%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP166^1 : 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 : n002.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 08:25:15 AM UTC 2026 % Result : Theorem 0.43s 0.85s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP166^1 : TPTP v9.2.1. Released v7.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 04:17:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.59 %----Proving TH0 % 0.43/0.85 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.43/0.85 % SZS status Theorem % 0.43/0.85 % SZS output start Proof % 0.43/0.85 ( % 0.43/0.85 (declare-sort tptp.list_typerep 0) % 0.43/0.85 (declare-sort tptp.set_list_typerep 0) % 0.43/0.85 (declare-sort tptp.set_typerep 0) % 0.43/0.85 (declare-sort tptp.list_P1741976099ar_int 0) % 0.43/0.85 (declare-sort tptp.set_li1762364675ar_int 0) % 0.43/0.85 (declare-sort tptp.produc1788831497yperep 0) % 0.43/0.85 (declare-sort tptp.produc1260470173ar_int 0) % 0.43/0.85 (declare-sort tptp.produc1346207591ar_int 0) % 0.43/0.85 (declare-sort tptp.list_nat 0) % 0.43/0.85 (declare-sort tptp.set_Pr1097818217yperep 0) % 0.43/0.85 (declare-sort tptp.set_nat 0) % 0.43/0.85 (declare-sort tptp.com 0) % 0.43/0.85 (declare-sort tptp.list_char 0) % 0.43/0.85 (declare-sort tptp.int 0) % 0.43/0.85 (declare-sort tptp.set_Pr1986765409at_nat 0) % 0.43/0.85 (declare-sort tptp.nat 0) % 0.43/0.85 (declare-sort tptp.set_Pr1333062727ar_int 0) % 0.43/0.85 (declare-sort tptp.set_Pr1148378109ar_int 0) % 0.43/0.85 (declare-sort tptp.product_prod_nat_nat 0) % 0.43/0.85 (declare-sort tptp.bexp 0) % 0.43/0.85 (declare-sort tptp.typerep 0) % 0.43/0.85 (declare-sort tptp.produc490010537yperep 0) % 0.43/0.85 (declare-sort tptp.set_Pr446800905yperep 0) % 0.43/0.85 (declare-sort tptp.produc1699244961st_nat 0) % 0.43/0.85 (declare-sort tptp.aexp 0) % 0.43/0.85 (declare-sort tptp.literal 0) % 0.43/0.85 (declare-sort tptp.set_Pr1560408065st_nat 0) % 0.43/0.85 (declare-const tptp.produc1193801173ar_int (-> tptp.com (-> tptp.list_char tptp.int) tptp.produc1260470173ar_int)) % 0.43/0.85 (declare-const tptp.big_big_step (-> tptp.produc1260470173ar_int (-> tptp.list_char tptp.int) Bool)) % 0.43/0.85 (declare-const tptp.member92250950ar_int (-> tptp.produc1260470173ar_int tptp.set_Pr1148378109ar_int Bool)) % 0.43/0.85 (declare-const tptp.collec770796680ar_int (-> (-> tptp.produc1260470173ar_int Bool) tptp.set_Pr1148378109ar_int)) % 0.43/0.85 (declare-const tptp.product_Pair_nat_nat (-> tptp.nat tptp.nat tptp.product_prod_nat_nat)) % 0.43/0.85 (declare-const tptp.collec7649004at_nat (-> (-> tptp.product_prod_nat_nat Bool) tptp.set_Pr1986765409at_nat)) % 0.43/0.85 (declare-const tptp.member701585322at_nat (-> tptp.product_prod_nat_nat tptp.set_Pr1986765409at_nat Bool)) % 0.43/0.85 (declare-const tptp.produc317451735ar_int (-> tptp.produc1260470173ar_int tptp.produc1260470173ar_int tptp.produc1346207591ar_int)) % 0.43/0.85 (declare-const tptp.collec1834387154ar_int (-> (-> tptp.produc1346207591ar_int Bool) tptp.set_Pr1333062727ar_int)) % 0.43/0.85 (declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool)) % 0.43/0.85 (declare-const tptp.member2052091212ar_int (-> tptp.list_P1741976099ar_int tptp.set_li1762364675ar_int Bool)) % 0.43/0.85 (declare-const tptp.cons_P1254790739ar_int (-> tptp.produc1260470173ar_int tptp.list_P1741976099ar_int tptp.list_P1741976099ar_int)) % 0.43/0.85 (declare-const tptp.collec672902542ar_int (-> (-> tptp.list_P1741976099ar_int Bool) tptp.set_li1762364675ar_int)) % 0.43/0.85 (declare-const tptp.member_list_typerep (-> tptp.list_typerep tptp.set_list_typerep Bool)) % 0.43/0.85 (declare-const tptp.member_typerep (-> tptp.typerep tptp.set_typerep Bool)) % 0.43/0.85 (declare-const tptp.cons_typerep (-> tptp.typerep tptp.list_typerep tptp.list_typerep)) % 0.43/0.85 (declare-const tptp.collect_list_typerep (-> (-> tptp.list_typerep Bool) tptp.set_list_typerep)) % 0.43/0.85 (declare-const tptp.append_nat (-> tptp.list_nat tptp.list_nat tptp.list_nat)) % 0.43/0.85 (declare-const tptp.append_typerep (-> tptp.list_typerep tptp.list_typerep tptp.list_typerep)) % 0.43/0.85 (declare-const tptp.bNF_Gr1303086585yperep (-> tptp.set_list_typerep tptp.list_typerep tptp.set_typerep)) % 0.43/0.85 (declare-const tptp.gen_length_typerep (-> tptp.nat tptp.list_typerep tptp.nat)) % 0.43/0.85 (declare-const tptp.cons_nat (-> tptp.nat tptp.list_nat tptp.list_nat)) % 0.43/0.85 (declare-const tptp.listrel1_nat (-> tptp.set_Pr1986765409at_nat tptp.set_Pr1560408065st_nat)) % 0.43/0.85 (declare-const tptp.member1926390090st_nat (-> tptp.produc1699244961st_nat tptp.set_Pr1560408065st_nat Bool)) % 0.43/0.85 (declare-const tptp.lex_nat (-> tptp.set_Pr1986765409at_nat tptp.set_Pr1560408065st_nat)) % 0.43/0.85 (declare-const tptp.member1812711762yperep (-> tptp.produc490010537yperep tptp.set_Pr446800905yperep Bool)) % 0.43/0.85 (declare-const tptp.lex_typerep (-> tptp.set_Pr1097818217yperep tptp.set_Pr446800905yperep)) % 0.43/0.85 (declare-const tptp.lexord_typerep (-> tptp.set_Pr1097818217yperep tptp.set_Pr446800905yperep)) % 0.43/0.85 (declare-const tptp.size_typerep (-> tptp.typerep tptp.nat)) % 0.43/0.85 (declare-const tptp.lexord_nat (-> tptp.set_Pr1986765409at_nat tptp.set_Pr1560408065st_nat)) % 0.43/0.85 (declare-const tptp.typerep2 (-> tptp.literal tptp.list_typerep tptp.typerep)) % 0.43/0.85 (declare-const tptp.size_list_typerep (-> (-> tptp.typerep tptp.nat) tptp.list_typerep tptp.nat)) % 0.43/0.85 (declare-const tptp.unique1592618082ux_nat (-> tptp.product_prod_nat_nat Bool)) % 0.43/0.85 (declare-const tptp.size_size_com (-> tptp.com tptp.nat)) % 0.43/0.85 (declare-const tptp.zero_zero_nat tptp.nat) % 0.43/0.85 (declare-const tptp.relati23543761ar_int (-> (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool) tptp.bexp tptp.com tptp.nat (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool)) % 0.43/0.85 (declare-const tptp.listrel1_typerep (-> tptp.set_Pr1097818217yperep tptp.set_Pr446800905yperep)) % 0.43/0.85 (declare-const tptp.bval (-> tptp.bexp (-> tptp.list_char tptp.int) Bool)) % 0.43/0.85 (declare-const tptp.while (-> tptp.bexp tptp.com tptp.com)) % 0.43/0.85 (declare-const tptp.size_size_list_nat (-> tptp.list_nat tptp.nat)) % 0.43/0.85 (declare-const tptp.p (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool)) % 0.43/0.85 (declare-const tptp.ka tptp.nat) % 0.43/0.85 (declare-const tptp.s_a (-> tptp.list_char tptp.int)) % 0.43/0.85 (declare-const tptp.t_a (-> tptp.list_char tptp.int)) % 0.43/0.85 (declare-const tptp.member100911538yperep (-> tptp.produc1788831497yperep tptp.set_Pr1097818217yperep Bool)) % 0.43/0.85 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.43/0.85 (declare-const tptp.plus_plus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.43/0.85 (declare-const tptp.size_size_typerep (-> tptp.typerep tptp.nat)) % 0.43/0.85 (declare-const tptp.c tptp.com) % 0.43/0.85 (declare-const tptp.assign (-> tptp.list_char tptp.aexp tptp.com)) % 0.43/0.85 (declare-const tptp.ta (-> tptp.list_char tptp.int)) % 0.43/0.85 (declare-const tptp.produc1695567329yperep (-> tptp.list_typerep tptp.list_typerep tptp.produc490010537yperep)) % 0.43/0.85 (declare-const tptp.s2 (-> tptp.list_char tptp.int)) % 0.43/0.85 (declare-const tptp.c2 tptp.com) % 0.43/0.85 (declare-const tptp.size_s416147576yperep (-> tptp.list_typerep tptp.nat)) % 0.43/0.85 (declare-const tptp.b tptp.bexp) % 0.43/0.85 (declare-const tptp.sa (-> tptp.list_char tptp.int)) % 0.43/0.85 (declare-const tptp.t (-> tptp.list_char tptp.int)) % 0.43/0.85 (declare-const tptp.produc1625736153st_nat (-> tptp.list_nat tptp.list_nat tptp.produc1699244961st_nat)) % 0.43/0.85 (declare-const tptp.s (-> tptp.list_char tptp.int)) % 0.43/0.85 (declare-const tptp.t2 (-> tptp.list_char tptp.int)) % 0.43/0.85 (declare-const tptp.if (-> tptp.bexp tptp.com tptp.com tptp.com)) % 0.43/0.85 (declare-const tptp.ua (-> tptp.list_char tptp.int)) % 0.43/0.85 (declare-const tptp.q (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool)) % 0.43/0.85 (declare-const tptp.k tptp.nat) % 0.43/0.85 (declare-const tptp.produc2071514689yperep (-> tptp.typerep tptp.typerep tptp.produc1788831497yperep)) % 0.43/0.85 (declare-const tptp.u (-> tptp.list_char tptp.int)) % 0.43/0.85 (declare-const tptp.skip tptp.com) % 0.43/0.85 (declare-const tptp.size_com (-> tptp.com tptp.nat)) % 0.43/0.85 (declare-const tptp.seq (-> tptp.com tptp.com tptp.com)) % 0.43/0.85 (declare-const tptp.relati2102071307_hoare (-> (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool) tptp.com tptp.com (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool) Bool)) % 0.43/0.85 (define tptp.relati775585786_valid () (let ((_let_1 (@var "T5" (-> tptp.list_char tptp.int)))) (let ((_let_2 (@var "S7" (-> tptp.list_char tptp.int)))) (let ((_let_3 (@var "C4" tptp.com))) (let ((_let_4 (@var "T3" (-> tptp.list_char tptp.int)))) (let ((_let_5 (@var "S5" (-> tptp.list_char tptp.int)))) (let ((_let_6 (@var "C3" tptp.com))) (let ((_let_7 (@var "P3" (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool)))) (let ((_let_8 (@var "Q3" (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool)))) (lambda (@list _let_7 _let_6 _let_3 _let_8) (forall (@list _let_4 _let_1) (=> (_ (_ _let_8 _let_4) _let_1) (exists (@list _let_5 _let_2) (and (_ (_ _let_7 _let_5) _let_2) (_ (_ tptp.big_big_step (_ (_ tptp.produc1193801173ar_int _let_6) _let_5)) _let_4) (_ (_ tptp.big_big_step (_ (_ tptp.produc1193801173ar_int _let_3) _let_2)) _let_1))))))))))))))) % 0.43/0.85 (define tptp.relati186416454e_flip () (let ((_let_1 (@var "S5" (-> tptp.list_char tptp.int)))) (let ((_let_2 (@var "S7" (-> tptp.list_char tptp.int)))) (let ((_let_3 (@var "P3" (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))) % 0.43/0.85 (define tptp.bNF_Gr202451329ar_int () (let ((_let_1 (@var "A6" tptp.set_Pr1148378109ar_int))) (let ((_let_2 (@var "A5" tptp.produc1260470173ar_int))) (let ((_let_3 (@var "G" (-> tptp.produc1260470173ar_int tptp.list_char tptp.int)))) (let ((_let_4 (@var "F" (-> tptp.produc1260470173ar_int tptp.com)))) (let ((_let_5 (@var "Uu" tptp.produc1260470173ar_int))) (lambda (@list _let_1 _let_4 _let_3) (_ tptp.collec770796680ar_int (lambda (@list _let_5) (exists (@list _let_2) (and (= _let_5 (_ (_ tptp.produc1193801173ar_int (_ _let_4 _let_2)) (_ _let_3 _let_2))) (_ (_ tptp.member92250950ar_int _let_2) _let_1)))))))))))) % 0.43/0.85 (define tptp.bNF_Gr749752805at_nat () (let ((_let_1 (@var "A6" tptp.set_Pr1148378109ar_int))) (let ((_let_2 (@var "A5" tptp.produc1260470173ar_int))) (let ((_let_3 (@var "G" (-> tptp.produc1260470173ar_int tptp.nat)))) (let ((_let_4 (@var "F" (-> tptp.produc1260470173ar_int tptp.nat)))) (let ((_let_5 (@var "Uu" tptp.product_prod_nat_nat))) (lambda (@list _let_1 _let_4 _let_3) (_ tptp.collec7649004at_nat (lambda (@list _let_5) (exists (@list _let_2) (and (= _let_5 (_ (_ tptp.product_Pair_nat_nat (_ _let_4 _let_2)) (_ _let_3 _let_2))) (_ (_ tptp.member92250950ar_int _let_2) _let_1)))))))))))) % 0.43/0.85 (define tptp.bNF_Gr1247133574at_nat () (let ((_let_1 (@var "R2" tptp.set_Pr1986765409at_nat))) (let ((_let_2 (@var "A22" tptp.nat))) (let ((_let_3 (@var "A1" tptp.nat))) (let ((_let_4 (@var "F" (-> tptp.nat tptp.nat)))) (let ((_let_5 (@var "Uu" tptp.product_prod_nat_nat))) (lambda (@list _let_1 _let_4) (_ tptp.collec7649004at_nat (lambda (@list _let_5) (exists (@list _let_3 _let_2) (and (= _let_5 (_ (_ tptp.product_Pair_nat_nat (_ _let_4 _let_3)) (_ _let_4 _let_2))) (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat _let_3) _let_2)) _let_1)))))))))))) % 0.43/0.85 (define tptp.bNF_Gr1143394412nt_nat () (let ((_let_1 (@var "R2" tptp.set_Pr1986765409at_nat))) (let ((_let_2 (@var "A22" tptp.produc1260470173ar_int))) (let ((_let_3 (@var "F" (-> tptp.produc1260470173ar_int tptp.nat)))) (let ((_let_4 (@var "A1" tptp.produc1260470173ar_int))) (let ((_let_5 (@var "A6" tptp.set_Pr1148378109ar_int))) (let ((_let_6 (@var "Uu" tptp.produc1346207591ar_int))) (lambda (@list _let_5 _let_1 _let_3) (_ tptp.collec1834387154ar_int (lambda (@list _let_6) (exists (@list _let_4 _let_2) (and (= _let_6 (_ (_ tptp.produc317451735ar_int _let_4) _let_2)) (_ (_ tptp.member92250950ar_int _let_4) _let_5) (_ (_ tptp.member92250950ar_int _let_2) _let_5) (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat (_ _let_3 _let_4)) (_ _let_3 _let_2))) _let_1))))))))))))) % 0.43/0.85 (define tptp.bNF_Gr808751971at_nat () (let ((_let_1 (@var "R2" tptp.set_Pr1986765409at_nat))) (let ((_let_2 (@var "A22" tptp.nat))) (let ((_let_3 (@var "F" (-> tptp.nat tptp.nat)))) (let ((_let_4 (@var "A1" tptp.nat))) (let ((_let_5 (@var "A6" tptp.set_nat))) (let ((_let_6 (@var "Uu" tptp.product_prod_nat_nat))) (lambda (@list _let_5 _let_1 _let_3) (_ tptp.collec7649004at_nat (lambda (@list _let_6) (exists (@list _let_4 _let_2) (and (= _let_6 (_ (_ tptp.product_Pair_nat_nat _let_4) _let_2)) (_ (_ tptp.member_nat _let_4) _let_5) (_ (_ tptp.member_nat _let_2) _let_5) (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat (_ _let_3 _let_4)) (_ _let_3 _let_2))) _let_1))))))))))))) % 0.43/0.85 (define tptp.set_Co1954412371ar_int () (let ((_let_1 (@var "XS" tptp.set_li1762364675ar_int))) (let ((_let_2 (@var "Xs2" tptp.list_P1741976099ar_int))) (let ((_let_3 (@var "A6" tptp.set_Pr1148378109ar_int))) (let ((_let_4 (@var "X" tptp.produc1260470173ar_int))) (let ((_let_5 (@var "Z" tptp.list_P1741976099ar_int))) (lambda (@list _let_3 _let_1) (_ tptp.collec672902542ar_int (lambda (@list _let_5) (exists (@list _let_4 _let_2) (and (= _let_5 (_ (_ tptp.cons_P1254790739ar_int _let_4) _let_2)) (_ (_ tptp.member92250950ar_int _let_4) _let_3) (_ (_ tptp.member2052091212ar_int _let_2) _let_1)))))))))))) % 0.43/0.85 (define tptp.set_Cons_typerep () (let ((_let_1 (@var "XS" tptp.set_list_typerep))) (let ((_let_2 (@var "Xs2" tptp.list_typerep))) (let ((_let_3 (@var "A6" tptp.set_typerep))) (let ((_let_4 (@var "X" tptp.typerep))) (let ((_let_5 (@var "Z" tptp.list_typerep))) (lambda (@list _let_3 _let_1) (_ tptp.collect_list_typerep (lambda (@list _let_5) (exists (@list _let_4 _let_2) (and (= _let_5 (_ (_ tptp.cons_typerep _let_4) _let_2)) (_ (_ tptp.member_typerep _let_4) _let_3) (_ (_ tptp.member_list_typerep _let_2) _let_1)))))))))))) % 0.43/0.85 (define tptp.bNF_Gr457912949yperep () (let ((_let_1 (@var "Kl" tptp.set_list_typerep))) (let ((_let_2 (@var "Kl2" tptp.list_typerep))) (let ((_let_3 (@var "K2" tptp.typerep))) (lambda (@list _let_1 _let_3) (_ tptp.collect_list_typerep (lambda (@list _let_2) (_ (_ tptp.member_list_typerep (_ (_ tptp.cons_typerep _let_3) _let_2)) _let_1)))))))) % 0.43/0.85 (define @t1 () (_ tptp.bval tptp.b)) % 0.43/0.85 (define @t2 () (_ @t1 tptp.sa)) % 0.43/0.85 (define @t3 () (_ tptp.produc1193801173ar_int tptp.c)) % 0.43/0.85 (define @t4 () (_ @t3 tptp.sa)) % 0.43/0.85 (define @t5 () (_ (_ tptp.big_big_step @t4) tptp.ta)) % 0.43/0.85 (define @t6 () (_ tptp.produc1193801173ar_int tptp.c2)) % 0.43/0.85 (define @t7 () (_ @t6 tptp.s_a)) % 0.43/0.85 (define @t8 () (_ (_ tptp.big_big_step @t7) tptp.t_a)) % 0.43/0.85 (define @t9 () (_ tptp.suc tptp.ka)) % 0.43/0.85 (define @t10 () (_ (_ (_ tptp.relati23543761ar_int tptp.p) tptp.b) tptp.c)) % 0.43/0.85 (define @t11 () (_ @t10 @t9)) % 0.43/0.85 (define @t12 () (_ (_ @t11 tptp.sa) tptp.s_a)) % 0.43/0.85 (define @t13 () (_ @t10 tptp.k)) % 0.43/0.85 (define @t14 () (_ (_ tptp.while tptp.b) tptp.c)) % 0.43/0.85 (define @t15 () (_ tptp.produc1193801173ar_int @t14)) % 0.43/0.85 (define @t16 () (@var "Y2" tptp.nat)) % 0.43/0.85 (define @t17 () (@var "X2" tptp.nat)) % 0.43/0.85 (define @t18 () (= @t17 @t16)) % 0.43/0.85 (define @t19 () (_ tptp.suc @t17)) % 0.43/0.85 (define @t20 () (@var "Nat2" tptp.nat)) % 0.43/0.85 (define @t21 () (@var "Nat" tptp.nat)) % 0.43/0.85 (define @t22 () (_ tptp.suc @t20)) % 0.43/0.85 (define @t23 () (@var "Y1" tptp.nat)) % 0.43/0.85 (define @t24 () (@var "X1" tptp.nat)) % 0.43/0.85 (define @t25 () (@var "Y2" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t26 () (@var "X2" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t27 () (@var "Y1" tptp.com)) % 0.43/0.85 (define @t28 () (@var "X1" tptp.com)) % 0.43/0.85 (define @t29 () (@var "B2" tptp.nat)) % 0.43/0.85 (define @t30 () (@var "B" tptp.nat)) % 0.43/0.85 (define @t31 () (= @t30 @t29)) % 0.43/0.85 (define @t32 () (@var "A2" tptp.nat)) % 0.43/0.85 (define @t33 () (@var "A" tptp.nat)) % 0.43/0.85 (define @t34 () (= @t33 @t32)) % 0.43/0.85 (define @t35 () (_ (_ tptp.product_Pair_nat_nat @t33) @t30)) % 0.43/0.85 (define @t36 () (= @t35 (_ (_ tptp.product_Pair_nat_nat @t32) @t29))) % 0.43/0.85 (define @t37 () (@list @t33 @t30 @t32 @t29)) % 0.43/0.85 (define @t38 () (@var "B2" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t39 () (@var "B" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t40 () (= @t39 @t38)) % 0.43/0.85 (define @t41 () (@var "A2" tptp.com)) % 0.43/0.85 (define @t42 () (@var "A" tptp.com)) % 0.43/0.85 (define @t43 () (= @t42 @t41)) % 0.43/0.85 (define @t44 () (= (_ (_ tptp.produc1193801173ar_int @t42) @t39) (_ (_ tptp.produc1193801173ar_int @t41) @t38))) % 0.43/0.85 (define @t45 () (@list @t42 @t39 @t41 @t38)) % 0.43/0.85 (define @t46 () (@var "T2" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t47 () (@var "S4" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t48 () (@var "T" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t49 () (@var "S3" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t50 () (_ @t10 tptp.ka)) % 0.43/0.85 (define @t51 () (@list @t49 @t47)) % 0.43/0.85 (define @t52 () (@var "S2" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t53 () (@var "S" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t54 () (@var "U" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t55 () (@var "T3" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t56 () (@var "S5" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t57 () (@var "C" tptp.com)) % 0.43/0.85 (define @t58 () (_ tptp.produc1193801173ar_int @t57)) % 0.43/0.85 (define @t59 () (_ (_ tptp.big_big_step (_ @t58 @t56)) @t55)) % 0.43/0.85 (define @t60 () (@var "C2" tptp.com)) % 0.43/0.85 (define @t61 () (_ tptp.produc1193801173ar_int @t60)) % 0.43/0.85 (define @t62 () (_ (_ tptp.big_big_step (_ @t61 @t56)) @t55)) % 0.43/0.85 (define @t63 () (@list @t56 @t55)) % 0.43/0.85 (define @t64 () (@var "T4" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t65 () (@var "S6" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t66 () (_ tptp.big_big_step (_ @t58 @t65))) % 0.43/0.85 (define @t67 () (_ @t66 @t64)) % 0.43/0.85 (define @t68 () (@var "T5" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t69 () (@var "Q_2" (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool))) % 0.43/0.85 (define @t70 () (@var "Q_1" (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool))) % 0.43/0.85 (define @t71 () (@list @t55 @t68)) % 0.43/0.85 (define @t72 () (lambda @t71 (or (_ (_ @t70 @t55) @t68) (_ (_ @t69 @t55) @t68)))) % 0.43/0.85 (define @t73 () (@var "S7" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t74 () (@var "P_2" (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool))) % 0.43/0.85 (define @t75 () (@var "P_1" (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool))) % 0.43/0.85 (define @t76 () (@list @t56 @t73)) % 0.43/0.85 (define @t77 () (lambda @t76 (or (_ (_ @t75 @t56) @t73) (_ (_ @t74 @t56) @t73)))) % 0.43/0.85 (define @t78 () (@list @t75 @t57 @t60 @t70 @t74 @t69)) % 0.43/0.85 (define @t79 () (@var "Q2" (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool))) % 0.43/0.85 (define @t80 () (@var "P2" (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool))) % 0.43/0.85 (define @t81 () (@var "Q" (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool))) % 0.43/0.85 (define @t82 () (forall @t51 (=> (_ (_ @t79 @t49) @t47) (_ (_ @t81 @t49) @t47)))) % 0.43/0.85 (define @t83 () (@var "P" (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool))) % 0.43/0.85 (define @t84 () (forall @t51 (=> (_ (_ @t83 @t49) @t47) (_ (_ @t80 @t49) @t47)))) % 0.43/0.85 (define @t85 () (_ tptp.relati775585786_valid @t83)) % 0.43/0.85 (define @t86 () (_ @t85 @t57)) % 0.43/0.85 (define @t87 () (_ @t86 @t60)) % 0.43/0.85 (define @t88 () (_ @t87 @t81)) % 0.43/0.85 (define @t89 () (@list @t83 @t57 @t60 @t81 @t80 @t79)) % 0.43/0.85 (define @t90 () (@var "B" tptp.bexp)) % 0.43/0.85 (define @t91 () (_ tptp.while @t90)) % 0.43/0.85 (define @t92 () (_ @t91 @t57)) % 0.43/0.85 (define @t93 () (@var "K" tptp.nat)) % 0.43/0.85 (define @t94 () (_ (_ (_ tptp.relati23543761ar_int @t83) @t90) @t57)) % 0.43/0.85 (define @t95 () (_ @t94 @t93)) % 0.43/0.85 (define @t96 () (_ (_ (_ (_ tptp.relati775585786_valid @t95) @t92) @t60) @t81)) % 0.43/0.85 (define @t97 () (_ @t94 (_ tptp.suc @t93))) % 0.43/0.85 (define @t98 () (@list @t83 @t90 @t57 @t93 @t60 @t81)) % 0.43/0.85 (define @t99 () (_ tptp.produc1193801173ar_int (_ @t91 @t60))) % 0.43/0.85 (define @t100 () (@var "T6" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t101 () (_ (_ tptp.big_big_step (_ @t61 @t49)) @t100)) % 0.43/0.85 (define @t102 () (@list @t49 @t100)) % 0.43/0.85 (define @t103 () (forall @t102 (= (_ (_ tptp.big_big_step (_ @t58 @t49)) @t100) @t101))) % 0.43/0.85 (define @t104 () (_ tptp.produc1193801173ar_int @t92)) % 0.43/0.85 (define @t105 () (_ tptp.big_big_step (_ @t104 @t53))) % 0.43/0.85 (define @t106 () (_ @t105 @t48)) % 0.43/0.85 (define @t107 () (_ tptp.big_big_step (_ @t104 @t65))) % 0.43/0.85 (define @t108 () (_ @t107 @t64)) % 0.43/0.85 (define @t109 () (@list @t65 @t64)) % 0.43/0.85 (define @t110 () (_ tptp.bval @t90)) % 0.43/0.85 (define @t111 () (_ @t110 @t53)) % 0.43/0.85 (define @t112 () (not @t111)) % 0.43/0.85 (define @t113 () (@var "S_3" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t114 () (@var "S_1" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t115 () (@var "S_2" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t116 () (@var "S_22" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t117 () (_ tptp.big_big_step (_ @t58 @t53))) % 0.43/0.85 (define @t118 () (@list @t116)) % 0.43/0.85 (define @t119 () (= @t48 @t53)) % 0.43/0.85 (define @t120 () (@var "Prod" tptp.product_prod_nat_nat)) % 0.43/0.85 (define @t121 () (@var "P" (-> tptp.product_prod_nat_nat Bool))) % 0.43/0.85 (define @t122 () (@var "B3" tptp.nat)) % 0.43/0.85 (define @t123 () (@var "A3" tptp.nat)) % 0.43/0.85 (define @t124 () (_ (_ tptp.product_Pair_nat_nat @t123) @t122)) % 0.43/0.85 (define @t125 () (@list @t123 @t122)) % 0.43/0.85 (define @t126 () (forall @t125 (_ @t121 @t124))) % 0.43/0.85 (define @t127 () (@var "Prod" tptp.produc1260470173ar_int)) % 0.43/0.85 (define @t128 () (@var "P" (-> tptp.produc1260470173ar_int Bool))) % 0.43/0.85 (define @t129 () (@var "B3" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t130 () (@var "A3" tptp.com)) % 0.43/0.85 (define @t131 () (_ (_ tptp.produc1193801173ar_int @t130) @t129)) % 0.43/0.85 (define @t132 () (@list @t130 @t129)) % 0.43/0.85 (define @t133 () (forall @t132 (_ @t128 @t131))) % 0.43/0.85 (define @t134 () (@var "Y" tptp.product_prod_nat_nat)) % 0.43/0.85 (define @t135 () (@var "Y" tptp.produc1260470173ar_int)) % 0.43/0.85 (define @t136 () (@var "P4" tptp.product_prod_nat_nat)) % 0.43/0.85 (define @t137 () (@var "P4" tptp.produc1260470173ar_int)) % 0.43/0.85 (define @t138 () (@var "A" tptp.produc1260470173ar_int)) % 0.43/0.85 (define @t139 () (@var "A4" tptp.set_Pr1148378109ar_int)) % 0.43/0.85 (define @t140 () (@var "X" tptp.produc1260470173ar_int)) % 0.43/0.85 (define @t141 () (_ tptp.member92250950ar_int @t140)) % 0.43/0.85 (define @t142 () (@var "Y3" tptp.nat)) % 0.43/0.85 (define @t143 () (@var "X3" tptp.nat)) % 0.43/0.85 (define @t144 () (_ tptp.product_Pair_nat_nat @t143)) % 0.43/0.85 (define @t145 () (@list @t143 @t142)) % 0.43/0.85 (define @t146 () (@var "Y3" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t147 () (@var "X3" tptp.com)) % 0.43/0.85 (define @t148 () (@var "N" tptp.nat)) % 0.43/0.85 (define @t149 () (_ tptp.suc @t148)) % 0.43/0.85 (define @t150 () (@list @t148)) % 0.43/0.85 (define @t151 () (@var "Y" tptp.nat)) % 0.43/0.85 (define @t152 () (@var "X4" tptp.nat)) % 0.43/0.85 (define @t153 () (= @t152 @t151)) % 0.43/0.85 (define @t154 () (@list @t152 @t151)) % 0.43/0.85 (define @t155 () (@var "C5" tptp.com)) % 0.43/0.85 (define @t156 () (_ tptp.produc1193801173ar_int @t155)) % 0.43/0.85 (define @t157 () (@var "Y52" tptp.com)) % 0.43/0.85 (define @t158 () (@var "X52" tptp.com)) % 0.43/0.85 (define @t159 () (@var "Y51" tptp.bexp)) % 0.43/0.85 (define @t160 () (@var "X51" tptp.bexp)) % 0.43/0.85 (define @t161 () (_ (_ tptp.while @t160) @t158)) % 0.43/0.85 (define @t162 () (_ (_ (_ @t85 @t92) @t60) @t81)) % 0.43/0.85 (define @t163 () (_ @t110 @t56)) % 0.43/0.85 (define @t164 () (not @t163)) % 0.43/0.85 (define @t165 () (_ (_ @t83 @t56) @t73)) % 0.43/0.85 (define @t166 () (lambda @t76 (and @t165 @t164))) % 0.43/0.85 (define @t167 () (_ tptp.relati775585786_valid @t166)) % 0.43/0.85 (define @t168 () (@list @t83 @t90 @t60 @t81 @t57)) % 0.43/0.85 (define @t169 () (_ tptp.seq @t57)) % 0.43/0.85 (define @t170 () (_ @t169 @t92)) % 0.43/0.85 (define @t171 () (lambda @t76 (and @t165 @t163))) % 0.43/0.85 (define @t172 () (_ tptp.relati775585786_valid @t171)) % 0.43/0.85 (define @t173 () (@list @t83 @t90 @t57 @t60 @t81)) % 0.43/0.85 (define @t174 () (@var "T7" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t175 () (@var "S8" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t176 () (_ (_ tptp.big_big_step (_ @t61 @t175)) @t174)) % 0.43/0.85 (define @t177 () (_ (_ @t81 @t100) @t174)) % 0.43/0.85 (define @t178 () (@list @t100 @t174)) % 0.43/0.85 (define @t179 () (forall @t178 (=> @t177 (exists (@list @t175) (and (_ (_ @t83 @t100) @t175) @t176))))) % 0.43/0.85 (define @t180 () (@list @t81 @t83 @t60)) % 0.43/0.85 (define @t181 () (@var "P" (-> tptp.nat (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool))) % 0.43/0.85 (define @t182 () (@var "N3" tptp.nat)) % 0.43/0.85 (define @t183 () (_ tptp.plus_plus_nat @t93)) % 0.43/0.85 (define @t184 () (@list @t65 @t175)) % 0.43/0.85 (define @t185 () (@var "N2" tptp.nat)) % 0.43/0.85 (define @t186 () (_ tptp.suc @t185)) % 0.43/0.85 (define @t187 () (_ tptp.relati186416454e_flip @t81)) % 0.43/0.85 (define @t188 () (_ tptp.relati186416454e_flip @t83)) % 0.43/0.85 (define @t189 () (@var "S9" tptp.set_Pr1986765409at_nat)) % 0.43/0.85 (define @t190 () (@var "R" tptp.set_Pr1986765409at_nat)) % 0.43/0.85 (define @t191 () (@var "Y4" tptp.nat)) % 0.43/0.85 (define @t192 () (@var "X" tptp.nat)) % 0.43/0.85 (define @t193 () (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t192) @t191))) % 0.43/0.85 (define @t194 () (@list @t192 @t191)) % 0.43/0.85 (define @t195 () (@var "S9" tptp.set_Pr1148378109ar_int)) % 0.43/0.85 (define @t196 () (@var "R" tptp.set_Pr1148378109ar_int)) % 0.43/0.85 (define @t197 () (@var "Y4" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t198 () (@var "X" tptp.com)) % 0.43/0.85 (define @t199 () (_ tptp.member92250950ar_int (_ (_ tptp.produc1193801173ar_int @t198) @t197))) % 0.43/0.85 (define @t200 () (@list @t198 @t197)) % 0.43/0.85 (define @t201 () (@var "Y32" tptp.com)) % 0.43/0.85 (define @t202 () (@var "X32" tptp.com)) % 0.43/0.85 (define @t203 () (@var "Y31" tptp.com)) % 0.43/0.85 (define @t204 () (@var "X31" tptp.com)) % 0.43/0.85 (define @t205 () (_ (_ tptp.seq @t204) @t202)) % 0.43/0.85 (define @t206 () (@var "M" tptp.nat)) % 0.43/0.85 (define @t207 () (_ tptp.plus_plus_nat @t206)) % 0.43/0.85 (define @t208 () (_ @t207 @t148)) % 0.43/0.85 (define @t209 () (_ tptp.suc @t208)) % 0.43/0.85 (define @t210 () (_ @t207 @t149)) % 0.43/0.85 (define @t211 () (@list @t206 @t148)) % 0.43/0.85 (define @t212 () (@var "R" (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool))) % 0.43/0.85 (define @t213 () (@var "D2" tptp.com)) % 0.43/0.85 (define @t214 () (@var "D" tptp.com)) % 0.43/0.85 (define @t215 () (_ @t169 @t214)) % 0.43/0.85 (define @t216 () (_ @t85 @t215)) % 0.43/0.85 (define @t217 () (_ (_ tptp.relati775585786_valid @t81) @t214)) % 0.43/0.85 (define @t218 () (_ tptp.produc1193801173ar_int tptp.skip)) % 0.43/0.85 (define @t219 () (_ (_ @t216 @t60) @t212)) % 0.43/0.85 (define @t220 () (@list @t83 @t57 @t60 @t81 @t214 @t212)) % 0.43/0.85 (define @t221 () (@list @t204 @t202)) % 0.43/0.85 (define @t222 () (@list @t160 @t158)) % 0.43/0.85 (define @t223 () (_ tptp.suc @t206)) % 0.43/0.85 (define @t224 () (_ (_ tptp.plus_plus_nat @t223) @t148)) % 0.43/0.85 (define @t225 () (@var "A4" tptp.nat)) % 0.43/0.85 (define @t226 () (= @t225 (_ @t183 @t33))) % 0.43/0.85 (define @t227 () (@var "C22" tptp.com)) % 0.43/0.85 (define @t228 () (@var "U2" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t229 () (_ @t81 @t228)) % 0.43/0.85 (define @t230 () (_ tptp.produc1193801173ar_int @t227)) % 0.43/0.85 (define @t231 () (_ (_ tptp.big_big_step (_ @t61 @t73)) @t68)) % 0.43/0.85 (define @t232 () (@var "C1" tptp.com)) % 0.43/0.85 (define @t233 () (_ tptp.produc1193801173ar_int @t232)) % 0.43/0.85 (define @t234 () (_ (_ tptp.big_big_step (_ @t233 @t56)) @t55)) % 0.43/0.85 (define @t235 () (lambda @t71 (exists @t76 (and @t165 @t234 @t231 (exists (@list @t228) (and (_ (_ tptp.big_big_step (_ @t230 @t55)) @t228) (_ @t229 @t68))))))) % 0.43/0.85 (define @t236 () (_ tptp.seq @t232)) % 0.43/0.85 (define @t237 () (_ @t236 @t227)) % 0.43/0.85 (define @t238 () (_ (_ (_ @t85 @t237) @t60) @t81)) % 0.43/0.85 (define @t239 () (@list @t83 @t232 @t227 @t60 @t81)) % 0.43/0.85 (define @t240 () (@var "S32" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t241 () (@var "S1" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t242 () (@var "C32" tptp.com)) % 0.43/0.85 (define @t243 () (@var "C_2" tptp.com)) % 0.43/0.85 (define @t244 () (@var "C_1" tptp.com)) % 0.43/0.85 (define @t245 () (_ tptp.produc1193801173ar_int @t243)) % 0.43/0.85 (define @t246 () (_ tptp.produc1193801173ar_int @t244)) % 0.43/0.85 (define @t247 () (_ tptp.big_big_step (_ @t218 @t53))) % 0.43/0.85 (define @t248 () (@var "U3" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t249 () (@var "C" tptp.nat)) % 0.43/0.85 (define @t250 () (= @t30 @t249)) % 0.43/0.85 (define @t251 () (_ tptp.plus_plus_nat @t30)) % 0.43/0.85 (define @t252 () (_ @t251 @t33)) % 0.43/0.85 (define @t253 () (= @t252 (_ (_ tptp.plus_plus_nat @t249) @t33))) % 0.43/0.85 (define @t254 () (@list @t30 @t33 @t249)) % 0.43/0.85 (define @t255 () (_ tptp.plus_plus_nat @t33)) % 0.43/0.85 (define @t256 () (_ @t255 @t249)) % 0.43/0.85 (define @t257 () (_ @t255 @t30)) % 0.43/0.85 (define @t258 () (= @t257 @t256)) % 0.43/0.85 (define @t259 () (@list @t33 @t30 @t249)) % 0.43/0.85 (define @t260 () (_ (_ @t81 @t55) @t68)) % 0.43/0.85 (define @t261 () (_ tptp.if @t90)) % 0.43/0.85 (define @t262 () (_ (_ @t261 @t232) @t227)) % 0.43/0.85 (define @t263 () (@list @t90 @t57 @t65 @t64)) % 0.43/0.85 (define @t264 () (_ (_ @t261 @t244) @t243)) % 0.43/0.85 (define @t265 () (_ (_ (_ @t85 @t264) @t60) @t81)) % 0.43/0.85 (define @t266 () (@var "A5" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t267 () (_ @t110 @t266)) % 0.43/0.85 (define @t268 () (@var "C3" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t269 () (_ (_ @t83 @t266) @t268)) % 0.43/0.85 (define @t270 () (@list @t266 @t268)) % 0.43/0.85 (define @t271 () (@list @t83 @t90 @t244 @t60 @t81 @t243)) % 0.43/0.85 (define @t272 () (@list @t83 @t90 @t243 @t60 @t81 @t244)) % 0.43/0.85 (define @t273 () (_ tptp.relati2102071307_hoare @t83)) % 0.43/0.85 (define @t274 () (_ (_ (_ @t273 @t92) @t60) @t81)) % 0.43/0.85 (define @t275 () (_ tptp.relati2102071307_hoare @t171)) % 0.43/0.85 (define @t276 () (@var "Y43" tptp.com)) % 0.43/0.85 (define @t277 () (@var "X43" tptp.com)) % 0.43/0.85 (define @t278 () (@var "Y42" tptp.com)) % 0.43/0.85 (define @t279 () (@var "X42" tptp.com)) % 0.43/0.85 (define @t280 () (@var "Y41" tptp.bexp)) % 0.43/0.85 (define @t281 () (@var "X41" tptp.bexp)) % 0.43/0.85 (define @t282 () (_ (_ (_ tptp.if @t281) @t279) @t277)) % 0.43/0.85 (define @t283 () (_ @t273 tptp.skip)) % 0.43/0.85 (define @t284 () (_ @t283 tptp.skip)) % 0.43/0.85 (define @t285 () (_ (_ (_ tptp.relati2102071307_hoare @t80) @t57) @t60)) % 0.43/0.85 (define @t286 () (_ (_ @t273 @t57) @t60)) % 0.43/0.85 (define @t287 () (_ @t286 @t81)) % 0.43/0.85 (define @t288 () (_ (_ (_ @t273 @t264) @t60) @t81)) % 0.43/0.85 (define @t289 () (_ tptp.relati2102071307_hoare @t166)) % 0.43/0.85 (define @t290 () (@list @t83 @t57 @t60 @t81)) % 0.43/0.85 (define @t291 () (@list @t281 @t279 @t277)) % 0.43/0.85 (define @t292 () (@var "C12" tptp.com)) % 0.43/0.85 (define @t293 () (@var "B1" tptp.bexp)) % 0.43/0.85 (define @t294 () (_ tptp.if @t293)) % 0.43/0.85 (define @t295 () (@var "C11" tptp.com)) % 0.43/0.85 (define @t296 () (@var "B22" tptp.bexp)) % 0.43/0.85 (define @t297 () (_ tptp.if @t296)) % 0.43/0.85 (define @t298 () (_ @t255 (_ @t251 @t249))) % 0.43/0.85 (define @t299 () (@var "L" tptp.nat)) % 0.43/0.85 (define @t300 () (@var "J" tptp.nat)) % 0.43/0.85 (define @t301 () (@var "I" tptp.nat)) % 0.43/0.85 (define @t302 () (_ @t183 @t257)) % 0.43/0.85 (define @t303 () (@var "B4" tptp.nat)) % 0.43/0.85 (define @t304 () (@var "A5" tptp.nat)) % 0.43/0.85 (define @t305 () (@var "B5" tptp.nat)) % 0.43/0.85 (define @t306 () (_ (_ tptp.big_big_step (_ (_ tptp.produc1193801173ar_int @t264) @t53)) @t48)) % 0.43/0.85 (define @t307 () (@var "X522" tptp.com)) % 0.43/0.85 (define @t308 () (@var "X512" tptp.bexp)) % 0.43/0.85 (define @t309 () (@var "Y" tptp.com)) % 0.43/0.85 (define @t310 () (@var "X432" tptp.com)) % 0.43/0.85 (define @t311 () (@var "X422" tptp.com)) % 0.43/0.85 (define @t312 () (@var "X412" tptp.bexp)) % 0.43/0.85 (define @t313 () (@var "X322" tptp.com)) % 0.43/0.85 (define @t314 () (@var "X312" tptp.com)) % 0.43/0.85 (define @t315 () (@var "X22" tptp.aexp)) % 0.43/0.85 (define @t316 () (@var "X21" tptp.list_char)) % 0.43/0.85 (define @t317 () (@var "Com" tptp.com)) % 0.43/0.85 (define @t318 () (@var "P" (-> tptp.com Bool))) % 0.43/0.85 (define @t319 () (@var "X23" tptp.com)) % 0.43/0.85 (define @t320 () (@var "X12" tptp.bexp)) % 0.43/0.85 (define @t321 () (_ @t318 @t319)) % 0.43/0.85 (define @t322 () (@var "X33" tptp.com)) % 0.43/0.85 (define @t323 () (@var "X12" tptp.com)) % 0.43/0.85 (define @t324 () (@var "X23" tptp.aexp)) % 0.43/0.85 (define @t325 () (@var "X12" tptp.list_char)) % 0.43/0.85 (define @t326 () (_ @t181 tptp.zero_zero_nat)) % 0.43/0.85 (define @t327 () (@var "N4" tptp.nat)) % 0.43/0.85 (define @t328 () (lambda @t76 (exists (@list @t327) (_ (_ (_ @t181 @t327) @t56) @t73)))) % 0.43/0.85 (define @t329 () (_ @t181 @t186)) % 0.43/0.85 (define @t330 () (lambda @t76 (and (_ (_ (_ @t181 @t185) @t56) @t73) @t163))) % 0.43/0.85 (define @t331 () (@list @t185)) % 0.43/0.85 (define @t332 () (@list @t181 @t90 @t57 @t60 @t81)) % 0.43/0.85 (define @t333 () (@var "Y22" tptp.aexp)) % 0.43/0.85 (define @t334 () (@var "X222" tptp.aexp)) % 0.43/0.85 (define @t335 () (@var "Y21" tptp.list_char)) % 0.43/0.85 (define @t336 () (@var "X212" tptp.list_char)) % 0.43/0.85 (define @t337 () (_ (_ tptp.assign @t336) @t334)) % 0.43/0.85 (define @t338 () (_ tptp.plus_plus_nat tptp.zero_zero_nat)) % 0.43/0.85 (define @t339 () (@list @t33)) % 0.43/0.85 (define @t340 () (= @t30 tptp.zero_zero_nat)) % 0.43/0.85 (define @t341 () (@list @t30 @t33)) % 0.43/0.85 (define @t342 () (@list @t33 @t30)) % 0.43/0.85 (define @t343 () (= @t151 tptp.zero_zero_nat)) % 0.43/0.85 (define @t344 () (= @t152 tptp.zero_zero_nat)) % 0.43/0.85 (define @t345 () (and @t344 @t343)) % 0.43/0.85 (define @t346 () (_ (_ tptp.plus_plus_nat @t152) @t151)) % 0.43/0.85 (define @t347 () (= @t148 tptp.zero_zero_nat)) % 0.43/0.85 (define @t348 () (= @t206 tptp.zero_zero_nat)) % 0.43/0.85 (define @t349 () (@list @t206)) % 0.43/0.85 (define @t350 () (@list @t20)) % 0.43/0.85 (define @t351 () (@var "P" (-> tptp.nat Bool))) % 0.43/0.85 (define @t352 () (_ @t351 @t186)) % 0.43/0.85 (define @t353 () (_ @t351 @t185)) % 0.43/0.85 (define @t354 () (_ @t351 tptp.zero_zero_nat)) % 0.43/0.85 (define @t355 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 0.43/0.85 (define @t356 () (_ tptp.suc @t142)) % 0.43/0.85 (define @t357 () (_ @t355 @t143)) % 0.43/0.85 (define @t358 () (@list @t142)) % 0.43/0.85 (define @t359 () (@list @t143)) % 0.43/0.85 (define @t360 () (@var "Nat3" tptp.nat)) % 0.43/0.85 (define @t361 () (_ tptp.suc @t360)) % 0.43/0.85 (define @t362 () (@list @t360)) % 0.43/0.85 (define @t363 () (@var "M2" tptp.nat)) % 0.43/0.85 (define @t364 () (@var "G2" (-> tptp.produc1260470173ar_int tptp.list_char tptp.int))) % 0.43/0.85 (define @t365 () (@var "F2" (-> tptp.produc1260470173ar_int tptp.com))) % 0.43/0.85 (define @t366 () (@var "C" (-> tptp.list_char tptp.int))) % 0.43/0.85 (define @t367 () (@var "B" tptp.com)) % 0.43/0.85 (define @t368 () (@var "X4" tptp.produc1260470173ar_int)) % 0.43/0.85 (define @t369 () (_ (_ tptp.member92250950ar_int @t368) @t139)) % 0.43/0.85 (define @t370 () (@var "G2" (-> tptp.produc1260470173ar_int tptp.nat))) % 0.43/0.85 (define @t371 () (@var "F2" (-> tptp.produc1260470173ar_int tptp.nat))) % 0.43/0.85 (define @t372 () (@list @t336 @t334)) % 0.43/0.85 (define @t373 () (_ tptp.suc tptp.zero_zero_nat)) % 0.43/0.85 (define @t374 () (or (and (= @t206 @t373) @t347) (and @t348 (= @t148 @t373)))) % 0.43/0.85 (define @t375 () (@var "X4" tptp.com)) % 0.43/0.85 (define @t376 () (@var "Y" tptp.typerep)) % 0.43/0.85 (define @t377 () (@var "X4" tptp.typerep)) % 0.43/0.85 (define @t378 () (= @t377 @t376)) % 0.43/0.85 (define @t379 () (_ tptp.size_size_typerep @t377)) % 0.43/0.85 (define @t380 () (_ @t355 @t123)) % 0.43/0.85 (define @t381 () (_ @t380 @t122)) % 0.43/0.85 (define @t382 () (@var "R3" tptp.nat)) % 0.43/0.85 (define @t383 () (@var "Q4" tptp.nat)) % 0.43/0.85 (define @t384 () (@var "S2" tptp.nat)) % 0.43/0.85 (define @t385 () (_ tptp.product_Pair_nat_nat @t382)) % 0.43/0.85 (define @t386 () (@var "S" tptp.nat)) % 0.43/0.85 (define @t387 () (@var "R3" tptp.com)) % 0.43/0.85 (define @t388 () (_ tptp.produc1193801173ar_int @t387)) % 0.43/0.85 (define @t389 () (@var "X2" tptp.list_typerep)) % 0.43/0.85 (define @t390 () (@var "X1" tptp.literal)) % 0.43/0.85 (define @t391 () (_ (_ tptp.typerep2 @t390) @t389)) % 0.43/0.85 (define @t392 () (@list @t390 @t389)) % 0.43/0.85 (define @t393 () (@var "X222" tptp.list_typerep)) % 0.43/0.85 (define @t394 () (@var "X4" (-> tptp.typerep tptp.nat))) % 0.43/0.85 (define @t395 () (_ tptp.size_list_typerep @t394)) % 0.43/0.85 (define @t396 () (@var "X212" tptp.typerep)) % 0.43/0.85 (define @t397 () (_ (_ tptp.cons_typerep @t396) @t393)) % 0.43/0.85 (define @t398 () (@var "Ys" tptp.list_typerep)) % 0.43/0.85 (define @t399 () (@var "Y4" tptp.typerep)) % 0.43/0.85 (define @t400 () (@var "Xs" tptp.list_typerep)) % 0.43/0.85 (define @t401 () (exists (@list @t399 @t398) (and (= @t400 (_ (_ tptp.cons_typerep @t399) @t398)) (= (_ tptp.size_s416147576yperep @t398) @t148)))) % 0.43/0.85 (define @t402 () (_ tptp.size_s416147576yperep @t400)) % 0.43/0.85 (define @t403 () (_ tptp.cons_typerep @t377)) % 0.43/0.85 (define @t404 () (_ @t403 @t400)) % 0.43/0.85 (define @t405 () (@var "R3" tptp.set_Pr1097818217yperep)) % 0.43/0.85 (define @t406 () (_ tptp.lex_typerep @t405)) % 0.43/0.85 (define @t407 () (@var "Ys2" tptp.list_typerep)) % 0.43/0.85 (define @t408 () (_ tptp.produc1695567329yperep @t400)) % 0.43/0.85 (define @t409 () (_ tptp.member1812711762yperep (_ @t408 @t407))) % 0.43/0.85 (define @t410 () (_ tptp.size_s416147576yperep @t407)) % 0.43/0.85 (define @t411 () (= @t402 @t410)) % 0.43/0.85 (define @t412 () (_ tptp.produc2071514689yperep @t377)) % 0.43/0.85 (define @t413 () (_ (_ tptp.member100911538yperep (_ @t412 @t376)) @t405)) % 0.43/0.85 (define @t414 () (_ tptp.cons_typerep @t376)) % 0.43/0.85 (define @t415 () (_ @t414 @t407)) % 0.43/0.85 (define @t416 () (_ tptp.produc1695567329yperep @t404)) % 0.43/0.85 (define @t417 () (_ tptp.member1812711762yperep (_ @t416 @t415))) % 0.43/0.85 (define @t418 () (@list @t377 @t400 @t376 @t407 @t405)) % 0.43/0.85 (define @t419 () (@var "R3" tptp.set_Pr1986765409at_nat)) % 0.43/0.85 (define @t420 () (_ tptp.lex_nat @t419)) % 0.43/0.85 (define @t421 () (@var "Ys2" tptp.list_nat)) % 0.43/0.85 (define @t422 () (@var "Xs" tptp.list_nat)) % 0.43/0.85 (define @t423 () (_ tptp.produc1625736153st_nat @t422)) % 0.43/0.85 (define @t424 () (_ tptp.member1926390090st_nat (_ @t423 @t421))) % 0.43/0.85 (define @t425 () (_ tptp.product_Pair_nat_nat @t152)) % 0.43/0.85 (define @t426 () (_ (_ tptp.member701585322at_nat (_ @t425 @t151)) @t419)) % 0.43/0.85 (define @t427 () (_ tptp.cons_nat @t151)) % 0.43/0.85 (define @t428 () (_ @t427 @t421)) % 0.43/0.85 (define @t429 () (_ tptp.cons_nat @t152)) % 0.43/0.85 (define @t430 () (_ tptp.produc1625736153st_nat (_ @t429 @t422))) % 0.43/0.85 (define @t431 () (_ tptp.member1926390090st_nat (_ @t430 @t428))) % 0.43/0.85 (define @t432 () (@list @t152 @t422 @t151 @t421 @t419)) % 0.43/0.85 (define @t433 () (_ tptp.lexord_typerep @t405)) % 0.43/0.85 (define @t434 () (@var "Y" tptp.list_typerep)) % 0.43/0.85 (define @t435 () (@var "X4" tptp.list_typerep)) % 0.43/0.85 (define @t436 () (@var "B" tptp.typerep)) % 0.43/0.85 (define @t437 () (@var "A" tptp.typerep)) % 0.43/0.85 (define @t438 () (_ (_ tptp.member100911538yperep (_ (_ tptp.produc2071514689yperep @t437) @t436)) @t405)) % 0.43/0.85 (define @t439 () (_ (_ tptp.cons_typerep @t436) @t434)) % 0.43/0.85 (define @t440 () (_ (_ tptp.cons_typerep @t437) @t435)) % 0.43/0.85 (define @t441 () (_ tptp.lexord_nat @t419)) % 0.43/0.85 (define @t442 () (@var "Y" tptp.list_nat)) % 0.43/0.85 (define @t443 () (@var "X4" tptp.list_nat)) % 0.43/0.85 (define @t444 () (_ (_ tptp.member1926390090st_nat (_ (_ tptp.produc1625736153st_nat @t443) @t442)) @t441)) % 0.43/0.85 (define @t445 () (_ (_ tptp.member701585322at_nat @t35) @t419)) % 0.43/0.85 (define @t446 () (_ (_ tptp.cons_nat @t30) @t442)) % 0.43/0.85 (define @t447 () (_ (_ tptp.cons_nat @t33) @t443)) % 0.43/0.85 (define @t448 () (forall @t359 (not (_ (_ tptp.member701585322at_nat (_ @t144 @t143)) @t419)))) % 0.43/0.85 (define @t449 () (@var "Kl4" tptp.set_list_typerep)) % 0.43/0.85 (define @t450 () (@var "Kl3" tptp.list_typerep)) % 0.43/0.85 (define @t451 () (@var "K" tptp.typerep)) % 0.43/0.85 (define @t452 () (_ (_ tptp.cons_typerep @t451) @t450)) % 0.43/0.85 (define @t453 () (_ (_ tptp.bNF_Gr457912949yperep @t449) @t451)) % 0.43/0.85 (define @t454 () (_ tptp.listrel1_typerep @t405)) % 0.43/0.85 (define @t455 () (_ @t409 @t454)) % 0.43/0.85 (define @t456 () (= @t400 @t407)) % 0.43/0.85 (define @t457 () (_ tptp.listrel1_nat @t419)) % 0.43/0.85 (define @t458 () (_ @t424 @t457)) % 0.43/0.85 (define @t459 () (@var "Zs" tptp.list_typerep)) % 0.43/0.85 (define @t460 () (@list @t459)) % 0.43/0.85 (define @t461 () (@var "Y3" tptp.typerep)) % 0.43/0.85 (define @t462 () (@var "Zs" tptp.list_nat)) % 0.43/0.85 (define @t463 () (@list @t462)) % 0.43/0.85 (define @t464 () (@var "X3" tptp.typerep)) % 0.43/0.85 (define @t465 () (_ tptp.produc2071514689yperep @t464)) % 0.43/0.85 (define @t466 () (@list @t464)) % 0.43/0.85 (define @t467 () (@var "U" tptp.list_typerep)) % 0.43/0.85 (define @t468 () (_ tptp.append_typerep @t467)) % 0.43/0.85 (define @t469 () (@var "U" tptp.list_nat)) % 0.43/0.85 (define @t470 () (_ tptp.append_nat @t469)) % 0.43/0.85 (define @t471 () (@var "Vs" tptp.list_typerep)) % 0.43/0.85 (define @t472 () (@var "Us" tptp.list_typerep)) % 0.43/0.85 (define @t473 () (_ tptp.append_typerep @t472)) % 0.43/0.85 (define @t474 () (@var "Vs" tptp.list_nat)) % 0.43/0.85 (define @t475 () (@var "Us" tptp.list_nat)) % 0.43/0.85 (define @t476 () (_ tptp.append_nat @t475)) % 0.43/0.85 (define @t477 () (_ tptp.append_typerep @t407)) % 0.43/0.85 (define @t478 () (_ tptp.append_typerep @t400)) % 0.43/0.85 (define @t479 () (_ @t478 @t407)) % 0.43/0.85 (define @t480 () (@var "F2" (-> tptp.typerep tptp.nat))) % 0.43/0.85 (define @t481 () (_ tptp.size_list_typerep @t480)) % 0.43/0.85 (define @t482 () (@var "Qs" tptp.list_typerep)) % 0.43/0.85 (define @t483 () (@var "Zs2" tptp.list_typerep)) % 0.43/0.85 (define @t484 () (_ @t478 @t483)) % 0.43/0.85 (define @t485 () (@var "Zs2" tptp.list_nat)) % 0.43/0.85 (define @t486 () (_ tptp.append_nat @t422)) % 0.43/0.85 (define @t487 () (_ @t6 @t175)) % 0.43/0.85 (define @t488 () (_ (_ tptp.big_big_step @t487) tptp.t_a)) % 0.43/0.85 (define @t489 () (_ @t3 @t65)) % 0.43/0.85 (define @t490 () (_ (_ tptp.big_big_step @t489) tptp.ta)) % 0.43/0.85 (define @t491 () (_ @t1 @t65)) % 0.43/0.85 (define @t492 () (_ (_ @t11 @t65) @t175)) % 0.43/0.85 (define @t493 () (and @t492 @t491 @t490 @t488)) % 0.43/0.85 (define @t494 () (exists @t184 @t493)) % 0.43/0.85 (define @t495 () (not @t494)) % 0.43/0.85 (define @t496 () (@var "C4" tptp.com)) % 0.43/0.85 (define @t497 () (@var "C3" tptp.com)) % 0.43/0.85 (define @t498 () (@var "P3" (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool))) % 0.43/0.85 (define @t499 () (@var "Q3" (-> (-> tptp.list_char tptp.int) (-> tptp.list_char tptp.int) Bool))) % 0.43/0.85 (define @t500 () (lambda (@list @t498 @t497 @t496 @t499) (forall @t71 (=> (_ (_ @t499 @t55) @t68) (exists @t76 (and (_ (_ @t498 @t56) @t73) (_ (_ tptp.big_big_step (_ (_ tptp.produc1193801173ar_int @t497) @t56)) @t55) (_ (_ tptp.big_big_step (_ (_ tptp.produc1193801173ar_int @t496) @t73)) @t68))))))) % 0.43/0.85 (define @t501 () (lambda (@list @t498 @t56 @t73) (_ (_ @t498 @t73) @t56))) % 0.43/0.85 (define @t502 () (@var "A6" tptp.set_Pr1148378109ar_int)) % 0.43/0.85 (define @t503 () (@var "A5" tptp.produc1260470173ar_int)) % 0.43/0.85 (define @t504 () (_ (_ tptp.member92250950ar_int @t503) @t502)) % 0.43/0.85 (define @t505 () (@var "G" (-> tptp.produc1260470173ar_int tptp.list_char tptp.int))) % 0.43/0.85 (define @t506 () (@var "F" (-> tptp.produc1260470173ar_int tptp.com))) % 0.43/0.85 (define @t507 () (@var "Uu" tptp.produc1260470173ar_int)) % 0.43/0.85 (define @t508 () (@list @t503)) % 0.43/0.85 (define @t509 () (lambda (@list @t502 @t506 @t505) (_ tptp.collec770796680ar_int (lambda (@list @t507) (exists @t508 (and (= @t507 (_ (_ tptp.produc1193801173ar_int (_ @t506 @t503)) (_ @t505 @t503))) @t504)))))) % 0.43/0.85 (define @t510 () (@var "G" (-> tptp.produc1260470173ar_int tptp.nat))) % 0.43/0.85 (define @t511 () (@var "F" (-> tptp.produc1260470173ar_int tptp.nat))) % 0.43/0.85 (define @t512 () (@var "Uu" tptp.product_prod_nat_nat)) % 0.43/0.85 (define @t513 () (@list @t512)) % 0.43/0.85 (define @t514 () (lambda (@list @t502 @t511 @t510) (_ tptp.collec7649004at_nat (lambda @t513 (exists @t508 (and (= @t512 (_ (_ tptp.product_Pair_nat_nat (_ @t511 @t503)) (_ @t510 @t503))) @t504)))))) % 0.43/0.85 (define @t515 () (@var "R2" tptp.set_Pr1986765409at_nat)) % 0.43/0.85 (define @t516 () (@var "A22" tptp.nat)) % 0.43/0.85 (define @t517 () (@var "A1" tptp.nat)) % 0.43/0.85 (define @t518 () (_ (_ tptp.product_Pair_nat_nat @t517) @t516)) % 0.43/0.85 (define @t519 () (@var "F" (-> tptp.nat tptp.nat))) % 0.43/0.85 (define @t520 () (_ (_ tptp.product_Pair_nat_nat (_ @t519 @t517)) (_ @t519 @t516))) % 0.43/0.85 (define @t521 () (@list @t517 @t516)) % 0.43/0.85 (define @t522 () (lambda (@list @t515 @t519) (_ tptp.collec7649004at_nat (lambda @t513 (exists @t521 (and (= @t512 @t520) (_ (_ tptp.member701585322at_nat @t518) @t515))))))) % 0.43/0.85 (define @t523 () (@var "A22" tptp.produc1260470173ar_int)) % 0.43/0.85 (define @t524 () (@var "A1" tptp.produc1260470173ar_int)) % 0.43/0.85 (define @t525 () (@var "Uu" tptp.produc1346207591ar_int)) % 0.43/0.85 (define @t526 () (lambda (@list @t502 @t515 @t511) (_ tptp.collec1834387154ar_int (lambda (@list @t525) (exists (@list @t524 @t523) (and (= @t525 (_ (_ tptp.produc317451735ar_int @t524) @t523)) (_ (_ tptp.member92250950ar_int @t524) @t502) (_ (_ tptp.member92250950ar_int @t523) @t502) (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat (_ @t511 @t524)) (_ @t511 @t523))) @t515))))))) % 0.43/0.85 (define @t527 () (@var "A6" tptp.set_nat)) % 0.43/0.85 (define @t528 () (lambda (@list @t527 @t515 @t519) (_ tptp.collec7649004at_nat (lambda @t513 (exists @t521 (and (= @t512 @t518) (_ (_ tptp.member_nat @t517) @t527) (_ (_ tptp.member_nat @t516) @t527) (_ (_ tptp.member701585322at_nat @t520) @t515))))))) % 0.43/0.85 (define @t529 () (@var "XS" tptp.set_li1762364675ar_int)) % 0.43/0.85 (define @t530 () (@var "Xs2" tptp.list_P1741976099ar_int)) % 0.43/0.85 (define @t531 () (@var "Z" tptp.list_P1741976099ar_int)) % 0.43/0.85 (define @t532 () (lambda (@list @t502 @t529) (_ tptp.collec672902542ar_int (lambda (@list @t531) (exists (@list @t140 @t530) (and (= @t531 (_ (_ tptp.cons_P1254790739ar_int @t140) @t530)) (_ @t141 @t502) (_ (_ tptp.member2052091212ar_int @t530) @t529))))))) % 0.43/0.85 (define @t533 () (@var "XS" tptp.set_list_typerep)) % 0.43/0.85 (define @t534 () (@var "Xs2" tptp.list_typerep)) % 0.43/0.85 (define @t535 () (@var "A6" tptp.set_typerep)) % 0.43/0.85 (define @t536 () (@var "X" tptp.typerep)) % 0.43/0.85 (define @t537 () (@var "Z" tptp.list_typerep)) % 0.43/0.85 (define @t538 () (lambda (@list @t535 @t533) (_ tptp.collect_list_typerep (lambda (@list @t537) (exists (@list @t536 @t534) (and (= @t537 (_ (_ tptp.cons_typerep @t536) @t534)) (_ (_ tptp.member_typerep @t536) @t535) (_ (_ tptp.member_list_typerep @t534) @t533))))))) % 0.43/0.85 (define @t539 () (@var "Kl" tptp.set_list_typerep)) % 0.43/0.85 (define @t540 () (@var "Kl2" tptp.list_typerep)) % 0.43/0.85 (define @t541 () (@var "K2" tptp.typerep)) % 0.43/0.85 (define @t542 () (lambda (@list @t539 @t541) (_ tptp.collect_list_typerep (lambda (@list @t540) (_ (_ tptp.member_list_typerep (_ (_ tptp.cons_typerep @t541) @t540)) @t539))))) % 0.43/0.85 (define @t543 () (tptp.produc1193801173ar_int tptp.c2 @t175)) % 0.43/0.85 (define @t544 () (tptp.big_big_step @t543 tptp.t_a)) % 0.43/0.85 (define @t545 () (tptp.produc1193801173ar_int tptp.c @t65)) % 0.43/0.85 (define @t546 () (tptp.big_big_step @t545 tptp.ta)) % 0.43/0.85 (define @t547 () (tptp.bval tptp.b @t65)) % 0.43/0.85 (define @t548 () (tptp.suc tptp.ka)) % 0.43/0.85 (define @t549 () (tptp.relati23543761ar_int tptp.p tptp.b tptp.c @t548 @t65 @t175)) % 0.43/0.85 (define @t550 () (forall @t184 (or (not @t549) (not @t547) (not @t546) (not @t544)))) % 0.43/0.85 (define @t551 () (not @t488)) % 0.43/0.85 (define @t552 () (not @t490)) % 0.43/0.85 (define @t553 () (not @t491)) % 0.43/0.85 (define @t554 () (_ @t10 @t548)) % 0.43/0.85 (define @t555 () (not @t492)) % 0.43/0.85 (define @t556 () (or @t555 @t553 @t552 @t551)) % 0.43/0.85 (define @t557 () (forall @t184 (not @t493))) % 0.43/0.85 (define @t558 () (not @t557)) % 0.43/0.85 (define @t559 () (tptp.relati23543761ar_int tptp.p tptp.b tptp.c @t548 tptp.sa tptp.s_a)) % 0.43/0.85 (define @t560 () (tptp.produc1193801173ar_int tptp.c2 tptp.s_a)) % 0.43/0.85 (define @t561 () (tptp.big_big_step @t560 tptp.t_a)) % 0.43/0.85 (define @t562 () (tptp.produc1193801173ar_int tptp.c tptp.sa)) % 0.43/0.85 (define @t563 () (tptp.big_big_step @t562 tptp.ta)) % 0.43/0.85 (define @t564 () (tptp.bval tptp.b tptp.sa)) % 0.43/0.85 (define @t565 () (not @t561)) % 0.43/0.85 (define @t566 () (not @t563)) % 0.43/0.85 (define @t567 () (not @t564)) % 0.43/0.85 (define @t568 () (not @t559)) % 0.43/0.85 (define @t569 () (or @t568 @t567 @t566 @t565)) % 0.43/0.85 (define @t570 () (not @t569)) % 0.43/0.85 (assume @p1 @t2) % 0.43/0.85 (assume @p2 (_ @t1 tptp.s2)) % 0.43/0.85 (assume @p3 @t5) % 0.43/0.85 (assume @p4 @t8) % 0.43/0.85 (assume @p5 @t12) % 0.43/0.85 (assume @p6 (_ (_ tptp.big_big_step (_ @t6 tptp.s)) tptp.t)) % 0.43/0.85 (assume @p7 (_ (_ tptp.big_big_step (_ @t3 tptp.s2)) tptp.t2)) % 0.43/0.85 (assume @p8 (_ (_ tptp.q tptp.ua) tptp.t_a)) % 0.43/0.85 (assume @p9 (_ (_ @t13 tptp.s2) tptp.s)) % 0.43/0.85 (assume @p10 (_ (_ tptp.big_big_step (_ @t15 tptp.ta)) tptp.ua)) % 0.43/0.85 (assume @p11 (_ (_ tptp.big_big_step (_ @t15 tptp.t2)) tptp.u)) % 0.43/0.85 (assume @p12 (_ (_ (_ (_ tptp.relati775585786_valid @t11) @t14) tptp.c2) tptp.q)) % 0.43/0.85 (assume @p13 (forall (@list @t17 @t16) (= (= @t19 (_ tptp.suc @t16)) @t18))) % 0.43/0.85 (assume @p14 (forall (@list @t21 @t20) (= (= (_ tptp.suc @t21) @t22) (= @t21 @t20)))) % 0.43/0.85 (assume @p15 (forall (@list @t24 @t17 @t23 @t16) (= (= (_ (_ tptp.product_Pair_nat_nat @t24) @t17) (_ (_ tptp.product_Pair_nat_nat @t23) @t16)) (and (= @t24 @t23) @t18)))) % 0.43/0.85 (assume @p16 (forall (@list @t28 @t26 @t27 @t25) (= (= (_ (_ tptp.produc1193801173ar_int @t28) @t26) (_ (_ tptp.produc1193801173ar_int @t27) @t25)) (and (= @t28 @t27) (= @t26 @t25))))) % 0.43/0.85 (assume @p17 (forall @t37 (= @t36 (and @t34 @t31)))) % 0.43/0.85 (assume @p18 (forall @t45 (= @t44 (and @t43 @t40)))) % 0.43/0.85 (assume @p19 (forall (@list @t48 @t54 @t53 @t52 @t46) (=> (_ (_ (_ (_ tptp.relati775585786_valid @t50) @t14) tptp.c2) tptp.q) (=> (_ (_ tptp.big_big_step (_ @t15 @t48)) @t54) (=> (_ (_ tptp.big_big_step (_ @t3 @t53)) @t48) (=> (_ (_ tptp.big_big_step (_ @t6 @t52)) @t46) (=> (_ (_ tptp.q @t54) @t46) (=> (_ @t1 @t53) (=> (_ (_ @t50 @t53) @t52) (exists @t51 (and (_ (_ @t50 @t49) @t47) (_ @t1 @t49) (_ (_ tptp.big_big_step (_ @t3 @t49)) @t48) (_ (_ tptp.big_big_step (_ @t6 @t47)) @t46)))))))))))) % 0.43/0.85 (assume @p20 (forall (@list @t57 @t60) (= (forall @t63 (= @t59 @t62)) (forall @t63 (= @t62 @t59))))) % 0.43/0.85 (assume @p21 (forall (@list @t57 @t65 @t64) (= @t67 @t67))) % 0.43/0.85 (assume @p22 (_ (_ tptp.q tptp.u) tptp.t)) % 0.43/0.85 (assume @p23 (forall @t78 (=> (_ (_ (_ (_ tptp.relati775585786_valid @t75) @t57) @t60) @t70) (=> (_ (_ (_ (_ tptp.relati775585786_valid @t74) @t57) @t60) @t69) (_ (_ (_ (_ tptp.relati775585786_valid @t77) @t57) @t60) @t72))))) % 0.43/0.85 (assume @p24 (_ (_ (_ (_ tptp.relati775585786_valid @t13) @t14) tptp.c2) tptp.q)) % 0.43/0.85 (assume @p25 (forall @t89 (=> @t88 (=> @t84 (=> @t82 (_ (_ (_ (_ tptp.relati775585786_valid @t80) @t57) @t60) @t79)))))) % 0.43/0.85 (assume @p26 (forall @t98 (=> (_ (_ (_ (_ tptp.relati775585786_valid @t97) @t92) @t60) @t81) @t96))) % 0.43/0.85 (assume @p27 (forall (@list @t90 @t57 @t53 @t48 @t60) (=> @t106 (=> @t103 (_ (_ tptp.big_big_step (_ @t99 @t53)) @t48))))) % 0.43/0.85 (assume @p28 (forall (@list @t57 @t60 @t90) (=> @t103 (forall @t109 (= @t108 (_ (_ tptp.big_big_step (_ @t99 @t65)) @t64)))))) % 0.43/0.85 (assume @p29 (forall (@list @t90 @t53 @t57) (=> @t112 (_ @t105 @t53)))) % 0.43/0.85 (assume @p30 (forall (@list @t90 @t114 @t57 @t115 @t113) (=> (_ @t110 @t114) (=> (_ (_ tptp.big_big_step (_ @t58 @t114)) @t115) (=> (_ (_ tptp.big_big_step (_ @t104 @t115)) @t113) (_ (_ tptp.big_big_step (_ @t104 @t114)) @t113)))))) % 0.43/0.85 (assume @p31 (forall (@list @t90 @t57 @t53 @t48) (=> @t106 (=> (=> @t119 @t111) (not (=> @t111 (forall @t118 (=> (_ @t117 @t116) (not (_ (_ tptp.big_big_step (_ @t104 @t116)) @t48)))))))))) % 0.43/0.85 (assume @p32 (forall (@list @t121 @t120) (=> @t126 (_ @t121 @t120)))) % 0.43/0.85 (assume @p33 (forall (@list @t128 @t127) (=> @t133 (_ @t128 @t127)))) % 0.43/0.85 (assume @p34 (forall (@list @t134) (not (forall @t125 (not (= @t134 @t124)))))) % 0.43/0.85 (assume @p35 (forall (@list @t135) (not (forall @t132 (not (= @t135 @t131)))))) % 0.43/0.85 (assume @p36 (forall @t37 (=> @t36 (not (=> @t34 (not @t31)))))) % 0.43/0.85 (assume @p37 (forall @t45 (=> @t44 (not (=> @t43 (not @t40)))))) % 0.43/0.85 (assume @p38 (forall (@list @t121 @t136) (=> @t126 (_ @t121 @t136)))) % 0.43/0.85 (assume @p39 (forall (@list @t128 @t137) (=> @t133 (_ @t128 @t137)))) % 0.43/0.85 (assume @p40 (forall (@list @t138 @t128) (= (_ (_ tptp.member92250950ar_int @t138) (_ tptp.collec770796680ar_int @t128)) (_ @t128 @t138)))) % 0.43/0.85 (assume @p41 (forall (@list @t139) (= (_ tptp.collec770796680ar_int (lambda (@list @t140) (_ @t141 @t139))) @t139))) % 0.43/0.85 (assume @p42 (forall (@list @t136) (exists @t145 (= @t136 (_ @t144 @t142))))) % 0.43/0.85 (assume @p43 (forall (@list @t137) (exists (@list @t147 @t146) (= @t137 (_ (_ tptp.produc1193801173ar_int @t147) @t146))))) % 0.43/0.85 (assume @p44 (forall @t150 (not (= @t148 @t149)))) % 0.43/0.85 (assume @p45 (forall @t154 (=> (= (_ tptp.suc @t152) (_ tptp.suc @t151)) @t153))) % 0.43/0.85 (assume @p46 (forall (@list @t57 @t53 @t48 @t54) (=> (_ @t117 @t48) (=> (_ @t117 @t54) (= @t54 @t48))))) % 0.43/0.85 (assume @p47 (forall (@list @t57 @t60 @t155) (=> @t103 (=> (forall @t102 (= @t101 (_ (_ tptp.big_big_step (_ @t156 @t49)) @t100))) (forall @t109 (= @t67 (_ (_ tptp.big_big_step (_ @t156 @t65)) @t64))))))) % 0.43/0.85 (assume @p48 (forall (@list @t160 @t158 @t159 @t157) (= (= @t161 (_ (_ tptp.while @t159) @t157)) (and (= @t160 @t159) (= @t158 @t157))))) % 0.43/0.85 (assume @p49 (forall @t168 (=> (_ (_ (_ @t167 tptp.skip) @t60) @t81) @t162))) % 0.43/0.85 (assume @p50 (forall @t173 (=> (_ (_ (_ @t172 @t170) @t60) @t81) @t162))) % 0.43/0.85 (assume @p51 (forall (@list @t83 @t90 @t57 @t148) (= (_ @t94 @t149) (lambda @t71 (exists (@list @t56) (and @t59 @t163 (_ (_ (_ @t94 @t148) @t56) @t68))))))) % 0.43/0.85 (assume @p52 (forall @t180 (=> @t179 (_ (_ (_ @t85 tptp.skip) @t60) @t81)))) % 0.43/0.85 (assume @p53 (forall (@list @t181 @t93 @t90 @t57 @t81 @t60 @t48 @t46) (=> (forall (@list @t185 @t100 @t174) (=> (_ (_ (_ @t181 (_ @t183 @t186)) @t100) @t174) (exists (@list @t65) (and (_ (_ (_ @t181 (_ @t183 @t185)) @t65) @t174) (_ @t110 @t65) (_ @t66 @t100))))) (=> (forall @t178 (=> @t177 (exists @t184 (and (exists (@list @t182) (_ (_ (_ @t181 (_ @t183 @t182)) @t65) @t175)) (_ @t107 @t100) @t176)))) (=> (_ (_ @t81 @t48) @t46) (exists @t51 (and (_ (_ (_ @t181 @t93) @t49) @t47) (_ (_ tptp.big_big_step (_ @t104 @t49)) @t48) (_ (_ tptp.big_big_step (_ @t61 @t47)) @t46)))))))) % 0.43/0.85 (assume @p54 (forall (@list @t83 @t60 @t57 @t81) (=> (_ (_ (_ (_ tptp.relati775585786_valid @t188) @t60) @t57) @t187) @t88))) % 0.43/0.85 (assume @p55 (forall (@list @t190 @t189) (= (= (lambda @t194 (_ @t193 @t190)) (lambda @t194 (_ @t193 @t189))) (= @t190 @t189)))) % 0.43/0.85 (assume @p56 (forall (@list @t196 @t195) (= (= (lambda @t200 (_ @t199 @t196)) (lambda @t200 (_ @t199 @t195))) (= @t196 @t195)))) % 0.43/0.85 (assume @p57 (forall (@list @t204 @t202 @t203 @t201) (= (= @t205 (_ (_ tptp.seq @t203) @t201)) (and (= @t204 @t203) (= @t202 @t201))))) % 0.43/0.85 (assume @p58 (forall @t211 (= @t210 @t209))) % 0.43/0.85 (assume @p59 (forall (@list @t83 @t57 @t60 @t81 @t214 @t213 @t212) (=> @t88 (=> (_ (_ @t217 @t213) @t212) (_ (_ @t216 (_ (_ tptp.seq @t60) @t213)) @t212))))) % 0.43/0.85 (assume @p60 (forall (@list @t52 @t46) (= (_ (_ tptp.big_big_step (_ @t218 @t52)) @t46) (= @t52 @t46)))) % 0.43/0.85 (assume @p61 (forall (@list @t83 @t57 @t81 @t214 @t60 @t212) (=> (_ (_ @t86 tptp.skip) @t81) (=> (_ (_ @t217 @t60) @t212) @t219)))) % 0.43/0.85 (assume @p62 (forall @t220 (=> @t88 (=> (_ (_ @t217 tptp.skip) @t212) @t219)))) % 0.43/0.85 (assume @p63 (forall @t221 (not (= tptp.skip @t205)))) % 0.43/0.85 (assume @p64 (forall (@list @t204 @t202 @t160 @t158) (not (= @t205 @t161)))) % 0.43/0.85 (assume @p65 (forall @t222 (not (= tptp.skip @t161)))) % 0.43/0.85 (assume @p66 (forall @t211 (= @t224 @t210))) % 0.43/0.85 (assume @p67 (forall (@list @t225 @t93 @t33) (=> @t226 (= (_ tptp.suc @t225) (_ @t183 (_ tptp.suc @t33)))))) % 0.43/0.85 (assume @p68 (forall @t211 (= @t224 @t209))) % 0.43/0.85 (assume @p69 (forall @t239 (=> @t238 (_ (_ (_ (_ tptp.relati775585786_valid @t235) @t227) tptp.skip) @t81)))) % 0.43/0.85 (assume @p70 (forall @t239 (=> @t238 (_ (_ (_ @t85 @t232) @t60) @t235)))) % 0.43/0.85 (assume @p71 (forall (@list @t232 @t227 @t241 @t240) (=> (_ (_ tptp.big_big_step (_ (_ tptp.produc1193801173ar_int @t237) @t241)) @t240) (not (forall @t118 (=> (_ (_ tptp.big_big_step (_ @t233 @t241)) @t116) (not (_ (_ tptp.big_big_step (_ @t230 @t116)) @t240)))))))) % 0.43/0.85 (assume @p72 (forall (@list @t232 @t227 @t242 @t53 @t52) (= (_ (_ tptp.big_big_step (_ (_ tptp.produc1193801173ar_int (_ (_ tptp.seq @t237) @t242)) @t53)) @t52) (_ (_ tptp.big_big_step (_ (_ tptp.produc1193801173ar_int (_ @t236 (_ (_ tptp.seq @t227) @t242))) @t53)) @t52)))) % 0.43/0.85 (assume @p73 (forall (@list @t244 @t114 @t115 @t243 @t113) (=> (_ (_ tptp.big_big_step (_ @t246 @t114)) @t115) (=> (_ (_ tptp.big_big_step (_ @t245 @t115)) @t113) (_ (_ tptp.big_big_step (_ (_ tptp.produc1193801173ar_int (_ (_ tptp.seq @t244) @t243)) @t114)) @t113))))) % 0.43/0.85 (assume @p74 (forall (@list @t53 @t48) (=> (_ @t247 @t48) @t119))) % 0.43/0.85 (assume @p75 (forall (@list @t53) (_ @t247 @t53))) % 0.43/0.85 (assume @p76 (forall (@list @t83 @t57 @t60 @t81 @t53 @t52) (=> @t88 (_ @t87 (lambda @t71 (and (_ (_ @t81 @t53) @t52) (exists @t76 (and @t165 @t59 @t231)))))))) % 0.43/0.85 (assume @p77 (forall @t98 (=> @t96 (_ (_ (_ (_ tptp.relati775585786_valid (lambda @t76 (and (_ (_ @t95 @t56) @t73) @t163))) @t57) tptp.skip) (lambda @t71 (and (_ (_ @t97 @t55) @t68) (exists (@list @t228 @t248) (and (_ (_ tptp.big_big_step (_ @t104 @t55)) @t228) (_ (_ tptp.big_big_step (_ @t61 @t68)) @t248) (_ @t229 @t248))))))))) % 0.43/0.85 (assume @p78 (forall @t254 (= @t253 @t250))) % 0.43/0.85 (assume @p79 (forall @t259 (= @t258 @t250))) % 0.43/0.85 (assume @p80 (forall (@list @t83 @t90 @t232 @t227 @t60 @t81) (=> (_ (_ (_ @t85 @t262) @t60) @t81) (and (_ (_ (_ @t172 @t232) @t60) (lambda @t71 (and @t260 (exists @t76 (and @t165 @t234 @t231 @t163))))) (_ (_ (_ @t167 @t227) @t60) (lambda @t71 (and @t260 (exists @t76 (and @t165 (_ (_ tptp.big_big_step (_ @t230 @t56)) @t55) @t231 @t164))))))))) % 0.43/0.85 (assume @p81 (forall @t263 (= @t108 (_ (_ tptp.big_big_step (_ (_ tptp.produc1193801173ar_int (_ (_ @t261 @t170) tptp.skip)) @t65)) @t64)))) % 0.43/0.85 (assume @p82 (forall @t271 (=> (_ (_ (_ (_ tptp.relati775585786_valid (lambda @t270 (and @t269 @t267))) @t244) @t60) @t81) @t265))) % 0.43/0.85 (assume @p83 (forall @t272 (=> (_ (_ (_ (_ tptp.relati775585786_valid (lambda @t270 (and @t269 (not @t267)))) @t243) @t60) @t81) @t265))) % 0.43/0.85 (assume @p84 (forall @t173 (=> (_ (_ (_ @t275 @t170) @t60) @t81) @t274))) % 0.43/0.85 (assume @p85 (forall (@list @t281 @t279 @t277 @t280 @t278 @t276) (= (= @t282 (_ (_ (_ tptp.if @t280) @t278) @t276)) (and (= @t281 @t280) (= @t279 @t278) (= @t277 @t276))))) % 0.43/0.85 (assume @p86 (forall (@list @t83) (_ @t284 @t83))) % 0.43/0.85 (assume @p87 (forall (@list @t83 @t81) (= (_ @t284 @t81) (forall @t76 (=> (_ (_ @t81 @t56) @t73) @t165))))) % 0.43/0.85 (assume @p88 (forall @t78 (=> (_ (_ (_ (_ tptp.relati2102071307_hoare @t75) @t57) @t60) @t70) (=> (_ (_ (_ (_ tptp.relati2102071307_hoare @t74) @t57) @t60) @t69) (_ (_ (_ (_ tptp.relati2102071307_hoare @t77) @t57) @t60) @t72))))) % 0.43/0.85 (assume @p89 (forall (@list @t83 @t57 @t60 @t81 @t80) (=> @t287 (=> @t84 (_ @t285 @t81))))) % 0.43/0.85 (assume @p90 (forall (@list @t83 @t57 @t60 @t81 @t79) (=> @t287 (=> @t82 (_ @t286 @t79))))) % 0.43/0.85 (assume @p91 (forall @t89 (=> @t287 (=> @t84 (=> @t82 (_ @t285 @t79)))))) % 0.43/0.85 (assume @p92 (forall @t272 (=> (_ (_ (_ @t289 @t243) @t60) @t81) @t288))) % 0.43/0.85 (assume @p93 (forall @t271 (=> (_ (_ (_ @t275 @t244) @t60) @t81) @t288))) % 0.43/0.85 (assume @p94 (forall @t290 (=> @t287 @t88))) % 0.43/0.85 (assume @p95 (forall (@list @t281 @t279 @t277 @t160 @t158) (not (= @t282 @t161)))) % 0.43/0.85 (assume @p96 (forall @t291 (not (= tptp.skip @t282)))) % 0.43/0.85 (assume @p97 (forall (@list @t204 @t202 @t281 @t279 @t277) (not (= @t205 @t282)))) % 0.43/0.85 (assume @p98 (forall @t290 (=> (_ (_ (_ (_ tptp.relati2102071307_hoare @t188) @t57) @t60) @t187) (_ (_ (_ @t273 @t60) @t57) @t81)))) % 0.43/0.85 (assume @p99 (forall @t220 (=> @t287 (=> (_ (_ (_ (_ tptp.relati2102071307_hoare @t81) @t214) tptp.skip) @t212) (_ (_ (_ @t273 @t215) @t60) @t212))))) % 0.43/0.85 (assume @p100 (forall (@list @t293 @t296 @t295 @t292 @t227 @t65 @t64) (= (_ (_ tptp.big_big_step (_ (_ tptp.produc1193801173ar_int (_ (_ @t294 (_ (_ @t297 @t295) @t292)) @t227)) @t65)) @t64) (_ (_ tptp.big_big_step (_ (_ tptp.produc1193801173ar_int (_ (_ @t297 (_ (_ @t294 @t295) @t227)) (_ (_ @t294 @t292) @t227))) @t65)) @t64)))) % 0.43/0.85 (assume @p101 (forall @t263 (= (_ (_ tptp.big_big_step (_ (_ tptp.produc1193801173ar_int (_ (_ @t261 @t57) @t57)) @t65)) @t64) @t67))) % 0.43/0.85 (assume @p102 (forall @t259 (= (_ (_ tptp.plus_plus_nat @t257) @t249) @t298))) % 0.43/0.85 (assume @p103 (forall (@list @t301 @t300 @t93 @t299) (=> (and (= @t301 @t300) (= @t93 @t299)) (= (_ (_ tptp.plus_plus_nat @t301) @t93) (_ (_ tptp.plus_plus_nat @t300) @t299))))) % 0.43/0.85 (assume @p104 (forall (@list @t225 @t93 @t33 @t30) (=> @t226 (= (_ (_ tptp.plus_plus_nat @t225) @t30) @t302)))) % 0.43/0.85 (assume @p105 (forall (@list @t303 @t93 @t30 @t33) (=> (= @t303 (_ @t183 @t30)) (= (_ @t255 @t303) @t302)))) % 0.43/0.85 (assume @p106 (= tptp.plus_plus_nat (lambda (@list @t304 @t305) (_ (_ tptp.plus_plus_nat @t305) @t304)))) % 0.43/0.85 (assume @p107 (forall @t254 (= (_ @t251 @t256) @t298))) % 0.43/0.85 (assume @p108 (forall @t259 (=> @t258 @t250))) % 0.43/0.85 (assume @p109 (forall @t254 (=> @t253 @t250))) % 0.43/0.85 (assume @p110 (forall @t180 (=> @t179 (_ (_ @t283 @t60) @t81)))) % 0.43/0.85 (assume @p111 (forall (@list @t90 @t53 @t243 @t48 @t244) (=> @t112 (=> (_ (_ tptp.big_big_step (_ @t245 @t53)) @t48) @t306)))) % 0.43/0.85 (assume @p112 (forall (@list @t90 @t53 @t244 @t48 @t243) (=> @t111 (=> (_ (_ tptp.big_big_step (_ @t246 @t53)) @t48) @t306)))) % 0.43/0.85 (assume @p113 (forall (@list @t90 @t232 @t227 @t53 @t48) (=> (_ (_ tptp.big_big_step (_ (_ tptp.produc1193801173ar_int @t262) @t53)) @t48) (=> (=> @t111 (not (_ (_ tptp.big_big_step (_ @t233 @t53)) @t48))) (not (=> @t112 (not (_ (_ tptp.big_big_step (_ @t230 @t53)) @t48)))))))) % 0.43/0.85 (assume @p114 (forall @t168 (=> (_ (_ (_ @t289 tptp.skip) @t60) @t81) @t274))) % 0.43/0.85 (assume @p115 (forall (@list @t309) (=> (not (= @t309 tptp.skip)) (=> (forall (@list @t316 @t315) (not (= @t309 (_ (_ tptp.assign @t316) @t315)))) (=> (forall (@list @t314 @t313) (not (= @t309 (_ (_ tptp.seq @t314) @t313)))) (=> (forall (@list @t312 @t311 @t310) (not (= @t309 (_ (_ (_ tptp.if @t312) @t311) @t310)))) (not (forall (@list @t308 @t307) (not (= @t309 (_ (_ tptp.while @t308) @t307))))))))))) % 0.43/0.85 (assume @p116 (forall (@list @t318 @t317) (=> (_ @t318 tptp.skip) (=> (forall (@list @t325 @t324) (_ @t318 (_ (_ tptp.assign @t325) @t324))) (=> (forall (@list @t323 @t319) (=> (_ @t318 @t323) (=> @t321 (_ @t318 (_ (_ tptp.seq @t323) @t319))))) (=> (forall (@list @t320 @t319 @t322) (=> @t321 (=> (_ @t318 @t322) (_ @t318 (_ (_ (_ tptp.if @t320) @t319) @t322))))) (=> (forall (@list @t320 @t319) (=> @t321 (_ @t318 (_ (_ tptp.while @t320) @t319)))) (_ @t318 @t317)))))))) % 0.43/0.85 (assume @p117 (forall @t332 (=> (forall @t331 (_ (_ (_ (_ tptp.relati775585786_valid @t330) @t57) tptp.skip) @t329)) (=> (_ (_ (_ (_ tptp.relati775585786_valid @t328) @t92) @t60) @t81) (_ (_ (_ (_ tptp.relati775585786_valid @t326) @t92) @t60) @t81))))) % 0.43/0.85 (assume @p118 (forall (@list @t336 @t334 @t335 @t333) (= (= @t337 (_ (_ tptp.assign @t335) @t333)) (and (= @t336 @t335) (= @t334 @t333))))) % 0.43/0.85 (assume @p119 (forall @t339 (= (_ @t338 @t33) @t33))) % 0.43/0.85 (assume @p120 (forall @t339 (= (_ @t255 tptp.zero_zero_nat) @t33))) % 0.43/0.85 (assume @p121 (forall @t341 (= (= @t252 @t33) @t340))) % 0.43/0.85 (assume @p122 (forall @t342 (= (= @t257 @t33) @t340))) % 0.43/0.85 (assume @p123 (forall @t342 (= (= @t33 @t252) @t340))) % 0.43/0.85 (assume @p124 (forall @t342 (= (= @t33 @t257) @t340))) % 0.43/0.85 (assume @p125 (forall @t154 (= (= @t346 tptp.zero_zero_nat) @t345))) % 0.43/0.85 (assume @p126 (forall @t154 (= (= tptp.zero_zero_nat @t346) @t345))) % 0.43/0.85 (assume @p127 (forall @t211 (= (= @t208 tptp.zero_zero_nat) (and @t348 @t347)))) % 0.43/0.85 (assume @p128 (forall @t349 (= (_ @t207 tptp.zero_zero_nat) @t206))) % 0.43/0.85 (assume @p129 (forall (@list @t152) (= (= tptp.zero_zero_nat @t152) @t344))) % 0.43/0.85 (assume @p130 (forall (@list @t17) (not (= tptp.zero_zero_nat @t19)))) % 0.43/0.85 (assume @p131 (forall @t350 (not (= @t22 tptp.zero_zero_nat)))) % 0.43/0.85 (assume @p132 (forall @t350 (not (= tptp.zero_zero_nat @t22)))) % 0.43/0.85 (assume @p133 (forall (@list @t21 @t17) (=> (= @t21 @t19) (not (= @t21 tptp.zero_zero_nat))))) % 0.43/0.85 (assume @p134 (forall (@list @t351 @t148) (=> @t354 (=> (forall @t331 (=> @t353 @t352)) (_ @t351 @t148))))) % 0.43/0.85 (assume @p135 (forall (@list @t355 @t206 @t148) (=> (forall @t359 (_ @t357 tptp.zero_zero_nat)) (=> (forall @t358 (_ (_ @t355 tptp.zero_zero_nat) @t356)) (=> (forall @t145 (=> (_ @t357 @t142) (_ (_ @t355 (_ tptp.suc @t143)) @t356))) (_ (_ @t355 @t206) @t148)))))) % 0.43/0.85 (assume @p136 (forall (@list @t351 @t93) (=> (_ @t351 @t93) (=> (forall @t331 (=> @t352 @t353)) @t354)))) % 0.43/0.85 (assume @p137 (forall @t349 (not (= @t223 tptp.zero_zero_nat)))) % 0.43/0.85 (assume @p138 (forall @t349 (not (= tptp.zero_zero_nat @t223)))) % 0.43/0.85 (assume @p139 (forall (@list @t151) (=> (not @t343) (not (forall @t362 (not (= @t151 @t361))))))) % 0.43/0.85 (assume @p140 (forall (@list @t351 @t21) (=> @t354 (=> (forall @t362 (=> (_ @t351 @t360) (_ @t351 @t361))) (_ @t351 @t21))))) % 0.43/0.85 (assume @p141 (forall @t150 (=> (not @t347) (exists (@list @t363) (= @t148 (_ tptp.suc @t363)))))) % 0.43/0.85 (assume @p142 (forall @t150 (= (_ @t338 @t148) @t148))) % 0.43/0.85 (assume @p143 (forall @t211 (=> (= @t208 @t206) @t347))) % 0.43/0.85 (assume @p144 (forall (@list @t367 @t365 @t368 @t366 @t364 @t139) (=> (= @t367 (_ @t365 @t368)) (=> (= @t366 (_ @t364 @t368)) (=> @t369 (_ (_ tptp.member92250950ar_int (_ (_ tptp.produc1193801173ar_int @t367) @t366)) (_ (_ (_ tptp.bNF_Gr202451329ar_int @t139) @t365) @t364))))))) % 0.43/0.85 (assume @p145 (forall (@list @t30 @t371 @t368 @t249 @t370 @t139) (=> (= @t30 (_ @t371 @t368)) (=> (= @t249 (_ @t370 @t368)) (=> @t369 (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t30) @t249)) (_ (_ (_ tptp.bNF_Gr749752805at_nat @t139) @t371) @t370))))))) % 0.43/0.85 (assume @p146 (forall (@list @t336 @t334 @t160 @t158) (not (= @t337 @t161)))) % 0.43/0.85 (assume @p147 (forall @t372 (not (= tptp.skip @t337)))) % 0.43/0.85 (assume @p148 (forall (@list @t336 @t334 @t204 @t202) (not (= @t337 @t205)))) % 0.43/0.85 (assume @p149 (forall (@list @t336 @t334 @t281 @t279 @t277) (not (= @t337 @t282)))) % 0.43/0.85 (assume @p150 (forall (@list @t83 @t90 @t57) (= (_ @t94 tptp.zero_zero_nat) @t83))) % 0.43/0.85 (assume @p151 (forall @t211 (= (= @t373 @t208) @t374))) % 0.43/0.85 (assume @p152 (forall @t211 (= (= @t208 @t373) @t374))) % 0.43/0.85 (assume @p153 (forall @t332 (=> (forall @t331 (_ (_ (_ (_ tptp.relati2102071307_hoare @t330) @t57) tptp.skip) @t329)) (=> (_ (_ (_ (_ tptp.relati2102071307_hoare @t328) @t92) @t60) @t81) (_ (_ (_ (_ tptp.relati2102071307_hoare @t326) @t92) @t60) @t81))))) % 0.43/0.85 (assume @p154 (forall @t291 (= (_ tptp.size_com @t282) (_ (_ tptp.plus_plus_nat (_ (_ tptp.plus_plus_nat (_ tptp.size_com @t279)) (_ tptp.size_com @t277))) @t373)))) % 0.43/0.85 (assume @p155 (forall @t221 (= (_ tptp.size_com @t205) (_ (_ tptp.plus_plus_nat (_ (_ tptp.plus_plus_nat (_ tptp.size_com @t204)) (_ tptp.size_com @t202))) @t373)))) % 0.43/0.85 (assume @p156 (forall @t222 (= (_ tptp.size_com @t161) (_ (_ tptp.plus_plus_nat (_ tptp.size_com @t158)) @t373)))) % 0.43/0.85 (assume @p157 (forall @t291 (= (_ tptp.size_size_com @t282) (_ (_ tptp.plus_plus_nat (_ (_ tptp.plus_plus_nat (_ tptp.size_size_com @t279)) (_ tptp.size_size_com @t277))) @t373)))) % 0.43/0.85 (assume @p158 (forall (@list @t375 @t309) (=> (not (= (_ tptp.size_size_com @t375) (_ tptp.size_size_com @t309))) (not (= @t375 @t309))))) % 0.43/0.85 (assume @p159 (forall (@list @t377 @t376) (=> (not (= @t379 (_ tptp.size_size_typerep @t376))) (not @t378)))) % 0.43/0.85 (assume @p160 (= (_ tptp.size_size_com tptp.skip) tptp.zero_zero_nat)) % 0.43/0.85 (assume @p161 (forall @t372 (= (_ tptp.size_size_com @t337) tptp.zero_zero_nat))) % 0.43/0.85 (assume @p162 (= (_ tptp.size_com tptp.skip) tptp.zero_zero_nat)) % 0.43/0.85 (assume @p163 (forall @t372 (= (_ tptp.size_com @t337) tptp.zero_zero_nat))) % 0.43/0.85 (assume @p164 (forall @t222 (= (_ tptp.size_size_com @t161) (_ (_ tptp.plus_plus_nat (_ tptp.size_size_com @t158)) @t373)))) % 0.43/0.85 (assume @p165 (forall @t221 (= (_ tptp.size_size_com @t205) (_ (_ tptp.plus_plus_nat (_ (_ tptp.plus_plus_nat (_ tptp.size_size_com @t204)) (_ tptp.size_size_com @t202))) @t373)))) % 0.43/0.85 (assume @p166 (forall (@list @t355 @t33 @t30) (=> (forall @t125 (= @t381 (_ (_ @t355 @t122) @t123))) (=> (forall (@list @t123) (_ @t380 tptp.zero_zero_nat)) (=> (forall @t125 (=> @t381 (_ @t380 (_ (_ tptp.plus_plus_nat @t123) @t122)))) (_ (_ @t355 @t33) @t30)))))) % 0.43/0.85 (assume @p167 (forall @t341 (= (= @t30 @t252) (= @t33 tptp.zero_zero_nat)))) % 0.43/0.85 (assume @p168 (forall (@list @t383 @t382) (= (_ tptp.unique1592618082ux_nat (_ (_ tptp.product_Pair_nat_nat @t383) @t382)) (= @t382 tptp.zero_zero_nat)))) % 0.43/0.85 (assume @p169 (= tptp.zero_zero_nat tptp.zero_zero_nat)) % 0.43/0.85 (assume @p170 (forall (@list @t377) (not (= @t379 tptp.zero_zero_nat)))) % 0.43/0.85 (assume @p171 (forall (@list @t382 @t386 @t190 @t384) (=> (_ (_ tptp.member701585322at_nat (_ @t385 @t386)) @t190) (=> (= @t384 @t386) (_ (_ tptp.member701585322at_nat (_ @t385 @t384)) @t190))))) % 0.43/0.85 (assume @p172 (forall (@list @t387 @t53 @t196 @t52) (=> (_ (_ tptp.member92250950ar_int (_ @t388 @t53)) @t196) (=> (= @t52 @t53) (_ (_ tptp.member92250950ar_int (_ @t388 @t52)) @t196))))) % 0.43/0.85 (assume @p173 (forall @t392 (= (_ tptp.size_size_typerep @t391) (_ (_ tptp.plus_plus_nat (_ (_ tptp.size_list_typerep tptp.size_size_typerep) @t389)) @t373)))) % 0.43/0.85 (assume @p174 (forall @t392 (= (_ tptp.size_typerep @t391) (_ (_ tptp.plus_plus_nat (_ (_ tptp.size_list_typerep tptp.size_typerep) @t389)) @t373)))) % 0.43/0.85 (assume @p175 (forall (@list @t394 @t396 @t393) (= (_ @t395 @t397) (_ (_ tptp.plus_plus_nat (_ (_ tptp.plus_plus_nat (_ @t394 @t396)) (_ @t395 @t393))) @t373)))) % 0.43/0.85 (assume @p176 (forall (@list @t400 @t148) (= (= @t402 @t149) @t401))) % 0.43/0.85 (assume @p177 (forall (@list @t148 @t400) (= (= @t149 @t402) @t401))) % 0.43/0.85 (assume @p178 (forall (@list @t377 @t400) (= (_ tptp.size_s416147576yperep @t404) (_ tptp.suc @t402)))) % 0.43/0.85 (assume @p179 (forall (@list @t396 @t393) (= (_ tptp.size_s416147576yperep @t397) (_ (_ tptp.plus_plus_nat (_ tptp.size_s416147576yperep @t393)) @t373)))) % 0.43/0.85 (assume @p180 (forall @t418 (= (_ @t417 @t406) (or (and @t413 @t411) (and @t378 (_ @t409 @t406)))))) % 0.43/0.85 (assume @p181 (forall @t432 (= (_ @t431 @t420) (or (and @t426 (= (_ tptp.size_size_list_nat @t422) (_ tptp.size_size_list_nat @t421))) (and @t153 (_ @t424 @t420)))))) % 0.43/0.85 (assume @p182 (forall (@list @t148 @t377 @t400) (= (_ (_ tptp.gen_length_typerep @t148) @t404) (_ (_ tptp.gen_length_typerep @t149) @t400)))) % 0.43/0.85 (assume @p183 (forall (@list @t437 @t435 @t436 @t434 @t405) (= (_ (_ tptp.member1812711762yperep (_ (_ tptp.produc1695567329yperep @t440) @t439)) @t433) (or @t438 (and (= @t437 @t436) (_ (_ tptp.member1812711762yperep (_ (_ tptp.produc1695567329yperep @t435) @t434)) @t433)))))) % 0.43/0.85 (assume @p184 (forall (@list @t33 @t443 @t30 @t442 @t419) (= (_ (_ tptp.member1926390090st_nat (_ (_ tptp.produc1625736153st_nat @t447) @t446)) @t441) (or @t445 (and (= @t33 @t30) @t444))))) % 0.43/0.85 (assume @p185 (forall (@list @t419 @t422) (=> @t448 (not (_ (_ tptp.member1926390090st_nat (_ @t423 @t422)) @t441))))) % 0.43/0.85 (assume @p186 (forall (@list @t419 @t443 @t442) (=> (forall @t125 (or (_ (_ tptp.member701585322at_nat @t124) @t419) (= @t123 @t122) (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t122) @t123)) @t419))) (or @t444 (= @t443 @t442) (_ (_ tptp.member1926390090st_nat (_ (_ tptp.produc1625736153st_nat @t442) @t443)) @t441))))) % 0.43/0.85 (assume @p187 (forall (@list @t450 @t449 @t451) (=> (_ (_ tptp.member_list_typerep @t450) @t453) (_ (_ tptp.member_list_typerep @t452) @t449)))) % 0.43/0.85 (assume @p188 (forall (@list @t449 @t451 @t450) (= (_ (_ tptp.bNF_Gr1303086585yperep @t453) @t450) (_ (_ tptp.bNF_Gr1303086585yperep @t449) @t452)))) % 0.43/0.85 (assume @p189 (forall @t418 (= (_ @t417 @t454) (or (and @t413 @t456) (and @t378 @t455))))) % 0.43/0.85 (assume @p190 (forall @t432 (= (_ @t431 @t457) (or (and @t426 (= @t422 @t421)) (and @t153 @t458))))) % 0.43/0.85 (assume @p191 (forall (@list @t377 @t376 @t405 @t400) (=> @t413 (_ (_ tptp.member1812711762yperep (_ @t416 (_ @t414 @t400))) @t454)))) % 0.43/0.85 (assume @p192 (forall (@list @t152 @t151 @t419 @t422) (=> @t426 (_ (_ tptp.member1926390090st_nat (_ @t430 (_ @t427 @t422))) @t457)))) % 0.43/0.85 (assume @p193 (forall (@list @t377 @t400 @t407 @t405) (=> (_ (_ tptp.member1812711762yperep (_ @t416 @t407)) @t454) (=> (forall (@list @t461) (=> (= @t407 (_ (_ tptp.cons_typerep @t461) @t400)) (not (_ (_ tptp.member100911538yperep (_ @t412 @t461)) @t405)))) (not (forall @t460 (=> (= @t407 (_ @t403 @t459)) (not (_ (_ tptp.member1812711762yperep (_ @t408 @t459)) @t454))))))))) % 0.43/0.85 (assume @p194 (forall (@list @t152 @t422 @t421 @t419) (=> (_ (_ tptp.member1926390090st_nat (_ @t430 @t421)) @t457) (=> (forall @t358 (=> (= @t421 (_ (_ tptp.cons_nat @t142) @t422)) (not (_ (_ tptp.member701585322at_nat (_ @t425 @t142)) @t419)))) (not (forall @t463 (=> (= @t421 (_ @t429 @t462)) (not (_ (_ tptp.member1926390090st_nat (_ @t423 @t462)) @t457))))))))) % 0.43/0.85 (assume @p195 (forall (@list @t400 @t376 @t407 @t405) (=> (_ (_ tptp.member1812711762yperep (_ @t408 @t415)) @t454) (=> (forall @t466 (=> (= @t400 (_ (_ tptp.cons_typerep @t464) @t407)) (not (_ (_ tptp.member100911538yperep (_ @t465 @t376)) @t405)))) (not (forall @t460 (=> (= @t400 (_ @t414 @t459)) (not (_ (_ tptp.member1812711762yperep (_ (_ tptp.produc1695567329yperep @t459) @t407)) @t454))))))))) % 0.43/0.85 (assume @p196 (forall (@list @t422 @t151 @t421 @t419) (=> (_ (_ tptp.member1926390090st_nat (_ @t423 @t428)) @t457) (=> (forall @t359 (=> (= @t422 (_ (_ tptp.cons_nat @t143) @t421)) (not (_ (_ tptp.member701585322at_nat (_ @t144 @t151)) @t419)))) (not (forall @t463 (=> (= @t422 (_ @t427 @t462)) (not (_ (_ tptp.member1926390090st_nat (_ (_ tptp.produc1625736153st_nat @t462) @t421)) @t457))))))))) % 0.43/0.85 (assume @p197 (forall (@list @t437 @t436 @t405 @t467 @t435 @t434) (=> @t438 (_ (_ tptp.member1812711762yperep (_ (_ tptp.produc1695567329yperep (_ @t468 @t440)) (_ @t468 @t439))) @t433)))) % 0.43/0.85 (assume @p198 (forall (@list @t33 @t30 @t419 @t469 @t443 @t442) (=> @t445 (_ (_ tptp.member1926390090st_nat (_ (_ tptp.produc1625736153st_nat (_ @t470 @t447)) (_ @t470 @t446))) @t441)))) % 0.43/0.85 (assume @p199 (forall (@list @t377 @t376 @t405 @t400 @t472 @t471 @t407) (=> @t413 (=> (= @t400 (_ @t473 (_ @t403 @t471))) (=> (= @t407 (_ @t473 (_ @t414 @t471))) @t455))))) % 0.43/0.85 (assume @p200 (forall (@list @t152 @t151 @t419 @t422 @t475 @t474 @t421) (=> @t426 (=> (= @t422 (_ @t476 (_ @t429 @t474))) (=> (= @t421 (_ @t476 (_ @t427 @t474))) @t458))))) % 0.43/0.85 (assume @p201 (forall (@list @t400 @t407 @t472 @t471) (=> (or @t411 (= (_ tptp.size_s416147576yperep @t472) (_ tptp.size_s416147576yperep @t471))) (= (= (_ @t478 @t472) (_ @t477 @t471)) (and @t456 (= @t472 @t471)))))) % 0.43/0.85 (assume @p202 (forall (@list @t400 @t407) (= (_ tptp.size_s416147576yperep @t479) (_ (_ tptp.plus_plus_nat @t402) @t410)))) % 0.43/0.85 (assume @p203 (forall (@list @t480 @t400 @t407) (= (_ @t481 @t479) (_ (_ tptp.plus_plus_nat (_ @t481 @t400)) (_ @t481 @t407))))) % 0.43/0.85 (assume @p204 (forall (@list @t400 @t483 @t407 @t482 @t405) (=> (_ (_ tptp.member1812711762yperep (_ (_ tptp.produc1695567329yperep @t484) (_ @t477 @t482))) @t433) (=> (not @t456) (=> @t411 (=> (= (_ tptp.size_s416147576yperep @t483) (_ tptp.size_s416147576yperep @t482)) (_ @t409 @t433))))))) % 0.43/0.85 (assume @p205 (forall (@list @t405 @t400 @t407 @t483) (=> (forall @t466 (not (_ (_ tptp.member100911538yperep (_ @t465 @t464)) @t405))) (=> (_ (_ tptp.member1812711762yperep (_ (_ tptp.produc1695567329yperep @t479) @t484)) @t406) (_ (_ tptp.member1812711762yperep (_ (_ tptp.produc1695567329yperep @t407) @t483)) @t406))))) % 0.43/0.85 (assume @p206 (forall (@list @t419 @t422 @t421 @t485) (=> @t448 (=> (_ (_ tptp.member1926390090st_nat (_ (_ tptp.produc1625736153st_nat (_ @t486 @t421)) (_ @t486 @t485))) @t420) (_ (_ tptp.member1926390090st_nat (_ (_ tptp.produc1625736153st_nat @t421) @t485)) @t420))))) % 0.43/0.85 (assume @p207 @t495) % 0.43/0.85 (assume @p208 true) % 0.43/0.85 (step @p209 (= tptp.relati775585786_valid @t500) :rule refl :args (@t500)) % 0.43/0.85 (step @p210 (= tptp.relati186416454e_flip @t501) :rule refl :args (@t501)) % 0.43/0.85 (step @p211 (= tptp.bNF_Gr202451329ar_int @t509) :rule refl :args (@t509)) % 0.43/0.85 (step @p212 (= tptp.bNF_Gr749752805at_nat @t514) :rule refl :args (@t514)) % 0.43/0.85 (step @p213 (= tptp.bNF_Gr1247133574at_nat @t522) :rule refl :args (@t522)) % 0.43/0.85 (step @p214 (= tptp.bNF_Gr1143394412nt_nat @t526) :rule refl :args (@t526)) % 0.43/0.85 (step @p215 (= tptp.bNF_Gr808751971at_nat @t528) :rule refl :args (@t528)) % 0.43/0.85 (step @p216 (= tptp.set_Co1954412371ar_int @t532) :rule refl :args (@t532)) % 0.43/0.85 (step @p217 (= tptp.set_Cons_typerep @t538) :rule refl :args (@t538)) % 0.43/0.85 (step @p218 (= tptp.bNF_Gr457912949yperep @t542) :rule refl :args (@t542)) % 0.43/0.85 (step @p219 :rule bool-double-not-elim :args (@t550)) % 0.43/0.85 (step @p220 :rule refl :args ((tptp.big_big_step @t487 tptp.t_a))) % 0.43/0.85 (step @p221 :rule refl :args (tptp.t_a)) % 0.43/0.85 (step @p222 :rule refl :args (@t543)) % 0.43/0.85 (step @p223 :rule cong :premises (@p222 @p221) :args (@t544)) % 0.43/0.85 (step @p224 :rule trans :premises (@p223 @p220)) % 0.43/0.85 (step @p225 :rule refl :args (tptp.big_big_step)) % 0.43/0.85 (step @p226 :rule ho_cong :premises (@p225 @p222)) % 0.43/0.85 (step @p227 :rule ho_cong :premises (@p226 @p221)) % 0.43/0.85 (step @p228 :rule cong :premises (@p227 @p224) :args ((= (_ (_ tptp.big_big_step @t543) tptp.t_a) @t544))) % 0.43/0.85 (step @p229 :rule symm :premises (@p228)) % 0.43/0.85 (step @p230 :rule refl :args (@t488)) % 0.43/0.85 (step @p231 :rule eq_resolve :premises (@p230 @p229)) % 0.43/0.85 (step @p232 :rule refl :args (@t487)) % 0.43/0.85 (step @p233 :rule cong :premises (@p232 @p222) :args ((= @t487 @t543))) % 0.43/0.85 (step @p234 :rule symm :premises (@p233)) % 0.43/0.85 (step @p235 :rule eq_resolve :premises (@p232 @p234)) % 0.43/0.85 (step @p236 :rule ho_cong :premises (@p225 @p235)) % 0.43/0.85 (step @p237 :rule ho_cong :premises (@p236 @p221)) % 0.43/0.85 (step @p238 :rule trans :premises (@p237 @p231)) % 0.43/0.85 (step @p239 :rule cong :premises (@p238) :args (@t551)) % 0.43/0.85 (step @p240 :rule refl :args ((tptp.big_big_step @t489 tptp.ta))) % 0.43/0.85 (step @p241 :rule refl :args (tptp.ta)) % 0.43/0.85 (step @p242 :rule refl :args (@t545)) % 0.43/0.85 (step @p243 :rule cong :premises (@p242 @p241) :args (@t546)) % 0.43/0.85 (step @p244 :rule trans :premises (@p243 @p240)) % 0.43/0.85 (step @p245 :rule ho_cong :premises (@p225 @p242)) % 0.43/0.85 (step @p246 :rule ho_cong :premises (@p245 @p241)) % 0.43/0.85 (step @p247 :rule cong :premises (@p246 @p244) :args ((= (_ (_ tptp.big_big_step @t545) tptp.ta) @t546))) % 0.43/0.85 (step @p248 :rule symm :premises (@p247)) % 0.43/0.85 (step @p249 :rule refl :args (@t490)) % 0.43/0.85 (step @p250 :rule eq_resolve :premises (@p249 @p248)) % 0.43/0.85 (step @p251 :rule refl :args (@t489)) % 0.43/0.85 (step @p252 :rule cong :premises (@p251 @p242) :args ((= @t489 @t545))) % 0.43/0.85 (step @p253 :rule symm :premises (@p252)) % 0.43/0.85 (step @p254 :rule eq_resolve :premises (@p251 @p253)) % 0.43/0.85 (step @p255 :rule ho_cong :premises (@p225 @p254)) % 0.43/0.85 (step @p256 :rule ho_cong :premises (@p255 @p241)) % 0.43/0.85 (step @p257 :rule trans :premises (@p256 @p250)) % 0.43/0.85 (step @p258 :rule cong :premises (@p257) :args (@t552)) % 0.43/0.85 (step @p259 :rule refl :args (@t547)) % 0.43/0.85 (step @p260 :rule refl :args (@t491)) % 0.43/0.85 (step @p261 :rule cong :premises (@p260 @p259) :args ((= @t491 @t547))) % 0.43/0.85 (step @p262 :rule symm :premises (@p261)) % 0.43/0.85 (step @p263 :rule eq_resolve :premises (@p260 @p262)) % 0.43/0.85 (step @p264 :rule cong :premises (@p263) :args (@t553)) % 0.43/0.85 (step @p265 :rule refl :args ((tptp.relati23543761ar_int tptp.p tptp.b tptp.c @t9 @t65 @t175))) % 0.43/0.85 (step @p266 :rule refl :args (@t175)) % 0.43/0.85 (step @p267 :rule refl :args (@t65)) % 0.43/0.85 (step @p268 :rule refl :args (@t548)) % 0.43/0.85 (step @p269 :rule refl :args (tptp.c)) % 0.43/0.85 (step @p270 :rule refl :args (tptp.b)) % 0.43/0.85 (step @p271 :rule refl :args (tptp.p)) % 0.43/0.85 (step @p272 :rule cong :premises (@p271 @p270 @p269 @p268 @p267 @p266) :args (@t549)) % 0.43/0.85 (step @p273 :rule trans :premises (@p272 @p265)) % 0.43/0.85 (step @p274 :rule refl :args (@t10)) % 0.43/0.85 (step @p275 :rule ho_cong :premises (@p274 @p268)) % 0.43/0.85 (step @p276 :rule ho_cong :premises (@p275 @p267)) % 0.43/0.85 (step @p277 :rule ho_cong :premises (@p276 @p266)) % 0.43/0.85 (step @p278 :rule cong :premises (@p277 @p273) :args ((= (_ (_ @t554 @t65) @t175) @t549))) % 0.43/0.85 (step @p279 :rule symm :premises (@p278)) % 0.43/0.85 (step @p280 :rule refl :args (@t492)) % 0.43/0.85 (step @p281 :rule eq_resolve :premises (@p280 @p279)) % 0.43/0.85 (step @p282 :rule refl :args (@t9)) % 0.43/0.85 (step @p283 :rule cong :premises (@p282 @p268) :args ((= @t9 @t548))) % 0.43/0.85 (step @p284 :rule symm :premises (@p283)) % 0.43/0.85 (step @p285 :rule eq_resolve :premises (@p282 @p284)) % 0.43/0.85 (step @p286 :rule ho_cong :premises (@p274 @p285)) % 0.43/0.85 (step @p287 :rule ho_cong :premises (@p286 @p267)) % 0.43/0.85 (step @p288 :rule ho_cong :premises (@p287 @p266)) % 0.43/0.85 (step @p289 :rule trans :premises (@p288 @p281)) % 0.43/0.85 (step @p290 :rule cong :premises (@p289) :args (@t555)) % 0.43/0.85 (step @p291 :rule nary_cong :premises (@p290 @p264 @p258 @p239) :args (@t556)) % 0.43/0.85 (step @p292 :rule cong :premises (@p291) :args ((forall @t184 @t556))) % 0.43/0.85 (step @p293 :rule aci_norm :args ((= (or @t555 (or @t553 (or @t552 @t551))) @t556))) % 0.43/0.85 (step @p294 :rule bool-and-de-morgan :args (@t490 @t488 true)) % 0.43/0.85 (step @p295 :rule refl :args (@t553)) % 0.43/0.85 (step @p296 :rule nary_cong :premises (@p295 @p294) :args ((or @t553 (not (and @t490 @t488))))) % 0.43/0.85 (step @p297 :rule bool-and-de-morgan :args (@t491 @t490 (and @t488))) % 0.43/0.85 (step @p298 :rule trans :premises (@p297 @p296)) % 0.43/0.85 (step @p299 :rule refl :args (@t555)) % 0.43/0.85 (step @p300 :rule nary_cong :premises (@p299 @p298) :args ((or @t555 (not (and @t491 @t490 @t488))))) % 0.43/0.85 (step @p301 :rule bool-and-de-morgan :args (@t492 @t491 (and @t490 @t488))) % 0.43/0.85 (step @p302 :rule trans :premises (@p301 @p300)) % 0.43/0.85 (step @p303 :rule trans :premises (@p302 @p293)) % 0.43/0.85 (step @p304 :rule cong :premises (@p303) :args (@t557)) % 0.43/0.85 (step @p305 :rule trans :premises (@p304 @p292)) % 0.43/0.85 (step @p306 :rule cong :premises (@p305) :args (@t558)) % 0.43/0.85 (step @p307 :rule exists-elim :args ((= @t494 @t558))) % 0.43/0.85 (step @p308 :rule trans :premises (@p307 @p306)) % 0.43/0.85 (step @p309 :rule cong :premises (@p308) :args (@t495)) % 0.43/0.85 (step @p310 :rule trans :premises (@p309 @p219)) % 0.43/0.85 (step @p311 :rule eq_resolve :premises (@p207 @p310)) % 0.43/0.85 (step @p312 :rule refl :args ((tptp.relati23543761ar_int tptp.p tptp.b tptp.c @t9 tptp.sa tptp.s_a))) % 0.43/0.85 (step @p313 :rule refl :args (tptp.s_a)) % 0.43/0.85 (step @p314 :rule refl :args (tptp.sa)) % 0.43/0.85 (step @p315 :rule cong :premises (@p271 @p270 @p269 @p268 @p314 @p313) :args (@t559)) % 0.43/0.85 (step @p316 :rule trans :premises (@p315 @p312)) % 0.43/0.85 (step @p317 :rule ho_cong :premises (@p275 @p314)) % 0.43/0.85 (step @p318 :rule ho_cong :premises (@p317 @p313)) % 0.43/0.85 (step @p319 :rule cong :premises (@p318 @p316) :args ((= (_ (_ @t554 tptp.sa) tptp.s_a) @t559))) % 0.43/0.85 (step @p320 :rule symm :premises (@p319)) % 0.43/0.85 (step @p321 :rule refl :args (@t12)) % 0.43/0.85 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 0.43/0.85 (step @p323 :rule refl :args (tptp.s_a)) % 0.43/0.85 (step @p324 :rule refl :args (tptp.sa)) % 0.43/0.85 (step @p325 :rule refl :args (@t10)) % 0.43/0.85 (step @p326 :rule ho_cong :premises (@p325 @p285)) % 0.43/0.85 (step @p327 :rule ho_cong :premises (@p326 @p324)) % 0.43/0.85 (step @p328 :rule ho_cong :premises (@p327 @p323)) % 0.43/0.85 (step @p329 :rule trans :premises (@p328 @p322)) % 0.43/0.85 (step @p330 :rule eq_resolve :premises (@p5 @p329)) % 0.43/0.85 (step @p331 :rule refl :args ((tptp.big_big_step @t7 tptp.t_a))) % 0.43/0.85 (step @p332 :rule refl :args (@t560)) % 0.43/0.85 (step @p333 :rule cong :premises (@p332 @p221) :args (@t561)) % 0.43/0.85 (step @p334 :rule trans :premises (@p333 @p331)) % 0.43/0.85 (step @p335 :rule ho_cong :premises (@p225 @p332)) % 0.43/0.85 (step @p336 :rule ho_cong :premises (@p335 @p221)) % 0.43/0.85 (step @p337 :rule cong :premises (@p336 @p334) :args ((= (_ (_ tptp.big_big_step @t560) tptp.t_a) @t561))) % 0.43/0.85 (step @p338 :rule symm :premises (@p337)) % 0.43/0.85 (step @p339 :rule refl :args (@t8)) % 0.43/0.85 (step @p340 :rule eq_resolve :premises (@p339 @p338)) % 0.43/0.85 (step @p341 :rule refl :args (tptp.t_a)) % 0.43/0.85 (step @p342 :rule refl :args (@t7)) % 0.43/0.85 (step @p343 :rule cong :premises (@p342 @p332) :args ((= @t7 @t560))) % 0.43/0.85 (step @p344 :rule symm :premises (@p343)) % 0.43/0.85 (step @p345 :rule eq_resolve :premises (@p342 @p344)) % 0.43/0.85 (step @p346 :rule refl :args (tptp.big_big_step)) % 0.43/0.85 (step @p347 :rule ho_cong :premises (@p346 @p345)) % 0.43/0.85 (step @p348 :rule ho_cong :premises (@p347 @p341)) % 0.43/0.85 (step @p349 :rule trans :premises (@p348 @p340)) % 0.43/0.85 (step @p350 :rule eq_resolve :premises (@p4 @p349)) % 0.43/0.85 (step @p351 :rule refl :args ((tptp.big_big_step @t4 tptp.ta))) % 0.43/0.85 (step @p352 :rule refl :args (@t562)) % 0.43/0.85 (step @p353 :rule cong :premises (@p352 @p241) :args (@t563)) % 0.43/0.85 (step @p354 :rule trans :premises (@p353 @p351)) % 0.43/0.85 (step @p355 :rule ho_cong :premises (@p225 @p352)) % 0.43/0.85 (step @p356 :rule ho_cong :premises (@p355 @p241)) % 0.43/0.85 (step @p357 :rule cong :premises (@p356 @p354) :args ((= (_ (_ tptp.big_big_step @t562) tptp.ta) @t563))) % 0.43/0.85 (step @p358 :rule symm :premises (@p357)) % 0.43/0.85 (step @p359 :rule refl :args (@t5)) % 0.43/0.85 (step @p360 :rule eq_resolve :premises (@p359 @p358)) % 0.43/0.85 (step @p361 :rule refl :args (tptp.ta)) % 0.43/0.85 (step @p362 :rule refl :args (@t4)) % 0.43/0.85 (step @p363 :rule cong :premises (@p362 @p352) :args ((= @t4 @t562))) % 0.43/0.85 (step @p364 :rule symm :premises (@p363)) % 0.43/0.85 (step @p365 :rule eq_resolve :premises (@p362 @p364)) % 0.43/0.85 (step @p366 :rule ho_cong :premises (@p346 @p365)) % 0.43/0.85 (step @p367 :rule ho_cong :premises (@p366 @p361)) % 0.43/0.85 (step @p368 :rule trans :premises (@p367 @p360)) % 0.43/0.85 (step @p369 :rule eq_resolve :premises (@p3 @p368)) % 0.43/0.85 (step @p370 :rule refl :args (@t564)) % 0.43/0.85 (step @p371 :rule refl :args (@t2)) % 0.43/0.85 (step @p372 :rule cong :premises (@p371 @p370) :args ((= @t2 @t564))) % 0.43/0.85 (step @p373 :rule symm :premises (@p372)) % 0.43/0.85 (step @p374 :rule eq_resolve :premises (@p371 @p373)) % 0.43/0.85 (step @p375 :rule eq_resolve :premises (@p1 @p374)) % 0.43/0.85 (step @p376 :rule cnf_or_pos :args (@t569)) % 0.43/0.85 (step @p377 :rule reordering :premises (@p376) :args ((or @t567 @t566 @t565 @t568 @t570))) % 0.43/0.85 (step @p378 :rule chain_m_resolution :premises (@p377 @p375 @p369 @p350 @p330) :args (@t570 (@list false false false false) (@list @t564 @t563 @t561 @t559))) % 0.43/0.85 (assume-push @p385 @t550) % 0.43/0.85 (step @p380 :rule instantiate :premises (@p311) :args ((@list tptp.sa tptp.s_a))) % 0.43/0.85 (step-pop @p386 :rule scope :premises (@p380)) % 0.43/0.85 (step @p381 :rule process_scope :premises (@p386) :args (@t569)) % 0.43/0.85 (step @p383 :rule implies_elim :premises (@p381)) % 0.43/0.85 (step @p384 false :rule chain_m_resolution :premises (@p383 @p378 @p311) :args (false (@list true false) (@list @t569 @t550))) % 0.43/0.85 ) % 0.43/0.85 % SZS output end Proof % 0.43/0.85 % cvc5 exiting %------------------------------------------------------------------------------