%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP059^1 : 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 : n003.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 08:24:56 AM UTC 2026 % Result : Theorem 0.42s 0.86s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP059^1 : TPTP v9.2.1. Released v7.5.0. % 0.14/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n003.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 04:12:29 EDT 2026 % 0.18/0.35 % CPUTime : % 0.39/0.57 %----Proving TH0 % 0.42/0.86 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.42/0.86 % SZS status Theorem % 0.42/0.86 % SZS output start Proof % 0.42/0.86 ( % 0.42/0.86 (declare-sort tptp.message_p_v 0) % 0.42/0.86 (declare-sort tptp.set_message_p_v 0) % 0.42/0.86 (declare-sort tptp.nat 0) % 0.42/0.86 (declare-sort tptp.config256849571t_unit 0) % 0.42/0.86 (declare-sort tptp.list_c1059388851t_unit 0) % 0.42/0.86 (declare-sort tptp.list_message_p_v 0) % 0.42/0.86 (declare-sort tptp.p 0) % 0.42/0.86 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) % 0.42/0.86 (declare-const tptp.member_message_p_v (-> tptp.message_p_v tptp.set_message_p_v Bool)) % 0.42/0.86 (declare-const tptp.firstOccSet (-> tptp.nat tptp.set_message_p_v)) % 0.42/0.86 (declare-const tptp.msgInSet tptp.message_p_v) % 0.42/0.86 (declare-const tptp.prefix47729710ge_p_v (-> tptp.list_message_p_v tptp.list_message_p_v Bool)) % 0.42/0.86 (declare-const tptp.n1 tptp.nat) % 0.42/0.86 (declare-const tptp.fe (-> tptp.nat tptp.list_c1059388851t_unit)) % 0.42/0.86 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.42/0.86 (declare-const tptp.size_s1406904903t_unit (-> tptp.list_c1059388851t_unit tptp.nat)) % 0.42/0.86 (declare-const tptp.ft (-> tptp.nat tptp.list_message_p_v)) % 0.42/0.86 (declare-const tptp.prefix1615116500t_unit (-> tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit Bool)) % 0.42/0.86 (declare-const tptp.index tptp.nat) % 0.42/0.86 (declare-const tptp.msg tptp.message_p_v) % 0.42/0.86 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.42/0.86 (declare-const tptp.firstO1414030372_p_v_s (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.message_p_v tptp.nat Bool)) % 0.42/0.86 (declare-const tptp.zero_zero_nat tptp.nat) % 0.42/0.86 (declare-const tptp.nMsg tptp.nat) % 0.42/0.86 (declare-const tptp.last_message_p_v (-> tptp.list_message_p_v tptp.message_p_v)) % 0.42/0.86 (declare-const tptp.size_s1168481041ge_p_v (-> tptp.list_message_p_v tptp.nat)) % 0.42/0.86 (declare-const tptp.nth_co1649820636t_unit (-> tptp.list_c1059388851t_unit tptp.nat tptp.config256849571t_unit)) % 0.42/0.86 (declare-const tptp.nil_co1338500125t_unit tptp.list_c1059388851t_unit) % 0.42/0.86 (declare-const tptp.n tptp.nat) % 0.42/0.86 (declare-const tptp.p2 tptp.p) % 0.42/0.86 (declare-const tptp.nil_message_p_v tptp.list_message_p_v) % 0.42/0.86 (declare-const tptp.isReceiverOf_p_v (-> tptp.p tptp.message_p_v Bool)) % 0.42/0.86 (declare-const tptp.one_one_nat tptp.nat) % 0.42/0.86 (declare-const tptp.nth_message_p_v (-> tptp.list_message_p_v tptp.nat tptp.message_p_v)) % 0.42/0.86 (declare-const tptp.enabled_p_v_s (-> tptp.config256849571t_unit tptp.message_p_v Bool)) % 0.42/0.86 (declare-const tptp.n0 tptp.nat) % 0.42/0.86 (declare-const tptp.last_c571238084t_unit (-> tptp.list_c1059388851t_unit tptp.config256849571t_unit)) % 0.42/0.86 (declare-const tptp.msgs_p1029620568t_unit (-> tptp.config256849571t_unit tptp.message_p_v tptp.nat)) % 0.42/0.86 (define tptp.ord_less_nat () (let ((_let_1 (@var "N5" tptp.nat))) (let ((_let_2 (@var "M5" tptp.nat))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.ord_less_eq_nat _let_2) _let_1) (not (= _let_2 _let_1))))))) % 0.42/0.86 (define @t1 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) % 0.42/0.86 (define @t2 () (@var "A7" tptp.nat)) % 0.42/0.86 (define @t3 () (@var "A6" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) % 0.42/0.86 (define @t4 () (@var "A5" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) % 0.42/0.86 (define @t5 () (@var "A4" tptp.config256849571t_unit)) % 0.42/0.86 (define @t6 () (@var "Q" (-> tptp.config256849571t_unit (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit) (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v) tptp.nat Bool))) % 0.42/0.86 (define @t7 () (@var "N" tptp.nat)) % 0.42/0.86 (define @t8 () (_ tptp.suc @t7)) % 0.42/0.86 (define @t9 () (@var "FStepMsg" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) % 0.42/0.86 (define @t10 () (@var "FStepCfg" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) % 0.42/0.86 (define @t11 () (@var "Cfg" tptp.config256849571t_unit)) % 0.42/0.86 (define @t12 () (_ (_ (_ @t6 @t11) @t10) @t9)) % 0.42/0.86 (define @t13 () (_ @t12 @t7)) % 0.42/0.86 (define @t14 () (@var "P" (-> tptp.config256849571t_unit (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit) (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v) tptp.nat Bool))) % 0.42/0.86 (define @t15 () (_ (_ (_ @t14 @t11) @t10) @t9)) % 0.42/0.86 (define @t16 () (_ @t15 @t7)) % 0.42/0.86 (define @t17 () (@list @t11 @t10 @t9 @t7)) % 0.42/0.86 (define @t18 () (forall @t17 (=> @t16 (=> @t13 (_ @t12 @t8))))) % 0.42/0.86 (define @t19 () (@list @t11 @t10 @t9)) % 0.42/0.86 (define @t20 () (forall @t19 (_ @t12 tptp.zero_zero_nat))) % 0.42/0.86 (define @t21 () (forall @t17 (=> @t16 (=> @t13 (_ @t15 @t8))))) % 0.42/0.86 (define @t22 () (forall @t19 (_ @t15 tptp.zero_zero_nat))) % 0.42/0.86 (define @t23 () (@var "A3" tptp.nat)) % 0.42/0.86 (define @t24 () (@var "A2" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_message_p_v))) % 0.42/0.86 (define @t25 () (@var "A1" (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.list_c1059388851t_unit))) % 0.42/0.86 (define @t26 () (@var "A0" tptp.config256849571t_unit)) % 0.42/0.86 (define @t27 () (_ tptp.suc tptp.index)) % 0.42/0.86 (define @t28 () (_ tptp.ft @t27)) % 0.42/0.86 (define @t29 () (_ tptp.fe @t27)) % 0.42/0.86 (define @t30 () (_ (_ tptp.firstO1414030372_p_v_s @t29) @t28)) % 0.42/0.86 (define @t31 () (_ @t30 tptp.msg)) % 0.42/0.86 (define @t32 () (_ @t31 tptp.nMsg)) % 0.42/0.86 (define @t33 () (_ tptp.fe tptp.index)) % 0.42/0.86 (define @t34 () (_ tptp.size_s1406904903t_unit @t33)) % 0.42/0.86 (define @t35 () (@var "NMsg" tptp.nat)) % 0.42/0.86 (define @t36 () (_ @t31 @t35)) % 0.42/0.86 (define @t37 () (=> @t36 (_ (_ tptp.ord_less_nat @t35) @t34))) % 0.42/0.86 (define @t38 () (@list @t35)) % 0.42/0.86 (define @t39 () (forall @t38 @t37)) % 0.42/0.86 (define @t40 () (_ tptp.size_s1406904903t_unit @t29)) % 0.42/0.86 (define @t41 () (@var "N2" tptp.nat)) % 0.42/0.86 (define @t42 () (_ tptp.suc tptp.zero_zero_nat)) % 0.42/0.86 (define @t43 () (_ tptp.minus_minus_nat @t41)) % 0.42/0.86 (define @t44 () (_ @t43 @t42)) % 0.42/0.86 (define @t45 () (_ tptp.suc @t44)) % 0.42/0.86 (define @t46 () (= @t45 @t41)) % 0.42/0.86 (define @t47 () (_ @t1 @t41)) % 0.42/0.86 (define @t48 () (=> @t47 @t46)) % 0.42/0.86 (define @t49 () (@list @t41)) % 0.42/0.86 (define @t50 () (forall @t49 @t48)) % 0.42/0.86 (define @t51 () (@var "M" tptp.nat)) % 0.42/0.86 (define @t52 () (_ tptp.ord_less_nat @t51)) % 0.42/0.86 (define @t53 () (_ @t52 @t41)) % 0.42/0.86 (define @t54 () (_ @t43 @t51)) % 0.42/0.86 (define @t55 () (@list @t41 @t51)) % 0.42/0.86 (define @t56 () (= @t41 tptp.zero_zero_nat)) % 0.42/0.86 (define @t57 () (_ tptp.ord_less_nat @t41)) % 0.42/0.86 (define @t58 () (_ tptp.suc @t41)) % 0.42/0.86 (define @t59 () (_ tptp.minus_minus_nat tptp.zero_zero_nat)) % 0.42/0.86 (define @t60 () (_ tptp.minus_minus_nat @t51)) % 0.42/0.86 (define @t61 () (@list @t51)) % 0.42/0.86 (define @t62 () (_ @t60 @t41)) % 0.42/0.86 (define @t63 () (_ tptp.suc @t51)) % 0.42/0.86 (define @t64 () (_ tptp.minus_minus_nat @t63)) % 0.42/0.86 (define @t65 () (@list @t51 @t41)) % 0.42/0.86 (define @t66 () (@var "K" tptp.nat)) % 0.42/0.86 (define @t67 () (_ @t64 @t41)) % 0.42/0.86 (define @t68 () (not @t56)) % 0.42/0.86 (define @t69 () (@var "Nat2" tptp.nat)) % 0.42/0.86 (define @t70 () (@var "Nat" tptp.nat)) % 0.42/0.86 (define @t71 () (_ tptp.suc @t69)) % 0.42/0.86 (define @t72 () (@var "Y2" tptp.nat)) % 0.42/0.86 (define @t73 () (@var "X2" tptp.nat)) % 0.42/0.86 (define @t74 () (_ tptp.suc @t73)) % 0.42/0.86 (define @t75 () (@var "A" tptp.nat)) % 0.42/0.86 (define @t76 () (_ tptp.minus_minus_nat @t75)) % 0.42/0.86 (define @t77 () (@list @t75)) % 0.42/0.86 (define @t78 () (_ tptp.ord_less_nat @t63)) % 0.42/0.86 (define @t79 () (_ @t78 @t58)) % 0.42/0.86 (define @t80 () (= @t75 tptp.zero_zero_nat)) % 0.42/0.86 (define @t81 () (_ tptp.ord_less_eq_nat tptp.n1)) % 0.42/0.86 (define @t82 () (@var "X" tptp.nat)) % 0.42/0.86 (define @t83 () (@list @t82)) % 0.42/0.86 (define @t84 () (@var "C" tptp.nat)) % 0.42/0.86 (define @t85 () (@var "B" tptp.nat)) % 0.42/0.86 (define @t86 () (_ @t76 @t84)) % 0.42/0.86 (define @t87 () (@list @t75 @t84 @t85)) % 0.42/0.86 (define @t88 () (@var "Y" tptp.nat)) % 0.42/0.86 (define @t89 () (= @t82 @t88)) % 0.42/0.86 (define @t90 () (@list @t82 @t88)) % 0.42/0.86 (define @t91 () (@var "P" (-> tptp.nat Bool))) % 0.42/0.86 (define @t92 () (_ @t91 @t41)) % 0.42/0.86 (define @t93 () (@var "M2" tptp.nat)) % 0.42/0.86 (define @t94 () (_ @t91 @t93)) % 0.42/0.86 (define @t95 () (_ (_ tptp.ord_less_nat @t93) @t7)) % 0.42/0.86 (define @t96 () (@list @t93)) % 0.42/0.86 (define @t97 () (_ @t91 @t7)) % 0.42/0.86 (define @t98 () (=> (not @t97) (exists @t96 (and @t95 (not @t94))))) % 0.42/0.86 (define @t99 () (@list @t7)) % 0.42/0.86 (define @t100 () (@list @t91 @t41)) % 0.42/0.86 (define @t101 () (@var "T" tptp.nat)) % 0.42/0.86 (define @t102 () (@var "S" tptp.nat)) % 0.42/0.86 (define @t103 () (= @t51 @t41)) % 0.42/0.86 (define @t104 () (not @t103)) % 0.42/0.86 (define @t105 () (_ @t57 @t51)) % 0.42/0.86 (define @t106 () (@var "Y" tptp.list_c1059388851t_unit)) % 0.42/0.86 (define @t107 () (@var "X" tptp.list_c1059388851t_unit)) % 0.42/0.86 (define @t108 () (@var "Y" tptp.list_message_p_v)) % 0.42/0.86 (define @t109 () (@var "X" tptp.list_message_p_v)) % 0.42/0.86 (define @t110 () (@var "J" tptp.nat)) % 0.42/0.86 (define @t111 () (@var "I" tptp.nat)) % 0.42/0.86 (define @t112 () (_ tptp.minus_minus_nat @t111)) % 0.42/0.86 (define @t113 () (@list @t111 @t110 @t66)) % 0.42/0.86 (define @t114 () (@var "M3" tptp.nat)) % 0.42/0.86 (define @t115 () (_ tptp.suc @t114)) % 0.42/0.86 (define @t116 () (@list @t114)) % 0.42/0.86 (define @t117 () (exists @t116 (= @t41 @t115))) % 0.42/0.86 (define @t118 () (@var "Nat3" tptp.nat)) % 0.42/0.86 (define @t119 () (_ tptp.suc @t118)) % 0.42/0.86 (define @t120 () (@list @t118)) % 0.42/0.86 (define @t121 () (_ @t91 tptp.zero_zero_nat)) % 0.42/0.86 (define @t122 () (_ @t91 @t8)) % 0.42/0.86 (define @t123 () (=> @t122 @t97)) % 0.42/0.86 (define @t124 () (forall @t99 @t123)) % 0.42/0.86 (define @t125 () (_ @t91 @t66)) % 0.42/0.86 (define @t126 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 0.42/0.86 (define @t127 () (@var "Y3" tptp.nat)) % 0.42/0.86 (define @t128 () (_ tptp.suc @t127)) % 0.42/0.86 (define @t129 () (@var "X3" tptp.nat)) % 0.42/0.86 (define @t130 () (_ @t126 @t129)) % 0.42/0.86 (define @t131 () (@list @t127)) % 0.42/0.86 (define @t132 () (@list @t129)) % 0.42/0.86 (define @t133 () (=> @t97 @t122)) % 0.42/0.86 (define @t134 () (@list @t69)) % 0.42/0.86 (define @t135 () (_ @t57 @t63)) % 0.42/0.86 (define @t136 () (= @t135 (= @t41 @t51))) % 0.42/0.86 (define @t137 () (not @t105)) % 0.42/0.86 (define @t138 () (_ @t91 @t111)) % 0.42/0.86 (define @t139 () (@var "I2" tptp.nat)) % 0.42/0.86 (define @t140 () (_ @t91 @t139)) % 0.42/0.86 (define @t141 () (_ tptp.suc @t139)) % 0.42/0.86 (define @t142 () (_ @t91 @t141)) % 0.42/0.86 (define @t143 () (_ tptp.ord_less_nat @t139)) % 0.42/0.86 (define @t144 () (@list @t139)) % 0.42/0.86 (define @t145 () (_ tptp.ord_less_nat @t111)) % 0.42/0.86 (define @t146 () (_ @t145 @t110)) % 0.42/0.86 (define @t147 () (@list @t111 @t110 @t91)) % 0.42/0.86 (define @t148 () (@var "K2" tptp.nat)) % 0.42/0.86 (define @t149 () (_ @t126 @t139)) % 0.42/0.86 (define @t150 () (@var "J2" tptp.nat)) % 0.42/0.86 (define @t151 () (_ @t143 @t150)) % 0.42/0.86 (define @t152 () (_ tptp.suc @t111)) % 0.42/0.86 (define @t153 () (_ (_ tptp.ord_less_nat @t152) @t66)) % 0.42/0.86 (define @t154 () (_ (_ tptp.ord_less_nat @t110) @t66)) % 0.42/0.86 (define @t155 () (@var "M4" tptp.nat)) % 0.42/0.86 (define @t156 () (@var "I3" tptp.nat)) % 0.42/0.86 (define @t157 () (_ @t91 @t156)) % 0.42/0.86 (define @t158 () (_ tptp.ord_less_nat @t156)) % 0.42/0.86 (define @t159 () (_ @t158 @t41)) % 0.42/0.86 (define @t160 () (@list @t156)) % 0.42/0.86 (define @t161 () (_ @t158 @t58)) % 0.42/0.86 (define @t162 () (forall @t160 (=> @t161 @t157))) % 0.42/0.86 (define @t163 () (@list @t41 @t91)) % 0.42/0.86 (define @t164 () (not @t53)) % 0.42/0.86 (define @t165 () (or @t53 @t103)) % 0.42/0.86 (define @t166 () (_ @t52 @t58)) % 0.42/0.86 (define @t167 () (exists @t160 (and @t161 @t157))) % 0.42/0.86 (define @t168 () (_ @t78 @t41)) % 0.42/0.86 (define @t169 () (not (forall (@list @t150) (=> (_ @t145 @t150) (not (= @t66 (_ tptp.suc @t150))))))) % 0.42/0.86 (define @t170 () (@list @t111 @t66)) % 0.42/0.86 (define @t171 () (_ tptp.ord_less_nat @t75)) % 0.42/0.86 (define @t172 () (_ @t1 @t7)) % 0.42/0.86 (define @t173 () (= @t62 tptp.zero_zero_nat)) % 0.42/0.86 (define @t174 () (@var "L" tptp.nat)) % 0.42/0.86 (define @t175 () (_ tptp.minus_minus_nat @t174)) % 0.42/0.86 (define @t176 () (_ @t175 @t51)) % 0.42/0.86 (define @t177 () (_ @t175 @t41)) % 0.42/0.86 (define @t178 () (@list @t51 @t41 @t174)) % 0.42/0.86 (define @t179 () (@var "F" (-> tptp.nat tptp.nat))) % 0.42/0.86 (define @t180 () (_ @t179 @t41)) % 0.42/0.86 (define @t181 () (_ tptp.ord_less_nat @t180)) % 0.42/0.86 (define @t182 () (_ @t179 @t8)) % 0.42/0.86 (define @t183 () (_ @t179 @t7)) % 0.42/0.86 (define @t184 () (forall @t99 (_ (_ tptp.ord_less_nat @t183) @t182))) % 0.42/0.86 (define @t185 () (@var "N3" tptp.nat)) % 0.42/0.86 (define @t186 () (_ @t179 @t185)) % 0.42/0.86 (define @t187 () (@list @t179 @t41 @t185)) % 0.42/0.86 (define @t188 () (@var "J3" tptp.nat)) % 0.42/0.86 (define @t189 () (_ @t91 (_ tptp.suc @t156))) % 0.42/0.86 (define @t190 () (@var "M5" tptp.nat)) % 0.42/0.86 (define @t191 () (_ tptp.ord_less_nat @t62)) % 0.42/0.86 (define @t192 () (_ @t60 @t58)) % 0.42/0.86 (define @t193 () (@var "I4" tptp.nat)) % 0.42/0.86 (define @t194 () (_ tptp.nth_co1649820636t_unit @t29)) % 0.42/0.86 (define @t195 () (_ @t194 @t193)) % 0.42/0.86 (define @t196 () (_ tptp.nth_co1649820636t_unit @t33)) % 0.42/0.86 (define @t197 () (_ tptp.ord_less_nat @t193)) % 0.42/0.86 (define @t198 () (@list @t193)) % 0.42/0.86 (define @t199 () (_ @t194 tptp.nMsg)) % 0.42/0.86 (define @t200 () (_ @t196 tptp.nMsg)) % 0.42/0.86 (define @t201 () (_ tptp.size_s1168481041ge_p_v @t28)) % 0.42/0.86 (define @t202 () (_ tptp.ft tptp.index)) % 0.42/0.86 (define @t203 () (_ tptp.size_s1168481041ge_p_v @t202)) % 0.42/0.86 (define @t204 () (_ tptp.suc @t193)) % 0.42/0.86 (define @t205 () (@var "Pr" (-> tptp.nat Bool))) % 0.42/0.86 (define @t206 () (@var "N22" tptp.nat)) % 0.42/0.86 (define @t207 () (_ tptp.ord_less_nat @t7)) % 0.42/0.86 (define @t208 () (not (= @t33 tptp.nil_co1338500125t_unit))) % 0.42/0.86 (define @t209 () (_ tptp.minus_minus_nat tptp.nMsg)) % 0.42/0.86 (define @t210 () (_ @t209 tptp.one_one_nat)) % 0.42/0.86 (define @t211 () (_ tptp.nth_message_p_v @t202)) % 0.42/0.86 (define @t212 () (@var "P2" tptp.p)) % 0.42/0.86 (define @t213 () (_ tptp.isReceiverOf_p_v @t212)) % 0.42/0.86 (define @t214 () (@list @t212)) % 0.42/0.86 (define @t215 () (_ tptp.nth_message_p_v @t28)) % 0.42/0.86 (define @t216 () (_ @t215 @t193)) % 0.42/0.86 (define @t217 () (_ tptp.ord_less_eq_nat @t41)) % 0.42/0.86 (define @t218 () (_ @t217 @t51)) % 0.42/0.86 (define @t219 () (_ tptp.ord_less_eq_nat @t58)) % 0.42/0.86 (define @t220 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 0.42/0.86 (define @t221 () (_ @t220 @t41)) % 0.42/0.86 (define @t222 () (_ tptp.ord_less_eq_nat @t111)) % 0.42/0.86 (define @t223 () (_ (_ tptp.minus_minus_nat @t40) tptp.one_one_nat)) % 0.42/0.86 (define @t224 () (_ tptp.minus_minus_nat @t34)) % 0.42/0.86 (define @t225 () (_ tptp.ord_less_eq_nat (_ @t224 tptp.one_one_nat))) % 0.42/0.86 (define @t226 () (= tptp.msg @t216)) % 0.42/0.86 (define @t227 () (_ (_ tptp.ord_less_eq_nat @t203) @t193)) % 0.42/0.86 (define @t228 () (_ @t197 @t201)) % 0.42/0.86 (define @t229 () (@var "N4" tptp.nat)) % 0.42/0.86 (define @t230 () (_ @t215 @t229)) % 0.42/0.86 (define @t231 () (_ @t211 @t229)) % 0.42/0.86 (define @t232 () (_ tptp.ord_less_nat @t229)) % 0.42/0.86 (define @t233 () (_ @t232 @t203)) % 0.42/0.86 (define @t234 () (_ (_ tptp.ord_less_eq_nat tptp.nMsg) @t229)) % 0.42/0.86 (define @t235 () (@list @t229)) % 0.42/0.86 (define @t236 () (_ tptp.ord_less_eq_nat @t51)) % 0.42/0.86 (define @t237 () (_ @t236 @t41)) % 0.42/0.86 (define @t238 () (_ @t232 @t201)) % 0.42/0.86 (define @t239 () (_ @t225 @t193)) % 0.42/0.86 (define @t240 () (_ @t43 tptp.one_one_nat)) % 0.42/0.86 (define @t241 () (_ tptp.suc @t240)) % 0.42/0.86 (define @t242 () (@var "N0" tptp.nat)) % 0.42/0.86 (define @t243 () (_ tptp.ft @t229)) % 0.42/0.86 (define @t244 () (_ tptp.ft tptp.n)) % 0.42/0.86 (define @t245 () (_ tptp.size_s1168481041ge_p_v @t244)) % 0.42/0.86 (define @t246 () (_ tptp.ord_less_nat @t242)) % 0.42/0.86 (define @t247 () (@list @t242)) % 0.42/0.86 (define @t248 () (_ tptp.ord_less_eq_nat tptp.n)) % 0.42/0.86 (define @t249 () (_ @t222 @t110)) % 0.42/0.86 (define @t250 () (@var "Y4" tptp.nat)) % 0.42/0.86 (define @t251 () (@var "L3" tptp.list_message_p_v)) % 0.42/0.86 (define @t252 () (@var "L1" tptp.list_message_p_v)) % 0.42/0.86 (define @t253 () (_ tptp.prefix47729710ge_p_v @t252)) % 0.42/0.86 (define @t254 () (@var "L2" tptp.list_message_p_v)) % 0.42/0.86 (define @t255 () (_ @t253 @t254)) % 0.42/0.86 (define @t256 () (@var "L3" tptp.list_c1059388851t_unit)) % 0.42/0.86 (define @t257 () (@var "L1" tptp.list_c1059388851t_unit)) % 0.42/0.86 (define @t258 () (_ tptp.prefix1615116500t_unit @t257)) % 0.42/0.86 (define @t259 () (@var "L2" tptp.list_c1059388851t_unit)) % 0.42/0.86 (define @t260 () (_ @t258 @t259)) % 0.42/0.86 (define @t261 () (@var "N02" tptp.nat)) % 0.42/0.86 (define @t262 () (_ @t91 @t261)) % 0.42/0.86 (define @t263 () (@list @t261)) % 0.42/0.86 (define @t264 () (@var "X_1" tptp.nat)) % 0.42/0.86 (define @t265 () (exists (@list @t264) (_ @t91 @t264))) % 0.42/0.86 (define @t266 () (@list @t91)) % 0.42/0.86 (define @t267 () (_ @t217 @t185)) % 0.42/0.86 (define @t268 () (@var "Q" (-> tptp.nat Bool))) % 0.42/0.86 (define @t269 () (@var "Low" tptp.nat)) % 0.42/0.86 (define @t270 () (_ tptp.ord_less_eq_nat @t269)) % 0.42/0.86 (define @t271 () (@var "Index" tptp.nat)) % 0.42/0.86 (define @t272 () (_ tptp.size_s1168481041ge_p_v @t252)) % 0.42/0.86 (define @t273 () (_ tptp.ord_less_nat @t271)) % 0.42/0.86 (define @t274 () (@list @t271)) % 0.42/0.86 (define @t275 () (@list @t252 @t254)) % 0.42/0.86 (define @t276 () (_ tptp.size_s1406904903t_unit @t257)) % 0.42/0.86 (define @t277 () (@list @t257 @t259)) % 0.42/0.86 (define @t278 () (_ (_ tptp.ord_less_eq_nat @t63) @t41)) % 0.42/0.86 (define @t279 () (= @t51 @t58)) % 0.42/0.86 (define @t280 () (not @t237)) % 0.42/0.86 (define @t281 () (_ @t236 @t58)) % 0.42/0.86 (define @t282 () (@var "M6" tptp.nat)) % 0.42/0.86 (define @t283 () (@var "R" (-> tptp.nat tptp.nat Bool))) % 0.42/0.86 (define @t284 () (@var "Z" tptp.nat)) % 0.42/0.86 (define @t285 () (_ @t283 @t129)) % 0.42/0.86 (define @t286 () (_ tptp.ord_less_eq_nat @t75)) % 0.42/0.86 (define @t287 () (_ @t286 tptp.zero_zero_nat)) % 0.42/0.86 (define @t288 () (@var "N5" tptp.nat)) % 0.42/0.86 (define @t289 () (= @t190 @t288)) % 0.42/0.86 (define @t290 () (@list @t190 @t288)) % 0.42/0.86 (define @t291 () (_ @t43 @t66)) % 0.42/0.86 (define @t292 () (_ @t60 @t66)) % 0.42/0.86 (define @t293 () (_ tptp.ord_less_eq_nat @t66)) % 0.42/0.86 (define @t294 () (_ @t293 @t41)) % 0.42/0.86 (define @t295 () (_ @t293 @t51)) % 0.42/0.86 (define @t296 () (@list @t66 @t51 @t41)) % 0.42/0.86 (define @t297 () (_ @t43 @t174)) % 0.42/0.86 (define @t298 () (_ @t60 @t174)) % 0.42/0.86 (define @t299 () (_ (_ tptp.ord_less_eq_nat @t298) @t297)) % 0.42/0.86 (define @t300 () (forall @t178 (=> @t237 @t299))) % 0.42/0.86 (define @t301 () (_ tptp.ord_less_eq_nat @t85)) % 0.42/0.86 (define @t302 () (_ tptp.minus_minus_nat @t84)) % 0.42/0.86 (define @t303 () (_ @t91 @t110)) % 0.42/0.86 (define @t304 () (_ @t207 @t110)) % 0.42/0.86 (define @t305 () (_ @t222 @t7)) % 0.42/0.86 (define @t306 () (@var "__flatten_var_0" tptp.nat)) % 0.42/0.86 (define @t307 () (not (_ @t91 @t193))) % 0.42/0.86 (define @t308 () (@list @t148)) % 0.42/0.86 (define @t309 () (not @t121)) % 0.42/0.86 (define @t310 () (_ (_ tptp.minus_minus_nat tptp.n1) tptp.one_one_nat)) % 0.42/0.86 (define @t311 () (@var "Xs" tptp.list_c1059388851t_unit)) % 0.42/0.86 (define @t312 () (= @t311 tptp.nil_co1338500125t_unit)) % 0.42/0.86 (define @t313 () (not @t312)) % 0.42/0.86 (define @t314 () (_ tptp.size_s1406904903t_unit @t311)) % 0.42/0.86 (define @t315 () (= (_ @t1 @t314) @t313)) % 0.42/0.86 (define @t316 () (@list @t311)) % 0.42/0.86 (define @t317 () (forall @t316 @t315)) % 0.42/0.86 (define @t318 () (@var "Xs" tptp.list_message_p_v)) % 0.42/0.86 (define @t319 () (= @t318 tptp.nil_message_p_v)) % 0.42/0.86 (define @t320 () (not @t319)) % 0.42/0.86 (define @t321 () (_ tptp.size_s1168481041ge_p_v @t318)) % 0.42/0.86 (define @t322 () (@list @t318)) % 0.42/0.86 (define @t323 () (_ tptp.fe tptp.n)) % 0.42/0.86 (define @t324 () (_ tptp.size_s1406904903t_unit @t323)) % 0.42/0.86 (define @t325 () (_ tptp.nth_co1649820636t_unit @t323)) % 0.42/0.86 (define @t326 () (@var "Msg" tptp.message_p_v)) % 0.42/0.86 (define @t327 () (@var "N03" tptp.nat)) % 0.42/0.86 (define @t328 () (_ tptp.ft @t41)) % 0.42/0.86 (define @t329 () (_ tptp.ord_less_nat @t327)) % 0.42/0.86 (define @t330 () (@var "N1" tptp.nat)) % 0.42/0.86 (define @t331 () (_ tptp.ord_less_eq_nat @t330)) % 0.42/0.86 (define @t332 () (@list @t327)) % 0.42/0.86 (define @t333 () (_ tptp.fe @t41)) % 0.42/0.86 (define @t334 () (_ tptp.nth_co1649820636t_unit @t333)) % 0.42/0.86 (define @t335 () (= @t314 tptp.zero_zero_nat)) % 0.42/0.86 (define @t336 () (forall @t316 (= @t335 @t312))) % 0.42/0.86 (define @t337 () (_ tptp.last_c571238084t_unit @t33)) % 0.42/0.86 (define @t338 () (_ (_ tptp.enabled_p_v_s (_ tptp.last_c571238084t_unit @t323)) tptp.msg)) % 0.42/0.86 (define @t339 () (@var "Ys" tptp.list_c1059388851t_unit)) % 0.42/0.86 (define @t340 () (= @t311 @t339)) % 0.42/0.86 (define @t341 () (= @t314 (_ tptp.size_s1406904903t_unit @t339))) % 0.42/0.86 (define @t342 () (@list @t311 @t339)) % 0.42/0.86 (define @t343 () (@var "Ys" tptp.list_message_p_v)) % 0.42/0.86 (define @t344 () (= @t318 @t343)) % 0.42/0.86 (define @t345 () (= @t321 (_ tptp.size_s1168481041ge_p_v @t343))) % 0.42/0.86 (define @t346 () (@list @t318 @t343)) % 0.42/0.86 (define @t347 () (@var "Xs2" tptp.list_c1059388851t_unit)) % 0.42/0.86 (define @t348 () (_ tptp.size_s1406904903t_unit @t347)) % 0.42/0.86 (define @t349 () (@list @t347)) % 0.42/0.86 (define @t350 () (@var "Xs2" tptp.list_message_p_v)) % 0.42/0.86 (define @t351 () (_ tptp.size_s1168481041ge_p_v @t350)) % 0.42/0.86 (define @t352 () (@list @t350)) % 0.42/0.86 (define @t353 () (@var "P" (-> tptp.list_c1059388851t_unit Bool))) % 0.42/0.86 (define @t354 () (@var "Ys2" tptp.list_c1059388851t_unit)) % 0.42/0.86 (define @t355 () (@var "P" (-> tptp.list_message_p_v Bool))) % 0.42/0.86 (define @t356 () (@var "Ys2" tptp.list_message_p_v)) % 0.42/0.86 (define @t357 () (_ tptp.size_s1406904903t_unit tptp.nil_co1338500125t_unit)) % 0.42/0.86 (define @t358 () (@var "Ys3" tptp.list_c1059388851t_unit)) % 0.42/0.86 (define @t359 () (@var "Xs3" tptp.list_c1059388851t_unit)) % 0.42/0.86 (define @t360 () (_ (_ tptp.nth_co1649820636t_unit @t359) @t156)) % 0.42/0.86 (define @t361 () (_ tptp.size_s1406904903t_unit @t359)) % 0.42/0.86 (define @t362 () (@var "Z2" tptp.list_c1059388851t_unit)) % 0.42/0.86 (define @t363 () (@var "Y5" tptp.list_c1059388851t_unit)) % 0.42/0.86 (define @t364 () (@var "Ys3" tptp.list_message_p_v)) % 0.42/0.86 (define @t365 () (@var "Xs3" tptp.list_message_p_v)) % 0.42/0.86 (define @t366 () (_ (_ tptp.nth_message_p_v @t365) @t156)) % 0.42/0.86 (define @t367 () (_ tptp.size_s1168481041ge_p_v @t365)) % 0.42/0.86 (define @t368 () (@var "Z2" tptp.list_message_p_v)) % 0.42/0.86 (define @t369 () (@var "Y5" tptp.list_message_p_v)) % 0.42/0.86 (define @t370 () (@var "P" (-> tptp.nat tptp.config256849571t_unit Bool))) % 0.42/0.86 (define @t371 () (_ @t370 @t156)) % 0.42/0.86 (define @t372 () (_ @t158 @t66)) % 0.42/0.86 (define @t373 () (@var "X4" tptp.config256849571t_unit)) % 0.42/0.86 (define @t374 () (@var "P" (-> tptp.nat tptp.message_p_v Bool))) % 0.42/0.86 (define @t375 () (_ @t374 @t156)) % 0.42/0.86 (define @t376 () (@var "X4" tptp.message_p_v)) % 0.42/0.86 (define @t377 () (_ tptp.nth_co1649820636t_unit @t311)) % 0.42/0.86 (define @t378 () (_ tptp.nth_message_p_v @t318)) % 0.42/0.86 (define @t379 () (_ tptp.nth_message_p_v @t244)) % 0.42/0.86 (define @t380 () (_ tptp.ord_less_eq_nat tptp.n0)) % 0.42/0.86 (define @t381 () (_ @t380 @t327)) % 0.42/0.86 (define @t382 () (exists @t332 (and @t381 (_ @t329 @t245) (= (_ @t379 @t327) tptp.msg)))) % 0.42/0.86 (define @t383 () (@var "N6" tptp.nat)) % 0.42/0.86 (define @t384 () (_ tptp.ft @t383)) % 0.42/0.86 (define @t385 () (_ tptp.enabled_p_v_s (_ tptp.last_c571238084t_unit @t29))) % 0.42/0.86 (define @t386 () (_ @t224 @t42)) % 0.42/0.86 (define @t387 () (@var "N7" tptp.nat)) % 0.42/0.86 (define @t388 () (_ tptp.fe @t387)) % 0.42/0.86 (define @t389 () (_ tptp.msgs_p1029620568t_unit (_ tptp.last_c571238084t_unit @t388))) % 0.42/0.86 (define @t390 () (@var "N04" tptp.nat)) % 0.42/0.86 (define @t391 () (@var "X5" tptp.message_p_v)) % 0.42/0.86 (define @t392 () (_ @t209 @t42)) % 0.42/0.86 (define @t393 () (not (_ (_ tptp.ord_less_nat @t392) @t386))) % 0.42/0.86 (define @t394 () (lambda @t290 (and (_ (_ tptp.ord_less_eq_nat @t190) @t288) (not @t289)))) % 0.42/0.86 (define @t395 () (tptp.suc tptp.index)) % 0.42/0.86 (define @t396 () (tptp.ft @t395)) % 0.42/0.86 (define @t397 () (tptp.fe @t395)) % 0.42/0.86 (define @t398 () (tptp.firstO1414030372_p_v_s @t397 @t396 tptp.msg tptp.nMsg)) % 0.42/0.86 (define @t399 () (_ (_ (_ tptp.firstO1414030372_p_v_s @t397) @t396) tptp.msg)) % 0.42/0.86 (define @t400 () (tptp.size_s1406904903t_unit tptp.nil_co1338500125t_unit)) % 0.42/0.86 (define @t401 () (tptp.suc @t357)) % 0.42/0.86 (define @t402 () (tptp.minus_minus_nat @t41 @t401)) % 0.42/0.86 (define @t403 () (tptp.suc @t402)) % 0.42/0.86 (define @t404 () (= @t41 @t403)) % 0.42/0.86 (define @t405 () (= @t41 @t357)) % 0.42/0.86 (define @t406 () (tptp.ord_less_eq_nat @t357 @t41)) % 0.42/0.86 (define @t407 () (not @t406)) % 0.42/0.86 (define @t408 () (or @t407 @t405 @t404)) % 0.42/0.86 (define @t409 () (or @t407 (= @t357 @t41) @t404)) % 0.42/0.86 (define @t410 () (tptp.suc tptp.zero_zero_nat)) % 0.42/0.86 (define @t411 () (tptp.minus_minus_nat @t41 @t410)) % 0.42/0.86 (define @t412 () (tptp.suc @t411)) % 0.42/0.86 (define @t413 () (= @t41 @t412)) % 0.42/0.86 (define @t414 () (= tptp.zero_zero_nat @t41)) % 0.42/0.86 (define @t415 () (tptp.ord_less_eq_nat tptp.zero_zero_nat @t41)) % 0.42/0.86 (define @t416 () (not @t415)) % 0.42/0.86 (define @t417 () (or @t416 @t414 @t413)) % 0.42/0.86 (define @t418 () (= @t41 @t45)) % 0.42/0.86 (define @t419 () (not @t221)) % 0.42/0.86 (define @t420 () (or @t419 @t414 @t418)) % 0.42/0.86 (define @t421 () (not @t414)) % 0.42/0.86 (define @t422 () (and @t221 @t421)) % 0.42/0.86 (define @t423 () (@list @t288)) % 0.42/0.86 (define @t424 () (lambda @t423 (and (_ @t220 @t288) (not (= tptp.zero_zero_nat @t288))))) % 0.42/0.86 (define @t425 () (_ @t394 tptp.zero_zero_nat)) % 0.42/0.86 (define @t426 () (=> (_ @t425 @t41) @t46)) % 0.42/0.86 (define @t427 () (@list tptp.nMsg)) % 0.42/0.86 (define @t428 () (= tptp.nMsg @t357)) % 0.42/0.86 (define @t429 () (not @t428)) % 0.42/0.86 (define @t430 () (tptp.ord_less_eq_nat @t400 tptp.nMsg)) % 0.42/0.86 (define @t431 () (_ (_ tptp.ord_less_eq_nat @t357) tptp.nMsg)) % 0.42/0.86 (define @t432 () (not (= @t357 tptp.nMsg))) % 0.42/0.86 (define @t433 () (= tptp.zero_zero_nat tptp.nMsg)) % 0.42/0.86 (define @t434 () (not @t433)) % 0.42/0.86 (define @t435 () (and (_ @t220 tptp.nMsg) @t434)) % 0.42/0.86 (define @t436 () (tptp.suc @t400)) % 0.42/0.86 (define @t437 () (tptp.minus_minus_nat tptp.nMsg @t436)) % 0.42/0.86 (define @t438 () (= tptp.nMsg (tptp.suc @t437))) % 0.42/0.86 (define @t439 () (= tptp.nMsg @t400)) % 0.42/0.86 (define @t440 () (not @t430)) % 0.42/0.86 (define @t441 () (or @t440 @t439 @t438)) % 0.42/0.86 (define @t442 () (tptp.minus_minus_nat @t41 @t174)) % 0.42/0.86 (define @t443 () (tptp.minus_minus_nat @t51 @t174)) % 0.42/0.86 (define @t444 () (tptp.ord_less_eq_nat @t443 @t442)) % 0.42/0.86 (define @t445 () (tptp.ord_less_eq_nat @t51 @t41)) % 0.42/0.86 (define @t446 () (or @t280 @t299)) % 0.42/0.86 (define @t447 () (tptp.fe tptp.index)) % 0.42/0.86 (define @t448 () (tptp.size_s1406904903t_unit @t447)) % 0.42/0.86 (define @t449 () (tptp.firstO1414030372_p_v_s @t397 @t396 tptp.msg @t448)) % 0.42/0.86 (define @t450 () (not @t449)) % 0.42/0.86 (define @t451 () (not (= @t448 @t448))) % 0.42/0.86 (define @t452 () (or @t451 @t450)) % 0.42/0.86 (define @t453 () (@var "BOUND_VARIABLE_9256" tptp.nat)) % 0.42/0.86 (define @t454 () (not (tptp.firstO1414030372_p_v_s @t397 @t396 tptp.msg @t453))) % 0.42/0.86 (define @t455 () (not (= @t448 @t453))) % 0.42/0.86 (define @t456 () (not (= @t453 @t448))) % 0.42/0.86 (define @t457 () (@list @t453)) % 0.42/0.86 (define @t458 () (or @t455 @t455 @t454)) % 0.42/0.86 (define @t459 () (or @t455 @t454)) % 0.42/0.86 (define @t460 () (or @t456 @t454)) % 0.42/0.86 (define @t461 () (forall @t457 @t460)) % 0.42/0.86 (define @t462 () (@var "BOUND_VARIABLE_9248" tptp.nat)) % 0.42/0.86 (define @t463 () (forall (@list @t462) (or (tptp.ord_less_eq_nat @t462 @t448) (not (tptp.firstO1414030372_p_v_s @t397 @t396 tptp.msg @t462))))) % 0.42/0.86 (define @t464 () (tptp.firstO1414030372_p_v_s @t397 @t396 tptp.msg @t35)) % 0.42/0.86 (define @t465 () (not @t464)) % 0.42/0.86 (define @t466 () (not (= @t35 @t448))) % 0.42/0.86 (define @t467 () (or @t466 @t465)) % 0.42/0.86 (define @t468 () (forall @t38 @t467)) % 0.42/0.86 (define @t469 () (@list @t35)) % 0.42/0.86 (define @t470 () (tptp.ord_less_eq_nat @t35 @t448)) % 0.42/0.86 (define @t471 () (or @t470 @t465)) % 0.42/0.86 (define @t472 () (forall @t38 @t471)) % 0.42/0.86 (define @t473 () (and @t472 @t468)) % 0.42/0.86 (define @t474 () (and @t470 @t466)) % 0.42/0.86 (define @t475 () (or @t474 @t465)) % 0.42/0.86 (define @t476 () (or @t465 @t474)) % 0.42/0.86 (define @t477 () (= @t35 @t34)) % 0.42/0.86 (define @t478 () (not @t477)) % 0.42/0.86 (define @t479 () (_ tptp.ord_less_eq_nat @t35)) % 0.42/0.86 (define @t480 () (_ @t479 @t34)) % 0.42/0.86 (define @t481 () (and @t480 @t478)) % 0.42/0.86 (define @t482 () (not @t36)) % 0.42/0.86 (define @t483 () (or @t482 @t481)) % 0.42/0.86 (define @t484 () (lambda @t423 (and (_ @t479 @t288) (not (= @t35 @t288))))) % 0.42/0.86 (define @t485 () (_ @t394 @t35)) % 0.42/0.86 (define @t486 () (=> @t36 (_ @t485 @t34))) % 0.42/0.86 (define @t487 () (not @t398)) % 0.42/0.86 (define @t488 () (tptp.ord_less_eq_nat tptp.nMsg @t448)) % 0.42/0.86 (define @t489 () (or @t488 @t487)) % 0.42/0.86 (define @t490 () (@list false false)) % 0.42/0.86 (define @t491 () (tptp.minus_minus_nat @t448 @t436)) % 0.42/0.86 (define @t492 () (tptp.ord_less_eq_nat @t437 @t491)) % 0.42/0.86 (define @t493 () (not @t488)) % 0.42/0.86 (define @t494 () (or @t493 @t492)) % 0.42/0.86 (define @t495 () (= @t491 @t437)) % 0.42/0.86 (define @t496 () (not @t492)) % 0.42/0.86 (define @t497 () (_ tptp.suc @t357)) % 0.42/0.86 (define @t498 () (_ @t209 @t497)) % 0.42/0.86 (define @t499 () (_ @t224 @t497)) % 0.42/0.86 (define @t500 () (= @t499 @t498)) % 0.42/0.86 (define @t501 () (not @t500)) % 0.42/0.86 (define @t502 () (_ (_ tptp.ord_less_eq_nat @t498) @t499)) % 0.42/0.86 (define @t503 () (and @t502 @t501)) % 0.42/0.86 (define @t504 () (= @t386 @t392)) % 0.42/0.86 (define @t505 () (not @t504)) % 0.42/0.86 (define @t506 () (_ tptp.ord_less_eq_nat @t392)) % 0.42/0.86 (define @t507 () (and (_ @t506 @t386) @t505)) % 0.42/0.86 (define @t508 () (_ @t506 @t288)) % 0.42/0.86 (define @t509 () (not (= @t392 @t288))) % 0.42/0.86 (define @t510 () (and @t508 @t509)) % 0.42/0.86 (define @t511 () (lambda @t423 @t510)) % 0.42/0.86 (define @t512 () (_ @t394 @t392)) % 0.42/0.86 (define @t513 () (@list false)) % 0.42/0.86 (define @t514 () (tptp.suc @t491)) % 0.42/0.86 (define @t515 () (tptp.size_s1406904903t_unit @t311)) % 0.42/0.86 (define @t516 () (= tptp.nil_co1338500125t_unit @t311)) % 0.42/0.86 (define @t517 () (= @t400 @t515)) % 0.42/0.86 (define @t518 () (= @t516 @t517)) % 0.42/0.86 (define @t519 () (= @t357 @t515)) % 0.42/0.86 (define @t520 () (= @t516 @t519)) % 0.42/0.86 (define @t521 () (= tptp.zero_zero_nat @t515)) % 0.42/0.86 (define @t522 () (= @t516 @t521)) % 0.42/0.86 (define @t523 () (= tptp.zero_zero_nat @t314)) % 0.42/0.86 (define @t524 () (= @t516 @t523)) % 0.42/0.86 (define @t525 () (@list @t447)) % 0.42/0.86 (define @t526 () (= tptp.nil_co1338500125t_unit @t33)) % 0.42/0.86 (define @t527 () (= @t448 @t400)) % 0.42/0.86 (define @t528 () (= tptp.nil_co1338500125t_unit @t447)) % 0.42/0.86 (define @t529 () (= @t528 @t527)) % 0.42/0.86 (define @t530 () (not @t527)) % 0.42/0.86 (define @t531 () (@list true false)) % 0.42/0.86 (define @t532 () (not @t517)) % 0.42/0.86 (define @t533 () (tptp.ord_less_eq_nat @t400 @t515)) % 0.42/0.86 (define @t534 () (and @t533 @t532)) % 0.42/0.86 (define @t535 () (not @t516)) % 0.42/0.86 (define @t536 () (= @t535 @t534)) % 0.42/0.86 (define @t537 () (not @t519)) % 0.42/0.86 (define @t538 () (tptp.ord_less_eq_nat @t357 @t515)) % 0.42/0.86 (define @t539 () (and @t538 @t537)) % 0.42/0.86 (define @t540 () (= @t535 @t539)) % 0.42/0.86 (define @t541 () (not @t521)) % 0.42/0.86 (define @t542 () (tptp.ord_less_eq_nat tptp.zero_zero_nat @t515)) % 0.42/0.86 (define @t543 () (and @t542 @t541)) % 0.42/0.86 (define @t544 () (= @t535 @t543)) % 0.42/0.86 (define @t545 () (not @t523)) % 0.42/0.86 (define @t546 () (_ @t220 @t314)) % 0.42/0.86 (define @t547 () (and @t546 @t545)) % 0.42/0.86 (define @t548 () (= @t535 @t547)) % 0.42/0.86 (define @t549 () (_ @t425 @t314)) % 0.42/0.86 (define @t550 () (tptp.ord_less_eq_nat @t400 @t448)) % 0.42/0.86 (define @t551 () (and @t550 @t530)) % 0.42/0.86 (define @t552 () (not @t528)) % 0.42/0.86 (define @t553 () (= @t552 @t551)) % 0.42/0.86 (define @t554 () (not @t553)) % 0.42/0.86 (define @t555 () (= @t448 @t514)) % 0.42/0.86 (define @t556 () (not @t550)) % 0.42/0.86 (define @t557 () (or @t556 @t527 @t555)) % 0.42/0.86 (assume @p1 (_ @t1 tptp.nMsg)) % 0.42/0.86 (assume @p2 (forall (@list @t14 @t6 @t5 @t4 @t3 @t2) (=> @t22 (=> @t21 (=> @t20 (=> @t18 (_ (_ (_ (_ @t6 @t5) @t4) @t3) @t2))))))) % 0.42/0.86 (assume @p3 (forall (@list @t14 @t6 @t26 @t25 @t24 @t23) (=> @t22 (=> @t21 (=> @t20 (=> @t18 (_ (_ (_ (_ @t14 @t26) @t25) @t24) @t23))))))) % 0.42/0.86 (assume @p4 @t32) % 0.42/0.86 (assume @p5 @t39) % 0.42/0.86 (assume @p6 (_ (_ tptp.ord_less_nat tptp.nMsg) @t40)) % 0.42/0.86 (assume @p7 (_ (_ tptp.ord_less_nat tptp.n1) @t40)) % 0.42/0.86 (assume @p8 @t50) % 0.42/0.86 (assume @p9 (forall @t55 (= (_ @t1 @t54) @t53))) % 0.42/0.86 (assume @p10 (forall @t49 (= (_ @t57 @t42) @t56))) % 0.42/0.86 (assume @p11 (forall @t49 (_ @t1 @t58))) % 0.42/0.86 (assume @p12 (forall @t49 (= (_ @t59 @t41) tptp.zero_zero_nat))) % 0.42/0.86 (assume @p13 (forall @t61 (= (_ @t60 @t51) tptp.zero_zero_nat))) % 0.42/0.86 (assume @p14 (forall @t65 (= (_ @t64 @t58) @t62))) % 0.42/0.86 (assume @p15 (forall (@list @t51 @t41 @t66) (= (_ (_ tptp.minus_minus_nat @t67) (_ tptp.suc @t66)) (_ (_ tptp.minus_minus_nat @t62) @t66)))) % 0.42/0.86 (assume @p16 (forall @t49 (= @t68 @t47))) % 0.42/0.86 (assume @p17 (forall @t49 (not (_ @t57 tptp.zero_zero_nat)))) % 0.42/0.86 (assume @p18 (forall (@list @t70 @t69) (= (= (_ tptp.suc @t70) @t71) (= @t70 @t69)))) % 0.42/0.86 (assume @p19 (forall (@list @t73 @t72) (= (= @t74 (_ tptp.suc @t72)) (= @t73 @t72)))) % 0.42/0.86 (assume @p20 (forall @t49 (= (not @t47) @t56))) % 0.42/0.86 (assume @p21 (forall @t77 (= (_ @t76 @t75) tptp.zero_zero_nat))) % 0.42/0.86 (assume @p22 (forall @t77 (= (_ @t76 tptp.zero_zero_nat) @t75))) % 0.42/0.86 (assume @p23 (forall @t77 (= (_ @t59 @t75) tptp.zero_zero_nat))) % 0.42/0.86 (assume @p24 (forall @t65 (= @t79 @t53))) % 0.42/0.86 (assume @p25 (forall @t65 (=> @t53 @t79))) % 0.42/0.86 (assume @p26 (forall @t49 (_ @t57 @t58))) % 0.42/0.86 (assume @p27 (forall @t77 (= (not @t80) (_ @t1 @t75)))) % 0.42/0.86 (assume @p28 (_ (_ @t30 tptp.msgInSet) tptp.n1)) % 0.42/0.86 (assume @p29 (_ @t81 tptp.nMsg)) % 0.42/0.86 (assume @p30 (forall @t83 (= (= tptp.zero_zero_nat @t82) (= @t82 tptp.zero_zero_nat)))) % 0.42/0.86 (assume @p31 (forall @t87 (= (_ (_ tptp.minus_minus_nat @t86) @t85) (_ (_ tptp.minus_minus_nat (_ @t76 @t85)) @t84)))) % 0.42/0.86 (assume @p32 (forall @t49 (not (= @t41 @t58)))) % 0.42/0.86 (assume @p33 (forall @t90 (=> (= (_ tptp.suc @t82) (_ tptp.suc @t88)) @t89))) % 0.42/0.86 (assume @p34 (forall @t90 (=> (not @t89) (=> (not (_ (_ tptp.ord_less_nat @t82) @t88)) (_ (_ tptp.ord_less_nat @t88) @t82))))) % 0.42/0.86 (assume @p35 (forall @t100 (=> (forall @t99 @t98) @t92))) % 0.42/0.86 (assume @p36 (forall @t100 (=> (forall @t99 (=> (forall @t96 (=> @t95 @t94)) @t97)) @t92))) % 0.42/0.86 (assume @p37 (forall @t49 (not (_ @t57 @t41)))) % 0.42/0.86 (assume @p38 (forall (@list @t102 @t101) (=> (_ (_ tptp.ord_less_nat @t102) @t101) (not (= @t102 @t101))))) % 0.42/0.86 (assume @p39 (forall @t55 (=> @t105 @t104))) % 0.42/0.86 (assume @p40 (forall @t65 (= @t104 (or @t53 @t105)))) % 0.42/0.86 (assume @p41 (forall (@list @t107 @t106) (=> (not (= (_ tptp.size_s1406904903t_unit @t107) (_ tptp.size_s1406904903t_unit @t106))) (not (= @t107 @t106))))) % 0.42/0.86 (assume @p42 (forall (@list @t109 @t108) (=> (not (= (_ tptp.size_s1168481041ge_p_v @t109) (_ tptp.size_s1168481041ge_p_v @t108))) (not (= @t109 @t108))))) % 0.42/0.86 (assume @p43 (forall @t113 (= (_ (_ tptp.minus_minus_nat (_ @t112 @t110)) @t66) (_ (_ tptp.minus_minus_nat (_ @t112 @t66)) @t110)))) % 0.42/0.86 (assume @p44 (forall @t49 (= @t47 @t68))) % 0.42/0.86 (assume @p45 (forall @t65 (=> @t53 @t68))) % 0.42/0.86 (assume @p46 (forall @t49 (=> @t68 @t47))) % 0.42/0.86 (assume @p47 (forall @t49 (=> @t68 @t117))) % 0.42/0.86 (assume @p48 (forall (@list @t91 @t70) (=> @t121 (=> (forall @t120 (=> (_ @t91 @t118) (_ @t91 @t119))) (_ @t91 @t70))))) % 0.42/0.86 (assume @p49 (forall (@list @t88) (=> (not (= @t88 tptp.zero_zero_nat)) (not (forall @t120 (not (= @t88 @t119))))))) % 0.42/0.86 (assume @p50 (forall @t61 (not (= tptp.zero_zero_nat @t63)))) % 0.42/0.86 (assume @p51 (forall @t61 (not (= @t63 tptp.zero_zero_nat)))) % 0.42/0.86 (assume @p52 (forall (@list @t91 @t66) (=> @t125 (=> @t124 @t121)))) % 0.42/0.86 (assume @p53 (forall (@list @t126 @t51 @t41) (=> (forall @t132 (_ @t130 tptp.zero_zero_nat)) (=> (forall @t131 (_ (_ @t126 tptp.zero_zero_nat) @t128)) (=> (forall (@list @t129 @t127) (=> (_ @t130 @t127) (_ (_ @t126 (_ tptp.suc @t129)) @t128))) (_ (_ @t126 @t51) @t41)))))) % 0.42/0.86 (assume @p54 (forall @t100 (=> @t121 (=> (forall @t99 @t133) @t92)))) % 0.42/0.86 (assume @p55 (forall (@list @t70 @t73) (=> (= @t70 @t74) (not (= @t70 tptp.zero_zero_nat))))) % 0.42/0.86 (assume @p56 (forall @t134 (not (= tptp.zero_zero_nat @t71)))) % 0.42/0.86 (assume @p57 (forall @t134 (not (= @t71 tptp.zero_zero_nat)))) % 0.42/0.86 (assume @p58 (forall (@list @t73) (not (= tptp.zero_zero_nat @t74)))) % 0.42/0.86 (assume @p59 (forall @t55 (=> @t137 @t136))) % 0.42/0.86 (assume @p60 (forall @t147 (=> @t146 (=> (forall @t144 (=> (= @t110 @t141) @t140)) (=> (forall @t144 (=> (_ @t143 @t110) (=> @t142 @t140))) @t138))))) % 0.42/0.86 (assume @p61 (forall (@list @t111 @t110 @t126) (=> @t146 (=> (forall @t144 (_ @t149 @t141)) (=> (forall (@list @t139 @t150 @t148) (=> @t151 (=> (_ (_ tptp.ord_less_nat @t150) @t148) (=> (_ @t149 @t150) (=> (_ (_ @t126 @t150) @t148) (_ @t149 @t148)))))) (_ (_ @t126 @t111) @t110)))))) % 0.42/0.86 (assume @p62 (forall @t113 (=> @t146 (=> @t154 @t153)))) % 0.42/0.86 (assume @p63 (forall @t65 (=> @t79 @t53))) % 0.42/0.86 (assume @p64 (forall @t55 (=> @t137 (=> @t135 @t103)))) % 0.42/0.86 (assume @p65 (forall @t55 (= (_ (_ tptp.ord_less_nat @t58) @t51) (exists (@list @t155) (and (= @t51 (_ tptp.suc @t155)) (_ @t57 @t155)))))) % 0.42/0.86 (assume @p66 (forall @t163 (= @t162 (and @t92 (forall @t160 (=> @t159 @t157)))))) % 0.42/0.86 (assume @p67 (forall @t65 (= @t164 @t135))) % 0.42/0.86 (assume @p68 (forall @t65 (= @t166 @t165))) % 0.42/0.86 (assume @p69 (forall @t163 (= @t167 (or @t92 (exists @t160 (and @t159 @t157)))))) % 0.42/0.86 (assume @p70 (forall @t65 (=> @t53 @t166))) % 0.42/0.86 (assume @p71 (forall @t65 (=> @t166 (=> @t164 @t103)))) % 0.42/0.86 (assume @p72 (forall @t65 (=> @t53 (=> (not (= @t63 @t41)) @t168)))) % 0.42/0.86 (assume @p73 (forall @t170 (=> @t153 @t169))) % 0.42/0.86 (assume @p74 (forall @t65 (=> @t168 @t53))) % 0.42/0.86 (assume @p75 (forall @t170 (=> (_ @t145 @t66) (=> (not (= @t66 @t152)) @t169)))) % 0.42/0.86 (assume @p76 (forall @t77 (not (_ @t171 tptp.zero_zero_nat)))) % 0.42/0.86 (assume @p77 (forall @t100 (=> @t121 (=> (forall @t99 (=> @t172 @t98)) @t92)))) % 0.42/0.86 (assume @p78 (forall (@list @t91 @t66 @t111) (=> @t125 (=> @t124 (_ @t91 (_ (_ tptp.minus_minus_nat @t66) @t111)))))) % 0.42/0.86 (assume @p79 (forall @t61 (= (_ @t60 tptp.zero_zero_nat) @t51))) % 0.42/0.86 (assume @p80 (forall @t65 (=> @t173 (=> (= @t54 tptp.zero_zero_nat) @t103)))) % 0.42/0.86 (assume @p81 (forall (@list @t110 @t66 @t41) (=> @t154 (_ (_ tptp.ord_less_nat (_ (_ tptp.minus_minus_nat @t110) @t41)) @t66)))) % 0.42/0.86 (assume @p82 (forall @t178 (=> @t53 (=> (_ @t52 @t174) (_ (_ tptp.ord_less_nat @t177) @t176))))) % 0.42/0.86 (assume @p83 (forall (@list @t179 @t41 @t51) (=> @t184 (= (_ @t181 (_ @t179 @t51)) @t105)))) % 0.42/0.86 (assume @p84 (forall @t187 (=> @t184 (=> (_ @t57 @t185) (_ @t181 @t186))))) % 0.42/0.86 (assume @p85 (forall @t65 (= @t166 (or (= @t51 tptp.zero_zero_nat) (exists (@list @t188) (and (= @t51 (_ tptp.suc @t188)) (_ (_ tptp.ord_less_nat @t188) @t41))))))) % 0.42/0.86 (assume @p86 (forall @t49 (=> @t47 @t117))) % 0.42/0.86 (assume @p87 (forall @t163 (= @t162 (and @t121 (forall @t160 (=> @t159 @t189)))))) % 0.42/0.86 (assume @p88 (forall @t49 (= @t47 (exists (@list @t190) (= @t41 (_ tptp.suc @t190)))))) % 0.42/0.86 (assume @p89 (forall @t163 (= @t167 (or @t121 (exists @t160 (and @t159 @t189)))))) % 0.42/0.86 (assume @p90 (forall @t65 (_ @t191 @t63))) % 0.42/0.86 (assume @p91 (forall @t55 (=> @t105 (= (_ tptp.suc @t192) @t62)))) % 0.42/0.86 (assume @p92 (forall @t55 (=> @t47 (=> (_ @t1 @t51) (_ @t191 @t51))))) % 0.42/0.86 (assume @p93 (forall (@list @t41 @t111) (=> @t47 (_ (_ tptp.ord_less_nat (_ @t43 @t152)) @t41)))) % 0.42/0.86 (assume @p94 (forall @t198 (=> (_ @t197 @t34) (= (_ @t196 @t193) @t195)))) % 0.42/0.86 (assume @p95 (= @t200 @t199)) % 0.42/0.86 (assume @p96 (_ (_ tptp.ord_less_nat @t203) @t201)) % 0.42/0.86 (assume @p97 (not (= @t29 tptp.nil_co1338500125t_unit))) % 0.42/0.86 (assume @p98 (forall @t198 (_ (_ tptp.prefix47729710ge_p_v (_ tptp.ft @t193)) (_ tptp.ft @t204)))) % 0.42/0.86 (assume @p99 (forall @t198 (_ (_ tptp.prefix1615116500t_unit (_ tptp.fe @t193)) (_ tptp.fe @t204)))) % 0.42/0.86 (assume @p100 (forall (@list @t206 @t205) (=> (_ @t1 @t206) (=> (_ @t205 tptp.zero_zero_nat) (=> (not (_ @t205 @t206)) (exists @t99 (and (_ @t207 @t206) (_ @t205 @t7) (not (_ @t205 @t8))))))))) % 0.42/0.86 (assume @p101 @t208) % 0.42/0.86 (assume @p102 (_ (_ tptp.isReceiverOf_p_v tptp.p2) tptp.msg)) % 0.42/0.86 (assume @p103 (not (= tptp.msg (_ @t211 @t210)))) % 0.42/0.86 (assume @p104 (exists @t214 (_ @t213 tptp.msg))) % 0.42/0.86 (assume @p105 (exists @t214 (_ @t213 tptp.msgInSet))) % 0.42/0.86 (assume @p106 (forall @t198 (=> (_ @t197 @t203) (= (_ @t211 @t193) @t216)))) % 0.42/0.86 (assume @p107 (forall @t49 (= (_ @t217 tptp.zero_zero_nat) @t56))) % 0.42/0.86 (assume @p108 (forall @t55 (= (_ @t219 @t63) @t218))) % 0.42/0.86 (assume @p109 (forall @t49 @t221)) % 0.42/0.86 (assume @p110 (forall @t77 (_ @t220 @t75))) % 0.42/0.86 (assume @p111 (forall (@list @t111 @t41) (=> (_ @t222 @t41) (= (_ @t43 (_ @t43 @t111)) @t111)))) % 0.42/0.86 (assume @p112 (_ @t225 @t223)) % 0.42/0.86 (assume @p113 (not (exists @t198 (and @t228 @t227 @t226)))) % 0.42/0.86 (assume @p114 (forall @t198 (=> @t228 (=> @t227 (not (= @t216 tptp.msg)))))) % 0.42/0.86 (assume @p115 (forall @t235 (=> @t234 (=> @t233 (= @t231 @t230))))) % 0.42/0.86 (assume @p116 (forall @t235 (=> @t234 (=> @t233 (not (= tptp.msg @t231)))))) % 0.42/0.86 (assume @p117 (forall @t65 (= @t173 @t237))) % 0.42/0.86 (assume @p118 (forall @t65 (=> @t237 @t173))) % 0.42/0.86 (assume @p119 (forall @t49 (= (_ @t57 tptp.one_one_nat) @t56))) % 0.42/0.86 (assume @p120 (forall @t49 (= (_ (_ tptp.minus_minus_nat @t58) tptp.one_one_nat) @t41))) % 0.42/0.86 (assume @p121 (forall @t235 (=> @t234 (=> @t238 (not (= tptp.msg @t230)))))) % 0.42/0.86 (assume @p122 (forall @t235 (=> (_ @t81 @t229) (=> @t238 (not (= tptp.msgInSet @t230)))))) % 0.42/0.86 (assume @p123 (not (exists @t198 (and (_ @t197 @t223) @t239 @t226)))) % 0.42/0.86 (assume @p124 (forall @t49 (=> @t47 (= @t241 @t41)))) % 0.42/0.86 (assume @p125 (forall @t235 (=> (_ @t248 @t229) (forall @t247 (=> (_ @t246 (_ tptp.size_s1168481041ge_p_v @t243)) (=> (_ (_ tptp.ord_less_eq_nat @t245) @t242) (not (= tptp.msg (_ (_ tptp.nth_message_p_v @t243) @t242))))))))) % 0.42/0.86 (assume @p126 (_ (_ tptp.enabled_p_v_s (_ @t196 @t210)) tptp.msg)) % 0.42/0.86 (assume @p127 (forall @t49 (_ @t217 @t41))) % 0.42/0.86 (assume @p128 (forall @t113 (=> @t249 (=> (_ (_ tptp.ord_less_eq_nat @t110) @t66) (_ @t222 @t66))))) % 0.42/0.86 (assume @p129 (forall @t65 (=> @t103 @t237))) % 0.42/0.86 (assume @p130 (forall @t65 (=> @t237 (=> @t218 @t103)))) % 0.42/0.86 (assume @p131 (forall @t65 (or @t237 @t218))) % 0.42/0.86 (assume @p132 (forall @t83 (= (= tptp.one_one_nat @t82) (= @t82 tptp.one_one_nat)))) % 0.42/0.86 (assume @p133 (forall (@list @t91 @t66 @t85) (=> @t125 (=> (forall @t131 (=> (_ @t91 @t127) (_ (_ tptp.ord_less_eq_nat @t127) @t85))) (exists @t132 (and (_ @t91 @t129) (forall (@list @t250) (=> (_ @t91 @t250) (_ (_ tptp.ord_less_eq_nat @t250) @t129))))))))) % 0.42/0.86 (assume @p134 (forall (@list @t252 @t254 @t251) (=> @t255 (=> (_ (_ tptp.prefix47729710ge_p_v @t254) @t251) (_ @t253 @t251))))) % 0.42/0.86 (assume @p135 (forall (@list @t257 @t259 @t256) (=> @t260 (=> (_ (_ tptp.prefix1615116500t_unit @t259) @t256) (_ @t258 @t256))))) % 0.42/0.86 (assume @p136 (forall @t266 (=> @t265 (exists @t263 (and @t262 (forall @t235 (=> (_ @t91 @t229) (_ (_ tptp.ord_less_eq_nat @t261) @t229)))))))) % 0.42/0.86 (assume @p137 (forall @t187 (=> (forall @t99 (_ (_ tptp.ord_less_eq_nat @t182) @t183)) (=> @t267 (_ (_ tptp.ord_less_eq_nat @t186) @t180))))) % 0.42/0.86 (assume @p138 (forall @t187 (=> (forall @t99 (_ (_ tptp.ord_less_eq_nat @t183) @t182)) (=> @t267 (_ (_ tptp.ord_less_eq_nat @t180) @t186))))) % 0.42/0.86 (assume @p139 (forall (@list @t269 @t91 @t268) (=> (forall @t144 (=> (_ @t270 @t139) (=> @t140 (and @t142 (_ @t268 @t139))))) (=> (_ @t91 @t269) (forall @t198 (=> (_ @t270 @t193) (_ @t268 @t193))))))) % 0.42/0.86 (assume @p140 (forall @t275 (=> @t255 (forall @t274 (=> (_ @t273 @t272) (= (_ (_ tptp.nth_message_p_v @t252) @t271) (_ (_ tptp.nth_message_p_v @t254) @t271))))))) % 0.42/0.86 (assume @p141 (forall @t277 (=> @t260 (forall @t274 (=> (_ @t273 @t276) (= (_ (_ tptp.nth_co1649820636t_unit @t257) @t271) (_ (_ tptp.nth_co1649820636t_unit @t259) @t271))))))) % 0.42/0.86 (assume @p142 (forall @t83 (_ @t220 @t82))) % 0.42/0.86 (assume @p143 (forall @t65 (=> @t278 @t237))) % 0.42/0.86 (assume @p144 (forall @t65 (=> @t281 (=> @t280 @t279)))) % 0.42/0.86 (assume @p145 (forall @t65 (=> @t237 @t281))) % 0.42/0.86 (assume @p146 (forall (@list @t41 @t282) (=> (_ @t219 @t282) (exists @t116 (= @t282 @t115))))) % 0.42/0.86 (assume @p147 (forall @t65 (= @t281 (or @t237 @t279)))) % 0.42/0.86 (assume @p148 (forall @t49 (not (_ @t219 @t41)))) % 0.42/0.86 (assume @p149 (forall @t65 (= @t280 (_ @t219 @t51)))) % 0.42/0.86 (assume @p150 (forall @t100 (=> (forall @t99 (=> (forall @t96 (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.suc @t93)) @t7) @t94)) @t97)) @t92))) % 0.42/0.86 (assume @p151 (forall (@list @t51 @t41 @t91) (=> @t237 (=> (_ @t91 @t51) (=> (forall @t99 (=> (_ @t236 @t7) @t133)) @t92))))) % 0.42/0.86 (assume @p152 (forall (@list @t51 @t41 @t283) (=> @t237 (=> (forall @t132 (_ @t285 @t129)) (=> (forall (@list @t129 @t127 @t284) (=> (_ @t285 @t127) (=> (_ (_ @t283 @t127) @t284) (_ @t285 @t284)))) (=> (forall @t99 (_ (_ @t283 @t7) @t8)) (_ (_ @t283 @t51) @t41))))))) % 0.42/0.86 (assume @p153 (forall @t77 (= @t287 @t80))) % 0.42/0.86 (assume @p154 (forall @t77 (=> @t287 @t80))) % 0.42/0.86 (assume @p155 (forall @t65 (=> @t53 @t237))) % 0.42/0.86 (assume @p156 (= tptp.ord_less_eq_nat (lambda @t290 (or (_ (_ tptp.ord_less_nat @t190) @t288) @t289)))) % 0.42/0.86 (assume @p157 (forall @t65 (=> @t165 @t237))) % 0.42/0.86 (assume @p158 (forall @t65 (=> @t237 (=> @t104 @t53)))) % 0.42/0.86 (assume @p159 (forall (@list @t179 @t111 @t110) (=> (forall (@list @t139 @t150) (=> @t151 (_ (_ tptp.ord_less_nat (_ @t179 @t139)) (_ @t179 @t150)))) (=> @t249 (_ (_ tptp.ord_less_eq_nat (_ @t179 @t111)) (_ @t179 @t110)))))) % 0.42/0.86 (assume @p160 (forall @t296 (=> @t295 (=> @t294 (= (= @t292 @t291) @t103))))) % 0.42/0.86 (assume @p161 (forall @t296 (=> @t295 (=> @t294 (= (_ (_ tptp.ord_less_eq_nat @t292) @t291) @t237))))) % 0.42/0.86 (assume @p162 (forall @t296 (=> @t295 (=> @t294 (= (_ (_ tptp.minus_minus_nat @t292) @t291) @t62))))) % 0.42/0.86 (assume @p163 @t300) % 0.42/0.86 (assume @p164 (forall @t65 (_ (_ tptp.ord_less_eq_nat @t62) @t51))) % 0.42/0.86 (assume @p165 (forall @t87 (=> (_ @t286 @t84) (=> (_ @t301 @t84) (= (_ (_ tptp.ord_less_eq_nat (_ @t302 @t75)) (_ @t302 @t85)) (_ @t301 @t75)))))) % 0.42/0.86 (assume @p166 (forall @t178 (=> @t237 (_ (_ tptp.ord_less_eq_nat @t177) @t176)))) % 0.42/0.86 (assume @p167 (forall @t266 (=> @t265 (exists @t263 (and @t262 (or (= @t261 tptp.zero_zero_nat) (not (_ @t91 (_ (_ tptp.minus_minus_nat @t261) tptp.one_one_nat))))))))) % 0.42/0.86 (assume @p168 (forall @t275 (=> @t255 (_ (_ tptp.ord_less_nat @t272) (_ tptp.size_s1168481041ge_p_v @t254))))) % 0.42/0.86 (assume @p169 (forall @t277 (=> @t260 (_ (_ tptp.ord_less_nat @t276) (_ tptp.size_s1406904903t_unit @t259))))) % 0.42/0.86 (assume @p170 (forall @t65 (=> @t53 @t278))) % 0.42/0.86 (assume @p171 (forall @t65 (= @t278 @t53))) % 0.42/0.86 (assume @p172 (forall @t147 (=> @t249 (=> @t138 (=> (forall @t99 (=> @t305 (=> @t304 @t133))) @t303))))) % 0.42/0.86 (assume @p173 (forall @t147 (=> @t249 (=> @t303 (=> (forall @t99 (=> @t305 (=> @t304 @t123))) @t138))))) % 0.42/0.86 (assume @p174 (forall @t65 (=> @t278 @t53))) % 0.42/0.86 (assume @p175 (forall @t65 (=> @t237 @t136))) % 0.42/0.86 (assume @p176 (forall @t65 (= @t166 @t237))) % 0.42/0.86 (assume @p177 (= tptp.ord_less_nat (lambda (@list @t288 @t306) (_ (_ tptp.ord_less_eq_nat (_ tptp.suc @t288)) @t306)))) % 0.42/0.86 (assume @p178 (forall @t65 (=> @t237 @t166))) % 0.42/0.86 (assume @p179 (forall @t100 (=> @t92 (=> @t309 (exists @t308 (and (_ (_ tptp.ord_less_eq_nat @t148) @t41) (forall @t198 (=> (_ @t197 @t148) @t307)) (_ @t91 @t148))))))) % 0.42/0.86 (assume @p180 (forall @t55 (=> @t218 (= @t67 (_ tptp.suc @t62))))) % 0.42/0.86 (assume @p181 (forall @t296 (=> @t295 (=> @t294 (= (_ (_ tptp.ord_less_nat @t292) @t291) @t53))))) % 0.42/0.86 (assume @p182 (forall (@list @t75 @t85 @t84) (=> (_ @t171 @t85) (=> (_ (_ tptp.ord_less_eq_nat @t84) @t75) (_ (_ tptp.ord_less_nat @t86) (_ (_ tptp.minus_minus_nat @t85) @t84)))))) % 0.42/0.86 (assume @p183 (= tptp.one_one_nat @t42)) % 0.42/0.86 (assume @p184 (forall @t65 (= @t192 (_ (_ tptp.minus_minus_nat (_ @t60 tptp.one_one_nat)) @t41)))) % 0.42/0.86 (assume @p185 (forall @t100 (=> @t92 (=> @t309 (exists @t308 (and (_ (_ tptp.ord_less_nat @t148) @t41) (forall @t198 (=> (_ (_ tptp.ord_less_eq_nat @t193) @t148) @t307)) (_ @t91 (_ tptp.suc @t148)))))))) % 0.42/0.86 (assume @p186 (forall @t163 (=> @t47 (=> (_ @t91 tptp.one_one_nat) (=> (forall @t99 (=> @t172 @t133)) @t92))))) % 0.42/0.86 (assume @p187 (forall @t49 (=> @t47 (= @t41 @t241)))) % 0.42/0.86 (assume @p188 (forall @t55 (=> @t47 (= @t67 (_ @t60 @t240))))) % 0.42/0.86 (assume @p189 (=> (not (= tptp.n1 tptp.zero_zero_nat)) (or (not (_ (_ tptp.enabled_p_v_s (_ @t194 @t310)) tptp.msgInSet)) (= tptp.msgInSet (_ @t215 @t310))))) % 0.42/0.86 (assume @p190 (=> (not (= tptp.nMsg tptp.zero_zero_nat)) (or (not (_ (_ tptp.enabled_p_v_s (_ @t194 @t210)) tptp.msg)) (= tptp.msg (_ @t215 @t210))))) % 0.42/0.86 (assume @p191 (forall @t198 (=> (_ @t197 @t40) (=> @t239 (_ (_ tptp.enabled_p_v_s @t195) tptp.msg))))) % 0.42/0.86 (assume @p192 @t317) % 0.42/0.86 (assume @p193 (forall @t322 (= (_ @t1 @t321) @t320))) % 0.42/0.86 (assume @p194 (_ (_ tptp.ord_less_nat tptp.n0) @t324)) % 0.42/0.86 (assume @p195 (_ (_ tptp.enabled_p_v_s @t200) tptp.msg)) % 0.42/0.86 (assume @p196 (_ (_ tptp.enabled_p_v_s (_ @t325 tptp.n0)) tptp.msg)) % 0.42/0.86 (assume @p197 (_ (_ tptp.enabled_p_v_s @t199) tptp.msg)) % 0.42/0.86 (assume @p198 (_ (_ tptp.enabled_p_v_s (_ @t194 tptp.n1)) tptp.msgInSet)) % 0.42/0.86 (assume @p199 (forall (@list @t330 @t206 @t41 @t326) (=> (and (_ @t331 @t206) (_ (_ tptp.ord_less_nat @t206) (_ tptp.size_s1406904903t_unit @t333)) (_ (_ tptp.enabled_p_v_s (_ @t334 @t330)) @t326)) (or (_ (_ tptp.enabled_p_v_s (_ @t334 @t206)) @t326) (exists @t332 (and (_ @t331 @t327) (_ @t329 (_ tptp.size_s1168481041ge_p_v @t328)) (= (_ (_ tptp.nth_message_p_v @t328) @t327) @t326))))))) % 0.42/0.86 (assume @p200 (_ (_ tptp.enabled_p_v_s (_ @t194 @t223)) tptp.msg)) % 0.42/0.86 (assume @p201 @t336) % 0.42/0.86 (assume @p202 (forall @t322 (= (= @t321 tptp.zero_zero_nat) @t319))) % 0.42/0.86 (assume @p203 (_ (_ tptp.enabled_p_v_s @t337) tptp.msg)) % 0.42/0.86 (assume @p204 @t338) % 0.42/0.86 (assume @p205 (forall @t342 (=> (not @t341) (not @t340)))) % 0.42/0.86 (assume @p206 (forall @t346 (=> (not @t345) (not @t344)))) % 0.42/0.86 (assume @p207 (forall @t49 (exists @t349 (= @t348 @t41)))) % 0.42/0.86 (assume @p208 (forall @t49 (exists @t352 (= @t351 @t41)))) % 0.42/0.86 (assume @p209 (forall (@list @t353 @t311) (=> (forall @t349 (=> (forall (@list @t354) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_s1406904903t_unit @t354)) @t348) (_ @t353 @t354))) (_ @t353 @t347))) (_ @t353 @t311)))) % 0.42/0.86 (assume @p210 (forall (@list @t355 @t318) (=> (forall @t352 (=> (forall (@list @t356) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_s1168481041ge_p_v @t356)) @t351) (_ @t355 @t356))) (_ @t355 @t350))) (_ @t355 @t318)))) % 0.42/0.86 (assume @p211 (= @t357 tptp.zero_zero_nat)) % 0.42/0.86 (assume @p212 (= (_ tptp.size_s1168481041ge_p_v tptp.nil_message_p_v) tptp.zero_zero_nat)) % 0.42/0.86 (assume @p213 (= (lambda (@list @t363 @t362) (= @t363 @t362)) (lambda (@list @t359 @t358) (and (= @t361 (_ tptp.size_s1406904903t_unit @t358)) (forall @t160 (=> (_ @t158 @t361) (= @t360 (_ (_ tptp.nth_co1649820636t_unit @t358) @t156)))))))) % 0.42/0.86 (assume @p214 (= (lambda (@list @t369 @t368) (= @t369 @t368)) (lambda (@list @t365 @t364) (and (= @t367 (_ tptp.size_s1168481041ge_p_v @t364)) (forall @t160 (=> (_ @t158 @t367) (= @t366 (_ (_ tptp.nth_message_p_v @t364) @t156)))))))) % 0.42/0.86 (assume @p215 (forall (@list @t66 @t370) (= (forall @t160 (=> @t372 (exists (@list @t373) (_ @t371 @t373)))) (exists (@list @t359) (and (= @t361 @t66) (forall @t160 (=> @t372 (_ @t371 @t360)))))))) % 0.42/0.86 (assume @p216 (forall (@list @t66 @t374) (= (forall @t160 (=> @t372 (exists (@list @t376) (_ @t375 @t376)))) (exists (@list @t365) (and (= @t367 @t66) (forall @t160 (=> @t372 (_ @t375 @t366)))))))) % 0.42/0.86 (assume @p217 (forall @t342 (=> @t341 (=> (forall @t144 (=> (_ @t143 @t314) (= (_ @t377 @t139) (_ (_ tptp.nth_co1649820636t_unit @t339) @t139)))) @t340)))) % 0.42/0.86 (assume @p218 (forall @t346 (=> @t345 (=> (forall @t144 (=> (_ @t143 @t321) (= (_ @t378 @t139) (_ (_ tptp.nth_message_p_v @t343) @t139)))) @t344)))) % 0.42/0.86 (assume @p219 (or (_ (_ tptp.enabled_p_v_s (_ @t325 (_ (_ tptp.minus_minus_nat @t324) tptp.one_one_nat))) tptp.msg) @t382)) % 0.42/0.86 (assume @p220 (=> (exists @t247 (and (_ @t380 @t242) (_ @t246 @t245) (= (_ @t379 @t242) tptp.msg))) (exists (@list @t383) (and (_ @t248 @t383) (exists @t332 (and @t381 (_ @t329 (_ tptp.size_s1168481041ge_p_v @t384)) (= tptp.msg (_ (_ tptp.nth_message_p_v @t384) @t327)))))))) % 0.42/0.86 (assume @p221 (_ @t385 tptp.msg)) % 0.42/0.86 (assume @p222 (_ @t385 tptp.msgInSet)) % 0.42/0.86 (assume @p223 (= (_ @t194 @t386) @t337)) % 0.42/0.86 (assume @p224 (or @t338 @t382)) % 0.42/0.86 (assume @p225 (forall @t316 (=> @t313 (= (_ tptp.last_c571238084t_unit @t311) (_ @t377 (_ (_ tptp.minus_minus_nat @t314) tptp.one_one_nat)))))) % 0.42/0.86 (assume @p226 (forall @t322 (=> @t320 (= (_ tptp.last_message_p_v @t318) (_ @t378 (_ (_ tptp.minus_minus_nat @t321) tptp.one_one_nat)))))) % 0.42/0.86 (assume @p227 (forall (@list @t326 @t390 @t387) (=> (_ (_ (_ (_ tptp.firstO1414030372_p_v_s @t388) (_ tptp.ft @t387)) @t326) @t390) (_ @t1 (_ @t389 @t326))))) % 0.42/0.86 (assume @p228 (_ @t220 tptp.zero_zero_nat)) % 0.42/0.86 (assume @p229 (not (_ @t1 tptp.zero_zero_nat))) % 0.42/0.86 (assume @p230 (_ (_ tptp.ord_less_eq_nat tptp.one_one_nat) tptp.one_one_nat)) % 0.42/0.86 (assume @p231 (not (_ (_ tptp.ord_less_nat tptp.one_one_nat) tptp.one_one_nat))) % 0.42/0.86 (assume @p232 (_ @t1 tptp.one_one_nat)) % 0.42/0.86 (assume @p233 (forall (@list @t387 @t391) (=> (_ (_ tptp.member_message_p_v @t391) (_ tptp.firstOccSet @t387)) (_ @t1 (_ @t389 @t391))))) % 0.42/0.86 (assume @p234 @t393) % 0.42/0.86 (assume @p235 true) % 0.42/0.86 (step @p236 (= tptp.ord_less_nat @t394) :rule refl :args (@t394)) % 0.42/0.86 (step @p237 :rule evaluate :args ((= false true))) % 0.42/0.86 (step @p238 :rule refl :args ((tptp.firstO1414030372_p_v_s @t29 @t28 tptp.msg tptp.nMsg))) % 0.42/0.86 (step @p239 :rule refl :args (tptp.nMsg)) % 0.42/0.86 (step @p240 :rule refl :args (tptp.msg)) % 0.42/0.86 (step @p241 :rule refl :args ((tptp.ft @t27))) % 0.42/0.86 (step @p242 :rule refl :args (@t395)) % 0.42/0.86 (step @p243 :rule cong :premises (@p242) :args (@t396)) % 0.42/0.86 (step @p244 :rule trans :premises (@p243 @p241)) % 0.42/0.86 (step @p245 :rule refl :args ((tptp.fe @t27))) % 0.42/0.86 (step @p246 :rule cong :premises (@p242) :args (@t397)) % 0.42/0.86 (step @p247 :rule trans :premises (@p246 @p245)) % 0.42/0.86 (step @p248 :rule cong :premises (@p247 @p244 @p240 @p239) :args (@t398)) % 0.42/0.86 (step @p249 :rule trans :premises (@p248 @p238)) % 0.42/0.86 (step @p250 :rule refl :args (tptp.firstO1414030372_p_v_s)) % 0.42/0.86 (step @p251 :rule ho_cong :premises (@p250 @p247)) % 0.42/0.86 (step @p252 :rule ho_cong :premises (@p251 @p244)) % 0.42/0.86 (step @p253 :rule ho_cong :premises (@p252 @p240)) % 0.42/0.86 (step @p254 :rule ho_cong :premises (@p253 @p239)) % 0.42/0.86 (step @p255 :rule cong :premises (@p254 @p249) :args ((= (_ @t399 tptp.nMsg) @t398))) % 0.42/0.86 (step @p256 :rule symm :premises (@p255)) % 0.42/0.86 (step @p257 :rule refl :args (@t32)) % 0.42/0.86 (step @p258 :rule eq_resolve :premises (@p257 @p256)) % 0.42/0.86 (step @p259 :rule refl :args (tptp.nMsg)) % 0.42/0.86 (step @p260 :rule refl :args (tptp.msg)) % 0.42/0.86 (step @p261 :rule refl :args (tptp.ft)) % 0.42/0.86 (step @p262 :rule ho_cong :premises (@p261 @p242)) % 0.42/0.86 (step @p263 :rule cong :premises (@p262 @p244) :args ((= (_ tptp.ft @t395) @t396))) % 0.42/0.86 (step @p264 :rule symm :premises (@p263)) % 0.42/0.86 (step @p265 :rule refl :args (@t28)) % 0.42/0.86 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 0.42/0.86 (step @p267 :rule refl :args (@t27)) % 0.42/0.86 (step @p268 :rule cong :premises (@p267 @p242) :args ((= @t27 @t395))) % 0.42/0.86 (step @p269 :rule symm :premises (@p268)) % 0.42/0.86 (step @p270 :rule eq_resolve :premises (@p267 @p269)) % 0.42/0.86 (step @p271 :rule refl :args (tptp.ft)) % 0.42/0.86 (step @p272 :rule ho_cong :premises (@p271 @p270)) % 0.42/0.86 (step @p273 :rule trans :premises (@p272 @p266)) % 0.42/0.86 (step @p274 :rule refl :args (tptp.fe)) % 0.42/0.86 (step @p275 :rule ho_cong :premises (@p274 @p242)) % 0.42/0.86 (step @p276 :rule cong :premises (@p275 @p247) :args ((= (_ tptp.fe @t395) @t397))) % 0.42/0.86 (step @p277 :rule symm :premises (@p276)) % 0.42/0.86 (step @p278 :rule refl :args (@t29)) % 0.42/0.86 (step @p279 :rule eq_resolve :premises (@p278 @p277)) % 0.42/0.86 (step @p280 :rule refl :args (tptp.fe)) % 0.42/0.86 (step @p281 :rule ho_cong :premises (@p280 @p270)) % 0.42/0.86 (step @p282 :rule trans :premises (@p281 @p279)) % 0.42/0.86 (step @p283 :rule refl :args (tptp.firstO1414030372_p_v_s)) % 0.42/0.86 (step @p284 :rule ho_cong :premises (@p283 @p282)) % 0.42/0.86 (step @p285 :rule ho_cong :premises (@p284 @p273)) % 0.42/0.86 (step @p286 :rule ho_cong :premises (@p285 @p260)) % 0.42/0.86 (step @p287 :rule ho_cong :premises (@p286 @p259)) % 0.42/0.86 (step @p288 :rule trans :premises (@p287 @p258)) % 0.42/0.86 (step @p289 :rule eq_resolve :premises (@p4 @p288)) % 0.42/0.86 (step @p290 :rule true_intro :premises (@p289)) % 0.42/0.86 (step @p291 :rule refl :args (@t400)) % 0.42/0.86 (step @p292 :rule refl :args (@t357)) % 0.42/0.86 (step @p293 :rule cong :premises (@p292 @p291) :args ((= @t357 @t400))) % 0.42/0.86 (step @p294 :rule symm :premises (@p293)) % 0.42/0.86 (step @p295 :rule eq_resolve :premises (@p292 @p294)) % 0.42/0.86 (step @p296 :rule cong :premises (@p295) :args (@t401)) % 0.42/0.86 (step @p297 :rule refl :args (@t41)) % 0.42/0.86 (step @p298 :rule cong :premises (@p297 @p296) :args (@t402)) % 0.42/0.86 (step @p299 :rule cong :premises (@p298) :args (@t403)) % 0.42/0.86 (step @p300 :rule cong :premises (@p297 @p299) :args (@t404)) % 0.42/0.86 (step @p301 :rule cong :premises (@p297 @p295) :args (@t405)) % 0.42/0.86 (step @p302 :rule cong :premises (@p295 @p297) :args (@t406)) % 0.42/0.86 (step @p303 :rule cong :premises (@p302) :args (@t407)) % 0.42/0.86 (step @p304 :rule nary_cong :premises (@p303 @p301 @p300) :args (@t408)) % 0.42/0.86 (step @p305 :rule cong :premises (@p304) :args ((forall @t49 @t408))) % 0.42/0.86 (step @p306 :rule refl :args (@t404)) % 0.42/0.86 (step @p307 :rule eq-symm :args (@t357 @t41)) % 0.42/0.86 (step @p308 :rule refl :args (@t407)) % 0.42/0.86 (step @p309 :rule nary_cong :premises (@p308 @p307 @p306) :args (@t409)) % 0.42/0.86 (step @p310 :rule cong :premises (@p309) :args ((forall @t49 @t409))) % 0.42/0.86 (step @p311 :rule trans :premises (@p310 @p305)) % 0.42/0.86 (step @p312 :rule symm :premises (@p211)) % 0.42/0.86 (step @p313 :rule cong :premises (@p312) :args (@t410)) % 0.42/0.86 (step @p314 :rule refl :args (@t41)) % 0.42/0.86 (step @p315 :rule cong :premises (@p314 @p313) :args (@t411)) % 0.42/0.86 (step @p316 :rule cong :premises (@p315) :args (@t412)) % 0.42/0.86 (step @p317 :rule cong :premises (@p314 @p316) :args (@t413)) % 0.42/0.86 (step @p318 :rule cong :premises (@p312 @p314) :args (@t414)) % 0.42/0.86 (step @p319 :rule cong :premises (@p312 @p314) :args (@t415)) % 0.42/0.86 (step @p320 :rule cong :premises (@p319) :args (@t416)) % 0.42/0.86 (step @p321 :rule nary_cong :premises (@p320 @p318 @p317) :args (@t417)) % 0.42/0.86 (step @p322 :rule cong :premises (@p321) :args ((forall @t49 @t417))) % 0.42/0.86 (step @p323 :rule trans :premises (@p322 @p311)) % 0.42/0.86 (step @p324 :rule refl :args ((tptp.suc @t44))) % 0.42/0.86 (step @p325 :rule refl :args ((tptp.minus_minus_nat @t41 @t42))) % 0.42/0.86 (step @p326 :rule refl :args (@t410)) % 0.42/0.86 (step @p327 :rule cong :premises (@p297 @p326) :args (@t411)) % 0.42/0.86 (step @p328 :rule trans :premises (@p327 @p325)) % 0.42/0.86 (step @p329 :rule cong :premises (@p328) :args (@t412)) % 0.42/0.86 (step @p330 :rule trans :premises (@p329 @p324)) % 0.42/0.86 (step @p331 :rule refl :args (tptp.suc)) % 0.42/0.86 (step @p332 :rule ho_cong :premises (@p331 @p328)) % 0.42/0.86 (step @p333 :rule cong :premises (@p332 @p330) :args ((= (_ tptp.suc @t411) @t412))) % 0.42/0.86 (step @p334 :rule symm :premises (@p333)) % 0.42/0.86 (step @p335 :rule refl :args (@t45)) % 0.42/0.86 (step @p336 :rule eq_resolve :premises (@p335 @p334)) % 0.42/0.86 (step @p337 :rule refl :args (@t43)) % 0.42/0.86 (step @p338 :rule ho_cong :premises (@p337 @p326)) % 0.42/0.86 (step @p339 :rule cong :premises (@p338 @p328) :args ((= (_ @t43 @t410) @t411))) % 0.42/0.86 (step @p340 :rule symm :premises (@p339)) % 0.42/0.86 (step @p341 :rule refl :args (@t44)) % 0.42/0.86 (step @p342 :rule eq_resolve :premises (@p341 @p340)) % 0.42/0.86 (step @p343 :rule refl :args (@t42)) % 0.42/0.86 (step @p344 :rule cong :premises (@p343 @p326) :args ((= @t42 @t410))) % 0.42/0.86 (step @p345 :rule symm :premises (@p344)) % 0.42/0.86 (step @p346 :rule eq_resolve :premises (@p343 @p345)) % 0.42/0.86 (step @p347 :rule ho_cong :premises (@p337 @p346)) % 0.42/0.86 (step @p348 :rule trans :premises (@p347 @p342)) % 0.42/0.86 (step @p349 :rule ho_cong :premises (@p331 @p348)) % 0.42/0.86 (step @p350 :rule trans :premises (@p349 @p336)) % 0.42/0.86 (step @p351 :rule cong :premises (@p297 @p350) :args (@t418)) % 0.42/0.86 (step @p352 :rule refl :args (@t414)) % 0.42/0.86 (step @p353 :rule refl :args (@t415)) % 0.42/0.86 (step @p354 :rule refl :args (@t221)) % 0.42/0.86 (step @p355 :rule cong :premises (@p354 @p353) :args ((= @t221 @t415))) % 0.42/0.86 (step @p356 :rule symm :premises (@p355)) % 0.42/0.86 (step @p357 :rule eq_resolve :premises (@p354 @p356)) % 0.42/0.86 (step @p358 :rule cong :premises (@p357) :args (@t419)) % 0.42/0.86 (step @p359 :rule nary_cong :premises (@p358 @p352 @p351) :args (@t420)) % 0.42/0.86 (step @p360 :rule cong :premises (@p359) :args ((forall @t49 @t420))) % 0.42/0.86 (step @p361 :rule aci_norm :args ((= (or (or @t419 @t414) @t418) @t420))) % 0.42/0.86 (step @p362 :rule refl :args (@t418)) % 0.42/0.86 (step @p363 :rule bool-double-not-elim :args (@t414)) % 0.42/0.86 (step @p364 :rule refl :args (@t419)) % 0.42/0.86 (step @p365 :rule nary_cong :premises (@p364 @p363) :args ((or @t419 (not @t421)))) % 0.42/0.86 (step @p366 :rule bool-and-de-morgan :args (@t221 @t421 true)) % 0.42/0.86 (step @p367 :rule trans :premises (@p366 @p365)) % 0.42/0.86 (step @p368 :rule nary_cong :premises (@p367 @p362) :args ((or (not @t422) @t418))) % 0.42/0.86 (step @p369 :rule trans :premises (@p368 @p361)) % 0.42/0.86 (step @p370 :rule bool-impl-elim :args (@t422 @t418)) % 0.42/0.86 (step @p371 :rule trans :premises (@p370 @p369)) % 0.42/0.86 (step @p372 :rule cong :premises (@p371) :args ((forall @t49 (=> @t422 @t418)))) % 0.42/0.86 (step @p373 :rule trans :premises (@p372 @p360)) % 0.42/0.86 (step @p374 :rule eq-symm :args (@t45 @t41)) % 0.42/0.86 (step @p375 :rule beta-reduce :args ((= (_ @t424 @t41) @t422))) % 0.42/0.86 (step @p376 :rule beta-reduce :args ((= @t425 @t424))) % 0.42/0.86 (step @p377 :rule ho_cong :premises (@p376 @p314)) % 0.42/0.86 (step @p378 :rule trans :premises (@p377 @p375)) % 0.42/0.86 (step @p379 :rule cong :premises (@p378 @p374) :args (@t426)) % 0.42/0.86 (step @p380 :rule cong :premises (@p379) :args ((forall @t49 @t426))) % 0.42/0.86 (step @p381 :rule trans :premises (@p380 @p373)) % 0.42/0.86 (step @p382 :rule refl :args (@t46)) % 0.42/0.86 (step @p383 :rule refl :args (tptp.zero_zero_nat)) % 0.42/0.86 (step @p384 :rule ho_cong :premises (@p236 @p383)) % 0.42/0.86 (step @p385 :rule ho_cong :premises (@p384 @p314)) % 0.42/0.86 (step @p386 :rule cong :premises (@p385 @p382) :args (@t48)) % 0.42/0.86 (step @p387 :rule cong :premises (@p386) :args (@t50)) % 0.42/0.86 (step @p388 :rule trans :premises (@p387 @p381)) % 0.42/0.86 (step @p389 :rule trans :premises (@p388 @p323)) % 0.42/0.86 (step @p390 :rule eq_resolve :premises (@p8 @p389)) % 0.42/0.86 (step @p391 :rule instantiate :premises (@p390) :args (@t427)) % 0.42/0.86 (step @p392 :rule eq_resolve :premises (@p292 @p294)) % 0.42/0.86 (step @p393 :rule cong :premises (@p259 @p392) :args (@t428)) % 0.42/0.86 (step @p394 :rule cong :premises (@p393) :args (@t429)) % 0.42/0.86 (step @p395 :rule refl :args ((tptp.ord_less_eq_nat @t357 tptp.nMsg))) % 0.42/0.86 (step @p396 :rule cong :premises (@p291 @p239) :args (@t430)) % 0.42/0.86 (step @p397 :rule trans :premises (@p396 @p395)) % 0.42/0.86 (step @p398 :rule refl :args (tptp.ord_less_eq_nat)) % 0.42/0.86 (step @p399 :rule ho_cong :premises (@p398 @p291)) % 0.42/0.86 (step @p400 :rule ho_cong :premises (@p399 @p239)) % 0.42/0.86 (step @p401 :rule cong :premises (@p400 @p397) :args ((= (_ (_ tptp.ord_less_eq_nat @t400) tptp.nMsg) @t430))) % 0.42/0.86 (step @p402 :rule symm :premises (@p401)) % 0.42/0.86 (step @p403 :rule refl :args (@t431)) % 0.42/0.86 (step @p404 :rule eq_resolve :premises (@p403 @p402)) % 0.42/0.86 (step @p405 :rule refl :args (tptp.ord_less_eq_nat)) % 0.42/0.86 (step @p406 :rule ho_cong :premises (@p405 @p392)) % 0.42/0.86 (step @p407 :rule ho_cong :premises (@p406 @p259)) % 0.42/0.86 (step @p408 :rule trans :premises (@p407 @p404)) % 0.42/0.86 (step @p409 :rule nary_cong :premises (@p408 @p394) :args ((and @t431 @t429))) % 0.42/0.86 (step @p410 :rule eq-symm :args (@t357 tptp.nMsg)) % 0.42/0.86 (step @p411 :rule cong :premises (@p410) :args (@t432)) % 0.42/0.86 (step @p412 :rule refl :args (@t431)) % 0.42/0.86 (step @p413 :rule nary_cong :premises (@p412 @p411) :args ((and @t431 @t432))) % 0.42/0.86 (step @p414 :rule cong :premises (@p312 @p259) :args (@t433)) % 0.42/0.86 (step @p415 :rule cong :premises (@p414) :args (@t434)) % 0.42/0.86 (step @p416 :rule ho_cong :premises (@p405 @p312)) % 0.42/0.86 (step @p417 :rule ho_cong :premises (@p416 @p259)) % 0.42/0.86 (step @p418 :rule nary_cong :premises (@p417 @p415) :args (@t435)) % 0.42/0.86 (step @p419 :rule trans :premises (@p418 @p413)) % 0.42/0.86 (step @p420 :rule beta-reduce :args ((= (_ @t424 tptp.nMsg) @t435))) % 0.42/0.86 (step @p421 :rule ho_cong :premises (@p376 @p259)) % 0.42/0.86 (step @p422 :rule trans :premises (@p421 @p420)) % 0.42/0.86 (step @p423 :rule ho_cong :premises (@p384 @p259)) % 0.42/0.86 (step @p424 :rule trans :premises (@p423 @p422)) % 0.42/0.86 (step @p425 :rule trans :premises (@p424 @p419 @p409)) % 0.42/0.86 (step @p426 :rule eq_resolve :premises (@p1 @p425)) % 0.42/0.86 (step @p427 :rule and_elim :premises (@p426) :args (0)) % 0.42/0.86 (step @p428 :rule and_elim :premises (@p426) :args (1)) % 0.42/0.86 (step @p429 :rule cnf_or_pos :args (@t441)) % 0.42/0.86 (step @p430 :rule reordering :premises (@p429) :args ((or @t439 @t440 @t438 (not @t441)))) % 0.42/0.86 (step @p431 :rule chain_m_resolution :premises (@p430 @p428 @p427 @p391) :args (@t438 (@list true false false) (@list @t439 @t430 @t441))) % 0.42/0.86 (step @p432 :rule symm :premises (@p431)) % 0.42/0.86 (step @p433 :rule refl :args ((tptp.ord_less_eq_nat @t298 @t297))) % 0.42/0.86 (step @p434 :rule refl :args (@t442)) % 0.42/0.86 (step @p435 :rule refl :args (@t443)) % 0.42/0.86 (step @p436 :rule 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@p702 :rule eq_resolve :premises (@p699 @p701)) % 0.42/0.86 (step @p703 :rule refl :args (tptp.zero_zero_nat)) % 0.42/0.86 (step @p704 :rule cong :premises (@p703 @p702) :args (@t523)) % 0.42/0.86 (step @p705 :rule cong :premises (@p689 @p704) :args (@t524)) % 0.42/0.86 (step @p706 :rule cong :premises (@p705) :args ((forall @t316 @t524))) % 0.42/0.86 (step @p707 :rule eq-symm :args (@t314 tptp.zero_zero_nat)) % 0.42/0.86 (step @p708 :rule eq-symm :args (@t311 tptp.nil_co1338500125t_unit)) % 0.42/0.86 (step @p709 :rule cong :premises (@p708 @p707) :args ((= @t312 @t335))) % 0.42/0.86 (step @p710 :rule eq-symm :args (@t335 @t312)) % 0.42/0.86 (step @p711 :rule trans :premises (@p710 @p709)) % 0.42/0.86 (step @p712 :rule cong :premises (@p711) :args (@t336)) % 0.42/0.86 (step @p713 :rule trans :premises (@p712 @p706)) % 0.42/0.86 (step @p714 :rule trans :premises (@p713 @p697)) % 0.42/0.86 (step @p715 :rule eq_resolve :premises (@p201 @p714)) % 0.42/0.86 (step @p716 :rule instantiate :premises (@p715) :args (@t525)) % 0.42/0.86 (step @p717 :rule refl :args (tptp.nil_co1338500125t_unit)) % 0.42/0.86 (step @p718 :rule cong :premises (@p717 @p520) :args (@t526)) % 0.42/0.86 (step @p719 :rule cong :premises (@p718) :args ((not @t526))) % 0.42/0.86 (step @p720 :rule eq-symm :args (@t33 tptp.nil_co1338500125t_unit)) % 0.42/0.86 (step @p721 :rule cong :premises (@p720) :args (@t208)) % 0.42/0.86 (step @p722 :rule trans :premises (@p721 @p719)) % 0.42/0.86 (step @p723 :rule eq_resolve :premises (@p101 @p722)) % 0.42/0.86 (step @p724 :rule cnf_equiv_pos2 :args (@t529)) % 0.42/0.86 (step @p725 :rule reordering :premises (@p724) :args ((or @t528 @t530 (not @t529)))) % 0.42/0.86 (step @p726 :rule chain_m_resolution :premises (@p725 @p723 @p716) :args (@t530 @t531 (@list @t528 @t529))) % 0.42/0.86 (step @p727 :rule cong :premises (@p683) :args (@t532)) % 0.42/0.86 (step @p728 :rule refl :args (@t533)) % 0.42/0.86 (step @p729 :rule nary_cong :premises (@p728 @p727) :args (@t534)) % 0.42/0.86 (step @p730 :rule refl :args (@t535)) % 0.42/0.86 (step @p731 :rule cong :premises (@p730 @p729) :args (@t536)) % 0.42/0.86 (step @p732 :rule cong :premises (@p731) :args ((forall @t316 @t536))) % 0.42/0.86 (step @p733 :rule cong :premises (@p688) :args (@t537)) % 0.42/0.86 (step @p734 :rule cong :premises (@p295 @p687) :args (@t538)) % 0.42/0.86 (step @p735 :rule nary_cong :premises (@p734 @p733) :args (@t539)) % 0.42/0.86 (step @p736 :rule refl :args (@t535)) % 0.42/0.86 (step @p737 :rule cong :premises (@p736 @p735) :args (@t540)) % 0.42/0.86 (step @p738 :rule cong :premises (@p737) :args ((forall @t316 @t540))) % 0.42/0.86 (step @p739 :rule trans :premises (@p738 @p732)) % 0.42/0.86 (step @p740 :rule cong :premises (@p694) :args (@t541)) % 0.42/0.86 (step @p741 :rule cong :premises (@p312 @p693) :args (@t542)) % 0.42/0.86 (step @p742 :rule nary_cong :premises (@p741 @p740) :args (@t543)) % 0.42/0.86 (step @p743 :rule cong :premises (@p730 @p742) :args (@t544)) % 0.42/0.86 (step @p744 :rule cong :premises (@p743) :args ((forall @t316 @t544))) % 0.42/0.86 (step @p745 :rule trans :premises (@p744 @p739)) % 0.42/0.86 (step @p746 :rule cong :premises (@p704) :args (@t545)) % 0.42/0.86 (step @p747 :rule refl :args ((tptp.ord_less_eq_nat tptp.zero_zero_nat @t314))) % 0.42/0.86 (step @p748 :rule cong :premises (@p703 @p698) :args (@t542)) % 0.42/0.86 (step @p749 :rule trans :premises (@p748 @p747)) % 0.42/0.86 (step @p750 :rule refl :args (@t220)) % 0.42/0.86 (step @p751 :rule ho_cong :premises (@p750 @p698)) % 0.42/0.86 (step @p752 :rule cong :premises (@p751 @p749) :args ((= (_ @t220 @t515) @t542))) % 0.42/0.86 (step @p753 :rule symm :premises (@p752)) % 0.42/0.86 (step @p754 :rule refl :args (@t546)) % 0.42/0.86 (step @p755 :rule eq_resolve :premises (@p754 @p753)) % 0.42/0.86 (step @p756 :rule ho_cong :premises (@p750 @p702)) % 0.42/0.86 (step @p757 :rule trans :premises (@p756 @p755)) % 0.42/0.86 (step @p758 :rule nary_cong :premises (@p757 @p746) :args (@t547)) % 0.42/0.86 (step @p759 :rule cong :premises (@p736 @p758) :args (@t548)) % 0.42/0.86 (step @p760 :rule cong :premises (@p759) :args ((forall @t316 @t548))) % 0.42/0.86 (step @p761 :rule beta-reduce :args ((= (_ @t424 @t314) @t547))) % 0.42/0.86 (step @p762 :rule refl :args (@t314)) % 0.42/0.86 (step @p763 :rule ho_cong :premises (@p376 @p762)) % 0.42/0.86 (step @p764 :rule trans :premises (@p763 @p761)) % 0.42/0.86 (step @p765 :rule cong :premises (@p708) :args (@t313)) % 0.42/0.86 (step @p766 :rule cong :premises (@p765 @p764) :args ((= @t313 @t549))) % 0.42/0.86 (step @p767 :rule eq-symm :args (@t549 @t313)) % 0.42/0.86 (step @p768 :rule trans :premises (@p767 @p766)) % 0.42/0.86 (step @p769 :rule cong :premises (@p768) :args ((forall @t316 (= @t549 @t313)))) % 0.42/0.86 (step @p770 :rule trans :premises (@p769 @p760)) % 0.42/0.86 (step @p771 :rule refl :args (@t313)) % 0.42/0.86 (step @p772 :rule ho_cong :premises (@p384 @p762)) % 0.42/0.86 (step @p773 :rule cong :premises (@p772 @p771) :args (@t315)) % 0.42/0.86 (step @p774 :rule cong :premises (@p773) :args (@t317)) % 0.42/0.86 (step @p775 :rule trans :premises (@p774 @p770)) % 0.42/0.87 (step @p776 :rule trans :premises (@p775 @p745)) % 0.42/0.87 (step @p777 :rule eq_resolve :premises (@p192 @p776)) % 0.42/0.87 (step @p778 :rule instantiate :premises (@p777) :args (@t525)) % 0.42/0.87 (step @p779 :rule refl :args (@t551)) % 0.42/0.87 (step @p780 :rule bool-double-not-elim :args (@t528)) % 0.42/0.87 (step @p781 :rule refl :args (@t554)) % 0.42/0.87 (step @p782 :rule nary_cong :premises (@p781 @p780 @p779) :args ((or @t554 (not @t552) @t551))) % 0.42/0.87 (step @p783 :rule cnf_equiv_pos1 :args (@t553)) % 0.42/0.87 (step @p784 :rule eq_resolve :premises (@p783 @p782)) % 0.42/0.87 (step @p785 :rule reordering :premises (@p784) :args ((or @t528 @t551 @t554))) % 0.42/0.87 (step @p786 :rule chain_m_resolution :premises (@p785 @p723 @p778) :args (@t551 @t531 (@list @t528 @t553))) % 0.42/0.87 (step @p787 :rule cnf_and_pos :args (@t551 0)) % 0.42/0.87 (step @p788 :rule reordering :premises (@p787) :args ((or @t550 (not @t551)))) % 0.42/0.87 (step @p789 :rule chain_m_resolution :premises (@p788 @p786) :args (@t550 @t513 (@list @t551))) % 0.42/0.87 (step @p790 :rule cnf_or_pos :args (@t557)) % 0.42/0.87 (step @p791 :rule reordering :premises (@p790) :args ((or @t556 @t527 @t555 (not @t557)))) % 0.42/0.87 (step @p792 :rule chain_m_resolution :premises (@p791 @p789 @p726 @p682) :args (@t555 (@list false true false) (@list @t550 @t527 @t557))) % 0.42/0.87 (step @p793 :rule trans :premises (@p792 @p681 @p432)) % 0.42/0.87 (step @p794 :rule refl :args (@t396)) % 0.42/0.87 (step @p795 :rule refl :args (@t397)) % 0.42/0.87 (step @p796 :rule cong :premises (@p795 @p794 @p260 @p793) :args (@t449)) % 0.42/0.87 (step @p797 :rule and_elim :premises (@p580) :args (1)) % 0.42/0.87 (step @p798 :rule false_intro :premises (@p797)) % 0.42/0.87 (step @p799 :rule symm :premises (@p798)) % 0.42/0.87 (step @p800 :rule trans :premises (@p799 @p796 @p290)) % 0.42/0.87 (step @p801 false :rule eq_resolve :premises (@p800 @p237)) % 0.42/0.87 ) % 0.42/0.87 % SZS output end Proof % 0.42/0.87 % cvc5 exiting %------------------------------------------------------------------------------