%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP054^1 : 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 : n017.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 152.83s 153.27s % Output : Proof 152.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP054^1 : 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 % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 04:11:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.55 %----Proving TH0 % 152.83/153.27 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 152.83/153.27 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 152.83/153.27 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 152.83/153.27 --- Run --ho-elim --full-saturate-quant at 18s... % 152.83/153.27 % SZS status Theorem % 152.83/153.27 % SZS output start Proof % 152.83/153.27 ( % 152.83/153.27 (declare-sort tptp.list_message_p_v 0) % 152.83/153.27 (declare-sort tptp.message_p_v 0) % 152.83/153.27 (declare-sort tptp.nat 0) % 152.83/153.27 (declare-sort tptp.list_c1059388851t_unit 0) % 152.83/153.27 (declare-sort tptp.config256849571t_unit 0) % 152.83/153.27 (declare-sort tptp.set_message_p_v 0) % 152.83/153.27 (declare-const tptp.nth_co1649820636t_unit (-> tptp.list_c1059388851t_unit tptp.nat tptp.config256849571t_unit)) % 152.83/153.27 (declare-const tptp.size_s1406904903t_unit (-> tptp.list_c1059388851t_unit tptp.nat)) % 152.83/153.27 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) % 152.83/153.27 (declare-const tptp.nth_message_p_v (-> tptp.list_message_p_v tptp.nat tptp.message_p_v)) % 152.83/153.27 (declare-const tptp.size_s1168481041ge_p_v (-> tptp.list_message_p_v tptp.nat)) % 152.83/153.27 (declare-const tptp.msgs_p1029620568t_unit (-> tptp.config256849571t_unit tptp.message_p_v tptp.nat)) % 152.83/153.27 (declare-const tptp.zero_zero_nat tptp.nat) % 152.83/153.27 (declare-const tptp.one_one_nat tptp.nat) % 152.83/153.27 (declare-const tptp.prefix47729710ge_p_v (-> tptp.list_message_p_v tptp.list_message_p_v Bool)) % 152.83/153.27 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) % 152.83/153.27 (declare-const tptp.last_message_p_v (-> tptp.list_message_p_v tptp.message_p_v)) % 152.83/153.27 (declare-const tptp.if_nat (-> Bool tptp.nat tptp.nat tptp.nat)) % 152.83/153.27 (declare-const tptp.msg tptp.message_p_v) % 152.83/153.27 (declare-const tptp.firstOccSet (-> tptp.nat tptp.set_message_p_v)) % 152.83/153.27 (declare-const tptp.list_e1598815642t_unit (-> (-> tptp.config256849571t_unit Bool) tptp.list_c1059388851t_unit Bool)) % 152.83/153.27 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 152.83/153.27 (declare-const tptp.firstO1414030372_p_v_s (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.message_p_v tptp.nat Bool)) % 152.83/153.27 (declare-const tptp.n0 tptp.nat) % 152.83/153.27 (declare-const tptp.prefix1615116500t_unit (-> tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit Bool)) % 152.83/153.27 (declare-const tptp.member_message_p_v (-> tptp.message_p_v tptp.set_message_p_v Bool)) % 152.83/153.27 (declare-const tptp.tl_con485597044t_unit (-> tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit)) % 152.83/153.27 (declare-const tptp.n tptp.nat) % 152.83/153.27 (declare-const tptp.nil_co1338500125t_unit tptp.list_c1059388851t_unit) % 152.83/153.27 (declare-const tptp.fe (-> tptp.nat tptp.list_c1059388851t_unit)) % 152.83/153.27 (declare-const tptp.list_ex1_message_p_v (-> (-> tptp.message_p_v Bool) tptp.list_message_p_v Bool)) % 152.83/153.27 (declare-const tptp.collect_message_p_v (-> (-> tptp.message_p_v Bool) tptp.set_message_p_v)) % 152.83/153.27 (declare-const tptp.nil_message_p_v tptp.list_message_p_v) % 152.83/153.27 (declare-const tptp.n1 tptp.nat) % 152.83/153.27 (declare-const tptp.nMsg tptp.nat) % 152.83/153.27 (declare-const tptp.minimalEnabled_p_v_s (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.message_p_v Bool)) % 152.83/153.27 (declare-const tptp.index tptp.nat) % 152.83/153.27 (declare-const tptp.ft (-> tptp.nat tptp.list_message_p_v)) % 152.83/153.27 (declare-const tptp.consumedMsg tptp.message_p_v) % 152.83/153.27 (declare-const tptp.remdup949903207t_unit (-> tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit)) % 152.83/153.27 (declare-const tptp.remdup74979931ge_p_v (-> tptp.list_message_p_v tptp.list_message_p_v)) % 152.83/153.27 (declare-const tptp.tl_message_p_v (-> tptp.list_message_p_v tptp.list_message_p_v)) % 152.83/153.27 (declare-const tptp.last_c571238084t_unit (-> tptp.list_c1059388851t_unit tptp.config256849571t_unit)) % 152.83/153.27 (define tptp.list_e581556831t_unit () (let ((_let_1 (@var "N4" tptp.nat))) (let ((_let_2 (@var "Xs3" tptp.list_c1059388851t_unit))) (let ((_let_3 (@var "P2" (-> tptp.config256849571t_unit Bool)))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (and (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_s1406904903t_unit _let_2)) (_ _let_3 (_ (_ tptp.nth_co1649820636t_unit _let_2) _let_1))))))))) % 152.83/153.27 (define tptp.list_ex_message_p_v () (let ((_let_1 (@var "N4" tptp.nat))) (let ((_let_2 (@var "Xs3" tptp.list_message_p_v))) (let ((_let_3 (@var "P2" (-> tptp.message_p_v Bool)))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (and (_ (_ tptp.ord_less_nat _let_1) (_ tptp.size_s1168481041ge_p_v _let_2)) (_ _let_3 (_ (_ tptp.nth_message_p_v _let_2) _let_1))))))))) % 152.83/153.27 (define tptp.ord_less_eq_nat () (let ((_let_1 (@var "N4" tptp.nat))) (let ((_let_2 (@var "M5" tptp.nat))) (lambda (@list _let_2 _let_1) (or (_ (_ tptp.ord_less_nat _let_2) _let_1) (= _let_2 _let_1)))))) % 152.83/153.27 (define tptp.enabled_p_v_s () (let ((_let_1 (@var "Msg4" tptp.message_p_v))) (let ((_let_2 (@var "Cfg2" tptp.config256849571t_unit))) (lambda (@list _let_2 _let_1) (_ (_ tptp.ord_less_nat tptp.zero_zero_nat) (_ (_ tptp.msgs_p1029620568t_unit _let_2) _let_1)))))) % 152.83/153.27 (define @t1 () (_ tptp.ord_less_nat tptp.nMsg)) % 152.83/153.27 (define @t2 () (not (_ @t1 tptp.n1))) % 152.83/153.27 (define @t3 () (_ tptp.fe tptp.index)) % 152.83/153.27 (define @t4 () (_ tptp.size_s1406904903t_unit @t3)) % 152.83/153.27 (define @t5 () (_ @t1 @t4)) % 152.83/153.27 (define @t6 () (_ tptp.fe tptp.n)) % 152.83/153.27 (define @t7 () (_ tptp.size_s1406904903t_unit @t6)) % 152.83/153.27 (define @t8 () (@var "Xs" tptp.list_c1059388851t_unit)) % 152.83/153.27 (define @t9 () (@var "P" (-> tptp.list_c1059388851t_unit Bool))) % 152.83/153.27 (define @t10 () (@var "Xs2" tptp.list_c1059388851t_unit)) % 152.83/153.27 (define @t11 () (@var "Ys" tptp.list_c1059388851t_unit)) % 152.83/153.27 (define @t12 () (_ tptp.size_s1406904903t_unit @t10)) % 152.83/153.27 (define @t13 () (@list @t10)) % 152.83/153.27 (define @t14 () (@var "Xs" tptp.list_message_p_v)) % 152.83/153.27 (define @t15 () (@var "P" (-> tptp.list_message_p_v Bool))) % 152.83/153.27 (define @t16 () (@var "Xs2" tptp.list_message_p_v)) % 152.83/153.27 (define @t17 () (@var "Ys" tptp.list_message_p_v)) % 152.83/153.27 (define @t18 () (_ tptp.size_s1168481041ge_p_v @t16)) % 152.83/153.27 (define @t19 () (@list @t16)) % 152.83/153.27 (define @t20 () (@var "I" tptp.nat)) % 152.83/153.27 (define @t21 () (_ tptp.suc tptp.index)) % 152.83/153.27 (define @t22 () (_ tptp.fe @t21)) % 152.83/153.27 (define @t23 () (_ tptp.nth_co1649820636t_unit @t22)) % 152.83/153.27 (define @t24 () (_ @t23 @t20)) % 152.83/153.27 (define @t25 () (_ tptp.ord_less_nat @t20)) % 152.83/153.27 (define @t26 () (@list @t20)) % 152.83/153.27 (define @t27 () (@var "N" tptp.nat)) % 152.83/153.27 (define @t28 () (@list @t27)) % 152.83/153.27 (define @t29 () (@var "Ys2" tptp.list_c1059388851t_unit)) % 152.83/153.27 (define @t30 () (= @t8 @t29)) % 152.83/153.27 (define @t31 () (_ tptp.size_s1406904903t_unit @t8)) % 152.83/153.27 (define @t32 () (= @t31 (_ tptp.size_s1406904903t_unit @t29))) % 152.83/153.27 (define @t33 () (@list @t8 @t29)) % 152.83/153.27 (define @t34 () (@var "Ys2" tptp.list_message_p_v)) % 152.83/153.27 (define @t35 () (= @t14 @t34)) % 152.83/153.27 (define @t36 () (_ tptp.size_s1168481041ge_p_v @t14)) % 152.83/153.27 (define @t37 () (= @t36 (_ tptp.size_s1168481041ge_p_v @t34))) % 152.83/153.27 (define @t38 () (@list @t14 @t34)) % 152.83/153.27 (define @t39 () (@var "Y" tptp.list_c1059388851t_unit)) % 152.83/153.27 (define @t40 () (@var "X" tptp.list_c1059388851t_unit)) % 152.83/153.27 (define @t41 () (@var "Y" tptp.list_message_p_v)) % 152.83/153.27 (define @t42 () (@var "X" tptp.list_message_p_v)) % 152.83/153.27 (define @t43 () (@var "M" tptp.nat)) % 152.83/153.27 (define @t44 () (_ tptp.ord_less_nat @t27)) % 152.83/153.27 (define @t45 () (_ @t44 @t43)) % 152.83/153.27 (define @t46 () (_ tptp.ord_less_nat @t43)) % 152.83/153.27 (define @t47 () (_ @t46 @t27)) % 152.83/153.27 (define @t48 () (= @t43 @t27)) % 152.83/153.27 (define @t49 () (not @t48)) % 152.83/153.27 (define @t50 () (@list @t43 @t27)) % 152.83/153.27 (define @t51 () (@list @t27 @t43)) % 152.83/153.27 (define @t52 () (@var "T" tptp.nat)) % 152.83/153.27 (define @t53 () (@var "S" tptp.nat)) % 152.83/153.27 (define @t54 () (@var "Y2" tptp.nat)) % 152.83/153.27 (define @t55 () (@var "X2" tptp.nat)) % 152.83/153.27 (define @t56 () (_ tptp.suc @t55)) % 152.83/153.27 (define @t57 () (@var "Nat2" tptp.nat)) % 152.83/153.27 (define @t58 () (@var "Nat" tptp.nat)) % 152.83/153.27 (define @t59 () (_ tptp.suc @t57)) % 152.83/153.27 (define @t60 () (_ tptp.suc @t27)) % 152.83/153.27 (define @t61 () (_ tptp.suc @t43)) % 152.83/153.27 (define @t62 () (_ tptp.ord_less_nat @t61)) % 152.83/153.27 (define @t63 () (_ @t62 @t60)) % 152.83/153.27 (define @t64 () (@var "Y" tptp.nat)) % 152.83/153.27 (define @t65 () (@var "X" tptp.nat)) % 152.83/153.27 (define @t66 () (= @t65 @t64)) % 152.83/153.27 (define @t67 () (@list @t65 @t64)) % 152.83/153.27 (define @t68 () (_ @t44 @t61)) % 152.83/153.27 (define @t69 () (= @t68 (= @t27 @t43))) % 152.83/153.27 (define @t70 () (not @t45)) % 152.83/153.27 (define @t71 () (@var "I2" tptp.nat)) % 152.83/153.27 (define @t72 () (@var "P" (-> tptp.nat Bool))) % 152.83/153.27 (define @t73 () (_ @t72 @t71)) % 152.83/153.27 (define @t74 () (@var "I3" tptp.nat)) % 152.83/153.27 (define @t75 () (_ @t72 @t74)) % 152.83/153.27 (define @t76 () (_ tptp.suc @t74)) % 152.83/153.27 (define @t77 () (_ @t72 @t76)) % 152.83/153.27 (define @t78 () (@var "J" tptp.nat)) % 152.83/153.27 (define @t79 () (_ tptp.ord_less_nat @t74)) % 152.83/153.27 (define @t80 () (@list @t74)) % 152.83/153.27 (define @t81 () (_ tptp.ord_less_nat @t71)) % 152.83/153.27 (define @t82 () (_ @t81 @t78)) % 152.83/153.27 (define @t83 () (@list @t71 @t78 @t72)) % 152.83/153.27 (define @t84 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 152.83/153.27 (define @t85 () (@var "K" tptp.nat)) % 152.83/153.27 (define @t86 () (_ @t84 @t74)) % 152.83/153.27 (define @t87 () (@var "J2" tptp.nat)) % 152.83/153.27 (define @t88 () (_ @t79 @t87)) % 152.83/153.27 (define @t89 () (@var "K2" tptp.nat)) % 152.83/153.27 (define @t90 () (_ tptp.suc @t71)) % 152.83/153.27 (define @t91 () (_ tptp.ord_less_nat @t90)) % 152.83/153.27 (define @t92 () (_ @t91 @t89)) % 152.83/153.27 (define @t93 () (_ tptp.ord_less_nat @t78)) % 152.83/153.27 (define @t94 () (_ @t93 @t89)) % 152.83/153.27 (define @t95 () (@list @t71 @t78 @t89)) % 152.83/153.27 (define @t96 () (@var "M2" tptp.nat)) % 152.83/153.27 (define @t97 () (@var "I4" tptp.nat)) % 152.83/153.27 (define @t98 () (_ @t72 @t97)) % 152.83/153.27 (define @t99 () (_ tptp.ord_less_nat @t97)) % 152.83/153.27 (define @t100 () (_ @t99 @t27)) % 152.83/153.27 (define @t101 () (@list @t97)) % 152.83/153.27 (define @t102 () (_ @t72 @t27)) % 152.83/153.27 (define @t103 () (_ @t99 @t60)) % 152.83/153.27 (define @t104 () (forall @t101 (=> @t103 @t98))) % 152.83/153.27 (define @t105 () (@list @t27 @t72)) % 152.83/153.27 (define @t106 () (not @t47)) % 152.83/153.27 (define @t107 () (forall @t50 (= @t106 @t68))) % 152.83/153.27 (define @t108 () (or @t47 @t48)) % 152.83/153.27 (define @t109 () (_ @t46 @t60)) % 152.83/153.27 (define @t110 () (and @t100 @t98)) % 152.83/153.27 (define @t111 () (exists @t101 @t110)) % 152.83/153.27 (define @t112 () (or @t102 @t111)) % 152.83/153.27 (define @t113 () (and @t103 @t98)) % 152.83/153.27 (define @t114 () (exists @t101 @t113)) % 152.83/153.27 (define @t115 () (= @t114 @t112)) % 152.83/153.27 (define @t116 () (forall @t105 @t115)) % 152.83/153.27 (define @t117 () (_ @t62 @t27)) % 152.83/153.27 (define @t118 () (not (forall (@list @t87) (=> (_ @t81 @t87) (not (= @t89 (_ tptp.suc @t87))))))) % 152.83/153.27 (define @t119 () (@list @t71 @t89)) % 152.83/153.27 (define @t120 () (_ @t81 @t89)) % 152.83/153.27 (define @t121 () (@var "Ys3" tptp.list_c1059388851t_unit)) % 152.83/153.27 (define @t122 () (@var "Xs3" tptp.list_c1059388851t_unit)) % 152.83/153.27 (define @t123 () (_ tptp.nth_co1649820636t_unit @t122)) % 152.83/153.27 (define @t124 () (_ @t123 @t97)) % 152.83/153.27 (define @t125 () (_ tptp.size_s1406904903t_unit @t122)) % 152.83/153.27 (define @t126 () (@var "Z" tptp.list_c1059388851t_unit)) % 152.83/153.27 (define @t127 () (@var "Y3" tptp.list_c1059388851t_unit)) % 152.83/153.27 (define @t128 () (@var "Ys3" tptp.list_message_p_v)) % 152.83/153.27 (define @t129 () (@var "Xs3" tptp.list_message_p_v)) % 152.83/153.27 (define @t130 () (_ tptp.nth_message_p_v @t129)) % 152.83/153.27 (define @t131 () (_ @t130 @t97)) % 152.83/153.27 (define @t132 () (_ tptp.size_s1168481041ge_p_v @t129)) % 152.83/153.27 (define @t133 () (@var "Z" tptp.list_message_p_v)) % 152.83/153.27 (define @t134 () (@var "Y3" tptp.list_message_p_v)) % 152.83/153.27 (define @t135 () (@var "P" (-> tptp.nat tptp.config256849571t_unit Bool))) % 152.83/153.27 (define @t136 () (_ @t135 @t97)) % 152.83/153.27 (define @t137 () (_ @t99 @t89)) % 152.83/153.27 (define @t138 () (@list @t122)) % 152.83/153.27 (define @t139 () (@var "X3" tptp.config256849571t_unit)) % 152.83/153.27 (define @t140 () (@var "P" (-> tptp.nat tptp.message_p_v Bool))) % 152.83/153.27 (define @t141 () (_ @t140 @t97)) % 152.83/153.27 (define @t142 () (@list @t129)) % 152.83/153.27 (define @t143 () (@var "X3" tptp.message_p_v)) % 152.83/153.27 (define @t144 () (_ tptp.nth_co1649820636t_unit @t8)) % 152.83/153.27 (define @t145 () (_ tptp.nth_message_p_v @t14)) % 152.83/153.27 (define @t146 () (@var "F" (-> tptp.nat tptp.nat))) % 152.83/153.27 (define @t147 () (_ @t146 @t27)) % 152.83/153.27 (define @t148 () (_ tptp.ord_less_nat @t147)) % 152.83/153.27 (define @t149 () (@var "N2" tptp.nat)) % 152.83/153.27 (define @t150 () (_ tptp.suc @t149)) % 152.83/153.27 (define @t151 () (_ @t146 @t150)) % 152.83/153.27 (define @t152 () (_ @t146 @t149)) % 152.83/153.27 (define @t153 () (@list @t149)) % 152.83/153.27 (define @t154 () (forall @t153 (_ (_ tptp.ord_less_nat @t152) @t151))) % 152.83/153.27 (define @t155 () (@var "A" tptp.message_p_v)) % 152.83/153.27 (define @t156 () (@var "P" (-> tptp.message_p_v Bool))) % 152.83/153.27 (define @t157 () (_ tptp.collect_message_p_v @t156)) % 152.83/153.27 (define @t158 () (@var "A2" tptp.set_message_p_v)) % 152.83/153.27 (define @t159 () (@var "X4" tptp.message_p_v)) % 152.83/153.27 (define @t160 () (@var "Q" (-> tptp.message_p_v Bool))) % 152.83/153.27 (define @t161 () (@var "X5" tptp.message_p_v)) % 152.83/153.27 (define @t162 () (@var "N3" tptp.nat)) % 152.83/153.27 (define @t163 () (_ @t146 @t162)) % 152.83/153.27 (define @t164 () (@list @t146 @t27 @t162)) % 152.83/153.27 (define @t165 () (@var "M3" tptp.nat)) % 152.83/153.27 (define @t166 () (_ @t72 @t165)) % 152.83/153.27 (define @t167 () (_ (_ tptp.ord_less_nat @t165) @t149)) % 152.83/153.27 (define @t168 () (@list @t165)) % 152.83/153.27 (define @t169 () (_ @t72 @t149)) % 152.83/153.27 (define @t170 () (=> (not @t169) (exists @t168 (and @t167 (not @t166))))) % 152.83/153.27 (define @t171 () (@list @t72 @t27)) % 152.83/153.27 (define @t172 () (_ tptp.firstOccSet tptp.index)) % 152.83/153.27 (define @t173 () (@var "MsgInSet" tptp.message_p_v)) % 152.83/153.27 (define @t174 () (_ tptp.member_message_p_v @t173)) % 152.83/153.27 (define @t175 () (_ tptp.suc @t20)) % 152.83/153.27 (define @t176 () (_ tptp.nth_co1649820636t_unit @t6)) % 152.83/153.27 (define @t177 () (_ tptp.ft @t21)) % 152.83/153.27 (define @t178 () (_ (_ tptp.firstO1414030372_p_v_s @t22) @t177)) % 152.83/153.27 (define @t179 () (@list @t156)) % 152.83/153.27 (define @t180 () (@var "P" (-> tptp.config256849571t_unit Bool))) % 152.83/153.27 (define @t181 () (@list @t180)) % 152.83/153.27 (define @t182 () (_ tptp.size_s1168481041ge_p_v @t177)) % 152.83/153.27 (define @t183 () (_ tptp.ft tptp.index)) % 152.83/153.27 (define @t184 () (_ tptp.size_s1168481041ge_p_v @t183)) % 152.83/153.27 (define @t185 () (_ tptp.remdup949903207t_unit @t8)) % 152.83/153.27 (define @t186 () (_ tptp.nth_co1649820636t_unit @t185)) % 152.83/153.27 (define @t187 () (_ tptp.size_s1406904903t_unit @t185)) % 152.83/153.27 (define @t188 () (_ tptp.remdup74979931ge_p_v @t14)) % 152.83/153.27 (define @t189 () (_ tptp.nth_message_p_v @t188)) % 152.83/153.27 (define @t190 () (_ tptp.size_s1168481041ge_p_v @t188)) % 152.83/153.27 (define @t191 () (_ tptp.tl_con485597044t_unit @t8)) % 152.83/153.27 (define @t192 () (_ tptp.size_s1406904903t_unit @t191)) % 152.83/153.27 (define @t193 () (_ tptp.tl_message_p_v @t14)) % 152.83/153.27 (define @t194 () (_ tptp.size_s1168481041ge_p_v @t193)) % 152.83/153.27 (define @t195 () (= @t8 tptp.nil_co1338500125t_unit)) % 152.83/153.27 (define @t196 () (not @t195)) % 152.83/153.27 (define @t197 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) % 152.83/153.27 (define @t198 () (@list @t8)) % 152.83/153.27 (define @t199 () (= @t14 tptp.nil_message_p_v)) % 152.83/153.27 (define @t200 () (not @t199)) % 152.83/153.27 (define @t201 () (@list @t14)) % 152.83/153.27 (define @t202 () (@var "A7" tptp.nat)) % 152.83/153.27 (define @t203 () (@var "A6" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) % 152.83/153.27 (define @t204 () (@var "A5" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) % 152.83/153.27 (define @t205 () (@var "A4" tptp.config256849571t_unit)) % 152.83/153.27 (define @t206 () (@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))) % 152.83/153.27 (define @t207 () (@var "FStepMsg" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) % 152.83/153.27 (define @t208 () (@var "FStepCfg" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) % 152.83/153.27 (define @t209 () (@var "Cfg" tptp.config256849571t_unit)) % 152.83/153.27 (define @t210 () (_ (_ (_ @t206 @t209) @t208) @t207)) % 152.83/153.27 (define @t211 () (_ @t210 @t149)) % 152.83/153.27 (define @t212 () (@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))) % 152.83/153.27 (define @t213 () (_ (_ (_ @t212 @t209) @t208) @t207)) % 152.83/153.27 (define @t214 () (_ @t213 @t149)) % 152.83/153.27 (define @t215 () (@list @t209 @t208 @t207 @t149)) % 152.83/153.27 (define @t216 () (forall @t215 (=> @t214 (=> @t211 (_ @t210 @t150))))) % 152.83/153.27 (define @t217 () (@list @t209 @t208 @t207)) % 152.83/153.27 (define @t218 () (forall @t217 (_ @t210 tptp.zero_zero_nat))) % 152.83/153.27 (define @t219 () (forall @t215 (=> @t214 (=> @t211 (_ @t213 @t150))))) % 152.83/153.27 (define @t220 () (forall @t217 (_ @t213 tptp.zero_zero_nat))) % 152.83/153.27 (define @t221 () (@var "A3" tptp.nat)) % 152.83/153.27 (define @t222 () (@var "A22" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) % 152.83/153.27 (define @t223 () (@var "A1" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) % 152.83/153.27 (define @t224 () (@var "A0" tptp.config256849571t_unit)) % 152.83/153.27 (define @t225 () (_ @t178 tptp.msg)) % 152.83/153.27 (define @t226 () (_ (_ tptp.nth_message_p_v @t177) @t20)) % 152.83/153.27 (define @t227 () (_ @t197 @t27)) % 152.83/153.27 (define @t228 () (= @t27 tptp.zero_zero_nat)) % 152.83/153.27 (define @t229 () (not @t228)) % 152.83/153.27 (define @t230 () (@var "A" tptp.nat)) % 152.83/153.27 (define @t231 () (= @t230 tptp.zero_zero_nat)) % 152.83/153.27 (define @t232 () (@list @t230)) % 152.83/153.27 (define @t233 () (_ (_ tptp.minimalEnabled_p_v_s @t3) @t183)) % 152.83/153.27 (define @t234 () (@var "NMsg" tptp.nat)) % 152.83/153.27 (define @t235 () (_ tptp.suc tptp.zero_zero_nat)) % 152.83/153.27 (define @t236 () (@var "N0" tptp.nat)) % 152.83/153.27 (define @t237 () (@var "N5" tptp.nat)) % 152.83/153.27 (define @t238 () (_ tptp.ft @t237)) % 152.83/153.27 (define @t239 () (_ tptp.ft tptp.n)) % 152.83/153.27 (define @t240 () (_ tptp.size_s1168481041ge_p_v @t239)) % 152.83/153.27 (define @t241 () (_ tptp.ord_less_nat @t236)) % 152.83/153.27 (define @t242 () (@list @t236)) % 152.83/153.27 (define @t243 () (_ tptp.ord_less_eq_nat tptp.n)) % 152.83/153.27 (define @t244 () (@list @t237)) % 152.83/153.27 (define @t245 () (_ tptp.last_c571238084t_unit @t3)) % 152.83/153.27 (define @t246 () (_ (_ tptp.enabled_p_v_s (_ tptp.last_c571238084t_unit @t6)) tptp.msg)) % 152.83/153.27 (define @t247 () (@var "M4" tptp.nat)) % 152.83/153.27 (define @t248 () (_ tptp.suc @t247)) % 152.83/153.27 (define @t249 () (@list @t247)) % 152.83/153.27 (define @t250 () (exists @t249 (= @t27 @t248))) % 152.83/153.27 (define @t251 () (@var "Nat3" tptp.nat)) % 152.83/153.27 (define @t252 () (_ tptp.suc @t251)) % 152.83/153.27 (define @t253 () (@list @t251)) % 152.83/153.27 (define @t254 () (_ @t72 tptp.zero_zero_nat)) % 152.83/153.27 (define @t255 () (@list @t43)) % 152.83/153.27 (define @t256 () (_ @t72 @t150)) % 152.83/153.27 (define @t257 () (=> @t256 @t169)) % 152.83/153.27 (define @t258 () (forall @t153 @t257)) % 152.83/153.27 (define @t259 () (_ @t72 @t89)) % 152.83/153.27 (define @t260 () (@var "Y4" tptp.nat)) % 152.83/153.27 (define @t261 () (_ tptp.suc @t260)) % 152.83/153.27 (define @t262 () (@var "X5" tptp.nat)) % 152.83/153.27 (define @t263 () (_ @t84 @t262)) % 152.83/153.27 (define @t264 () (@list @t260)) % 152.83/153.27 (define @t265 () (@list @t262)) % 152.83/153.27 (define @t266 () (=> @t169 @t256)) % 152.83/153.27 (define @t267 () (@list @t57)) % 152.83/153.27 (define @t268 () (_ @t197 @t149)) % 152.83/153.27 (define @t269 () (_ tptp.ord_less_nat @t230)) % 152.83/153.27 (define @t270 () (@var "J3" tptp.nat)) % 152.83/153.27 (define @t271 () (_ @t72 (_ tptp.suc @t97))) % 152.83/153.27 (define @t272 () (@var "M5" tptp.nat)) % 152.83/153.27 (define @t273 () (@var "Msg" tptp.message_p_v)) % 152.83/153.27 (define @t274 () (_ @t233 @t273)) % 152.83/153.27 (define @t275 () (@list @t273)) % 152.83/153.27 (define @t276 () (@var "N02" tptp.nat)) % 152.83/153.27 (define @t277 () (@var "N6" tptp.nat)) % 152.83/153.27 (define @t278 () (_ tptp.ft @t277)) % 152.83/153.27 (define @t279 () (_ tptp.ord_less_nat @t276)) % 152.83/153.27 (define @t280 () (_ tptp.ord_less_eq_nat tptp.n0)) % 152.83/153.27 (define @t281 () (_ @t280 @t276)) % 152.83/153.27 (define @t282 () (@list @t276)) % 152.83/153.27 (define @t283 () (_ tptp.nth_message_p_v @t239)) % 152.83/153.27 (define @t284 () (@var "Msg2" tptp.message_p_v)) % 152.83/153.27 (define @t285 () (_ tptp.ft @t27)) % 152.83/153.27 (define @t286 () (@var "N1" tptp.nat)) % 152.83/153.27 (define @t287 () (_ tptp.ord_less_eq_nat @t286)) % 152.83/153.27 (define @t288 () (@var "N22" tptp.nat)) % 152.83/153.27 (define @t289 () (_ tptp.fe @t27)) % 152.83/153.27 (define @t290 () (_ tptp.nth_co1649820636t_unit @t289)) % 152.83/153.27 (define @t291 () (_ (_ tptp.ord_less_eq_nat @t184) @t20)) % 152.83/153.27 (define @t292 () (_ @t25 @t182)) % 152.83/153.27 (define @t293 () (= tptp.msg @t226)) % 152.83/153.27 (define @t294 () (_ tptp.ord_less_eq_nat @t27)) % 152.83/153.27 (define @t295 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 152.83/153.27 (define @t296 () (_ @t294 @t43)) % 152.83/153.27 (define @t297 () (_ tptp.ord_less_eq_nat @t60)) % 152.83/153.27 (define @t298 () (@var "OccM2" tptp.nat)) % 152.83/153.27 (define @t299 () (@var "OccM" tptp.nat)) % 152.83/153.27 (define @t300 () (@var "Msg3" tptp.message_p_v)) % 152.83/153.27 (define @t301 () (_ (_ tptp.firstO1414030372_p_v_s @t3) @t183)) % 152.83/153.27 (define @t302 () (_ tptp.last_message_p_v @t14)) % 152.83/153.27 (define @t303 () (_ tptp.last_c571238084t_unit @t8)) % 152.83/153.27 (define @t304 () (exists @t282 (and @t281 (_ @t279 @t240) (= (_ @t283 @t276) tptp.msg)))) % 152.83/153.27 (define @t305 () (@list @t65)) % 152.83/153.27 (define @t306 () (_ @t294 @t162)) % 152.83/153.27 (define @t307 () (@var "Y5" tptp.nat)) % 152.83/153.27 (define @t308 () (@var "B" tptp.nat)) % 152.83/153.27 (define @t309 () (_ tptp.ord_less_eq_nat @t43)) % 152.83/153.27 (define @t310 () (_ @t309 @t27)) % 152.83/153.27 (define @t311 () (_ tptp.ord_less_eq_nat @t71)) % 152.83/153.27 (define @t312 () (=> (_ (_ tptp.ord_less_eq_nat @t78) @t89) (_ @t311 @t89))) % 152.83/153.27 (define @t313 () (_ @t311 @t78)) % 152.83/153.27 (define @t314 () (=> @t313 @t312)) % 152.83/153.27 (define @t315 () (forall @t95 @t314)) % 152.83/153.27 (define @t316 () (_ tptp.ord_less_eq_nat @t230)) % 152.83/153.27 (define @t317 () (_ @t316 tptp.zero_zero_nat)) % 152.83/153.27 (define @t318 () (_ (_ tptp.ord_less_eq_nat @t61) @t27)) % 152.83/153.27 (define @t319 () (= @t43 @t60)) % 152.83/153.27 (define @t320 () (not @t310)) % 152.83/153.27 (define @t321 () (_ @t309 @t60)) % 152.83/153.27 (define @t322 () (@var "M6" tptp.nat)) % 152.83/153.27 (define @t323 () (@var "R" (-> tptp.nat tptp.nat Bool))) % 152.83/153.27 (define @t324 () (@var "Z2" tptp.nat)) % 152.83/153.27 (define @t325 () (_ @t323 @t262)) % 152.83/153.27 (define @t326 () (@var "N4" tptp.nat)) % 152.83/153.27 (define @t327 () (= @t272 @t326)) % 152.83/153.27 (define @t328 () (not @t327)) % 152.83/153.27 (define @t329 () (and (_ (_ tptp.ord_less_eq_nat @t272) @t326) @t328)) % 152.83/153.27 (define @t330 () (@list @t272 @t326)) % 152.83/153.27 (define @t331 () (lambda @t330 @t329)) % 152.83/153.27 (define @t332 () (= tptp.ord_less_nat @t331)) % 152.83/153.27 (define @t333 () (not (_ @t72 @t20))) % 152.83/153.27 (define @t334 () (@list @t85)) % 152.83/153.27 (define @t335 () (not @t254)) % 152.83/153.27 (define @t336 () (_ @t72 @t78)) % 152.83/153.27 (define @t337 () (_ tptp.ord_less_nat @t149)) % 152.83/153.27 (define @t338 () (_ @t337 @t78)) % 152.83/153.27 (define @t339 () (_ @t311 @t149)) % 152.83/153.27 (define @t340 () (@var "__flatten_var_0" tptp.nat)) % 152.83/153.27 (define @t341 () (_ tptp.ord_less_eq_nat @t235)) % 152.83/153.27 (define @t342 () (_ tptp.minus_minus_nat @t4)) % 152.83/153.27 (define @t343 () (@var "N7" tptp.nat)) % 152.83/153.27 (define @t344 () (_ tptp.fe @t343)) % 152.83/153.27 (define @t345 () (_ tptp.msgs_p1029620568t_unit (_ tptp.last_c571238084t_unit @t344))) % 152.83/153.27 (define @t346 () (@var "N03" tptp.nat)) % 152.83/153.27 (define @t347 () (@var "X6" tptp.message_p_v)) % 152.83/153.27 (define @t348 () (@var "Index" tptp.nat)) % 152.83/153.27 (define @t349 () (@var "L2" tptp.list_c1059388851t_unit)) % 152.83/153.27 (define @t350 () (@var "L1" tptp.list_c1059388851t_unit)) % 152.83/153.27 (define @t351 () (_ tptp.size_s1406904903t_unit @t350)) % 152.83/153.27 (define @t352 () (_ tptp.ord_less_nat @t348)) % 152.83/153.27 (define @t353 () (@list @t348)) % 152.83/153.27 (define @t354 () (_ tptp.prefix1615116500t_unit @t350)) % 152.83/153.27 (define @t355 () (_ @t354 @t349)) % 152.83/153.27 (define @t356 () (@list @t350 @t349)) % 152.83/153.27 (define @t357 () (@var "L2" tptp.list_message_p_v)) % 152.83/153.27 (define @t358 () (@var "L1" tptp.list_message_p_v)) % 152.83/153.27 (define @t359 () (_ tptp.size_s1168481041ge_p_v @t358)) % 152.83/153.27 (define @t360 () (_ tptp.prefix47729710ge_p_v @t358)) % 152.83/153.27 (define @t361 () (_ @t360 @t357)) % 152.83/153.27 (define @t362 () (@list @t358 @t357)) % 152.83/153.27 (define @t363 () (_ tptp.minus_minus_nat @t230)) % 152.83/153.27 (define @t364 () (_ tptp.minus_minus_nat tptp.zero_zero_nat)) % 152.83/153.27 (define @t365 () (_ tptp.minus_minus_nat @t43)) % 152.83/153.27 (define @t366 () (_ @t365 @t27)) % 152.83/153.27 (define @t367 () (_ tptp.minus_minus_nat @t61)) % 152.83/153.27 (define @t368 () (_ @t367 @t27)) % 152.83/153.27 (define @t369 () (_ tptp.minus_minus_nat @t27)) % 152.83/153.27 (define @t370 () (_ @t369 @t43)) % 152.83/153.27 (define @t371 () (= @t366 tptp.zero_zero_nat)) % 152.83/153.27 (define @t372 () (@var "C" tptp.nat)) % 152.83/153.27 (define @t373 () (_ @t363 @t372)) % 152.83/153.27 (define @t374 () (@list @t230 @t372 @t308)) % 152.83/153.27 (define @t375 () (@var "L" tptp.nat)) % 152.83/153.27 (define @t376 () (_ tptp.minus_minus_nat @t375)) % 152.83/153.27 (define @t377 () (_ @t376 @t43)) % 152.83/153.27 (define @t378 () (_ @t376 @t27)) % 152.83/153.27 (define @t379 () (@list @t43 @t27 @t375)) % 152.83/153.27 (define @t380 () (_ tptp.ord_less_eq_nat @t308)) % 152.83/153.27 (define @t381 () (_ tptp.minus_minus_nat @t372)) % 152.83/153.27 (define @t382 () (_ @t369 @t89)) % 152.83/153.27 (define @t383 () (_ @t365 @t89)) % 152.83/153.27 (define @t384 () (_ tptp.ord_less_eq_nat @t89)) % 152.83/153.27 (define @t385 () (_ @t384 @t27)) % 152.83/153.27 (define @t386 () (_ @t384 @t43)) % 152.83/153.27 (define @t387 () (@list @t89 @t43 @t27)) % 152.83/153.27 (define @t388 () (_ tptp.minus_minus_nat @t71)) % 152.83/153.27 (define @t389 () (_ tptp.ord_less_nat @t366)) % 152.83/153.27 (define @t390 () (_ @t365 @t60)) % 152.83/153.27 (define @t391 () (@var "N04" tptp.nat)) % 152.83/153.27 (define @t392 () (_ @t72 @t391)) % 152.83/153.27 (define @t393 () (@list @t391)) % 152.83/153.27 (define @t394 () (@var "X_1" tptp.nat)) % 152.83/153.27 (define @t395 () (exists (@list @t394) (_ @t72 @t394))) % 152.83/153.27 (define @t396 () (@list @t72)) % 152.83/153.27 (define @t397 () (@var "L3" tptp.list_c1059388851t_unit)) % 152.83/153.27 (define @t398 () (@var "L3" tptp.list_message_p_v)) % 152.83/153.27 (define @t399 () (@var "Q" (-> tptp.nat Bool))) % 152.83/153.27 (define @t400 () (@var "Low" tptp.nat)) % 152.83/153.27 (define @t401 () (_ tptp.ord_less_eq_nat @t400)) % 152.83/153.27 (define @t402 () (@var "Pr" (-> tptp.nat Bool))) % 152.83/153.27 (define @t403 () (_ tptp.ord_less_eq_nat (_ @t342 tptp.one_one_nat))) % 152.83/153.27 (define @t404 () (_ @t403 @t20)) % 152.83/153.27 (define @t405 () (_ tptp.size_s1406904903t_unit @t22)) % 152.83/153.27 (define @t406 () (_ (_ tptp.minus_minus_nat @t405) tptp.one_one_nat)) % 152.83/153.27 (define @t407 () (_ (_ tptp.minus_minus_nat @t31) tptp.one_one_nat)) % 152.83/153.27 (define @t408 () (_ (_ tptp.minus_minus_nat @t36) tptp.one_one_nat)) % 152.83/153.27 (define @t409 () (_ @t369 tptp.one_one_nat)) % 152.83/153.27 (define @t410 () (_ tptp.suc @t409)) % 152.83/153.27 (define @t411 () (@var "P" Bool)) % 152.83/153.27 (define @t412 () (not (_ (_ tptp.ord_less_nat tptp.n1) @t4))) % 152.83/153.27 (define @t413 () (@var "P2" (-> tptp.config256849571t_unit Bool))) % 152.83/153.27 (define @t414 () (_ tptp.ord_less_nat @t326)) % 152.83/153.27 (define @t415 () (@list @t326)) % 152.83/153.27 (define @t416 () (lambda (@list @t413 @t122) (exists @t415 (and (_ @t414 @t125) (_ @t413 (_ @t123 @t326)))))) % 152.83/153.27 (define @t417 () (@var "P2" (-> tptp.message_p_v Bool))) % 152.83/153.27 (define @t418 () (lambda (@list @t417 @t129) (exists @t415 (and (_ @t414 @t132) (_ @t417 (_ @t130 @t326)))))) % 152.83/153.27 (define @t419 () (_ (_ tptp.ord_less_nat @t272) @t326)) % 152.83/153.27 (define @t420 () (or @t419 @t327)) % 152.83/153.27 (define @t421 () (lambda @t330 @t420)) % 152.83/153.27 (define @t422 () (@var "Msg4" tptp.message_p_v)) % 152.83/153.27 (define @t423 () (@var "Cfg2" tptp.config256849571t_unit)) % 152.83/153.27 (define @t424 () (lambda (@list @t423 @t422) (_ @t197 (_ (_ tptp.msgs_p1029620568t_unit @t423) @t422)))) % 152.83/153.27 (define @t425 () (_ (@const 3 (-> (@ho-elim-sort (-> tptp.list_c1059388851t_unit tptp.nat)) tptp.list_c1059388851t_unit tptp.nat)) (@const 2 (@ho-elim-sort (-> tptp.list_c1059388851t_unit tptp.nat))) (_ (@const 1 (-> (@ho-elim-sort (-> tptp.nat tptp.list_c1059388851t_unit)) tptp.nat tptp.list_c1059388851t_unit)) (@const 0 (@ho-elim-sort (-> tptp.nat tptp.list_c1059388851t_unit))) tptp.index))) % 152.83/153.27 (define @t426 () (@const 4 (@ho-elim-sort (-> tptp.nat tptp.nat Bool)))) % 152.83/153.27 (define @t427 () (@const 5 (-> (@ho-elim-sort (-> tptp.nat tptp.nat Bool)) tptp.nat (@ho-elim-sort (-> tptp.nat Bool))))) % 152.83/153.27 (define @t428 () (_ @t427 @t426 tptp.nMsg)) % 152.83/153.27 (define @t429 () (@const 6 (-> (@ho-elim-sort (-> tptp.nat Bool)) tptp.nat Bool))) % 152.83/153.27 (define @t430 () (_ @t429 @t428 @t425)) % 152.83/153.27 (define @t431 () (@var "BOUND_VARIABLE_15293" (@ho-elim-sort (-> tptp.nat Bool)))) % 152.83/153.27 (define @t432 () (not (_ @t429 @t431 @t97))) % 152.83/153.27 (define @t433 () (@const 7 (@ho-elim-sort (-> tptp.nat tptp.nat)))) % 152.83/153.27 (define @t434 () (@const 8 (-> (@ho-elim-sort (-> tptp.nat tptp.nat)) tptp.nat tptp.nat))) % 152.83/153.27 (define @t435 () (_ @t427 @t426 @t97)) % 152.83/153.27 (define @t436 () (not (forall @t101 (or (not (_ @t429 @t435 (_ @t434 @t433 @t27))) @t432)))) % 152.83/153.27 (define @t437 () (or (_ @t429 @t431 @t27) (not (forall @t101 (or (not (_ @t429 @t435 @t27)) @t432))))) % 152.83/153.27 (define @t438 () (forall (@list @t27 @t431) (= @t436 @t437))) % 152.83/153.27 (define @t439 () (_ @t72 @t97)) % 152.83/153.27 (define @t440 () (not @t439)) % 152.83/153.27 (define @t441 () (tptp.ord_less_nat @t97 @t27)) % 152.83/153.27 (define @t442 () (not (forall @t101 (or (not @t441) @t440)))) % 152.83/153.27 (define @t443 () (_ @t72 @t27)) % 152.83/153.27 (define @t444 () (tptp.suc @t27)) % 152.83/153.27 (define @t445 () (tptp.ord_less_nat @t97 @t444)) % 152.83/153.27 (define @t446 () (not (forall @t101 (or (not @t445) @t440)))) % 152.83/153.27 (define @t447 () (or @t102 @t442)) % 152.83/153.27 (define @t448 () (= @t446 @t447)) % 152.83/153.27 (define @t449 () (not @t98)) % 152.83/153.27 (define @t450 () (not @t100)) % 152.83/153.27 (define @t451 () (or @t450 @t449)) % 152.83/153.27 (define @t452 () (forall @t101 (not @t110))) % 152.83/153.27 (define @t453 () (not @t452)) % 152.83/153.27 (define @t454 () (not @t103)) % 152.83/153.27 (define @t455 () (or @t454 @t449)) % 152.83/153.27 (define @t456 () (forall @t101 (not @t113))) % 152.83/153.27 (define @t457 () (not @t456)) % 152.83/153.27 (define @t458 () (not (_ @t429 @t428 @t97))) % 152.83/153.27 (define @t459 () (forall @t101 (or (not (_ @t429 @t435 tptp.n1)) @t458))) % 152.83/153.27 (define @t460 () (@quantifiers_skolemize @t459 0)) % 152.83/153.27 (define @t461 () (_ @t429 (_ @t427 @t426 @t460) tptp.n1)) % 152.83/153.27 (define @t462 () (_ @t429 @t428 @t460)) % 152.83/153.27 (define @t463 () (not @t462)) % 152.83/153.27 (define @t464 () (not @t461)) % 152.83/153.27 (define @t465 () (or @t464 @t463)) % 152.83/153.27 (define @t466 () (and @t464 (not (= tptp.n1 @t460)))) % 152.83/153.27 (define @t467 () (and @t463 (not (= tptp.nMsg @t460)))) % 152.83/153.27 (define @t468 () (_ @t429 @t428 tptp.n1)) % 152.83/153.27 (define @t469 () (@const 9 (@ho-elim-sort (-> tptp.nat tptp.nat Bool)))) % 152.83/153.27 (define @t470 () (= @t426 @t469)) % 152.83/153.27 (define @t471 () (= tptp.ord_less_nat (@const 10 (-> tptp.nat tptp.nat Bool)))) % 152.83/153.27 (define @t472 () (= @t326 @t272)) % 152.83/153.27 (define @t473 () (or @t419 @t472)) % 152.83/153.27 (define @t474 () (lambda @t415 @t473)) % 152.83/153.27 (define @t475 () (lambda @t330 @t473)) % 152.83/153.27 (define @t476 () (_ @t475 @t272)) % 152.83/153.27 (define @t477 () (and (_ @t476 @t326) @t328)) % 152.83/153.27 (define @t478 () (lambda @t330 @t477)) % 152.83/153.27 (define @t479 () (_ @t427 @t426 tptp.n1)) % 152.83/153.27 (define @t480 () (_ @t429 @t479 @t425)) % 152.83/153.27 (define @t481 () (not @t480)) % 152.83/153.27 (define @t482 () (= tptp.n1 tptp.nMsg)) % 152.83/153.27 (define @t483 () (not @t482)) % 152.83/153.27 (define @t484 () (not @t470)) % 152.83/153.27 (define @t485 () (not @t430)) % 152.83/153.27 (define @t486 () (not @t481)) % 152.83/153.27 (define @t487 () (_ @t427 @t469 tptp.n1)) % 152.83/153.27 (define @t488 () (and @t430 @t470 @t482 @t481)) % 152.83/153.27 (define @t489 () (= @t71 @t89)) % 152.83/153.27 (define @t490 () (_ @t427 @t426 @t71)) % 152.83/153.27 (define @t491 () (= @t78 @t89)) % 152.83/153.27 (define @t492 () (not @t491)) % 152.83/153.27 (define @t493 () (= @t71 @t78)) % 152.83/153.27 (define @t494 () (not @t493)) % 152.83/153.27 (define @t495 () (forall @t95 (or (and (not (_ @t429 @t490 @t78)) @t494) (and (not (_ @t429 (_ @t427 @t426 @t78) @t89)) @t492) (_ @t429 @t490 @t89) @t489))) % 152.83/153.27 (define @t496 () (tptp.ord_less_nat @t71 @t89)) % 152.83/153.27 (define @t497 () (tptp.ord_less_nat @t78 @t89)) % 152.83/153.27 (define @t498 () (tptp.ord_less_nat @t71 @t78)) % 152.83/153.27 (define @t499 () (not @t94)) % 152.83/153.27 (define @t500 () (and @t499 @t492)) % 152.83/153.27 (define @t501 () (not @t82)) % 152.83/153.27 (define @t502 () (and @t501 @t494)) % 152.83/153.27 (define @t503 () (or @t502 @t500 @t120 @t489)) % 152.83/153.27 (define @t504 () (or @t500 @t120 @t489)) % 152.83/153.27 (define @t505 () (or @t120 @t489)) % 152.83/153.27 (define @t506 () (or @t94 @t491)) % 152.83/153.27 (define @t507 () (=> @t506 @t505)) % 152.83/153.27 (define @t508 () (or @t82 @t493)) % 152.83/153.27 (define @t509 () (_ @t81 @t326)) % 152.83/153.27 (define @t510 () (lambda @t415 (or @t509 (= @t71 @t326)))) % 152.83/153.27 (define @t511 () (or @t509 (= @t326 @t71))) % 152.83/153.27 (define @t512 () (lambda @t415 @t511)) % 152.83/153.27 (define @t513 () (_ @t475 @t71)) % 152.83/153.27 (define @t514 () (_ @t93 @t326)) % 152.83/153.27 (define @t515 () (or @t514 (= @t326 @t78))) % 152.83/153.27 (define @t516 () (lambda @t415 @t515)) % 152.83/153.27 (define @t517 () (_ @t475 @t78)) % 152.83/153.27 (define @t518 () (=> (_ @t517 @t89) (_ @t513 @t89))) % 152.83/153.27 (define @t519 () (=> (_ @t513 @t78) @t518)) % 152.83/153.27 (define @t520 () (not (= @t460 tptp.n1))) % 152.83/153.27 (define @t521 () (and @t464 @t520)) % 152.83/153.27 (define @t522 () (or @t467 @t521 @t468 (= tptp.nMsg tptp.n1))) % 152.83/153.27 (define @t523 () (or @t467 @t466 @t468 @t482)) % 152.83/153.27 (define @t524 () (@list false)) % 152.83/153.27 (define @t525 () (not @t465)) % 152.83/153.27 (define @t526 () (not @t459)) % 152.83/153.27 (define @t527 () (or @t468 @t526)) % 152.83/153.27 (define @t528 () (not @t527)) % 152.83/153.27 (define @t529 () (@list true false)) % 152.83/153.27 (define @t530 () (_ @t434 @t433 tptp.n1)) % 152.83/153.27 (define @t531 () (forall @t101 (or (not (_ @t429 @t435 @t530)) @t458))) % 152.83/153.27 (define @t532 () (not @t531)) % 152.83/153.27 (define @t533 () (= @t527 @t532)) % 152.83/153.27 (define @t534 () (not @t533)) % 152.83/153.27 (define @t535 () (_ @t429 (_ @t427 @t426 @t425) @t530)) % 152.83/153.27 (define @t536 () (not @t535)) % 152.83/153.27 (define @t537 () (or @t536 @t485)) % 152.83/153.27 (define @t538 () (tptp.suc @t43)) % 152.83/153.27 (define @t539 () (tptp.ord_less_nat @t27 @t538)) % 152.83/153.27 (define @t540 () (tptp.ord_less_nat @t43 @t27)) % 152.83/153.27 (define @t541 () (not @t540)) % 152.83/153.27 (define @t542 () (= @t68 @t106)) % 152.83/153.27 (define @t543 () (= @t481 @t535)) % 152.83/153.27 (define @t544 () (not @t543)) % 152.83/153.27 (assume @p1 @t2) % 152.83/153.27 (assume @p2 @t5) % 152.83/153.27 (assume @p3 (not (= @t3 tptp.nil_co1338500125t_unit))) % 152.83/153.27 (assume @p4 (_ (_ tptp.ord_less_nat tptp.n0) @t7)) % 152.83/153.27 (assume @p5 (forall (@list @t9 @t8) (=> (forall @t13 (=> (forall (@list @t11) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_s1406904903t_unit @t11)) @t12) (_ @t9 @t11))) (_ @t9 @t10))) (_ @t9 @t8)))) % 152.83/153.27 (assume @p6 (forall (@list @t15 @t14) (=> (forall @t19 (=> (forall (@list @t17) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_s1168481041ge_p_v @t17)) @t18) (_ @t15 @t17))) (_ @t15 @t16))) (_ @t15 @t14)))) % 152.83/153.27 (assume @p7 (forall @t26 (=> (_ @t25 @t4) (= (_ (_ tptp.nth_co1649820636t_unit @t3) @t20) @t24)))) % 152.83/153.27 (assume @p8 (forall @t28 (exists @t13 (= @t12 @t27)))) % 152.83/153.27 (assume @p9 (forall @t28 (exists @t19 (= @t18 @t27)))) % 152.83/153.27 (assume @p10 (forall @t33 (=> (not @t32) (not @t30)))) % 152.83/153.27 (assume @p11 (forall @t38 (=> (not @t37) (not @t35)))) % 152.83/153.27 (assume @p12 (forall (@list @t40 @t39) (=> (not (= (_ tptp.size_s1406904903t_unit @t40) (_ tptp.size_s1406904903t_unit @t39))) (not (= @t40 @t39))))) % 152.83/153.27 (assume @p13 (forall (@list @t42 @t41) (=> (not (= (_ tptp.size_s1168481041ge_p_v @t42) (_ tptp.size_s1168481041ge_p_v @t41))) (not (= @t42 @t41))))) % 152.83/153.27 (assume @p14 (forall @t50 (= @t49 (or @t47 @t45)))) % 152.83/153.27 (assume @p15 (forall @t28 (not (_ @t44 @t27)))) % 152.83/153.27 (assume @p16 (forall @t51 (=> @t45 @t49))) % 152.83/153.27 (assume @p17 (forall (@list @t53 @t52) (=> (_ (_ tptp.ord_less_nat @t53) @t52) (not (= @t53 @t52))))) % 152.83/153.27 (assume @p18 (forall (@list @t55 @t54) (= (= @t56 (_ tptp.suc @t54)) (= @t55 @t54)))) % 152.83/153.27 (assume @p19 (forall (@list @t58 @t57) (= (= (_ tptp.suc @t58) @t59) (= @t58 @t57)))) % 152.83/153.27 (assume @p20 (not (= @t22 tptp.nil_co1338500125t_unit))) % 152.83/153.27 (assume @p21 (forall @t50 (= @t63 @t47))) % 152.83/153.27 (assume @p22 (forall @t50 (=> @t47 @t63))) % 152.83/153.27 (assume @p23 (forall @t28 (_ @t44 @t60))) % 152.83/153.27 (assume @p24 (forall @t67 (=> (= (_ tptp.suc @t65) (_ tptp.suc @t64)) @t66))) % 152.83/153.27 (assume @p25 (forall @t28 (not (= @t27 @t60)))) % 152.83/153.27 (assume @p26 (forall @t51 (=> @t70 @t69))) % 152.83/153.27 (assume @p27 (forall @t83 (=> @t82 (=> (forall @t80 (=> (= @t78 @t76) @t75)) (=> (forall @t80 (=> (_ @t79 @t78) (=> @t77 @t75))) @t73))))) % 152.83/153.27 (assume @p28 (forall (@list @t71 @t78 @t84) (=> @t82 (=> (forall @t80 (_ @t86 @t76)) (=> (forall (@list @t74 @t87 @t85) (=> @t88 (=> (_ (_ tptp.ord_less_nat @t87) @t85) (=> (_ @t86 @t87) (=> (_ (_ @t84 @t87) @t85) (_ @t86 @t85)))))) (_ (_ @t84 @t71) @t78)))))) % 152.83/153.27 (assume @p29 (forall @t95 (=> @t82 (=> @t94 @t92)))) % 152.83/153.27 (assume @p30 (forall @t50 (=> @t63 @t47))) % 152.83/153.27 (assume @p31 (forall @t51 (=> @t70 (=> @t68 @t48)))) % 152.83/153.27 (assume @p32 (forall @t51 (= (_ (_ tptp.ord_less_nat @t60) @t43) (exists (@list @t96) (and (= @t43 (_ tptp.suc @t96)) (_ @t44 @t96)))))) % 152.83/153.27 (assume @p33 (forall @t105 (= @t104 (and @t102 (forall @t101 (=> @t100 @t98)))))) % 152.83/153.27 (assume @p34 @t107) % 152.83/153.27 (assume @p35 (forall @t50 (= @t109 @t108))) % 152.83/153.27 (assume @p36 @t116) % 152.83/153.27 (assume @p37 (forall @t50 (=> @t47 @t109))) % 152.83/153.27 (assume @p38 (forall @t50 (=> @t109 (=> @t106 @t48)))) % 152.83/153.27 (assume @p39 (forall @t50 (=> @t47 (=> (not (= @t61 @t27)) @t117)))) % 152.83/153.27 (assume @p40 (forall @t119 (=> @t92 @t118))) % 152.83/153.27 (assume @p41 (forall @t50 (=> @t117 @t47))) % 152.83/153.27 (assume @p42 (forall @t119 (=> @t120 (=> (not (= @t89 @t90)) @t118)))) % 152.83/153.27 (assume @p43 (= (lambda (@list @t127 @t126) (= @t127 @t126)) (lambda (@list @t122 @t121) (and (= @t125 (_ tptp.size_s1406904903t_unit @t121)) (forall @t101 (=> (_ @t99 @t125) (= @t124 (_ (_ tptp.nth_co1649820636t_unit @t121) @t97)))))))) % 152.83/153.27 (assume @p44 (= (lambda (@list @t134 @t133) (= @t134 @t133)) (lambda (@list @t129 @t128) (and (= @t132 (_ tptp.size_s1168481041ge_p_v @t128)) (forall @t101 (=> (_ @t99 @t132) (= @t131 (_ (_ tptp.nth_message_p_v @t128) @t97)))))))) % 152.83/153.27 (assume @p45 (forall (@list @t89 @t135) (= (forall @t101 (=> @t137 (exists (@list @t139) (_ @t136 @t139)))) (exists @t138 (and (= @t125 @t89) (forall @t101 (=> @t137 (_ @t136 @t124)))))))) % 152.83/153.27 (assume @p46 (forall (@list @t89 @t140) (= (forall @t101 (=> @t137 (exists (@list @t143) (_ @t141 @t143)))) (exists @t142 (and (= @t132 @t89) (forall @t101 (=> @t137 (_ @t141 @t131)))))))) % 152.83/153.27 (assume @p47 (forall @t33 (=> @t32 (=> (forall @t80 (=> (_ @t79 @t31) (= (_ @t144 @t74) (_ (_ tptp.nth_co1649820636t_unit @t29) @t74)))) @t30)))) % 152.83/153.27 (assume @p48 (forall @t38 (=> @t37 (=> (forall @t80 (=> (_ @t79 @t36) (= (_ @t145 @t74) (_ (_ tptp.nth_message_p_v @t34) @t74)))) @t35)))) % 152.83/153.27 (assume @p49 (forall (@list @t146 @t27 @t43) (=> @t154 (= (_ @t148 (_ @t146 @t43)) @t45)))) % 152.83/153.27 (assume @p50 (forall (@list @t155 @t156) (= (_ (_ tptp.member_message_p_v @t155) @t157) (_ @t156 @t155)))) % 152.83/153.27 (assume @p51 (forall (@list @t158) (= (_ tptp.collect_message_p_v (lambda (@list @t159) (_ (_ tptp.member_message_p_v @t159) @t158))) @t158))) % 152.83/153.27 (assume @p52 (forall (@list @t156 @t160) (=> (forall (@list @t161) (= (_ @t156 @t161) (_ @t160 @t161))) (= @t157 (_ tptp.collect_message_p_v @t160))))) % 152.83/153.27 (assume @p53 (forall @t164 (=> @t154 (=> (_ @t44 @t162) (_ @t148 @t163))))) % 152.83/153.27 (assume @p54 (forall @t67 (=> (not @t66) (=> (not (_ (_ tptp.ord_less_nat @t65) @t64)) (_ (_ tptp.ord_less_nat @t64) @t65))))) % 152.83/153.27 (assume @p55 (forall @t171 (=> (forall @t153 @t170) @t102))) % 152.83/153.27 (assume @p56 (forall @t171 (=> (forall @t153 (=> (forall @t168 (=> @t167 @t166)) @t169)) @t102))) % 152.83/153.27 (assume @p57 (forall (@list @t173) (=> (_ @t174 (_ tptp.firstOccSet @t21)) (_ @t174 @t172)))) % 152.83/153.27 (assume @p58 (forall @t26 (_ (_ tptp.prefix1615116500t_unit (_ tptp.fe @t20)) (_ tptp.fe @t175)))) % 152.83/153.27 (assume @p59 (_ (_ tptp.enabled_p_v_s (_ @t176 tptp.n0)) tptp.msg)) % 152.83/153.27 (assume @p60 (_ (_ @t178 tptp.consumedMsg) tptp.n1)) % 152.83/153.27 (assume @p61 (forall @t179 (not (_ (_ tptp.list_ex1_message_p_v @t156) tptp.nil_message_p_v)))) % 152.83/153.27 (assume @p62 (forall @t181 (not (_ (_ tptp.list_e1598815642t_unit @t180) tptp.nil_co1338500125t_unit)))) % 152.83/153.27 (assume @p63 (_ (_ tptp.ord_less_nat @t184) @t182)) % 152.83/153.27 (assume @p64 (forall (@list @t71 @t8) (=> (_ @t91 @t187) (not (= (_ @t186 @t71) (_ @t186 @t90)))))) % 152.83/153.27 (assume @p65 (forall (@list @t71 @t14) (=> (_ @t91 @t190) (not (= (_ @t189 @t71) (_ @t189 @t90)))))) % 152.83/153.27 (assume @p66 (forall (@list @t27 @t8) (=> (_ @t44 @t192) (= (_ (_ tptp.nth_co1649820636t_unit @t191) @t27) (_ @t144 @t60))))) % 152.83/153.27 (assume @p67 (forall (@list @t27 @t14) (=> (_ @t44 @t194) (= (_ (_ tptp.nth_message_p_v @t193) @t27) (_ @t145 @t60))))) % 152.83/153.27 (assume @p68 (forall @t198 (= (_ @t197 @t31) @t196))) % 152.83/153.27 (assume @p69 (forall @t201 (= (_ @t197 @t36) @t200))) % 152.83/153.27 (assume @p70 (forall (@list @t212 @t206 @t205 @t204 @t203 @t202) (=> @t220 (=> @t219 (=> @t218 (=> @t216 (_ (_ (_ (_ @t206 @t205) @t204) @t203) @t202))))))) % 152.83/153.27 (assume @p71 (forall (@list @t212 @t206 @t224 @t223 @t222 @t221) (=> @t220 (=> @t219 (=> @t218 (=> @t216 (_ (_ (_ (_ @t212 @t224) @t223) @t222) @t221))))))) % 152.83/153.27 (assume @p72 (_ @t225 tptp.nMsg)) % 152.83/153.27 (assume @p73 (_ (_ tptp.member_message_p_v tptp.consumedMsg) @t172)) % 152.83/153.27 (assume @p74 (forall @t26 (=> (_ @t25 @t184) (= (_ (_ tptp.nth_message_p_v @t183) @t20) @t226)))) % 152.83/153.27 (assume @p75 (forall @t28 (= @t229 @t227))) % 152.83/153.27 (assume @p76 (forall @t28 (not (_ @t44 tptp.zero_zero_nat)))) % 152.83/153.27 (assume @p77 (forall @t232 (= (not @t231) (_ @t197 @t230)))) % 152.83/153.27 (assume @p78 (_ @t233 tptp.consumedMsg)) % 152.83/153.27 (assume @p79 (forall @t201 (= (= @t188 tptp.nil_message_p_v) @t199))) % 152.83/153.27 (assume @p80 (forall @t198 (= (= @t185 tptp.nil_co1338500125t_unit) @t195))) % 152.83/153.27 (assume @p81 (forall @t179 (not (_ (_ tptp.list_ex_message_p_v @t156) tptp.nil_message_p_v)))) % 152.83/153.27 (assume @p82 (forall @t181 (not (_ (_ tptp.list_e581556831t_unit @t180) tptp.nil_co1338500125t_unit)))) % 152.83/153.27 (assume @p83 (forall (@list @t234) (=> (_ @t225 @t234) (_ (_ tptp.ord_less_nat @t234) @t4)))) % 152.83/153.27 (assume @p84 (forall @t28 (_ @t197 @t60))) % 152.83/153.27 (assume @p85 (forall @t28 (= (_ @t44 @t235) @t228))) % 152.83/153.27 (assume @p86 (forall @t198 (= (= @t31 tptp.zero_zero_nat) @t195))) % 152.83/153.27 (assume @p87 (forall @t201 (= (= @t36 tptp.zero_zero_nat) @t199))) % 152.83/153.27 (assume @p88 (forall @t244 (=> (_ @t243 @t237) (forall @t242 (=> (_ @t241 (_ tptp.size_s1168481041ge_p_v @t238)) (=> (_ (_ tptp.ord_less_eq_nat @t240) @t236) (not (= tptp.msg (_ (_ tptp.nth_message_p_v @t238) @t236))))))))) % 152.83/153.27 (assume @p89 (_ (_ tptp.enabled_p_v_s @t245) tptp.msg)) % 152.83/153.27 (assume @p90 @t246) % 152.83/153.27 (assume @p91 (= (_ tptp.remdup74979931ge_p_v tptp.nil_message_p_v) tptp.nil_message_p_v)) % 152.83/153.27 (assume @p92 (= (_ tptp.remdup949903207t_unit tptp.nil_co1338500125t_unit) tptp.nil_co1338500125t_unit)) % 152.83/153.27 (assume @p93 (= (_ tptp.tl_message_p_v tptp.nil_message_p_v) tptp.nil_message_p_v)) % 152.83/153.27 (assume @p94 (= (_ tptp.tl_con485597044t_unit tptp.nil_co1338500125t_unit) tptp.nil_co1338500125t_unit)) % 152.83/153.27 (assume @p95 (forall @t28 (=> @t229 @t250))) % 152.83/153.27 (assume @p96 (forall (@list @t72 @t58) (=> @t254 (=> (forall @t253 (=> (_ @t72 @t251) (_ @t72 @t252))) (_ @t72 @t58))))) % 152.83/153.27 (assume @p97 (forall (@list @t64) (=> (not (= @t64 tptp.zero_zero_nat)) (not (forall @t253 (not (= @t64 @t252))))))) % 152.83/153.27 (assume @p98 (forall @t255 (not (= tptp.zero_zero_nat @t61)))) % 152.83/153.27 (assume @p99 (forall @t255 (not (= @t61 tptp.zero_zero_nat)))) % 152.83/153.27 (assume @p100 (forall (@list @t72 @t89) (=> @t259 (=> @t258 @t254)))) % 152.83/153.27 (assume @p101 (forall (@list @t84 @t43 @t27) (=> (forall @t265 (_ @t263 tptp.zero_zero_nat)) (=> (forall @t264 (_ (_ @t84 tptp.zero_zero_nat) @t261)) (=> (forall (@list @t262 @t260) (=> (_ @t263 @t260) (_ (_ @t84 (_ tptp.suc @t262)) @t261))) (_ (_ @t84 @t43) @t27)))))) % 152.83/153.27 (assume @p102 (forall @t171 (=> @t254 (=> (forall @t153 @t266) @t102)))) % 152.83/153.27 (assume @p103 (forall (@list @t58 @t55) (=> (= @t58 @t56) (not (= @t58 tptp.zero_zero_nat))))) % 152.83/153.27 (assume @p104 (forall @t267 (not (= tptp.zero_zero_nat @t59)))) % 152.83/153.27 (assume @p105 (forall @t267 (not (= @t59 tptp.zero_zero_nat)))) % 152.83/153.27 (assume @p106 (forall (@list @t55) (not (= tptp.zero_zero_nat @t56)))) % 152.83/153.27 (assume @p107 (forall @t28 (=> @t229 @t227))) % 152.83/153.27 (assume @p108 (forall @t28 (= (not @t227) @t228))) % 152.83/153.27 (assume @p109 (forall @t50 (=> @t47 @t229))) % 152.83/153.27 (assume @p110 (forall @t171 (=> @t254 (=> (forall @t153 (=> @t268 @t170)) @t102)))) % 152.83/153.27 (assume @p111 (forall @t232 (not (_ @t269 tptp.zero_zero_nat)))) % 152.83/153.27 (assume @p112 (forall @t50 (= @t109 (or (= @t43 tptp.zero_zero_nat) (exists (@list @t270) (and (= @t43 (_ tptp.suc @t270)) (_ (_ tptp.ord_less_nat @t270) @t27))))))) % 152.83/153.27 (assume @p113 (forall @t28 (=> @t227 @t250))) % 152.83/153.27 (assume @p114 (forall @t105 (= @t104 (and @t254 (forall @t101 (=> @t100 @t271)))))) % 152.83/153.27 (assume @p115 (forall @t28 (= @t227 (exists (@list @t272) (= @t27 (_ tptp.suc @t272)))))) % 152.83/153.27 (assume @p116 (forall @t105 (= @t114 (or @t254 (exists @t101 (and @t100 @t271)))))) % 152.83/153.27 (assume @p117 (= (_ tptp.size_s1406904903t_unit tptp.nil_co1338500125t_unit) tptp.zero_zero_nat)) % 152.83/153.27 (assume @p118 (= (_ tptp.size_s1168481041ge_p_v tptp.nil_message_p_v) tptp.zero_zero_nat)) % 152.83/153.27 (assume @p119 (forall @t275 (=> @t274 (_ (_ tptp.member_message_p_v @t273) @t172)))) % 152.83/153.27 (assume @p120 (=> (exists @t242 (and (_ @t280 @t236) (_ @t241 @t240) (= (_ @t283 @t236) tptp.msg))) (exists (@list @t277) (and (_ @t243 @t277) (exists @t282 (and @t281 (_ @t279 (_ tptp.size_s1168481041ge_p_v @t278)) (= tptp.msg (_ (_ tptp.nth_message_p_v @t278) @t276)))))))) % 152.83/153.27 (assume @p121 (forall (@list @t286 @t288 @t27 @t284) (=> (and (_ @t287 @t288) (_ (_ tptp.ord_less_nat @t288) (_ tptp.size_s1406904903t_unit @t289)) (_ (_ tptp.enabled_p_v_s (_ @t290 @t286)) @t284)) (or (_ (_ tptp.enabled_p_v_s (_ @t290 @t288)) @t284) (exists @t282 (and (_ @t287 @t276) (_ @t279 (_ tptp.size_s1168481041ge_p_v @t285)) (= (_ (_ tptp.nth_message_p_v @t285) @t276) @t284))))))) % 152.83/153.27 (assume @p122 (forall @t26 (=> @t292 (=> @t291 (not (= @t226 tptp.msg)))))) % 152.83/153.27 (assume @p123 (not (exists @t26 (and @t292 @t291 @t293)))) % 152.83/153.27 (assume @p124 (= tptp.size_s1406904903t_unit (lambda @t138 (_ (_ (_ tptp.if_nat (= @t122 tptp.nil_co1338500125t_unit)) tptp.zero_zero_nat) (_ tptp.suc (_ tptp.size_s1406904903t_unit (_ tptp.tl_con485597044t_unit @t122))))))) % 152.83/153.27 (assume @p125 (= tptp.size_s1168481041ge_p_v (lambda @t142 (_ (_ (_ tptp.if_nat (= @t129 tptp.nil_message_p_v)) tptp.zero_zero_nat) (_ tptp.suc (_ tptp.size_s1168481041ge_p_v (_ tptp.tl_message_p_v @t129))))))) % 152.83/153.27 (assume @p126 (forall @t28 (= (_ @t294 tptp.zero_zero_nat) @t228))) % 152.83/153.27 (assume @p127 (forall @t232 (_ @t295 @t230))) % 152.83/153.27 (assume @p128 (forall @t28 (_ @t295 @t27))) % 152.83/153.27 (assume @p129 (forall @t51 (= (_ @t297 @t61) @t296))) % 152.83/153.27 (assume @p130 (_ (_ tptp.enabled_p_v_s (_ tptp.last_c571238084t_unit @t22)) tptp.msg)) % 152.83/153.27 (assume @p131 (forall @t275 (=> @t274 (exists (@list @t299) (and (_ (_ @t301 @t273) @t299) (forall (@list @t300 @t298) (=> (_ (_ @t301 @t300) @t298) (_ (_ tptp.ord_less_eq_nat @t299) @t298)))))))) % 152.83/153.27 (assume @p132 (forall @t201 (= (_ tptp.last_message_p_v @t188) @t302))) % 152.83/153.27 (assume @p133 (forall @t198 (= (_ tptp.last_c571238084t_unit @t185) @t303))) % 152.83/153.27 (assume @p134 (or @t246 @t304)) % 152.83/153.27 (assume @p135 (forall @t305 (_ @t295 @t65))) % 152.83/153.27 (assume @p136 (forall @t164 (=> (forall @t153 (_ (_ tptp.ord_less_eq_nat @t151) @t152)) (=> @t306 (_ (_ tptp.ord_less_eq_nat @t163) @t147))))) % 152.83/153.27 (assume @p137 (forall @t164 (=> (forall @t153 (_ (_ tptp.ord_less_eq_nat @t152) @t151)) (=> @t306 (_ (_ tptp.ord_less_eq_nat @t147) @t163))))) % 152.83/153.27 (assume @p138 (forall (@list @t72 @t89 @t308) (=> @t259 (=> (forall @t264 (=> (_ @t72 @t260) (_ (_ tptp.ord_less_eq_nat @t260) @t308))) (exists @t265 (and (_ @t72 @t262) (forall (@list @t307) (=> (_ @t72 @t307) (_ (_ tptp.ord_less_eq_nat @t307) @t262))))))))) % 152.83/153.27 (assume @p139 (forall @t50 (or @t310 @t296))) % 152.83/153.27 (assume @p140 (forall @t50 (=> @t310 (=> @t296 @t48)))) % 152.83/153.27 (assume @p141 (forall @t50 (=> @t48 @t310))) % 152.83/153.27 (assume @p142 @t315) % 152.83/153.27 (assume @p143 (forall @t28 (_ @t294 @t27))) % 152.83/153.27 (assume @p144 (forall @t232 (=> @t317 @t231))) % 152.83/153.27 (assume @p145 (forall @t232 (= @t317 @t231))) % 152.83/153.27 (assume @p146 (forall @t50 (=> @t318 @t310))) % 152.83/153.27 (assume @p147 (forall @t50 (=> @t321 (=> @t320 @t319)))) % 152.83/153.27 (assume @p148 (forall @t50 (=> @t310 @t321))) % 152.83/153.27 (assume @p149 (forall (@list @t27 @t322) (=> (_ @t297 @t322) (exists @t249 (= @t322 @t248))))) % 152.83/153.27 (assume @p150 (forall @t50 (= @t321 (or @t310 @t319)))) % 152.83/153.27 (assume @p151 (forall @t28 (not (_ @t297 @t27)))) % 152.83/153.27 (assume @p152 (forall @t50 (= @t320 (_ @t297 @t43)))) % 152.83/153.27 (assume @p153 (forall @t171 (=> (forall @t153 (=> (forall @t168 (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.suc @t165)) @t149) @t166)) @t169)) @t102))) % 152.83/153.27 (assume @p154 (forall (@list @t43 @t27 @t72) (=> @t310 (=> (_ @t72 @t43) (=> (forall @t153 (=> (_ @t309 @t149) @t266)) @t102))))) % 152.83/153.27 (assume @p155 (forall (@list @t43 @t27 @t323) (=> @t310 (=> (forall @t265 (_ @t325 @t262)) (=> (forall (@list @t262 @t260 @t324) (=> (_ @t325 @t260) (=> (_ (_ @t323 @t260) @t324) (_ @t325 @t324)))) (=> (forall @t153 (_ (_ @t323 @t149) @t150)) (_ (_ @t323 @t43) @t27))))))) % 152.83/153.27 (assume @p156 (forall (@list @t146 @t71 @t78) (=> (forall (@list @t74 @t87) (=> @t88 (_ (_ tptp.ord_less_nat (_ @t146 @t74)) (_ @t146 @t87)))) (=> @t313 (_ (_ tptp.ord_less_eq_nat (_ @t146 @t71)) (_ @t146 @t78)))))) % 152.83/153.27 (assume @p157 (forall @t50 (=> @t310 (=> @t49 @t47)))) % 152.83/153.27 (assume @p158 (forall @t50 (=> @t108 @t310))) % 152.83/153.27 (assume @p159 (forall @t50 (=> @t47 @t310))) % 152.83/153.27 (assume @p160 @t332) % 152.83/153.27 (assume @p161 (forall @t171 (=> @t102 (=> @t335 (exists @t334 (and (_ (_ tptp.ord_less_eq_nat @t85) @t27) (forall @t26 (=> (_ @t25 @t85) @t333)) (_ @t72 @t85))))))) % 152.83/153.27 (assume @p162 (forall @t50 (=> @t47 @t318))) % 152.83/153.27 (assume @p163 (forall @t50 (= @t318 @t47))) % 152.83/153.27 (assume @p164 (forall @t83 (=> @t313 (=> @t73 (=> (forall @t153 (=> @t339 (=> @t338 @t266))) @t336))))) % 152.83/153.27 (assume @p165 (forall @t83 (=> @t313 (=> @t336 (=> (forall @t153 (=> @t339 (=> @t338 @t257))) @t73))))) % 152.83/153.27 (assume @p166 (forall @t50 (=> @t318 @t47))) % 152.83/153.27 (assume @p167 (forall @t50 (=> @t310 @t69))) % 152.83/153.27 (assume @p168 (forall @t50 (= @t109 @t310))) % 152.83/153.27 (assume @p169 (= tptp.ord_less_nat (lambda (@list @t326 @t340) (_ (_ tptp.ord_less_eq_nat (_ tptp.suc @t326)) @t340)))) % 152.83/153.27 (assume @p170 (forall @t50 (=> @t310 @t109))) % 152.83/153.27 (assume @p171 (forall @t198 (_ (_ tptp.ord_less_eq_nat @t187) @t31))) % 152.83/153.27 (assume @p172 (forall @t201 (_ (_ tptp.ord_less_eq_nat @t190) @t36))) % 152.83/153.27 (assume @p173 (forall @t201 (=> (or @t199 (not (= @t193 tptp.nil_message_p_v))) (= (_ tptp.last_message_p_v @t193) @t302)))) % 152.83/153.27 (assume @p174 (forall @t198 (=> (or @t195 (not (= @t191 tptp.nil_co1338500125t_unit))) (= (_ tptp.last_c571238084t_unit @t191) @t303)))) % 152.83/153.27 (assume @p175 (forall @t171 (=> @t102 (=> @t335 (exists @t334 (and (_ (_ tptp.ord_less_nat @t85) @t27) (forall @t26 (=> (_ (_ tptp.ord_less_eq_nat @t20) @t85) @t333)) (_ @t72 (_ tptp.suc @t85)))))))) % 152.83/153.27 (assume @p176 (forall @t305 (= (= tptp.zero_zero_nat @t65) (= @t65 tptp.zero_zero_nat)))) % 152.83/153.27 (assume @p177 (forall @t198 (=> @t196 (_ @t341 @t187)))) % 152.83/153.27 (assume @p178 (forall @t201 (=> @t200 (_ @t341 @t190)))) % 152.83/153.27 (assume @p179 (forall @t28 (= @t227 @t229))) % 152.83/153.27 (assume @p180 (= (_ @t23 (_ @t342 @t235)) @t245)) % 152.83/153.27 (assume @p181 (forall (@list @t284 @t346 @t343) (=> (_ (_ (_ (_ tptp.firstO1414030372_p_v_s @t344) (_ tptp.ft @t343)) @t284) @t346) (_ @t197 (_ @t345 @t284))))) % 152.83/153.27 (assume @p182 (forall (@list @t343 @t347) (=> (_ (_ tptp.member_message_p_v @t347) (_ tptp.firstOccSet @t343)) (_ @t197 (_ @t345 @t347))))) % 152.83/153.27 (assume @p183 (forall @t356 (=> @t355 (forall @t353 (=> (_ @t352 @t351) (= (_ (_ tptp.nth_co1649820636t_unit @t350) @t348) (_ (_ tptp.nth_co1649820636t_unit @t349) @t348))))))) % 152.83/153.27 (assume @p184 (forall @t362 (=> @t361 (forall @t353 (=> (_ @t352 @t359) (= (_ (_ tptp.nth_message_p_v @t358) @t348) (_ (_ tptp.nth_message_p_v @t357) @t348))))))) % 152.83/153.27 (assume @p185 (forall @t26 (_ (_ tptp.prefix47729710ge_p_v (_ tptp.ft @t20)) (_ tptp.ft @t175)))) % 152.83/153.27 (assume @p186 (forall @t232 (= (_ @t363 @t230) tptp.zero_zero_nat))) % 152.83/153.27 (assume @p187 (forall @t232 (= (_ @t363 tptp.zero_zero_nat) @t230))) % 152.83/153.27 (assume @p188 (forall @t232 (= (_ @t364 @t230) tptp.zero_zero_nat))) % 152.83/153.27 (assume @p189 (forall @t28 (= (_ @t364 @t27) tptp.zero_zero_nat))) % 152.83/153.27 (assume @p190 (forall @t255 (= (_ @t365 @t43) tptp.zero_zero_nat))) % 152.83/153.27 (assume @p191 (forall (@list @t43 @t27 @t89) (= (_ (_ tptp.minus_minus_nat @t368) (_ tptp.suc @t89)) (_ (_ tptp.minus_minus_nat @t366) @t89)))) % 152.83/153.27 (assume @p192 (forall @t50 (= (_ @t367 @t60) @t366))) % 152.83/153.27 (assume @p193 (forall (@list @t71 @t27) (=> (_ @t311 @t27) (= (_ @t369 (_ @t369 @t71)) @t71)))) % 152.83/153.27 (assume @p194 (forall @t51 (= (_ @t197 @t370) @t47))) % 152.83/153.27 (assume @p195 (forall @t50 (=> @t310 @t371))) % 152.83/153.27 (assume @p196 (forall @t50 (= @t371 @t310))) % 152.83/153.27 (assume @p197 (forall @t28 (=> @t227 (= (_ tptp.suc (_ @t369 @t235)) @t27)))) % 152.83/153.27 (assume @p198 (forall @t374 (= (_ (_ tptp.minus_minus_nat @t373) @t308) (_ (_ tptp.minus_minus_nat (_ @t363 @t308)) @t372)))) % 152.83/153.27 (assume @p199 (forall @t379 (=> @t310 (_ (_ tptp.ord_less_eq_nat @t378) @t377)))) % 152.83/153.27 (assume @p200 (forall @t374 (=> (_ @t316 @t372) (=> (_ @t380 @t372) (= (_ (_ tptp.ord_less_eq_nat (_ @t381 @t230)) (_ @t381 @t308)) (_ @t380 @t230)))))) % 152.83/153.27 (assume @p201 (forall @t50 (_ (_ tptp.ord_less_eq_nat @t366) @t43))) % 152.83/153.27 (assume @p202 (forall @t379 (=> @t310 (_ (_ tptp.ord_less_eq_nat (_ @t365 @t375)) (_ @t369 @t375))))) % 152.83/153.27 (assume @p203 (forall @t387 (=> @t386 (=> @t385 (= (_ (_ tptp.minus_minus_nat @t383) @t382) @t366))))) % 152.83/153.27 (assume @p204 (forall @t387 (=> @t386 (=> @t385 (= (_ (_ tptp.ord_less_eq_nat @t383) @t382) @t310))))) % 152.83/153.27 (assume @p205 (forall @t387 (=> @t386 (=> @t385 (= (= @t383 @t382) @t48))))) % 152.83/153.27 (assume @p206 (forall @t255 (= (_ @t365 tptp.zero_zero_nat) @t43))) % 152.83/153.27 (assume @p207 (forall @t50 (=> @t371 (=> (= @t370 tptp.zero_zero_nat) @t48)))) % 152.83/153.27 (assume @p208 (forall (@list @t72 @t89 @t71) (=> @t259 (=> @t258 (_ @t72 (_ (_ tptp.minus_minus_nat @t89) @t71)))))) % 152.83/153.27 (assume @p209 (forall (@list @t78 @t89 @t27) (=> @t94 (_ (_ tptp.ord_less_nat (_ (_ tptp.minus_minus_nat @t78) @t27)) @t89)))) % 152.83/153.27 (assume @p210 (forall @t379 (=> @t47 (=> (_ @t46 @t375) (_ (_ tptp.ord_less_nat @t378) @t377))))) % 152.83/153.27 (assume @p211 (forall @t95 (= (_ (_ tptp.minus_minus_nat (_ @t388 @t78)) @t89) (_ (_ tptp.minus_minus_nat (_ @t388 @t89)) @t78)))) % 152.83/153.27 (assume @p212 (forall @t51 (=> @t227 (=> (_ @t197 @t43) (_ @t389 @t43))))) % 152.83/153.27 (assume @p213 (forall @t50 (_ @t389 @t61))) % 152.83/153.27 (assume @p214 (forall @t51 (=> @t45 (= (_ tptp.suc @t390) @t366)))) % 152.83/153.27 (assume @p215 (forall @t51 (=> @t296 (= @t368 (_ tptp.suc @t366))))) % 152.83/153.27 (assume @p216 (forall @t387 (=> @t386 (=> @t385 (= (_ (_ tptp.ord_less_nat @t383) @t382) @t47))))) % 152.83/153.27 (assume @p217 (forall (@list @t230 @t308 @t372) (=> (_ @t269 @t308) (=> (_ (_ tptp.ord_less_eq_nat @t372) @t230) (_ (_ tptp.ord_less_nat @t373) (_ (_ tptp.minus_minus_nat @t308) @t372)))))) % 152.83/153.27 (assume @p218 (forall (@list @t27 @t71) (=> @t227 (_ (_ tptp.ord_less_nat (_ @t369 @t90)) @t27)))) % 152.83/153.27 (assume @p219 (forall @t396 (=> @t395 (exists @t393 (and @t392 (forall @t244 (=> (_ @t72 @t237) (_ (_ tptp.ord_less_eq_nat @t391) @t237)))))))) % 152.83/153.27 (assume @p220 (forall (@list @t350 @t349 @t397) (=> @t355 (=> (_ (_ tptp.prefix1615116500t_unit @t349) @t397) (_ @t354 @t397))))) % 152.83/153.27 (assume @p221 (forall (@list @t358 @t357 @t398) (=> @t361 (=> (_ (_ tptp.prefix47729710ge_p_v @t357) @t398) (_ @t360 @t398))))) % 152.83/153.27 (assume @p222 (forall (@list @t400 @t72 @t399) (=> (forall @t80 (=> (_ @t401 @t74) (=> @t75 (and @t77 (_ @t399 @t74))))) (=> (_ @t72 @t400) (forall @t26 (=> (_ @t401 @t20) (_ @t399 @t20))))))) % 152.83/153.27 (assume @p223 (forall (@list @t288 @t402) (=> (_ @t197 @t288) (=> (_ @t402 tptp.zero_zero_nat) (=> (not (_ @t402 @t288)) (exists @t153 (and (_ @t337 @t288) (_ @t402 @t149) (not (_ @t402 @t150))))))))) % 152.83/153.27 (assume @p224 (forall @t356 (=> @t355 (_ (_ tptp.ord_less_nat @t351) (_ tptp.size_s1406904903t_unit @t349))))) % 152.83/153.27 (assume @p225 (forall @t362 (=> @t361 (_ (_ tptp.ord_less_nat @t359) (_ tptp.size_s1168481041ge_p_v @t357))))) % 152.83/153.27 (assume @p226 (or (_ (_ tptp.enabled_p_v_s (_ @t176 (_ (_ tptp.minus_minus_nat @t7) tptp.one_one_nat))) tptp.msg) @t304)) % 152.83/153.27 (assume @p227 (not (exists @t26 (and (_ @t25 @t406) @t404 @t293)))) % 152.83/153.27 (assume @p228 (forall @t26 (=> (_ @t25 @t405) (=> @t404 (_ (_ tptp.enabled_p_v_s @t24) tptp.msg))))) % 152.83/153.27 (assume @p229 (_ @t403 @t406)) % 152.83/153.27 (assume @p230 (forall @t28 (= (_ @t44 tptp.one_one_nat) @t228))) % 152.83/153.27 (assume @p231 (_ (_ tptp.enabled_p_v_s (_ @t23 @t406)) tptp.msg)) % 152.83/153.27 (assume @p232 (forall @t28 (= (_ (_ tptp.minus_minus_nat @t60) tptp.one_one_nat) @t27))) % 152.83/153.27 (assume @p233 (forall @t198 (= @t192 @t407))) % 152.83/153.27 (assume @p234 (forall @t201 (= @t194 @t408))) % 152.83/153.27 (assume @p235 (forall @t28 (=> @t227 (= @t410 @t27)))) % 152.83/153.27 (assume @p236 (forall @t305 (= (= tptp.one_one_nat @t65) (= @t65 tptp.one_one_nat)))) % 152.83/153.27 (assume @p237 (= tptp.one_one_nat @t235)) % 152.83/153.27 (assume @p238 (forall @t396 (=> @t395 (exists @t393 (and @t392 (or (= @t391 tptp.zero_zero_nat) (not (_ @t72 (_ (_ tptp.minus_minus_nat @t391) tptp.one_one_nat))))))))) % 152.83/153.27 (assume @p239 (forall @t50 (= @t390 (_ (_ tptp.minus_minus_nat (_ @t365 tptp.one_one_nat)) @t27)))) % 152.83/153.27 (assume @p240 (forall @t105 (=> @t227 (=> (_ @t72 tptp.one_one_nat) (=> (forall @t153 (=> @t268 @t266)) @t102))))) % 152.83/153.27 (assume @p241 (forall @t28 (=> @t227 (= @t27 @t410)))) % 152.83/153.27 (assume @p242 (forall @t51 (=> @t227 (= @t368 (_ @t365 @t409))))) % 152.83/153.27 (assume @p243 (forall @t198 (=> @t196 (= @t303 (_ @t144 @t407))))) % 152.83/153.27 (assume @p244 (forall @t201 (=> @t200 (= @t302 (_ @t145 @t408))))) % 152.83/153.27 (assume @p245 (forall (@list @t411) (or (= @t411 true) (= @t411 false)))) % 152.83/153.27 (assume @p246 (forall @t67 (= (_ (_ (_ tptp.if_nat false) @t65) @t64) @t64))) % 152.83/153.27 (assume @p247 (forall @t67 (= (_ (_ (_ tptp.if_nat true) @t65) @t64) @t65))) % 152.83/153.27 (assume @p248 @t412) % 152.83/153.27 (assume @p249 true) % 152.83/153.27 (step @p250 (= tptp.list_e581556831t_unit @t416) :rule refl :args (@t416)) % 152.83/153.27 (step @p251 (= tptp.list_ex_message_p_v @t418) :rule refl :args (@t418)) % 152.83/153.27 (step @p252 (= tptp.ord_less_eq_nat @t421) :rule refl :args (@t421)) % 152.83/153.27 (step @p253 (= tptp.enabled_p_v_s @t424) :rule refl :args (@t424)) % 152.83/153.27 ; WARNING: add trust step for TRUST % 152.83/153.27 ; trust TRUST PREPROCESS_HO_ELIM % 152.83/153.27 (step @p254 :rule trust :premises () :args ((= @t5 @t430))) % 152.83/153.27 (step @p255 :rule eq_resolve :premises (@p2 @p254)) % 152.83/153.27 (step @p256 :rule eq-symm :args (@t436 @t437)) % 152.83/153.27 (step @p257 :rule cong :premises (@p256) :args (@t438)) % 152.83/153.27 ; trust TRUST PREPROCESS_HO_ELIM % 152.83/153.27 (step @p258 :rule trust :premises () :args ((= (forall @t105 (= @t446 (or @t443 @t442))) @t438))) % 152.83/153.27 (step @p259 :rule refl :args (@t442)) % 152.83/153.27 (step @p260 :rule refl :args (@t443)) % 152.83/153.27 (step @p261 :rule refl :args (@t102)) % 152.83/153.27 (step @p262 :rule cong :premises (@p261 @p260) :args ((= @t102 @t443))) % 152.83/153.27 (step @p263 :rule symm :premises (@p262)) % 152.83/153.27 (step @p264 :rule eq_resolve :premises (@p261 @p263)) % 152.83/153.27 (step @p265 :rule nary_cong :premises (@p264 @p259) :args (@t447)) % 152.83/153.27 (step @p266 :rule refl :args (@t446)) % 152.83/153.27 (step @p267 :rule cong :premises (@p266 @p265) :args (@t448)) % 152.83/153.27 (step @p268 :rule cong :premises (@p267) :args ((forall @t105 @t448))) % 152.83/153.27 (step @p269 :rule refl :args (@t439)) % 152.83/153.27 (step @p270 :rule refl :args (@t98)) % 152.83/153.27 (step @p271 :rule cong :premises (@p270 @p269) :args ((= @t98 @t439))) % 152.83/153.27 (step @p272 :rule symm :premises (@p271)) % 152.83/153.27 (step @p273 :rule eq_resolve :premises (@p270 @p272)) % 152.83/153.27 (step @p274 :rule cong :premises (@p273) :args (@t449)) % 152.83/153.27 (step @p275 :rule refl :args (@t441)) % 152.83/153.27 (step @p276 :rule refl :args (@t100)) % 152.83/153.27 (step @p277 :rule cong :premises (@p276 @p275) :args ((= @t100 @t441))) % 152.83/153.27 (step @p278 :rule symm :premises (@p277)) % 152.83/153.27 (step @p279 :rule eq_resolve :premises (@p276 @p278)) % 152.83/153.27 (step @p280 :rule cong :premises (@p279) :args (@t450)) % 152.83/153.27 (step @p281 :rule nary_cong :premises (@p280 @p274) :args (@t451)) % 152.83/153.27 (step @p282 :rule cong :premises (@p281) :args ((forall @t101 @t451))) % 152.83/153.27 (step @p283 :rule bool-and-de-morgan :args (@t100 @t98 true)) % 152.83/153.27 (step @p284 :rule cong :premises (@p283) :args (@t452)) % 152.83/153.27 (step @p285 :rule trans :premises (@p284 @p282)) % 152.83/153.27 (step @p286 :rule cong :premises (@p285) :args (@t453)) % 152.83/153.27 (step @p287 :rule exists-elim :args ((= @t111 @t453))) % 152.83/153.27 (step @p288 :rule trans :premises (@p287 @p286)) % 152.83/153.27 (step @p289 :rule refl :args (@t102)) % 152.83/153.27 (step @p290 :rule nary_cong :premises (@p289 @p288) :args (@t112)) % 152.83/153.27 (step @p291 :rule refl :args ((tptp.ord_less_nat @t97 @t60))) % 152.83/153.27 (step @p292 :rule refl :args (@t444)) % 152.83/153.27 (step @p293 :rule refl :args (@t97)) % 152.83/153.27 (step @p294 :rule cong :premises (@p293 @p292) :args (@t445)) % 152.83/153.27 (step @p295 :rule trans :premises (@p294 @p291)) % 152.83/153.27 (step @p296 :rule refl :args (@t99)) % 152.83/153.27 (step @p297 :rule ho_cong :premises (@p296 @p292)) % 152.83/153.27 (step @p298 :rule cong :premises (@p297 @p295) :args ((= (_ @t99 @t444) @t445))) % 152.83/153.27 (step @p299 :rule symm :premises (@p298)) % 152.83/153.27 (step @p300 :rule refl :args (@t103)) % 152.83/153.27 (step @p301 :rule eq_resolve :premises (@p300 @p299)) % 152.83/153.27 (step @p302 :rule refl :args (@t60)) % 152.83/153.27 (step @p303 :rule cong :premises (@p302 @p292) :args ((= @t60 @t444))) % 152.83/153.27 (step @p304 :rule symm :premises (@p303)) % 152.83/153.27 (step @p305 :rule eq_resolve :premises (@p302 @p304)) % 152.83/153.27 (step @p306 :rule ho_cong :premises (@p296 @p305)) % 152.83/153.27 (step @p307 :rule trans :premises (@p306 @p301)) % 152.83/153.27 (step @p308 :rule cong :premises (@p307) :args (@t454)) % 152.83/153.27 (step @p309 :rule nary_cong :premises (@p308 @p274) :args (@t455)) % 152.83/153.27 (step @p310 :rule cong :premises (@p309) :args ((forall @t101 @t455))) % 152.83/153.27 (step @p311 :rule bool-and-de-morgan :args (@t103 @t98 true)) % 152.83/153.27 (step @p312 :rule cong :premises (@p311) :args (@t456)) % 152.83/153.27 (step @p313 :rule trans :premises (@p312 @p310)) % 152.83/153.27 (step @p314 :rule cong :premises (@p313) :args (@t457)) % 152.83/153.27 (step @p315 :rule exists-elim :args ((= @t114 @t457))) % 152.83/153.27 (step @p316 :rule trans :premises (@p315 @p314)) % 152.83/153.27 (step @p317 :rule cong :premises (@p316 @p290) :args (@t115)) % 152.83/153.27 (step @p318 :rule cong :premises (@p317) :args (@t116)) % 152.83/153.27 (step @p319 :rule trans :premises (@p318 @p268)) % 152.83/153.27 (step @p320 :rule trans :premises (@p319 @p258 @p257)) % 152.83/153.27 (step @p321 :rule eq_resolve :premises (@p36 @p320)) % 152.83/153.27 (step @p322 :rule instantiate :premises (@p321) :args ((@list tptp.n1 @t428))) % 152.83/153.27 (step @p323 :rule bool-double-not-elim :args (@t461)) % 152.83/153.27 (step @p324 :rule refl :args (@t465)) % 152.83/153.27 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or @t465 (not @t464)))) % 152.83/153.27 (step @p326 :rule cnf_or_neg :args (@t465 0)) % 152.83/153.27 (step @p327 :rule eq_resolve :premises (@p326 @p325)) % 152.83/153.27 (step @p328 :rule reordering :premises (@p327) :args ((or @t461 @t465))) % 152.83/153.27 (step @p329 :rule bool-double-not-elim :args (@t462)) % 152.83/153.27 (step @p330 :rule nary_cong :premises (@p324 @p329) :args ((or @t465 (not @t463)))) % 152.83/153.27 (step @p331 :rule cnf_or_neg :args (@t465 1)) % 152.83/153.27 (step @p332 :rule eq_resolve :premises (@p331 @p330)) % 152.83/153.27 (step @p333 :rule reordering :premises (@p332) :args ((or @t462 @t465))) % 152.83/153.27 (step @p334 :rule cnf_and_pos :args (@t466 0)) % 152.83/153.27 (step @p335 :rule reordering :premises (@p334) :args ((or @t464 (not @t466)))) % 152.83/153.27 (step @p336 :rule cnf_and_pos :args (@t467 0)) % 152.83/153.27 (step @p337 :rule reordering :premises (@p336) :args ((or @t463 (not @t467)))) % 152.83/153.27 ; trust TRUST PREPROCESS_HO_ELIM % 152.83/153.27 (step @p338 :rule trust :premises () :args ((= @t2 (not @t468)))) % 152.83/153.27 (step @p339 :rule eq_resolve :premises (@p1 @p338)) % 152.83/153.27 ; trust TRUST PREPROCESS_HO_ELIM % 152.83/153.27 (step @p340 :rule trust :premises () :args ((= @t471 @t470))) % 152.83/153.27 ; trust TRUST PREPROCESS_HO_ELIM % 152.83/153.27 (step @p341 :rule trust :premises () :args ((= (= tptp.ord_less_nat (lambda @t330 (and @t473 (not @t472)))) @t471))) % 152.83/153.27 (step @p342 :rule eq-symm :args (@t272 @t326)) % 152.83/153.27 (step @p343 :rule cong :premises (@p342) :args (@t328)) % 152.83/153.27 (step @p344 :rule beta-reduce :args ((= (_ @t474 @t326) @t473))) % 152.83/153.27 (step @p345 :rule refl :args (@t326)) % 152.83/153.27 (step @p346 :rule beta-reduce :args ((= @t476 @t474))) % 152.83/153.27 (step @p347 :rule ho_cong :premises (@p346 @p345)) % 152.83/153.27 (step @p348 :rule trans :premises (@p347 @p344)) % 152.83/153.27 (step @p349 :rule nary_cong :premises (@p348 @p343) :args (@t477)) % 152.83/153.27 (step @p350 :rule cong :premises (@p349) :args (@t478)) % 152.83/153.27 (step @p351 :rule refl :args (tptp.ord_less_nat)) % 152.83/153.27 (step @p352 :rule cong :premises (@p351 @p350) :args ((= tptp.ord_less_nat @t478))) % 152.83/153.27 (step @p353 :rule refl :args (@t328)) % 152.83/153.27 (step @p354 :rule refl :args (@t272)) % 152.83/153.27 (step @p355 :rule refl :args (@t419)) % 152.83/153.27 (step @p356 :rule nary_cong :premises (@p355 @p342) :args (@t420)) % 152.83/153.27 (step @p357 :rule cong :premises (@p356) :args (@t421)) % 152.83/153.27 (step @p358 :rule trans :premises (@p252 @p357)) % 152.83/153.27 (step @p359 :rule ho_cong :premises (@p358 @p354)) % 152.83/153.27 (step @p360 :rule ho_cong :premises (@p359 @p345)) % 152.83/153.27 (step @p361 :rule nary_cong :premises (@p360 @p353) :args (@t329)) % 152.83/153.27 (step @p362 :rule cong :premises (@p361) :args (@t331)) % 152.83/153.27 (step @p363 :rule cong :premises (@p351 @p362) :args (@t332)) % 152.83/153.27 (step @p364 :rule trans :premises (@p363 @p352)) % 152.83/153.27 (step @p365 :rule trans :premises (@p364 @p341 @p340)) % 152.83/153.27 (step @p366 :rule eq_resolve :premises (@p160 @p365)) % 152.83/153.27 ; trust TRUST PREPROCESS_HO_ELIM % 152.83/153.27 (step @p367 :rule trust :premises () :args ((= @t412 @t481))) % 152.83/153.27 (step @p368 :rule eq_resolve :premises (@p248 @p367)) % 152.83/153.27 (step @p369 :rule refl :args (@t483)) % 152.83/153.27 (step @p370 :rule bool-double-not-elim :args (@t480)) % 152.83/153.27 (step @p371 :rule refl :args (@t484)) % 152.83/153.27 (step @p372 :rule refl :args (@t485)) % 152.83/153.27 (step @p373 :rule nary_cong :premises (@p372 @p371 @p370 @p369) :args ((or @t485 @t484 @t486 @t483))) % 152.83/153.27 (assume-push @p587 @t430) % 152.83/153.27 (assume-push @p588 @t470) % 152.83/153.27 (assume-push @p589 @t482) % 152.83/153.27 (assume-push @p590 @t481) % 152.83/153.27 (step @p378 :rule evaluate :args ((= false true))) % 152.83/153.27 (step @p379 :rule true_intro :premises (@p255)) % 152.83/153.27 (step @p380 :rule refl :args (@t425)) % 152.83/153.27 (step @p381 :rule refl :args (tptp.nMsg)) % 152.83/153.27 (step @p382 :rule symm :premises (@p366)) % 152.83/153.27 (step @p383 :rule cong :premises (@p382 @p381) :args ((_ @t427 @t469 tptp.nMsg))) % 152.83/153.27 (step @p384 :rule cong :premises (@p366 @p589) :args (@t479)) % 152.83/153.27 (step @p385 :rule refl :args (tptp.n1)) % 152.83/153.27 (step @p386 :rule cong :premises (@p382 @p385) :args (@t487)) % 152.83/153.27 (step @p387 :rule trans :premises (@p386 @p384 @p383)) % 152.83/153.27 (step @p388 :rule cong :premises (@p387 @p380) :args ((_ @t429 @t487 @t425))) % 152.83/153.27 (step @p389 :rule symm :premises (@p386)) % 152.83/153.27 (step @p390 :rule cong :premises (@p389 @p380) :args (@t480)) % 152.83/153.27 (step @p391 :rule false_intro :premises (@p368)) % 152.83/153.27 (step @p392 :rule symm :premises (@p391)) % 152.83/153.27 (step @p393 :rule trans :premises (@p392 @p390 @p388 @p379)) % 152.83/153.27 (step @p394 false :rule eq_resolve :premises (@p393 @p378)) % 152.83/153.27 (step-pop @p591 :rule scope :premises (@p394)) % 152.83/153.27 (step-pop @p592 :rule scope :premises (@p591)) % 152.83/153.27 (step-pop @p593 :rule scope :premises (@p592)) % 152.83/153.27 (step-pop @p594 :rule scope :premises (@p593)) % 152.83/153.27 (step @p395 :rule process_scope :premises (@p594) :args (false)) % 152.83/153.27 (assume-push @p595 @t430) % 152.83/153.27 (assume-push @p596 @t470) % 152.83/153.27 (assume-push @p597 @t481) % 152.83/153.27 (assume-push @p598 @t482) % 152.83/153.27 (step @p404 :rule and_intro :premises (@p255 @p366 @p598 @p368)) % 152.83/153.27 (step-pop @p599 :rule scope :premises (@p404)) % 152.83/153.27 (step-pop @p600 :rule scope :premises (@p599)) % 152.83/153.27 (step-pop @p601 :rule scope :premises (@p600)) % 152.83/153.27 (step-pop @p602 :rule scope :premises (@p601)) % 152.83/153.27 (step @p405 :rule process_scope :premises (@p602) :args (@t488)) % 152.83/153.27 (step @p410 :rule implies_elim :premises (@p405)) % 152.83/153.27 (step @p411 :rule resolution :premises (@p410 @p395) :args (true @t488)) % 152.83/153.27 (step @p412 :rule not_and :premises (@p411)) % 152.83/153.27 (step @p413 :rule eq_resolve :premises (@p412 @p373)) % 152.83/153.27 (step @p414 :rule reordering :premises (@p413) :args ((or @t480 @t485 @t484 @t483))) % 152.83/153.27 (step @p415 :rule chain_m_resolution :premises (@p414 @p368 @p255 @p366) :args (@t483 (@list true false false) (@list @t480 @t430 @t470))) % 152.83/153.27 ; trust TRUST PREPROCESS_HO_ELIM % 152.83/153.27 (step @p416 :rule trust :premises () :args ((= (forall @t95 (or (and (not @t498) @t494) (and (not @t497) @t492) @t496 @t489)) @t495))) % 152.83/153.27 (step @p417 :rule refl :args (@t489)) % 152.83/153.27 (step @p418 :rule refl :args (@t496)) % 152.83/153.27 (step @p419 :rule refl :args (@t120)) % 152.83/153.27 (step @p420 :rule cong :premises (@p419 @p418) :args ((= @t120 @t496))) % 152.83/153.27 (step @p421 :rule symm :premises (@p420)) % 152.83/153.27 (step @p422 :rule eq_resolve :premises (@p419 @p421)) % 152.83/153.27 (step @p423 :rule refl :args (@t492)) % 152.83/153.27 (step @p424 :rule refl :args (@t497)) % 152.83/153.27 (step @p425 :rule refl :args (@t94)) % 152.83/153.27 (step @p426 :rule cong :premises (@p425 @p424) :args ((= @t94 @t497))) % 152.83/153.27 (step @p427 :rule symm :premises (@p426)) % 152.83/153.27 (step @p428 :rule eq_resolve :premises (@p425 @p427)) % 152.83/153.27 (step @p429 :rule cong :premises (@p428) :args (@t499)) % 152.83/153.27 (step @p430 :rule nary_cong :premises (@p429 @p423) :args (@t500)) % 152.83/153.27 (step @p431 :rule refl :args (@t494)) % 152.83/153.27 (step @p432 :rule refl :args (@t498)) % 152.83/153.27 (step @p433 :rule refl :args (@t82)) % 152.83/153.27 (step @p434 :rule cong :premises (@p433 @p432) :args ((= @t82 @t498))) % 152.83/153.27 (step @p435 :rule symm :premises (@p434)) % 152.83/153.27 (step @p436 :rule eq_resolve :premises (@p433 @p435)) % 152.83/153.27 (step @p437 :rule cong :premises (@p436) :args (@t501)) % 152.83/153.27 (step @p438 :rule nary_cong :premises (@p437 @p431) :args (@t502)) % 152.83/153.27 (step @p439 :rule nary_cong :premises (@p438 @p430 @p422 @p417) :args (@t503)) % 152.83/153.27 (step @p440 :rule cong :premises (@p439) :args ((forall @t95 @t503))) % 152.83/153.27 (step @p441 :rule aci_norm :args ((= (or @t502 @t504) @t503))) % 152.83/153.27 (step @p442 :rule aci_norm :args ((= (or @t500 @t505) @t504))) % 152.83/153.27 (step @p443 :rule refl :args (@t505)) % 152.83/153.27 (step @p444 :rule bool-or-de-morgan :args (@t94 @t491 false)) % 152.83/153.27 (step @p445 :rule nary_cong :premises (@p444 @p443) :args ((or (not @t506) @t505))) % 152.83/153.27 (step @p446 :rule trans :premises (@p445 @p442)) % 152.83/153.27 (step @p447 :rule bool-impl-elim :args (@t506 @t505)) % 152.83/153.27 (step @p448 :rule trans :premises (@p447 @p446)) % 152.83/153.27 (step @p449 :rule bool-or-de-morgan :args (@t82 @t493 false)) % 152.83/153.27 (step @p450 :rule nary_cong :premises (@p449 @p448) :args ((or (not @t508) @t507))) % 152.83/153.27 (step @p451 :rule trans :premises (@p450 @p441)) % 152.83/153.27 (step @p452 :rule bool-impl-elim :args (@t508 @t507)) % 152.83/153.27 (step @p453 :rule trans :premises (@p452 @p451)) % 152.83/153.27 (step @p454 :rule cong :premises (@p453) :args ((forall @t95 (=> @t508 @t507)))) % 152.83/153.27 (step @p455 :rule trans :premises (@p454 @p440)) % 152.83/153.27 (step @p456 :rule beta-reduce :args ((= (_ @t510 @t89) @t505))) % 152.83/153.27 (step @p457 :rule refl :args (@t89)) % 152.83/153.27 (step @p458 :rule eq-symm :args (@t326 @t71)) % 152.83/153.27 (step @p459 :rule refl :args (@t509)) % 152.83/153.27 (step @p460 :rule nary_cong :premises (@p459 @p458) :args (@t511)) % 152.83/153.27 (step @p461 :rule cong :premises (@p460) :args (@t512)) % 152.83/153.27 (step @p462 :rule beta-reduce :args ((= @t513 @t512))) % 152.83/153.27 (step @p463 :rule trans :premises (@p462 @p461)) % 152.83/153.27 (step @p464 :rule ho_cong :premises (@p463 @p457)) % 152.83/153.27 (step @p465 :rule trans :premises (@p464 @p456)) % 152.83/153.27 (step @p466 :rule beta-reduce :args ((= (_ (lambda @t415 (or @t514 (= @t78 @t326))) @t89) @t506))) % 152.83/153.27 (step @p467 :rule eq-symm :args (@t326 @t78)) % 152.83/153.27 (step @p468 :rule refl :args (@t514)) % 152.83/153.27 (step @p469 :rule nary_cong :premises (@p468 @p467) :args (@t515)) % 152.83/153.27 (step @p470 :rule cong :premises (@p469) :args (@t516)) % 152.83/153.27 (step @p471 :rule beta-reduce :args ((= @t517 @t516))) % 152.83/153.27 (step @p472 :rule trans :premises (@p471 @p470)) % 152.83/153.27 (step @p473 :rule ho_cong :premises (@p472 @p457)) % 152.83/153.27 (step @p474 :rule trans :premises (@p473 @p466)) % 152.83/153.27 (step @p475 :rule cong :premises (@p474 @p465) :args (@t518)) % 152.83/153.27 (step @p476 :rule beta-reduce :args ((= (_ @t510 @t78) @t508))) % 152.83/153.27 (step @p477 :rule refl :args (@t78)) % 152.83/153.27 (step @p478 :rule ho_cong :premises (@p463 @p477)) % 152.83/153.27 (step @p479 :rule trans :premises (@p478 @p476)) % 152.83/153.27 (step @p480 :rule cong :premises (@p479 @p475) :args (@t519)) % 152.83/153.27 (step @p481 :rule cong :premises (@p480) :args ((forall @t95 @t519))) % 152.83/153.27 (step @p482 :rule trans :premises (@p481 @p455)) % 152.83/153.27 (step @p483 :rule refl :args (@t71)) % 152.83/153.27 (step @p484 :rule ho_cong :premises (@p358 @p483)) % 152.83/153.27 (step @p485 :rule ho_cong :premises (@p484 @p457)) % 152.83/153.27 (step @p486 :rule ho_cong :premises (@p358 @p477)) % 152.83/153.27 (step @p487 :rule ho_cong :premises (@p486 @p457)) % 152.83/153.27 (step @p488 :rule cong :premises (@p487 @p485) :args (@t312)) % 152.83/153.27 (step @p489 :rule ho_cong :premises (@p484 @p477)) % 152.83/153.27 (step @p490 :rule cong :premises (@p489 @p488) :args (@t314)) % 152.83/153.27 (step @p491 :rule cong :premises (@p490) :args (@t315)) % 152.83/153.27 (step @p492 :rule trans :premises (@p491 @p482)) % 152.83/153.27 (step @p493 :rule trans :premises (@p492 @p416)) % 152.83/153.27 (step @p494 :rule eq_resolve :premises (@p142 @p493)) % 152.83/153.27 (step @p495 :rule eq-symm :args (tptp.nMsg tptp.n1)) % 152.83/153.27 (step @p496 :rule refl :args (@t468)) % 152.83/153.27 (step @p497 :rule eq-symm :args (@t460 tptp.n1)) % 152.83/153.27 (step @p498 :rule cong :premises (@p497) :args (@t520)) % 152.83/153.27 (step @p499 :rule refl :args (@t464)) % 152.83/153.27 (step @p500 :rule nary_cong :premises (@p499 @p498) :args (@t521)) % 152.83/153.27 (step @p501 :rule refl :args (@t467)) % 152.83/153.27 (step @p502 :rule nary_cong :premises (@p501 @p500 @p496 @p495) :args (@t522)) % 152.83/153.27 (step @p503 :rule refl :args (@t495)) % 152.83/153.27 (step @p504 :rule cong :premises (@p503 @p502) :args ((=> @t495 @t522))) % 152.83/153.27 (assume-push @p603 @t495) % 152.83/153.27 (step @p506 :rule instantiate :premises (@p494) :args ((@list tptp.nMsg @t460 tptp.n1))) % 152.83/153.27 (step-pop @p604 :rule scope :premises (@p506)) % 152.83/153.27 (step @p507 :rule process_scope :premises (@p604) :args (@t522)) % 152.83/153.27 (step @p509 :rule eq_resolve :premises (@p507 @p504)) % 152.83/153.27 (step @p510 :rule implies_elim :premises (@p509)) % 152.83/153.27 (step @p511 :rule chain_m_resolution :premises (@p510 @p494) :args (@t523 @t524 (@list @t495))) % 152.83/153.27 (step @p512 :rule cnf_or_pos :args (@t523)) % 152.83/153.27 (step @p513 :rule reordering :premises (@p512) :args ((or @t468 @t482 @t467 @t466 (not @t523)))) % 152.83/153.27 (step @p514 :rule chain_m_resolution :premises (@p513 @p511 @p415 @p339 @p337 @p335 @p333 @p328) :args (@t465 (@list false true true true true false false) (@list @t523 @t482 @t468 @t467 @t466 @t462 @t461))) % 152.83/153.27 (step @p515 :rule refl :args (@t525)) % 152.83/153.27 (step @p516 :rule bool-double-not-elim :args (@t459)) % 152.83/153.27 (step @p517 :rule nary_cong :premises (@p516 @p515) :args ((or (not @t526) @t525))) % 152.83/153.27 (assume-push @p605 @t526) % 152.83/153.27 (step @p519 :rule skolemize :premises (@p605)) % 152.83/153.27 (step-pop @p606 :rule scope :premises (@p519)) % 152.83/153.27 (step @p520 :rule process_scope :premises (@p606) :args (@t525)) % 152.83/153.27 (step @p522 :rule implies_elim :premises (@p520)) % 152.83/153.27 (step @p523 :rule eq_resolve :premises (@p522 @p517)) % 152.83/153.27 (step @p524 :rule chain_m_resolution :premises (@p523 @p514) :args (@t459 @t524 (@list @t465))) % 152.83/153.27 (step @p525 :rule cnf_or_pos :args (@t527)) % 152.83/153.27 (step @p526 :rule reordering :premises (@p525) :args ((or @t468 @t526 @t528))) % 152.83/153.27 (step @p527 :rule chain_m_resolution :premises (@p526 @p339 @p524) :args (@t528 @t529 (@list @t468 @t459))) % 152.83/153.27 (step @p528 :rule bool-double-not-elim :args (@t531)) % 152.83/153.27 (step @p529 :rule refl :args (@t527)) % 152.83/153.27 (step @p530 :rule refl :args (@t534)) % 152.83/153.27 (step @p531 :rule nary_cong :premises (@p530 @p529 @p528) :args ((or @t534 @t527 (not @t532)))) % 152.83/153.27 (step @p532 :rule cnf_equiv_pos2 :args (@t533)) % 152.83/153.27 (step @p533 :rule eq_resolve :premises (@p532 @p531)) % 152.83/153.27 (step @p534 :rule reordering :premises (@p533) :args ((or @t527 @t531 @t534))) % 152.83/153.27 (step @p535 :rule chain_m_resolution :premises (@p534 @p527 @p322) :args (@t531 @t529 (@list @t527 @t533))) % 152.83/153.27 (assume-push @p607 @t531) % 152.83/153.27 (step @p537 :rule instantiate :premises (@p607) :args ((@list @t425))) % 152.83/153.27 (step-pop @p608 :rule scope :premises (@p537)) % 152.83/153.27 (step @p538 :rule process_scope :premises (@p608) :args (@t537)) % 152.83/153.27 (step @p540 :rule implies_elim :premises (@p538)) % 152.83/153.27 (step @p541 :rule chain_m_resolution :premises (@p540 @p535) :args (@t537 @t524 (@list @t531))) % 152.83/153.27 ; trust TRUST PREPROCESS_HO_ELIM % 152.83/153.27 (step @p542 :rule trust :premises () :args ((= (forall @t50 (= @t541 @t539)) (forall @t50 (= (not (_ @t429 (_ @t427 @t426 @t43) @t27)) (_ @t429 (_ @t427 @t426 @t27) (_ @t434 @t433 @t43))))))) % 152.83/153.27 (step @p543 :rule eq-symm :args (@t539 @t541)) % 152.83/153.28 (step @p544 :rule cong :premises (@p543) :args ((forall @t50 (= @t539 @t541)))) % 152.83/153.28 (step @p545 :rule refl :args (@t540)) % 152.83/153.28 (step @p546 :rule refl :args (@t47)) % 152.83/153.28 (step @p547 :rule cong :premises (@p546 @p545) :args ((= @t47 @t540))) % 152.83/153.28 (step @p548 :rule symm :premises (@p547)) % 152.83/153.28 (step @p549 :rule eq_resolve :premises (@p546 @p548)) % 152.83/153.28 (step @p550 :rule cong :premises (@p549) :args (@t106)) % 152.83/153.28 (step @p551 :rule refl :args ((tptp.ord_less_nat @t27 @t61))) % 152.83/153.28 (step @p552 :rule refl :args (@t538)) % 152.83/153.28 (step @p553 :rule refl :args (@t27)) % 152.83/153.28 (step @p554 :rule cong :premises (@p553 @p552) :args (@t539)) % 152.83/153.28 (step @p555 :rule trans :premises (@p554 @p551)) % 152.83/153.28 (step @p556 :rule refl :args (@t44)) % 152.83/153.28 (step @p557 :rule ho_cong :premises (@p556 @p552)) % 152.83/153.28 (step @p558 :rule cong :premises (@p557 @p555) :args ((= (_ @t44 @t538) @t539))) % 152.83/153.28 (step @p559 :rule symm :premises (@p558)) % 152.83/153.28 (step @p560 :rule refl :args (@t68)) % 152.83/153.28 (step @p561 :rule eq_resolve :premises (@p560 @p559)) % 152.83/153.28 (step @p562 :rule refl :args (@t61)) % 152.83/153.28 (step @p563 :rule cong :premises (@p562 @p552) :args ((= @t61 @t538))) % 152.83/153.28 (step @p564 :rule symm :premises (@p563)) % 152.83/153.28 (step @p565 :rule eq_resolve :premises (@p562 @p564)) % 152.83/153.28 (step @p566 :rule ho_cong :premises (@p556 @p565)) % 152.83/153.28 (step @p567 :rule trans :premises (@p566 @p561)) % 152.83/153.28 (step @p568 :rule cong :premises (@p567 @p550) :args (@t542)) % 152.83/153.28 (step @p569 :rule cong :premises (@p568) :args ((forall @t50 @t542))) % 152.83/153.28 (step @p570 :rule trans :premises (@p569 @p544)) % 152.83/153.28 (step @p571 :rule eq-symm :args (@t106 @t68)) % 152.83/153.28 (step @p572 :rule cong :premises (@p571) :args (@t107)) % 152.83/153.28 (step @p573 :rule trans :premises (@p572 @p570)) % 152.83/153.28 (step @p574 :rule trans :premises (@p573 @p542)) % 152.83/153.28 (step @p575 :rule eq_resolve :premises (@p34 @p574)) % 152.83/153.28 (step @p576 :rule instantiate :premises (@p575) :args ((@list tptp.n1 @t425))) % 152.83/153.28 (step @p577 :rule refl :args (@t535)) % 152.83/153.28 (step @p578 :rule refl :args (@t544)) % 152.83/153.28 (step @p579 :rule nary_cong :premises (@p578 @p370 @p577) :args ((or @t544 @t486 @t535))) % 152.83/153.28 (step @p580 :rule cnf_equiv_pos1 :args (@t543)) % 152.83/153.28 (step @p581 :rule eq_resolve :premises (@p580 @p579)) % 152.83/153.28 (step @p582 :rule reordering :premises (@p581) :args ((or @t480 @t535 @t544))) % 152.83/153.28 (step @p583 :rule chain_m_resolution :premises (@p582 @p368 @p576) :args (@t535 @t529 (@list @t480 @t543))) % 152.83/153.28 (step @p584 :rule cnf_or_pos :args (@t537)) % 152.83/153.28 (step @p585 :rule reordering :premises (@p584) :args ((or @t485 @t536 (not @t537)))) % 152.83/153.28 (step @p586 false :rule chain_m_resolution :premises (@p585 @p583 @p541 @p255) :args (false (@list false false false) (@list @t535 @t537 @t430))) % 152.83/153.28 ) % 152.83/153.28 % SZS output end Proof % 152.83/153.28 % cvc5 exiting %------------------------------------------------------------------------------