a @t4))))
% 0.43/0.89  (assume @p39 (forall @t3 (= @t46 (_ tptp.null_list_a @t1))))
% 0.43/0.89  (assume @p40 (forall @t49 (= @t48 (_ tptp.null_list_list_a @t47))))
% 0.43/0.89  (assume @p41 (forall (@list @t50) (= (_ (_ tptp.map_filter_a_a @t50) tptp.nil_a) tptp.nil_a)))
% 0.43/0.89  (assume @p42 (forall (@list @t51) (= (_ (_ tptp.map_filter_a_list_a @t51) tptp.nil_a) tptp.nil_list_a)))
% 0.43/0.89  (assume @p43 (forall (@list @t52) (= (_ (_ tptp.map_fi2089402454list_a @t52) tptp.nil_a) tptp.nil_list_list_a)))
% 0.43/0.89  (assume @p44 (forall (@list @t53) (= (_ (_ tptp.map_filter_list_a_a @t53) tptp.nil_list_a) tptp.nil_a)))
% 0.43/0.89  (assume @p45 (forall (@list @t54) (= (_ (_ tptp.map_fi461586634list_a @t54) tptp.nil_list_a) tptp.nil_list_a)))
% 0.43/0.89  (assume @p46 (forall (@list @t55) (= (_ (_ tptp.map_fi1090123216list_a @t55) tptp.nil_list_a) tptp.nil_list_list_a)))
% 0.43/0.89  (assume @p47 (forall (@list @t56) (= (_ (_ tptp.map_fi1574988606st_a_a @t56) tptp.nil_list_list_a) tptp.nil_a)))
% 0.43/0.89  (assume @p48 (forall (@list @t57) (= (_ (_ tptp.map_fi213215172list_a @t57) tptp.nil_list_list_a) tptp.nil_list_a)))
% 0.43/0.89  (assume @p49 (forall (@list @t58) (= (_ (_ tptp.map_fi824137674list_a @t58) tptp.nil_list_list_a) tptp.nil_list_list_a)))
% 0.43/0.89  (assume @p50 (forall @t3 (= (= @t14 tptp.zero_zero_nat) @t46)))
% 0.43/0.89  (assume @p51 (forall @t49 (= (= @t59 tptp.zero_zero_nat) @t48)))
% 0.43/0.89  (assume @p52 (forall @t6 (= (= @t17 tptp.zero_zero_nat) @t45)))
% 0.43/0.89  (assume @p53 @t63)
% 0.43/0.89  (assume @p54 (forall @t49 (= (_ @t61 @t59) @t64)))
% 0.43/0.89  (assume @p55 (forall @t6 (= (_ @t61 @t17) @t65)))
% 0.43/0.89  (assume @p56 (= @t66 tptp.zero_zero_nat))
% 0.43/0.89  (assume @p57 (= (_ tptp.size_s575106428list_a tptp.nil_list_list_a) tptp.zero_zero_nat))
% 0.43/0.89  (assume @p58 (= @t67 tptp.zero_zero_nat))
% 0.43/0.89  (assume @p59 (= tptp.size_s1427607542list_a (_ tptp.gen_length_list_a tptp.zero_zero_nat)))
% 0.43/0.89  (assume @p60 @t68)
% 0.43/0.89  (assume @p61 (forall (@list @t12 @t4) (=> (forall @t72 (=> (forall (@list @t70) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_size_list_a @t70)) @t71) (_ @t12 @t70))) (_ @t12 @t69))) (_ @t12 @t4))))
% 0.43/0.89  (assume @p62 (forall @t44 (exists @t72 (= @t71 @t43))))
% 0.43/0.89  (assume @p63 (forall (@list @t4 @t73) (=> (not (= @t17 (_ tptp.size_size_list_a @t73))) (not (= @t4 @t73)))))
% 0.43/0.89  (assume @p64 (forall @t44 (= @t76 @t74)))
% 0.43/0.89  (assume @p65 (forall @t44 (not (_ @t77 tptp.zero_zero_nat))))
% 0.43/0.89  (assume @p66 (forall @t82 (= @t81 @t79)))
% 0.43/0.89  (assume @p67 (forall @t44 (= (not @t74) @t75)))
% 0.43/0.89  (assume @p68 (forall (@list @t43 @t1) (=> (_ @t77 @t14) @t60)))
% 0.43/0.89  (assume @p69 (forall (@list @t43 @t47) (=> (_ @t77 @t59) @t64)))
% 0.43/0.89  (assume @p70 (forall (@list @t43 @t4) (=> (_ @t77 @t17) @t65)))
% 0.43/0.89  (assume @p71 (forall @t44 (=> @t76 @t74)))
% 0.43/0.89  (assume @p72 (forall @t85 (=> @t84 @t76)))
% 0.43/0.89  (assume @p73 (forall @t87 (= (= tptp.zero_zero_nat @t86) (= @t86 tptp.zero_zero_nat))))
% 0.43/0.89  (assume @p74 (forall (@list @t88) (= (= tptp.zero_zero_int @t88) (= @t88 tptp.zero_zero_int))))
% 0.43/0.89  (assume @p75 (forall @t90 (= (= tptp.zero_zero_real @t89) (= @t89 tptp.zero_zero_real))))
% 0.43/0.89  (assume @p76 (forall @t93 (=> (not (= @t86 @t91)) (=> (not (_ @t92 @t91)) (_ (_ tptp.ord_less_nat @t91) @t86)))))
% 0.43/0.89  (assume @p77 (forall @t104 (=> (forall @t103 @t102) @t95)))
% 0.43/0.89  (assume @p78 (forall @t104 (=> (forall @t103 (=> (forall @t100 (=> @t99 @t97)) @t101)) @t95)))
% 0.43/0.89  (assume @p79 (forall @t44 (not (_ @t77 @t43))))
% 0.43/0.89  (assume @p80 (forall (@list @t106 @t105) (=> (_ (_ tptp.ord_less_nat @t106) @t105) (not (= @t106 @t105)))))
% 0.43/0.89  (assume @p81 (forall @t110 (=> @t109 @t108)))
% 0.43/0.89  (assume @p82 (forall @t85 (= @t108 (or @t84 @t109))))
% 0.43/0.89  (assume @p83 (forall (@list @t111 @t41) (=> (not (= (_ tptp.size_size_list_a @t111) (_ tptp.size_size_list_a @t41))) (not (= @t111 @t41)))))
% 0.43/0.89  (assume @p84 (forall @t44 (= @t74 @t76)))
% 0.43/0.89  (assume @p85 (forall (@list @t78 @t94) (= (_ (_ tptp.member_nat @t78) (_ tptp.collect_nat @t94)) @t112)))
% 0.43/0.89  (assume @p86 (forall (@list @t113 @t114) (= (_ (_ tptp.member_real @t113) (_ tptp.collect_real @t114)) (_ @t114 @t113))))
% 0.43/0.89  (assume @p87 (forall (@list @t115) (= (_ tptp.collect_nat (lambda @t117 (_ (_ tptp.member_nat @t116) @t115))) @t115)))
% 0.43/0.89  (assume @p88 (forall (@list @t118) (= (_ tptp.collect_real (lambda @t120 (_ (_ tptp.member_real @t119) @t118))) @t118)))
% 0.43/0.89  (assume @p89 (forall @t82 (not (_ @t121 tptp.zero_zero_nat))))
% 0.43/0.89  (assume @p90 (forall @t104 (=> @t123 (=> (forall @t103 (=> @t122 @t102)) @t95))))
% 0.43/0.89  (assume @p91 (forall @t85 (=> @t84 @t74)))
% 0.43/0.89  (assume @p92 (forall (@list @t127 @t124) (=> (_ @t128 @t127) (=> (_ @t128 @t124) (exists (@list @t125) (and (_ @t128 @t125) (_ @t126 @t127) (_ @t126 @t124)))))))
% 0.43/0.89  (assume @p93 (not (_ @t61 tptp.zero_zero_nat)))
% 0.43/0.89  (assume @p94 (not (_ @t129 tptp.zero_zero_int)))
% 0.43/0.89  (assume @p95 (not (_ @t128 tptp.zero_zero_real)))
% 0.43/0.89  (assume @p96 (forall @t18 (= (_ @t131 tptp.zero_zero_nat) tptp.nil_list_a)))
% 0.43/0.89  (assume @p97 (forall @t15 (= (_ (_ (_ tptp.listSl856612276list_a @t1) @t13) tptp.zero_zero_nat) tptp.nil_list_list_a)))
% 0.43/0.89  (assume @p98 (forall @t44 (= (_ @t61 @t132) @t74)))
% 0.43/0.89  (assume @p99 (forall @t44 (= (_ @t129 @t133) @t74)))
% 0.43/0.89  (assume @p100 (forall @t44 (= (_ @t128 @t134) @t74)))
% 0.43/0.89  (assume @p101 (forall @t40 (= (_ (_ tptp.count_list_a tptp.nil_a) @t39) tptp.zero_zero_nat)))
% 0.43/0.89  (assume @p102 (forall @t42 (= (_ (_ tptp.count_list_list_a tptp.nil_list_a) @t41) tptp.zero_zero_nat)))
% 0.43/0.89  (assume @p103 (forall @t38 (= (_ (_ tptp.count_429956358list_a tptp.nil_list_list_a) @t37) tptp.zero_zero_nat)))
% 0.43/0.89  (assume @p104 (forall (@list @t139 @t94 @t78) (=> (forall @t142 (=> (forall @t141 (=> (and @t140 (_ (_ tptp.member_nat @t137) @t139) (_ (_ tptp.ord_less_nat @t137) @t135)) @t138)) @t136)) @t112)))
% 0.43/0.89  (assume @p105 (= tptp.zero_zero_nat tptp.zero_zero_nat))
% 0.43/0.89  (assume @p106 (forall @t85 (= (= @t143 @t133) @t107)))
% 0.43/0.89  (assume @p107 (forall @t85 (= (= @t144 @t134) @t107)))
% 0.43/0.89  (assume @p108 (= (_ tptp.semiri1382578993at_nat tptp.zero_zero_nat) tptp.zero_zero_nat))
% 0.43/0.89  (assume @p109 (= @t145 tptp.zero_zero_int))
% 0.43/0.89  (assume @p110 (= (_ tptp.semiri2110766477t_real tptp.zero_zero_nat) tptp.zero_zero_real))
% 0.43/0.89  (assume @p111 (forall @t44 (= (= tptp.zero_zero_nat @t132) @t146)))
% 0.43/0.89  (assume @p112 (forall @t44 (= (= tptp.zero_zero_int @t133) @t146)))
% 0.43/0.89  (assume @p113 (forall @t44 (= (= tptp.zero_zero_real @t134) @t146)))
% 0.43/0.89  (assume @p114 (forall @t149 (= (= @t148 tptp.zero_zero_nat) @t147)))
% 0.43/0.89  (assume @p115 (forall @t149 (= (= @t143 tptp.zero_zero_int) @t147)))
% 0.43/0.89  (assume @p116 (forall @t149 (= (= @t144 tptp.zero_zero_real) @t147)))
% 0.43/0.89  (assume @p117 (forall @t85 (= @t151 @t84)))
% 0.43/0.89  (assume @p118 (forall @t85 (= @t153 @t84)))
% 0.43/0.89  (assume @p119 (forall @t85 (= @t155 @t84)))
% 0.43/0.89  (assume @p120 (forall @t149 (not (_ @t150 tptp.zero_zero_nat))))
% 0.43/0.89  (assume @p121 (forall @t149 (not (_ @t152 tptp.zero_zero_int))))
% 0.43/0.89  (assume @p122 (forall @t149 (not (_ @t154 tptp.zero_zero_real))))
% 0.43/0.89  (assume @p123 (forall @t85 (=> @t84 @t151)))
% 0.43/0.89  (assume @p124 (forall @t85 (=> @t84 @t153)))
% 0.43/0.89  (assume @p125 (forall @t85 (=> @t84 @t155)))
% 0.43/0.89  (assume @p126 (forall @t85 (=> @t151 @t84)))
% 0.43/0.89  (assume @p127 (forall @t85 (=> @t153 @t84)))
% 0.43/0.89  (assume @p128 (forall @t85 (=> @t155 @t84)))
% 0.43/0.89  (assume @p129 (forall (@list @t13 @t139 @t94) (=> (_ (_ tptp.member_nat @t13) @t139) (=> @t158 @t157))))
% 0.43/0.89  (assume @p130 (forall (@list @t139 @t94) (=> (exists (@list @t159) (and (_ (_ tptp.member_nat @t159) @t139) (_ @t94 @t159))) @t157)))
% 0.43/0.89  (assume @p131 (forall @t163 (=> @t162 (exists @t103 (and @t122 @t161)))))
% 0.43/0.89  (assume @p132 (forall @t163 (=> @t162 (not (forall @t103 (=> @t161 (not @t122)))))))
% 0.43/0.89  (assume @p133 (forall @t90 (exists @t103 (_ @t165 @t164))))
% 0.43/0.89  (assume @p134 (forall @t168 (= (_ @t61 (_ (_ tptp.power_power_nat @t167) @t43)) @t166)))
% 0.43/0.89  (assume @p135 (forall @t168 (= (_ @t129 (_ (_ tptp.power_power_int @t169) @t43)) @t166)))
% 0.43/0.89  (assume @p136 (forall @t168 (= (_ @t128 (_ (_ tptp.power_power_real @t170) @t43)) @t166)))
% 0.43/0.89  (assume @p137 (forall @t149 (= (_ @t171 tptp.zero_zero_nat) @t147)))
% 0.43/0.89  (assume @p138 (forall @t149 (= (_ @t172 tptp.zero_zero_int) @t147)))
% 0.43/0.89  (assume @p139 (forall @t149 (= (_ @t173 tptp.zero_zero_real) @t147)))
% 0.43/0.89  (assume @p140 (forall @t90 (=> @t175 (exists @t103 (and @t122 (_ (_ tptp.ord_less_real @t174) @t89))))))
% 0.43/0.89  (assume @p141 (forall @t82 @t177))
% 0.43/0.89  (assume @p142 (forall @t44 (_ @t176 @t43)))
% 0.43/0.89  (assume @p143 (forall @t44 (= (_ @t178 tptp.zero_zero_nat) @t75)))
% 0.43/0.89  (assume @p144 (forall @t85 (= (_ @t171 @t132) @t179)))
% 0.43/0.89  (assume @p145 (forall @t85 (= (_ @t172 @t133) @t179)))
% 0.43/0.89  (assume @p146 (forall @t85 (= (_ @t173 @t134) @t179)))
% 0.43/0.89  (assume @p147 (forall @t168 (= (_ @t61 (_ (_ tptp.power_power_nat @t86) @t43)) @t166)))
% 0.43/0.89  (assume @p148 (forall @t85 (= (_ tptp.semiri1382578993at_nat @t180) (_ (_ tptp.power_power_nat @t148) @t43))))
% 0.43/0.89  (assume @p149 (forall @t85 (= (_ tptp.semiri2019852685at_int @t180) (_ (_ tptp.power_power_int @t143) @t43))))
% 0.43/0.89  (assume @p150 (forall @t85 (= (_ tptp.semiri2110766477t_real @t180) (_ (_ tptp.power_power_real @t144) @t43))))
% 0.43/0.89  (assume @p151 (forall @t187 (= (= @t186 @t167) @t185)))
% 0.43/0.89  (assume @p152 (forall @t187 (= (= @t189 @t169) @t185)))
% 0.43/0.89  (assume @p153 (forall @t187 (= (= @t190 @t170) @t185)))
% 0.43/0.89  (assume @p154 (forall @t192 (= (= @t167 @t186) @t191)))
% 0.43/0.89  (assume @p155 (forall @t192 (= (= @t169 @t189) @t191)))
% 0.43/0.89  (assume @p156 (forall @t192 (= (= @t170 @t190) @t191)))
% 0.43/0.89  (assume @p157 (forall @t187 (= (_ (_ tptp.ord_less_eq_nat @t186) @t167) @t193)))
% 0.43/0.89  (assume @p158 (forall @t187 (= (_ (_ tptp.ord_less_eq_int @t189) @t169) @t193)))
% 0.43/0.89  (assume @p159 (forall @t187 (= (_ (_ tptp.ord_less_eq_real @t190) @t170) @t193)))
% 0.43/0.89  (assume @p160 (forall @t192 (= (_ (_ tptp.ord_less_eq_nat @t167) @t186) @t194)))
% 0.43/0.89  (assume @p161 (forall @t192 (= (_ (_ tptp.ord_less_eq_int @t169) @t189) @t194)))
% 0.43/0.89  (assume @p162 (forall @t192 (= (_ (_ tptp.ord_less_eq_real @t170) @t190) @t194)))
% 0.43/0.89  (assume @p163 (forall @t199 (= @t198 (and @t196 @t74))))
% 0.43/0.89  (assume @p164 (forall @t202 (= @t201 (and @t80 @t74))))
% 0.43/0.89  (assume @p165 (forall @t206 (= @t205 (and @t203 @t74))))
% 0.43/0.89  (assume @p166 (forall @t192 (= (_ (_ tptp.ord_less_nat @t167) @t186) @t207)))
% 0.43/0.89  (assume @p167 (forall @t192 (= (_ (_ tptp.ord_less_int @t169) @t189) @t207)))
% 0.43/0.89  (assume @p168 (forall @t192 (= (_ (_ tptp.ord_less_real @t170) @t190) @t207)))
% 0.43/0.89  (assume @p169 (forall @t187 (= (_ (_ tptp.ord_less_nat @t186) @t167) @t208)))
% 0.43/0.89  (assume @p170 (forall @t187 (= (_ (_ tptp.ord_less_int @t189) @t169) @t208)))
% 0.43/0.89  (assume @p171 (forall @t187 (= (_ (_ tptp.ord_less_real @t190) @t170) @t208)))
% 0.43/0.89  (assume @p172 (forall @t214 (=> @t177 (=> @t213 (=> @t74 (= @t212 @t210))))))
% 0.43/0.89  (assume @p173 (forall @t223 (=> @t222 (=> @t221 (=> @t74 (= @t219 @t217))))))
% 0.43/0.89  (assume @p174 (forall @t232 (=> @t231 (=> @t230 (=> @t74 (= @t228 @t226))))))
% 0.43/0.89  (assume @p175 (forall @t163 (=> @t233 (not (forall @t103 (not @t161))))))
% 0.43/0.89  (assume @p176 (forall @t163 (=> @t233 (exists @t103 @t161))))
% 0.43/0.89  (assume @p177 (= tptp.zero_zero_int tptp.zero_zero_int))
% 0.43/0.89  (assume @p178 (forall @t238 (=> @t237 (_ (_ tptp.ord_less_eq_nat (_ tptp.semiri1382578993at_nat @t235)) (_ tptp.semiri1382578993at_nat @t234)))))
% 0.43/0.89  (assume @p179 (forall @t238 (=> @t237 (_ (_ tptp.ord_less_eq_int (_ tptp.semiri2019852685at_int @t235)) (_ tptp.semiri2019852685at_int @t234)))))
% 0.43/0.89  (assume @p180 (forall @t238 (=> @t237 (_ (_ tptp.ord_less_eq_real (_ tptp.semiri2110766477t_real @t235)) (_ tptp.semiri2110766477t_real @t234)))))
% 0.43/0.89  (assume @p181 (forall @t90 (exists @t103 (_ @t239 @t164))))
% 0.43/0.89  (assume @p182 (forall @t242 (=> @t241 (=> @t213 @t240))))
% 0.43/0.89  (assume @p183 (forall @t246 (=> @t245 (=> @t221 @t244))))
% 0.43/0.89  (assume @p184 (forall @t250 (=> @t249 (=> @t230 @t248))))
% 0.43/0.89  (assume @p185 (forall @t206 (= (_ (_ tptp.power_power_real @t251) @t43) (_ tptp.inverse_inverse_real @t204))))
% 0.43/0.89  (assume @p186 (forall @t232 (= (_ (_ tptp.power_power_real @t253) @t43) (_ (_ tptp.divide_divide_real @t204) @t227))))
% 0.43/0.89  (assume @p187 (forall @t199 (=> (not @t196) (not @t198))))
% 0.43/0.89  (assume @p188 (forall @t202 (=> @t81 (not @t201))))
% 0.43/0.89  (assume @p189 (forall @t206 (=> @t254 (not @t205))))
% 0.43/0.89  (assume @p190 (forall @t202 (=> @t177 (_ @t176 @t200))))
% 0.43/0.89  (assume @p191 (forall @t199 (=> @t222 (_ @t220 @t197))))
% 0.43/0.89  (assume @p192 (forall @t206 (=> @t231 (_ @t229 @t204))))
% 0.43/0.89  (assume @p193 (forall @t214 (=> @t210 (=> @t177 @t212))))
% 0.43/0.89  (assume @p194 (forall @t223 (=> @t217 (=> @t222 @t219))))
% 0.43/0.89  (assume @p195 (forall @t232 (=> @t226 (=> @t231 @t228))))
% 0.43/0.89  (assume @p196 (_ @t220 tptp.zero_zero_int))
% 0.43/0.89  (assume @p197 (forall @t242 (=> @t256 (=> @t177 (=> @t213 (=> @t74 @t255))))))
% 0.43/0.89  (assume @p198 (forall @t246 (=> @t258 (=> @t222 (=> @t221 (=> @t74 @t257))))))
% 0.43/0.89  (assume @p199 (forall @t250 (=> @t260 (=> @t231 (=> @t230 (=> @t74 @t259))))))
% 0.43/0.89  (assume @p200 (forall (@list @t43 @t78 @t182) (=> @t74 (=> @t177 (=> @t213 (= @t256 @t255))))))
% 0.43/0.89  (assume @p201 (forall (@list @t43 @t195 @t215) (=> @t74 (=> @t222 (=> @t221 (= @t258 @t257))))))
% 0.43/0.89  (assume @p202 (forall (@list @t43 @t113 @t224) (=> @t74 (=> @t231 (=> @t230 (= @t260 @t259))))))
% 0.43/0.89  (assume @p203 (forall (@list @t261) (= @t265 (exists @t264 (and (not (= @t262 tptp.zero_zero_nat)) (_ @t128 @t263) (_ (_ tptp.ord_less_real @t263) @t261))))))
% 0.43/0.89  (assume @p204 (forall (@list @t114 @t261) (=> (forall (@list @t266 @t125) (=> (_ (_ tptp.ord_less_real @t266) @t125) (=> (_ @t114 @t266) (_ @t114 @t125)))) (=> (forall @t103 (=> (not (= @t98 tptp.zero_zero_nat)) (_ @t114 @t174))) (=> @t265 (_ @t114 @t261))))))
% 0.43/0.89  (assume @p205 (forall @t87 (_ @t176 @t86)))
% 0.43/0.89  (assume @p206 (_ @t176 tptp.zero_zero_nat))
% 0.43/0.89  (assume @p207 (_ @t229 tptp.zero_zero_real))
% 0.43/0.89  (assume @p208 (= tptp.ord_less_nat (lambda @t269 (forall @t117 (=> (_ (_ tptp.ord_less_eq_nat @t268) @t116) @t267)))))
% 0.43/0.89  (assume @p209 (= tptp.ord_less_int (lambda @t275 (forall @t274 (=> (_ (_ tptp.ord_less_eq_int @t273) @t270) @t272)))))
% 0.43/0.89  (assume @p210 (= tptp.ord_less_real (lambda @t279 (forall @t120 (=> (_ (_ tptp.ord_less_eq_real @t278) @t119) @t277)))))
% 0.43/0.89  (assume @p211 (= tptp.ord_less_nat (lambda @t280 (forall @t117 (=> (_ (_ tptp.ord_less_eq_nat @t116) @t268) @t267)))))
% 0.43/0.89  (assume @p212 (= tptp.ord_less_int (lambda @t281 (forall @t274 (=> (_ (_ tptp.ord_less_eq_int @t270) @t273) @t272)))))
% 0.43/0.89  (assume @p213 (= tptp.ord_less_real (lambda @t282 (forall @t120 (=> (_ (_ tptp.ord_less_eq_real @t119) @t278) @t277)))))
% 0.43/0.89  (assume @p214 (= tptp.ord_less_eq_nat (lambda @t269 (forall @t117 (=> (_ (_ tptp.ord_less_nat @t268) @t116) @t267)))))
% 0.43/0.89  (assume @p215 (= tptp.ord_less_eq_int (lambda @t275 (forall @t274 (=> (_ (_ tptp.ord_less_int @t273) @t270) @t272)))))
% 0.43/0.89  (assume @p216 (= tptp.ord_less_eq_real (lambda @t279 (forall @t120 (=> (_ (_ tptp.ord_less_real @t278) @t119) @t277)))))
% 0.43/0.89  (assume @p217 (forall @t82 (=> @t283 @t80)))
% 0.43/0.89  (assume @p218 (forall @t82 (= @t283 @t80)))
% 0.43/0.89  (assume @p219 (forall (@list @t284 @t235 @t234) (=> (forall (@list @t286 @t285) (=> (_ (_ tptp.ord_less_nat @t286) @t285) (_ (_ tptp.ord_less_nat (_ @t284 @t286)) (_ @t284 @t285)))) (=> @t237 (_ (_ tptp.ord_less_eq_nat (_ @t284 @t235)) (_ @t284 @t234))))))
% 0.43/0.89  (assume @p220 (forall @t85 (=> @t179 (=> @t108 @t84))))
% 0.43/0.89  (assume @p221 (forall @t85 (=> (or @t84 @t107) @t179)))
% 0.43/0.89  (assume @p222 (= tptp.ord_less_eq_nat (lambda @t289 (or (_ (_ tptp.ord_less_nat @t287) @t262) @t288))))
% 0.43/0.89  (assume @p223 (forall @t85 (=> @t84 @t179)))
% 0.43/0.89  (assume @p224 (= tptp.ord_less_nat (lambda @t289 (and (_ (_ tptp.ord_less_eq_nat @t287) @t262) (not @t288)))))
% 0.43/0.89  (assume @p225 (forall @t202 (=> @t79 (_ @t61 @t200))))
% 0.43/0.89  (assume @p226 (forall @t199 (=> @t290 (_ @t129 @t197))))
% 0.43/0.89  (assume @p227 (forall @t206 (=> @t291 (_ @t128 @t204))))
% 0.43/0.89  (assume @p228 (forall (@list @t235 @t83 @t43) (=> (_ @t61 @t235) (=> (_ (_ tptp.ord_less_nat (_ @t292 @t83)) (_ @t292 @t43)) @t84))))
% 0.43/0.89  (assume @p229 (forall @t214 (=> @t240 (=> @t177 (=> @t74 @t241)))))
% 0.43/0.89  (assume @p230 (forall @t223 (=> @t244 (=> @t222 (=> @t74 @t245)))))
% 0.43/0.89  (assume @p231 (forall @t232 (=> @t248 (=> @t231 (=> @t74 @t249)))))
% 0.43/0.89  (assume @p232 (forall @t44 (=> @t74 (= (_ (_ tptp.power_power_int tptp.zero_zero_int) @t43) tptp.zero_zero_int))))
% 0.43/0.89  (assume @p233 (forall @t44 (=> @t74 (= (_ (_ tptp.power_power_nat tptp.zero_zero_nat) @t43) tptp.zero_zero_nat))))
% 0.43/0.89  (assume @p234 (forall @t44 (=> @t74 (= (_ (_ tptp.power_power_real tptp.zero_zero_real) @t43) tptp.zero_zero_real))))
% 0.43/0.89  (assume @p235 (forall @t44 (_ @t176 @t132)))
% 0.43/0.89  (assume @p236 (forall @t44 (_ @t220 @t133)))
% 0.43/0.89  (assume @p237 (forall @t44 (_ @t229 @t134)))
% 0.43/0.89  (assume @p238 (forall @t104 (=> @t95 (=> (not @t123) (exists (@list @t293) (and (_ (_ tptp.ord_less_eq_nat @t293) @t43) (forall (@list @t294) (=> (_ (_ tptp.ord_less_nat @t294) @t293) (not (_ @t94 @t294)))) (_ @t94 @t293)))))))
% 0.43/0.89  (assume @p239 (forall (@list @t4 @t295) (_ (_ tptp.ord_less_eq_nat (_ (_ tptp.count_list_a @t4) @t295)) @t17)))
% 0.43/0.89  (assume @p240 @t299)
% 0.43/0.89  (assume @p241 (forall @t305 (=> @t291 (=> @t304 @t303))))
% 0.43/0.89  (assume @p242 (forall @t305 (=> @t308 (=> @t307 @t303))))
% 0.43/0.89  (assume @p243 (forall @t85 (=> @t84 @t311)))
% 0.43/0.89  (assume @p244 (forall @t312 (= (_ @t128 @t251) @t291)))
% 0.43/0.89  (assume @p245 (forall @t312 (= (_ @t313 tptp.zero_zero_real) @t308)))
% 0.43/0.89  (assume @p246 (forall @t305 (=> @t308 (=> @t307 @t316))))
% 0.43/0.89  (assume @p247 (forall @t305 (= @t317 @t259)))
% 0.43/0.89  (assume @p248 (forall @t312 @t318))
% 0.43/0.89  (assume @p249 (forall @t312 (= (_ @t252 tptp.zero_zero_real) tptp.zero_zero_real)))
% 0.43/0.89  (assume @p250 (forall @t325 (= (= @t324 @t323) @t321)))
% 0.43/0.89  (assume @p251 (forall (@list @t319 @t113 @t224) (= (= (_ @t326 @t113) (_ @t326 @t224)) @t321)))
% 0.43/0.89  (assume @p252 (forall @t305 (= (= @t253 tptp.zero_zero_real) (or @t203 @t327))))
% 0.43/0.89  (assume @p253 (forall @t312 (= @t328 @t203)))
% 0.43/0.89  (assume @p254 (= (_ tptp.inverse_inverse_real tptp.zero_zero_real) tptp.zero_zero_real))
% 0.43/0.89  (assume @p255 (forall @t305 (= (_ tptp.inverse_inverse_real @t253) (_ @t322 @t113))))
% 0.43/0.89  (assume @p256 (forall @t312 (= (_ @t229 @t251) @t231)))
% 0.43/0.89  (assume @p257 (forall @t312 (= (_ @t302 tptp.zero_zero_real) @t329)))
% 0.43/0.89  (assume @p258 (forall @t305 (=> @t291 (=> @t304 @t316))))
% 0.43/0.89  (assume @p259 (forall @t335 (=> (_ @t334 tptp.zero_zero_int) (=> (_ @t333 @t160) @t332))))
% 0.43/0.89  (assume @p260 (forall @t335 (=> @t233 (=> (_ @t336 @t330) @t332))))
% 0.43/0.89  (assume @p261 (= tptp.ord_less_eq_real (lambda (@list @t119 @t337) (or (_ @t338 @t337) (= @t119 @t337)))))
% 0.43/0.89  (assume @p262 (forall @t44 (_ @t178 @t43)))
% 0.43/0.89  (assume @p263 (forall (@list @t235 @t234 @t13) (=> @t237 (=> (_ (_ tptp.ord_less_eq_nat @t234) @t13) (_ @t236 @t13)))))
% 0.43/0.89  (assume @p264 (forall @t85 (=> @t107 @t179)))
% 0.43/0.89  (assume @p265 (forall @t85 (=> @t179 (=> @t339 @t107))))
% 0.43/0.89  (assume @p266 (forall @t85 (or @t179 @t339)))
% 0.43/0.89  (assume @p267 (forall (@list @t94 @t13 @t182) (=> @t158 (=> (forall (@list @t340) (=> (_ @t94 @t340) (_ (_ tptp.ord_less_eq_nat @t340) @t182))) (exists @t142 (and @t136 (forall @t141 (=> @t138 (_ (_ tptp.ord_less_eq_nat @t137) @t135)))))))))
% 0.43/0.89  (assume @p268 (forall (@list @t43 @t86) (_ (_ tptp.ord_less_eq_real (_ tptp.semiri2110766477t_real (_ @t341 @t86))) (_ (_ tptp.divide_divide_real @t134) @t170))))
% 0.43/0.89  (assume @p269 (forall @t345 (exists @t344 (_ (_ tptp.ord_less_real @t343) @t342))))
% 0.43/0.89  (assume @p270 (forall @t345 (exists (@list @t346) (_ (_ tptp.ord_less_real @t342) @t346))))
% 0.43/0.89  (assume @p271 (forall @t305 (=> @t317 @t259)))
% 0.43/0.89  (assume @p272 (forall @t347 (=> @t179 (_ (_ tptp.ord_less_eq_nat (_ @t309 @t13)) (_ @t341 @t13)))))
% 0.43/0.89  (assume @p273 @t348)
% 0.43/0.89  (assume @p274 (forall @t312 (=> @t254 (not @t328))))
% 0.43/0.89  (assume @p275 (forall @t312 (=> @t254 @t318)))
% 0.43/0.89  (assume @p276 (forall @t305 (=> @t317 (=> @t254 (=> (not @t327) @t259)))))
% 0.43/0.89  (assume @p277 (forall @t312 (=> @t328 @t203)))
% 0.43/0.89  (assume @p278 (forall @t305 (= (_ (_ tptp.ord_less_eq_real @t253) tptp.zero_zero_real) (or (and @t231 @t349) (and @t329 @t230)))))
% 0.43/0.89  (assume @p279 (forall @t350 (=> @t226 (=> (_ @t229 @t319) (_ (_ tptp.ord_less_eq_real @t324) @t323)))))
% 0.43/0.89  (assume @p280 (forall @t305 (= (_ @t229 @t253) (or (and @t231 @t230) (and @t329 @t349)))))
% 0.43/0.89  (assume @p281 (forall @t356 (=> @t355 (=> @t354 @t353))))
% 0.43/0.89  (assume @p282 (forall @t356 (=> @t355 (=> @t358 @t357))))
% 0.43/0.89  (assume @p283 (forall @t356 (=> @t359 (=> @t354 @t357))))
% 0.43/0.89  (assume @p284 (forall @t356 (=> @t359 (=> @t358 @t353))))
% 0.43/0.89  (assume @p285 (forall @t350 (=> @t226 (=> (_ (_ tptp.ord_less_eq_real @t319) tptp.zero_zero_real) (_ (_ tptp.ord_less_eq_real @t323) @t324)))))
% 0.43/0.89  (assume @p286 (forall @t356 (=> @t362 (=> @t361 @t360))))
% 0.43/0.89  (assume @p287 (forall @t356 (=> @t362 (=> @t364 @t363))))
% 0.43/0.89  (assume @p288 (forall @t356 (=> @t175 (=> @t361 @t363))))
% 0.43/0.89  (assume @p289 (forall @t356 (=> @t175 (=> @t364 @t360))))
% 0.43/0.89  (assume @p290 (forall @t305 (= (_ (_ tptp.ord_less_real @t253) tptp.zero_zero_real) (or (and @t291 @t307) (and @t308 @t304)))))
% 0.43/0.89  (assume @p291 (forall @t325 (= @t367 (and (=> @t366 @t248) (=> @t365 @t314) (not @t320)))))
% 0.43/0.89  (assume @p292 (forall @t305 (= (_ @t128 @t253) (or (and @t291 @t304) (and @t308 @t307)))))
% 0.43/0.89  (assume @p293 (forall @t350 (=> @t248 (=> @t366 @t367))))
% 0.43/0.89  (assume @p294 (forall (@list @t224 @t113 @t319) (=> @t314 (=> @t365 @t367))))
% 0.43/0.89  (assume @p295 (forall @t305 (=> @t315 (=> @t291 @t314))))
% 0.43/0.89  (assume @p296 (forall @t305 (=> @t248 (=> @t291 (_ (_ tptp.ord_less_real @t301) @t251)))))
% 0.43/0.89  (assume @p297 (forall @t85 (= @t311 (or @t84 @t75))))
% 0.43/0.89  (assume @p298 (forall @t85 (= (_ @t61 @t310) (and @t339 @t74))))
% 0.43/0.89  (assume @p299 (forall @t347 (=> (_ @t61 @t83) (=> @t179 (_ (_ tptp.ord_less_eq_nat (_ @t368 @t43)) (_ @t368 @t83))))))
% 0.43/0.89  (assume @p300 (forall (@list @t371) (=> (exists @t345 @t375) (=> (exists @t374 @t373) (exists @t344 (and (forall @t345 (=> @t375 (_ (_ tptp.ord_less_eq_real @t342) @t343))) (forall @t374 (=> @t373 (_ (_ tptp.ord_less_eq_real @t343) @t369)))))))))
% 0.43/0.89  (assume @p301 (forall @t379 (=> @t222 (= (_ @t129 @t378) (and (_ (_ tptp.ord_less_eq_int @t215) @t195) @t376)))))
% 0.43/0.89  (assume @p302 (forall @t381 (=> @t376 (= @t380 @t222))))
% 0.43/0.89  (assume @p303 (forall @t379 (=> @t383 (=> @t376 @t382))))
% 0.43/0.89  (assume @p304 (forall @t381 (=> @t384 (= @t382 @t290))))
% 0.43/0.89  (assume @p305 (forall @t381 (=> @t376 (= @t382 @t383))))
% 0.43/0.89  (assume @p306 (forall (@list @t78 @t182) (= (_ tptp.semiri2019852685at_int (_ (_ tptp.divide_divide_nat @t78) @t182)) (_ (_ tptp.divide_divide_int @t385) @t188))))
% 0.43/0.89  (assume @p307 (forall @t390 (=> @t389 (=> @t376 (_ @t388 @t387)))))
% 0.43/0.89  (assume @p308 (forall @t395 (=> @t222 (=> @t394 (=> @t393 (_ @t388 @t392))))))
% 0.43/0.89  (assume @p309 (forall (@list @t396 @t160) (= (= @t398 tptp.zero_zero_int) (or @t397 (and (_ @t220 @t396) (_ (_ tptp.ord_less_int @t396) @t160)) (and (_ (_ tptp.ord_less_eq_int @t396) tptp.zero_zero_int) (_ @t336 @t396))))))
% 0.43/0.89  (assume @p310 (forall @t390 (=> @t389 (=> @t384 (_ (_ tptp.ord_less_eq_int @t387) @t378)))))
% 0.43/0.89  (assume @p311 (forall @t395 (=> @t383 (=> @t394 (=> @t393 (_ (_ tptp.ord_less_eq_int @t392) @t378))))))
% 0.43/0.89  (assume @p312 (forall @t335 (= (_ @t220 @t331) (or @t397 (= @t330 tptp.zero_zero_int) (and @t233 (_ @t220 @t330)) (and (_ @t336 tptp.zero_zero_int) (_ @t333 tptp.zero_zero_int))))))
% 0.43/0.89  (assume @p313 (forall (@list @t330 @t160) (=> (_ (_ tptp.ord_less_eq_int @t330) @t160) (=> (_ @t129 @t330) (_ @t129 @t331)))))
% 0.43/0.89  (assume @p314 (forall @t379 (=> @t222 (=> @t384 @t399))))
% 0.43/0.89  (assume @p315 (forall @t379 (=> @t400 (=> @t376 @t399))))
% 0.43/0.89  (assume @p316 (forall (@list @t160 @t396) (=> @t162 (= (_ @t129 @t398) (_ @t334 @t396)))))
% 0.43/0.89  (assume @p317 (forall @t381 (=> @t384 (= @t380 @t400))))
% 0.43/0.89  (assume @p318 (forall @t402 (=> @t74 (=> @t291 (exists @t372 (and (_ @t128 @t370) (= (_ (_ tptp.power_power_real @t370) @t43) @t113) (forall (@list @t401) (=> (and (_ @t128 @t401) (= (_ (_ tptp.power_power_real @t401) @t43) @t113)) (= @t401 @t370)))))))))
% 0.43/0.89  (assume @p319 (forall @t402 (=> @t74 (=> @t291 (exists (@list @t403) (and (_ @t128 @t403) (= (_ (_ tptp.power_power_real @t403) @t43) @t113)))))))
% 0.43/0.89  (assume @p320 (= tptp.ord_less_eq_nat (lambda @t407 (_ (_ tptp.ord_less_eq_int @t406) @t405))))
% 0.43/0.89  (assume @p321 (forall (@list @t195 @t88) (or (_ @t216 @t88) (= @t195 @t88) (_ (_ tptp.ord_less_eq_int @t88) @t195))))
% 0.43/0.89  (assume @p322 (forall (@list @t408 @t78 @t182) (and (=> @t408 (= @t409 @t385)) (=> (not @t408) (= @t409 @t188)))))
% 0.43/0.89  (assume @p323 (= (lambda (@list @t411 @t410) (= @t411 @t410)) (lambda @t407 (= @t406 @t405))))
% 0.43/0.89  (assume @p324 (forall (@list @t86 @t43 @t83) (=> (_ @t92 @t412) @t179)))
% 0.43/0.89  (assume @p325 (forall @t110 (= (= @t412 tptp.zero_zero_nat) (or @t147 @t109))))
% 0.43/0.89  (assume @p326 (forall (@list @t408) (or (= @t408 true) (= @t408 false))))
% 0.43/0.89  (assume @p327 (forall @t93 (= (_ (_ (_ tptp.if_nat false) @t86) @t91) @t91)))
% 0.43/0.89  (assume @p328 (forall @t93 (= (_ (_ (_ tptp.if_nat true) @t86) @t91) @t86)))
% 0.43/0.89  (assume @p329 @t414)
% 0.43/0.89  (assume @p330 true)
% 0.43/0.89  (step @p331 (= tptp.listSl97544552lice_a @t417) :rule refl :args (@t417))
% 0.43/0.89  (step @p332 (= tptp.ord_less_eq_nat @t421) :rule refl :args (@t421))
% 0.43/0.89  (step @p333 (= tptp.ord_less_eq_int @t422) :rule refl :args (@t422))
% 0.43/0.89  (step @p334 (= tptp.ord_less_eq_real @t423) :rule refl :args (@t423))
% 0.43/0.89  (step @p335 (= tptp.ord_less_nat @t424) :rule refl :args (@t424))
% 0.43/0.89  (step @p336 :rule refl :args (@t426))
% 0.43/0.89  (step @p337 :rule refl :args ((tptp.size_s1427607542list_a @t427)))
% 0.43/0.89  (step @p338 :rule refl :args ((tptp.concat_list_a @t7)))
% 0.43/0.89  (step @p339 :rule refl :args (@t428))
% 0.43/0.89  (step @p340 :rule cong :premises (@p339) :args (@t429))
% 0.43/0.89  (step @p341 :rule trans :premises (@p340 @p338))
% 0.43/0.89  (step @p342 :rule cong :premises (@p341) :args (@t430))
% 0.43/0.89  (step @p343 :rule trans :premises (@p342 @p337))
% 0.43/0.89  (step @p344 :rule refl :args (tptp.size_s1427607542list_a))
% 0.43/0.89  (step @p345 :rule ho_cong :premises (@p344 @p341))
% 0.43/0.89  (step @p346 :rule cong :premises (@p345 @p343) :args ((= (_ tptp.size_s1427607542list_a @t429) @t430)))
% 0.43/0.89  (step @p347 :rule symm :premises (@p346))
% 0.43/0.89  (step @p348 :rule refl :args (@t431))
% 0.43/0.89  (step @p349 :rule eq_resolve :premises (@p348 @p347))
% 0.43/0.89  (step @p350 :rule refl :args (tptp.concat_list_a))
% 0.43/0.89  (step @p351 :rule ho_cong :premises (@p350 @p339))
% 0.43/0.89  (step @p352 :rule cong :premises (@p351 @p341) :args ((= (_ tptp.concat_list_a @t428) @t429)))
% 0.43/0.89  (step @p353 :rule symm :premises (@p352))
% 0.43/0.89  (step @p354 :rule refl :args (@t427))
% 0.43/0.89  (step @p355 :rule eq_resolve :premises (@p354 @p353))
% 0.43/0.89  (step @p356 :rule refl :args (@t7))
% 0.43/0.89  (step @p357 :rule cong :premises (@p356 @p339) :args ((= @t7 @t428)))
% 0.43/0.89  (step @p358 :rule symm :premises (@p357))
% 0.43/0.89  (step @p359 :rule eq_resolve :premises (@p356 @p358))
% 0.43/0.89  (step @p360 :rule ho_cong :premises (@p350 @p359))
% 0.43/0.89  (step @p361 :rule trans :premises (@p360 @p355))
% 0.43/0.89  (step @p362 :rule ho_cong :premises (@p344 @p361))
% 0.43/0.89  (step @p363 :rule trans :premises (@p362 @p349))
% 0.43/0.89  (step @p364 :rule cong :premises (@p363) :args (@t432))
% 0.43/0.89  (step @p365 :rule cong :premises (@p364 @p336) :args (@t433))
% 0.43/0.89  (step @p366 :rule refl :args (@t1))
% 0.43/0.89  (step @p367 :rule cong :premises (@p366 @p361) :args (@t434))
% 0.43/0.89  (step @p368 :rule cong :premises (@p367) :args (@t435))
% 0.43/0.89  (step @p369 :rule cong :premises (@p368 @p365) :args (@t436))
% 0.43/0.89  (step @p370 :rule cong :premises (@p369) :args ((forall @t3 @t436)))
% 0.43/0.89  (step @p371 :rule refl :args (@t433))
% 0.43/0.89  (step @p372 :rule eq-symm :args (@t427 @t1))
% 0.43/0.89  (step @p373 :rule cong :premises (@p372) :args (@t437))
% 0.43/0.89  (step @p374 :rule cong :premises (@p373 @p371) :args (@t438))
% 0.43/0.89  (step @p375 :rule cong :premises (@p374) :args ((forall @t3 @t438)))
% 0.43/0.89  (step @p376 :rule trans :premises (@p375 @p370))
% 0.43/0.89  (step @p377 :rule refl :args (@t426))
% 0.43/0.89  (step @p378 :rule symm :premises (@p3))
% 0.43/0.89  (step @p379 :rule refl :args (tptp.concat_list_a))
% 0.43/0.89  (step @p380 :rule ho_cong :premises (@p379 @p378))
% 0.43/0.89  (step @p381 :rule refl :args (tptp.nil_list_a))
% 0.43/0.89  (step @p382 :rule cong :premises (@p381 @p380) :args ((= tptp.nil_list_a @t8)))
% 0.43/0.89  (step @p383 :rule symm :premises (@p4))
% 0.43/0.89  (step @p384 :rule eq_resolve :premises (@p383 @p382))
% 0.43/0.89  (step @p385 :rule refl :args (tptp.size_s1427607542list_a))
% 0.43/0.89  (step @p386 :rule ho_cong :premises (@p385 @p384))
% 0.43/0.89  (step @p387 :rule refl :args (tptp.zero_zero_nat))
% 0.43/0.89  (step @p388 :rule cong :premises (@p387 @p386) :args ((= tptp.zero_zero_nat @t66)))
% 0.43/0.89  (step @p389 :rule symm :premises (@p56))
% 0.43/0.89  (step @p390 :rule eq_resolve :premises (@p389 @p388))
% 0.43/0.89  (step @p391 :rule cong :premises (@p390) :args (@t439))
% 0.43/0.89  (step @p392 :rule cong :premises (@p391 @p377) :args (@t440))
% 0.43/0.89  (step @p393 :rule refl :args (@t1))
% 0.43/0.89  (step @p394 :rule cong :premises (@p384 @p393) :args (@t441))
% 0.43/0.89  (step @p395 :rule cong :premises (@p394) :args (@t442))
% 0.43/0.89  (step @p396 :rule cong :premises (@p395 @p392) :args (@t443))
% 0.43/0.89  (step @p397 :rule cong :premises (@p396) :args ((forall @t3 @t443)))
% 0.43/0.89  (step @p398 :rule trans :premises (@p397 @p376))
% 0.43/0.89  (step @p399 :rule refl :args ((tptp.ord_less_int @t145 @t444)))
% 0.43/0.89  (step @p400 :rule refl :args ((tptp.semiri2019852685at_int @t14)))
% 0.43/0.89  (step @p401 :rule refl :args (@t425))
% 0.43/0.89  (step @p402 :rule cong :premises (@p401) :args (@t426))
% 0.43/0.89  (step @p403 :rule trans :premises (@p402 @p400))
% 0.43/0.89  (step @p404 :rule refl :args (@t439))
% 0.43/0.89  (step @p405 :rule cong :premises (@p404 @p403) :args (@t440))
% 0.43/0.89  (step @p406 :rule trans :premises (@p405 @p399))
% 0.43/0.89  (step @p407 :rule refl :args (tptp.ord_less_int))
% 0.43/0.89  (step @p408 :rule ho_cong :premises (@p407 @p404))
% 0.43/0.89  (step @p409 :rule ho_cong :premises (@p408 @p403))
% 0.43/0.89  (step @p410 :rule cong :premises (@p409 @p406) :args ((= (_ (_ tptp.ord_less_int @t439) @t426) @t440)))
% 0.43/0.89  (step @p411 :rule symm :premises (@p410))
% 0.43/0.89  (step @p412 :rule refl :args (@t446))
% 0.43/0.89  (step @p413 :rule eq_resolve :premises (@p412 @p411))
% 0.43/0.89  (step @p414 :rule refl :args (tptp.semiri2019852685at_int))
% 0.43/0.89  (step @p415 :rule ho_cong :premises (@p414 @p401))
% 0.43/0.89  (step @p416 :rule cong :premises (@p415 @p403) :args ((= (_ tptp.semiri2019852685at_int @t425) @t426)))
% 0.43/0.89  (step @p417 :rule symm :premises (@p416))
% 0.43/0.89  (step @p418 :rule refl :args (@t444))
% 0.43/0.89  (step @p419 :rule eq_resolve :premises (@p418 @p417))
% 0.43/0.89  (step @p420 :rule refl :args (@t14))
% 0.43/0.89  (step @p421 :rule cong :premises (@p420 @p401) :args ((= @t14 @t425)))
% 0.43/0.89  (step @p422 :rule symm :premises (@p421))
% 0.43/0.89  (step @p423 :rule eq_resolve :premises (@p420 @p422))
% 0.43/0.89  (step @p424 :rule ho_cong :premises (@p414 @p423))
% 0.43/0.89  (step @p425 :rule trans :premises (@p424 @p419))
% 0.43/0.89  (step @p426 :rule refl :args (@t145))
% 0.43/0.89  (step @p427 :rule cong :premises (@p426 @p404) :args ((= @t145 @t439)))
% 0.43/0.89  (step @p428 :rule symm :premises (@p427))
% 0.43/0.89  (step @p429 :rule eq_resolve :premises (@p426 @p428))
% 0.43/0.89  (step @p430 :rule ho_cong :premises (@p407 @p429))
% 0.43/0.89  (step @p431 :rule ho_cong :premises (@p430 @p425))
% 0.43/0.89  (step @p432 :rule trans :premises (@p431 @p413))
% 0.43/0.89  (step @p433 :rule refl :args (@t442))
% 0.43/0.89  (step @p434 :rule cong :premises (@p433 @p432) :args (@t447))
% 0.43/0.89  (step @p435 :rule cong :premises (@p434) :args ((forall @t3 @t447)))
% 0.43/0.89  (step @p436 :rule beta-reduce :args ((= (_ @t448 @t14) @t446)))
% 0.43/0.89  (step @p437 :rule refl :args (@t14))
% 0.43/0.89  (step @p438 :rule beta-reduce :args ((= @t449 @t448)))
% 0.43/0.89  (step @p439 :rule ho_cong :premises (@p438 @p437))
% 0.43/0.89  (step @p440 :rule trans :premises (@p439 @p436))
% 0.43/0.89  (step @p441 :rule eq-symm :args (@t1 tptp.nil_list_a))
% 0.43/0.89  (step @p442 :rule cong :premises (@p441) :args (@t60))
% 0.43/0.89  (step @p443 :rule cong :premises (@p442 @p440) :args ((= @t60 @t450)))
% 0.43/0.89  (step @p444 :rule eq-symm :args (@t450 @t60))
% 0.43/0.89  (step @p445 :rule trans :premises (@p444 @p443))
% 0.43/0.89  (step @p446 :rule cong :premises (@p445) :args ((forall @t3 (= @t450 @t60))))
% 0.43/0.89  (step @p447 :rule trans :premises (@p446 @p435))
% 0.43/0.89  (step @p448 :rule refl :args (@t60))
% 0.43/0.89  (step @p449 :rule ho_cong :premises (@p335 @p387))
% 0.43/0.89  (step @p450 :rule ho_cong :premises (@p449 @p437))
% 0.43/0.89  (step @p451 :rule cong :premises (@p450 @p448) :args (@t62))
% 0.43/0.89  (step @p452 :rule cong :premises (@p451) :args (@t63))
% 0.43/0.89  (step @p453 :rule trans :premises (@p452 @p447))
% 0.43/0.89  (step @p454 :rule trans :premises (@p453 @p398))
% 0.43/0.89  (step @p455 :rule eq_resolve :premises (@p53 @p454))
% 0.43/0.89  (step @p456 :rule refl :args ((tptp.ord_less_int @t143 @t451)))
% 0.43/0.89  (step @p457 :rule refl :args ((tptp.semiri2019852685at_int @t310)))
% 0.43/0.89  (step @p458 :rule refl :args (@t452))
% 0.43/0.89  (step @p459 :rule cong :premises (@p458) :args (@t453))
% 0.43/0.89  (step @p460 :rule trans :premises (@p459 @p457))
% 0.43/0.89  (step @p461 :rule refl :args (@t454))
% 0.43/0.89  (step @p462 :rule cong :premises (@p461 @p460) :args (@t455))
% 0.43/0.89  (step @p463 :rule trans :premises (@p462 @p456))
% 0.43/0.89  (step @p464 :rule ho_cong :premises (@p407 @p461))
% 0.43/0.89  (step @p465 :rule ho_cong :premises (@p464 @p460))
% 0.43/0.89  (step @p466 :rule cong :premises (@p465 @p463) :args ((= (_ (_ tptp.ord_less_int @t454) @t453) @t455)))
% 0.43/0.89  (step @p467 :rule symm :premises (@p466))
% 0.43/0.89  (step @p468 :rule refl :args (@t456))
% 0.43/0.89  (step @p469 :rule eq_resolve :premises (@p468 @p467))
% 0.43/0.89  (step @p470 :rule ho_cong :premises (@p414 @p458))
% 0.43/0.89  (step @p471 :rule cong :premises (@p470 @p460) :args ((= (_ tptp.semiri2019852685at_int @t452) @t453)))
% 0.43/0.89  (step @p472 :rule symm :premises (@p471))
% 0.43/0.89  (step @p473 :rule refl :args (@t451))
% 0.43/0.89  (step @p474 :rule eq_resolve :premises (@p473 @p472))
% 0.43/0.89  (step @p475 :rule refl :args (@t310))
% 0.43/0.89  (step @p476 :rule cong :premises (@p475 @p458) :args ((= @t310 @t452)))
% 0.43/0.89  (step @p477 :rule symm :premises (@p476))
% 0.43/0.89  (step @p478 :rule eq_resolve :premises (@p475 @p477))
% 0.43/0.89  (step @p479 :rule ho_cong :premises (@p414 @p478))
% 0.43/0.89  (step @p480 :rule trans :premises (@p479 @p474))
% 0.43/0.89  (step @p481 :rule refl :args (@t143))
% 0.43/0.89  (step @p482 :rule cong :premises (@p481 @p461) :args ((= @t143 @t454)))
% 0.43/0.89  (step @p483 :rule symm :premises (@p482))
% 0.43/0.89  (step @p484 :rule eq_resolve :premises (@p481 @p483))
% 0.43/0.89  (step @p485 :rule ho_cong :premises (@p407 @p484))
% 0.43/0.89  (step @p486 :rule ho_cong :premises (@p485 @p480))
% 0.43/0.89  (step @p487 :rule trans :premises (@p486 @p469))
% 0.43/0.89  (step @p488 :rule cong :premises (@p487) :args (@t457))
% 0.43/0.89  (step @p489 :rule cong :premises (@p488) :args ((forall @t85 @t457)))
% 0.43/0.89  (step @p490 :rule beta-reduce :args ((= (_ @t459 @t83) @t457)))
% 0.43/0.89  (step @p491 :rule refl :args (@t83))
% 0.43/0.89  (step @p492 :rule beta-reduce :args ((= (_ (lambda @t280 (not @t460)) @t310) @t459)))
% 0.43/0.89  (step @p493 :rule refl :args (@t310))
% 0.43/0.89  (step @p494 :rule beta-reduce :args ((= @t461 @t460)))
% 0.43/0.89  (step @p495 :rule cong :premises (@p494) :args (@t462))
% 0.43/0.89  (step @p496 :rule cong :premises (@p495) :args (@t463))
% 0.43/0.89  (step @p497 :rule ho_cong :premises (@p496 @p493))
% 0.43/0.89  (step @p498 :rule trans :premises (@p497 @p492))
% 0.43/0.89  (step @p499 :rule ho_cong :premises (@p498 @p491))
% 0.43/0.89  (step @p500 :rule trans :premises (@p499 @p490))
% 0.43/0.89  (step @p501 :rule cong :premises (@p500) :args ((forall @t85 (_ (_ @t463 @t310) @t83))))
% 0.43/0.89  (step @p502 :rule trans :premises (@p501 @p489))
% 0.43/0.89  (step @p503 :rule refl :args (@t268))
% 0.43/0.89  (step @p504 :rule refl :args (@t262))
% 0.43/0.89  (step @p505 :rule ho_cong :premises (@p335 @p504 @p503))
% 0.43/0.89  (step @p506 :rule cong :premises (@p505) :args (@t464))
% 0.43/0.89  (step @p507 :rule cong :premises (@p506) :args ((lambda @t280 @t464)))
% 0.43/0.89  (step @p508 :rule aci_norm :args ((= (or @t464 false) @t464)))
% 0.43/0.89  (step @p509 :rule evaluate :args ((not true)))
% 0.43/0.89  (step @p510 :rule eq-refl :args (@t262))
% 0.43/0.89  (step @p511 :rule cong :premises (@p510) :args (@t465))
% 0.43/0.89  (step @p512 :rule trans :premises (@p511 @p509))
% 0.43/0.89  (step @p513 :rule refl :args (@t464))
% 0.43/0.89  (step @p514 :rule nary_cong :premises (@p513 @p512) :args (@t466))
% 0.43/0.89  (step @p515 :rule trans :premises (@p514 @p508))
% 0.43/0.89  (step @p516 :rule quant-var-elim-eq :args ((= (forall @t117 @t470) @t466)))
% 0.43/0.89  (step @p517 :rule aci_norm :args ((= @t471 @t470)))
% 0.43/0.89  (step @p518 :rule cong :premises (@p517) :args ((forall @t117 @t471)))
% 0.43/0.89  (step @p519 :rule trans :premises (@p518 @p516))
% 0.43/0.89  (step @p520 :rule trans :premises (@p519 @p515))
% 0.43/0.89  (step @p521 :rule refl :args (@t467))
% 0.43/0.89  (step @p522 :rule refl :args (@t468))
% 0.43/0.89  (step @p523 :rule refl :args (@t418))
% 0.43/0.89  (step @p524 :rule cong :premises (@p523 @p522) :args ((= @t418 @t468)))
% 0.43/0.89  (step @p525 :rule symm :premises (@p524))
% 0.43/0.89  (step @p526 :rule eq_resolve :premises (@p523 @p525))
% 0.43/0.89  (step @p527 :rule cong :premises (@p526) :args (@t472))
% 0.43/0.89  (step @p528 :rule nary_cong :premises (@p527 @p521) :args (@t473))
% 0.43/0.89  (step @p529 :rule cong :premises (@p528) :args ((forall @t117 @t473)))
% 0.43/0.89  (step @p530 :rule trans :premises (@p529 @p520))
% 0.43/0.89  (step @p531 :rule bool-impl-elim :args (@t418 @t467))
% 0.43/0.89  (step @p532 :rule cong :premises (@p531) :args ((forall @t117 (=> @t418 @t467))))
% 0.43/0.89  (step @p533 :rule trans :premises (@p532 @p530))
% 0.43/0.89  (step @p534 :rule eq-symm :args (@t262 @t116))
% 0.43/0.89  (step @p535 :rule cong :premises (@p534) :args (@t267))
% 0.43/0.89  (step @p536 :rule refl :args (@t418))
% 0.43/0.89  (step @p537 :rule cong :premises (@p536 @p535) :args (@t419))
% 0.43/0.89  (step @p538 :rule cong :premises (@p537) :args (@t420))
% 0.43/0.89  (step @p539 :rule trans :premises (@p538 @p533))
% 0.43/0.89  (step @p540 :rule cong :premises (@p539) :args (@t421))
% 0.43/0.89  (step @p541 :rule trans :premises (@p332 @p540))
% 0.43/0.89  (step @p542 :rule trans :premises (@p541 @p507))
% 0.43/0.89  (step @p543 :rule ho_cong :premises (@p542 @p493))
% 0.43/0.89  (step @p544 :rule ho_cong :premises (@p543 @p491))
% 0.43/0.89  (step @p545 :rule cong :premises (@p544) :args (@t348))
% 0.43/0.89  (step @p546 :rule trans :premises (@p545 @p502))
% 0.43/0.89  (step @p547 :rule eq_resolve :premises (@p273 @p546))
% 0.43/0.89  (step @p548 :rule instantiate :premises (@p547) :args ((@list @t475 tptp.k)))
% 0.43/0.89  (step @p549 :rule false_intro :premises (@p548))
% 0.43/0.89  (step @p550 :rule refl :args (@t13))
% 0.43/0.89  (step @p551 :rule refl :args ((tptp.gen_length_a @t431 @t4)))
% 0.43/0.89  (step @p552 :rule refl :args (@t4))
% 0.43/0.89  (step @p553 :rule cong :premises (@p343 @p552) :args (@t476))
% 0.43/0.89  (step @p554 :rule trans :premises (@p553 @p551))
% 0.43/0.89  (step @p555 :rule refl :args (tptp.gen_length_a))
% 0.43/0.89  (step @p556 :rule ho_cong :premises (@p555 @p343))
% 0.43/0.89  (step @p557 :rule ho_cong :premises (@p556 @p552))
% 0.43/0.89  (step @p558 :rule cong :premises (@p557 @p554) :args ((= (_ @t477 @t4) @t476)))
% 0.43/0.89  (step @p559 :rule symm :premises (@p558))
% 0.43/0.89  (step @p560 :rule refl :args (@t479))
% 0.43/0.89  (step @p561 :rule eq_resolve :premises (@p560 @p559))
% 0.43/0.89  (step @p562 :rule ho_cong :premises (@p555 @p363))
% 0.43/0.89  (step @p563 :rule ho_cong :premises (@p562 @p552))
% 0.43/0.89  (step @p564 :rule trans :premises (@p563 @p561))
% 0.43/0.89  (step @p565 :rule cong :premises (@p564 @p550) :args (@t480))
% 0.43/0.89  (step @p566 :rule cong :premises (@p552 @p550 @p565) :args (@t481))
% 0.43/0.89  (step @p567 :rule cong :premises (@p566) :args (@t482))
% 0.43/0.89  (step @p568 :rule cong :premises (@p565 @p567) :args (@t483))
% 0.43/0.89  (step @p569 :rule cong :premises (@p568) :args ((forall @t18 @t483)))
% 0.43/0.89  (step @p570 :rule refl :args (@t13))
% 0.43/0.89  (step @p571 :rule refl :args (@t484))
% 0.43/0.89  (step @p572 :rule cong :premises (@p571 @p570) :args (@t485))
% 0.43/0.89  (step @p573 :rule refl :args (@t4))
% 0.43/0.89  (step @p574 :rule cong :premises (@p573 @p570 @p572) :args (@t486))
% 0.43/0.89  (step @p575 :rule cong :premises (@p574) :args (@t487))
% 0.43/0.89  (step @p576 :rule cong :premises (@p572 @p575) :args (@t488))
% 0.43/0.89  (step @p577 :rule cong :premises (@p576) :args ((forall @t18 @t488)))
% 0.43/0.89  (step @p578 :rule trans :premises (@p577 @p569))
% 0.43/0.89  (step @p579 :rule refl :args (tptp.gen_length_a))
% 0.43/0.89  (step @p580 :rule ho_cong :premises (@p579 @p390))
% 0.43/0.89  (step @p581 :rule refl :args (tptp.size_size_list_a))
% 0.43/0.89  (step @p582 :rule cong :premises (@p581 @p580) :args (@t68))
% 0.43/0.89  (step @p583 :rule eq_resolve :premises (@p60 @p582))
% 0.43/0.89  (step @p584 :rule ho_cong :premises (@p583 @p573))
% 0.43/0.89  (step @p585 :rule cong :premises (@p584 @p570) :args (@t490))
% 0.43/0.89  (step @p586 :rule cong :premises (@p573 @p570 @p585) :args (@t491))
% 0.43/0.89  (step @p587 :rule cong :premises (@p586) :args (@t492))
% 0.43/0.89  (step @p588 :rule cong :premises (@p585 @p587) :args (@t493))
% 0.43/0.89  (step @p589 :rule cong :premises (@p588) :args ((forall @t18 @t493)))
% 0.43/0.89  (step @p590 :rule trans :premises (@p589 @p578))
% 0.43/0.89  (step @p591 :rule refl :args ((tptp.size_s1427607542list_a @t494)))
% 0.43/0.89  (step @p592 :rule refl :args ((tptp.listSl1495374126_aux_a @t4 @t13 @t297)))
% 0.43/0.89  (step @p593 :rule refl :args ((tptp.divide_divide_nat @t17 @t13)))
% 0.43/0.89  (step @p594 :rule refl :args (@t489))
% 0.43/0.89  (step @p595 :rule cong :premises (@p594 @p550) :args (@t490))
% 0.43/0.89  (step @p596 :rule trans :premises (@p595 @p593))
% 0.43/0.89  (step @p597 :rule cong :premises (@p552 @p550 @p596) :args (@t491))
% 0.43/0.89  (step @p598 :rule trans :premises (@p597 @p592))
% 0.43/0.89  (step @p599 :rule cong :premises (@p598) :args (@t492))
% 0.43/0.89  (step @p600 :rule trans :premises (@p599 @p591))
% 0.43/0.89  (step @p601 :rule ho_cong :premises (@p344 @p598))
% 0.43/0.89  (step @p602 :rule cong :premises (@p601 @p600) :args ((= (_ tptp.size_s1427607542list_a @t491) @t492)))
% 0.43/0.89  (step @p603 :rule symm :premises (@p602))
% 0.43/0.89  (step @p604 :rule refl :args (@t495))
% 0.43/0.89  (step @p605 :rule eq_resolve :premises (@p604 @p603))
% 0.43/0.89  (step @p606 :rule refl :args (@t131))
% 0.43/0.89  (step @p607 :rule ho_cong :premises (@p606 @p596))
% 0.43/0.89  (step @p608 :rule cong :premises (@p607 @p598) :args ((= (_ @t131 @t490) @t491)))
% 0.43/0.89  (step @p609 :rule symm :premises (@p608))
% 0.43/0.89  (step @p610 :rule refl :args (@t494))
% 0.43/0.89  (step @p611 :rule eq_resolve :premises (@p610 @p609))
% 0.43/0.89  (step @p612 :rule refl :args (tptp.divide_divide_nat))
% 0.43/0.89  (step @p613 :rule ho_cong :premises (@p612 @p594))
% 0.43/0.89  (step @p614 :rule ho_cong :premises (@p613 @p550))
% 0.43/0.89  (step @p615 :rule cong :premises (@p614 @p596) :args ((= (_ (_ tptp.divide_divide_nat @t489) @t13) @t490)))
% 0.43/0.89  (step @p616 :rule symm :premises (@p615))
% 0.43/0.89  (step @p617 :rule refl :args (@t297))
% 0.43/0.89  (step @p618 :rule eq_resolve :premises (@p617 @p616))
% 0.43/0.89  (step @p619 :rule refl :args (@t17))
% 0.43/0.89  (step @p620 :rule cong :premises (@p619 @p594) :args ((= @t17 @t489)))
% 0.43/0.89  (step @p621 :rule symm :premises (@p620))
% 0.43/0.89  (step @p622 :rule eq_resolve :premises (@p619 @p621))
% 0.43/0.89  (step @p623 :rule ho_cong :premises (@p612 @p622))
% 0.43/0.89  (step @p624 :rule ho_cong :premises (@p623 @p550))
% 0.43/0.89  (step @p625 :rule trans :premises (@p624 @p618))
% 0.43/0.89  (step @p626 :rule ho_cong :premises (@p606 @p625))
% 0.43/0.89  (step @p627 :rule trans :premises (@p626 @p611))
% 0.43/0.89  (step @p628 :rule ho_cong :premises (@p344 @p627))
% 0.43/0.89  (step @p629 :rule trans :premises (@p628 @p605))
% 0.43/0.89  (step @p630 :rule cong :premises (@p625 @p629) :args (@t496))
% 0.43/0.89  (step @p631 :rule cong :premises (@p630) :args ((forall @t18 @t496)))
% 0.43/0.89  (step @p632 :rule eq-symm :args (@t495 @t297))
% 0.43/0.89  (step @p633 :rule refl :args (@t297))
% 0.43/0.89  (step @p634 :rule beta-reduce :args ((= (_ @t498 @t13) @t494)))
% 0.43/0.89  (step @p635 :rule beta-reduce :args ((= @t499 @t498)))
% 0.43/0.89  (step @p636 :rule ho_cong :premises (@p635 @p570))
% 0.43/0.89  (step @p637 :rule trans :premises (@p636 @p634))
% 0.43/0.89  (step @p638 :rule ho_cong :premises (@p385 @p637))
% 0.43/0.89  (step @p639 :rule cong :premises (@p638 @p633) :args (@t500))
% 0.43/0.89  (step @p640 :rule trans :premises (@p639 @p632))
% 0.43/0.89  (step @p641 :rule cong :premises (@p640) :args ((forall @t18 @t500)))
% 0.43/0.89  (step @p642 :rule trans :premises (@p641 @p631))
% 0.43/0.89  (step @p643 :rule ho_cong :premises (@p331 @p573))
% 0.43/0.89  (step @p644 :rule ho_cong :premises (@p643 @p570))
% 0.43/0.89  (step @p645 :rule ho_cong :premises (@p385 @p644))
% 0.43/0.89  (step @p646 :rule cong :premises (@p645 @p633) :args (@t298))
% 0.43/0.89  (step @p647 :rule cong :premises (@p646) :args (@t299))
% 0.43/0.89  (step @p648 :rule trans :premises (@p647 @p642))
% 0.43/0.89  (step @p649 :rule trans :premises (@p648 @p590))
% 0.43/0.89  (step @p650 :rule eq_resolve :premises (@p240 @p649))
% 0.43/0.89  (step @p651 :rule instantiate :premises (@p650) :args ((@list @t474 tptp.k)))
% 0.43/0.89  (step @p652 :rule symm :premises (@p651))
% 0.43/0.89  (step @p653 :rule cong :premises (@p652) :args (@t503))
% 0.43/0.89  (step @p654 :rule refl :args ((tptp.gen_length_a @t431 @t504)))
% 0.43/0.89  (step @p655 :rule refl :args ((tptp.concat_a @t427)))
% 0.43/0.89  (step @p656 :rule cong :premises (@p341) :args (@t474))
% 0.43/0.89  (step @p657 :rule trans :premises (@p656 @p655))
% 0.43/0.89  (step @p658 :rule cong :premises (@p343 @p657) :args (@t475))
% 0.43/0.89  (step @p659 :rule trans :premises (@p658 @p654))
% 0.43/0.89  (step @p660 :rule ho_cong :premises (@p556 @p657))
% 0.43/0.89  (step @p661 :rule cong :premises (@p660 @p659) :args ((= (_ @t477 @t474) @t475)))
% 0.43/0.89  (step @p662 :rule symm :premises (@p661))
% 0.43/0.89  (step @p663 :rule refl :args (@t505))
% 0.43/0.89  (step @p664 :rule eq_resolve :premises (@p663 @p662))
% 0.43/0.89  (step @p665 :rule refl :args (tptp.concat_a))
% 0.43/0.89  (step @p666 :rule ho_cong :premises (@p665 @p341))
% 0.43/0.89  (step @p667 :rule cong :premises (@p666 @p657) :args ((= (_ tptp.concat_a @t429) @t474)))
% 0.43/0.89  (step @p668 :rule symm :premises (@p667))
% 0.43/0.89  (step @p669 :rule refl :args (@t504))
% 0.43/0.89  (step @p670 :rule eq_resolve :premises (@p669 @p668))
% 0.43/0.89  (step @p671 :rule ho_cong :premises (@p379 @p359))
% 0.43/0.89  (step @p672 :rule trans :premises (@p671 @p355))
% 0.43/0.89  (step @p673 :rule refl :args (tptp.concat_a))
% 0.43/0.89  (step @p674 :rule ho_cong :premises (@p673 @p672))
% 0.43/0.89  (step @p675 :rule trans :premises (@p674 @p670))
% 0.43/0.89  (step @p676 :rule ho_cong :premises (@p385 @p672))
% 0.43/0.89  (step @p677 :rule trans :premises (@p676 @p349))
% 0.43/0.89  (step @p678 :rule ho_cong :premises (@p579 @p677))
% 0.43/0.89  (step @p679 :rule ho_cong :premises (@p678 @p675))
% 0.43/0.89  (step @p680 :rule trans :premises (@p679 @p664))
% 0.43/0.89  (step @p681 :rule cong :premises (@p677 @p680) :args ((= @t431 @t505)))
% 0.43/0.89  (step @p682 :rule ho_cong :premises (@p673 @p384))
% 0.43/0.89  (step @p683 :rule refl :args (tptp.nil_a))
% 0.43/0.89  (step @p684 :rule cong :premises (@p683 @p682) :args ((= tptp.nil_a @t9)))
% 0.43/0.89  (step @p685 :rule symm :premises (@p5))
% 0.43/0.89  (step @p686 :rule eq_resolve :premises (@p685 @p684))
% 0.43/0.89  (step @p687 :rule ho_cong :premises (@p583 @p686))
% 0.43/0.89  (step @p688 :rule cong :premises (@p390 @p687) :args ((= tptp.zero_zero_nat @t67)))
% 0.43/0.89  (step @p689 :rule eq-symm :args (@t67 tptp.zero_zero_nat))
% 0.43/0.89  (step @p690 :rule trans :premises (@p689 @p688 @p681))
% 0.43/0.89  (step @p691 :rule eq_resolve :premises (@p58 @p690))
% 0.43/0.89  (step @p692 :rule cong :premises (@p691) :args (@t506))
% 0.43/0.89  (step @p693 :rule cong :premises (@p692 @p653) :args (@t507))
% 0.43/0.89  (step @p694 :rule trans :premises (@p693 @p549))
% 0.43/0.89  (step @p695 :rule false_elim :premises (@p694))
% 0.43/0.89  (step @p696 :rule refl :args ((tptp.listSl1495374126_aux_a @t504 tptp.k @t508)))
% 0.43/0.89  (step @p697 :rule refl :args ((tptp.divide_divide_nat @t505 tptp.k)))
% 0.43/0.89  (step @p698 :rule refl :args (tptp.k))
% 0.43/0.89  (step @p699 :rule cong :premises (@p659 @p698) :args (@t501))
% 0.43/0.89  (step @p700 :rule trans :premises (@p699 @p697))
% 0.43/0.89  (step @p701 :rule cong :premises (@p657 @p698 @p700) :args (@t502))
% 0.43/0.89  (step @p702 :rule trans :premises (@p701 @p696))
% 0.43/0.89  (step @p703 :rule refl :args (tptp.listSl1495374126_aux_a))
% 0.43/0.89  (step @p704 :rule ho_cong :premises (@p703 @p657))
% 0.43/0.89  (step @p705 :rule ho_cong :premises (@p704 @p698))
% 0.43/0.89  (step @p706 :rule ho_cong :premises (@p705 @p700))
% 0.43/0.89  (step @p707 :rule cong :premises (@p706 @p702) :args ((= (_ (_ (_ tptp.listSl1495374126_aux_a @t474) tptp.k) @t501) @t502)))
% 0.43/0.89  (step @p708 :rule symm :premises (@p707))
% 0.43/0.89  (step @p709 :rule refl :args (@t509))
% 0.43/0.89  (step @p710 :rule eq_resolve :premises (@p709 @p708))
% 0.43/0.89  (step @p711 :rule ho_cong :premises (@p612 @p659))
% 0.43/0.89  (step @p712 :rule ho_cong :premises (@p711 @p698))
% 0.43/0.89  (step @p713 :rule cong :premises (@p712 @p700) :args ((= (_ (_ tptp.divide_divide_nat @t475) tptp.k) @t501)))
% 0.43/0.89  (step @p714 :rule symm :premises (@p713))
% 0.43/0.89  (step @p715 :rule refl :args (@t508))
% 0.43/0.89  (step @p716 :rule eq_resolve :premises (@p715 @p714))
% 0.43/0.89  (step @p717 :rule refl :args (tptp.k))
% 0.43/0.89  (step @p718 :rule refl :args (tptp.divide_divide_nat))
% 0.43/0.89  (step @p719 :rule ho_cong :premises (@p718 @p680))
% 0.43/0.89  (step @p720 :rule ho_cong :premises (@p719 @p717))
% 0.43/0.89  (step @p721 :rule trans :premises (@p720 @p716))
% 0.43/0.89  (step @p722 :rule refl :args (tptp.listSl1495374126_aux_a))
% 0.43/0.89  (step @p723 :rule ho_cong :premises (@p722 @p675))
% 0.43/0.89  (step @p724 :rule ho_cong :premises (@p723 @p717))
% 0.43/0.89  (step @p725 :rule ho_cong :premises (@p724 @p721))
% 0.43/0.89  (step @p726 :rule trans :premises (@p725 @p710))
% 0.43/0.89  (step @p727 :rule cong :premises (@p672 @p726) :args (@t510))
% 0.43/0.89  (step @p728 :rule cong :premises (@p727) :args ((not @t510)))
% 0.43/0.89  (step @p729 :rule ho_cong :premises (@p718 @p687))
% 0.43/0.89  (step @p730 :rule ho_cong :premises (@p729 @p717))
% 0.43/0.89  (step @p731 :rule ho_cong :premises (@p722 @p686))
% 0.43/0.89  (step @p732 :rule ho_cong :premises (@p731 @p717))
% 0.43/0.89  (step @p733 :rule ho_cong :premises (@p732 @p730))
% 0.43/0.89  (step @p734 :rule cong :premises (@p384 @p733) :args (@t514))
% 0.43/0.89  (step @p735 :rule cong :premises (@p734) :args ((not @t514)))
% 0.43/0.89  (step @p736 :rule eq-symm :args (@t513 tptp.nil_list_a))
% 0.43/0.89  (step @p737 :rule beta-reduce :args ((= (_ @t515 tptp.k) @t513)))
% 0.43/0.89  (step @p738 :rule beta-reduce :args ((= @t516 @t515)))
% 0.43/0.89  (step @p739 :rule ho_cong :premises (@p738 @p717))
% 0.43/0.89  (step @p740 :rule trans :premises (@p739 @p737))
% 0.43/0.89  (step @p741 :rule cong :premises (@p740 @p381) :args (@t517))
% 0.43/0.89  (step @p742 :rule trans :premises (@p741 @p736))
% 0.43/0.89  (step @p743 :rule cong :premises (@p742) :args ((not @t517)))
% 0.43/0.89  (step @p744 :rule ho_cong :premises (@p331 @p683))
% 0.43/0.89  (step @p745 :rule ho_cong :premises (@p744 @p717))
% 0.43/0.89  (step @p746 :rule cong :premises (@p745 @p381) :args (@t413))
% 0.43/0.89  (step @p747 :rule cong :premises (@p746) :args (@t414))
% 0.43/0.89  (step @p748 :rule trans :premises (@p747 @p743))
% 0.43/0.89  (step @p749 :rule trans :premises (@p748 @p735 @p728))
% 0.43/0.89  (step @p750 :rule eq_resolve :premises (@p329 @p749))
% 0.43/0.89  (step @p751 :rule refl :args (@t507))
% 0.43/0.89  (step @p752 :rule bool-double-not-elim :args (@t518))
% 0.43/0.89  (step @p753 :rule refl :args (@t521))
% 0.43/0.89  (step @p754 :rule nary_cong :premises (@p753 @p752 @p751) :args ((or @t521 (not @t519) @t507)))
% 0.43/0.89  (step @p755 :rule cnf_equiv_pos1 :args (@t520))
% 0.43/0.89  (step @p756 :rule eq_resolve :premises (@p755 @p754))
% 0.43/0.89  (step @p757 :rule reordering :premises (@p756) :args ((or @t518 @t507 @t521)))
% 0.43/0.89  (step @p758 :rule chain_m_resolution :premises (@p757 @p750 @p695) :args (@t521 (@list true true) (@list @t518 @t507)))
% 0.43/0.89  (step @p759 :rule eq-symm :args (@t502 @t429))
% 0.43/0.89  (step @p760 :rule cong :premises (@p759) :args (@t522))
% 0.43/0.89  (step @p761 :rule cong :premises (@p760 @p751) :args (@t523))
% 0.43/0.89  (step @p762 :rule refl :args (@t524))
% 0.43/0.89  (step @p763 :rule cong :premises (@p762 @p761) :args ((=> @t524 @t523)))
% 0.43/0.89  (assume-push @p771 @t524)
% 0.43/0.89  (step @p765 :rule instantiate :premises (@p455) :args ((@list @t502)))
% 0.43/0.89  (step-pop @p772 :rule scope :premises (@p765))
% 0.43/0.89  (step @p766 :rule process_scope :premises (@p772) :args (@t523))
% 0.43/0.89  (step @p768 :rule eq_resolve :premises (@p766 @p763))
% 0.43/0.89  (step @p769 :rule implies_elim :premises (@p768))
% 0.43/0.89  (step @p770 false :rule chain_m_resolution :premises (@p769 @p758 @p455) :args (false (@list true false) (@list @t520 @t524)))
% 0.43/0.89  )
% 0.43/0.89  % SZS output end Proof
% 0.43/0.89  % cvc5 exiting
%------------------------------------------------------------------------------