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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ITP100^1 : TPTP v9.2.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 08:25:03 AM UTC 2026

% Result   : Theorem 0.96s 1.17s
% Output   : Proof 0.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP100^1 : TPTP v9.2.1. Released v7.5.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n009.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 04:13:59 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.48/0.63  %----Proving TH0
% 0.96/1.17  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.96/1.17  % SZS status Theorem
% 0.96/1.17  % SZS output start Proof
% 0.96/1.17  (
% 0.96/1.17  (declare-sort tptp.list_a 0)
% 0.96/1.17  (declare-sort tptp.a 0)
% 0.96/1.17  (declare-sort tptp.set_list_a 0)
% 0.96/1.17  (declare-sort tptp.set_list_list_a 0)
% 0.96/1.17  (declare-sort tptp.set_a 0)
% 0.96/1.17  (declare-sort tptp.list_list_a 0)
% 0.96/1.17  (declare-sort tptp.nat 0)
% 0.96/1.17  (declare-sort tptp.list_nat 0)
% 0.96/1.17  (declare-sort tptp.list_list_list_a 0)
% 0.96/1.17  (declare-const tptp.nil_list_a tptp.list_list_a)
% 0.96/1.17  (declare-const tptp.append_list_a (-> tptp.list_list_a tptp.list_list_a tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.foldr_769741863list_a (-> (-> tptp.list_list_a tptp.list_list_a tptp.list_list_a) tptp.list_list_list_a tptp.list_list_a tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.nil_a tptp.list_a)
% 0.96/1.17  (declare-const tptp.append_a (-> tptp.list_a tptp.list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.foldr_list_a_list_a (-> (-> tptp.list_a tptp.list_a tptp.list_a) tptp.list_list_a tptp.list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.cons_nat (-> tptp.nat tptp.list_nat tptp.list_nat))
% 0.96/1.17  (declare-const tptp.append_nat (-> tptp.list_nat tptp.list_nat tptp.list_nat))
% 0.96/1.17  (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool))
% 0.96/1.17  (declare-const tptp.x tptp.a)
% 0.96/1.17  (declare-const tptp.xs tptp.list_a)
% 0.96/1.17  (declare-const tptp.f (-> tptp.nat tptp.a))
% 0.96/1.17  (declare-const tptp.if_list_a (-> Bool tptp.list_a tptp.list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.remdups_adj_a (-> tptp.list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.successively_list_a (-> (-> tptp.list_a tptp.list_a Bool) tptp.list_list_a Bool))
% 0.96/1.17  (declare-const tptp.tl_a (-> tptp.list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.tl_list_a (-> tptp.list_list_a tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.distinct_adj_a (-> tptp.list_a Bool))
% 0.96/1.17  (declare-const tptp.distinct_adj_list_a (-> tptp.list_list_a Bool))
% 0.96/1.17  (declare-const tptp.hd_list_list_a (-> tptp.list_list_list_a tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.hd_a (-> tptp.list_a tptp.a))
% 0.96/1.17  (declare-const tptp.hd_list_a (-> tptp.list_list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.map2_a_a_a (-> (-> tptp.a tptp.a tptp.a) tptp.list_a tptp.list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.collect_list_a (-> (-> tptp.list_a Bool) tptp.set_list_a))
% 0.96/1.17  (declare-const tptp.list_ex1_a (-> (-> tptp.a Bool) tptp.list_a Bool))
% 0.96/1.17  (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a))
% 0.96/1.17  (declare-const tptp.listre1221556159list_a (-> (-> tptp.list_a tptp.list_a Bool) tptp.list_list_a tptp.list_list_a Bool))
% 0.96/1.17  (declare-const tptp.bind_list_a_list_a (-> tptp.list_list_a (-> tptp.list_a tptp.list_list_a) tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.listrelp_a_list_a (-> (-> tptp.a tptp.list_a Bool) tptp.list_a tptp.list_list_a Bool))
% 0.96/1.17  (declare-const tptp.listrelp_list_a_a (-> (-> tptp.list_a tptp.a Bool) tptp.list_list_a tptp.list_a Bool))
% 0.96/1.17  (declare-const tptp.product_lists_list_a (-> tptp.list_list_list_a tptp.list_list_list_a))
% 0.96/1.17  (declare-const tptp.last_a (-> tptp.list_a tptp.a))
% 0.96/1.17  (declare-const tptp.bind_list_a_a (-> tptp.list_list_a (-> tptp.list_a tptp.list_a) tptp.list_a))
% 0.96/1.17  (declare-const tptp.bind_a_list_a (-> tptp.list_a (-> tptp.a tptp.list_list_a) tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.map_ta982122357list_a (-> (-> tptp.list_a tptp.list_a) tptp.list_list_a tptp.list_list_a tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.lexordp_eq_a (-> (-> tptp.a tptp.a Bool) tptp.list_a tptp.list_a Bool))
% 0.96/1.17  (declare-const tptp.insert_list_a (-> tptp.list_a tptp.list_list_a tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.map_tailrec_rev_a_a (-> (-> tptp.a tptp.a) tptp.list_a tptp.list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.listIn1753026346list_a (-> tptp.list_list_a (-> tptp.nat tptp.list_a) tptp.nat tptp.list_a))
% 0.96/1.17  (declare-const tptp.member_list_a2 (-> tptp.list_a tptp.set_list_a Bool))
% 0.96/1.17  (declare-const tptp.listIn1312259492pend_a (-> tptp.list_a (-> tptp.nat tptp.a) tptp.nat tptp.a))
% 0.96/1.17  (declare-const tptp.list_ex1_list_a (-> (-> tptp.list_a Bool) tptp.list_list_a Bool))
% 0.96/1.17  (declare-const tptp.insert_a (-> tptp.a tptp.list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.shuffles_a (-> tptp.list_a tptp.list_a tptp.set_list_a))
% 0.96/1.17  (declare-const tptp.bNF_Greatest_Shift_a (-> tptp.set_list_a tptp.a tptp.set_list_a))
% 0.96/1.17  (declare-const tptp.bind_a_a (-> tptp.list_a (-> tptp.a tptp.list_a) tptp.list_a))
% 0.96/1.17  (declare-const tptp.nil_list_list_a tptp.list_list_list_a)
% 0.96/1.17  (declare-const tptp.splice_list_a (-> tptp.list_list_a tptp.list_list_a tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.map_ta2002079599st_a_a (-> (-> tptp.list_a tptp.a) tptp.list_list_a tptp.list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.listrelp_a_a (-> (-> tptp.a tptp.a Bool) tptp.list_a tptp.list_a Bool))
% 0.96/1.17  (declare-const tptp.cons_list_a (-> tptp.list_a tptp.list_list_a tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.rotate1_list_a (-> tptp.list_list_a tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.cons_a (-> tptp.a tptp.list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.successively_a (-> (-> tptp.a tptp.a Bool) tptp.list_a Bool))
% 0.96/1.17  (declare-const tptp.list_ord_nat (-> (-> tptp.nat tptp.nat Bool) tptp.list_nat Bool))
% 0.96/1.17  (declare-const tptp.cons_list_list_a (-> tptp.list_list_a tptp.list_list_list_a tptp.list_list_list_a))
% 0.96/1.17  (declare-const tptp.lexordp_eq_list_a (-> (-> tptp.list_a tptp.list_a Bool) tptp.list_list_a tptp.list_list_a Bool))
% 0.96/1.17  (declare-const tptp.map_ta41997947list_a (-> (-> tptp.a tptp.list_a) tptp.list_a tptp.list_list_a tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.product_lists_a (-> tptp.list_list_a tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.bNF_Greatest_Succ_a (-> tptp.set_list_a tptp.list_a tptp.set_a))
% 0.96/1.17  (declare-const tptp.subseqs_list_a (-> tptp.list_list_a tptp.list_list_list_a))
% 0.96/1.17  (declare-const tptp.subseqs_a (-> tptp.list_a tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.ord_lexordp_eq_nat (-> tptp.list_nat tptp.list_nat Bool))
% 0.96/1.17  (declare-const tptp.last_list_a (-> tptp.list_list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.nil_nat tptp.list_nat)
% 0.96/1.17  (declare-const tptp.member_list_a (-> tptp.list_list_a tptp.list_a Bool))
% 0.96/1.17  (declare-const tptp.member_a (-> tptp.list_a tptp.a Bool))
% 0.96/1.17  (declare-const tptp.size_size_list_a (-> tptp.list_a tptp.nat))
% 0.96/1.17  (declare-const tptp.list_strict_asc_nat (-> tptp.list_nat Bool))
% 0.96/1.17  (declare-const tptp.maps_a_a (-> (-> tptp.a tptp.list_a) tptp.list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.maps_a_list_a (-> (-> tptp.a tptp.list_list_a) tptp.list_a tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.maps_list_a_a (-> (-> tptp.list_a tptp.list_a) tptp.list_list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.maps_list_a_list_a (-> (-> tptp.list_a tptp.list_list_a) tptp.list_list_a tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.member_a2 (-> tptp.a tptp.set_a Bool))
% 0.96/1.17  (declare-const tptp.append_list_list_a (-> tptp.list_list_list_a tptp.list_list_list_a tptp.list_list_list_a))
% 0.96/1.17  (declare-const tptp.bNF_Gr1972240547list_a (-> tptp.set_list_list_a tptp.list_a tptp.set_list_list_a))
% 0.96/1.17  (declare-const tptp.rotate1_a (-> tptp.list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.butlast_list_a (-> tptp.list_list_a tptp.list_list_a))
% 0.96/1.17  (declare-const tptp.butlast_a (-> tptp.list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.splice_a (-> tptp.list_a tptp.list_a tptp.list_a))
% 0.96/1.17  (declare-const tptp.bNF_Gr1046450207list_a (-> tptp.set_list_list_a tptp.list_list_a tptp.set_list_a))
% 0.96/1.17  (declare-const tptp.member_list_list_a (-> tptp.list_list_a tptp.set_list_list_a Bool))
% 0.96/1.17  (define tptp.concat_list_a () (let ((_let_1 (@var "Xss3" tptp.list_list_list_a))) (lambda (@list _let_1) (_ (_ (_ tptp.foldr_769741863list_a tptp.append_list_a) _let_1) tptp.nil_list_a))))
% 0.96/1.17  (define tptp.concat_a () (let ((_let_1 (@var "Xss3" tptp.list_list_a))) (lambda (@list _let_1) (_ (_ (_ tptp.foldr_list_a_list_a tptp.append_a) _let_1) tptp.nil_a))))
% 0.96/1.17  (define tptp.ord_lexordp_nat () (let ((_let_1 (@var "Ws" tptp.list_nat))) (let ((_let_2 (@var "B2" tptp.nat))) (let ((_let_3 (@var "Us" tptp.list_nat))) (let ((_let_4 (_ tptp.append_nat _let_3))) (let ((_let_5 (@var "Ys" tptp.list_nat))) (let ((_let_6 (@var "Vs" tptp.list_nat))) (let ((_let_7 (@var "A5" tptp.nat))) (let ((_let_8 (@var "Xs3" tptp.list_nat))) (let ((_let_9 (@var "X4" tptp.nat))) (lambda (@list _let_8 _let_5) (or (exists (@list _let_9 _let_6) (= _let_5 (_ (_ tptp.append_nat _let_8) (_ (_ tptp.cons_nat _let_9) _let_6)))) (exists (@list _let_3 _let_7 _let_2 _let_6 _let_1) (and (_ (_ tptp.ord_less_nat _let_7) _let_2) (= _let_8 (_ _let_4 (_ (_ tptp.cons_nat _let_7) _let_6))) (= _let_5 (_ _let_4 (_ (_ tptp.cons_nat _let_2) _let_1)))))))))))))))))
% 0.96/1.17  (define @t1 () (@var "F" (-> tptp.nat tptp.list_a)))
% 0.96/1.17  (define @t2 () (@var "F" (-> tptp.nat tptp.a)))
% 0.96/1.17  (define @t3 () (@var "Y22" tptp.list_list_a))
% 0.96/1.17  (define @t4 () (@var "X22" tptp.list_list_a))
% 0.96/1.17  (define @t5 () (@var "Y21" tptp.list_a))
% 0.96/1.17  (define @t6 () (@var "X21" tptp.list_a))
% 0.96/1.17  (define @t7 () (_ (_ tptp.cons_list_a @t6) @t4))
% 0.96/1.17  (define @t8 () (@var "Y22" tptp.list_a))
% 0.96/1.17  (define @t9 () (@var "X22" tptp.list_a))
% 0.96/1.17  (define @t10 () (@var "Y21" tptp.a))
% 0.96/1.17  (define @t11 () (@var "X21" tptp.a))
% 0.96/1.17  (define @t12 () (_ (_ tptp.cons_a @t11) @t9))
% 0.96/1.17  (define @t13 () (@list @t6 @t4))
% 0.96/1.17  (define @t14 () (@list @t11 @t9))
% 0.96/1.17  (define @t15 () (@var "List" tptp.list_list_a))
% 0.96/1.17  (define @t16 () (= @t15 tptp.nil_list_a))
% 0.96/1.17  (define @t17 () (not @t16))
% 0.96/1.17  (define @t18 () (@var "List" tptp.list_a))
% 0.96/1.17  (define @t19 () (= @t18 tptp.nil_a))
% 0.96/1.17  (define @t20 () (not @t19))
% 0.96/1.17  (define @t21 () (@var "X222" tptp.list_list_a))
% 0.96/1.17  (define @t22 () (@var "X212" tptp.list_a))
% 0.96/1.17  (define @t23 () (@var "Y" tptp.list_list_a))
% 0.96/1.17  (define @t24 () (@var "X222" tptp.list_a))
% 0.96/1.17  (define @t25 () (@var "X212" tptp.a))
% 0.96/1.17  (define @t26 () (@var "Y" tptp.list_a))
% 0.96/1.17  (define @t27 () (not (= @t26 tptp.nil_a)))
% 0.96/1.17  (define @t28 () (@list @t26))
% 0.96/1.17  (define @t29 () (@var "P" (-> tptp.list_list_a Bool)))
% 0.96/1.17  (define @t30 () (@var "X2" tptp.list_list_a))
% 0.96/1.17  (define @t31 () (@var "X1" tptp.list_a))
% 0.96/1.17  (define @t32 () (_ @t29 tptp.nil_list_a))
% 0.96/1.17  (define @t33 () (@var "P" (-> tptp.list_a Bool)))
% 0.96/1.17  (define @t34 () (@var "X2" tptp.list_a))
% 0.96/1.17  (define @t35 () (@var "X1" tptp.a))
% 0.96/1.17  (define @t36 () (_ @t33 tptp.nil_a))
% 0.96/1.17  (define @t37 () (@var "Ys" tptp.list_list_a))
% 0.96/1.17  (define @t38 () (@var "Y2" tptp.list_a))
% 0.96/1.17  (define @t39 () (_ (_ tptp.cons_list_a @t38) @t37))
% 0.96/1.17  (define @t40 () (@var "Xs" tptp.list_list_a))
% 0.96/1.17  (define @t41 () (= @t40 tptp.nil_list_a))
% 0.96/1.17  (define @t42 () (not @t41))
% 0.96/1.17  (define @t43 () (@list @t40))
% 0.96/1.17  (define @t44 () (@var "Ys" tptp.list_a))
% 0.96/1.17  (define @t45 () (@var "Y2" tptp.a))
% 0.96/1.17  (define @t46 () (_ (_ tptp.cons_a @t45) @t44))
% 0.96/1.17  (define @t47 () (@var "Xs" tptp.list_a))
% 0.96/1.17  (define @t48 () (= @t47 tptp.nil_a))
% 0.96/1.17  (define @t49 () (not @t48))
% 0.96/1.17  (define @t50 () (@list @t47))
% 0.96/1.17  (define @t51 () (@var "Ys2" tptp.list_list_a))
% 0.96/1.17  (define @t52 () (@var "P" (-> tptp.list_a tptp.list_list_a Bool)))
% 0.96/1.17  (define @t53 () (@var "Ys3" tptp.list_list_a))
% 0.96/1.17  (define @t54 () (@var "Y3" tptp.list_a))
% 0.96/1.17  (define @t55 () (_ tptp.cons_list_a @t54))
% 0.96/1.17  (define @t56 () (_ @t55 @t53))
% 0.96/1.17  (define @t57 () (@var "Xs2" tptp.list_a))
% 0.96/1.17  (define @t58 () (@var "X" tptp.a))
% 0.96/1.17  (define @t59 () (_ tptp.cons_a @t58))
% 0.96/1.17  (define @t60 () (_ @t59 @t57))
% 0.96/1.17  (define @t61 () (_ @t52 @t60))
% 0.96/1.17  (define @t62 () (=> (_ (_ @t52 @t57) @t53) (_ @t61 @t56)))
% 0.96/1.17  (define @t63 () (_ @t52 tptp.nil_a))
% 0.96/1.17  (define @t64 () (@list @t54 @t53))
% 0.96/1.17  (define @t65 () (@list @t58 @t57))
% 0.96/1.17  (define @t66 () (_ @t63 tptp.nil_list_a))
% 0.96/1.17  (define @t67 () (@var "Ys2" tptp.list_a))
% 0.96/1.17  (define @t68 () (@var "P" (-> tptp.list_list_a tptp.list_a Bool)))
% 0.96/1.17  (define @t69 () (@var "Ys3" tptp.list_a))
% 0.96/1.17  (define @t70 () (@var "Y3" tptp.a))
% 0.96/1.17  (define @t71 () (_ tptp.cons_a @t70))
% 0.96/1.17  (define @t72 () (_ @t71 @t69))
% 0.96/1.17  (define @t73 () (@var "Xs2" tptp.list_list_a))
% 0.96/1.17  (define @t74 () (@var "X" tptp.list_a))
% 0.96/1.17  (define @t75 () (_ tptp.cons_list_a @t74))
% 0.96/1.17  (define @t76 () (_ @t75 @t73))
% 0.96/1.17  (define @t77 () (_ @t68 @t76))
% 0.96/1.17  (define @t78 () (=> (_ (_ @t68 @t73) @t69) (_ @t77 @t72)))
% 0.96/1.17  (define @t79 () (_ @t68 tptp.nil_list_a))
% 0.96/1.17  (define @t80 () (@list @t70 @t69))
% 0.96/1.17  (define @t81 () (@list @t74 @t73))
% 0.96/1.17  (define @t82 () (_ @t79 tptp.nil_a))
% 0.96/1.17  (define @t83 () (@var "P" (-> tptp.list_list_a tptp.list_list_a Bool)))
% 0.96/1.17  (define @t84 () (_ @t83 @t76))
% 0.96/1.17  (define @t85 () (_ @t84 @t56))
% 0.96/1.17  (define @t86 () (_ @t83 @t73))
% 0.96/1.17  (define @t87 () (=> (_ @t86 @t53) @t85))
% 0.96/1.17  (define @t88 () (@list @t74 @t73 @t54 @t53))
% 0.96/1.17  (define @t89 () (_ @t83 tptp.nil_list_a))
% 0.96/1.17  (define @t90 () (_ @t89 tptp.nil_list_a))
% 0.96/1.17  (define @t91 () (@var "P" (-> tptp.list_a tptp.list_a Bool)))
% 0.96/1.17  (define @t92 () (_ (_ @t91 @t47) @t67))
% 0.96/1.17  (define @t93 () (_ @t91 @t60))
% 0.96/1.17  (define @t94 () (_ @t93 @t72))
% 0.96/1.17  (define @t95 () (_ @t91 @t57))
% 0.96/1.17  (define @t96 () (=> (_ @t95 @t69) @t94))
% 0.96/1.17  (define @t97 () (@list @t58 @t57 @t70 @t69))
% 0.96/1.17  (define @t98 () (_ @t91 tptp.nil_a))
% 0.96/1.17  (define @t99 () (_ @t98 tptp.nil_a))
% 0.96/1.17  (define @t100 () (@var "A1" tptp.list_list_a))
% 0.96/1.17  (define @t101 () (@var "A0" tptp.list_list_a))
% 0.96/1.17  (define @t102 () (_ (_ @t83 @t101) @t100))
% 0.96/1.17  (define @t103 () (_ @t84 @t53))
% 0.96/1.17  (define @t104 () (@var "X_1" tptp.list_list_a))
% 0.96/1.17  (define @t105 () (forall (@list @t104) (_ @t89 @t104)))
% 0.96/1.17  (define @t106 () (@list @t83 @t101 @t100))
% 0.96/1.17  (define @t107 () (@var "A1" tptp.list_a))
% 0.96/1.17  (define @t108 () (@var "A0" tptp.list_a))
% 0.96/1.17  (define @t109 () (_ (_ @t91 @t108) @t107))
% 0.96/1.17  (define @t110 () (_ @t93 @t69))
% 0.96/1.17  (define @t111 () (@var "X_1" tptp.list_a))
% 0.96/1.17  (define @t112 () (forall (@list @t111) (_ @t98 @t111)))
% 0.96/1.17  (define @t113 () (@list @t91 @t108 @t107))
% 0.96/1.17  (define @t114 () (_ @t29 @t40))
% 0.96/1.17  (define @t115 () (@var "Zs" tptp.list_list_a))
% 0.96/1.17  (define @t116 () (_ @t55 @t115))
% 0.96/1.17  (define @t117 () (_ @t75 tptp.nil_list_a))
% 0.96/1.17  (define @t118 () (@list @t74))
% 0.96/1.17  (define @t119 () (forall @t118 (_ @t29 @t117)))
% 0.96/1.17  (define @t120 () (@list @t29 @t40))
% 0.96/1.17  (define @t121 () (_ @t33 @t47))
% 0.96/1.17  (define @t122 () (@var "Zs" tptp.list_a))
% 0.96/1.17  (define @t123 () (_ @t71 @t122))
% 0.96/1.17  (define @t124 () (_ @t59 tptp.nil_a))
% 0.96/1.17  (define @t125 () (@list @t58))
% 0.96/1.17  (define @t126 () (forall @t125 (_ @t33 @t124)))
% 0.96/1.17  (define @t127 () (@list @t33 @t47))
% 0.96/1.17  (define @t128 () (@list @t73))
% 0.96/1.17  (define @t129 () (@list @t57))
% 0.96/1.17  (define @t130 () (@var "X3" tptp.list_a))
% 0.96/1.17  (define @t131 () (_ tptp.cons_list_a @t130))
% 0.96/1.17  (define @t132 () (_ @t131 @t40))
% 0.96/1.17  (define @t133 () (@list @t130 @t40))
% 0.96/1.17  (define @t134 () (@var "X3" tptp.a))
% 0.96/1.17  (define @t135 () (_ tptp.cons_a @t134))
% 0.96/1.17  (define @t136 () (_ @t135 @t47))
% 0.96/1.17  (define @t137 () (@list @t134 @t47))
% 0.96/1.17  (define @t138 () (@var "A2" tptp.list_a))
% 0.96/1.17  (define @t139 () (@var "A0" (-> tptp.list_a tptp.a)))
% 0.96/1.17  (define @t140 () (@var "P" (-> (-> tptp.list_a tptp.a) tptp.list_list_a tptp.list_a Bool)))
% 0.96/1.17  (define @t141 () (@var "Bs" tptp.list_a))
% 0.96/1.17  (define @t142 () (@var "As" tptp.list_list_a))
% 0.96/1.17  (define @t143 () (@var "A" tptp.list_a))
% 0.96/1.17  (define @t144 () (_ (_ tptp.cons_list_a @t143) @t142))
% 0.96/1.17  (define @t145 () (@var "F2" (-> tptp.list_a tptp.a)))
% 0.96/1.17  (define @t146 () (_ @t140 @t145))
% 0.96/1.17  (define @t147 () (@var "A2" tptp.list_list_a))
% 0.96/1.17  (define @t148 () (@var "A0" (-> tptp.a tptp.list_a)))
% 0.96/1.17  (define @t149 () (@var "P" (-> (-> tptp.a tptp.list_a) tptp.list_a tptp.list_list_a Bool)))
% 0.96/1.17  (define @t150 () (@var "Bs" tptp.list_list_a))
% 0.96/1.17  (define @t151 () (@var "As" tptp.list_a))
% 0.96/1.17  (define @t152 () (@var "A" tptp.a))
% 0.96/1.17  (define @t153 () (_ (_ tptp.cons_a @t152) @t151))
% 0.96/1.17  (define @t154 () (@var "F2" (-> tptp.a tptp.list_a)))
% 0.96/1.17  (define @t155 () (_ @t149 @t154))
% 0.96/1.17  (define @t156 () (@var "A0" (-> tptp.list_a tptp.list_a)))
% 0.96/1.17  (define @t157 () (@var "P" (-> (-> tptp.list_a tptp.list_a) tptp.list_list_a tptp.list_list_a Bool)))
% 0.96/1.17  (define @t158 () (@var "F2" (-> tptp.list_a tptp.list_a)))
% 0.96/1.17  (define @t159 () (_ @t157 @t158))
% 0.96/1.17  (define @t160 () (@var "A0" (-> tptp.a tptp.a)))
% 0.96/1.17  (define @t161 () (@var "P" (-> (-> tptp.a tptp.a) tptp.list_a tptp.list_a Bool)))
% 0.96/1.17  (define @t162 () (@var "F2" (-> tptp.a tptp.a)))
% 0.96/1.17  (define @t163 () (_ @t161 @t162))
% 0.96/1.17  (define @t164 () (_ @t29 @t76))
% 0.96/1.17  (define @t165 () (_ @t29 @t73))
% 0.96/1.17  (define @t166 () (not (= @t73 tptp.nil_list_a)))
% 0.96/1.17  (define @t167 () (@list @t40 @t29))
% 0.96/1.17  (define @t168 () (_ @t33 @t60))
% 0.96/1.17  (define @t169 () (_ @t33 @t57))
% 0.96/1.17  (define @t170 () (not (= @t57 tptp.nil_a)))
% 0.96/1.17  (define @t171 () (@list @t47 @t33))
% 0.96/1.17  (define @t172 () (@var "A0" (-> tptp.list_a tptp.list_a Bool)))
% 0.96/1.17  (define @t173 () (@var "P" (-> (-> tptp.list_a tptp.list_a Bool) tptp.list_list_a Bool)))
% 0.96/1.17  (define @t174 () (_ (_ @t173 @t172) @t100))
% 0.96/1.17  (define @t175 () (_ @t55 @t73))
% 0.96/1.17  (define @t176 () (_ @t75 @t175))
% 0.96/1.17  (define @t177 () (@var "P2" (-> tptp.list_a tptp.list_a Bool)))
% 0.96/1.17  (define @t178 () (_ @t173 @t177))
% 0.96/1.17  (define @t179 () (forall (@list @t177) (_ @t178 tptp.nil_list_a)))
% 0.96/1.17  (define @t180 () (@list @t173 @t172 @t100))
% 0.96/1.17  (define @t181 () (@var "A0" (-> tptp.a tptp.a Bool)))
% 0.96/1.17  (define @t182 () (@var "P" (-> (-> tptp.a tptp.a Bool) tptp.list_a Bool)))
% 0.96/1.17  (define @t183 () (_ (_ @t182 @t181) @t107))
% 0.96/1.17  (define @t184 () (_ @t71 @t57))
% 0.96/1.17  (define @t185 () (_ @t59 @t184))
% 0.96/1.17  (define @t186 () (@var "P2" (-> tptp.a tptp.a Bool)))
% 0.96/1.17  (define @t187 () (_ @t182 @t186))
% 0.96/1.17  (define @t188 () (forall (@list @t186) (_ @t187 tptp.nil_a)))
% 0.96/1.17  (define @t189 () (@list @t182 @t181 @t107))
% 0.96/1.17  (define @t190 () (= @t74 @t54))
% 0.96/1.17  (define @t191 () (@list @t74 @t54 @t73))
% 0.96/1.17  (define @t192 () (= @t58 @t70))
% 0.96/1.17  (define @t193 () (not @t192))
% 0.96/1.17  (define @t194 () (@list @t58 @t70 @t57))
% 0.96/1.17  (define @t195 () (@var "X3" tptp.list_list_a))
% 0.96/1.17  (define @t196 () (= @t195 tptp.nil_list_a))
% 0.96/1.17  (define @t197 () (not @t196))
% 0.96/1.17  (define @t198 () (@list @t195))
% 0.96/1.17  (define @t199 () (= @t130 @t185))
% 0.96/1.17  (define @t200 () (= @t130 @t124))
% 0.96/1.17  (define @t201 () (= @t130 tptp.nil_a))
% 0.96/1.17  (define @t202 () (@list @t130))
% 0.96/1.17  (define @t203 () (@var "Xss" tptp.list_list_list_a))
% 0.96/1.17  (define @t204 () (@var "X3" tptp.list_list_list_a))
% 0.96/1.17  (define @t205 () (_ tptp.cons_list_list_a tptp.nil_list_a))
% 0.96/1.17  (define @t206 () (@var "Xss" tptp.list_list_a))
% 0.96/1.17  (define @t207 () (_ tptp.cons_list_a tptp.nil_a))
% 0.96/1.17  (define @t208 () (_ @t131 tptp.nil_list_a))
% 0.96/1.17  (define @t209 () (_ @t135 tptp.nil_a))
% 0.96/1.17  (define @t210 () (@list @t134))
% 0.96/1.17  (define @t211 () (@var "P" (-> tptp.a Bool)))
% 0.96/1.17  (define @t212 () (@var "Xb" tptp.list_list_a))
% 0.96/1.17  (define @t213 () (@var "X3" (-> tptp.a tptp.list_a)))
% 0.96/1.17  (define @t214 () (_ tptp.map_ta41997947list_a @t213))
% 0.96/1.17  (define @t215 () (@var "Xa" tptp.list_a))
% 0.96/1.17  (define @t216 () (= @t215 @t153))
% 0.96/1.17  (define @t217 () (@list @t152 @t151))
% 0.96/1.17  (define @t218 () (not (= @t23 @t212)))
% 0.96/1.17  (define @t219 () (= @t215 tptp.nil_a))
% 0.96/1.17  (define @t220 () (@var "Xb" tptp.list_a))
% 0.96/1.17  (define @t221 () (@var "X3" (-> tptp.list_a tptp.a)))
% 0.96/1.17  (define @t222 () (_ tptp.map_ta2002079599st_a_a @t221))
% 0.96/1.17  (define @t223 () (@var "Xa" tptp.list_list_a))
% 0.96/1.17  (define @t224 () (= @t223 @t144))
% 0.96/1.17  (define @t225 () (@list @t143 @t142))
% 0.96/1.17  (define @t226 () (not (= @t26 @t220)))
% 0.96/1.17  (define @t227 () (= @t223 tptp.nil_list_a))
% 0.96/1.17  (define @t228 () (@var "X3" (-> tptp.list_a tptp.list_a)))
% 0.96/1.17  (define @t229 () (_ tptp.map_ta982122357list_a @t228))
% 0.96/1.17  (define @t230 () (@var "X3" (-> tptp.a tptp.a)))
% 0.96/1.17  (define @t231 () (_ tptp.map_tailrec_rev_a_a @t230))
% 0.96/1.17  (define @t232 () (@var "Less" (-> tptp.list_a tptp.list_a Bool)))
% 0.96/1.17  (define @t233 () (_ tptp.lexordp_eq_list_a @t232))
% 0.96/1.17  (define @t234 () (_ @t233 @t132))
% 0.96/1.17  (define @t235 () (@var "Less" (-> tptp.a tptp.a Bool)))
% 0.96/1.17  (define @t236 () (_ tptp.lexordp_eq_a @t235))
% 0.96/1.17  (define @t237 () (_ @t236 @t136))
% 0.96/1.17  (define @t238 () (@var "F" (-> tptp.a tptp.list_list_a)))
% 0.96/1.17  (define @t239 () (@list @t238))
% 0.96/1.17  (define @t240 () (@var "F" (-> tptp.list_a tptp.list_a)))
% 0.96/1.17  (define @t241 () (@list @t240))
% 0.96/1.17  (define @t242 () (@var "F" (-> tptp.list_a tptp.list_list_a)))
% 0.96/1.17  (define @t243 () (@list @t242))
% 0.96/1.17  (define @t244 () (@var "F" (-> tptp.a tptp.list_a)))
% 0.96/1.17  (define @t245 () (@list @t244))
% 0.96/1.17  (define @t246 () (@var "X23" tptp.list_list_a))
% 0.96/1.17  (define @t247 () (@var "X12" tptp.list_a))
% 0.96/1.17  (define @t248 () (@var "R" (-> tptp.a tptp.list_a Bool)))
% 0.96/1.17  (define @t249 () (_ tptp.listrelp_a_list_a @t248))
% 0.96/1.17  (define @t250 () (_ (_ @t249 @t57) @t53))
% 0.96/1.17  (define @t251 () (_ (_ @t248 @t58) @t54))
% 0.96/1.17  (define @t252 () (@var "X23" tptp.list_a))
% 0.96/1.17  (define @t253 () (@var "X12" tptp.list_list_a))
% 0.96/1.17  (define @t254 () (@var "R" (-> tptp.list_a tptp.a Bool)))
% 0.96/1.17  (define @t255 () (_ tptp.listrelp_list_a_a @t254))
% 0.96/1.17  (define @t256 () (_ (_ @t255 @t73) @t69))
% 0.96/1.17  (define @t257 () (_ (_ @t254 @t74) @t70))
% 0.96/1.17  (define @t258 () (_ (_ @t83 @t253) @t246))
% 0.96/1.17  (define @t259 () (@var "R" (-> tptp.list_a tptp.list_a Bool)))
% 0.96/1.17  (define @t260 () (_ tptp.listre1221556159list_a @t259))
% 0.96/1.17  (define @t261 () (_ (_ @t260 @t73) @t53))
% 0.96/1.17  (define @t262 () (_ (_ @t259 @t74) @t54))
% 0.96/1.17  (define @t263 () (@list @t74 @t54 @t73 @t53))
% 0.96/1.17  (define @t264 () (_ (_ @t91 @t247) @t252))
% 0.96/1.17  (define @t265 () (@var "R" (-> tptp.a tptp.a Bool)))
% 0.96/1.17  (define @t266 () (_ tptp.listrelp_a_a @t265))
% 0.96/1.17  (define @t267 () (_ (_ @t266 @t57) @t69))
% 0.96/1.17  (define @t268 () (_ (_ @t265 @t58) @t70))
% 0.96/1.17  (define @t269 () (@list @t58 @t70 @t57 @t69))
% 0.96/1.17  (define @t270 () (@var "Xs3" tptp.list_a))
% 0.96/1.17  (define @t271 () (@var "R2" (-> tptp.a tptp.list_a Bool)))
% 0.96/1.17  (define @t272 () (@var "X4" tptp.a))
% 0.96/1.17  (define @t273 () (@var "A22" tptp.list_list_a))
% 0.96/1.17  (define @t274 () (= @t273 @t39))
% 0.96/1.17  (define @t275 () (_ tptp.cons_a @t272))
% 0.96/1.17  (define @t276 () (@var "A12" tptp.list_a))
% 0.96/1.17  (define @t277 () (= @t276 (_ @t275 @t270)))
% 0.96/1.17  (define @t278 () (= @t273 tptp.nil_list_a))
% 0.96/1.17  (define @t279 () (= @t276 tptp.nil_a))
% 0.96/1.17  (define @t280 () (@var "Xs3" tptp.list_list_a))
% 0.96/1.17  (define @t281 () (@var "R2" (-> tptp.list_a tptp.a Bool)))
% 0.96/1.17  (define @t282 () (@var "X4" tptp.list_a))
% 0.96/1.17  (define @t283 () (@var "A22" tptp.list_a))
% 0.96/1.17  (define @t284 () (= @t283 @t46))
% 0.96/1.17  (define @t285 () (_ tptp.cons_list_a @t282))
% 0.96/1.17  (define @t286 () (@var "A12" tptp.list_list_a))
% 0.96/1.17  (define @t287 () (= @t286 (_ @t285 @t280)))
% 0.96/1.17  (define @t288 () (= @t283 tptp.nil_a))
% 0.96/1.17  (define @t289 () (= @t286 tptp.nil_list_a))
% 0.96/1.17  (define @t290 () (@var "R2" (-> tptp.list_a tptp.list_a Bool)))
% 0.96/1.17  (define @t291 () (@list @t282 @t38 @t280 @t37))
% 0.96/1.17  (define @t292 () (@var "R2" (-> tptp.a tptp.a Bool)))
% 0.96/1.17  (define @t293 () (@list @t272 @t45 @t270 @t44))
% 0.96/1.17  (define @t294 () (= @t147 @t56))
% 0.96/1.17  (define @t295 () (@list @t53))
% 0.96/1.17  (define @t296 () (= @t107 @t60))
% 0.96/1.17  (define @t297 () (not (= @t147 tptp.nil_list_a)))
% 0.96/1.17  (define @t298 () (= @t107 tptp.nil_a))
% 0.96/1.17  (define @t299 () (= @t138 @t72))
% 0.96/1.17  (define @t300 () (@list @t69))
% 0.96/1.17  (define @t301 () (= @t100 @t76))
% 0.96/1.17  (define @t302 () (not (= @t138 tptp.nil_a)))
% 0.96/1.17  (define @t303 () (= @t100 tptp.nil_list_a))
% 0.96/1.17  (define @t304 () (_ @t233 @t40))
% 0.96/1.17  (define @t305 () (_ @t304 @t51))
% 0.96/1.17  (define @t306 () (not (_ (_ @t232 @t26) @t130)))
% 0.96/1.17  (define @t307 () (_ (_ @t232 @t130) @t26))
% 0.96/1.17  (define @t308 () (_ tptp.cons_list_a @t26))
% 0.96/1.17  (define @t309 () (_ @t308 @t51))
% 0.96/1.17  (define @t310 () (_ @t234 @t309))
% 0.96/1.17  (define @t311 () (_ @t236 @t47))
% 0.96/1.17  (define @t312 () (_ @t311 @t67))
% 0.96/1.17  (define @t313 () (@var "Y" tptp.a))
% 0.96/1.17  (define @t314 () (not (_ (_ @t235 @t313) @t134)))
% 0.96/1.17  (define @t315 () (_ (_ @t235 @t134) @t313))
% 0.96/1.17  (define @t316 () (_ tptp.cons_a @t313))
% 0.96/1.17  (define @t317 () (_ @t316 @t67))
% 0.96/1.17  (define @t318 () (_ @t237 @t317))
% 0.96/1.17  (define @t319 () (@list @t235 @t47))
% 0.96/1.17  (define @t320 () (@var "A3" tptp.list_a))
% 0.96/1.17  (define @t321 () (@var "A3" tptp.a))
% 0.96/1.17  (define @t322 () (@var "A4" tptp.set_list_a))
% 0.96/1.17  (define @t323 () (@list @t282))
% 0.96/1.17  (define @t324 () (@var "A4" tptp.set_a))
% 0.96/1.17  (define @t325 () (@list @t272))
% 0.96/1.17  (define @t326 () (@list @t232 @t130 @t26 @t40 @t51))
% 0.96/1.17  (define @t327 () (@list @t235 @t134 @t313 @t47 @t67))
% 0.96/1.17  (define @t328 () (@var "Bs2" tptp.list_list_a))
% 0.96/1.17  (define @t329 () (@var "As2" tptp.list_a))
% 0.96/1.17  (define @t330 () (_ tptp.map_ta41997947list_a @t244))
% 0.96/1.17  (define @t331 () (_ (_ tptp.cons_a @t321) @t329))
% 0.96/1.17  (define @t332 () (@var "Bs2" tptp.list_a))
% 0.96/1.17  (define @t333 () (@var "F" (-> tptp.list_a tptp.a)))
% 0.96/1.17  (define @t334 () (@var "As2" tptp.list_list_a))
% 0.96/1.17  (define @t335 () (_ tptp.map_ta2002079599st_a_a @t333))
% 0.96/1.17  (define @t336 () (_ (_ tptp.cons_list_a @t320) @t334))
% 0.96/1.17  (define @t337 () (_ tptp.map_ta982122357list_a @t240))
% 0.96/1.17  (define @t338 () (@var "F" (-> tptp.a tptp.a)))
% 0.96/1.17  (define @t339 () (_ tptp.map_tailrec_rev_a_a @t338))
% 0.96/1.17  (define @t340 () (_ (_ @t233 @t73) @t53))
% 0.96/1.17  (define @t341 () (not (_ (_ @t232 @t54) @t74)))
% 0.96/1.17  (define @t342 () (_ (_ @t232 @t74) @t54))
% 0.96/1.17  (define @t343 () (not @t342))
% 0.96/1.17  (define @t344 () (_ (_ @t236 @t57) @t69))
% 0.96/1.17  (define @t345 () (not (_ (_ @t235 @t70) @t58)))
% 0.96/1.17  (define @t346 () (_ (_ @t235 @t58) @t70))
% 0.96/1.17  (define @t347 () (not @t346))
% 0.96/1.17  (define @t348 () (@var "Less2" (-> tptp.list_a tptp.list_a Bool)))
% 0.96/1.17  (define @t349 () (_ (_ @t348 @t282) @t38))
% 0.96/1.17  (define @t350 () (@var "Less2" (-> tptp.a tptp.a Bool)))
% 0.96/1.17  (define @t351 () (_ (_ @t350 @t272) @t45))
% 0.96/1.17  (define @t352 () (_ @t205 tptp.nil_list_list_a))
% 0.96/1.17  (define @t353 () (_ @t207 tptp.nil_list_a))
% 0.96/1.17  (define @t354 () (@var "Ys3" tptp.list_nat))
% 0.96/1.17  (define @t355 () (@var "Xs2" tptp.list_nat))
% 0.96/1.17  (define @t356 () (_ (_ tptp.ord_lexordp_eq_nat @t355) @t354))
% 0.96/1.17  (define @t357 () (@var "X" tptp.nat))
% 0.96/1.17  (define @t358 () (@var "Y3" tptp.nat))
% 0.96/1.17  (define @t359 () (not (_ (_ tptp.ord_less_nat @t358) @t357)))
% 0.96/1.17  (define @t360 () (_ tptp.ord_less_nat @t357))
% 0.96/1.17  (define @t361 () (_ @t360 @t358))
% 0.96/1.17  (define @t362 () (not @t361))
% 0.96/1.17  (define @t363 () (_ tptp.cons_nat @t358))
% 0.96/1.17  (define @t364 () (_ @t363 @t354))
% 0.96/1.17  (define @t365 () (@var "A2" tptp.list_nat))
% 0.96/1.17  (define @t366 () (= @t365 @t364))
% 0.96/1.17  (define @t367 () (@list @t354))
% 0.96/1.17  (define @t368 () (_ tptp.cons_nat @t357))
% 0.96/1.17  (define @t369 () (_ @t368 @t355))
% 0.96/1.17  (define @t370 () (@var "A1" tptp.list_nat))
% 0.96/1.17  (define @t371 () (= @t370 @t369))
% 0.96/1.17  (define @t372 () (@list @t357 @t358 @t355))
% 0.96/1.17  (define @t373 () (@list @t358))
% 0.96/1.17  (define @t374 () (@list @t357))
% 0.96/1.17  (define @t375 () (forall @t374 (=> (exists (@list @t355) @t371) (forall @t373 (=> (exists @t367 @t366) @t362)))))
% 0.96/1.17  (define @t376 () (= @t370 tptp.nil_nat))
% 0.96/1.17  (define @t377 () (@list @t370 @t365))
% 0.96/1.17  (define @t378 () (@var "Ys" tptp.list_nat))
% 0.96/1.17  (define @t379 () (@var "Xs3" tptp.list_nat))
% 0.96/1.17  (define @t380 () (@var "X4" tptp.nat))
% 0.96/1.17  (define @t381 () (@var "Y2" tptp.nat))
% 0.96/1.17  (define @t382 () (not (_ (_ tptp.ord_less_nat @t381) @t380)))
% 0.96/1.17  (define @t383 () (_ (_ tptp.ord_less_nat @t380) @t381))
% 0.96/1.17  (define @t384 () (not @t383))
% 0.96/1.17  (define @t385 () (@var "A22" tptp.list_nat))
% 0.96/1.17  (define @t386 () (= @t385 (_ (_ tptp.cons_nat @t381) @t378)))
% 0.96/1.17  (define @t387 () (_ tptp.cons_nat @t380))
% 0.96/1.17  (define @t388 () (@var "A12" tptp.list_nat))
% 0.96/1.17  (define @t389 () (= @t388 (_ @t387 @t379)))
% 0.96/1.17  (define @t390 () (@list @t380 @t381 @t379 @t378))
% 0.96/1.17  (define @t391 () (exists @t390 (and @t389 @t386 @t383)))
% 0.96/1.17  (define @t392 () (= @t388 tptp.nil_nat))
% 0.96/1.17  (define @t393 () (@list @t388 @t385))
% 0.96/1.17  (define @t394 () (@var "X23" tptp.list_nat))
% 0.96/1.17  (define @t395 () (@var "X12" tptp.list_nat))
% 0.96/1.17  (define @t396 () (@var "P" (-> tptp.list_nat tptp.list_nat Bool)))
% 0.96/1.17  (define @t397 () (_ (_ @t396 @t395) @t394))
% 0.96/1.17  (define @t398 () (_ @t396 @t369))
% 0.96/1.17  (define @t399 () (_ @t398 @t364))
% 0.96/1.17  (define @t400 () (_ (_ @t396 @t355) @t354))
% 0.96/1.17  (define @t401 () (=> @t400 @t399))
% 0.96/1.17  (define @t402 () (@list @t357 @t358 @t355 @t354))
% 0.96/1.17  (define @t403 () (=> @t361 @t399))
% 0.96/1.17  (define @t404 () (forall @t402 @t403))
% 0.96/1.17  (define @t405 () (@var "X_1" tptp.list_nat))
% 0.96/1.17  (define @t406 () (_ @t396 tptp.nil_nat))
% 0.96/1.17  (define @t407 () (@list @t395 @t394 @t396))
% 0.96/1.17  (define @t408 () (= @t130 @t26))
% 0.96/1.17  (define @t409 () (= @t134 @t313))
% 0.96/1.17  (define @t410 () (_ tptp.append_a (_ @t244 @t134)))
% 0.96/1.17  (define @t411 () (_ tptp.append_list_a (_ @t238 @t134)))
% 0.96/1.17  (define @t412 () (_ tptp.append_a (_ @t240 @t130)))
% 0.96/1.17  (define @t413 () (_ tptp.append_list_a (_ @t242 @t130)))
% 0.96/1.17  (define @t414 () (@var "Zs2" tptp.list_a))
% 0.96/1.17  (define @t415 () (= @t67 @t414))
% 0.96/1.17  (define @t416 () (_ tptp.append_a @t47))
% 0.96/1.17  (define @t417 () (_ @t416 @t67))
% 0.96/1.17  (define @t418 () (@list @t47 @t67 @t414))
% 0.96/1.17  (define @t419 () (@var "Zs2" tptp.list_list_a))
% 0.96/1.17  (define @t420 () (= @t51 @t419))
% 0.96/1.17  (define @t421 () (_ tptp.append_list_a @t40))
% 0.96/1.17  (define @t422 () (_ @t421 @t51))
% 0.96/1.17  (define @t423 () (@list @t40 @t51 @t419))
% 0.96/1.17  (define @t424 () (_ tptp.append_a @t414))
% 0.96/1.17  (define @t425 () (_ tptp.append_a @t67))
% 0.96/1.17  (define @t426 () (_ tptp.append_list_a @t419))
% 0.96/1.17  (define @t427 () (_ tptp.append_list_a @t51))
% 0.96/1.17  (define @t428 () (_ @t425 @t414))
% 0.96/1.17  (define @t429 () (_ @t427 @t419))
% 0.96/1.17  (define @t430 () (@var "C" tptp.list_a))
% 0.96/1.17  (define @t431 () (@var "B" tptp.list_a))
% 0.96/1.17  (define @t432 () (_ tptp.append_a @t320))
% 0.96/1.17  (define @t433 () (@var "C" tptp.list_list_a))
% 0.96/1.17  (define @t434 () (@var "B" tptp.list_list_a))
% 0.96/1.17  (define @t435 () (@var "A3" tptp.list_list_a))
% 0.96/1.17  (define @t436 () (_ tptp.append_list_a @t435))
% 0.96/1.17  (define @t437 () (@list @t435))
% 0.96/1.17  (define @t438 () (@list @t320))
% 0.96/1.17  (define @t439 () (= @t51 tptp.nil_list_a))
% 0.96/1.17  (define @t440 () (and @t41 @t439))
% 0.96/1.17  (define @t441 () (@list @t40 @t51))
% 0.96/1.17  (define @t442 () (= @t67 tptp.nil_a))
% 0.96/1.17  (define @t443 () (and @t48 @t442))
% 0.96/1.17  (define @t444 () (@list @t47 @t67))
% 0.96/1.17  (define @t445 () (@list @t51 @t40))
% 0.96/1.17  (define @t446 () (@list @t67 @t47))
% 0.96/1.17  (define @t447 () (_ tptp.splice_list_a @t40))
% 0.96/1.17  (define @t448 () (_ tptp.splice_a @t47))
% 0.96/1.17  (define @t449 () (_ (_ tptp.listIn1312259492pend_a @t47) (_ (_ tptp.listIn1312259492pend_a @t67) @t2)))
% 0.96/1.17  (define @t450 () (= @t449 (_ (_ tptp.listIn1312259492pend_a @t417) @t2)))
% 0.96/1.17  (define @t451 () (forall (@list @t47 @t67 @t2) @t450))
% 0.96/1.17  (define @t452 () (= @t40 @t51))
% 0.96/1.17  (define @t453 () (_ @t421 @t208))
% 0.96/1.17  (define @t454 () (= @t47 @t67))
% 0.96/1.17  (define @t455 () (_ @t316 tptp.nil_a))
% 0.96/1.17  (define @t456 () (_ @t425 @t455))
% 0.96/1.17  (define @t457 () (_ @t416 @t209))
% 0.96/1.17  (define @t458 () (@var "Ys2" tptp.list_nat))
% 0.96/1.17  (define @t459 () (@var "Xs" tptp.list_nat))
% 0.96/1.17  (define @t460 () (_ (_ tptp.ord_lexordp_eq_nat @t459) @t458))
% 0.96/1.17  (define @t461 () (@var "X3" tptp.nat))
% 0.96/1.17  (define @t462 () (@var "Y" tptp.nat))
% 0.96/1.17  (define @t463 () (not (_ (_ tptp.ord_less_nat @t462) @t461)))
% 0.96/1.17  (define @t464 () (_ (_ tptp.ord_less_nat @t461) @t462))
% 0.96/1.17  (define @t465 () (_ (_ tptp.cons_nat @t462) @t458))
% 0.96/1.17  (define @t466 () (_ (_ tptp.cons_nat @t461) @t459))
% 0.96/1.17  (define @t467 () (_ (_ tptp.ord_lexordp_eq_nat @t466) @t465))
% 0.96/1.17  (define @t468 () (@list @t461 @t459 @t462 @t458))
% 0.96/1.17  (define @t469 () (@var "Ts" tptp.list_a))
% 0.96/1.17  (define @t470 () (@var "Us" tptp.list_a))
% 0.96/1.17  (define @t471 () (_ tptp.append_a @t470))
% 0.96/1.17  (define @t472 () (@var "Ts" tptp.list_list_a))
% 0.96/1.17  (define @t473 () (@var "Us" tptp.list_list_a))
% 0.96/1.17  (define @t474 () (_ tptp.append_list_a @t473))
% 0.96/1.17  (define @t475 () (@var "Us2" tptp.list_a))
% 0.96/1.17  (define @t476 () (@var "Xs1" tptp.list_a))
% 0.96/1.17  (define @t477 () (_ tptp.append_a @t476))
% 0.96/1.17  (define @t478 () (@var "Us2" tptp.list_list_a))
% 0.96/1.17  (define @t479 () (@var "Xs1" tptp.list_list_a))
% 0.96/1.17  (define @t480 () (_ tptp.append_list_a @t479))
% 0.96/1.17  (define @t481 () (@list @t130 @t40 @t51))
% 0.96/1.17  (define @t482 () (@list @t134 @t47 @t67))
% 0.96/1.17  (define @t483 () (= @t132 @t429))
% 0.96/1.17  (define @t484 () (= @t136 @t428))
% 0.96/1.17  (define @t485 () (_ tptp.append_list_a tptp.nil_list_a))
% 0.96/1.17  (define @t486 () (_ tptp.append_a tptp.nil_a))
% 0.96/1.17  (define @t487 () (_ @t485 @t51))
% 0.96/1.17  (define @t488 () (@list @t51))
% 0.96/1.17  (define @t489 () (_ @t486 @t67))
% 0.96/1.17  (define @t490 () (@list @t67))
% 0.96/1.17  (define @t491 () (@var "V" tptp.list_list_a))
% 0.96/1.17  (define @t492 () (@var "U" tptp.list_list_a))
% 0.96/1.17  (define @t493 () (@var "V" tptp.list_a))
% 0.96/1.17  (define @t494 () (@var "U" tptp.list_a))
% 0.96/1.17  (define @t495 () (_ tptp.append_list_a @t73))
% 0.96/1.17  (define @t496 () (=> @t165 (_ @t29 (_ @t495 @t117))))
% 0.96/1.17  (define @t497 () (_ tptp.append_a @t57))
% 0.96/1.17  (define @t498 () (=> @t169 (_ @t33 (_ @t497 @t124))))
% 0.96/1.17  (define @t499 () (@var "Ys4" tptp.list_list_a))
% 0.96/1.17  (define @t500 () (_ (_ tptp.append_list_a @t499) @t419))
% 0.96/1.17  (define @t501 () (_ @t131 @t499))
% 0.96/1.17  (define @t502 () (@list @t499))
% 0.96/1.17  (define @t503 () (@var "Ys4" tptp.list_a))
% 0.96/1.17  (define @t504 () (_ (_ tptp.append_a @t503) @t414))
% 0.96/1.17  (define @t505 () (_ @t135 @t503))
% 0.96/1.17  (define @t506 () (@list @t503))
% 0.96/1.17  (define @t507 () (_ (_ tptp.append_a @t209) @t47))
% 0.96/1.17  (define @t508 () (forall @t137 (= @t507 @t136)))
% 0.96/1.17  (define @t509 () (@list @t461 @t462 @t459 @t458))
% 0.96/1.17  (define @t510 () (not @t464))
% 0.96/1.17  (define @t511 () (_ tptp.maps_a_a @t244))
% 0.96/1.17  (define @t512 () (_ tptp.maps_a_list_a @t238))
% 0.96/1.17  (define @t513 () (_ tptp.maps_list_a_a @t240))
% 0.96/1.17  (define @t514 () (_ tptp.maps_list_a_list_a @t242))
% 0.96/1.17  (define @t515 () (@var "Xss22" tptp.list_list_list_a))
% 0.96/1.17  (define @t516 () (@var "Xs4" tptp.list_list_a))
% 0.96/1.17  (define @t517 () (@var "Xss1" tptp.list_list_list_a))
% 0.96/1.17  (define @t518 () (@var "Xss2" tptp.list_list_list_a))
% 0.96/1.17  (define @t519 () (= @t518 tptp.nil_list_list_a))
% 0.96/1.17  (define @t520 () (not @t519))
% 0.96/1.17  (define @t521 () (= (_ tptp.concat_list_a @t518) @t429))
% 0.96/1.17  (define @t522 () (@list @t518 @t51 @t419))
% 0.96/1.17  (define @t523 () (@var "Xss22" tptp.list_list_a))
% 0.96/1.17  (define @t524 () (@var "Xs4" tptp.list_a))
% 0.96/1.17  (define @t525 () (@var "Xss1" tptp.list_list_a))
% 0.96/1.17  (define @t526 () (@var "Xss2" tptp.list_list_a))
% 0.96/1.17  (define @t527 () (= @t526 tptp.nil_list_a))
% 0.96/1.17  (define @t528 () (not @t527))
% 0.96/1.17  (define @t529 () (= (_ tptp.concat_a @t526) @t428))
% 0.96/1.17  (define @t530 () (@list @t526 @t67 @t414))
% 0.96/1.17  (define @t531 () (@list @t40 @t130))
% 0.96/1.17  (define @t532 () (@list @t47 @t134))
% 0.96/1.17  (define @t533 () (@var "Kl" tptp.list_list_a))
% 0.96/1.17  (define @t534 () (@var "Kl2" tptp.set_list_list_a))
% 0.96/1.17  (define @t535 () (_ tptp.bNF_Gr1046450207list_a @t534))
% 0.96/1.17  (define @t536 () (@var "K" tptp.list_a))
% 0.96/1.17  (define @t537 () (_ tptp.member_list_a2 @t536))
% 0.96/1.17  (define @t538 () (_ @t537 (_ @t535 @t533)))
% 0.96/1.17  (define @t539 () (_ tptp.cons_list_a @t536))
% 0.96/1.17  (define @t540 () (_ (_ tptp.member_list_list_a (_ (_ tptp.append_list_a @t533) (_ @t539 tptp.nil_list_a))) @t534))
% 0.96/1.17  (define @t541 () (@var "Kl" tptp.list_a))
% 0.96/1.17  (define @t542 () (@var "Kl2" tptp.set_list_a))
% 0.96/1.17  (define @t543 () (_ tptp.bNF_Greatest_Succ_a @t542))
% 0.96/1.17  (define @t544 () (@var "K" tptp.a))
% 0.96/1.17  (define @t545 () (_ tptp.member_a2 @t544))
% 0.96/1.17  (define @t546 () (_ @t545 (_ @t543 @t541)))
% 0.96/1.17  (define @t547 () (_ tptp.cons_a @t544))
% 0.96/1.17  (define @t548 () (_ (_ tptp.member_list_a2 (_ (_ tptp.append_a @t541) (_ @t547 tptp.nil_a))) @t542))
% 0.96/1.17  (define @t549 () (_ tptp.rotate1_list_a @t40))
% 0.96/1.17  (define @t550 () (_ tptp.rotate1_a @t47))
% 0.96/1.17  (define @t551 () (_ tptp.last_list_a @t40))
% 0.96/1.17  (define @t552 () (_ tptp.last_list_a @t422))
% 0.96/1.17  (define @t553 () (=> @t439 (= @t552 @t551)))
% 0.96/1.17  (define @t554 () (_ tptp.last_a @t47))
% 0.96/1.17  (define @t555 () (_ tptp.last_a @t417))
% 0.96/1.17  (define @t556 () (=> @t442 (= @t555 @t554)))
% 0.96/1.17  (define @t557 () (_ tptp.last_list_a @t51))
% 0.96/1.17  (define @t558 () (not @t439))
% 0.96/1.17  (define @t559 () (=> @t558 (= @t552 @t557)))
% 0.96/1.17  (define @t560 () (_ tptp.last_a @t67))
% 0.96/1.17  (define @t561 () (not @t442))
% 0.96/1.17  (define @t562 () (=> @t561 (= @t555 @t560)))
% 0.96/1.17  (define @t563 () (@var "Ys2" tptp.list_list_list_a))
% 0.96/1.17  (define @t564 () (@var "Xs" tptp.list_list_list_a))
% 0.96/1.17  (define @t565 () (_ tptp.concat_list_a @t564))
% 0.96/1.17  (define @t566 () (_ tptp.concat_a @t40))
% 0.96/1.17  (define @t567 () (_ tptp.butlast_list_a @t40))
% 0.96/1.17  (define @t568 () (_ tptp.butlast_a @t47))
% 0.96/1.17  (define @t569 () (_ tptp.butlast_list_a @t51))
% 0.96/1.17  (define @t570 () (_ tptp.butlast_a @t67))
% 0.96/1.17  (define @t571 () (_ tptp.last_list_a @t132))
% 0.96/1.17  (define @t572 () (=> @t42 (= @t571 @t551)))
% 0.96/1.17  (define @t573 () (=> @t41 (= @t571 @t130)))
% 0.96/1.17  (define @t574 () (_ tptp.last_a @t136))
% 0.96/1.17  (define @t575 () (=> @t49 (= @t574 @t554)))
% 0.96/1.17  (define @t576 () (=> @t48 (= @t574 @t134)))
% 0.96/1.17  (define @t577 () (@var "Ys5" tptp.list_list_a))
% 0.96/1.17  (define @t578 () (@var "Xs5" tptp.list_list_a))
% 0.96/1.17  (define @t579 () (= @t577 tptp.nil_list_a))
% 0.96/1.17  (define @t580 () (= @t578 tptp.nil_list_a))
% 0.96/1.17  (define @t581 () (@var "Ss" tptp.list_list_a))
% 0.96/1.17  (define @t582 () (_ tptp.append_list_a @t578))
% 0.96/1.17  (define @t583 () (@var "Ys5" tptp.list_a))
% 0.96/1.17  (define @t584 () (@var "Xs5" tptp.list_a))
% 0.96/1.17  (define @t585 () (= @t583 tptp.nil_a))
% 0.96/1.17  (define @t586 () (= @t584 tptp.nil_a))
% 0.96/1.17  (define @t587 () (@var "Ss" tptp.list_a))
% 0.96/1.17  (define @t588 () (_ tptp.append_a @t584))
% 0.96/1.17  (define @t589 () (_ tptp.butlast_list_a @t132))
% 0.96/1.17  (define @t590 () (_ tptp.butlast_a @t136))
% 0.96/1.17  (define @t591 () (_ tptp.butlast_list_a @t422))
% 0.96/1.17  (define @t592 () (_ tptp.butlast_a @t417))
% 0.96/1.17  (define @t593 () (@var "Xss23" tptp.list_list_list_a))
% 0.96/1.17  (define @t594 () (@var "Xss12" tptp.list_list_list_a))
% 0.96/1.17  (define @t595 () (@var "Xss23" tptp.list_list_a))
% 0.96/1.17  (define @t596 () (@var "Xss12" tptp.list_list_a))
% 0.96/1.17  (define @t597 () (_ (_ tptp.bNF_Gr1972240547list_a @t534) @t536))
% 0.96/1.17  (define @t598 () (_ tptp.member_list_list_a tptp.nil_list_a))
% 0.96/1.17  (define @t599 () (_ (_ tptp.bNF_Greatest_Shift_a @t542) @t544))
% 0.96/1.17  (define @t600 () (_ tptp.member_list_a2 tptp.nil_a))
% 0.96/1.17  (define @t601 () (_ @t539 @t533))
% 0.96/1.17  (define @t602 () (_ @t547 @t541))
% 0.96/1.17  (define @t603 () (@var "F" (-> tptp.list_a tptp.list_a tptp.list_a)))
% 0.96/1.17  (define @t604 () (_ tptp.foldr_list_a_list_a @t603))
% 0.96/1.17  (define @t605 () (@var "Us2" tptp.list_nat))
% 0.96/1.17  (define @t606 () (_ tptp.append_nat @t605))
% 0.96/1.17  (define @t607 () (_ tptp.ord_lexordp_nat @t459))
% 0.96/1.17  (define @t608 () (_ @t607 @t458))
% 0.96/1.17  (define @t609 () (_ (_ tptp.ord_lexordp_nat @t466) @t465))
% 0.96/1.17  (define @t610 () (_ tptp.hd_list_a @t40))
% 0.96/1.17  (define @t611 () (_ tptp.hd_list_a @t422))
% 0.96/1.17  (define @t612 () (=> @t42 (= @t611 @t610)))
% 0.96/1.17  (define @t613 () (_ tptp.hd_a @t47))
% 0.96/1.17  (define @t614 () (_ tptp.hd_a @t417))
% 0.96/1.17  (define @t615 () (=> @t49 (= @t614 @t613)))
% 0.96/1.17  (define @t616 () (_ tptp.hd_list_list_a @t564))
% 0.96/1.17  (define @t617 () (_ tptp.hd_list_a @t51))
% 0.96/1.17  (define @t618 () (_ tptp.hd_a @t67))
% 0.96/1.17  (define @t619 () (@var "Ps" tptp.list_list_a))
% 0.96/1.17  (define @t620 () (_ tptp.append_list_a @t619))
% 0.96/1.17  (define @t621 () (@var "Ps" tptp.list_a))
% 0.96/1.17  (define @t622 () (_ tptp.append_a @t621))
% 0.96/1.17  (define @t623 () (@var "Vs2" tptp.list_nat))
% 0.96/1.17  (define @t624 () (@var "A" tptp.nat))
% 0.96/1.17  (define @t625 () (_ tptp.append_nat @t459))
% 0.96/1.17  (define @t626 () (_ (_ tptp.ord_lexordp_nat @t355) @t354))
% 0.96/1.17  (define @t627 () (@list @t358 @t354))
% 0.96/1.17  (define @t628 () (forall @t627 (_ @t406 @t364)))
% 0.96/1.17  (define @t629 () (@var "Ys5" tptp.list_nat))
% 0.96/1.17  (define @t630 () (@var "Xs5" tptp.list_nat))
% 0.96/1.17  (define @t631 () (@list @t629))
% 0.96/1.17  (define @t632 () (= @t459 (_ @t368 @t630)))
% 0.96/1.17  (define @t633 () (= @t458 (_ @t363 @t629)))
% 0.96/1.17  (define @t634 () (_ tptp.distinct_adj_list_a @t51))
% 0.96/1.17  (define @t635 () (_ tptp.distinct_adj_list_a @t40))
% 0.96/1.17  (define @t636 () (_ tptp.distinct_adj_list_a @t422))
% 0.96/1.17  (define @t637 () (or @t48 @t442 (not (= @t554 @t618))))
% 0.96/1.17  (define @t638 () (_ tptp.distinct_adj_a @t67))
% 0.96/1.17  (define @t639 () (_ tptp.distinct_adj_a @t47))
% 0.96/1.17  (define @t640 () (_ tptp.distinct_adj_a @t417))
% 0.96/1.17  (define @t641 () (_ tptp.cons_list_a @t610))
% 0.96/1.17  (define @t642 () (_ tptp.tl_list_a @t40))
% 0.96/1.17  (define @t643 () (_ tptp.append_list_a @t642))
% 0.96/1.17  (define @t644 () (_ tptp.cons_a @t613))
% 0.96/1.17  (define @t645 () (_ tptp.tl_a @t47))
% 0.96/1.17  (define @t646 () (_ tptp.append_a @t645))
% 0.96/1.17  (define @t647 () (_ tptp.successively_list_a @t91))
% 0.96/1.17  (define @t648 () (@var "P" (-> tptp.a tptp.a Bool)))
% 0.96/1.17  (define @t649 () (_ tptp.successively_a @t648))
% 0.96/1.17  (define @t650 () (_ @t649 @t47))
% 0.96/1.17  (define @t651 () (_ @t308 @t40))
% 0.96/1.17  (define @t652 () (_ @t131 @t651))
% 0.96/1.17  (define @t653 () (_ @t316 @t47))
% 0.96/1.17  (define @t654 () (not @t409))
% 0.96/1.17  (define @t655 () (_ @t135 @t653))
% 0.96/1.17  (define @t656 () (@list @t134 @t313 @t47))
% 0.96/1.17  (define @t657 () (_ tptp.tl_list_a @t15))
% 0.96/1.17  (define @t658 () (_ tptp.hd_list_a @t15))
% 0.96/1.17  (define @t659 () (_ tptp.tl_a @t18))
% 0.96/1.17  (define @t660 () (_ tptp.hd_a @t18))
% 0.96/1.17  (define @t661 () (_ (_ tptp.cons_a @t660) @t659))
% 0.96/1.17  (define @t662 () (@list @t18))
% 0.96/1.17  (define @t663 () (@var "X3" (-> tptp.list_a tptp.list_a Bool)))
% 0.96/1.17  (define @t664 () (_ tptp.successively_list_a @t663))
% 0.96/1.17  (define @t665 () (and (_ (_ @t663 @t74) @t54) (_ @t664 @t175)))
% 0.96/1.17  (define @t666 () (= @t223 @t176))
% 0.96/1.17  (define @t667 () (_ @t664 @t223))
% 0.96/1.17  (define @t668 () (@list @t663 @t223))
% 0.96/1.17  (define @t669 () (@var "X3" (-> tptp.a tptp.a Bool)))
% 0.96/1.17  (define @t670 () (_ tptp.successively_a @t669))
% 0.96/1.17  (define @t671 () (and (_ (_ @t669 @t58) @t70) (_ @t670 @t184)))
% 0.96/1.17  (define @t672 () (= @t215 @t185))
% 0.96/1.17  (define @t673 () (_ @t670 @t215))
% 0.96/1.17  (define @t674 () (@list @t669 @t215))
% 0.96/1.17  (define @t675 () (_ @t648 @t134))
% 0.96/1.17  (define @t676 () (_ tptp.distinct_adj_a @t136))
% 0.96/1.17  (define @t677 () (or @t41 (exists @t323 (= @t40 (_ @t285 tptp.nil_list_a)))))
% 0.96/1.17  (define @t678 () (= @t642 tptp.nil_list_a))
% 0.96/1.17  (define @t679 () (or @t48 (exists @t325 (= @t47 (_ @t275 tptp.nil_a)))))
% 0.96/1.17  (define @t680 () (= @t645 tptp.nil_a))
% 0.96/1.17  (define @t681 () (@var "List2" tptp.list_list_a))
% 0.96/1.17  (define @t682 () (= @t681 tptp.nil_list_a))
% 0.96/1.17  (define @t683 () (@var "List2" tptp.list_a))
% 0.96/1.17  (define @t684 () (= @t683 tptp.nil_a))
% 0.96/1.17  (define @t685 () (not @t665))
% 0.96/1.17  (define @t686 () (@var "Y" Bool))
% 0.96/1.17  (define @t687 () (not @t686))
% 0.96/1.17  (define @t688 () (= @t223 @t117))
% 0.96/1.17  (define @t689 () (not @t671))
% 0.96/1.17  (define @t690 () (= @t215 @t124))
% 0.96/1.17  (define @t691 () (_ tptp.shuffles_a @t47))
% 0.96/1.17  (define @t692 () (_ tptp.member_list_a2 @t414))
% 0.96/1.17  (define @t693 () (@var "Z" tptp.a))
% 0.96/1.17  (define @t694 () (_ @t691 @t67))
% 0.96/1.17  (define @t695 () (_ tptp.cons_a @t693))
% 0.96/1.17  (define @t696 () (_ tptp.member_list_a2 (_ @t695 @t414)))
% 0.96/1.17  (define @t697 () (@var "F" (-> tptp.a tptp.a tptp.a)))
% 0.96/1.17  (define @t698 () (_ tptp.map2_a_a_a @t697))
% 0.96/1.17  (define @t699 () (_ @t698 @t47))
% 0.96/1.17  (define @t700 () (_ @t699 @t317))
% 0.96/1.17  (define @t701 () (=> @t49 (= @t700 (_ (_ tptp.cons_a (_ (_ @t697 @t613) @t313)) (_ (_ @t698 @t645) @t67)))))
% 0.96/1.17  (define @t702 () (@list @t47 @t697 @t313 @t67))
% 0.96/1.17  (define @t703 () (_ @t600 @t694))
% 0.96/1.17  (define @t704 () (@var "Zs3" tptp.list_a))
% 0.96/1.17  (define @t705 () (_ tptp.member_list_a2 @t704))
% 0.96/1.17  (define @t706 () (@var "Z2" tptp.a))
% 0.96/1.17  (define @t707 () (_ tptp.cons_a @t706))
% 0.96/1.17  (define @t708 () (= @t414 (_ @t707 @t704)))
% 0.96/1.17  (define @t709 () (@list @t706 @t704))
% 0.96/1.17  (define @t710 () (_ @t692 @t694))
% 0.96/1.17  (define @t711 () (_ @t699 @t67))
% 0.96/1.17  (define @t712 () (_ tptp.cons_a (_ (_ @t697 @t134) @t313)))
% 0.96/1.17  (define @t713 () (@list @t414 @t47 @t67 @t693))
% 0.96/1.17  (define @t714 () (_ tptp.remdups_adj_a @t47))
% 0.96/1.17  (define @t715 () (@var "Xs_2" tptp.list_a))
% 0.96/1.17  (define @t716 () (_ @t135 @t715))
% 0.96/1.17  (define @t717 () (@var "Xs_1" tptp.list_a))
% 0.96/1.17  (define @t718 () (_ tptp.append_a @t717))
% 0.96/1.17  (define @t719 () (_ tptp.remdups_adj_a @t136))
% 0.96/1.17  (define @t720 () (@list @t130 @t26))
% 0.96/1.17  (define @t721 () (_ tptp.remdups_adj_a @t655))
% 0.96/1.17  (define @t722 () (_ tptp.size_size_list_a @t67))
% 0.96/1.17  (define @t723 () (_ tptp.size_size_list_a @t47))
% 0.96/1.17  (define @t724 () (= @t723 @t722))
% 0.96/1.17  (define @t725 () (@var "N" tptp.nat))
% 0.96/1.17  (define @t726 () (_ tptp.size_size_list_a @t69))
% 0.96/1.17  (define @t727 () (= (_ tptp.size_size_list_a @t57) @t726))
% 0.96/1.17  (define @t728 () (@var "P" (-> tptp.list_a tptp.list_a tptp.list_a Bool)))
% 0.96/1.17  (define @t729 () (_ @t707 @t122))
% 0.96/1.17  (define @t730 () (_ tptp.size_size_list_a @t122))
% 0.96/1.17  (define @t731 () (= @t726 @t730))
% 0.96/1.17  (define @t732 () (_ tptp.size_size_list_a @t414))
% 0.96/1.17  (define @t733 () (= @t722 @t732))
% 0.96/1.17  (define @t734 () (@var "Ws2" tptp.list_a))
% 0.96/1.17  (define @t735 () (@var "P" (-> tptp.list_a tptp.list_a tptp.list_a tptp.list_a Bool)))
% 0.96/1.17  (define @t736 () (@var "Ws3" tptp.list_a))
% 0.96/1.17  (define @t737 () (@var "W" tptp.a))
% 0.96/1.17  (define @t738 () (@var "P" Bool))
% 0.96/1.17  (define @t739 () (_ (_ tptp.listIn1312259492pend_a tptp.xs) tptp.f))
% 0.96/1.17  (define @t740 () (_ tptp.cons_a tptp.x))
% 0.96/1.17  (define @t741 () (_ @t740 tptp.nil_a))
% 0.96/1.17  (define @t742 () (_ @t740 tptp.xs))
% 0.96/1.17  (define @t743 () (= (_ (_ tptp.listIn1312259492pend_a @t742) tptp.f) (_ (_ tptp.listIn1312259492pend_a @t741) @t739)))
% 0.96/1.17  (define @t744 () (not @t743))
% 0.96/1.17  (define @t745 () (@var "Xss3" tptp.list_list_list_a))
% 0.96/1.17  (define @t746 () (lambda (@list @t745) (_ (_ (_ tptp.foldr_769741863list_a tptp.append_list_a) @t745) tptp.nil_list_a)))
% 0.96/1.17  (define @t747 () (@var "Xss3" tptp.list_list_a))
% 0.96/1.17  (define @t748 () (lambda (@list @t747) (_ (_ (_ tptp.foldr_list_a_list_a tptp.append_a) @t747) tptp.nil_a)))
% 0.96/1.17  (define @t749 () (@var "Ws" tptp.list_nat))
% 0.96/1.17  (define @t750 () (@var "B2" tptp.nat))
% 0.96/1.17  (define @t751 () (@var "Us" tptp.list_nat))
% 0.96/1.17  (define @t752 () (_ tptp.append_nat @t751))
% 0.96/1.17  (define @t753 () (@var "Vs" tptp.list_nat))
% 0.96/1.17  (define @t754 () (@var "A5" tptp.nat))
% 0.96/1.17  (define @t755 () (lambda (@list @t379 @t378) (or (exists (@list @t380 @t753) (= @t378 (_ (_ tptp.append_nat @t379) (_ @t387 @t753)))) (exists (@list @t751 @t754 @t750 @t753 @t749) (and (_ (_ tptp.ord_less_nat @t754) @t750) (= @t379 (_ @t752 (_ (_ tptp.cons_nat @t754) @t753))) (= @t378 (_ @t752 (_ (_ tptp.cons_nat @t750) @t749))))))))
% 0.96/1.17  (define @t756 () (tptp.cons_a tptp.x tptp.xs))
% 0.96/1.17  (define @t757 () (_ (_ tptp.listIn1312259492pend_a @t756) tptp.f))
% 0.96/1.17  (define @t758 () (tptp.cons_a tptp.x tptp.nil_a))
% 0.96/1.17  (define @t759 () (_ (_ tptp.listIn1312259492pend_a @t758) @t739))
% 0.96/1.17  (define @t760 () (tptp.cons_a @t134 tptp.nil_a))
% 0.96/1.17  (define @t761 () (tptp.append_a @t760 @t47))
% 0.96/1.17  (define @t762 () (tptp.cons_a @t134 @t47))
% 0.96/1.17  (define @t763 () (= @t136 @t507))
% 0.96/1.17  (define @t764 () (tptp.append_a @t47 @t67))
% 0.96/1.17  (define @t765 () (tptp.append_a @t758 tptp.xs))
% 0.96/1.17  (define @t766 () (= @t759 (_ (_ tptp.listIn1312259492pend_a @t765) tptp.f)))
% 0.96/1.17  (define @t767 () (not @t766))
% 0.96/1.17  (define @t768 () (= @t756 @t765))
% 0.96/1.17  (define @t769 () (not @t768))
% 0.96/1.17  (define @t770 () (= @t759 @t757))
% 0.96/1.17  (define @t771 () (not @t770))
% 0.96/1.17  (define @t772 () (and @t767 @t766))
% 0.96/1.17  (assume @p1 (forall (@list @t1) (= (_ (_ tptp.listIn1753026346list_a tptp.nil_list_a) @t1) @t1)))
% 0.96/1.17  (assume @p2 (forall (@list @t2) (= (_ (_ tptp.listIn1312259492pend_a tptp.nil_a) @t2) @t2)))
% 0.96/1.17  (assume @p3 (forall (@list @t6 @t4 @t5 @t3) (= (= @t7 (_ (_ tptp.cons_list_a @t5) @t3)) (and (= @t6 @t5) (= @t4 @t3)))))
% 0.96/1.17  (assume @p4 (forall (@list @t11 @t9 @t10 @t8) (= (= @t12 (_ (_ tptp.cons_a @t10) @t8)) (and (= @t11 @t10) (= @t9 @t8)))))
% 0.96/1.17  (assume @p5 (forall @t13 (not (= tptp.nil_list_a @t7))))
% 0.96/1.17  (assume @p6 (forall @t14 (not (= tptp.nil_a @t12))))
% 0.96/1.17  (assume @p7 (forall (@list @t15 @t6 @t4) (=> (= @t15 @t7) @t17)))
% 0.96/1.17  (assume @p8 (forall (@list @t18 @t11 @t9) (=> (= @t18 @t12) @t20)))
% 0.96/1.17  (assume @p9 (forall (@list @t23) (=> (not (= @t23 tptp.nil_list_a)) (not (forall (@list @t22 @t21) (not (= @t23 (_ (_ tptp.cons_list_a @t22) @t21))))))))
% 0.96/1.17  (assume @p10 (forall @t28 (=> @t27 (not (forall (@list @t25 @t24) (not (= @t26 (_ (_ tptp.cons_a @t25) @t24))))))))
% 0.96/1.17  (assume @p11 (forall (@list @t29 @t15) (=> @t32 (=> (forall (@list @t31 @t30) (=> (_ @t29 @t30) (_ @t29 (_ (_ tptp.cons_list_a @t31) @t30)))) (_ @t29 @t15)))))
% 0.96/1.17  (assume @p12 (forall (@list @t33 @t18) (=> @t36 (=> (forall (@list @t35 @t34) (=> (_ @t33 @t34) (_ @t33 (_ (_ tptp.cons_a @t35) @t34)))) (_ @t33 @t18)))))
% 0.96/1.17  (assume @p13 (forall @t43 (= @t42 (exists (@list @t38 @t37) (= @t40 @t39)))))
% 0.96/1.17  (assume @p14 (forall @t50 (= @t49 (exists (@list @t45 @t44) (= @t47 @t46)))))
% 0.96/1.17  (assume @p15 (forall (@list @t52 @t47 @t51) (=> @t66 (=> (forall @t65 (_ @t61 tptp.nil_list_a)) (=> (forall @t64 (_ @t63 @t56)) (=> (forall (@list @t58 @t57 @t54 @t53) @t62) (_ (_ @t52 @t47) @t51)))))))
% 0.96/1.17  (assume @p16 (forall (@list @t68 @t40 @t67) (=> @t82 (=> (forall @t81 (_ @t77 tptp.nil_a)) (=> (forall @t80 (_ @t79 @t72)) (=> (forall (@list @t74 @t73 @t70 @t69) @t78) (_ (_ @t68 @t40) @t67)))))))
% 0.96/1.17  (assume @p17 (forall (@list @t83 @t40 @t51) (=> @t90 (=> (forall @t81 (_ @t84 tptp.nil_list_a)) (=> (forall @t64 (_ @t89 @t56)) (=> (forall @t88 @t87) (_ (_ @t83 @t40) @t51)))))))
% 0.96/1.17  (assume @p18 (forall (@list @t91 @t47 @t67) (=> @t99 (=> (forall @t65 (_ @t93 tptp.nil_a)) (=> (forall @t80 (_ @t98 @t72)) (=> (forall @t97 @t96) @t92))))))
% 0.96/1.17  (assume @p19 (forall @t106 (=> @t105 (=> (forall (@list @t74 @t73 @t53) (=> (_ (_ @t83 @t53) @t73) @t103)) @t102))))
% 0.96/1.17  (assume @p20 (forall @t113 (=> @t112 (=> (forall (@list @t58 @t57 @t69) (=> (_ (_ @t91 @t69) @t57) @t110)) @t109))))
% 0.96/1.17  (assume @p21 (forall @t120 (=> @t32 (=> @t119 (=> (forall (@list @t74 @t54 @t115) (=> (_ @t29 @t115) (=> (_ @t29 @t116) (_ @t29 (_ @t75 @t116))))) @t114)))))
% 0.96/1.17  (assume @p22 (forall @t127 (=> @t36 (=> @t126 (=> (forall (@list @t58 @t70 @t122) (=> (_ @t33 @t122) (=> (_ @t33 @t123) (_ @t33 (_ @t59 @t123))))) @t121)))))
% 0.96/1.17  (assume @p23 (forall @t106 (=> @t105 (=> (forall @t128 (_ @t86 tptp.nil_list_a)) (=> (forall @t88 (=> (_ @t86 @t56) (=> @t103 @t85))) @t102)))))
% 0.96/1.17  (assume @p24 (forall @t113 (=> @t112 (=> (forall @t129 (_ @t95 tptp.nil_a)) (=> (forall @t97 (=> (_ @t95 @t72) (=> @t110 @t94))) @t109)))))
% 0.96/1.17  (assume @p25 (forall @t133 (not (= @t132 @t40))))
% 0.96/1.17  (assume @p26 (forall @t137 (not (= @t136 @t47))))
% 0.96/1.17  (assume @p27 (forall (@list @t140 @t139 @t100 @t138) (=> (forall (@list @t145 @t111) (_ (_ @t146 tptp.nil_list_a) @t111)) (=> (forall (@list @t145 @t143 @t142 @t141) (=> (_ (_ @t146 @t142) (_ (_ tptp.cons_a (_ @t145 @t143)) @t141)) (_ (_ @t146 @t144) @t141))) (_ (_ (_ @t140 @t139) @t100) @t138)))))
% 0.96/1.17  (assume @p28 (forall (@list @t149 @t148 @t107 @t147) (=> (forall (@list @t154 @t104) (_ (_ @t155 tptp.nil_a) @t104)) (=> (forall (@list @t154 @t152 @t151 @t150) (=> (_ (_ @t155 @t151) (_ (_ tptp.cons_list_a (_ @t154 @t152)) @t150)) (_ (_ @t155 @t153) @t150))) (_ (_ (_ @t149 @t148) @t107) @t147)))))
% 0.96/1.17  (assume @p29 (forall (@list @t157 @t156 @t100 @t147) (=> (forall (@list @t158 @t104) (_ (_ @t159 tptp.nil_list_a) @t104)) (=> (forall (@list @t158 @t143 @t142 @t150) (=> (_ (_ @t159 @t142) (_ (_ tptp.cons_list_a (_ @t158 @t143)) @t150)) (_ (_ @t159 @t144) @t150))) (_ (_ (_ @t157 @t156) @t100) @t147)))))
% 0.96/1.17  (assume @p30 (forall (@list @t161 @t160 @t107 @t138) (=> (forall (@list @t162 @t111) (_ (_ @t163 tptp.nil_a) @t111)) (=> (forall (@list @t162 @t152 @t151 @t141) (=> (_ (_ @t163 @t151) (_ (_ tptp.cons_a (_ @t162 @t152)) @t141)) (_ (_ @t163 @t153) @t141))) (_ (_ (_ @t161 @t160) @t107) @t138)))))
% 0.96/1.17  (assume @p31 (forall @t167 (=> @t42 (=> @t119 (=> (forall @t81 (=> @t166 (=> @t165 @t164))) @t114)))))
% 0.96/1.17  (assume @p32 (forall @t171 (=> @t49 (=> @t126 (=> (forall @t65 (=> @t170 (=> @t169 @t168))) @t121)))))
% 0.96/1.17  (assume @p33 (forall @t180 (=> @t179 (=> (forall (@list @t177 @t74) (_ @t178 @t117)) (=> (forall (@list @t177 @t74 @t54 @t73) (=> (_ @t178 @t175) (_ @t178 @t176))) @t174)))))
% 0.96/1.17  (assume @p34 (forall @t189 (=> @t188 (=> (forall (@list @t186 @t58) (_ @t187 @t124)) (=> (forall (@list @t186 @t58 @t70 @t57) (=> (_ @t187 @t184) (_ @t187 @t185))) @t183)))))
% 0.96/1.17  (assume @p35 (forall (@list @t29 @t101) (=> @t32 (=> @t119 (=> (forall @t191 (=> (=> @t190 @t164) (=> (=> (not @t190) (_ @t29 @t175)) (_ @t29 @t176)))) (_ @t29 @t101))))))
% 0.96/1.17  (assume @p36 (forall (@list @t33 @t108) (=> @t36 (=> @t126 (=> (forall @t194 (=> (=> @t192 @t168) (=> (=> @t193 (_ @t33 @t184)) (_ @t33 @t185)))) (_ @t33 @t108))))))
% 0.96/1.17  (assume @p37 (forall @t180 (=> @t179 (=> (forall (@list @t177 @t74 @t53) (=> (_ @t178 @t53) (_ @t178 (_ @t75 @t53)))) @t174))))
% 0.96/1.17  (assume @p38 (forall @t189 (=> @t188 (=> (forall (@list @t186 @t58 @t69) (=> (_ @t187 @t69) (_ @t187 (_ @t59 @t69)))) @t183))))
% 0.96/1.17  (assume @p39 (forall @t198 (=> @t197 (=> (forall @t118 (not (= @t195 @t117))) (not (forall @t191 (not (= @t195 @t176))))))))
% 0.96/1.17  (assume @p40 (forall @t202 (=> (not @t201) (=> (forall @t125 (not @t200)) (not (forall @t194 (not @t199)))))))
% 0.96/1.17  (assume @p41 (forall (@list @t204) (=> (not (= @t204 tptp.nil_list_list_a)) (=> (forall (@list @t203) (not (= @t204 (_ @t205 @t203)))) (not (forall (@list @t74 @t73 @t203) (not (= @t204 (_ (_ tptp.cons_list_list_a @t76) @t203)))))))))
% 0.96/1.17  (assume @p42 (forall @t198 (=> @t197 (=> (forall (@list @t206) (not (= @t195 (_ @t207 @t206)))) (not (forall (@list @t58 @t57 @t206) (not (= @t195 (_ (_ tptp.cons_list_a @t60) @t206)))))))))
% 0.96/1.17  (assume @p43 (forall @t202 (= (_ (_ tptp.insert_list_a @t130) tptp.nil_list_a) @t208)))
% 0.96/1.17  (assume @p44 (forall @t210 (= (_ (_ tptp.insert_a @t134) tptp.nil_a) @t209)))
% 0.96/1.17  (assume @p45 (forall (@list @t33) (not (_ (_ tptp.list_ex1_list_a @t33) tptp.nil_list_a))))
% 0.96/1.17  (assume @p46 (forall (@list @t211) (not (_ (_ tptp.list_ex1_a @t211) tptp.nil_a))))
% 0.96/1.17  (assume @p47 (forall (@list @t213 @t215 @t212 @t23) (=> (= (_ (_ @t214 @t215) @t212) @t23) (=> (=> @t219 @t218) (not (forall @t217 (=> @t216 (not (= @t23 (_ (_ @t214 @t151) (_ (_ tptp.cons_list_a (_ @t213 @t152)) @t212)))))))))))
% 0.96/1.17  (assume @p48 (forall (@list @t221 @t223 @t220 @t26) (=> (= (_ (_ @t222 @t223) @t220) @t26) (=> (=> @t227 @t226) (not (forall @t225 (=> @t224 (not (= @t26 (_ (_ @t222 @t142) (_ (_ tptp.cons_a (_ @t221 @t143)) @t220)))))))))))
% 0.96/1.17  (assume @p49 (forall (@list @t228 @t223 @t212 @t23) (=> (= (_ (_ @t229 @t223) @t212) @t23) (=> (=> @t227 @t218) (not (forall @t225 (=> @t224 (not (= @t23 (_ (_ @t229 @t142) (_ (_ tptp.cons_list_a (_ @t228 @t143)) @t212)))))))))))
% 0.96/1.17  (assume @p50 (forall (@list @t230 @t215 @t220 @t26) (=> (= (_ (_ @t231 @t215) @t220) @t26) (=> (=> @t219 @t226) (not (forall @t217 (=> @t216 (not (= @t26 (_ (_ @t231 @t151) (_ (_ tptp.cons_a (_ @t230 @t152)) @t220)))))))))))
% 0.96/1.17  (assume @p51 (forall (@list @t232 @t130 @t40) (not (_ @t234 tptp.nil_list_a))))
% 0.96/1.17  (assume @p52 (forall (@list @t235 @t134 @t47) (not (_ @t237 tptp.nil_a))))
% 0.96/1.17  (assume @p53 (forall @t239 (= (_ (_ tptp.bind_a_list_a tptp.nil_a) @t238) tptp.nil_list_a)))
% 0.96/1.17  (assume @p54 (forall @t241 (= (_ (_ tptp.bind_list_a_a tptp.nil_list_a) @t240) tptp.nil_a)))
% 0.96/1.17  (assume @p55 (forall @t243 (= (_ (_ tptp.bind_list_a_list_a tptp.nil_list_a) @t242) tptp.nil_list_a)))
% 0.96/1.17  (assume @p56 (forall @t245 (= (_ (_ tptp.bind_a_a tptp.nil_a) @t244) tptp.nil_a)))
% 0.96/1.17  (assume @p57 (forall (@list @t248 @t247 @t246 @t52) (=> (_ (_ @t249 @t247) @t246) (=> @t66 (=> (forall (@list @t58 @t54 @t57 @t53) (=> @t251 (=> @t250 @t62))) (_ (_ @t52 @t247) @t246))))))
% 0.96/1.17  (assume @p58 (forall (@list @t254 @t253 @t252 @t68) (=> (_ (_ @t255 @t253) @t252) (=> @t82 (=> (forall (@list @t74 @t70 @t73 @t69) (=> @t257 (=> @t256 @t78))) (_ (_ @t68 @t253) @t252))))))
% 0.96/1.17  (assume @p59 (forall (@list @t259 @t253 @t246 @t83) (=> (_ (_ @t260 @t253) @t246) (=> @t90 (=> (forall @t263 (=> @t262 (=> @t261 @t87))) @t258)))))
% 0.96/1.17  (assume @p60 (forall (@list @t265 @t247 @t252 @t91) (=> (_ (_ @t266 @t247) @t252) (=> @t99 (=> (forall @t269 (=> @t268 (=> @t267 @t96))) @t264)))))
% 0.96/1.17  (assume @p61 (= tptp.listrelp_a_list_a (lambda (@list @t271 @t276 @t273) (or (and @t279 @t278) (exists (@list @t272 @t38 @t270 @t37) (and @t277 @t274 (_ (_ @t271 @t272) @t38) (_ (_ (_ tptp.listrelp_a_list_a @t271) @t270) @t37)))))))
% 0.96/1.17  (assume @p62 (= tptp.listrelp_list_a_a (lambda (@list @t281 @t286 @t283) (or (and @t289 @t288) (exists (@list @t282 @t45 @t280 @t44) (and @t287 @t284 (_ (_ @t281 @t282) @t45) (_ (_ (_ tptp.listrelp_list_a_a @t281) @t280) @t44)))))))
% 0.96/1.17  (assume @p63 (= tptp.listre1221556159list_a (lambda (@list @t290 @t286 @t273) (or (and @t289 @t278) (exists @t291 (and @t287 @t274 (_ (_ @t290 @t282) @t38) (_ (_ (_ tptp.listre1221556159list_a @t290) @t280) @t37)))))))
% 0.96/1.17  (assume @p64 (= tptp.listrelp_a_a (lambda (@list @t292 @t276 @t283) (or (and @t279 @t288) (exists @t293 (and @t277 @t284 (_ (_ @t292 @t272) @t45) (_ (_ (_ tptp.listrelp_a_a @t292) @t270) @t44)))))))
% 0.96/1.17  (assume @p65 (forall (@list @t248 @t107 @t147) (=> (_ (_ @t249 @t107) @t147) (=> (=> @t298 @t297) (not (forall (@list @t58 @t54 @t57) (=> @t296 (forall @t295 (=> @t294 (=> @t251 (not @t250)))))))))))
% 0.96/1.17  (assume @p66 (forall (@list @t254 @t100 @t138) (=> (_ (_ @t255 @t100) @t138) (=> (=> @t303 @t302) (not (forall (@list @t74 @t70 @t73) (=> @t301 (forall @t300 (=> @t299 (=> @t257 (not @t256)))))))))))
% 0.96/1.17  (assume @p67 (forall (@list @t259 @t100 @t147) (=> (_ (_ @t260 @t100) @t147) (=> (=> @t303 @t297) (not (forall @t191 (=> @t301 (forall @t295 (=> @t294 (=> @t262 (not @t261)))))))))))
% 0.96/1.17  (assume @p68 (forall (@list @t265 @t107 @t138) (=> (_ (_ @t266 @t107) @t138) (=> (=> @t298 @t302) (not (forall @t194 (=> @t296 (forall @t300 (=> @t299 (=> @t268 (not @t267)))))))))))
% 0.96/1.17  (assume @p69 (forall (@list @t232 @t130 @t40 @t26 @t51) (= @t310 (or @t307 (and @t306 @t305)))))
% 0.96/1.17  (assume @p70 (forall (@list @t235 @t134 @t47 @t313 @t67) (= @t318 (or @t315 (and @t314 @t312)))))
% 0.96/1.17  (assume @p71 (forall (@list @t232 @t40) (= (_ @t304 tptp.nil_list_a) @t41)))
% 0.96/1.17  (assume @p72 (forall @t319 (= (_ @t311 tptp.nil_a) @t48)))
% 0.96/1.17  (assume @p73 (forall (@list @t232 @t51) (_ (_ @t233 tptp.nil_list_a) @t51)))
% 0.96/1.17  (assume @p74 (forall (@list @t235 @t67) (_ (_ @t236 tptp.nil_a) @t67)))
% 0.96/1.17  (assume @p75 (= tptp.lexordp_eq_a tptp.lexordp_eq_a))
% 0.96/1.17  (assume @p76 (forall @t319 (_ @t311 @t47)))
% 0.96/1.17  (assume @p77 (forall (@list @t320 @t33) (= (_ (_ tptp.member_list_a2 @t320) (_ tptp.collect_list_a @t33)) (_ @t33 @t320))))
% 0.96/1.17  (assume @p78 (forall (@list @t321 @t211) (= (_ (_ tptp.member_a2 @t321) (_ tptp.collect_a @t211)) (_ @t211 @t321))))
% 0.96/1.17  (assume @p79 (forall (@list @t322) (= (_ tptp.collect_list_a (lambda @t323 (_ (_ tptp.member_list_a2 @t282) @t322))) @t322)))
% 0.96/1.17  (assume @p80 (forall (@list @t324) (= (_ tptp.collect_a (lambda @t325 (_ (_ tptp.member_a2 @t272) @t324))) @t324)))
% 0.96/1.17  (assume @p81 (forall @t326 (=> @t307 @t310)))
% 0.96/1.17  (assume @p82 (forall @t327 (=> @t315 @t318)))
% 0.96/1.17  (assume @p83 (forall @t326 (=> (not @t307) (=> @t306 (=> @t305 @t310)))))
% 0.96/1.17  (assume @p84 (forall @t327 (=> (not @t315) (=> @t314 (=> @t312 @t318)))))
% 0.96/1.17  (assume @p85 (forall (@list @t248 @t134 @t26 @t47 @t51) (=> (_ (_ @t248 @t134) @t26) (=> (_ (_ @t249 @t47) @t51) (_ (_ @t249 @t136) @t309)))))
% 0.96/1.17  (assume @p86 (forall (@list @t254 @t130 @t313 @t40 @t67) (=> (_ (_ @t254 @t130) @t313) (=> (_ (_ @t255 @t40) @t67) (_ (_ @t255 @t132) @t317)))))
% 0.96/1.17  (assume @p87 (forall (@list @t259 @t130 @t26 @t40 @t51) (=> (_ (_ @t259 @t130) @t26) (=> (_ (_ @t260 @t40) @t51) (_ (_ @t260 @t132) @t309)))))
% 0.96/1.17  (assume @p88 (forall (@list @t265 @t134 @t313 @t47 @t67) (=> (_ (_ @t265 @t134) @t313) (=> (_ (_ @t266 @t47) @t67) (_ (_ @t266 @t136) @t317)))))
% 0.96/1.17  (assume @p89 (forall (@list @t248) (_ (_ @t249 tptp.nil_a) tptp.nil_list_a)))
% 0.96/1.17  (assume @p90 (forall (@list @t254) (_ (_ @t255 tptp.nil_list_a) tptp.nil_a)))
% 0.96/1.17  (assume @p91 (forall (@list @t259) (_ (_ @t260 tptp.nil_list_a) tptp.nil_list_a)))
% 0.96/1.17  (assume @p92 (forall (@list @t265) (_ (_ @t266 tptp.nil_a) tptp.nil_a)))
% 0.96/1.17  (assume @p93 (forall (@list @t244 @t321 @t329 @t328) (= (_ (_ @t330 @t331) @t328) (_ (_ @t330 @t329) (_ (_ tptp.cons_list_a (_ @t244 @t321)) @t328)))))
% 0.96/1.17  (assume @p94 (forall (@list @t333 @t320 @t334 @t332) (= (_ (_ @t335 @t336) @t332) (_ (_ @t335 @t334) (_ (_ tptp.cons_a (_ @t333 @t320)) @t332)))))
% 0.96/1.17  (assume @p95 (forall (@list @t240 @t320 @t334 @t328) (= (_ (_ @t337 @t336) @t328) (_ (_ @t337 @t334) (_ (_ tptp.cons_list_a (_ @t240 @t320)) @t328)))))
% 0.96/1.17  (assume @p96 (forall (@list @t338 @t321 @t329 @t332) (= (_ (_ @t339 @t331) @t332) (_ (_ @t339 @t329) (_ (_ tptp.cons_a (_ @t338 @t321)) @t332)))))
% 0.96/1.17  (assume @p97 (forall (@list @t338 @t332) (= (_ (_ @t339 tptp.nil_a) @t332) @t332)))
% 0.96/1.17  (assume @p98 (forall (@list @t232 @t100 @t147) (=> (_ (_ @t233 @t100) @t147) (=> (not @t303) (=> (forall @t118 (=> (exists @t128 @t301) (forall (@list @t54) (=> (exists @t295 @t294) @t343)))) (not (forall @t191 (=> @t301 (forall @t295 (=> @t294 (=> @t343 (=> @t341 (not @t340)))))))))))))
% 0.96/1.17  (assume @p99 (forall (@list @t235 @t107 @t138) (=> (_ (_ @t236 @t107) @t138) (=> (not @t298) (=> (forall @t125 (=> (exists @t129 @t296) (forall (@list @t70) (=> (exists @t300 @t299) @t347)))) (not (forall @t194 (=> @t296 (forall @t300 (=> @t299 (=> @t347 (=> @t345 (not @t344)))))))))))))
% 0.96/1.17  (assume @p100 (= tptp.lexordp_eq_list_a (lambda (@list @t348 @t286 @t273) (or (exists (@list @t37) (and @t289 (= @t273 @t37))) (exists @t291 (and @t287 @t274 @t349)) (exists @t291 (and @t287 @t274 (not @t349) (not (_ (_ @t348 @t38) @t282)) (_ (_ (_ tptp.lexordp_eq_list_a @t348) @t280) @t37)))))))
% 0.96/1.17  (assume @p101 (= tptp.lexordp_eq_a (lambda (@list @t350 @t276 @t283) (or (exists (@list @t44) (and @t279 (= @t283 @t44))) (exists @t293 (and @t277 @t284 @t351)) (exists @t293 (and @t277 @t284 (not @t351) (not (_ (_ @t350 @t45) @t272)) (_ (_ (_ tptp.lexordp_eq_a @t350) @t270) @t44)))))))
% 0.96/1.17  (assume @p102 (forall (@list @t232 @t253 @t246 @t83) (=> (_ (_ @t233 @t253) @t246) (=> @t105 (=> (forall @t263 (=> @t342 @t85)) (=> (forall @t263 (=> @t343 (=> @t341 (=> @t340 @t87)))) @t258))))))
% 0.96/1.17  (assume @p103 (forall (@list @t235 @t247 @t252 @t91) (=> (_ (_ @t236 @t247) @t252) (=> @t112 (=> (forall @t269 (=> @t346 @t94)) (=> (forall @t269 (=> @t347 (=> @t345 (=> @t344 @t96)))) @t264))))))
% 0.96/1.17  (assume @p104 (= (_ tptp.product_lists_list_a tptp.nil_list_list_a) @t352))
% 0.96/1.17  (assume @p105 (= (_ tptp.product_lists_a tptp.nil_list_a) @t353))
% 0.96/1.17  (assume @p106 (= (_ tptp.subseqs_list_a tptp.nil_list_a) @t352))
% 0.96/1.17  (assume @p107 (= (_ tptp.subseqs_a tptp.nil_a) @t353))
% 0.96/1.17  (assume @p108 (forall @t377 (=> (_ (_ tptp.ord_lexordp_eq_nat @t370) @t365) (=> (not @t376) (=> @t375 (not (forall @t372 (=> @t371 (forall @t367 (=> @t366 (=> @t362 (=> @t359 (not @t356)))))))))))))
% 0.96/1.17  (assume @p109 (= tptp.ord_lexordp_eq_nat (lambda @t393 (or (exists (@list @t378) (and @t392 (= @t385 @t378))) @t391 (exists @t390 (and @t389 @t386 @t384 @t382 (_ (_ tptp.ord_lexordp_eq_nat @t379) @t378)))))))
% 0.96/1.17  (assume @p110 (forall @t407 (=> (_ (_ tptp.ord_lexordp_eq_nat @t395) @t394) (=> (forall (@list @t405) (_ @t406 @t405)) (=> @t404 (=> (forall @t402 (=> @t362 (=> @t359 (=> @t356 @t401)))) @t397))))))
% 0.96/1.17  (assume @p111 (forall @t28 (not (_ (_ tptp.member_list_a tptp.nil_list_a) @t26))))
% 0.96/1.17  (assume @p112 (forall (@list @t313) (not (_ (_ tptp.member_a tptp.nil_a) @t313))))
% 0.96/1.17  (assume @p113 (forall (@list @t130 @t40 @t26) (= (_ (_ tptp.member_list_a @t132) @t26) (or @t408 (_ (_ tptp.member_list_a @t40) @t26)))))
% 0.96/1.17  (assume @p114 (forall (@list @t134 @t47 @t313) (= (_ (_ tptp.member_a @t136) @t313) (or @t409 (_ (_ tptp.member_a @t47) @t313)))))
% 0.96/1.17  (assume @p115 (forall (@list @t195 @t223 @t23) (=> (= (_ (_ tptp.splice_list_a @t195) @t223) @t23) (=> (=> @t196 (not (= @t23 @t223))) (not (forall @t81 (=> (= @t195 @t76) (not (= @t23 (_ @t75 (_ (_ tptp.splice_list_a @t223) @t73)))))))))))
% 0.96/1.17  (assume @p116 (forall (@list @t130 @t215 @t26) (=> (= (_ (_ tptp.splice_a @t130) @t215) @t26) (=> (=> @t201 (not (= @t26 @t215))) (not (forall @t65 (=> (= @t130 @t60) (not (= @t26 (_ @t59 (_ (_ tptp.splice_a @t215) @t57)))))))))))
% 0.96/1.17  (assume @p117 (forall (@list @t134 @t47 @t244) (= (_ (_ tptp.bind_a_a @t136) @t244) (_ @t410 (_ (_ tptp.bind_a_a @t47) @t244)))))
% 0.96/1.17  (assume @p118 (forall (@list @t134 @t47 @t238) (= (_ (_ tptp.bind_a_list_a @t136) @t238) (_ @t411 (_ (_ tptp.bind_a_list_a @t47) @t238)))))
% 0.96/1.17  (assume @p119 (forall (@list @t130 @t40 @t240) (= (_ (_ tptp.bind_list_a_a @t132) @t240) (_ @t412 (_ (_ tptp.bind_list_a_a @t40) @t240)))))
% 0.96/1.17  (assume @p120 (forall (@list @t130 @t40 @t242) (= (_ (_ tptp.bind_list_a_list_a @t132) @t242) (_ @t413 (_ (_ tptp.bind_list_a_list_a @t40) @t242)))))
% 0.96/1.17  (assume @p121 (forall @t418 (= (= @t417 (_ @t416 @t414)) @t415)))
% 0.96/1.17  (assume @p122 (forall @t423 (= (= @t422 (_ @t421 @t419)) @t420)))
% 0.96/1.17  (assume @p123 (forall (@list @t67 @t47 @t414) (= (= (_ @t425 @t47) (_ @t424 @t47)) @t415)))
% 0.96/1.17  (assume @p124 (forall (@list @t51 @t40 @t419) (= (= (_ @t427 @t40) (_ @t426 @t40)) @t420)))
% 0.96/1.17  (assume @p125 (forall @t418 (= (_ (_ tptp.append_a @t417) @t414) (_ @t416 @t428))))
% 0.96/1.17  (assume @p126 (forall @t423 (= (_ (_ tptp.append_list_a @t422) @t419) (_ @t421 @t429))))
% 0.96/1.17  (assume @p127 (forall (@list @t320 @t431 @t430) (= (_ (_ tptp.append_a (_ @t432 @t431)) @t430) (_ @t432 (_ (_ tptp.append_a @t431) @t430)))))
% 0.96/1.17  (assume @p128 (forall (@list @t435 @t434 @t433) (= (_ (_ tptp.append_list_a (_ @t436 @t434)) @t433) (_ @t436 (_ (_ tptp.append_list_a @t434) @t433)))))
% 0.96/1.17  (assume @p129 (forall @t437 (= (_ @t436 tptp.nil_list_a) @t435)))
% 0.96/1.17  (assume @p130 (forall @t438 (= (_ @t432 tptp.nil_a) @t320)))
% 0.96/1.17  (assume @p131 (forall @t441 (= (= @t422 tptp.nil_list_a) @t440)))
% 0.96/1.17  (assume @p132 (forall @t444 (= (= @t417 tptp.nil_a) @t443)))
% 0.96/1.17  (assume @p133 (forall @t441 (= (= tptp.nil_list_a @t422) @t440)))
% 0.96/1.17  (assume @p134 (forall @t444 (= (= tptp.nil_a @t417) @t443)))
% 0.96/1.17  (assume @p135 (forall @t445 (= (= @t51 @t422) @t41)))
% 0.96/1.17  (assume @p136 (forall @t446 (= (= @t67 @t417) @t48)))
% 0.96/1.17  (assume @p137 (forall @t441 (= (= @t422 @t51) @t41)))
% 0.96/1.17  (assume @p138 (forall @t444 (= (= @t417 @t67) @t48)))
% 0.96/1.17  (assume @p139 (forall @t441 (= (= @t40 @t422) @t439)))
% 0.96/1.17  (assume @p140 (forall @t444 (= (= @t47 @t417) @t442)))
% 0.96/1.17  (assume @p141 (forall @t441 (= (= @t422 @t40) @t439)))
% 0.96/1.17  (assume @p142 (forall @t444 (= (= @t417 @t47) @t442)))
% 0.96/1.17  (assume @p143 (forall @t43 (= (_ @t421 tptp.nil_list_a) @t40)))
% 0.96/1.17  (assume @p144 (forall @t50 (= (_ @t416 tptp.nil_a) @t47)))
% 0.96/1.17  (assume @p145 (forall @t441 (= (= (_ @t447 @t51) tptp.nil_list_a) @t440)))
% 0.96/1.17  (assume @p146 (forall @t444 (= (= (_ @t448 @t67) tptp.nil_a) @t443)))
% 0.96/1.17  (assume @p147 (forall @t43 (= (_ @t447 tptp.nil_list_a) @t40)))
% 0.96/1.17  (assume @p148 (forall @t50 (= (_ @t448 tptp.nil_a) @t47)))
% 0.96/1.17  (assume @p149 (forall (@list @t40 @t51 @t1) (= (_ (_ tptp.listIn1753026346list_a @t40) (_ (_ tptp.listIn1753026346list_a @t51) @t1)) (_ (_ tptp.listIn1753026346list_a @t422) @t1))))
% 0.96/1.17  (assume @p150 @t451)
% 0.96/1.17  (assume @p151 (forall (@list @t40 @t130 @t51 @t26) (= (= @t453 (_ @t427 (_ @t308 tptp.nil_list_a))) (and @t452 @t408))))
% 0.96/1.17  (assume @p152 (forall (@list @t47 @t134 @t67 @t313) (= (= @t457 @t456) (and @t454 @t409))))
% 0.96/1.17  (assume @p153 (forall @t468 (= @t467 (or @t464 (and @t463 @t460)))))
% 0.96/1.17  (assume @p154 (forall (@list @t47 @t67 @t414 @t469) (= (= @t417 (_ @t424 @t469)) (exists (@list @t470) (or (and (= @t47 (_ @t424 @t470)) (= (_ @t471 @t67) @t469)) (and (= (_ @t416 @t470) @t414) (= @t67 (_ @t471 @t469))))))))
% 0.96/1.17  (assume @p155 (forall (@list @t40 @t51 @t419 @t472) (= (= @t422 (_ @t426 @t472)) (exists (@list @t473) (or (and (= @t40 (_ @t426 @t473)) (= (_ @t474 @t51) @t472)) (and (= (_ @t421 @t473) @t419) (= @t51 (_ @t474 @t472))))))))
% 0.96/1.17  (assume @p156 (forall (@list @t47 @t476 @t414 @t67 @t475) (=> (= (_ @t416 @t476) @t414) (=> (= @t67 (_ @t477 @t475)) (= @t417 (_ @t424 @t475))))))
% 0.96/1.17  (assume @p157 (forall (@list @t40 @t479 @t419 @t51 @t478) (=> (= (_ @t421 @t479) @t419) (=> (= @t51 (_ @t480 @t478)) (= @t422 (_ @t426 @t478))))))
% 0.96/1.17  (assume @p158 (forall @t481 (= (_ (_ tptp.append_list_a @t132) @t51) (_ @t131 @t422))))
% 0.96/1.17  (assume @p159 (forall @t482 (= (_ (_ tptp.append_a @t136) @t67) (_ @t135 @t417))))
% 0.96/1.17  (assume @p160 (forall (@list @t130 @t479 @t51 @t40 @t419) (=> (= (_ @t131 @t479) @t51) (=> (= @t40 (_ @t480 @t419)) @t483))))
% 0.96/1.17  (assume @p161 (forall (@list @t134 @t476 @t67 @t47 @t414) (=> (= (_ @t135 @t476) @t67) (=> (= @t47 (_ @t477 @t414)) @t484))))
% 0.96/1.17  (assume @p162 (forall @t437 (= (_ @t485 @t435) @t435)))
% 0.96/1.17  (assume @p163 (forall @t438 (= (_ @t486 @t320) @t320)))
% 0.96/1.17  (assume @p164 (forall @t488 (= @t487 @t51)))
% 0.96/1.17  (assume @p165 (forall @t490 (= @t489 @t67)))
% 0.96/1.17  (assume @p166 (forall @t441 (=> @t452 (= @t40 @t487))))
% 0.96/1.17  (assume @p167 (forall @t444 (=> @t454 (= @t47 @t489))))
% 0.96/1.17  (assume @p168 (forall (@list @t232 @t492 @t491) (_ (_ @t233 @t492) (_ (_ tptp.append_list_a @t492) @t491))))
% 0.96/1.17  (assume @p169 (forall (@list @t235 @t494 @t493) (_ (_ @t236 @t494) (_ (_ tptp.append_a @t494) @t493))))
% 0.96/1.17  (assume @p170 (forall @t481 (= (_ (_ tptp.splice_list_a @t132) @t51) (_ @t131 (_ (_ tptp.splice_list_a @t51) @t40)))))
% 0.96/1.17  (assume @p171 (forall @t482 (= (_ (_ tptp.splice_a @t136) @t67) (_ @t135 (_ (_ tptp.splice_a @t67) @t47)))))
% 0.96/1.17  (assume @p172 (forall @t488 (= (_ (_ tptp.splice_list_a tptp.nil_list_a) @t51) @t51)))
% 0.96/1.17  (assume @p173 (forall @t490 (= (_ (_ tptp.splice_a tptp.nil_a) @t67) @t67)))
% 0.96/1.17  (assume @p174 (forall @t167 (=> @t42 (=> @t119 (=> (forall @t81 (=> @t166 @t496)) @t114)))))
% 0.96/1.17  (assume @p175 (forall @t171 (=> @t49 (=> @t126 (=> (forall @t65 (=> @t170 @t498)) @t121)))))
% 0.96/1.17  (assume @p176 (forall (@list @t51 @t419 @t130 @t40) (= (= @t429 @t132) (or (and @t439 (= @t419 @t132)) (exists @t502 (and (= @t51 @t501) (= @t500 @t40)))))))
% 0.96/1.17  (assume @p177 (forall (@list @t67 @t414 @t134 @t47) (= (= @t428 @t136) (or (and @t442 (= @t414 @t136)) (exists @t506 (and (= @t67 @t505) (= @t504 @t47)))))))
% 0.96/1.17  (assume @p178 (forall (@list @t130 @t40 @t51 @t419) (= @t483 (or (and @t439 (= @t132 @t419)) (exists @t502 (and (= @t501 @t51) (= @t40 @t500)))))))
% 0.96/1.17  (assume @p179 (forall (@list @t134 @t47 @t67 @t414) (= @t484 (or (and @t442 (= @t136 @t414)) (exists @t506 (and (= @t505 @t67) (= @t47 @t504)))))))
% 0.96/1.17  (assume @p180 (forall @t43 (=> @t42 (not (forall (@list @t53 @t54) (not (= @t40 (_ (_ tptp.append_list_a @t53) (_ @t55 tptp.nil_list_a)))))))))
% 0.96/1.17  (assume @p181 (forall @t50 (=> @t49 (not (forall (@list @t69 @t70) (not (= @t47 (_ (_ tptp.append_a @t69) (_ @t71 tptp.nil_a)))))))))
% 0.96/1.17  (assume @p182 (forall @t120 (=> @t32 (=> (forall @t81 @t496) @t114))))
% 0.96/1.17  (assume @p183 (forall @t127 (=> @t36 (=> (forall @t65 @t498) @t121))))
% 0.96/1.17  (assume @p184 (forall @t133 (= (_ (_ tptp.append_list_a @t208) @t40) @t132)))
% 0.96/1.17  (assume @p185 @t508)
% 0.96/1.17  (assume @p186 (forall @t509 (=> @t464 @t467)))
% 0.96/1.17  (assume @p187 (forall @t509 (=> @t510 (=> @t463 (=> @t460 @t467)))))
% 0.96/1.17  (assume @p188 (forall (@list @t244 @t134 @t47) (= (_ @t511 @t136) (_ @t410 (_ @t511 @t47)))))
% 0.96/1.17  (assume @p189 (forall (@list @t238 @t134 @t47) (= (_ @t512 @t136) (_ @t411 (_ @t512 @t47)))))
% 0.96/1.17  (assume @p190 (forall (@list @t240 @t130 @t40) (= (_ @t513 @t132) (_ @t412 (_ @t513 @t40)))))
% 0.96/1.17  (assume @p191 (forall (@list @t242 @t130 @t40) (= (_ @t514 @t132) (_ @t413 (_ @t514 @t40)))))
% 0.96/1.17  (assume @p192 (forall @t522 (= @t521 (and (=> @t519 (and @t439 (= @t419 tptp.nil_list_a))) (=> @t520 (exists (@list @t517 @t280 @t516 @t515) (and (= @t518 (_ (_ tptp.append_list_list_a @t517) (_ (_ tptp.cons_list_list_a (_ (_ tptp.append_list_a @t280) @t516)) @t515))) (= @t51 (_ (_ tptp.append_list_a (_ tptp.concat_list_a @t517)) @t280)) (= @t419 (_ (_ tptp.append_list_a @t516) (_ tptp.concat_list_a @t515))))))))))
% 0.96/1.17  (assume @p193 (forall @t530 (= @t529 (and (=> @t527 (and @t442 (= @t414 tptp.nil_a))) (=> @t528 (exists (@list @t525 @t270 @t524 @t523) (and (= @t526 (_ (_ tptp.append_list_a @t525) (_ (_ tptp.cons_list_a (_ (_ tptp.append_a @t270) @t524)) @t523))) (= @t67 (_ (_ tptp.append_a (_ tptp.concat_a @t525)) @t270)) (= @t414 (_ (_ tptp.append_a @t524) (_ tptp.concat_a @t523))))))))))
% 0.96/1.17  (assume @p194 (forall @t133 (= (_ tptp.rotate1_list_a @t132) @t453)))
% 0.96/1.17  (assume @p195 (forall @t137 (= (_ tptp.rotate1_a @t136) @t457)))
% 0.96/1.17  (assume @p196 (forall @t531 (= (_ tptp.butlast_list_a @t453) @t40)))
% 0.96/1.17  (assume @p197 (forall @t532 (= (_ tptp.butlast_a @t457) @t47)))
% 0.96/1.17  (assume @p198 (forall @t531 (= (_ tptp.last_list_a @t453) @t130)))
% 0.96/1.17  (assume @p199 (forall @t532 (= (_ tptp.last_a @t457) @t134)))
% 0.96/1.17  (assume @p200 (forall (@list @t533 @t536 @t534) (=> @t540 @t538)))
% 0.96/1.17  (assume @p201 (forall (@list @t541 @t544 @t542) (=> @t548 @t546)))
% 0.96/1.17  (assume @p202 (forall (@list @t536 @t534 @t533) (=> @t538 @t540)))
% 0.96/1.17  (assume @p203 (forall (@list @t544 @t542 @t541) (=> @t546 @t548)))
% 0.96/1.17  (assume @p204 (forall @t43 (= (= @t549 tptp.nil_list_a) @t41)))
% 0.96/1.17  (assume @p205 (forall @t50 (= (= @t550 tptp.nil_a) @t48)))
% 0.96/1.17  (assume @p206 (forall @t445 @t553))
% 0.96/1.17  (assume @p207 (forall @t446 @t556))
% 0.96/1.17  (assume @p208 (forall @t445 @t559))
% 0.96/1.17  (assume @p209 (forall @t446 @t562))
% 0.96/1.17  (assume @p210 (forall (@list @t564 @t563) (= (_ tptp.concat_list_a (_ (_ tptp.append_list_list_a @t564) @t563)) (_ (_ tptp.append_list_a @t565) (_ tptp.concat_list_a @t563)))))
% 0.96/1.17  (assume @p211 (forall @t441 (= (_ tptp.concat_a @t422) (_ (_ tptp.append_a @t566) (_ tptp.concat_a @t51)))))
% 0.96/1.17  (assume @p212 (forall @t43 (=> @t42 (= (_ (_ tptp.append_list_a @t567) (_ (_ tptp.cons_list_a @t551) tptp.nil_list_a)) @t40))))
% 0.96/1.17  (assume @p213 (forall @t50 (=> @t49 (= (_ (_ tptp.append_a @t568) (_ (_ tptp.cons_a @t554) tptp.nil_a)) @t47))))
% 0.96/1.17  (assume @p214 (= (_ tptp.butlast_list_a tptp.nil_list_a) tptp.nil_list_a))
% 0.96/1.17  (assume @p215 (= (_ tptp.butlast_a tptp.nil_a) tptp.nil_a))
% 0.96/1.17  (assume @p216 (forall (@list @t40 @t130 @t51) (= (= @t453 @t51) (and @t558 (= @t569 @t40) (= @t557 @t130)))))
% 0.96/1.17  (assume @p217 (forall (@list @t47 @t134 @t67) (= (= @t457 @t67) (and @t561 (= @t570 @t47) (= @t560 @t134)))))
% 0.96/1.17  (assume @p218 (= (_ tptp.rotate1_list_a tptp.nil_list_a) tptp.nil_list_a))
% 0.96/1.17  (assume @p219 (= (_ tptp.rotate1_a tptp.nil_a) tptp.nil_a))
% 0.96/1.17  (assume @p220 (forall @t531 (and @t573 @t572)))
% 0.96/1.17  (assume @p221 (forall @t532 (and @t576 @t575)))
% 0.96/1.17  (assume @p222 (forall @t531 @t573))
% 0.96/1.17  (assume @p223 (forall @t532 @t576))
% 0.96/1.17  (assume @p224 (forall @t531 @t572))
% 0.96/1.17  (assume @p225 (forall @t532 @t575))
% 0.96/1.17  (assume @p226 (forall @t445 (and @t553 @t559)))
% 0.96/1.17  (assume @p227 (forall @t446 (and @t556 @t562)))
% 0.96/1.17  (assume @p228 (forall @t441 (exists (@list @t581 @t578 @t577) (and (= @t40 (_ @t582 @t581)) (= @t51 (_ (_ tptp.append_list_a @t577) @t581)) (or @t580 @t579 (not (= (_ tptp.last_list_a @t578) (_ tptp.last_list_a @t577))))))))
% 0.96/1.17  (assume @p229 (forall @t444 (exists (@list @t587 @t584 @t583) (and (= @t47 (_ @t588 @t587)) (= @t67 (_ (_ tptp.append_a @t583) @t587)) (or @t586 @t585 (not (= (_ tptp.last_a @t584) (_ tptp.last_a @t583))))))))
% 0.96/1.17  (assume @p230 (forall @t531 (and (=> @t41 (= @t589 tptp.nil_list_a)) (=> @t42 (= @t589 (_ @t131 @t567))))))
% 0.96/1.17  (assume @p231 (forall @t532 (and (=> @t48 (= @t590 tptp.nil_a)) (=> @t49 (= @t590 (_ @t135 @t568))))))
% 0.96/1.17  (assume @p232 (= (_ tptp.concat_list_a tptp.nil_list_list_a) tptp.nil_list_a))
% 0.96/1.17  (assume @p233 (= (_ tptp.concat_a tptp.nil_list_a) tptp.nil_a))
% 0.96/1.17  (assume @p234 (forall (@list @t195 @t564) (= (_ tptp.concat_list_a (_ (_ tptp.cons_list_list_a @t195) @t564)) (_ (_ tptp.append_list_a @t195) @t565))))
% 0.96/1.17  (assume @p235 (forall @t133 (= (_ tptp.concat_a @t132) (_ (_ tptp.append_a @t130) @t566))))
% 0.96/1.17  (assume @p236 (forall @t445 (and (=> @t439 (= @t591 @t567)) (=> @t558 (= @t591 (_ @t421 @t569))))))
% 0.96/1.17  (assume @p237 (forall @t446 (and (=> @t442 (= @t592 @t568)) (=> @t561 (= @t592 (_ @t416 @t570))))))
% 0.96/1.17  (assume @p238 (forall @t239 (= (_ @t512 tptp.nil_a) tptp.nil_list_a)))
% 0.96/1.17  (assume @p239 (forall @t241 (= (_ @t513 tptp.nil_list_a) tptp.nil_a)))
% 0.96/1.17  (assume @p240 (forall @t243 (= (_ @t514 tptp.nil_list_a) tptp.nil_list_a)))
% 0.96/1.17  (assume @p241 (forall @t245 (= (_ @t511 tptp.nil_a) tptp.nil_a)))
% 0.96/1.17  (assume @p242 (forall @t522 (=> @t521 (=> @t520 (exists (@list @t594 @t73 @t578 @t593) (and (= @t518 (_ (_ tptp.append_list_list_a @t594) (_ (_ tptp.cons_list_list_a (_ @t495 @t578)) @t593))) (= @t51 (_ (_ tptp.append_list_a (_ tptp.concat_list_a @t594)) @t73)) (= @t419 (_ @t582 (_ tptp.concat_list_a @t593)))))))))
% 0.96/1.17  (assume @p243 (forall @t530 (=> @t529 (=> @t528 (exists (@list @t596 @t57 @t584 @t595) (and (= @t526 (_ (_ tptp.append_list_a @t596) (_ (_ tptp.cons_list_a (_ @t497 @t584)) @t595))) (= @t67 (_ (_ tptp.append_a (_ tptp.concat_a @t596)) @t57)) (= @t414 (_ @t588 (_ tptp.concat_a @t595)))))))))
% 0.96/1.17  (assume @p244 (forall (@list @t534 @t536) (=> (_ @t598 @t534) (=> (_ @t537 (_ @t535 tptp.nil_list_a)) (_ @t598 @t597)))))
% 0.96/1.17  (assume @p245 (forall (@list @t542 @t544) (=> (_ @t600 @t542) (=> (_ @t545 (_ @t543 tptp.nil_a)) (_ @t600 @t599)))))
% 0.96/1.17  (assume @p246 (forall (@list @t534 @t536 @t533) (= (_ (_ tptp.bNF_Gr1046450207list_a @t597) @t533) (_ @t535 @t601))))
% 0.96/1.17  (assume @p247 (forall (@list @t542 @t544 @t541) (= (_ (_ tptp.bNF_Greatest_Succ_a @t599) @t541) (_ @t543 @t602))))
% 0.96/1.17  (assume @p248 (forall (@list @t603 @t40 @t51 @t320) (= (_ (_ @t604 @t422) @t320) (_ (_ @t604 @t40) (_ (_ @t604 @t51) @t320)))))
% 0.96/1.17  (assume @p249 (forall (@list @t533 @t534 @t536) (=> (_ (_ tptp.member_list_list_a @t533) @t597) (_ (_ tptp.member_list_list_a @t601) @t534))))
% 0.96/1.17  (assume @p250 (forall (@list @t541 @t542 @t544) (=> (_ (_ tptp.member_list_a2 @t541) @t599) (_ (_ tptp.member_list_a2 @t602) @t542))))
% 0.96/1.17  (assume @p251 (= tptp.list_strict_asc_nat (_ tptp.list_ord_nat tptp.ord_less_nat)))
% 0.96/1.17  (assume @p252 (forall (@list @t461 @t462 @t605 @t459 @t458) (=> @t464 (_ (_ tptp.ord_lexordp_nat (_ @t606 @t466)) (_ @t606 @t465)))))
% 0.96/1.17  (assume @p253 (forall @t468 (= @t609 (or @t464 (and @t463 @t608)))))
% 0.96/1.17  (assume @p254 (forall @t441 @t612))
% 0.96/1.17  (assume @p255 (forall @t444 @t615))
% 0.96/1.17  (assume @p256 (forall (@list @t459) (=> (forall @t374 (not (_ @t360 @t357))) (not (_ @t607 @t459)))))
% 0.96/1.17  (assume @p257 (forall @t13 (= (_ tptp.hd_list_a @t7) @t6)))
% 0.96/1.17  (assume @p258 (forall @t14 (= (_ tptp.hd_a @t12) @t11)))
% 0.96/1.17  (assume @p259 (forall (@list @t564) (=> (not (= @t564 tptp.nil_list_list_a)) (=> (not (= @t616 tptp.nil_list_a)) (= (_ tptp.hd_list_a @t565) (_ tptp.hd_list_a @t616))))))
% 0.96/1.17  (assume @p260 (forall @t43 (=> @t42 (=> (not (= @t610 tptp.nil_a)) (= (_ tptp.hd_a @t566) (_ tptp.hd_a @t610))))))
% 0.96/1.17  (assume @p261 (forall @t441 (and (=> @t41 (= @t611 @t617)) @t612)))
% 0.96/1.17  (assume @p262 (forall @t444 (and (=> @t48 (= @t614 @t618)) @t615)))
% 0.96/1.17  (assume @p263 (forall @t441 (exists (@list @t619 @t578 @t577) (and (= @t40 (_ @t620 @t578)) (= @t51 (_ @t620 @t577)) (or @t580 @t579 (not (= (_ tptp.hd_list_a @t578) (_ tptp.hd_list_a @t577))))))))
% 0.96/1.17  (assume @p264 (forall @t444 (exists (@list @t621 @t584 @t583) (and (= @t47 (_ @t622 @t584)) (= @t67 (_ @t622 @t583)) (or @t586 @t585 (not (= (_ tptp.hd_a @t584) (_ tptp.hd_a @t583))))))))
% 0.96/1.17  (assume @p265 (forall @t509 (=> @t464 @t609)))
% 0.96/1.17  (assume @p266 (forall @t509 (=> @t510 (=> @t463 (=> @t608 @t609)))))
% 0.96/1.17  (assume @p267 (forall (@list @t459 @t605 @t623) (=> (_ (_ tptp.ord_lexordp_nat (_ @t625 @t605)) (_ @t625 @t623)) (=> (forall (@list @t624) (not (_ (_ tptp.ord_less_nat @t624) @t624))) (_ (_ tptp.ord_lexordp_nat @t605) @t623)))))
% 0.96/1.17  (assume @p268 (forall @t377 (=> (_ (_ tptp.ord_lexordp_nat @t370) @t365) (=> (=> @t376 (forall @t627 (not @t366))) (=> @t375 (not (forall @t372 (=> @t371 (forall @t367 (=> @t366 (=> @t362 (=> @t359 (not @t626)))))))))))))
% 0.96/1.17  (assume @p269 (= tptp.ord_lexordp_nat (lambda @t393 (or (exists (@list @t381 @t378) (and @t392 @t386)) @t391 (exists @t390 (and @t389 @t386 @t384 @t382 (_ (_ tptp.ord_lexordp_nat @t379) @t378)))))))
% 0.96/1.17  (assume @p270 (forall @t407 (=> (_ (_ tptp.ord_lexordp_nat @t395) @t394) (=> @t628 (=> @t404 (=> (forall @t402 (=> @t362 (=> @t359 (=> @t626 @t401)))) @t397))))))
% 0.96/1.17  (assume @p271 (forall (@list @t459 @t458) (=> @t608 (=> (=> (= @t459 tptp.nil_nat) (forall (@list @t358 @t629) (not @t633))) (=> (forall @t374 (=> (exists (@list @t630) @t632) (forall @t373 (=> (exists @t631 @t633) @t362)))) (not (forall (@list @t357 @t630) (=> @t632 (forall @t631 (=> (= @t458 (_ @t368 @t629)) (not (_ (_ tptp.ord_lexordp_nat @t630) @t629))))))))))))
% 0.96/1.17  (assume @p272 (forall (@list @t459 @t458 @t396) (=> @t608 (=> @t628 (=> (forall (@list @t357 @t355 @t358 @t354) @t403) (=> (forall (@list @t357 @t355 @t354) (=> @t626 (=> @t400 (_ @t398 (_ @t368 @t354))))) (_ (_ @t396 @t459) @t458)))))))
% 0.96/1.17  (assume @p273 (forall @t441 (= @t636 (and @t635 @t634 (or @t41 @t439 (not (= @t551 @t617)))))))
% 0.96/1.17  (assume @p274 (forall @t444 (= @t640 (and @t639 @t638 @t637))))
% 0.96/1.17  (assume @p275 (forall @t43 (=> @t42 (= @t549 (_ @t643 (_ @t641 tptp.nil_list_a))))))
% 0.96/1.17  (assume @p276 (forall @t50 (=> @t49 (= @t550 (_ @t646 (_ @t644 tptp.nil_a))))))
% 0.96/1.17  (assume @p277 (forall (@list @t91 @t40 @t51) (= (_ @t647 @t422) (and (_ @t647 @t40) (_ @t647 @t51) (or @t41 @t439 (_ (_ @t91 @t551) @t617))))))
% 0.96/1.17  (assume @p278 (forall (@list @t648 @t47 @t67) (= (_ @t649 @t417) (and @t650 (_ @t649 @t67) (or @t48 @t442 (_ (_ @t648 @t554) @t618))))))
% 0.96/1.17  (assume @p279 (forall (@list @t130 @t26 @t40) (= (_ tptp.distinct_adj_list_a @t652) (and (not @t408) (_ tptp.distinct_adj_list_a @t651)))))
% 0.96/1.17  (assume @p280 (forall @t656 (= (_ tptp.distinct_adj_a @t655) (and @t654 (_ tptp.distinct_adj_a @t653)))))
% 0.96/1.17  (assume @p281 (forall @t441 (=> @t42 (= (_ tptp.tl_list_a @t422) (_ @t643 @t51)))))
% 0.96/1.17  (assume @p282 (forall @t444 (=> @t49 (= (_ tptp.tl_a @t417) (_ @t646 @t67)))))
% 0.96/1.17  (assume @p283 (forall @t43 (=> @t42 (= (_ @t641 @t642) @t40))))
% 0.96/1.17  (assume @p284 (forall @t50 (=> @t49 (= (_ @t644 @t645) @t47))))
% 0.96/1.17  (assume @p285 (forall (@list @t15) (=> @t17 (= (_ (_ tptp.cons_list_a @t658) @t657) @t15))))
% 0.96/1.17  (assume @p286 (forall @t662 (=> @t20 (= @t661 @t18))))
% 0.96/1.17  (assume @p287 (forall @t13 (= (_ tptp.tl_list_a @t7) @t4)))
% 0.96/1.17  (assume @p288 (forall @t14 (= (_ tptp.tl_a @t12) @t9)))
% 0.96/1.17  (assume @p289 (= (_ tptp.tl_list_a tptp.nil_list_a) tptp.nil_list_a))
% 0.96/1.17  (assume @p290 (= (_ tptp.tl_a tptp.nil_a) tptp.nil_a))
% 0.96/1.17  (assume @p291 (forall @t668 (=> (not @t667) (not (forall @t191 (=> @t666 @t665))))))
% 0.96/1.17  (assume @p292 (forall @t674 (=> (not @t673) (not (forall @t194 (=> @t672 @t671))))))
% 0.96/1.17  (assume @p293 (forall (@list @t91 @t130 @t26 @t40) (= (_ @t647 @t652) (and (_ (_ @t91 @t130) @t26) (_ @t647 @t651)))))
% 0.96/1.17  (assume @p294 (forall (@list @t648 @t134 @t313 @t47) (= (_ @t649 @t655) (and (_ @t675 @t313) (_ @t649 @t653)))))
% 0.96/1.17  (assume @p295 (forall (@list @t91) (_ @t647 tptp.nil_list_a)))
% 0.96/1.17  (assume @p296 (forall (@list @t648) (_ @t649 tptp.nil_a)))
% 0.96/1.17  (assume @p297 (forall @t441 (=> @t636 @t635)))
% 0.96/1.17  (assume @p298 (forall @t444 (=> @t640 @t639)))
% 0.96/1.17  (assume @p299 (forall @t441 (=> @t636 @t634)))
% 0.96/1.17  (assume @p300 (forall @t444 (=> @t640 @t638)))
% 0.96/1.17  (assume @p301 (_ tptp.distinct_adj_list_a tptp.nil_list_a))
% 0.96/1.17  (assume @p302 (_ tptp.distinct_adj_a tptp.nil_a))
% 0.96/1.17  (assume @p303 (forall @t133 (=> (_ tptp.distinct_adj_list_a @t132) @t635)))
% 0.96/1.17  (assume @p304 (forall @t137 (=> @t676 @t639)))
% 0.96/1.17  (assume @p305 (forall @t50 (= (_ tptp.butlast_a @t645) (_ tptp.tl_a @t568))))
% 0.96/1.17  (assume @p306 (forall @t43 (= @t678 @t677)))
% 0.96/1.17  (assume @p307 (forall @t50 (= @t680 @t679)))
% 0.96/1.17  (assume @p308 (forall @t43 (= (= tptp.nil_list_a @t642) @t677)))
% 0.96/1.17  (assume @p309 (forall @t50 (= (= tptp.nil_a @t645) @t679)))
% 0.96/1.17  (assume @p310 (forall (@list @t15 @t681) (=> (= @t16 @t682) (=> (=> @t17 (=> (not @t682) (and (= @t658 (_ tptp.hd_list_a @t681)) (= @t657 (_ tptp.tl_list_a @t681))))) (= @t15 @t681)))))
% 0.96/1.17  (assume @p311 (forall (@list @t18 @t683) (=> (= @t19 @t684) (=> (=> @t20 (=> (not @t684) (and (= @t660 (_ tptp.hd_a @t683)) (= @t659 (_ tptp.tl_a @t683))))) (= @t18 @t683)))))
% 0.96/1.17  (assume @p312 (forall @t43 (=> (or @t41 (not @t678)) (= (_ tptp.last_list_a @t642) @t551))))
% 0.96/1.17  (assume @p313 (forall @t50 (=> (or @t48 (not @t680)) (= (_ tptp.last_a @t645) @t554))))
% 0.96/1.17  (assume @p314 (forall (@list @t91 @t130) (_ @t647 @t208)))
% 0.96/1.17  (assume @p315 (forall (@list @t648 @t134) (_ @t649 @t209)))
% 0.96/1.17  (assume @p316 (forall (@list @t663 @t223 @t686) (=> (= @t667 @t686) (=> (=> @t227 @t687) (=> (=> (exists @t118 @t688) @t687) (not (forall @t191 (=> @t666 (= @t686 @t685)))))))))
% 0.96/1.17  (assume @p317 (forall (@list @t669 @t215 @t686) (=> (= @t673 @t686) (=> (=> @t219 @t687) (=> (=> (exists @t125 @t690) @t687) (not (forall @t194 (=> @t672 (= @t686 @t689)))))))))
% 0.96/1.17  (assume @p318 (forall @t668 (=> @t667 (=> (not @t227) (=> (forall @t118 (not @t688)) (not (forall @t191 (=> @t666 @t685))))))))
% 0.96/1.17  (assume @p319 (forall @t674 (=> @t673 (=> (not @t219) (=> (forall @t125 (not @t690)) (not (forall @t194 (=> @t672 @t689))))))))
% 0.96/1.17  (assume @p320 (forall @t202 (_ tptp.distinct_adj_list_a @t208)))
% 0.96/1.17  (assume @p321 (forall @t210 (_ tptp.distinct_adj_a @t209)))
% 0.96/1.17  (assume @p322 (forall @t662 (=> @t20 (= @t18 @t661))))
% 0.96/1.17  (assume @p323 (forall (@list @t648 @t134 @t47) (= (_ @t649 @t136) (or @t48 (and (_ @t675 @t613) @t650)))))
% 0.96/1.17  (assume @p324 (forall @t137 (= @t676 (or @t48 (and (not (= @t134 @t613)) @t639)))))
% 0.96/1.17  (assume @p325 (forall (@list @t693 @t414 @t47 @t67) (= (_ @t696 @t694) (or (and @t49 (= @t613 @t693) (_ @t692 (_ (_ tptp.shuffles_a @t645) @t67))) (and @t561 (= @t618 @t693) (_ @t692 (_ @t691 (_ tptp.tl_a @t67))))))))
% 0.96/1.17  (assume @p326 (forall @t702 @t701))
% 0.96/1.17  (assume @p327 (forall @t444 (= @t703 @t443)))
% 0.96/1.17  (assume @p328 (forall (@list @t414 @t47 @t67) (=> @t710 (=> (=> (= @t414 @t47) @t561) (=> (=> (= @t414 @t67) @t49) (=> (forall (@list @t58 @t584) (=> (= @t47 (_ @t59 @t584)) (forall @t709 (=> @t708 (=> (= @t58 @t706) (not (_ @t705 (_ (_ tptp.shuffles_a @t584) @t67)))))))) (not (forall (@list @t70 @t583) (=> (= @t67 (_ @t71 @t583)) (forall @t709 (=> @t708 (=> (= @t70 @t706) (not (_ @t705 (_ @t691 @t583)))))))))))))))
% 0.96/1.17  (assume @p329 (forall (@list @t697 @t134 @t47 @t313 @t67) (= (_ (_ @t698 @t136) @t317) (_ @t712 @t711))))
% 0.96/1.17  (assume @p330 (forall @t713 (=> @t710 (_ @t696 (_ (_ tptp.shuffles_a (_ @t695 @t47)) @t67)))))
% 0.96/1.17  (assume @p331 (forall @t713 (=> @t710 (_ @t696 (_ @t691 (_ @t695 @t67))))))
% 0.96/1.17  (assume @p332 (forall @t444 (=> @t48 (=> @t442 @t703))))
% 0.96/1.17  (assume @p333 (forall @t702 (and (=> @t48 (= @t700 tptp.nil_a)) @t701)))
% 0.96/1.17  (assume @p334 (forall @t444 (=> @t637 (= (_ tptp.remdups_adj_a @t417) (_ (_ tptp.append_a @t714) (_ tptp.remdups_adj_a @t67))))))
% 0.96/1.17  (assume @p335 (forall (@list @t717 @t134 @t715) (= (_ tptp.remdups_adj_a (_ @t718 @t716)) (_ (_ tptp.append_a (_ tptp.remdups_adj_a (_ @t718 @t209))) (_ tptp.tl_a (_ tptp.remdups_adj_a @t716))))))
% 0.96/1.17  (assume @p336 (forall @t50 (= (= @t714 tptp.nil_a) @t48)))
% 0.96/1.17  (assume @p337 (forall @t137 (= (_ @t135 (_ tptp.tl_a @t719)) @t719)))
% 0.96/1.17  (assume @p338 (forall @t720 (=> (= (_ tptp.remdups_adj_a @t130) @t26) (=> (=> @t201 @t27) (=> (forall @t125 (=> @t200 (not (= @t26 @t124)))) (not (forall @t194 (=> @t199 (not (and (=> @t192 (= @t26 (_ tptp.remdups_adj_a @t60))) (=> @t193 (= @t26 (_ @t59 (_ tptp.remdups_adj_a @t184))))))))))))))
% 0.96/1.17  (assume @p339 (forall @t210 (= (_ tptp.remdups_adj_a @t209) @t209)))
% 0.96/1.17  (assume @p340 (= (_ tptp.remdups_adj_a tptp.nil_a) tptp.nil_a))
% 0.96/1.17  (assume @p341 (forall @t656 (and (=> @t409 (= @t721 @t719)) (=> @t654 (= @t721 (_ @t135 (_ tptp.remdups_adj_a @t653)))))))
% 0.96/1.17  (assume @p342 (forall (@list @t47 @t134 @t313) (= (_ tptp.remdups_adj_a (_ @t416 (_ @t135 @t455))) (_ (_ tptp.append_a (_ tptp.remdups_adj_a @t457)) (_ (_ (_ tptp.if_list_a @t409) tptp.nil_a) @t455)))))
% 0.96/1.17  (assume @p343 (forall (@list @t47 @t67 @t697 @t134 @t313) (=> @t724 (= (_ (_ @t698 @t457) @t456) (_ (_ tptp.append_a @t711) (_ @t712 tptp.nil_a))))))
% 0.96/1.17  (assume @p344 (forall (@list @t725 @t47) (=> (_ (_ tptp.ord_less_nat @t725) @t723) @t49)))
% 0.96/1.17  (assume @p345 (forall (@list @t47 @t67 @t91) (=> @t724 (=> @t99 (=> (forall @t97 (=> @t727 @t96)) @t92)))))
% 0.96/1.17  (assume @p346 (forall (@list @t47 @t67 @t414 @t728) (=> @t724 (=> @t733 (=> (_ (_ (_ @t728 tptp.nil_a) tptp.nil_a) tptp.nil_a) (=> (forall (@list @t58 @t57 @t70 @t69 @t706 @t122) (=> @t727 (=> @t731 (=> (_ (_ (_ @t728 @t57) @t69) @t122) (_ (_ (_ @t728 @t60) @t72) @t729))))) (_ (_ (_ @t728 @t47) @t67) @t414)))))))
% 0.96/1.17  (assume @p347 (forall (@list @t47 @t67 @t414 @t734 @t735) (=> @t724 (=> @t733 (=> (= @t732 (_ tptp.size_size_list_a @t734)) (=> (_ (_ (_ (_ @t735 tptp.nil_a) tptp.nil_a) tptp.nil_a) tptp.nil_a) (=> (forall (@list @t58 @t57 @t70 @t69 @t706 @t122 @t737 @t736) (=> @t727 (=> @t731 (=> (= @t730 (_ tptp.size_size_list_a @t736)) (=> (_ (_ (_ (_ @t735 @t57) @t69) @t122) @t736) (_ (_ (_ (_ @t735 @t60) @t72) @t729) (_ (_ tptp.cons_a @t737) @t736))))))) (_ (_ (_ (_ @t735 @t47) @t67) @t414) @t734))))))))
% 0.96/1.17  (assume @p348 (forall (@list @t738) (or (= @t738 true) (= @t738 false))))
% 0.96/1.17  (assume @p349 (forall @t720 (= (_ (_ (_ tptp.if_list_a false) @t130) @t26) @t26)))
% 0.96/1.17  (assume @p350 (forall @t720 (= (_ (_ (_ tptp.if_list_a true) @t130) @t26) @t130)))
% 0.96/1.17  (assume @p351 @t744)
% 0.96/1.17  (assume @p352 true)
% 0.96/1.17  (step @p353 (= tptp.concat_list_a @t746) :rule refl :args (@t746))
% 0.96/1.17  (step @p354 (= tptp.concat_a @t748) :rule refl :args (@t748))
% 0.96/1.17  (step @p355 (= tptp.ord_lexordp_nat @t755) :rule refl :args (@t755))
% 0.96/1.17  (step @p356 :rule eq-symm :args (@t757 @t759))
% 0.96/1.17  (step @p357 :rule refl :args (@t739))
% 0.96/1.17  (step @p358 :rule refl :args (@t758))
% 0.96/1.17  (step @p359 :rule refl :args (@t741))
% 0.96/1.17  (step @p360 :rule cong :premises (@p359 @p358) :args ((= @t741 @t758)))
% 0.96/1.17  (step @p361 :rule symm :premises (@p360))
% 0.96/1.17  (step @p362 :rule eq_resolve :premises (@p359 @p361))
% 0.96/1.17  (step @p363 :rule refl :args (tptp.listIn1312259492pend_a))
% 0.96/1.17  (step @p364 :rule ho_cong :premises (@p363 @p362))
% 0.96/1.17  (step @p365 :rule ho_cong :premises (@p364 @p357))
% 0.96/1.17  (step @p366 :rule refl :args (tptp.f))
% 0.96/1.17  (step @p367 :rule refl :args (@t756))
% 0.96/1.17  (step @p368 :rule refl :args (@t742))
% 0.96/1.17  (step @p369 :rule cong :premises (@p368 @p367) :args ((= @t742 @t756)))
% 0.96/1.17  (step @p370 :rule symm :premises (@p369))
% 0.96/1.17  (step @p371 :rule eq_resolve :premises (@p368 @p370))
% 0.96/1.17  (step @p372 :rule ho_cong :premises (@p363 @p371))
% 0.96/1.17  (step @p373 :rule ho_cong :premises (@p372 @p366))
% 0.96/1.17  (step @p374 :rule cong :premises (@p373 @p365) :args (@t743))
% 0.96/1.17  (step @p375 :rule trans :premises (@p374 @p356))
% 0.96/1.17  (step @p376 :rule cong :premises (@p375) :args (@t744))
% 0.96/1.17  (step @p377 :rule eq_resolve :premises (@p351 @p376))
% 0.96/1.17  (step @p378 :rule refl :args ((tptp.append_a @t209 @t47)))
% 0.96/1.17  (step @p379 :rule refl :args (@t47))
% 0.96/1.17  (step @p380 :rule refl :args (@t760))
% 0.96/1.17  (step @p381 :rule cong :premises (@p380 @p379) :args (@t761))
% 0.96/1.17  (step @p382 :rule trans :premises (@p381 @p378))
% 0.96/1.17  (step @p383 :rule refl :args (tptp.append_a))
% 0.96/1.17  (step @p384 :rule ho_cong :premises (@p383 @p380))
% 0.96/1.17  (step @p385 :rule ho_cong :premises (@p384 @p379))
% 0.96/1.17  (step @p386 :rule cong :premises (@p385 @p382) :args ((= (_ (_ tptp.append_a @t760) @t47) @t761)))
% 0.96/1.17  (step @p387 :rule symm :premises (@p386))
% 0.96/1.17  (step @p388 :rule refl :args (@t507))
% 0.96/1.17  (step @p389 :rule eq_resolve :premises (@p388 @p387))
% 0.96/1.17  (step @p390 :rule refl :args (@t209))
% 0.96/1.17  (step @p391 :rule cong :premises (@p390 @p380) :args ((= @t209 @t760)))
% 0.96/1.17  (step @p392 :rule symm :premises (@p391))
% 0.96/1.17  (step @p393 :rule eq_resolve :premises (@p390 @p392))
% 0.96/1.17  (step @p394 :rule ho_cong :premises (@p383 @p393))
% 0.96/1.17  (step @p395 :rule ho_cong :premises (@p394 @p379))
% 0.96/1.17  (step @p396 :rule trans :premises (@p395 @p389))
% 0.96/1.17  (step @p397 :rule refl :args (@t762))
% 0.96/1.17  (step @p398 :rule refl :args (@t136))
% 0.96/1.17  (step @p399 :rule cong :premises (@p398 @p397) :args ((= @t136 @t762)))
% 0.96/1.17  (step @p400 :rule symm :premises (@p399))
% 0.96/1.17  (step @p401 :rule eq_resolve :premises (@p398 @p400))
% 0.96/1.17  (step @p402 :rule cong :premises (@p401 @p396) :args (@t763))
% 0.96/1.18  (step @p403 :rule cong :premises (@p402) :args ((forall @t137 @t763)))
% 0.96/1.18  (step @p404 :rule eq-symm :args (@t507 @t136))
% 0.96/1.18  (step @p405 :rule cong :premises (@p404) :args (@t508))
% 0.96/1.18  (step @p406 :rule trans :premises (@p405 @p403))
% 0.96/1.18  (step @p407 :rule eq_resolve :premises (@p185 @p406))
% 0.96/1.18  (step @p408 :rule instantiate :premises (@p407) :args ((@list tptp.x tptp.xs)))
% 0.96/1.18  (step @p409 :rule refl :args (@t2))
% 0.96/1.18  (step @p410 :rule refl :args (@t764))
% 0.96/1.18  (step @p411 :rule refl :args (@t417))
% 0.96/1.18  (step @p412 :rule cong :premises (@p411 @p410) :args ((= @t417 @t764)))
% 0.96/1.18  (step @p413 :rule symm :premises (@p412))
% 0.96/1.18  (step @p414 :rule eq_resolve :premises (@p411 @p413))
% 0.96/1.18  (step @p415 :rule refl :args (tptp.listIn1312259492pend_a))
% 0.96/1.18  (step @p416 :rule ho_cong :premises (@p415 @p414))
% 0.96/1.18  (step @p417 :rule ho_cong :premises (@p416 @p409))
% 0.96/1.18  (step @p418 :rule refl :args (@t449))
% 0.96/1.18  (step @p419 :rule cong :premises (@p418 @p417) :args (@t450))
% 0.96/1.18  (step @p420 :rule cong :premises (@p419) :args (@t451))
% 0.96/1.18  (step @p421 :rule eq_resolve :premises (@p150 @p420))
% 0.96/1.18  (step @p422 :rule instantiate :premises (@p421) :args ((@list @t758 tptp.xs tptp.f)))
% 0.96/1.18  (step @p423 :rule refl :args (@t767))
% 0.96/1.18  (step @p424 :rule refl :args (@t769))
% 0.96/1.18  (step @p425 :rule bool-double-not-elim :args (@t770))
% 0.96/1.18  (step @p426 :rule nary_cong :premises (@p425 @p424 @p423) :args ((or (not @t771) @t769 @t767)))
% 0.96/1.18  (assume-push @p459 @t767)
% 0.96/1.18  (assume-push @p460 @t766)
% 0.96/1.18  (step @p429 :rule evaluate :args ((= false true)))
% 0.96/1.18  (step @p430 :rule true_intro :premises (@p422))
% 0.96/1.18  (step @p431 :rule false_intro :premises (@p377))
% 0.96/1.18  (step @p432 :rule symm :premises (@p408))
% 0.96/1.18  (step @p433 :rule ho_cong :premises (@p363 @p432))
% 0.96/1.18  (step @p434 :rule ho_cong :premises (@p433 @p366))
% 0.96/1.18  (step @p435 :rule refl :args (@t759))
% 0.96/1.18  (step @p436 :rule cong :premises (@p435 @p434) :args (@t766))
% 0.96/1.18  (step @p437 :rule trans :premises (@p436 @p431))
% 0.96/1.18  (step @p438 :rule symm :premises (@p437))
% 0.96/1.18  (step @p439 :rule trans :premises (@p438 @p430))
% 0.96/1.18  (step @p440 false :rule eq_resolve :premises (@p439 @p429))
% 0.96/1.18  (step-pop @p461 :rule scope :premises (@p440))
% 0.96/1.18  (step-pop @p462 :rule scope :premises (@p461))
% 0.96/1.18  (step @p441 :rule process_scope :premises (@p462) :args (false))
% 0.96/1.18  (assume-push @p463 @t771)
% 0.96/1.18  (assume-push @p464 @t768)
% 0.96/1.18  (assume-push @p465 @t766)
% 0.96/1.18  (step @p431 :rule false_intro :premises (@p377))
% 0.96/1.18  (step @p432 :rule symm :premises (@p408))
% 0.96/1.18  (step @p433 :rule ho_cong :premises (@p363 @p432))
% 0.96/1.18  (step @p434 :rule ho_cong :premises (@p433 @p366))
% 0.96/1.18  (step @p435 :rule refl :args (@t759))
% 0.96/1.18  (step @p436 :rule cong :premises (@p435 @p434) :args (@t766))
% 0.96/1.18  (step @p447 :rule trans :premises (@p436 @p431))
% 0.96/1.18  (step @p448 :rule false_elim :premises (@p447))
% 0.96/1.18  (step @p449 :rule and_intro :premises (@p448 @p422))
% 0.96/1.18  (step-pop @p466 :rule scope :premises (@p449))
% 0.96/1.18  (step-pop @p467 :rule scope :premises (@p466))
% 0.96/1.18  (step-pop @p468 :rule scope :premises (@p467))
% 0.96/1.18  (step @p450 :rule process_scope :premises (@p468) :args (@t772))
% 0.96/1.18  (step @p454 :rule implies_elim :premises (@p450))
% 0.96/1.18  (step @p455 :rule resolution :premises (@p454 @p441) :args (true @t772))
% 0.96/1.18  (step @p456 :rule not_and :premises (@p455))
% 0.96/1.18  (step @p457 :rule eq_resolve :premises (@p456 @p426))
% 0.96/1.18  (step @p458 false :rule chain_m_resolution :premises (@p457 @p422 @p408 @p377) :args (false (@list false false true) (@list @t766 @t768 @t770)))
% 0.96/1.18  )
% 0.96/1.18  % SZS output end Proof
% 0.96/1.18  % cvc5 exiting
%------------------------------------------------------------------------------