%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP055^1 : 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 : n014.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 08:24:55 AM UTC 2026 % Result : Theorem 0.48s 0.84s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP055^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 04:12:43 EDT 2026 % 0.17/0.34 % CPUTime : % 0.40/0.62 %----Proving TH0 % 0.48/0.84 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.48/0.84 % SZS status Theorem % 0.48/0.84 % SZS output start Proof % 0.48/0.84 ( % 0.48/0.84 (declare-sort tptp.list_c1059388851t_unit 0) % 0.48/0.84 (declare-sort tptp.set_nat 0) % 0.48/0.84 (declare-sort tptp.message_p_v 0) % 0.48/0.84 (declare-sort tptp.list_message_p_v 0) % 0.48/0.84 (declare-sort tptp.nat 0) % 0.48/0.84 (declare-sort tptp.p 0) % 0.48/0.84 (declare-sort tptp.s 0) % 0.48/0.84 (declare-sort tptp.messageValue_v 0) % 0.48/0.84 (declare-sort tptp.list_l611321411t_unit 0) % 0.48/0.84 (declare-sort tptp.int 0) % 0.48/0.84 (declare-sort tptp.list_l1619404459ge_p_v 0) % 0.48/0.84 (declare-sort tptp.list_l1341496881ge_p_v 0) % 0.48/0.84 (declare-sort tptp.list_l1584713811t_unit 0) % 0.48/0.84 (declare-sort tptp.config256849571t_unit 0) % 0.48/0.84 (declare-const tptp.semiri2019852685at_int (-> tptp.nat tptp.int)) % 0.48/0.84 (declare-const tptp.ord_less_int (-> tptp.int tptp.int Bool)) % 0.48/0.84 (declare-const tptp.ord_less_eq_int (-> tptp.int tptp.int Bool)) % 0.48/0.84 (declare-const tptp.one_one_int tptp.int) % 0.48/0.84 (declare-const tptp.nat2 (-> tptp.int tptp.nat)) % 0.48/0.84 (declare-const tptp.list_ex1_message_p_v (-> (-> tptp.message_p_v Bool) tptp.list_message_p_v Bool)) % 0.48/0.84 (declare-const tptp.list_e1598815642t_unit (-> (-> tptp.config256849571t_unit Bool) tptp.list_c1059388851t_unit Bool)) % 0.48/0.84 (declare-const tptp.ring_1_of_int_int (-> tptp.int tptp.int)) % 0.48/0.84 (declare-const tptp.semiri1382578993at_nat (-> tptp.nat tptp.nat)) % 0.48/0.84 (declare-const tptp.nths_message_p_v (-> tptp.list_message_p_v tptp.set_nat tptp.list_message_p_v)) % 0.48/0.84 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) % 0.48/0.84 (declare-const tptp.insert1308755079t_unit (-> tptp.config256849571t_unit tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit)) % 0.48/0.84 (declare-const tptp.insert_message_p_v (-> tptp.message_p_v tptp.list_message_p_v tptp.list_message_p_v)) % 0.48/0.84 (declare-const tptp.gen_le193291088t_unit (-> tptp.nat tptp.list_c1059388851t_unit tptp.nat)) % 0.48/0.84 (declare-const tptp.uminus_uminus_int (-> tptp.int tptp.int)) % 0.48/0.84 (declare-const tptp.subseqs_message_p_v (-> tptp.list_message_p_v tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (declare-const tptp.one_one_nat tptp.nat) % 0.48/0.84 (declare-const tptp.subseq1144048270t_unit (-> tptp.list_c1059388851t_unit tptp.list_l611321411t_unit)) % 0.48/0.84 (declare-const tptp.nths_c890550943t_unit (-> tptp.list_c1059388851t_unit tptp.set_nat tptp.list_c1059388851t_unit)) % 0.48/0.84 (declare-const tptp.fLPThe9398366_p_s_v (-> (-> tptp.p tptp.s tptp.messageValue_v tptp.s) (-> tptp.p tptp.s tptp.messageValue_v tptp.message_p_v tptp.nat) (-> tptp.p tptp.s) Bool)) % 0.48/0.84 (declare-const tptp.n_lists_message_p_v (-> tptp.nat tptp.list_message_p_v tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (declare-const tptp.n_list1987762709t_unit (-> tptp.nat tptp.list_c1059388851t_unit tptp.list_l611321411t_unit)) % 0.48/0.84 (declare-const tptp.zero_zero_int tptp.int) % 0.48/0.84 (declare-const tptp.produc1505827982ge_p_v (-> tptp.list_l1619404459ge_p_v tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (declare-const tptp.fLPThe536531371_p_v_s (-> tptp.config256849571t_unit (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit) (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v) tptp.nat tptp.list_message_p_v)) % 0.48/0.84 (declare-const tptp.nil_li835338673ge_p_v tptp.list_l1341496881ge_p_v) % 0.48/0.84 (declare-const tptp.cons_l1383421281ge_p_v (-> tptp.list_l1619404459ge_p_v tptp.list_l1341496881ge_p_v tptp.list_l1341496881ge_p_v)) % 0.48/0.84 (declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool)) % 0.48/0.84 (declare-const tptp.na tptp.nat) % 0.48/0.84 (declare-const tptp.cons_l1083444861t_unit (-> tptp.list_c1059388851t_unit tptp.list_l611321411t_unit tptp.list_l611321411t_unit)) % 0.48/0.84 (declare-const tptp.cfg tptp.config256849571t_unit) % 0.48/0.84 (declare-const tptp.nil_co1338500125t_unit tptp.list_c1059388851t_unit) % 0.48/0.84 (declare-const tptp.zero_zero_nat tptp.nat) % 0.48/0.84 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.48/0.84 (declare-const tptp.nil_li2108369341t_unit tptp.list_l1584713811t_unit) % 0.48/0.84 (declare-const tptp.m tptp.nat) % 0.48/0.84 (declare-const tptp.n tptp.nat) % 0.48/0.84 (declare-const tptp.cons_l1777019405t_unit (-> tptp.list_l611321411t_unit tptp.list_l1584713811t_unit tptp.list_l1584713811t_unit)) % 0.48/0.84 (declare-const tptp.gen_le697204914ge_p_v (-> tptp.nat tptp.list_message_p_v tptp.nat)) % 0.48/0.84 (declare-const tptp.fe (-> tptp.nat tptp.list_c1059388851t_unit)) % 0.48/0.84 (declare-const tptp.cons_l233104475ge_p_v (-> tptp.list_message_p_v tptp.list_l1619404459ge_p_v tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (declare-const tptp.cons_message_p_v (-> tptp.message_p_v tptp.list_message_p_v tptp.list_message_p_v)) % 0.48/0.84 (declare-const tptp.produc663212148t_unit (-> tptp.list_l611321411t_unit tptp.list_l611321411t_unit)) % 0.48/0.84 (declare-const tptp.fLPThe1519354920_p_v_s (-> tptp.config256849571t_unit (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit) (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v) tptp.nat tptp.list_c1059388851t_unit)) % 0.48/0.84 (declare-const tptp.cons_c1162654829t_unit (-> tptp.config256849571t_unit tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit)) % 0.48/0.84 (declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.set_nat)) % 0.48/0.84 (declare-const tptp.prefix47729710ge_p_v (-> tptp.list_message_p_v tptp.list_message_p_v Bool)) % 0.48/0.84 (declare-const tptp.size_s1168481041ge_p_v (-> tptp.list_message_p_v tptp.nat)) % 0.48/0.84 (declare-const tptp.prefix1615116500t_unit (-> tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit Bool)) % 0.48/0.84 (declare-const tptp.size_s1406904903t_unit (-> tptp.list_c1059388851t_unit tptp.nat)) % 0.48/0.84 (declare-const tptp.nil_li307996205t_unit tptp.list_l611321411t_unit) % 0.48/0.84 (declare-const tptp.nil_list_message_p_v tptp.list_l1619404459ge_p_v) % 0.48/0.84 (declare-const tptp.nil_message_p_v tptp.list_message_p_v) % 0.48/0.84 (declare-const tptp.prefix747844452t_unit (-> tptp.list_l611321411t_unit tptp.list_l611321411t_unit Bool)) % 0.48/0.84 (declare-const tptp.size_s503142615t_unit (-> tptp.list_l611321411t_unit tptp.nat)) % 0.48/0.84 (declare-const tptp.prefix1465223476ge_p_v (-> tptp.list_l1619404459ge_p_v tptp.list_l1619404459ge_p_v Bool)) % 0.48/0.84 (declare-const tptp.size_s1809856791ge_p_v (-> tptp.list_l1619404459ge_p_v tptp.nat)) % 0.48/0.84 (define tptp.ord_less_nat () (let ((_let_1 (@var "B" tptp.nat))) (let ((_let_2 (@var "A10" tptp.nat))) (lambda (@list _let_2 _let_1) (_ (_ tptp.ord_less_int (_ tptp.semiri2019852685at_int _let_2)) (_ tptp.semiri2019852685at_int _let_1)))))) % 0.48/0.84 (define @t1 () (_ tptp.ord_less_nat tptp.m)) % 0.48/0.84 (define @t2 () (_ @t1 tptp.na)) % 0.48/0.84 (define @t3 () (_ (_ tptp.prefix1615116500t_unit (_ tptp.fe tptp.m)) (_ tptp.fe tptp.na))) % 0.48/0.84 (define @t4 () (=> @t2 @t3)) % 0.48/0.84 (define @t5 () (@var "L3" tptp.list_message_p_v)) % 0.48/0.84 (define @t6 () (@var "L1" tptp.list_message_p_v)) % 0.48/0.84 (define @t7 () (_ tptp.prefix47729710ge_p_v @t6)) % 0.48/0.84 (define @t8 () (@var "L2" tptp.list_message_p_v)) % 0.48/0.84 (define @t9 () (_ @t7 @t8)) % 0.48/0.84 (define @t10 () (@var "L3" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t11 () (@var "L1" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t12 () (_ tptp.prefix1615116500t_unit @t11)) % 0.48/0.84 (define @t13 () (@var "L2" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t14 () (_ @t12 @t13)) % 0.48/0.84 (define @t15 () (@var "Xb" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t16 () (@var "X" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t17 () (_ tptp.cons_l1083444861t_unit @t16)) % 0.48/0.84 (define @t18 () (@var "Xa" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t19 () (@var "Xb" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t20 () (@var "X" tptp.list_message_p_v)) % 0.48/0.84 (define @t21 () (_ tptp.cons_l233104475ge_p_v @t20)) % 0.48/0.84 (define @t22 () (@var "Xa" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t23 () (@var "Xb" tptp.list_message_p_v)) % 0.48/0.84 (define @t24 () (@var "X" tptp.message_p_v)) % 0.48/0.84 (define @t25 () (_ tptp.cons_message_p_v @t24)) % 0.48/0.84 (define @t26 () (@var "Xa" tptp.list_message_p_v)) % 0.48/0.84 (define @t27 () (@var "Xb" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t28 () (@var "X" tptp.config256849571t_unit)) % 0.48/0.84 (define @t29 () (_ tptp.cons_c1162654829t_unit @t28)) % 0.48/0.84 (define @t30 () (@var "Xa" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t31 () (@var "A7" tptp.nat)) % 0.48/0.84 (define @t32 () (@var "A6" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) % 0.48/0.84 (define @t33 () (@var "A5" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) % 0.48/0.84 (define @t34 () (@var "A4" tptp.config256849571t_unit)) % 0.48/0.84 (define @t35 () (@var "Q" (-> tptp.config256849571t_unit (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit) (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v) tptp.nat Bool))) % 0.48/0.84 (define @t36 () (@var "N" tptp.nat)) % 0.48/0.84 (define @t37 () (_ tptp.suc @t36)) % 0.48/0.84 (define @t38 () (@var "FStepMsg" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) % 0.48/0.84 (define @t39 () (@var "FStepCfg" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) % 0.48/0.84 (define @t40 () (@var "Cfg" tptp.config256849571t_unit)) % 0.48/0.84 (define @t41 () (_ (_ (_ @t35 @t40) @t39) @t38)) % 0.48/0.84 (define @t42 () (_ @t41 @t36)) % 0.48/0.84 (define @t43 () (@var "P" (-> tptp.config256849571t_unit (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit) (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v) tptp.nat Bool))) % 0.48/0.84 (define @t44 () (_ (_ (_ @t43 @t40) @t39) @t38)) % 0.48/0.84 (define @t45 () (_ @t44 @t36)) % 0.48/0.84 (define @t46 () (@list @t40 @t39 @t38 @t36)) % 0.48/0.84 (define @t47 () (forall @t46 (=> @t45 (=> @t42 (_ @t41 @t37))))) % 0.48/0.84 (define @t48 () (@list @t40 @t39 @t38)) % 0.48/0.84 (define @t49 () (forall @t48 (_ @t41 tptp.zero_zero_nat))) % 0.48/0.84 (define @t50 () (forall @t46 (=> @t45 (=> @t42 (_ @t44 @t37))))) % 0.48/0.84 (define @t51 () (forall @t48 (_ @t44 tptp.zero_zero_nat))) % 0.48/0.84 (define @t52 () (@var "A3" tptp.nat)) % 0.48/0.84 (define @t53 () (@var "A2" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) % 0.48/0.84 (define @t54 () (@var "A1" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) % 0.48/0.84 (define @t55 () (@var "A0" tptp.config256849571t_unit)) % 0.48/0.84 (define @t56 () (@var "Xs" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t57 () (_ @t17 @t56)) % 0.48/0.84 (define @t58 () (@list @t16 @t56)) % 0.48/0.84 (define @t59 () (@var "Xs" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t60 () (_ @t21 @t59)) % 0.48/0.84 (define @t61 () (@list @t20 @t59)) % 0.48/0.84 (define @t62 () (@var "Xs" tptp.list_message_p_v)) % 0.48/0.84 (define @t63 () (_ @t25 @t62)) % 0.48/0.84 (define @t64 () (@list @t24 @t62)) % 0.48/0.84 (define @t65 () (@var "Xs" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t66 () (_ @t29 @t65)) % 0.48/0.84 (define @t67 () (@list @t28 @t65)) % 0.48/0.84 (define @t68 () (@var "Xb2" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t69 () (@var "Xa2" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t70 () (_ (_ tptp.prefix747844452t_unit @t69) @t68)) % 0.48/0.84 (define @t71 () (@var "X2" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t72 () (_ tptp.cons_l1083444861t_unit @t71)) % 0.48/0.84 (define @t73 () (_ @t72 @t68)) % 0.48/0.84 (define @t74 () (@var "A2" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t75 () (_ @t72 @t69)) % 0.48/0.84 (define @t76 () (@var "A1" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t77 () (@list @t69 @t68 @t71)) % 0.48/0.84 (define @t78 () (@var "Xs2" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t79 () (_ @t72 @t78)) % 0.48/0.84 (define @t80 () (@list @t71 @t78)) % 0.48/0.84 (define @t81 () (@var "Xb2" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t82 () (@var "Xa2" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t83 () (_ (_ tptp.prefix1465223476ge_p_v @t82) @t81)) % 0.48/0.84 (define @t84 () (@var "X2" tptp.list_message_p_v)) % 0.48/0.84 (define @t85 () (_ tptp.cons_l233104475ge_p_v @t84)) % 0.48/0.84 (define @t86 () (_ @t85 @t81)) % 0.48/0.84 (define @t87 () (@var "A2" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t88 () (_ @t85 @t82)) % 0.48/0.84 (define @t89 () (@var "A1" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t90 () (@list @t82 @t81 @t84)) % 0.48/0.84 (define @t91 () (@var "Xs2" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t92 () (_ @t85 @t91)) % 0.48/0.84 (define @t93 () (@list @t84 @t91)) % 0.48/0.84 (define @t94 () (@var "Xb2" tptp.list_message_p_v)) % 0.48/0.84 (define @t95 () (@var "Xa2" tptp.list_message_p_v)) % 0.48/0.84 (define @t96 () (_ (_ tptp.prefix47729710ge_p_v @t95) @t94)) % 0.48/0.84 (define @t97 () (@var "X2" tptp.message_p_v)) % 0.48/0.84 (define @t98 () (_ tptp.cons_message_p_v @t97)) % 0.48/0.84 (define @t99 () (_ @t98 @t94)) % 0.48/0.84 (define @t100 () (@var "A2" tptp.list_message_p_v)) % 0.48/0.84 (define @t101 () (_ @t98 @t95)) % 0.48/0.84 (define @t102 () (@var "A1" tptp.list_message_p_v)) % 0.48/0.84 (define @t103 () (@list @t95 @t94 @t97)) % 0.48/0.84 (define @t104 () (@var "Xs2" tptp.list_message_p_v)) % 0.48/0.84 (define @t105 () (_ @t98 @t104)) % 0.48/0.84 (define @t106 () (@list @t97 @t104)) % 0.48/0.84 (define @t107 () (@var "Xb2" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t108 () (@var "Xa2" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t109 () (_ (_ tptp.prefix1615116500t_unit @t108) @t107)) % 0.48/0.84 (define @t110 () (@var "X2" tptp.config256849571t_unit)) % 0.48/0.84 (define @t111 () (_ tptp.cons_c1162654829t_unit @t110)) % 0.48/0.84 (define @t112 () (_ @t111 @t107)) % 0.48/0.84 (define @t113 () (@var "A2" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t114 () (_ @t111 @t108)) % 0.48/0.84 (define @t115 () (@var "A1" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t116 () (@list @t108 @t107 @t110)) % 0.48/0.84 (define @t117 () (@var "Xs2" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t118 () (_ @t111 @t117)) % 0.48/0.84 (define @t119 () (@list @t110 @t117)) % 0.48/0.84 (define @t120 () (@var "Xb3" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t121 () (@var "Xa3" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t122 () (@var "X3" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t123 () (_ tptp.cons_l1083444861t_unit @t122)) % 0.48/0.84 (define @t124 () (@var "A22" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t125 () (@var "A12" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t126 () (@var "Xs3" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t127 () (@var "Xb3" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t128 () (@var "Xa3" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t129 () (@var "X3" tptp.list_message_p_v)) % 0.48/0.84 (define @t130 () (_ tptp.cons_l233104475ge_p_v @t129)) % 0.48/0.84 (define @t131 () (@var "A22" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t132 () (@var "A12" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t133 () (@var "Xs3" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t134 () (@var "Xb3" tptp.list_message_p_v)) % 0.48/0.84 (define @t135 () (@var "Xa3" tptp.list_message_p_v)) % 0.48/0.84 (define @t136 () (@var "X3" tptp.message_p_v)) % 0.48/0.84 (define @t137 () (_ tptp.cons_message_p_v @t136)) % 0.48/0.84 (define @t138 () (@var "A22" tptp.list_message_p_v)) % 0.48/0.84 (define @t139 () (@var "A12" tptp.list_message_p_v)) % 0.48/0.84 (define @t140 () (@var "Xs3" tptp.list_message_p_v)) % 0.48/0.84 (define @t141 () (@var "Xb3" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t142 () (@var "Xa3" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t143 () (@var "X3" tptp.config256849571t_unit)) % 0.48/0.84 (define @t144 () (_ tptp.cons_c1162654829t_unit @t143)) % 0.48/0.84 (define @t145 () (@var "A22" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t146 () (@var "A12" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t147 () (@var "Xs3" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t148 () (@var "X22" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t149 () (@var "X1" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t150 () (@var "P" (-> tptp.list_l611321411t_unit tptp.list_l611321411t_unit Bool))) % 0.48/0.84 (define @t151 () (@var "X22" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t152 () (@var "X1" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t153 () (@var "P" (-> tptp.list_l1619404459ge_p_v tptp.list_l1619404459ge_p_v Bool))) % 0.48/0.84 (define @t154 () (_ @t153 tptp.nil_list_message_p_v)) % 0.48/0.84 (define @t155 () (@var "X22" tptp.list_message_p_v)) % 0.48/0.84 (define @t156 () (@var "X1" tptp.list_message_p_v)) % 0.48/0.84 (define @t157 () (@var "P" (-> tptp.list_message_p_v tptp.list_message_p_v Bool))) % 0.48/0.84 (define @t158 () (_ @t157 tptp.nil_message_p_v)) % 0.48/0.84 (define @t159 () (@var "X22" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t160 () (@var "X1" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t161 () (@var "P" (-> tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit Bool))) % 0.48/0.84 (define @t162 () (_ @t161 tptp.nil_co1338500125t_unit)) % 0.48/0.84 (define @t163 () (@var "Pr" (-> tptp.nat Bool))) % 0.48/0.84 (define @t164 () (@var "N2" tptp.nat)) % 0.48/0.84 (define @t165 () (@list @t36)) % 0.48/0.84 (define @t166 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) % 0.48/0.84 (define @t167 () (@var "Cfg2" tptp.config256849571t_unit)) % 0.48/0.84 (define @t168 () (@var "FStepMsg2" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) % 0.48/0.84 (define @t169 () (@var "FStepCfg2" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) % 0.48/0.84 (define @t170 () (_ (_ (_ tptp.fLPThe1519354920_p_v_s @t167) @t169) @t168)) % 0.48/0.84 (define @t171 () (= (_ @t170 tptp.zero_zero_nat) (_ (_ tptp.cons_c1162654829t_unit @t167) tptp.nil_co1338500125t_unit))) % 0.48/0.84 (define @t172 () (@list @t167 @t169 @t168)) % 0.48/0.84 (define @t173 () (= @t56 tptp.nil_li307996205t_unit)) % 0.48/0.84 (define @t174 () (not @t173)) % 0.48/0.84 (define @t175 () (_ tptp.size_s503142615t_unit @t56)) % 0.48/0.84 (define @t176 () (@list @t56)) % 0.48/0.84 (define @t177 () (= @t59 tptp.nil_list_message_p_v)) % 0.48/0.84 (define @t178 () (not @t177)) % 0.48/0.84 (define @t179 () (_ tptp.size_s1809856791ge_p_v @t59)) % 0.48/0.84 (define @t180 () (@list @t59)) % 0.48/0.84 (define @t181 () (= @t62 tptp.nil_message_p_v)) % 0.48/0.84 (define @t182 () (not @t181)) % 0.48/0.84 (define @t183 () (_ tptp.size_s1168481041ge_p_v @t62)) % 0.48/0.84 (define @t184 () (@list @t62)) % 0.48/0.84 (define @t185 () (= @t65 tptp.nil_co1338500125t_unit)) % 0.48/0.84 (define @t186 () (not @t185)) % 0.48/0.84 (define @t187 () (_ tptp.size_s1406904903t_unit @t65)) % 0.48/0.84 (define @t188 () (@list @t65)) % 0.48/0.84 (define @t189 () (@var "N3" tptp.nat)) % 0.48/0.84 (define @t190 () (= @t189 tptp.zero_zero_nat)) % 0.48/0.84 (define @t191 () (_ tptp.suc tptp.zero_zero_nat)) % 0.48/0.84 (define @t192 () (_ tptp.ord_less_nat @t189)) % 0.48/0.84 (define @t193 () (@list @t189)) % 0.48/0.84 (define @t194 () (_ tptp.suc @t189)) % 0.48/0.84 (define @t195 () (@var "M" tptp.nat)) % 0.48/0.84 (define @t196 () (_ tptp.suc @t195)) % 0.48/0.84 (define @t197 () (_ tptp.ord_less_nat @t196)) % 0.48/0.84 (define @t198 () (_ @t197 @t194)) % 0.48/0.84 (define @t199 () (_ tptp.ord_less_nat @t195)) % 0.48/0.84 (define @t200 () (_ @t199 @t189)) % 0.48/0.84 (define @t201 () (@list @t195 @t189)) % 0.48/0.84 (define @t202 () (_ @t166 @t189)) % 0.48/0.84 (define @t203 () (not @t190)) % 0.48/0.84 (define @t204 () (@var "A" tptp.nat)) % 0.48/0.84 (define @t205 () (@list @t204)) % 0.48/0.84 (define @t206 () (@var "Y22" tptp.list_message_p_v)) % 0.48/0.84 (define @t207 () (@var "X222" tptp.list_message_p_v)) % 0.48/0.84 (define @t208 () (@var "Y21" tptp.message_p_v)) % 0.48/0.84 (define @t209 () (@var "X21" tptp.message_p_v)) % 0.48/0.84 (define @t210 () (_ (_ tptp.cons_message_p_v @t209) @t207)) % 0.48/0.84 (define @t211 () (@var "Y22" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t212 () (@var "X222" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t213 () (@var "Y21" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t214 () (@var "X21" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t215 () (@var "Y22" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t216 () (@var "X222" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t217 () (@var "Y21" tptp.list_message_p_v)) % 0.48/0.84 (define @t218 () (@var "X21" tptp.list_message_p_v)) % 0.48/0.84 (define @t219 () (@var "Y22" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t220 () (@var "X222" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t221 () (@var "Y21" tptp.config256849571t_unit)) % 0.48/0.84 (define @t222 () (@var "X21" tptp.config256849571t_unit)) % 0.48/0.84 (define @t223 () (_ (_ tptp.cons_c1162654829t_unit @t222) @t220)) % 0.48/0.84 (define @t224 () (@var "Nat2" tptp.nat)) % 0.48/0.84 (define @t225 () (@var "Nat" tptp.nat)) % 0.48/0.84 (define @t226 () (_ tptp.suc @t224)) % 0.48/0.84 (define @t227 () (@var "Y2" tptp.nat)) % 0.48/0.84 (define @t228 () (@var "X22" tptp.nat)) % 0.48/0.84 (define @t229 () (_ tptp.suc @t228)) % 0.48/0.84 (define @t230 () (@var "Y" tptp.nat)) % 0.48/0.84 (define @t231 () (@var "X" tptp.nat)) % 0.48/0.84 (define @t232 () (= @t231 @t230)) % 0.48/0.84 (define @t233 () (@list @t231 @t230)) % 0.48/0.84 (define @t234 () (@var "P" (-> tptp.nat Bool))) % 0.48/0.84 (define @t235 () (_ @t234 @t189)) % 0.48/0.84 (define @t236 () (@var "M2" tptp.nat)) % 0.48/0.84 (define @t237 () (_ @t234 @t236)) % 0.48/0.84 (define @t238 () (_ (_ tptp.ord_less_nat @t236) @t36)) % 0.48/0.84 (define @t239 () (@list @t236)) % 0.48/0.84 (define @t240 () (_ @t234 @t36)) % 0.48/0.84 (define @t241 () (=> (not @t240) (exists @t239 (and @t238 (not @t237))))) % 0.48/0.84 (define @t242 () (@list @t234 @t189)) % 0.48/0.84 (define @t243 () (@var "T" tptp.nat)) % 0.48/0.84 (define @t244 () (@var "S" tptp.nat)) % 0.48/0.84 (define @t245 () (= @t195 @t189)) % 0.48/0.84 (define @t246 () (not @t245)) % 0.48/0.84 (define @t247 () (_ @t192 @t195)) % 0.48/0.84 (define @t248 () (@list @t189 @t195)) % 0.48/0.84 (define @t249 () (@var "A8" tptp.set_nat)) % 0.48/0.84 (define @t250 () (@var "X3" tptp.nat)) % 0.48/0.84 (define @t251 () (@list @t249)) % 0.48/0.84 (define @t252 () (@var "Y" tptp.list_message_p_v)) % 0.48/0.84 (define @t253 () (@var "Y" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t254 () (@var "Ys" tptp.list_message_p_v)) % 0.48/0.84 (define @t255 () (_ tptp.size_s1168481041ge_p_v @t254)) % 0.48/0.84 (define @t256 () (= @t183 @t255)) % 0.48/0.84 (define @t257 () (@var "Ys" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t258 () (_ tptp.size_s1406904903t_unit @t257)) % 0.48/0.84 (define @t259 () (= @t187 @t258)) % 0.48/0.84 (define @t260 () (_ tptp.size_s1168481041ge_p_v @t104)) % 0.48/0.84 (define @t261 () (@list @t104)) % 0.48/0.84 (define @t262 () (_ tptp.size_s1406904903t_unit @t117)) % 0.48/0.84 (define @t263 () (@list @t117)) % 0.48/0.84 (define @t264 () (@var "M3" tptp.nat)) % 0.48/0.84 (define @t265 () (exists (@list @t264) (= @t189 (_ tptp.suc @t264)))) % 0.48/0.84 (define @t266 () (@var "Nat3" tptp.nat)) % 0.48/0.84 (define @t267 () (_ tptp.suc @t266)) % 0.48/0.84 (define @t268 () (@list @t266)) % 0.48/0.84 (define @t269 () (_ @t234 tptp.zero_zero_nat)) % 0.48/0.84 (define @t270 () (@list @t195)) % 0.48/0.84 (define @t271 () (_ @t234 @t37)) % 0.48/0.84 (define @t272 () (@var "K" tptp.nat)) % 0.48/0.84 (define @t273 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 0.48/0.84 (define @t274 () (@var "Y3" tptp.nat)) % 0.48/0.84 (define @t275 () (_ tptp.suc @t274)) % 0.48/0.84 (define @t276 () (@var "X2" tptp.nat)) % 0.48/0.84 (define @t277 () (_ @t273 @t276)) % 0.48/0.84 (define @t278 () (@list @t224)) % 0.48/0.84 (define @t279 () (_ tptp.ord_less_nat @t204)) % 0.48/0.84 (define @t280 () (_ @t166 @t36)) % 0.48/0.84 (define @t281 () (_ @t192 @t196)) % 0.48/0.84 (define @t282 () (not @t247)) % 0.48/0.84 (define @t283 () (@var "I" tptp.nat)) % 0.48/0.84 (define @t284 () (@var "I2" tptp.nat)) % 0.48/0.84 (define @t285 () (_ @t234 @t284)) % 0.48/0.84 (define @t286 () (_ tptp.suc @t284)) % 0.48/0.84 (define @t287 () (@var "J" tptp.nat)) % 0.48/0.84 (define @t288 () (_ tptp.ord_less_nat @t284)) % 0.48/0.84 (define @t289 () (@list @t284)) % 0.48/0.84 (define @t290 () (_ tptp.ord_less_nat @t283)) % 0.48/0.84 (define @t291 () (_ @t290 @t287)) % 0.48/0.84 (define @t292 () (@var "K2" tptp.nat)) % 0.48/0.84 (define @t293 () (_ @t273 @t284)) % 0.48/0.84 (define @t294 () (@var "J2" tptp.nat)) % 0.48/0.84 (define @t295 () (_ tptp.suc @t283)) % 0.48/0.84 (define @t296 () (_ (_ tptp.ord_less_nat @t295) @t272)) % 0.48/0.84 (define @t297 () (@var "M4" tptp.nat)) % 0.48/0.84 (define @t298 () (@var "I3" tptp.nat)) % 0.48/0.84 (define @t299 () (_ @t234 @t298)) % 0.48/0.84 (define @t300 () (_ tptp.ord_less_nat @t298)) % 0.48/0.84 (define @t301 () (_ @t300 @t189)) % 0.48/0.84 (define @t302 () (@list @t298)) % 0.48/0.84 (define @t303 () (_ @t300 @t194)) % 0.48/0.84 (define @t304 () (forall @t302 (=> @t303 @t299))) % 0.48/0.84 (define @t305 () (@list @t189 @t234)) % 0.48/0.84 (define @t306 () (not @t200)) % 0.48/0.84 (define @t307 () (_ @t199 @t194)) % 0.48/0.84 (define @t308 () (exists @t302 (and @t303 @t299))) % 0.48/0.84 (define @t309 () (_ @t197 @t189)) % 0.48/0.84 (define @t310 () (not (forall (@list @t294) (=> (_ @t290 @t294) (not (= @t272 (_ tptp.suc @t294))))))) % 0.48/0.84 (define @t311 () (@list @t283 @t272)) % 0.48/0.84 (define @t312 () (@var "A0" (-> tptp.message_p_v tptp.config256849571t_unit))) % 0.48/0.84 (define @t313 () (@var "P" (-> (-> tptp.message_p_v tptp.config256849571t_unit) tptp.list_message_p_v tptp.list_c1059388851t_unit Bool))) % 0.48/0.84 (define @t314 () (@var "Bs" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t315 () (@var "As" tptp.list_message_p_v)) % 0.48/0.84 (define @t316 () (@var "A9" tptp.message_p_v)) % 0.48/0.84 (define @t317 () (_ (_ tptp.cons_message_p_v @t316) @t315)) % 0.48/0.84 (define @t318 () (@var "F" (-> tptp.message_p_v tptp.config256849571t_unit))) % 0.48/0.84 (define @t319 () (_ @t313 @t318)) % 0.48/0.84 (define @t320 () (@var "X_1" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t321 () (@var "A0" (-> tptp.config256849571t_unit tptp.config256849571t_unit))) % 0.48/0.84 (define @t322 () (@var "P" (-> (-> tptp.config256849571t_unit tptp.config256849571t_unit) tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit Bool))) % 0.48/0.84 (define @t323 () (@var "As" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t324 () (@var "A9" tptp.config256849571t_unit)) % 0.48/0.84 (define @t325 () (_ (_ tptp.cons_c1162654829t_unit @t324) @t323)) % 0.48/0.84 (define @t326 () (@var "F" (-> tptp.config256849571t_unit tptp.config256849571t_unit))) % 0.48/0.84 (define @t327 () (_ @t322 @t326)) % 0.48/0.84 (define @t328 () (@var "A0" (-> tptp.message_p_v tptp.message_p_v))) % 0.48/0.84 (define @t329 () (@var "P" (-> (-> tptp.message_p_v tptp.message_p_v) tptp.list_message_p_v tptp.list_message_p_v Bool))) % 0.48/0.84 (define @t330 () (@var "Bs" tptp.list_message_p_v)) % 0.48/0.84 (define @t331 () (@var "F" (-> tptp.message_p_v tptp.message_p_v))) % 0.48/0.84 (define @t332 () (_ @t329 @t331)) % 0.48/0.84 (define @t333 () (@var "X_1" tptp.list_message_p_v)) % 0.48/0.84 (define @t334 () (@var "A0" (-> tptp.list_message_p_v tptp.message_p_v))) % 0.48/0.84 (define @t335 () (@var "P" (-> (-> tptp.list_message_p_v tptp.message_p_v) tptp.list_l1619404459ge_p_v tptp.list_message_p_v Bool))) % 0.48/0.84 (define @t336 () (@var "As" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t337 () (@var "A9" tptp.list_message_p_v)) % 0.48/0.84 (define @t338 () (_ (_ tptp.cons_l233104475ge_p_v @t337) @t336)) % 0.48/0.84 (define @t339 () (@var "F" (-> tptp.list_message_p_v tptp.message_p_v))) % 0.48/0.84 (define @t340 () (_ @t335 @t339)) % 0.48/0.84 (define @t341 () (@var "A0" (-> tptp.message_p_v tptp.list_message_p_v))) % 0.48/0.84 (define @t342 () (@var "P" (-> (-> tptp.message_p_v tptp.list_message_p_v) tptp.list_message_p_v tptp.list_l1619404459ge_p_v Bool))) % 0.48/0.84 (define @t343 () (@var "Bs" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t344 () (@var "F" (-> tptp.message_p_v tptp.list_message_p_v))) % 0.48/0.84 (define @t345 () (_ @t342 @t344)) % 0.48/0.84 (define @t346 () (@var "X_1" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t347 () (@var "A0" (-> tptp.config256849571t_unit tptp.message_p_v))) % 0.48/0.84 (define @t348 () (@var "P" (-> (-> tptp.config256849571t_unit tptp.message_p_v) tptp.list_c1059388851t_unit tptp.list_message_p_v Bool))) % 0.48/0.84 (define @t349 () (@var "F" (-> tptp.config256849571t_unit tptp.message_p_v))) % 0.48/0.84 (define @t350 () (_ @t348 @t349)) % 0.48/0.84 (define @t351 () (@var "A0" (-> tptp.list_message_p_v tptp.list_message_p_v))) % 0.48/0.84 (define @t352 () (@var "P" (-> (-> tptp.list_message_p_v tptp.list_message_p_v) tptp.list_l1619404459ge_p_v tptp.list_l1619404459ge_p_v Bool))) % 0.48/0.84 (define @t353 () (@var "F" (-> tptp.list_message_p_v tptp.list_message_p_v))) % 0.48/0.84 (define @t354 () (_ @t352 @t353)) % 0.48/0.84 (define @t355 () (@var "A0" (-> tptp.list_message_p_v tptp.config256849571t_unit))) % 0.48/0.84 (define @t356 () (@var "P" (-> (-> tptp.list_message_p_v tptp.config256849571t_unit) tptp.list_l1619404459ge_p_v tptp.list_c1059388851t_unit Bool))) % 0.48/0.84 (define @t357 () (@var "F" (-> tptp.list_message_p_v tptp.config256849571t_unit))) % 0.48/0.84 (define @t358 () (_ @t356 @t357)) % 0.48/0.84 (define @t359 () (@var "A0" (-> tptp.list_c1059388851t_unit tptp.message_p_v))) % 0.48/0.84 (define @t360 () (@var "P" (-> (-> tptp.list_c1059388851t_unit tptp.message_p_v) tptp.list_l611321411t_unit tptp.list_message_p_v Bool))) % 0.48/0.84 (define @t361 () (@var "As" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t362 () (@var "A9" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t363 () (@var "F" (-> tptp.list_c1059388851t_unit tptp.message_p_v))) % 0.48/0.84 (define @t364 () (_ @t360 @t363)) % 0.48/0.84 (define @t365 () (@var "A0" (-> tptp.message_p_v tptp.list_c1059388851t_unit))) % 0.48/0.84 (define @t366 () (@var "P" (-> (-> tptp.message_p_v tptp.list_c1059388851t_unit) tptp.list_message_p_v tptp.list_l611321411t_unit Bool))) % 0.48/0.84 (define @t367 () (@var "Bs" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t368 () (@var "F" (-> tptp.message_p_v tptp.list_c1059388851t_unit))) % 0.48/0.84 (define @t369 () (_ @t366 @t368)) % 0.48/0.84 (define @t370 () (@var "X_1" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t371 () (@var "P" (-> tptp.list_l611321411t_unit Bool))) % 0.48/0.84 (define @t372 () (_ @t371 @t79)) % 0.48/0.84 (define @t373 () (_ @t72 tptp.nil_li307996205t_unit)) % 0.48/0.84 (define @t374 () (@list @t71)) % 0.48/0.84 (define @t375 () (forall @t374 (_ @t371 @t373))) % 0.48/0.84 (define @t376 () (@var "P" (-> tptp.list_l1619404459ge_p_v Bool))) % 0.48/0.84 (define @t377 () (_ @t376 @t92)) % 0.48/0.84 (define @t378 () (_ @t85 tptp.nil_list_message_p_v)) % 0.48/0.84 (define @t379 () (@list @t84)) % 0.48/0.84 (define @t380 () (forall @t379 (_ @t376 @t378))) % 0.48/0.84 (define @t381 () (@var "P" (-> tptp.list_message_p_v Bool))) % 0.48/0.84 (define @t382 () (_ @t381 @t62)) % 0.48/0.84 (define @t383 () (_ @t381 @t105)) % 0.48/0.84 (define @t384 () (_ @t98 tptp.nil_message_p_v)) % 0.48/0.84 (define @t385 () (@list @t97)) % 0.48/0.84 (define @t386 () (forall @t385 (_ @t381 @t384))) % 0.48/0.84 (define @t387 () (@var "P" (-> tptp.list_c1059388851t_unit Bool))) % 0.48/0.84 (define @t388 () (_ @t387 @t65)) % 0.48/0.84 (define @t389 () (_ @t387 @t118)) % 0.48/0.84 (define @t390 () (_ @t387 @t117)) % 0.48/0.84 (define @t391 () (_ @t111 tptp.nil_co1338500125t_unit)) % 0.48/0.84 (define @t392 () (@list @t110)) % 0.48/0.84 (define @t393 () (forall @t392 (_ @t387 @t391))) % 0.48/0.84 (define @t394 () (@var "A0" (-> tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit Bool))) % 0.48/0.84 (define @t395 () (@var "P" (-> (-> tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit Bool) tptp.list_l611321411t_unit Bool))) % 0.48/0.84 (define @t396 () (_ (_ @t395 @t394) @t76)) % 0.48/0.84 (define @t397 () (@var "Y3" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t398 () (_ (_ tptp.cons_l1083444861t_unit @t397) @t78)) % 0.48/0.84 (define @t399 () (_ @t72 @t398)) % 0.48/0.84 (define @t400 () (@var "P2" (-> tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit Bool))) % 0.48/0.84 (define @t401 () (_ @t395 @t400)) % 0.48/0.84 (define @t402 () (forall (@list @t400) (_ @t401 tptp.nil_li307996205t_unit))) % 0.48/0.84 (define @t403 () (@list @t395 @t394 @t76)) % 0.48/0.84 (define @t404 () (@var "A0" (-> tptp.list_message_p_v tptp.list_message_p_v Bool))) % 0.48/0.84 (define @t405 () (@var "P" (-> (-> tptp.list_message_p_v tptp.list_message_p_v Bool) tptp.list_l1619404459ge_p_v Bool))) % 0.48/0.84 (define @t406 () (_ (_ @t405 @t404) @t89)) % 0.48/0.84 (define @t407 () (@var "Y3" tptp.list_message_p_v)) % 0.48/0.84 (define @t408 () (_ tptp.cons_l233104475ge_p_v @t407)) % 0.48/0.84 (define @t409 () (_ @t408 @t91)) % 0.48/0.84 (define @t410 () (_ @t85 @t409)) % 0.48/0.84 (define @t411 () (@var "P2" (-> tptp.list_message_p_v tptp.list_message_p_v Bool))) % 0.48/0.84 (define @t412 () (_ @t405 @t411)) % 0.48/0.84 (define @t413 () (forall (@list @t411) (_ @t412 tptp.nil_list_message_p_v))) % 0.48/0.84 (define @t414 () (@list @t405 @t404 @t89)) % 0.48/0.84 (define @t415 () (@var "A0" (-> tptp.message_p_v tptp.message_p_v Bool))) % 0.48/0.84 (define @t416 () (@var "P" (-> (-> tptp.message_p_v tptp.message_p_v Bool) tptp.list_message_p_v Bool))) % 0.48/0.84 (define @t417 () (_ (_ @t416 @t415) @t102)) % 0.48/0.84 (define @t418 () (@var "Y3" tptp.message_p_v)) % 0.48/0.84 (define @t419 () (_ tptp.cons_message_p_v @t418)) % 0.48/0.84 (define @t420 () (_ @t419 @t104)) % 0.48/0.84 (define @t421 () (_ @t98 @t420)) % 0.48/0.84 (define @t422 () (@var "P2" (-> tptp.message_p_v tptp.message_p_v Bool))) % 0.48/0.84 (define @t423 () (_ @t416 @t422)) % 0.48/0.84 (define @t424 () (forall (@list @t422) (_ @t423 tptp.nil_message_p_v))) % 0.48/0.84 (define @t425 () (@list @t416 @t415 @t102)) % 0.48/0.84 (define @t426 () (@var "A0" (-> tptp.config256849571t_unit tptp.config256849571t_unit Bool))) % 0.48/0.84 (define @t427 () (@var "P" (-> (-> tptp.config256849571t_unit tptp.config256849571t_unit Bool) tptp.list_c1059388851t_unit Bool))) % 0.48/0.84 (define @t428 () (_ (_ @t427 @t426) @t115)) % 0.48/0.84 (define @t429 () (@var "Y3" tptp.config256849571t_unit)) % 0.48/0.84 (define @t430 () (_ tptp.cons_c1162654829t_unit @t429)) % 0.48/0.84 (define @t431 () (_ @t430 @t117)) % 0.48/0.84 (define @t432 () (_ @t111 @t431)) % 0.48/0.84 (define @t433 () (@var "P2" (-> tptp.config256849571t_unit tptp.config256849571t_unit Bool))) % 0.48/0.84 (define @t434 () (_ @t427 @t433)) % 0.48/0.84 (define @t435 () (forall (@list @t433) (_ @t434 tptp.nil_co1338500125t_unit))) % 0.48/0.84 (define @t436 () (@list @t427 @t426 @t115)) % 0.48/0.84 (define @t437 () (@var "A0" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t438 () (= @t71 @t397)) % 0.48/0.84 (define @t439 () (@list @t71 @t397 @t78)) % 0.48/0.84 (define @t440 () (@var "A0" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t441 () (= @t84 @t407)) % 0.48/0.84 (define @t442 () (@list @t84 @t407 @t91)) % 0.48/0.84 (define @t443 () (@var "A0" tptp.list_message_p_v)) % 0.48/0.84 (define @t444 () (= @t97 @t418)) % 0.48/0.84 (define @t445 () (@list @t97 @t418 @t104)) % 0.48/0.84 (define @t446 () (_ @t381 tptp.nil_message_p_v)) % 0.48/0.84 (define @t447 () (@var "A0" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t448 () (= @t110 @t429)) % 0.48/0.84 (define @t449 () (@list @t110 @t429 @t117)) % 0.48/0.84 (define @t450 () (_ @t387 tptp.nil_co1338500125t_unit)) % 0.48/0.84 (define @t451 () (@var "Ys2" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t452 () (@var "Ys2" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t453 () (@var "Ys2" tptp.list_message_p_v)) % 0.48/0.84 (define @t454 () (@var "Ys2" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t455 () (@var "X" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t456 () (not (= @t455 tptp.nil_li307996205t_unit))) % 0.48/0.84 (define @t457 () (@list @t455)) % 0.48/0.84 (define @t458 () (@var "X" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t459 () (not (= @t458 tptp.nil_list_message_p_v))) % 0.48/0.84 (define @t460 () (@list @t458)) % 0.48/0.84 (define @t461 () (@var "Xss" tptp.list_l1584713811t_unit)) % 0.48/0.84 (define @t462 () (@var "X" tptp.list_l1584713811t_unit)) % 0.48/0.84 (define @t463 () (@var "Xss" tptp.list_l1341496881ge_p_v)) % 0.48/0.84 (define @t464 () (@var "X" tptp.list_l1341496881ge_p_v)) % 0.48/0.84 (define @t465 () (@var "Xss" tptp.list_l1619404459ge_p_v)) % 0.48/0.84 (define @t466 () (_ tptp.cons_l233104475ge_p_v tptp.nil_message_p_v)) % 0.48/0.84 (define @t467 () (@var "Xss" tptp.list_l611321411t_unit)) % 0.48/0.84 (define @t468 () (_ tptp.cons_l1083444861t_unit tptp.nil_co1338500125t_unit)) % 0.48/0.84 (define @t469 () (_ @t408 @t452)) % 0.48/0.84 (define @t470 () (_ @t153 @t92)) % 0.48/0.84 (define @t471 () (_ @t153 @t91)) % 0.48/0.84 (define @t472 () (_ (_ @t157 @t443) @t102)) % 0.48/0.84 (define @t473 () (_ @t419 @t453)) % 0.48/0.84 (define @t474 () (_ @t157 @t105)) % 0.48/0.84 (define @t475 () (_ @t474 @t473)) % 0.48/0.84 (define @t476 () (_ @t474 @t453)) % 0.48/0.84 (define @t477 () (_ @t157 @t104)) % 0.48/0.84 (define @t478 () (@list @t97 @t104 @t418 @t453)) % 0.48/0.84 (define @t479 () (forall (@list @t333) (_ @t158 @t333))) % 0.48/0.84 (define @t480 () (@list @t157 @t443 @t102)) % 0.48/0.84 (define @t481 () (_ (_ @t161 @t447) @t115)) % 0.48/0.84 (define @t482 () (_ @t430 @t454)) % 0.48/0.84 (define @t483 () (_ @t161 @t118)) % 0.48/0.84 (define @t484 () (_ @t483 @t482)) % 0.48/0.84 (define @t485 () (_ @t483 @t454)) % 0.48/0.84 (define @t486 () (_ @t161 @t117)) % 0.48/0.84 (define @t487 () (@list @t110 @t117 @t429 @t454)) % 0.48/0.84 (define @t488 () (forall (@list @t320) (_ @t162 @t320))) % 0.48/0.84 (define @t489 () (@list @t161 @t447 @t115)) % 0.48/0.84 (define @t490 () (@var "Zs" tptp.list_message_p_v)) % 0.48/0.84 (define @t491 () (_ @t419 @t490)) % 0.48/0.84 (define @t492 () (@var "Zs" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t493 () (_ @t430 @t492)) % 0.48/0.84 (define @t494 () (@list @t387 @t65)) % 0.48/0.84 (define @t495 () (_ (_ @t157 @t62) @t254)) % 0.48/0.84 (define @t496 () (=> (_ @t477 @t453) @t475)) % 0.48/0.84 (define @t497 () (@list @t418 @t453)) % 0.48/0.84 (define @t498 () (_ @t158 tptp.nil_message_p_v)) % 0.48/0.84 (define @t499 () (@var "P" (-> tptp.list_message_p_v tptp.list_c1059388851t_unit Bool))) % 0.48/0.84 (define @t500 () (_ (_ @t499 @t62) @t257)) % 0.48/0.84 (define @t501 () (_ @t499 @t105)) % 0.48/0.84 (define @t502 () (=> (_ (_ @t499 @t104) @t454) (_ @t501 @t482))) % 0.48/0.84 (define @t503 () (@list @t97 @t104 @t429 @t454)) % 0.48/0.84 (define @t504 () (_ @t499 tptp.nil_message_p_v)) % 0.48/0.84 (define @t505 () (@list @t429 @t454)) % 0.48/0.84 (define @t506 () (_ @t504 tptp.nil_co1338500125t_unit)) % 0.48/0.84 (define @t507 () (@var "P" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v Bool))) % 0.48/0.84 (define @t508 () (_ (_ @t507 @t65) @t254)) % 0.48/0.84 (define @t509 () (_ @t507 @t118)) % 0.48/0.84 (define @t510 () (=> (_ (_ @t507 @t117) @t453) (_ @t509 @t473))) % 0.48/0.84 (define @t511 () (@list @t110 @t117 @t418 @t453)) % 0.48/0.84 (define @t512 () (_ @t507 tptp.nil_co1338500125t_unit)) % 0.48/0.84 (define @t513 () (_ @t512 tptp.nil_message_p_v)) % 0.48/0.84 (define @t514 () (_ (_ @t161 @t65) @t257)) % 0.48/0.84 (define @t515 () (=> (_ @t486 @t454) @t484)) % 0.48/0.84 (define @t516 () (_ @t162 tptp.nil_co1338500125t_unit)) % 0.48/0.84 (define @t517 () (@var "Ys3" tptp.list_message_p_v)) % 0.48/0.84 (define @t518 () (@var "Y4" tptp.message_p_v)) % 0.48/0.84 (define @t519 () (@var "Ys3" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t520 () (@var "Y4" tptp.config256849571t_unit)) % 0.48/0.84 (define @t521 () (= @t65 (_ (_ tptp.cons_c1162654829t_unit @t520) @t519))) % 0.48/0.84 (define @t522 () (@list @t520 @t519)) % 0.48/0.84 (define @t523 () (@var "List" tptp.list_message_p_v)) % 0.48/0.84 (define @t524 () (@var "X23" tptp.list_message_p_v)) % 0.48/0.84 (define @t525 () (@var "X12" tptp.message_p_v)) % 0.48/0.84 (define @t526 () (@var "List" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t527 () (@var "X23" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t528 () (@var "X12" tptp.config256849571t_unit)) % 0.48/0.84 (define @t529 () (@var "X223" tptp.list_message_p_v)) % 0.48/0.84 (define @t530 () (@var "X212" tptp.message_p_v)) % 0.48/0.84 (define @t531 () (not (= @t252 tptp.nil_message_p_v))) % 0.48/0.84 (define @t532 () (@var "X223" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t533 () (@var "X212" tptp.config256849571t_unit)) % 0.48/0.84 (define @t534 () (@var "Ys4" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t535 () (@var "F2" (-> tptp.nat tptp.nat))) % 0.48/0.84 (define @t536 () (_ tptp.ord_less_nat (_ @t535 @t189))) % 0.48/0.84 (define @t537 () (forall @t165 (_ (_ tptp.ord_less_nat (_ @t535 @t36)) (_ @t535 @t37)))) % 0.48/0.84 (define @t538 () (@var "F2" (-> tptp.nat tptp.int))) % 0.48/0.84 (define @t539 () (_ @t538 @t189)) % 0.48/0.84 (define @t540 () (_ tptp.ord_less_int @t539)) % 0.48/0.84 (define @t541 () (_ @t538 @t37)) % 0.48/0.84 (define @t542 () (_ @t538 @t36)) % 0.48/0.84 (define @t543 () (forall @t165 (_ (_ tptp.ord_less_int @t542) @t541))) % 0.48/0.84 (define @t544 () (@var "N4" tptp.nat)) % 0.48/0.84 (define @t545 () (_ @t192 @t544)) % 0.48/0.84 (define @t546 () (_ @t538 @t544)) % 0.48/0.84 (define @t547 () (@list @t538 @t189 @t544)) % 0.48/0.84 (define @t548 () (@var "J3" tptp.nat)) % 0.48/0.84 (define @t549 () (= @t195 tptp.zero_zero_nat)) % 0.48/0.84 (define @t550 () (_ @t234 (_ tptp.suc @t298))) % 0.48/0.84 (define @t551 () (@var "M5" tptp.nat)) % 0.48/0.84 (define @t552 () (exists @t522 (and @t521 (= (_ tptp.size_s1406904903t_unit @t519) @t189)))) % 0.48/0.84 (define @t553 () (@var "Zs2" tptp.list_message_p_v)) % 0.48/0.84 (define @t554 () (@var "P" (-> tptp.list_message_p_v tptp.list_message_p_v tptp.list_message_p_v Bool))) % 0.48/0.84 (define @t555 () (@var "Z" tptp.message_p_v)) % 0.48/0.84 (define @t556 () (_ (_ tptp.cons_message_p_v @t555) @t490)) % 0.48/0.84 (define @t557 () (_ tptp.size_s1168481041ge_p_v @t490)) % 0.48/0.84 (define @t558 () (_ tptp.size_s1168481041ge_p_v @t453)) % 0.48/0.84 (define @t559 () (= @t558 @t557)) % 0.48/0.84 (define @t560 () (= @t260 @t558)) % 0.48/0.84 (define @t561 () (_ tptp.size_s1168481041ge_p_v @t553)) % 0.48/0.84 (define @t562 () (= @t255 @t561)) % 0.48/0.84 (define @t563 () (@var "Zs2" tptp.list_c1059388851t_unit)) % 0.48/0.84 (define @t564 () (@var "P" (-> tptp.list_message_p_v tptp.list_message_p_v tptp.list_c1059388851t_unit Bool))) % 0.48/0.84 (define @t565 () (@var "Z" tptp.config256849571t_unit)) % 0.48/0.84 (define @t566 () (_ (_ tptp.cons_c1162654829t_unit @t565) @t492)) % 0.48/0.84 (define @t567 () (_ tptp.size_s1406904903t_unit @t492)) % 0.48/0.84 (define @t568 () (= @t558 @t567)) % 0.48/0.84 (define @t569 () (_ tptp.size_s1406904903t_unit @t563)) % 0.48/0.84 (define @t570 () (= @t255 @t569)) % 0.48/0.84 (define @t571 () (@var "P" (-> tptp.list_message_p_v tptp.list_c1059388851t_unit tptp.list_message_p_v Bool))) % 0.48/0.84 (define @t572 () (_ tptp.size_s1406904903t_unit @t454)) % 0.48/0.84 (define @t573 () (= @t572 @t557)) % 0.48/0.84 (define @t574 () (= @t260 @t572)) % 0.48/0.84 (define @t575 () (= @t258 @t561)) % 0.48/0.84 (define @t576 () (= @t183 @t258)) % 0.48/0.84 (define @t577 () (@var "P" (-> tptp.list_message_p_v tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit Bool))) % 0.48/0.84 (define @t578 () (= @t572 @t567)) % 0.48/0.84 (define @t579 () (= @t258 @t569)) % 0.48/0.84 (define @t580 () (@var "P" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v Bool))) % 0.48/0.84 (define @t581 () (= @t262 @t558)) % 0.48/0.84 (define @t582 () (= @t187 @t255)) % 0.48/0.84 (define @t583 () (@var "P" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit Bool))) % 0.48/0.84 (define @t584 () (@var "P" (-> tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit tptp.list_message_p_v Bool))) % 0.48/0.84 (define @t585 () (= @t262 @t572)) % 0.48/0.84 (define @t586 () (@var "P" (-> tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit Bool))) % 0.48/0.84 (define @t587 () (@var "Xb" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) % 0.48/0.84 (define @t588 () (@var "Xa" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) % 0.48/0.84 (define @t589 () (_ (_ (_ tptp.fLPThe536531371_p_v_s @t28) @t588) @t587)) % 0.48/0.84 (define @t590 () (_ @t589 @t36)) % 0.48/0.84 (define @t591 () (_ (_ (_ tptp.fLPThe1519354920_p_v_s @t28) @t588) @t587)) % 0.48/0.84 (define @t592 () (_ @t591 @t36)) % 0.48/0.84 (define @t593 () (@var "Xc" tptp.nat)) % 0.48/0.84 (define @t594 () (= @t593 @t37)) % 0.48/0.84 (define @t595 () (_ @t29 tptp.nil_co1338500125t_unit)) % 0.48/0.84 (define @t596 () (= @t593 tptp.zero_zero_nat)) % 0.48/0.84 (define @t597 () (=> (= (_ @t591 @t593) @t253) (=> (=> @t596 (not (= @t253 @t595))) (not (forall @t165 (=> @t594 (not (= @t253 (_ (_ @t588 @t592) @t590))))))))) % 0.48/0.84 (define @t598 () (=> (= (_ @t589 @t593) @t252) (=> (=> @t596 @t531) (not (forall @t165 (=> @t594 (not (= @t252 (_ (_ @t587 @t592) @t590))))))))) % 0.48/0.84 (define @t599 () (_ (_ (_ tptp.fLPThe536531371_p_v_s @t167) @t169) @t168)) % 0.48/0.84 (define @t600 () (_ @t599 @t189)) % 0.48/0.84 (define @t601 () (_ @t170 @t189)) % 0.48/0.84 (define @t602 () (= (_ @t599 @t194) (_ (_ @t168 @t601) @t600))) % 0.48/0.84 (define @t603 () (@list @t167 @t169 @t168 @t189)) % 0.48/0.84 (define @t604 () (= (_ @t170 @t194) (_ (_ @t169 @t601) @t600))) % 0.48/0.84 (define @t605 () (= (_ @t599 tptp.zero_zero_nat) tptp.nil_message_p_v)) % 0.48/0.84 (define @t606 () (@list @t231)) % 0.48/0.84 (define @t607 () (@var "X" tptp.int)) % 0.48/0.84 (define @t608 () (@list @t607)) % 0.48/0.84 (define @t609 () (_ (_ tptp.n_list1987762709t_unit @t189) tptp.nil_co1338500125t_unit)) % 0.48/0.84 (define @t610 () (_ @t468 tptp.nil_li307996205t_unit)) % 0.48/0.84 (define @t611 () (_ (_ tptp.n_lists_message_p_v @t189) tptp.nil_message_p_v)) % 0.48/0.84 (define @t612 () (_ @t466 tptp.nil_list_message_p_v)) % 0.48/0.84 (define @t613 () (@var "Start" (-> tptp.p tptp.s))) % 0.48/0.84 (define @t614 () (@var "Sends" (-> tptp.p tptp.s tptp.messageValue_v tptp.message_p_v tptp.nat))) % 0.48/0.84 (define @t615 () (@var "Trans" (-> tptp.p tptp.s tptp.messageValue_v tptp.s))) % 0.48/0.84 (define @t616 () (_ (_ (_ tptp.fLPThe9398366_p_s_v @t615) @t614) @t613)) % 0.48/0.84 (define @t617 () (@list @t615 @t614 @t613 @t167 @t169 @t168 @t189)) % 0.48/0.84 (define @t618 () (@list @t615 @t614 @t613 @t167 @t169 @t168)) % 0.48/0.84 (define @t619 () (_ tptp.ord_less_int tptp.zero_zero_int)) % 0.48/0.84 (define @t620 () (_ tptp.gen_le193291088t_unit @t189)) % 0.48/0.84 (define @t621 () (_ @t25 tptp.nil_message_p_v)) % 0.48/0.84 (define @t622 () (_ (_ tptp.nths_message_p_v @t621) @t249)) % 0.48/0.84 (define @t623 () (_ (_ tptp.member_nat tptp.zero_zero_nat) @t249)) % 0.48/0.84 (define @t624 () (not @t623)) % 0.48/0.84 (define @t625 () (_ (_ tptp.nths_c890550943t_unit @t595) @t249)) % 0.48/0.84 (define @t626 () (_ tptp.semiri1382578993at_nat @t189)) % 0.48/0.84 (define @t627 () (_ tptp.semiri2019852685at_int @t189)) % 0.48/0.84 (define @t628 () (_ tptp.semiri2019852685at_int @t195)) % 0.48/0.84 (define @t629 () (= tptp.zero_zero_nat @t189)) % 0.48/0.84 (define @t630 () (_ tptp.semiri1382578993at_nat @t195)) % 0.48/0.84 (define @t631 () (_ tptp.ord_less_nat @t630)) % 0.48/0.84 (define @t632 () (_ @t631 @t626)) % 0.48/0.84 (define @t633 () (_ tptp.ord_less_int @t628)) % 0.48/0.84 (define @t634 () (_ @t633 @t627)) % 0.48/0.84 (define @t635 () (_ tptp.semiri2019852685at_int @t194)) % 0.48/0.84 (define @t636 () (@var "I4" tptp.set_nat)) % 0.48/0.84 (define @t637 () (not @t280)) % 0.48/0.84 (define @t638 () (_ tptp.semiri2019852685at_int @t36)) % 0.48/0.84 (define @t639 () (@var "K" tptp.int)) % 0.48/0.84 (define @t640 () (= @t639 @t638)) % 0.48/0.84 (define @t641 () (forall @t165 (=> @t640 @t637))) % 0.48/0.84 (define @t642 () (_ @t619 @t639)) % 0.48/0.84 (define @t643 () (@list @t639)) % 0.48/0.84 (define @t644 () (@var "P" (-> tptp.config256849571t_unit Bool))) % 0.48/0.84 (define @t645 () (@var "P" (-> tptp.message_p_v Bool))) % 0.48/0.84 (define @t646 () (_ tptp.uminus_uminus_int @t638)) % 0.48/0.84 (define @t647 () (not (forall @t165 (=> (= @t639 @t646) @t637)))) % 0.48/0.84 (define @t648 () (@var "B2" tptp.int)) % 0.48/0.84 (define @t649 () (@var "A" tptp.int)) % 0.48/0.84 (define @t650 () (_ tptp.uminus_uminus_int @t648)) % 0.48/0.84 (define @t651 () (_ tptp.uminus_uminus_int @t649)) % 0.48/0.84 (define @t652 () (@list @t649 @t648)) % 0.48/0.84 (define @t653 () (@list @t649)) % 0.48/0.84 (define @t654 () (= @t649 tptp.zero_zero_int)) % 0.48/0.84 (define @t655 () (_ tptp.ord_less_int @t649)) % 0.48/0.84 (define @t656 () (_ @t655 @t648)) % 0.48/0.84 (define @t657 () (_ tptp.ord_less_int @t650)) % 0.48/0.84 (define @t658 () (_ @t657 @t651)) % 0.48/0.84 (define @t659 () (@list @t648 @t649)) % 0.48/0.84 (define @t660 () (_ @t655 tptp.zero_zero_int)) % 0.48/0.84 (define @t661 () (_ @t619 @t649)) % 0.48/0.84 (define @t662 () (_ tptp.ord_less_int @t651)) % 0.48/0.84 (define @t663 () (_ tptp.uminus_uminus_int @t627)) % 0.48/0.84 (define @t664 () (_ tptp.ord_less_int (_ tptp.uminus_uminus_int @t635))) % 0.48/0.84 (define @t665 () (_ tptp.uminus_uminus_int (_ tptp.semiri2019852685at_int @t37))) % 0.48/0.84 (define @t666 () (@var "Z2" tptp.int)) % 0.48/0.84 (define @t667 () (@list @t666)) % 0.48/0.84 (define @t668 () (@var "P" (-> tptp.int Bool))) % 0.48/0.84 (define @t669 () (@var "M" tptp.int)) % 0.48/0.84 (define @t670 () (_ @t619 @t666)) % 0.48/0.84 (define @t671 () (_ tptp.nat2 @t666)) % 0.48/0.84 (define @t672 () (_ tptp.ring_1_of_int_int @t666)) % 0.48/0.84 (define @t673 () (_ @t619 @t672)) % 0.48/0.84 (define @t674 () (= @t666 tptp.zero_zero_int)) % 0.48/0.84 (define @t675 () (@var "W" tptp.int)) % 0.48/0.84 (define @t676 () (_ tptp.ord_less_int @t675)) % 0.48/0.84 (define @t677 () (_ @t676 @t666)) % 0.48/0.84 (define @t678 () (@list @t675 @t666)) % 0.48/0.84 (define @t679 () (_ tptp.ord_less_nat (_ tptp.nat2 @t675))) % 0.48/0.84 (define @t680 () (_ @t679 @t671)) % 0.48/0.84 (define @t681 () (_ tptp.ord_less_int @t666)) % 0.48/0.84 (define @t682 () (_ tptp.ord_less_int @t672)) % 0.48/0.84 (define @t683 () (_ tptp.ord_less_int @t627)) % 0.48/0.84 (define @t684 () (@var "I" tptp.int)) % 0.48/0.84 (define @t685 () (@var "N5" tptp.nat)) % 0.48/0.84 (define @t686 () (_ tptp.nat2 @t684)) % 0.48/0.84 (define @t687 () (_ tptp.ord_less_int tptp.one_one_int)) % 0.48/0.84 (define @t688 () (_ @t687 @t666)) % 0.48/0.84 (define @t689 () (_ tptp.ord_less_eq_int tptp.zero_zero_int)) % 0.48/0.84 (define @t690 () (_ tptp.ord_less_eq_nat @t189)) % 0.48/0.84 (define @t691 () (_ tptp.ord_less_eq_int @t649)) % 0.48/0.84 (define @t692 () (_ tptp.ord_less_eq_int @t628)) % 0.48/0.84 (define @t693 () (= @t189 tptp.one_one_nat)) % 0.48/0.84 (define @t694 () (_ @t691 tptp.zero_zero_int)) % 0.48/0.84 (define @t695 () (_ @t689 @t649)) % 0.48/0.84 (define @t696 () (_ tptp.ord_less_eq_int @t651)) % 0.48/0.84 (define @t697 () (_ (_ tptp.ord_less_eq_int @t666) tptp.zero_zero_int)) % 0.48/0.84 (define @t698 () (_ @t689 @t666)) % 0.48/0.84 (define @t699 () (_ @t689 @t672)) % 0.48/0.84 (define @t700 () (@var "B3" tptp.nat)) % 0.48/0.84 (define @t701 () (@var "A11" tptp.nat)) % 0.48/0.84 (define @t702 () (@var "B3" tptp.int)) % 0.48/0.84 (define @t703 () (@var "A11" tptp.int)) % 0.48/0.84 (define @t704 () (_ @t690 @t544)) % 0.48/0.84 (define @t705 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 0.48/0.84 (define @t706 () (_ tptp.uminus_uminus_int tptp.one_one_int)) % 0.48/0.84 (define @t707 () (@var "B" tptp.nat)) % 0.48/0.84 (define @t708 () (_ tptp.semiri2019852685at_int @t707)) % 0.48/0.84 (define @t709 () (@var "A10" tptp.nat)) % 0.48/0.84 (define @t710 () (lambda (@list @t709 @t707) (_ (_ tptp.ord_less_int (_ tptp.semiri2019852685at_int @t709)) @t708))) % 0.48/0.84 (define @t711 () (_ tptp.ord_less_int (_ tptp.semiri2019852685at_int tptp.m))) % 0.48/0.84 (define @t712 () (_ @t711 (_ tptp.semiri2019852685at_int tptp.na))) % 0.48/0.84 (define @t713 () (lambda (@list @t707) (_ @t711 @t708))) % 0.48/0.84 (define @t714 () (_ @t710 tptp.m)) % 0.48/0.84 (assume @p1 @t2) % 0.48/0.84 (assume @p2 (_ @t1 tptp.n)) % 0.48/0.84 (assume @p3 @t4) % 0.48/0.84 (assume @p4 (or (= tptp.m tptp.na) @t2)) % 0.48/0.84 (assume @p5 (_ @t1 (_ tptp.suc tptp.na))) % 0.48/0.84 (assume @p6 (forall (@list @t6 @t8 @t5) (=> @t9 (=> (_ (_ tptp.prefix47729710ge_p_v @t8) @t5) (_ @t7 @t5))))) % 0.48/0.84 (assume @p7 (forall (@list @t11 @t13 @t10) (=> @t14 (=> (_ (_ tptp.prefix1615116500t_unit @t13) @t10) (_ @t12 @t10))))) % 0.48/0.84 (assume @p8 (= (_ tptp.fe tptp.zero_zero_nat) (_ (_ tptp.cons_c1162654829t_unit tptp.cfg) tptp.nil_co1338500125t_unit))) % 0.48/0.84 (assume @p9 (forall (@list @t18 @t15 @t16) (=> (_ (_ tptp.prefix747844452t_unit @t18) @t15) (_ (_ tptp.prefix747844452t_unit (_ @t17 @t18)) (_ @t17 @t15))))) % 0.48/0.84 (assume @p10 (forall (@list @t22 @t19 @t20) (=> (_ (_ tptp.prefix1465223476ge_p_v @t22) @t19) (_ (_ tptp.prefix1465223476ge_p_v (_ @t21 @t22)) (_ @t21 @t19))))) % 0.48/0.84 (assume @p11 (forall (@list @t26 @t23 @t24) (=> (_ (_ tptp.prefix47729710ge_p_v @t26) @t23) (_ (_ tptp.prefix47729710ge_p_v (_ @t25 @t26)) (_ @t25 @t23))))) % 0.48/0.84 (assume @p12 (forall (@list @t30 @t27 @t28) (=> (_ (_ tptp.prefix1615116500t_unit @t30) @t27) (_ (_ tptp.prefix1615116500t_unit (_ @t29 @t30)) (_ @t29 @t27))))) % 0.48/0.84 (assume @p13 (forall (@list @t6 @t8) (=> @t9 (_ (_ tptp.ord_less_nat (_ tptp.size_s1168481041ge_p_v @t6)) (_ tptp.size_s1168481041ge_p_v @t8))))) % 0.48/0.84 (assume @p14 (forall (@list @t11 @t13) (=> @t14 (_ (_ tptp.ord_less_nat (_ tptp.size_s1406904903t_unit @t11)) (_ tptp.size_s1406904903t_unit @t13))))) % 0.48/0.84 (assume @p15 (forall (@list @t43 @t35 @t34 @t33 @t32 @t31) (=> @t51 (=> @t50 (=> @t49 (=> @t47 (_ (_ (_ (_ @t35 @t34) @t33) @t32) @t31))))))) % 0.48/0.84 (assume @p16 (forall (@list @t43 @t35 @t55 @t54 @t53 @t52) (=> @t51 (=> @t50 (=> @t49 (=> @t47 (_ (_ (_ (_ @t43 @t55) @t54) @t53) @t52))))))) % 0.48/0.84 (assume @p17 (forall @t58 (_ (_ tptp.prefix747844452t_unit tptp.nil_li307996205t_unit) @t57))) % 0.48/0.84 (assume @p18 (forall @t61 (_ (_ tptp.prefix1465223476ge_p_v tptp.nil_list_message_p_v) @t60))) % 0.48/0.84 (assume @p19 (forall @t64 (_ (_ tptp.prefix47729710ge_p_v tptp.nil_message_p_v) @t63))) % 0.48/0.84 (assume @p20 (forall @t67 (_ (_ tptp.prefix1615116500t_unit tptp.nil_co1338500125t_unit) @t66))) % 0.48/0.84 (assume @p21 (forall (@list @t76 @t74) (=> (_ (_ tptp.prefix747844452t_unit @t76) @t74) (=> (=> (= @t76 tptp.nil_li307996205t_unit) (forall @t80 (not (= @t74 @t79)))) (not (forall @t77 (=> (= @t76 @t75) (=> (= @t74 @t73) (not @t70))))))))) % 0.48/0.84 (assume @p22 (forall (@list @t89 @t87) (=> (_ (_ tptp.prefix1465223476ge_p_v @t89) @t87) (=> (=> (= @t89 tptp.nil_list_message_p_v) (forall @t93 (not (= @t87 @t92)))) (not (forall @t90 (=> (= @t89 @t88) (=> (= @t87 @t86) (not @t83))))))))) % 0.48/0.84 (assume @p23 (forall (@list @t102 @t100) (=> (_ (_ tptp.prefix47729710ge_p_v @t102) @t100) (=> (=> (= @t102 tptp.nil_message_p_v) (forall @t106 (not (= @t100 @t105)))) (not (forall @t103 (=> (= @t102 @t101) (=> (= @t100 @t99) (not @t96))))))))) % 0.48/0.84 (assume @p24 (forall (@list @t115 @t113) (=> (_ (_ tptp.prefix1615116500t_unit @t115) @t113) (=> (=> (= @t115 tptp.nil_co1338500125t_unit) (forall @t119 (not (= @t113 @t118)))) (not (forall @t116 (=> (= @t115 @t114) (=> (= @t113 @t112) (not @t109))))))))) % 0.48/0.84 (assume @p25 (= tptp.prefix747844452t_unit (lambda (@list @t125 @t124) (or (exists (@list @t122 @t126) (and (= @t125 tptp.nil_li307996205t_unit) (= @t124 (_ @t123 @t126)))) (exists (@list @t121 @t120 @t122) (and (= @t125 (_ @t123 @t121)) (= @t124 (_ @t123 @t120)) (_ (_ tptp.prefix747844452t_unit @t121) @t120))))))) % 0.48/0.84 (assume @p26 (= tptp.prefix1465223476ge_p_v (lambda (@list @t132 @t131) (or (exists (@list @t129 @t133) (and (= @t132 tptp.nil_list_message_p_v) (= @t131 (_ @t130 @t133)))) (exists (@list @t128 @t127 @t129) (and (= @t132 (_ @t130 @t128)) (= @t131 (_ @t130 @t127)) (_ (_ tptp.prefix1465223476ge_p_v @t128) @t127))))))) % 0.48/0.84 (assume @p27 (= tptp.prefix47729710ge_p_v (lambda (@list @t139 @t138) (or (exists (@list @t136 @t140) (and (= @t139 tptp.nil_message_p_v) (= @t138 (_ @t137 @t140)))) (exists (@list @t135 @t134 @t136) (and (= @t139 (_ @t137 @t135)) (= @t138 (_ @t137 @t134)) (_ (_ tptp.prefix47729710ge_p_v @t135) @t134))))))) % 0.48/0.84 (assume @p28 (= tptp.prefix1615116500t_unit (lambda (@list @t146 @t145) (or (exists (@list @t143 @t147) (and (= @t146 tptp.nil_co1338500125t_unit) (= @t145 (_ @t144 @t147)))) (exists (@list @t142 @t141 @t143) (and (= @t146 (_ @t144 @t142)) (= @t145 (_ @t144 @t141)) (_ (_ tptp.prefix1615116500t_unit @t142) @t141))))))) % 0.48/0.84 (assume @p29 (forall (@list @t149 @t148 @t150) (=> (_ (_ tptp.prefix747844452t_unit @t149) @t148) (=> (forall @t80 (_ (_ @t150 tptp.nil_li307996205t_unit) @t79)) (=> (forall @t77 (=> @t70 (=> (_ (_ @t150 @t69) @t68) (_ (_ @t150 @t75) @t73)))) (_ (_ @t150 @t149) @t148)))))) % 0.48/0.84 (assume @p30 (forall (@list @t152 @t151 @t153) (=> (_ (_ tptp.prefix1465223476ge_p_v @t152) @t151) (=> (forall @t93 (_ @t154 @t92)) (=> (forall @t90 (=> @t83 (=> (_ (_ @t153 @t82) @t81) (_ (_ @t153 @t88) @t86)))) (_ (_ @t153 @t152) @t151)))))) % 0.48/0.84 (assume @p31 (forall (@list @t156 @t155 @t157) (=> (_ (_ tptp.prefix47729710ge_p_v @t156) @t155) (=> (forall @t106 (_ @t158 @t105)) (=> (forall @t103 (=> @t96 (=> (_ (_ @t157 @t95) @t94) (_ (_ @t157 @t101) @t99)))) (_ (_ @t157 @t156) @t155)))))) % 0.48/0.84 (assume @p32 (forall (@list @t160 @t159 @t161) (=> (_ (_ tptp.prefix1615116500t_unit @t160) @t159) (=> (forall @t119 (_ @t162 @t118)) (=> (forall @t116 (=> @t109 (=> (_ (_ @t161 @t108) @t107) (_ (_ @t161 @t114) @t112)))) (_ (_ @t161 @t160) @t159)))))) % 0.48/0.84 (assume @p33 (forall (@list @t164 @t163) (=> (_ @t166 @t164) (=> (_ @t163 tptp.zero_zero_nat) (=> (not (_ @t163 @t164)) (exists @t165 (and (_ (_ tptp.ord_less_nat @t36) @t164) (_ @t163 @t36) (not (_ @t163 @t37))))))))) % 0.48/0.84 (assume @p34 (forall @t172 @t171)) % 0.48/0.84 (assume @p35 (forall @t176 (= (_ @t166 @t175) @t174))) % 0.48/0.84 (assume @p36 (forall @t180 (= (_ @t166 @t179) @t178))) % 0.48/0.84 (assume @p37 (forall @t184 (= (_ @t166 @t183) @t182))) % 0.48/0.84 (assume @p38 (forall @t188 (= (_ @t166 @t187) @t186))) % 0.48/0.84 (assume @p39 (forall @t176 (= (= @t175 tptp.zero_zero_nat) @t173))) % 0.48/0.84 (assume @p40 (forall @t180 (= (= @t179 tptp.zero_zero_nat) @t177))) % 0.48/0.84 (assume @p41 (forall @t184 (= (= @t183 tptp.zero_zero_nat) @t181))) % 0.48/0.84 (assume @p42 (forall @t188 (= (= @t187 tptp.zero_zero_nat) @t185))) % 0.48/0.84 (assume @p43 (forall @t193 (= (_ @t192 @t191) @t190))) % 0.48/0.84 (assume @p44 (forall @t193 (_ @t166 @t194))) % 0.48/0.84 (assume @p45 (forall @t193 (_ @t192 @t194))) % 0.48/0.84 (assume @p46 (forall @t201 (=> @t200 @t198))) % 0.48/0.84 (assume @p47 (forall @t201 (= @t198 @t200))) % 0.48/0.84 (assume @p48 (forall @t193 (= @t203 @t202))) % 0.48/0.84 (assume @p49 (forall @t193 (not (_ @t192 tptp.zero_zero_nat)))) % 0.48/0.84 (assume @p50 (forall @t205 (= (not (= @t204 tptp.zero_zero_nat)) (_ @t166 @t204)))) % 0.48/0.84 (assume @p51 (forall (@list @t209 @t207 @t208 @t206) (= (= @t210 (_ (_ tptp.cons_message_p_v @t208) @t206)) (and (= @t209 @t208) (= @t207 @t206))))) % 0.48/0.84 (assume @p52 (forall (@list @t214 @t212 @t213 @t211) (= (= (_ (_ tptp.cons_l1083444861t_unit @t214) @t212) (_ (_ tptp.cons_l1083444861t_unit @t213) @t211)) (and (= @t214 @t213) (= @t212 @t211))))) % 0.48/0.84 (assume @p53 (forall (@list @t218 @t216 @t217 @t215) (= (= (_ (_ tptp.cons_l233104475ge_p_v @t218) @t216) (_ (_ tptp.cons_l233104475ge_p_v @t217) @t215)) (and (= @t218 @t217) (= @t216 @t215))))) % 0.48/0.84 (assume @p54 (forall (@list @t222 @t220 @t221 @t219) (= (= @t223 (_ (_ tptp.cons_c1162654829t_unit @t221) @t219)) (and (= @t222 @t221) (= @t220 @t219))))) % 0.48/0.84 (assume @p55 (forall (@list @t225 @t224) (= (= (_ tptp.suc @t225) @t226) (= @t225 @t224)))) % 0.48/0.84 (assume @p56 (forall (@list @t228 @t227) (= (= @t229 (_ tptp.suc @t227)) (= @t228 @t227)))) % 0.48/0.84 (assume @p57 (forall @t64 (not (= @t63 @t62)))) % 0.48/0.84 (assume @p58 (forall @t58 (not (= @t57 @t56)))) % 0.48/0.84 (assume @p59 (forall @t61 (not (= @t60 @t59)))) % 0.48/0.84 (assume @p60 (forall @t67 (not (= @t66 @t65)))) % 0.48/0.84 (assume @p61 (forall @t193 (not (= @t189 @t194)))) % 0.48/0.84 (assume @p62 (forall @t233 (=> (= (_ tptp.suc @t231) (_ tptp.suc @t230)) @t232))) % 0.48/0.84 (assume @p63 (forall @t233 (=> (not @t232) (=> (not (_ (_ tptp.ord_less_nat @t231) @t230)) (_ (_ tptp.ord_less_nat @t230) @t231))))) % 0.48/0.84 (assume @p64 (forall @t242 (=> (forall @t165 @t241) @t235))) % 0.48/0.84 (assume @p65 (forall @t242 (=> (forall @t165 (=> (forall @t239 (=> @t238 @t237)) @t240)) @t235))) % 0.48/0.84 (assume @p66 (forall @t193 (not (_ @t192 @t189)))) % 0.48/0.84 (assume @p67 (forall (@list @t244 @t243) (=> (_ (_ tptp.ord_less_nat @t244) @t243) (not (= @t244 @t243))))) % 0.48/0.84 (assume @p68 (forall @t248 (=> @t247 @t246))) % 0.48/0.84 (assume @p69 (forall (@list @t204 @t234) (= (_ (_ tptp.member_nat @t204) (_ tptp.collect_nat @t234)) (_ @t234 @t204)))) % 0.48/0.84 (assume @p70 (forall @t251 (= (_ tptp.collect_nat (lambda (@list @t250) (_ (_ tptp.member_nat @t250) @t249))) @t249))) % 0.48/0.84 (assume @p71 (forall @t201 (= @t246 (or @t200 @t247)))) % 0.48/0.84 (assume @p72 (forall (@list @t20 @t252) (=> (not (= (_ tptp.size_s1168481041ge_p_v @t20) (_ tptp.size_s1168481041ge_p_v @t252))) (not (= @t20 @t252))))) % 0.48/0.84 (assume @p73 (forall (@list @t16 @t253) (=> (not (= (_ tptp.size_s1406904903t_unit @t16) (_ tptp.size_s1406904903t_unit @t253))) (not (= @t16 @t253))))) % 0.48/0.84 (assume @p74 (forall (@list @t62 @t254) (=> (not @t256) (not (= @t62 @t254))))) % 0.48/0.84 (assume @p75 (forall (@list @t65 @t257) (=> (not @t259) (not (= @t65 @t257))))) % 0.48/0.84 (assume @p76 (forall @t193 (exists @t261 (= @t260 @t189)))) % 0.48/0.84 (assume @p77 (forall @t193 (exists @t263 (= @t262 @t189)))) % 0.48/0.84 (assume @p78 (forall @t193 (=> @t203 @t265))) % 0.48/0.84 (assume @p79 (forall (@list @t234 @t225) (=> @t269 (=> (forall @t268 (=> (_ @t234 @t266) (_ @t234 @t267))) (_ @t234 @t225))))) % 0.48/0.84 (assume @p80 (forall (@list @t230) (=> (not (= @t230 tptp.zero_zero_nat)) (not (forall @t268 (not (= @t230 @t267))))))) % 0.48/0.84 (assume @p81 (forall @t270 (not (= tptp.zero_zero_nat @t196)))) % 0.48/0.84 (assume @p82 (forall @t270 (not (= @t196 tptp.zero_zero_nat)))) % 0.48/0.84 (assume @p83 (forall (@list @t234 @t272) (=> (_ @t234 @t272) (=> (forall @t165 (=> @t271 @t240)) @t269)))) % 0.48/0.84 (assume @p84 (forall (@list @t273 @t195 @t189) (=> (forall (@list @t276) (_ @t277 tptp.zero_zero_nat)) (=> (forall (@list @t274) (_ (_ @t273 tptp.zero_zero_nat) @t275)) (=> (forall (@list @t276 @t274) (=> (_ @t277 @t274) (_ (_ @t273 (_ tptp.suc @t276)) @t275))) (_ (_ @t273 @t195) @t189)))))) % 0.48/0.84 (assume @p85 (forall @t242 (=> @t269 (=> (forall @t165 (=> @t240 @t271)) @t235)))) % 0.48/0.84 (assume @p86 (forall (@list @t225 @t228) (=> (= @t225 @t229) (not (= @t225 tptp.zero_zero_nat))))) % 0.48/0.84 (assume @p87 (forall @t278 (not (= tptp.zero_zero_nat @t226)))) % 0.48/0.84 (assume @p88 (forall @t278 (not (= @t226 tptp.zero_zero_nat)))) % 0.48/0.84 (assume @p89 (forall (@list @t228) (not (= tptp.zero_zero_nat @t229)))) % 0.48/0.84 (assume @p90 (forall @t205 (not (_ @t279 tptp.zero_zero_nat)))) % 0.48/0.84 (assume @p91 (forall @t242 (=> @t269 (=> (forall @t165 (=> @t280 @t241)) @t235)))) % 0.48/0.84 (assume @p92 (forall @t201 (=> @t200 @t203))) % 0.48/0.84 (assume @p93 (forall @t193 (= (not @t202) @t190))) % 0.48/0.84 (assume @p94 (forall @t193 (=> @t203 @t202))) % 0.48/0.84 (assume @p95 (forall @t248 (=> @t282 (= @t281 (= @t189 @t195))))) % 0.48/0.84 (assume @p96 (forall (@list @t283 @t287 @t234) (=> @t291 (=> (forall @t289 (=> (= @t287 @t286) @t285)) (=> (forall @t289 (=> (_ @t288 @t287) (=> (_ @t234 @t286) @t285))) (_ @t234 @t283)))))) % 0.48/0.84 (assume @p97 (forall (@list @t283 @t287 @t273) (=> @t291 (=> (forall @t289 (_ @t293 @t286)) (=> (forall (@list @t284 @t294 @t292) (=> (_ @t288 @t294) (=> (_ (_ tptp.ord_less_nat @t294) @t292) (=> (_ @t293 @t294) (=> (_ (_ @t273 @t294) @t292) (_ @t293 @t292)))))) (_ (_ @t273 @t283) @t287)))))) % 0.48/0.84 (assume @p98 (forall (@list @t283 @t287 @t272) (=> @t291 (=> (_ (_ tptp.ord_less_nat @t287) @t272) @t296)))) % 0.48/0.84 (assume @p99 (forall @t201 (=> @t198 @t200))) % 0.48/0.84 (assume @p100 (forall @t248 (=> @t282 (=> @t281 @t245)))) % 0.48/0.84 (assume @p101 (forall @t248 (= (_ (_ tptp.ord_less_nat @t194) @t195) (exists (@list @t297) (and (= @t195 (_ tptp.suc @t297)) (_ @t192 @t297)))))) % 0.48/0.84 (assume @p102 (forall @t305 (= @t304 (and @t235 (forall @t302 (=> @t301 @t299)))))) % 0.48/0.84 (assume @p103 (forall @t201 (= @t306 @t281))) % 0.48/0.84 (assume @p104 (forall @t201 (= @t307 (or @t200 @t245)))) % 0.48/0.84 (assume @p105 (forall @t305 (= @t308 (or @t235 (exists @t302 (and @t301 @t299)))))) % 0.48/0.84 (assume @p106 (forall @t201 (=> @t200 @t307))) % 0.48/0.84 (assume @p107 (forall @t201 (=> @t307 (=> @t306 @t245)))) % 0.48/0.84 (assume @p108 (forall @t201 (=> @t200 (=> (not (= @t196 @t189)) @t309)))) % 0.48/0.84 (assume @p109 (forall @t311 (=> @t296 @t310))) % 0.48/0.84 (assume @p110 (forall @t201 (=> @t309 @t200))) % 0.48/0.84 (assume @p111 (forall @t311 (=> (_ @t290 @t272) (=> (not (= @t272 @t295)) @t310)))) % 0.48/0.84 (assume @p112 (forall (@list @t313 @t312 @t102 @t113) (=> (forall (@list @t318 @t320) (_ (_ @t319 tptp.nil_message_p_v) @t320)) (=> (forall (@list @t318 @t316 @t315 @t314) (=> (_ (_ @t319 @t315) (_ (_ tptp.cons_c1162654829t_unit (_ @t318 @t316)) @t314)) (_ (_ @t319 @t317) @t314))) (_ (_ (_ @t313 @t312) @t102) @t113))))) % 0.48/0.84 (assume @p113 (forall (@list @t322 @t321 @t115 @t113) (=> (forall (@list @t326 @t320) (_ (_ @t327 tptp.nil_co1338500125t_unit) @t320)) (=> (forall (@list @t326 @t324 @t323 @t314) (=> (_ (_ @t327 @t323) (_ (_ tptp.cons_c1162654829t_unit (_ @t326 @t324)) @t314)) (_ (_ @t327 @t325) @t314))) (_ (_ (_ @t322 @t321) @t115) @t113))))) % 0.48/0.84 (assume @p114 (forall (@list @t329 @t328 @t102 @t100) (=> (forall (@list @t331 @t333) (_ (_ @t332 tptp.nil_message_p_v) @t333)) (=> (forall (@list @t331 @t316 @t315 @t330) (=> (_ (_ @t332 @t315) (_ (_ tptp.cons_message_p_v (_ @t331 @t316)) @t330)) (_ (_ @t332 @t317) @t330))) (_ (_ (_ @t329 @t328) @t102) @t100))))) % 0.48/0.84 (assume @p115 (forall (@list @t335 @t334 @t89 @t100) (=> (forall (@list @t339 @t333) (_ (_ @t340 tptp.nil_list_message_p_v) @t333)) (=> (forall (@list @t339 @t337 @t336 @t330) (=> (_ (_ @t340 @t336) (_ (_ tptp.cons_message_p_v (_ @t339 @t337)) @t330)) (_ (_ @t340 @t338) @t330))) (_ (_ (_ @t335 @t334) @t89) @t100))))) % 0.48/0.84 (assume @p116 (forall (@list @t342 @t341 @t102 @t87) (=> (forall (@list @t344 @t346) (_ (_ @t345 tptp.nil_message_p_v) @t346)) (=> (forall (@list @t344 @t316 @t315 @t343) (=> (_ (_ @t345 @t315) (_ (_ tptp.cons_l233104475ge_p_v (_ @t344 @t316)) @t343)) (_ (_ @t345 @t317) @t343))) (_ (_ (_ @t342 @t341) @t102) @t87))))) % 0.48/0.84 (assume @p117 (forall (@list @t348 @t347 @t115 @t100) (=> (forall (@list @t349 @t333) (_ (_ @t350 tptp.nil_co1338500125t_unit) @t333)) (=> (forall (@list @t349 @t324 @t323 @t330) (=> (_ (_ @t350 @t323) (_ (_ tptp.cons_message_p_v (_ @t349 @t324)) @t330)) (_ (_ @t350 @t325) @t330))) (_ (_ (_ @t348 @t347) @t115) @t100))))) % 0.48/0.84 (assume @p118 (forall (@list @t352 @t351 @t89 @t87) (=> (forall (@list @t353 @t346) (_ (_ @t354 tptp.nil_list_message_p_v) @t346)) (=> (forall (@list @t353 @t337 @t336 @t343) (=> (_ (_ @t354 @t336) (_ (_ tptp.cons_l233104475ge_p_v (_ @t353 @t337)) @t343)) (_ (_ @t354 @t338) @t343))) (_ (_ (_ @t352 @t351) @t89) @t87))))) % 0.48/0.84 (assume @p119 (forall (@list @t356 @t355 @t89 @t113) (=> (forall (@list @t357 @t320) (_ (_ @t358 tptp.nil_list_message_p_v) @t320)) (=> (forall (@list @t357 @t337 @t336 @t314) (=> (_ (_ @t358 @t336) (_ (_ tptp.cons_c1162654829t_unit (_ @t357 @t337)) @t314)) (_ (_ @t358 @t338) @t314))) (_ (_ (_ @t356 @t355) @t89) @t113))))) % 0.48/0.84 (assume @p120 (forall (@list @t360 @t359 @t76 @t100) (=> (forall (@list @t363 @t333) (_ (_ @t364 tptp.nil_li307996205t_unit) @t333)) (=> (forall (@list @t363 @t362 @t361 @t330) (=> (_ (_ @t364 @t361) (_ (_ tptp.cons_message_p_v (_ @t363 @t362)) @t330)) (_ (_ @t364 (_ (_ tptp.cons_l1083444861t_unit @t362) @t361)) @t330))) (_ (_ (_ @t360 @t359) @t76) @t100))))) % 0.48/0.84 (assume @p121 (forall (@list @t366 @t365 @t102 @t74) (=> (forall (@list @t368 @t370) (_ (_ @t369 tptp.nil_message_p_v) @t370)) (=> (forall (@list @t368 @t316 @t315 @t367) (=> (_ (_ @t369 @t315) (_ (_ tptp.cons_l1083444861t_unit (_ @t368 @t316)) @t367)) (_ (_ @t369 @t317) @t367))) (_ (_ (_ @t366 @t365) @t102) @t74))))) % 0.48/0.84 (assume @p122 (forall (@list @t56 @t371) (=> @t174 (=> @t375 (=> (forall @t80 (=> (not (= @t78 tptp.nil_li307996205t_unit)) (=> (_ @t371 @t78) @t372))) (_ @t371 @t56)))))) % 0.48/0.84 (assume @p123 (forall (@list @t59 @t376) (=> @t178 (=> @t380 (=> (forall @t93 (=> (not (= @t91 tptp.nil_list_message_p_v)) (=> (_ @t376 @t91) @t377))) (_ @t376 @t59)))))) % 0.48/0.84 (assume @p124 (forall (@list @t62 @t381) (=> @t182 (=> @t386 (=> (forall @t106 (=> (not (= @t104 tptp.nil_message_p_v)) (=> (_ @t381 @t104) @t383))) @t382))))) % 0.48/0.84 (assume @p125 (forall (@list @t65 @t387) (=> @t186 (=> @t393 (=> (forall @t119 (=> (not (= @t117 tptp.nil_co1338500125t_unit)) (=> @t390 @t389))) @t388))))) % 0.48/0.84 (assume @p126 (forall @t403 (=> @t402 (=> (forall (@list @t400 @t71) (_ @t401 @t373)) (=> (forall (@list @t400 @t71 @t397 @t78) (=> (_ @t401 @t398) (_ @t401 @t399))) @t396))))) % 0.48/0.84 (assume @p127 (forall @t414 (=> @t413 (=> (forall (@list @t411 @t84) (_ @t412 @t378)) (=> (forall (@list @t411 @t84 @t407 @t91) (=> (_ @t412 @t409) (_ @t412 @t410))) @t406))))) % 0.48/0.84 (assume @p128 (forall @t425 (=> @t424 (=> (forall (@list @t422 @t97) (_ @t423 @t384)) (=> (forall (@list @t422 @t97 @t418 @t104) (=> (_ @t423 @t420) (_ @t423 @t421))) @t417))))) % 0.48/0.84 (assume @p129 (forall @t436 (=> @t435 (=> (forall (@list @t433 @t110) (_ @t434 @t391)) (=> (forall (@list @t433 @t110 @t429 @t117) (=> (_ @t434 @t431) (_ @t434 @t432))) @t428))))) % 0.48/0.84 (assume @p130 (forall (@list @t371 @t437) (=> (_ @t371 tptp.nil_li307996205t_unit) (=> @t375 (=> (forall @t439 (=> (=> @t438 @t372) (=> (=> (not @t438) (_ @t371 @t398)) (_ @t371 @t399)))) (_ @t371 @t437)))))) % 0.48/0.84 (assume @p131 (forall (@list @t376 @t440) (=> (_ @t376 tptp.nil_list_message_p_v) (=> @t380 (=> (forall @t442 (=> (=> @t441 @t377) (=> (=> (not @t441) (_ @t376 @t409)) (_ @t376 @t410)))) (_ @t376 @t440)))))) % 0.48/0.84 (assume @p132 (forall (@list @t381 @t443) (=> @t446 (=> @t386 (=> (forall @t445 (=> (=> @t444 @t383) (=> (=> (not @t444) (_ @t381 @t420)) (_ @t381 @t421)))) (_ @t381 @t443)))))) % 0.48/0.84 (assume @p133 (forall (@list @t387 @t447) (=> @t450 (=> @t393 (=> (forall @t449 (=> (=> @t448 @t389) (=> (=> (not @t448) (_ @t387 @t431)) (_ @t387 @t432)))) (_ @t387 @t447)))))) % 0.48/0.84 (assume @p134 (forall @t403 (=> @t402 (=> (forall (@list @t400 @t71 @t451) (=> (_ @t401 @t451) (_ @t401 (_ @t72 @t451)))) @t396)))) % 0.48/0.84 (assume @p135 (forall @t414 (=> @t413 (=> (forall (@list @t411 @t84 @t452) (=> (_ @t412 @t452) (_ @t412 (_ @t85 @t452)))) @t406)))) % 0.48/0.84 (assume @p136 (forall @t425 (=> @t424 (=> (forall (@list @t422 @t97 @t453) (=> (_ @t423 @t453) (_ @t423 (_ @t98 @t453)))) @t417)))) % 0.48/0.84 (assume @p137 (forall @t436 (=> @t435 (=> (forall (@list @t433 @t110 @t454) (=> (_ @t434 @t454) (_ @t434 (_ @t111 @t454)))) @t428)))) % 0.48/0.84 (assume @p138 (forall @t457 (=> @t456 (=> (forall @t374 (not (= @t455 @t373))) (not (forall @t439 (not (= @t455 @t399)))))))) % 0.48/0.84 (assume @p139 (forall @t460 (=> @t459 (=> (forall @t379 (not (= @t458 @t378))) (not (forall @t442 (not (= @t458 @t410)))))))) % 0.48/0.84 (assume @p140 (forall (@list @t20) (=> (not (= @t20 tptp.nil_message_p_v)) (=> (forall @t385 (not (= @t20 @t384))) (not (forall @t445 (not (= @t20 @t421)))))))) % 0.48/0.84 (assume @p141 (forall (@list @t16) (=> (not (= @t16 tptp.nil_co1338500125t_unit)) (=> (forall @t392 (not (= @t16 @t391))) (not (forall @t449 (not (= @t16 @t432)))))))) % 0.48/0.84 (assume @p142 (forall (@list @t462) (=> (not (= @t462 tptp.nil_li2108369341t_unit)) (=> (forall (@list @t461) (not (= @t462 (_ (_ tptp.cons_l1777019405t_unit tptp.nil_li307996205t_unit) @t461)))) (not (forall (@list @t71 @t78 @t461) (not (= @t462 (_ (_ tptp.cons_l1777019405t_unit @t79) @t461))))))))) % 0.48/0.84 (assume @p143 (forall (@list @t464) (=> (not (= @t464 tptp.nil_li835338673ge_p_v)) (=> (forall (@list @t463) (not (= @t464 (_ (_ tptp.cons_l1383421281ge_p_v tptp.nil_list_message_p_v) @t463)))) (not (forall (@list @t84 @t91 @t463) (not (= @t464 (_ (_ tptp.cons_l1383421281ge_p_v @t92) @t463))))))))) % 0.48/0.84 (assume @p144 (forall @t460 (=> @t459 (=> (forall (@list @t465) (not (= @t458 (_ @t466 @t465)))) (not (forall (@list @t97 @t104 @t465) (not (= @t458 (_ (_ tptp.cons_l233104475ge_p_v @t105) @t465))))))))) % 0.48/0.84 (assume @p145 (forall @t457 (=> @t456 (=> (forall (@list @t467) (not (= @t455 (_ @t468 @t467)))) (not (forall (@list @t110 @t117 @t467) (not (= @t455 (_ (_ tptp.cons_l1083444861t_unit @t118) @t467))))))))) % 0.48/0.84 (assume @p146 (forall (@list @t153 @t440 @t89) (=> (forall (@list @t346) (_ @t154 @t346)) (=> (forall (@list @t91) (_ @t471 tptp.nil_list_message_p_v)) (=> (forall (@list @t84 @t91 @t407 @t452) (=> (_ @t471 @t469) (=> (_ @t470 @t452) (_ @t470 @t469)))) (_ (_ @t153 @t440) @t89)))))) % 0.48/0.84 (assume @p147 (forall @t480 (=> @t479 (=> (forall @t261 (_ @t477 tptp.nil_message_p_v)) (=> (forall @t478 (=> (_ @t477 @t473) (=> @t476 @t475))) @t472))))) % 0.48/0.84 (assume @p148 (forall @t489 (=> @t488 (=> (forall @t263 (_ @t486 tptp.nil_co1338500125t_unit)) (=> (forall @t487 (=> (_ @t486 @t482) (=> @t485 @t484))) @t481))))) % 0.48/0.84 (assume @p149 (forall (@list @t381 @t62) (=> @t446 (=> @t386 (=> (forall (@list @t97 @t418 @t490) (=> (_ @t381 @t490) (=> (_ @t381 @t491) (_ @t381 (_ @t98 @t491))))) @t382))))) % 0.48/0.84 (assume @p150 (forall @t494 (=> @t450 (=> @t393 (=> (forall (@list @t110 @t429 @t492) (=> (_ @t387 @t492) (=> (_ @t387 @t493) (_ @t387 (_ @t111 @t493))))) @t388))))) % 0.48/0.84 (assume @p151 (forall @t480 (=> @t479 (=> (forall (@list @t97 @t104 @t453) (=> (_ (_ @t157 @t453) @t104) @t476)) @t472)))) % 0.48/0.84 (assume @p152 (forall @t489 (=> @t488 (=> (forall (@list @t110 @t117 @t454) (=> (_ (_ @t161 @t454) @t117) @t485)) @t481)))) % 0.48/0.84 (assume @p153 (forall (@list @t157 @t62 @t254) (=> @t498 (=> (forall @t106 (_ @t474 tptp.nil_message_p_v)) (=> (forall @t497 (_ @t158 @t473)) (=> (forall @t478 @t496) @t495)))))) % 0.48/0.84 (assume @p154 (forall (@list @t499 @t62 @t257) (=> @t506 (=> (forall @t106 (_ @t501 tptp.nil_co1338500125t_unit)) (=> (forall @t505 (_ @t504 @t482)) (=> (forall @t503 @t502) @t500)))))) % 0.48/0.84 (assume @p155 (forall (@list @t507 @t65 @t254) (=> @t513 (=> (forall @t119 (_ @t509 tptp.nil_message_p_v)) (=> (forall @t497 (_ @t512 @t473)) (=> (forall @t511 @t510) @t508)))))) % 0.48/0.84 (assume @p156 (forall (@list @t161 @t65 @t257) (=> @t516 (=> (forall @t119 (_ @t483 tptp.nil_co1338500125t_unit)) (=> (forall @t505 (_ @t162 @t482)) (=> (forall @t487 @t515) @t514)))))) % 0.48/0.84 (assume @p157 (forall @t184 (= @t182 (exists (@list @t518 @t517) (= @t62 (_ (_ tptp.cons_message_p_v @t518) @t517)))))) % 0.48/0.84 (assume @p158 (forall @t188 (= @t186 (exists @t522 @t521)))) % 0.48/0.84 (assume @p159 (forall (@list @t381 @t523) (=> @t446 (=> (forall (@list @t525 @t524) (=> (_ @t381 @t524) (_ @t381 (_ (_ tptp.cons_message_p_v @t525) @t524)))) (_ @t381 @t523))))) % 0.48/0.84 (assume @p160 (forall (@list @t387 @t526) (=> @t450 (=> (forall (@list @t528 @t527) (=> (_ @t387 @t527) (_ @t387 (_ (_ tptp.cons_c1162654829t_unit @t528) @t527)))) (_ @t387 @t526))))) % 0.48/0.84 (assume @p161 (forall (@list @t252) (=> @t531 (not (forall (@list @t530 @t529) (not (= @t252 (_ (_ tptp.cons_message_p_v @t530) @t529)))))))) % 0.48/0.84 (assume @p162 (forall (@list @t253) (=> (not (= @t253 tptp.nil_co1338500125t_unit)) (not (forall (@list @t533 @t532) (not (= @t253 (_ (_ tptp.cons_c1162654829t_unit @t533) @t532)))))))) % 0.48/0.84 (assume @p163 (forall (@list @t523 @t209 @t207) (=> (= @t523 @t210) (not (= @t523 tptp.nil_message_p_v))))) % 0.48/0.84 (assume @p164 (forall (@list @t526 @t222 @t220) (=> (= @t526 @t223) (not (= @t526 tptp.nil_co1338500125t_unit))))) % 0.48/0.84 (assume @p165 (forall (@list @t209 @t207) (not (= tptp.nil_message_p_v @t210)))) % 0.48/0.84 (assume @p166 (forall (@list @t222 @t220) (not (= tptp.nil_co1338500125t_unit @t223)))) % 0.48/0.84 (assume @p167 (forall @t494 (=> (forall @t263 (=> (forall (@list @t534) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_s1406904903t_unit @t534)) @t262) (_ @t387 @t534))) @t390)) @t388))) % 0.48/0.84 (assume @p168 (forall (@list @t535 @t189 @t195) (=> @t537 (= (_ @t536 (_ @t535 @t195)) @t247)))) % 0.48/0.84 (assume @p169 (forall (@list @t538 @t189 @t195) (=> @t543 (= (_ @t540 (_ @t538 @t195)) @t247)))) % 0.48/0.84 (assume @p170 (forall (@list @t535 @t189 @t544) (=> @t537 (=> @t545 (_ @t536 (_ @t535 @t544)))))) % 0.48/0.84 (assume @p171 (forall @t547 (=> @t543 (=> @t545 (_ @t540 @t546))))) % 0.48/0.84 (assume @p172 (forall @t201 (= @t307 (or @t549 (exists (@list @t548) (and (= @t195 (_ tptp.suc @t548)) (_ (_ tptp.ord_less_nat @t548) @t189))))))) % 0.48/0.84 (assume @p173 (forall @t193 (=> @t202 @t265))) % 0.48/0.84 (assume @p174 (forall @t305 (= @t304 (and @t269 (forall @t302 (=> @t301 @t550)))))) % 0.48/0.84 (assume @p175 (forall @t193 (= @t202 (exists (@list @t551) (= @t189 (_ tptp.suc @t551)))))) % 0.48/0.84 (assume @p176 (forall @t305 (= @t308 (or @t269 (exists @t302 (and @t301 @t550)))))) % 0.48/0.84 (assume @p177 (forall (@list @t65 @t189) (= (= @t187 @t194) @t552))) % 0.48/0.84 (assume @p178 (forall (@list @t189 @t65) (= (= @t194 @t187) @t552))) % 0.48/0.84 (assume @p179 (= (_ tptp.size_s1168481041ge_p_v tptp.nil_message_p_v) tptp.zero_zero_nat)) % 0.48/0.84 (assume @p180 (= (_ tptp.size_s1406904903t_unit tptp.nil_co1338500125t_unit) tptp.zero_zero_nat)) % 0.48/0.84 (assume @p181 (forall (@list @t62 @t254 @t553 @t554) (=> @t256 (=> @t562 (=> (_ (_ (_ @t554 tptp.nil_message_p_v) tptp.nil_message_p_v) tptp.nil_message_p_v) (=> (forall (@list @t97 @t104 @t418 @t453 @t555 @t490) (=> @t560 (=> @t559 (=> (_ (_ (_ @t554 @t104) @t453) @t490) (_ (_ (_ @t554 @t105) @t473) @t556))))) (_ (_ (_ @t554 @t62) @t254) @t553))))))) % 0.48/0.84 (assume @p182 (forall (@list @t62 @t254 @t563 @t564) (=> @t256 (=> @t570 (=> (_ (_ (_ @t564 tptp.nil_message_p_v) tptp.nil_message_p_v) tptp.nil_co1338500125t_unit) (=> (forall (@list @t97 @t104 @t418 @t453 @t565 @t492) (=> @t560 (=> @t568 (=> (_ (_ (_ @t564 @t104) @t453) @t492) (_ (_ (_ @t564 @t105) @t473) @t566))))) (_ (_ (_ @t564 @t62) @t254) @t563))))))) % 0.48/0.84 (assume @p183 (forall (@list @t62 @t257 @t553 @t571) (=> @t576 (=> @t575 (=> (_ (_ (_ @t571 tptp.nil_message_p_v) tptp.nil_co1338500125t_unit) tptp.nil_message_p_v) (=> (forall (@list @t97 @t104 @t429 @t454 @t555 @t490) (=> @t574 (=> @t573 (=> (_ (_ (_ @t571 @t104) @t454) @t490) (_ (_ (_ @t571 @t105) @t482) @t556))))) (_ (_ (_ @t571 @t62) @t257) @t553))))))) % 0.48/0.84 (assume @p184 (forall (@list @t62 @t257 @t563 @t577) (=> @t576 (=> @t579 (=> (_ (_ (_ @t577 tptp.nil_message_p_v) tptp.nil_co1338500125t_unit) tptp.nil_co1338500125t_unit) (=> (forall (@list @t97 @t104 @t429 @t454 @t565 @t492) (=> @t574 (=> @t578 (=> (_ (_ (_ @t577 @t104) @t454) @t492) (_ (_ (_ @t577 @t105) @t482) @t566))))) (_ (_ (_ @t577 @t62) @t257) @t563))))))) % 0.48/0.84 (assume @p185 (forall (@list @t65 @t254 @t553 @t580) (=> @t582 (=> @t562 (=> (_ (_ (_ @t580 tptp.nil_co1338500125t_unit) tptp.nil_message_p_v) tptp.nil_message_p_v) (=> (forall (@list @t110 @t117 @t418 @t453 @t555 @t490) (=> @t581 (=> @t559 (=> (_ (_ (_ @t580 @t117) @t453) @t490) (_ (_ (_ @t580 @t118) @t473) @t556))))) (_ (_ (_ @t580 @t65) @t254) @t553))))))) % 0.48/0.84 (assume @p186 (forall (@list @t65 @t254 @t563 @t583) (=> @t582 (=> @t570 (=> (_ (_ (_ @t583 tptp.nil_co1338500125t_unit) tptp.nil_message_p_v) tptp.nil_co1338500125t_unit) (=> (forall (@list @t110 @t117 @t418 @t453 @t565 @t492) (=> @t581 (=> @t568 (=> (_ (_ (_ @t583 @t117) @t453) @t492) (_ (_ (_ @t583 @t118) @t473) @t566))))) (_ (_ (_ @t583 @t65) @t254) @t563))))))) % 0.48/0.84 (assume @p187 (forall (@list @t65 @t257 @t553 @t584) (=> @t259 (=> @t575 (=> (_ (_ (_ @t584 tptp.nil_co1338500125t_unit) tptp.nil_co1338500125t_unit) tptp.nil_message_p_v) (=> (forall (@list @t110 @t117 @t429 @t454 @t555 @t490) (=> @t585 (=> @t573 (=> (_ (_ (_ @t584 @t117) @t454) @t490) (_ (_ (_ @t584 @t118) @t482) @t556))))) (_ (_ (_ @t584 @t65) @t257) @t553))))))) % 0.48/0.84 (assume @p188 (forall (@list @t65 @t257 @t563 @t586) (=> @t259 (=> @t579 (=> (_ (_ (_ @t586 tptp.nil_co1338500125t_unit) tptp.nil_co1338500125t_unit) tptp.nil_co1338500125t_unit) (=> (forall (@list @t110 @t117 @t429 @t454 @t565 @t492) (=> @t585 (=> @t578 (=> (_ (_ (_ @t586 @t117) @t454) @t492) (_ (_ (_ @t586 @t118) @t482) @t566))))) (_ (_ (_ @t586 @t65) @t257) @t563))))))) % 0.48/0.84 (assume @p189 (forall (@list @t62 @t254 @t157) (=> @t256 (=> @t498 (=> (forall @t478 (=> @t560 @t496)) @t495))))) % 0.48/0.84 (assume @p190 (forall (@list @t62 @t257 @t499) (=> @t576 (=> @t506 (=> (forall @t503 (=> @t574 @t502)) @t500))))) % 0.48/0.84 (assume @p191 (forall (@list @t65 @t254 @t507) (=> @t582 (=> @t513 (=> (forall @t511 (=> @t581 @t510)) @t508))))) % 0.48/0.84 (assume @p192 (forall (@list @t65 @t257 @t161) (=> @t259 (=> @t516 (=> (forall @t487 (=> @t585 @t515)) @t514))))) % 0.48/0.84 (assume @p193 (forall (@list @t28 @t588 @t587 @t593 @t253) @t597)) % 0.48/0.84 (assume @p194 (forall (@list @t28 @t588 @t587 @t593 @t252) @t598)) % 0.48/0.84 (assume @p195 (forall @t603 @t602)) % 0.48/0.84 (assume @p196 (forall @t603 @t604)) % 0.48/0.84 (assume @p197 (forall @t172 @t605)) % 0.48/0.84 (assume @p198 (forall @t67 (= (_ tptp.size_s1406904903t_unit @t66) (_ tptp.suc @t187)))) % 0.48/0.84 (assume @p199 (forall @t606 (= (= tptp.zero_zero_nat @t231) (= @t231 tptp.zero_zero_nat)))) % 0.48/0.84 (assume @p200 (forall @t608 (= (= tptp.zero_zero_int @t607) (= @t607 tptp.zero_zero_int)))) % 0.48/0.84 (assume @p201 (forall @t193 (= @t202 @t203))) % 0.48/0.84 (assume @p202 (forall @t193 (and (=> @t190 (= @t609 @t610)) (=> @t203 (= @t609 tptp.nil_li307996205t_unit))))) % 0.48/0.84 (assume @p203 (forall @t193 (and (=> @t190 (= @t611 @t612)) (=> @t203 (= @t611 tptp.nil_list_message_p_v))))) % 0.48/0.84 (assume @p204 (forall (@list @t615 @t614 @t613 @t28 @t588 @t587 @t593 @t253) (=> @t616 @t597))) % 0.48/0.84 (assume @p205 (forall @t188 (= (_ (_ tptp.n_list1987762709t_unit tptp.zero_zero_nat) @t65) @t610))) % 0.48/0.84 (assume @p206 (forall @t184 (= (_ (_ tptp.n_lists_message_p_v tptp.zero_zero_nat) @t62) @t612))) % 0.48/0.84 (assume @p207 (forall (@list @t615 @t614 @t613 @t28 @t588 @t587 @t593 @t252) (=> @t616 @t598))) % 0.48/0.84 (assume @p208 (forall @t617 (=> @t616 @t602))) % 0.48/0.84 (assume @p209 (forall @t617 (=> @t616 @t604))) % 0.48/0.84 (assume @p210 (forall @t618 (=> @t616 @t605))) % 0.48/0.84 (assume @p211 (forall @t618 (=> @t616 @t171))) % 0.48/0.84 (assume @p212 (not (_ @t166 tptp.zero_zero_nat))) % 0.48/0.84 (assume @p213 (not (_ @t619 tptp.zero_zero_int))) % 0.48/0.84 (assume @p214 (= (_ tptp.produc663212148t_unit tptp.nil_li307996205t_unit) @t610)) % 0.48/0.84 (assume @p215 (= (_ tptp.produc1505827982ge_p_v tptp.nil_list_message_p_v) @t612)) % 0.48/0.84 (assume @p216 (= (_ tptp.subseq1144048270t_unit tptp.nil_co1338500125t_unit) @t610)) % 0.48/0.84 (assume @p217 (= (_ tptp.subseqs_message_p_v tptp.nil_message_p_v) @t612)) % 0.48/0.84 (assume @p218 (= tptp.size_s1406904903t_unit (_ tptp.gen_le193291088t_unit tptp.zero_zero_nat))) % 0.48/0.84 (assume @p219 (forall (@list @t189 @t28 @t65) (= (_ @t620 @t66) (_ (_ tptp.gen_le193291088t_unit @t194) @t65)))) % 0.48/0.84 (assume @p220 (forall @t193 (= (_ @t620 tptp.nil_co1338500125t_unit) @t189))) % 0.48/0.84 (assume @p221 (forall @t193 (= (_ (_ tptp.gen_le697204914ge_p_v @t189) tptp.nil_message_p_v) @t189))) % 0.48/0.84 (assume @p222 (forall (@list @t24) (= (_ (_ tptp.insert_message_p_v @t24) tptp.nil_message_p_v) @t621))) % 0.48/0.84 (assume @p223 (forall (@list @t28) (= (_ (_ tptp.insert1308755079t_unit @t28) tptp.nil_co1338500125t_unit) @t595))) % 0.48/0.84 (assume @p224 (forall (@list @t249 @t24) (and (=> @t623 (= @t622 @t621)) (=> @t624 (= @t622 tptp.nil_message_p_v))))) % 0.48/0.84 (assume @p225 (forall (@list @t249 @t28) (and (=> @t623 (= @t625 @t595)) (=> @t624 (= @t625 tptp.nil_co1338500125t_unit))))) % 0.48/0.84 (assume @p226 (forall @t193 (= (_ @t166 @t626) @t202))) % 0.48/0.84 (assume @p227 (forall @t193 (= (_ @t619 @t627) @t202))) % 0.48/0.84 (assume @p228 (forall @t201 (= (= @t628 @t627) @t245))) % 0.48/0.84 (assume @p229 (forall @t251 (= (_ (_ tptp.nths_c890550943t_unit tptp.nil_co1338500125t_unit) @t249) tptp.nil_co1338500125t_unit))) % 0.48/0.84 (assume @p230 (forall @t251 (= (_ (_ tptp.nths_message_p_v tptp.nil_message_p_v) @t249) tptp.nil_message_p_v))) % 0.48/0.84 (assume @p231 (= (_ tptp.semiri1382578993at_nat tptp.zero_zero_nat) tptp.zero_zero_nat)) % 0.48/0.84 (assume @p232 (= (_ tptp.semiri2019852685at_int tptp.zero_zero_nat) tptp.zero_zero_int)) % 0.48/0.84 (assume @p233 (forall @t193 (= (= tptp.zero_zero_nat @t626) @t629))) % 0.48/0.84 (assume @p234 (forall @t193 (= (= tptp.zero_zero_int @t627) @t629))) % 0.48/0.84 (assume @p235 (forall @t270 (= (= @t630 tptp.zero_zero_nat) @t549))) % 0.48/0.84 (assume @p236 (forall @t270 (= (= @t628 tptp.zero_zero_int) @t549))) % 0.48/0.84 (assume @p237 (forall @t201 (= @t632 @t200))) % 0.48/0.84 (assume @p238 (forall @t201 (= @t634 @t200))) % 0.48/0.84 (assume @p239 (forall @t270 (not (_ @t631 tptp.zero_zero_nat)))) % 0.48/0.84 (assume @p240 (forall @t270 (not (_ @t633 tptp.zero_zero_int)))) % 0.48/0.84 (assume @p241 (forall @t193 (not (= (_ tptp.semiri1382578993at_nat @t194) tptp.zero_zero_nat)))) % 0.48/0.84 (assume @p242 (forall @t193 (not (= @t635 tptp.zero_zero_int)))) % 0.48/0.84 (assume @p243 (forall @t201 (=> @t200 @t632))) % 0.48/0.84 (assume @p244 (forall @t201 (=> @t200 @t634))) % 0.48/0.84 (assume @p245 (forall @t201 (=> @t632 @t200))) % 0.48/0.84 (assume @p246 (forall @t201 (=> @t634 @t200))) % 0.48/0.84 (assume @p247 (forall (@list @t65 @t636) (=> (forall @t289 (=> (_ @t288 @t187) (_ (_ tptp.member_nat @t284) @t636))) (= (_ (_ tptp.nths_c890550943t_unit @t65) @t636) @t65)))) % 0.48/0.84 (assume @p248 (forall @t643 (=> @t642 (not @t641)))) % 0.48/0.84 (assume @p249 (forall @t643 (=> @t642 (exists @t165 (and @t280 @t640))))) % 0.48/0.84 (assume @p250 (forall (@list @t644) (not (_ (_ tptp.list_e1598815642t_unit @t644) tptp.nil_co1338500125t_unit)))) % 0.48/0.84 (assume @p251 (forall (@list @t645) (not (_ (_ tptp.list_ex1_message_p_v @t645) tptp.nil_message_p_v)))) % 0.48/0.84 (assume @p252 (forall @t643 (=> (_ (_ tptp.ord_less_int @t639) tptp.zero_zero_int) @t647))) % 0.48/0.84 (assume @p253 (forall @t652 (= (= @t651 @t650) (= @t649 @t648)))) % 0.48/0.84 (assume @p254 (forall @t653 (= (_ tptp.uminus_uminus_int @t651) @t649))) % 0.48/0.84 (assume @p255 (= (_ tptp.uminus_uminus_int tptp.zero_zero_int) tptp.zero_zero_int)) % 0.48/0.84 (assume @p256 (forall @t653 (= (= tptp.zero_zero_int @t651) (= tptp.zero_zero_int @t649)))) % 0.48/0.84 (assume @p257 (forall @t653 (= (= @t651 tptp.zero_zero_int) @t654))) % 0.48/0.84 (assume @p258 (forall @t653 (= (= @t649 @t651) @t654))) % 0.48/0.84 (assume @p259 (forall @t653 (= (= @t651 @t649) @t654))) % 0.48/0.84 (assume @p260 (forall @t659 (= @t658 @t656))) % 0.48/0.84 (assume @p261 (forall @t653 (= (_ @t655 @t651) @t660))) % 0.48/0.84 (assume @p262 (forall @t653 (= (_ @t662 @t649) @t661))) % 0.48/0.84 (assume @p263 (forall @t653 (= (_ @t619 @t651) @t660))) % 0.48/0.84 (assume @p264 (forall @t653 (= (_ @t662 tptp.zero_zero_int) @t661))) % 0.48/0.84 (assume @p265 (forall @t248 (= (= @t663 @t628) (and @t190 @t549)))) % 0.48/0.84 (assume @p266 (forall @t248 (_ @t664 @t628))) % 0.48/0.84 (assume @p267 (forall @t652 (= (_ @t662 @t648) (_ @t657 @t649)))) % 0.48/0.84 (assume @p268 (forall @t652 (= (_ @t655 @t650) (_ (_ tptp.ord_less_int @t648) @t651)))) % 0.48/0.84 (assume @p269 (forall @t652 (=> @t656 @t658))) % 0.48/0.84 (assume @p270 (forall @t652 (= (= @t651 @t648) (= @t650 @t649)))) % 0.48/0.84 (assume @p271 (forall @t652 (= (= @t649 @t650) (= @t648 @t651)))) % 0.48/0.84 (assume @p272 (forall @t667 (=> (forall @t165 (not (= @t666 @t638))) (not (forall @t165 (not (= @t666 @t665))))))) % 0.48/0.84 (assume @p273 (forall (@list @t668 @t666) (=> (forall @t165 (_ @t668 @t638)) (=> (forall @t165 (_ @t668 @t665)) (_ @t668 @t666))))) % 0.48/0.84 (assume @p274 (forall (@list @t669) (=> (forall @t165 (not (= @t669 @t638))) (not (forall @t165 (=> @t280 (not (= @t669 @t646)))))))) % 0.48/0.84 (assume @p275 (forall @t205 (not (_ @t279 @t204)))) % 0.48/0.84 (assume @p276 (forall @t653 (not (_ @t655 @t649)))) % 0.48/0.84 (assume @p277 (forall @t643 (=> (not (= @t639 tptp.zero_zero_int)) (=> @t641 @t647)))) % 0.48/0.84 (assume @p278 (forall @t193 (_ @t664 tptp.zero_zero_int))) % 0.48/0.84 (assume @p279 (forall @t608 (=> (_ (_ tptp.ord_less_int @t607) tptp.zero_zero_int) (exists @t165 (= @t607 @t665))))) % 0.48/0.84 (assume @p280 (forall @t667 (= (_ @t166 @t671) @t670))) % 0.48/0.84 (assume @p281 (forall @t667 (= @t673 @t670))) % 0.48/0.84 (assume @p282 (= (_ tptp.ring_1_of_int_int tptp.zero_zero_int) tptp.zero_zero_int)) % 0.48/0.84 (assume @p283 (forall @t667 (= (= tptp.zero_zero_int @t672) @t674))) % 0.48/0.84 (assume @p284 (forall @t667 (= (= @t672 tptp.zero_zero_int) @t674))) % 0.48/0.84 (assume @p285 (forall @t678 (= (_ (_ tptp.ord_less_int (_ tptp.ring_1_of_int_int @t675)) @t672) @t677))) % 0.48/0.84 (assume @p286 (forall @t678 (= @t680 (and @t670 @t677)))) % 0.48/0.84 (assume @p287 (forall @t193 (= (_ tptp.nat2 @t663) tptp.zero_zero_nat))) % 0.48/0.84 (assume @p288 (forall @t667 (= (_ @t682 tptp.zero_zero_int) (_ @t681 tptp.zero_zero_int)))) % 0.48/0.84 (assume @p289 (= tptp.zero_zero_nat (_ tptp.nat2 tptp.zero_zero_int))) % 0.48/0.84 (assume @p290 (forall (@list @t666 @t675) (=> @t670 (= @t680 @t677)))) % 0.48/0.84 (assume @p291 (forall (@list @t195 @t666) (= (_ @t199 @t671) (_ @t633 @t666)))) % 0.48/0.84 (assume @p292 (forall @t667 (=> @t670 @t673))) % 0.48/0.84 (assume @p293 (forall (@list @t189 @t607) (= (_ @t683 (_ tptp.ring_1_of_int_int @t607)) (_ @t683 @t607)))) % 0.48/0.84 (assume @p294 (forall (@list @t234 @t684) (= (_ @t234 @t686) (and (forall (@list @t685) (=> (= @t684 (_ tptp.semiri2019852685at_int @t685)) (_ @t234 @t685))) (=> (_ (_ tptp.ord_less_int @t684) tptp.zero_zero_int) @t269))))) % 0.48/0.84 (assume @p295 (forall @t667 (= (_ (_ tptp.ord_less_nat @t191) @t671) @t688))) % 0.48/0.84 (assume @p296 (forall (@list @t675 @t195) (=> (_ @t689 @t675) (= (_ @t679 @t195) (_ @t676 @t628))))) % 0.48/0.84 (assume @p297 (forall @t193 (= (_ @t690 tptp.zero_zero_nat) @t190))) % 0.48/0.84 (assume @p298 (forall @t659 (= (_ (_ tptp.ord_less_eq_int @t650) @t651) (_ @t691 @t648)))) % 0.48/0.84 (assume @p299 (forall @t201 (= (_ @t692 @t627) (_ (_ tptp.ord_less_eq_nat @t195) @t189)))) % 0.48/0.84 (assume @p300 (= (_ tptp.semiri2019852685at_int tptp.one_one_nat) tptp.one_one_int)) % 0.48/0.84 (assume @p301 (forall @t193 (= (= tptp.one_one_int @t627) @t693))) % 0.48/0.84 (assume @p302 (forall @t193 (= (= @t627 tptp.one_one_int) @t693))) % 0.48/0.84 (assume @p303 (forall @t653 (= (_ @t689 @t651) @t694))) % 0.48/0.84 (assume @p304 (forall @t653 (= (_ @t696 tptp.zero_zero_int) @t695))) % 0.48/0.84 (assume @p305 (forall @t653 (= (_ @t691 @t651) @t694))) % 0.48/0.84 (assume @p306 (forall @t653 (= (_ @t696 @t649) @t695))) % 0.48/0.84 (assume @p307 (forall @t270 (= (_ (_ tptp.ord_less_eq_nat @t630) tptp.zero_zero_nat) @t549))) % 0.48/0.84 (assume @p308 (forall @t270 (= (_ @t692 tptp.zero_zero_int) @t549))) % 0.48/0.84 (assume @p309 (= (_ tptp.nat2 tptp.one_one_int) @t191)) % 0.48/0.84 (assume @p310 (forall @t667 (=> @t697 (= @t671 tptp.zero_zero_nat)))) % 0.48/0.84 (assume @p311 (forall (@list @t684) (= (= @t686 tptp.zero_zero_nat) (_ (_ tptp.ord_less_eq_int @t684) tptp.zero_zero_int)))) % 0.48/0.84 (assume @p312 (forall @t667 (= (_ (_ tptp.ord_less_eq_int @t672) tptp.zero_zero_int) @t697))) % 0.48/0.84 (assume @p313 (forall @t667 (= @t699 @t698))) % 0.48/0.84 (assume @p314 (forall @t667 (= (_ @t682 tptp.one_one_int) (_ @t681 tptp.one_one_int)))) % 0.48/0.84 (assume @p315 (forall @t667 (= (_ @t687 @t672) @t688))) % 0.48/0.84 (assume @p316 (forall @t667 (=> @t698 @t699))) % 0.48/0.84 (assume @p317 (forall (@list @t700 @t701) (= (not (_ (_ tptp.ord_less_eq_nat @t700) @t701)) (_ (_ tptp.ord_less_nat @t701) @t700)))) % 0.48/0.84 (assume @p318 (forall (@list @t702 @t703) (= (not (_ (_ tptp.ord_less_eq_int @t702) @t703)) (_ (_ tptp.ord_less_int @t703) @t702)))) % 0.48/0.84 (assume @p319 (_ (_ tptp.ord_less_eq_int tptp.one_one_int) tptp.one_one_int)) % 0.48/0.84 (assume @p320 (forall @t608 (= (= tptp.one_one_int @t607) (= @t607 tptp.one_one_int)))) % 0.48/0.84 (assume @p321 (forall @t547 (=> (forall @t165 (_ (_ tptp.ord_less_eq_int @t541) @t542)) (=> @t704 (_ (_ tptp.ord_less_eq_int @t546) @t539))))) % 0.48/0.84 (assume @p322 (forall @t547 (=> (forall @t165 (_ (_ tptp.ord_less_eq_int @t542) @t541)) (=> @t704 (_ (_ tptp.ord_less_eq_int @t539) @t546))))) % 0.48/0.84 (assume @p323 (forall @t606 (_ @t705 @t231))) % 0.48/0.84 (assume @p324 (_ @t705 tptp.zero_zero_nat)) % 0.48/0.84 (assume @p325 (_ @t689 tptp.zero_zero_int)) % 0.48/0.84 (assume @p326 (not (_ (_ tptp.ord_less_nat tptp.one_one_nat) tptp.one_one_nat))) % 0.48/0.84 (assume @p327 (not (_ @t687 tptp.one_one_int))) % 0.48/0.84 (assume @p328 (forall (@list @t283 @t287) (=> (_ (_ tptp.ord_less_eq_nat @t283) @t287) (_ (_ tptp.ord_less_eq_int (_ tptp.semiri2019852685at_int @t283)) (_ tptp.semiri2019852685at_int @t287))))) % 0.48/0.84 (assume @p329 (not (_ @t687 @t706))) % 0.48/0.84 (assume @p330 (_ (_ tptp.ord_less_int @t706) tptp.one_one_int)) % 0.48/0.84 (assume @p331 (not (= tptp.zero_zero_int @t706))) % 0.48/0.84 (assume @p332 (not @t3)) % 0.48/0.84 (assume @p333 true) % 0.48/0.84 (step @p334 (= tptp.ord_less_nat @t710) :rule refl :args (@t710)) % 0.48/0.84 (step @p335 :rule beta-reduce :args ((= (_ @t713 tptp.na) @t712))) % 0.48/0.84 (step @p336 :rule refl :args (tptp.na)) % 0.48/0.84 (step @p337 :rule beta-reduce :args ((= @t714 @t713))) % 0.48/0.84 (step @p338 :rule ho_cong :premises (@p337 @p336)) % 0.48/0.84 (step @p339 :rule trans :premises (@p338 @p335)) % 0.48/0.84 (step @p340 :rule refl :args (tptp.m)) % 0.48/0.84 (step @p341 :rule ho_cong :premises (@p334 @p340)) % 0.48/0.84 (step @p342 :rule ho_cong :premises (@p341 @p336)) % 0.48/0.84 (step @p343 :rule trans :premises (@p342 @p339)) % 0.48/0.84 (step @p344 :rule eq_resolve :premises (@p1 @p343)) % 0.48/0.84 (step @p345 :rule refl :args (@t3)) % 0.48/0.84 (step @p346 :rule cong :premises (@p339 @p345) :args ((=> (_ @t714 tptp.na) @t3))) % 0.48/0.84 (step @p347 :rule cong :premises (@p342 @p345) :args (@t4)) % 0.48/0.84 (step @p348 :rule trans :premises (@p347 @p346)) % 0.48/0.84 (step @p349 :rule eq_resolve :premises (@p3 @p348)) % 0.48/0.84 (step @p350 :rule implies_elim :premises (@p349)) % 0.48/0.84 (step @p351 :rule resolution :premises (@p350 @p344) :args (false @t712)) % 0.48/0.84 (step @p352 false :rule contra :premises (@p351 @p332)) % 0.48/0.84 ) % 0.48/0.84 % SZS output end Proof % 0.48/0.84 % cvc5 exiting %------------------------------------------------------------------------------