%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP061^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 0.82s 1.07s % Output : Proof 0.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP061^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.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 04:12:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.36/0.57 %----Proving TH0 % 0.82/1.07 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.82/1.07 % SZS status Theorem % 0.82/1.07 % SZS output start Proof % 0.82/1.07 ( % 0.82/1.07 (declare-sort tptp.config256849571t_unit 0) % 0.82/1.07 (declare-sort tptp.message_p_v 0) % 0.82/1.07 (declare-sort tptp.p 0) % 0.82/1.07 (declare-sort tptp.list_c1059388851t_unit 0) % 0.82/1.07 (declare-sort tptp.list_message_p_v 0) % 0.82/1.07 (declare-sort tptp.nat 0) % 0.82/1.07 (declare-sort tptp.set_message_p_v 0) % 0.82/1.07 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) % 0.82/1.07 (declare-const tptp.p2 tptp.p) % 0.82/1.07 (declare-const tptp.nil_co1338500125t_unit tptp.list_c1059388851t_unit) % 0.82/1.07 (declare-const tptp.msg tptp.message_p_v) % 0.82/1.07 (declare-const tptp.n0 tptp.nat) % 0.82/1.07 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.82/1.07 (declare-const tptp.occM tptp.nat) % 0.82/1.07 (declare-const tptp.firstO1414030372_p_v_s (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.message_p_v tptp.nat Bool)) % 0.82/1.07 (declare-const tptp.n tptp.nat) % 0.82/1.07 (declare-const tptp.nth_message_p_v (-> tptp.list_message_p_v tptp.nat tptp.message_p_v)) % 0.82/1.07 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.82/1.07 (declare-const tptp.fe (-> tptp.nat tptp.list_c1059388851t_unit)) % 0.82/1.07 (declare-const tptp.occM2 tptp.nat) % 0.82/1.07 (declare-const tptp.one_one_nat tptp.nat) % 0.82/1.07 (declare-const tptp.size_s1406904903t_unit (-> tptp.list_c1059388851t_unit tptp.nat)) % 0.82/1.07 (declare-const tptp.size_s1168481041ge_p_v (-> tptp.list_message_p_v tptp.nat)) % 0.82/1.07 (declare-const tptp.index tptp.nat) % 0.82/1.07 (declare-const tptp.prefix47729710ge_p_v (-> tptp.list_message_p_v tptp.list_message_p_v Bool)) % 0.82/1.07 (declare-const tptp.collect_message_p_v (-> (-> tptp.message_p_v Bool) tptp.set_message_p_v)) % 0.82/1.07 (declare-const tptp.member_message_p_v (-> tptp.message_p_v tptp.set_message_p_v Bool)) % 0.82/1.07 (declare-const tptp.firstOccSet (-> tptp.nat tptp.set_message_p_v)) % 0.82/1.07 (declare-const tptp.nth_co1649820636t_unit (-> tptp.list_c1059388851t_unit tptp.nat tptp.config256849571t_unit)) % 0.82/1.07 (declare-const tptp.msga tptp.message_p_v) % 0.82/1.07 (declare-const tptp.ft (-> tptp.nat tptp.list_message_p_v)) % 0.82/1.07 (declare-const tptp.prefix1615116500t_unit (-> tptp.list_c1059388851t_unit tptp.list_c1059388851t_unit Bool)) % 0.82/1.07 (declare-const tptp.consumedMsg tptp.message_p_v) % 0.82/1.07 (declare-const tptp.minimalEnabled_p_v_s (-> tptp.list_c1059388851t_unit tptp.list_message_p_v tptp.message_p_v Bool)) % 0.82/1.07 (declare-const tptp.isReceiverOf_p_v (-> tptp.p tptp.message_p_v Bool)) % 0.82/1.07 (declare-const tptp.enabled_p_v_s (-> tptp.config256849571t_unit tptp.message_p_v Bool)) % 0.82/1.07 (declare-const tptp.msg2 tptp.message_p_v) % 0.82/1.07 (define tptp.ord_less_nat () (let ((_let_1 (@var "N3" tptp.nat))) (let ((_let_2 (@var "M4" tptp.nat))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.ord_less_eq_nat _let_2) _let_1) (not (= _let_2 _let_1))))))) % 0.82/1.07 (define @t1 () (_ tptp.fe tptp.index)) % 0.82/1.07 (define @t2 () (_ tptp.size_s1406904903t_unit @t1)) % 0.82/1.07 (define @t3 () (_ tptp.ord_less_nat tptp.occM2)) % 0.82/1.07 (define @t4 () (_ (_ tptp.minus_minus_nat @t2) tptp.one_one_nat)) % 0.82/1.07 (define @t5 () (_ tptp.ord_less_eq_nat @t4)) % 0.82/1.07 (define @t6 () (_ @t5 tptp.occM2)) % 0.82/1.07 (define @t7 () (_ tptp.suc tptp.index)) % 0.82/1.07 (define @t8 () (_ tptp.fe @t7)) % 0.82/1.07 (define @t9 () (_ (_ tptp.minus_minus_nat (_ tptp.size_s1406904903t_unit @t8)) tptp.one_one_nat)) % 0.82/1.07 (define @t10 () (_ tptp.fe tptp.n)) % 0.82/1.07 (define @t11 () (@var "J" tptp.nat)) % 0.82/1.07 (define @t12 () (@var "K" tptp.nat)) % 0.82/1.07 (define @t13 () (@var "I" tptp.nat)) % 0.82/1.07 (define @t14 () (_ tptp.minus_minus_nat @t13)) % 0.82/1.07 (define @t15 () (@list @t13 @t11 @t12)) % 0.82/1.07 (define @t16 () (@var "N" tptp.nat)) % 0.82/1.07 (define @t17 () (@var "Xs" tptp.list_c1059388851t_unit)) % 0.82/1.07 (define @t18 () (_ tptp.size_s1406904903t_unit @t17)) % 0.82/1.07 (define @t19 () (@list @t17)) % 0.82/1.07 (define @t20 () (@list @t16)) % 0.82/1.07 (define @t21 () (@var "Xs" tptp.list_message_p_v)) % 0.82/1.07 (define @t22 () (_ tptp.size_s1168481041ge_p_v @t21)) % 0.82/1.07 (define @t23 () (@list @t21)) % 0.82/1.07 (define @t24 () (@var "Ys" tptp.list_c1059388851t_unit)) % 0.82/1.07 (define @t25 () (@var "Xs2" tptp.list_c1059388851t_unit)) % 0.82/1.07 (define @t26 () (= @t25 @t24)) % 0.82/1.07 (define @t27 () (_ tptp.size_s1406904903t_unit @t25)) % 0.82/1.07 (define @t28 () (= @t27 (_ tptp.size_s1406904903t_unit @t24))) % 0.82/1.07 (define @t29 () (@list @t25 @t24)) % 0.82/1.07 (define @t30 () (@var "Ys" tptp.list_message_p_v)) % 0.82/1.07 (define @t31 () (@var "Xs2" tptp.list_message_p_v)) % 0.82/1.07 (define @t32 () (= @t31 @t30)) % 0.82/1.07 (define @t33 () (_ tptp.size_s1168481041ge_p_v @t31)) % 0.82/1.07 (define @t34 () (= @t33 (_ tptp.size_s1168481041ge_p_v @t30))) % 0.82/1.07 (define @t35 () (@list @t31 @t30)) % 0.82/1.07 (define @t36 () (@var "Y" tptp.list_c1059388851t_unit)) % 0.82/1.07 (define @t37 () (@var "X" tptp.list_c1059388851t_unit)) % 0.82/1.07 (define @t38 () (@var "Y" tptp.list_message_p_v)) % 0.82/1.07 (define @t39 () (@var "X" tptp.list_message_p_v)) % 0.82/1.07 (define @t40 () (@var "Y2" tptp.nat)) % 0.82/1.07 (define @t41 () (@var "X2" tptp.nat)) % 0.82/1.07 (define @t42 () (@var "Nat2" tptp.nat)) % 0.82/1.07 (define @t43 () (@var "Nat" tptp.nat)) % 0.82/1.07 (define @t44 () (_ tptp.suc @t16)) % 0.82/1.07 (define @t45 () (_ tptp.ord_less_nat @t16)) % 0.82/1.07 (define @t46 () (@var "M" tptp.nat)) % 0.82/1.07 (define @t47 () (_ tptp.suc @t46)) % 0.82/1.07 (define @t48 () (_ tptp.ord_less_nat @t47)) % 0.82/1.07 (define @t49 () (_ @t48 @t44)) % 0.82/1.07 (define @t50 () (_ tptp.ord_less_nat @t46)) % 0.82/1.07 (define @t51 () (_ @t50 @t16)) % 0.82/1.07 (define @t52 () (@list @t46 @t16)) % 0.82/1.07 (define @t53 () (_ tptp.ord_less_eq_nat @t16)) % 0.82/1.07 (define @t54 () (_ @t53 @t46)) % 0.82/1.07 (define @t55 () (_ tptp.ord_less_eq_nat @t44)) % 0.82/1.07 (define @t56 () (@list @t16 @t46)) % 0.82/1.07 (define @t57 () (_ tptp.minus_minus_nat @t46)) % 0.82/1.07 (define @t58 () (_ @t57 @t16)) % 0.82/1.07 (define @t59 () (_ tptp.minus_minus_nat @t47)) % 0.82/1.07 (define @t60 () (_ @t59 @t16)) % 0.82/1.07 (define @t61 () (_ tptp.minus_minus_nat @t16)) % 0.82/1.07 (define @t62 () (_ tptp.ord_less_eq_nat @t13)) % 0.82/1.07 (define @t63 () (_ (_ tptp.minus_minus_nat @t44) tptp.one_one_nat)) % 0.82/1.07 (define @t64 () (forall @t20 (= @t63 @t16))) % 0.82/1.07 (define @t65 () (@var "J2" tptp.nat)) % 0.82/1.07 (define @t66 () (_ tptp.suc @t65)) % 0.82/1.07 (define @t67 () (= @t12 @t66)) % 0.82/1.07 (define @t68 () (not @t67)) % 0.82/1.07 (define @t69 () (_ tptp.ord_less_nat @t13)) % 0.82/1.07 (define @t70 () (=> (_ @t69 @t65) @t68)) % 0.82/1.07 (define @t71 () (@list @t65)) % 0.82/1.07 (define @t72 () (forall @t71 @t70)) % 0.82/1.07 (define @t73 () (not @t72)) % 0.82/1.07 (define @t74 () (_ tptp.suc @t13)) % 0.82/1.07 (define @t75 () (= @t12 @t74)) % 0.82/1.07 (define @t76 () (not @t75)) % 0.82/1.07 (define @t77 () (=> @t76 @t73)) % 0.82/1.07 (define @t78 () (=> (_ @t69 @t12) @t77)) % 0.82/1.07 (define @t79 () (@list @t13 @t12)) % 0.82/1.07 (define @t80 () (forall @t79 @t78)) % 0.82/1.07 (define @t81 () (_ tptp.ord_less_eq_nat @t46)) % 0.82/1.07 (define @t82 () (_ @t81 @t16)) % 0.82/1.07 (define @t83 () (_ (_ tptp.ord_less_eq_nat @t47) @t16)) % 0.82/1.07 (define @t84 () (= @t46 @t44)) % 0.82/1.07 (define @t85 () (not @t82)) % 0.82/1.07 (define @t86 () (_ @t81 @t44)) % 0.82/1.07 (define @t87 () (@var "M3" tptp.nat)) % 0.82/1.07 (define @t88 () (@var "M2" tptp.nat)) % 0.82/1.07 (define @t89 () (_ @t62 @t12)) % 0.82/1.07 (define @t90 () (_ tptp.ord_less_eq_nat @t11)) % 0.82/1.07 (define @t91 () (_ @t90 @t12)) % 0.82/1.07 (define @t92 () (_ @t62 @t11)) % 0.82/1.07 (define @t93 () (_ @t48 @t16)) % 0.82/1.07 (define @t94 () (_ (_ tptp.ord_less_nat @t74) @t12)) % 0.82/1.07 (define @t95 () (= @t46 @t16)) % 0.82/1.07 (define @t96 () (not @t51)) % 0.82/1.07 (define @t97 () (_ @t50 @t44)) % 0.82/1.07 (define @t98 () (@var "Y" tptp.nat)) % 0.82/1.07 (define @t99 () (@var "X" tptp.nat)) % 0.82/1.07 (define @t100 () (= @t99 @t98)) % 0.82/1.07 (define @t101 () (@list @t99 @t98)) % 0.82/1.07 (define @t102 () (@var "P" (-> tptp.nat Bool))) % 0.82/1.07 (define @t103 () (_ @t102 @t11)) % 0.82/1.07 (define @t104 () (@var "N2" tptp.nat)) % 0.82/1.07 (define @t105 () (_ tptp.suc @t104)) % 0.82/1.07 (define @t106 () (_ @t102 @t105)) % 0.82/1.07 (define @t107 () (_ @t102 @t104)) % 0.82/1.07 (define @t108 () (=> @t107 @t106)) % 0.82/1.07 (define @t109 () (_ (_ tptp.ord_less_nat @t104) @t11)) % 0.82/1.07 (define @t110 () (_ @t62 @t104)) % 0.82/1.07 (define @t111 () (@list @t104)) % 0.82/1.07 (define @t112 () (_ @t102 @t13)) % 0.82/1.07 (define @t113 () (@list @t13 @t11 @t102)) % 0.82/1.07 (define @t114 () (@var "A" tptp.message_p_v)) % 0.82/1.07 (define @t115 () (@var "P" (-> tptp.message_p_v Bool))) % 0.82/1.07 (define @t116 () (_ tptp.collect_message_p_v @t115)) % 0.82/1.07 (define @t117 () (@var "A2" tptp.set_message_p_v)) % 0.82/1.07 (define @t118 () (@var "X3" tptp.message_p_v)) % 0.82/1.07 (define @t119 () (@var "Q" (-> tptp.message_p_v Bool))) % 0.82/1.07 (define @t120 () (@var "X4" tptp.message_p_v)) % 0.82/1.07 (define @t121 () (=> @t106 @t107)) % 0.82/1.07 (define @t122 () (@var "I2" tptp.nat)) % 0.82/1.07 (define @t123 () (_ @t102 @t122)) % 0.82/1.07 (define @t124 () (_ tptp.ord_less_nat @t122)) % 0.82/1.07 (define @t125 () (_ @t124 @t16)) % 0.82/1.07 (define @t126 () (@list @t122)) % 0.82/1.07 (define @t127 () (_ @t102 @t16)) % 0.82/1.07 (define @t128 () (_ @t124 @t44)) % 0.82/1.07 (define @t129 () (@list @t16 @t102)) % 0.82/1.07 (define @t130 () (or @t51 @t95)) % 0.82/1.07 (define @t131 () (_ @t45 @t46)) % 0.82/1.07 (define @t132 () (not @t95)) % 0.82/1.07 (define @t133 () (_ @t45 @t47)) % 0.82/1.07 (define @t134 () (@var "M5" tptp.nat)) % 0.82/1.07 (define @t135 () (not @t131)) % 0.82/1.07 (define @t136 () (= @t133 (= @t16 @t46))) % 0.82/1.07 (define @t137 () (@var "__flatten_var_0" tptp.nat)) % 0.82/1.07 (define @t138 () (@var "N3" tptp.nat)) % 0.82/1.07 (define @t139 () (@var "T" tptp.nat)) % 0.82/1.07 (define @t140 () (@var "S" tptp.nat)) % 0.82/1.07 (define @t141 () (_ (_ tptp.ord_less_nat @t11) @t12)) % 0.82/1.07 (define @t142 () (=> @t141 @t94)) % 0.82/1.07 (define @t143 () (_ @t69 @t11)) % 0.82/1.07 (define @t144 () (=> @t143 @t142)) % 0.82/1.07 (define @t145 () (forall @t15 @t144)) % 0.82/1.07 (define @t146 () (@var "M6" tptp.nat)) % 0.82/1.07 (define @t147 () (_ @t102 @t146)) % 0.82/1.07 (define @t148 () (@list @t146)) % 0.82/1.07 (define @t149 () (@list @t102 @t16)) % 0.82/1.07 (define @t150 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 0.82/1.07 (define @t151 () (@var "K2" tptp.nat)) % 0.82/1.07 (define @t152 () (@var "I3" tptp.nat)) % 0.82/1.07 (define @t153 () (_ @t150 @t152)) % 0.82/1.07 (define @t154 () (_ tptp.ord_less_nat @t152)) % 0.82/1.07 (define @t155 () (_ @t154 @t65)) % 0.82/1.07 (define @t156 () (_ tptp.suc @t152)) % 0.82/1.07 (define @t157 () (@list @t152)) % 0.82/1.07 (define @t158 () (_ (_ tptp.ord_less_nat @t146) @t104)) % 0.82/1.07 (define @t159 () (@var "M4" tptp.nat)) % 0.82/1.07 (define @t160 () (= @t159 @t138)) % 0.82/1.07 (define @t161 () (_ (_ tptp.ord_less_nat @t159) @t138)) % 0.82/1.07 (define @t162 () (@list @t159 @t138)) % 0.82/1.07 (define @t163 () (_ tptp.ord_less_nat @t98)) % 0.82/1.07 (define @t164 () (_ @t163 @t99)) % 0.82/1.07 (define @t165 () (_ tptp.ord_less_nat @t99)) % 0.82/1.07 (define @t166 () (_ @t165 @t98)) % 0.82/1.07 (define @t167 () (not @t166)) % 0.82/1.07 (define @t168 () (not @t100)) % 0.82/1.07 (define @t169 () (_ @t102 @t152)) % 0.82/1.07 (define @t170 () (_ @t102 @t156)) % 0.82/1.07 (define @t171 () (@var "X4" tptp.nat)) % 0.82/1.07 (define @t172 () (@var "Y4" tptp.nat)) % 0.82/1.07 (define @t173 () (_ @t102 @t172)) % 0.82/1.07 (define @t174 () (@list @t172)) % 0.82/1.07 (define @t175 () (_ @t102 @t171)) % 0.82/1.07 (define @t176 () (@list @t171)) % 0.82/1.07 (define @t177 () (@var "B" tptp.nat)) % 0.82/1.07 (define @t178 () (@var "Y3" tptp.nat)) % 0.82/1.07 (define @t179 () (_ @t102 @t12)) % 0.82/1.07 (define @t180 () (_ @t102 @t46)) % 0.82/1.07 (define @t181 () (@var "F" (-> tptp.nat tptp.nat))) % 0.82/1.07 (define @t182 () (@var "R" (-> tptp.nat tptp.nat Bool))) % 0.82/1.07 (define @t183 () (@var "Z" tptp.nat)) % 0.82/1.07 (define @t184 () (_ @t182 @t171)) % 0.82/1.07 (define @t185 () (@var "N4" tptp.nat)) % 0.82/1.07 (define @t186 () (_ @t181 @t185)) % 0.82/1.07 (define @t187 () (_ @t181 @t16)) % 0.82/1.07 (define @t188 () (_ @t53 @t185)) % 0.82/1.07 (define @t189 () (_ @t181 @t105)) % 0.82/1.07 (define @t190 () (_ @t181 @t104)) % 0.82/1.07 (define @t191 () (@list @t181 @t16 @t185)) % 0.82/1.07 (define @t192 () (_ tptp.ord_less_nat @t187)) % 0.82/1.07 (define @t193 () (forall @t111 (_ (_ tptp.ord_less_nat @t190) @t189))) % 0.82/1.07 (define @t194 () (_ @t57 @t44)) % 0.82/1.07 (define @t195 () (@var "C" tptp.nat)) % 0.82/1.07 (define @t196 () (@var "A" tptp.nat)) % 0.82/1.07 (define @t197 () (_ tptp.minus_minus_nat @t196)) % 0.82/1.07 (define @t198 () (_ @t197 @t195)) % 0.82/1.07 (define @t199 () (_ tptp.ord_less_eq_nat @t195)) % 0.82/1.07 (define @t200 () (_ @t199 @t196)) % 0.82/1.07 (define @t201 () (_ tptp.ord_less_nat @t196)) % 0.82/1.07 (define @t202 () (_ @t201 @t177)) % 0.82/1.07 (define @t203 () (@list @t196 @t177 @t195)) % 0.82/1.07 (define @t204 () (_ @t61 @t12)) % 0.82/1.07 (define @t205 () (_ @t57 @t12)) % 0.82/1.07 (define @t206 () (_ tptp.ord_less_eq_nat @t12)) % 0.82/1.07 (define @t207 () (_ @t206 @t16)) % 0.82/1.07 (define @t208 () (_ @t206 @t46)) % 0.82/1.07 (define @t209 () (@list @t12 @t46 @t16)) % 0.82/1.07 (define @t210 () (@var "P" (-> tptp.list_c1059388851t_unit Bool))) % 0.82/1.07 (define @t211 () (@var "Ys2" tptp.list_c1059388851t_unit)) % 0.82/1.07 (define @t212 () (@var "P" (-> tptp.list_message_p_v Bool))) % 0.82/1.07 (define @t213 () (@var "Ys2" tptp.list_message_p_v)) % 0.82/1.07 (define @t214 () (@var "L" tptp.nat)) % 0.82/1.07 (define @t215 () (_ tptp.minus_minus_nat @t214)) % 0.82/1.07 (define @t216 () (_ @t215 @t46)) % 0.82/1.07 (define @t217 () (_ @t215 @t16)) % 0.82/1.07 (define @t218 () (@list @t46 @t16 @t214)) % 0.82/1.07 (define @t219 () (_ tptp.ord_less_eq_nat @t177)) % 0.82/1.07 (define @t220 () (_ @t219 @t196)) % 0.82/1.07 (define @t221 () (_ tptp.minus_minus_nat @t195)) % 0.82/1.07 (define @t222 () (_ @t219 @t195)) % 0.82/1.07 (define @t223 () (_ tptp.ord_less_eq_nat @t196)) % 0.82/1.07 (define @t224 () (_ @t223 @t195)) % 0.82/1.07 (define @t225 () (@list @t196 @t195 @t177)) % 0.82/1.07 (define @t226 () (@list @t99)) % 0.82/1.07 (define @t227 () (@var "MsgInSet" tptp.message_p_v)) % 0.82/1.07 (define @t228 () (_ tptp.member_message_p_v @t227)) % 0.82/1.07 (define @t229 () (@var "I4" tptp.nat)) % 0.82/1.07 (define @t230 () (_ tptp.nth_co1649820636t_unit @t1)) % 0.82/1.07 (define @t231 () (_ tptp.ord_less_nat @t229)) % 0.82/1.07 (define @t232 () (@list @t229)) % 0.82/1.07 (define @t233 () (_ tptp.ft tptp.index)) % 0.82/1.07 (define @t234 () (_ tptp.size_s1168481041ge_p_v @t233)) % 0.82/1.07 (define @t235 () (_ tptp.suc @t229)) % 0.82/1.07 (define @t236 () (_ tptp.ord_less_eq_nat @t99)) % 0.82/1.07 (define @t237 () (_ @t102 @t151)) % 0.82/1.07 (define @t238 () (@list @t151)) % 0.82/1.07 (define @t239 () (@var "Q" (-> tptp.nat Bool))) % 0.82/1.07 (define @t240 () (@var "Low" tptp.nat)) % 0.82/1.07 (define @t241 () (_ tptp.ord_less_eq_nat @t240)) % 0.82/1.07 (define @t242 () (_ tptp.ft @t7)) % 0.82/1.07 (define @t243 () (_ (_ tptp.minimalEnabled_p_v_s @t1) @t233)) % 0.82/1.07 (define @t244 () (@var "L3" tptp.list_c1059388851t_unit)) % 0.82/1.07 (define @t245 () (@var "L1" tptp.list_c1059388851t_unit)) % 0.82/1.07 (define @t246 () (_ tptp.prefix1615116500t_unit @t245)) % 0.82/1.07 (define @t247 () (@var "L2" tptp.list_c1059388851t_unit)) % 0.82/1.07 (define @t248 () (_ @t246 @t247)) % 0.82/1.07 (define @t249 () (@var "L3" tptp.list_message_p_v)) % 0.82/1.07 (define @t250 () (@var "L1" tptp.list_message_p_v)) % 0.82/1.07 (define @t251 () (_ tptp.prefix47729710ge_p_v @t250)) % 0.82/1.07 (define @t252 () (@var "L2" tptp.list_message_p_v)) % 0.82/1.07 (define @t253 () (_ @t251 @t252)) % 0.82/1.07 (define @t254 () (@var "Index" tptp.nat)) % 0.82/1.07 (define @t255 () (_ tptp.size_s1406904903t_unit @t245)) % 0.82/1.07 (define @t256 () (_ tptp.ord_less_nat @t254)) % 0.82/1.07 (define @t257 () (@list @t254)) % 0.82/1.07 (define @t258 () (@list @t245 @t247)) % 0.82/1.07 (define @t259 () (_ tptp.size_s1168481041ge_p_v @t250)) % 0.82/1.07 (define @t260 () (@list @t250 @t252)) % 0.82/1.07 (define @t261 () (@var "Xs3" tptp.list_c1059388851t_unit)) % 0.82/1.07 (define @t262 () (_ (_ tptp.nth_co1649820636t_unit @t261) @t122)) % 0.82/1.07 (define @t263 () (@var "P" (-> tptp.nat tptp.config256849571t_unit Bool))) % 0.82/1.07 (define @t264 () (_ @t263 @t122)) % 0.82/1.07 (define @t265 () (_ @t124 @t12)) % 0.82/1.07 (define @t266 () (_ tptp.size_s1406904903t_unit @t261)) % 0.82/1.07 (define @t267 () (@var "X5" tptp.config256849571t_unit)) % 0.82/1.07 (define @t268 () (@var "Xs3" tptp.list_message_p_v)) % 0.82/1.07 (define @t269 () (_ (_ tptp.nth_message_p_v @t268) @t122)) % 0.82/1.07 (define @t270 () (@var "P" (-> tptp.nat tptp.message_p_v Bool))) % 0.82/1.07 (define @t271 () (_ @t270 @t122)) % 0.82/1.07 (define @t272 () (_ tptp.size_s1168481041ge_p_v @t268)) % 0.82/1.07 (define @t273 () (@var "X5" tptp.message_p_v)) % 0.82/1.07 (define @t274 () (@var "Ys3" tptp.list_c1059388851t_unit)) % 0.82/1.07 (define @t275 () (@var "Z2" tptp.list_c1059388851t_unit)) % 0.82/1.07 (define @t276 () (@var "Y5" tptp.list_c1059388851t_unit)) % 0.82/1.07 (define @t277 () (@var "Ys3" tptp.list_message_p_v)) % 0.82/1.07 (define @t278 () (@var "Z2" tptp.list_message_p_v)) % 0.82/1.07 (define @t279 () (@var "Y5" tptp.list_message_p_v)) % 0.82/1.07 (define @t280 () (= @t196 @t177)) % 0.82/1.07 (define @t281 () (_ @t223 @t177)) % 0.82/1.07 (define @t282 () (@list @t177 @t196)) % 0.82/1.07 (define @t283 () (@var "B2" tptp.nat)) % 0.82/1.07 (define @t284 () (@var "A3" tptp.nat)) % 0.82/1.07 (define @t285 () (_ (_ tptp.ord_less_eq_nat @t284) @t283)) % 0.82/1.07 (define @t286 () (_ (_ tptp.ord_less_eq_nat @t283) @t284)) % 0.82/1.07 (define @t287 () (@list @t284 @t283)) % 0.82/1.07 (define @t288 () (@var "Z2" tptp.nat)) % 0.82/1.07 (define @t289 () (@var "Y5" tptp.nat)) % 0.82/1.07 (define @t290 () (lambda (@list @t289 @t288) (= @t289 @t288))) % 0.82/1.07 (define @t291 () (_ @t199 @t177)) % 0.82/1.07 (define @t292 () (@list @t177 @t196 @t195)) % 0.82/1.07 (define @t293 () (@var "B3" tptp.nat)) % 0.82/1.07 (define @t294 () (@var "A4" tptp.nat)) % 0.82/1.07 (define @t295 () (_ @t150 @t294)) % 0.82/1.07 (define @t296 () (_ @t295 @t293)) % 0.82/1.07 (define @t297 () (@list @t294 @t293)) % 0.82/1.07 (define @t298 () (=> (forall @t297 (=> (_ (_ @t150 @t293) @t294) @t296)) (_ (_ @t150 @t196) @t177))) % 0.82/1.07 (define @t299 () (@list @t150 @t196 @t177)) % 0.82/1.07 (define @t300 () (@list @t196)) % 0.82/1.07 (define @t301 () (@var "Z3" tptp.nat)) % 0.82/1.07 (define @t302 () (_ @t236 @t301)) % 0.82/1.07 (define @t303 () (_ tptp.ord_less_eq_nat @t98)) % 0.82/1.07 (define @t304 () (_ @t303 @t301)) % 0.82/1.07 (define @t305 () (_ @t236 @t98)) % 0.82/1.07 (define @t306 () (@list @t99 @t98 @t301)) % 0.82/1.07 (define @t307 () (@list @t196 @t177)) % 0.82/1.07 (define @t308 () (= @t177 @t195)) % 0.82/1.07 (define @t309 () (=> @t222 @t224)) % 0.82/1.07 (define @t310 () (= @t305 @t100)) % 0.82/1.07 (define @t311 () (_ @t303 @t99)) % 0.82/1.07 (define @t312 () (@list @t98 @t99)) % 0.82/1.07 (define @t313 () (not @t305)) % 0.82/1.07 (define @t314 () (_ tptp.ord_less_eq_nat @t301)) % 0.82/1.07 (define @t315 () (_ @t314 @t99)) % 0.82/1.07 (define @t316 () (not @t311)) % 0.82/1.07 (define @t317 () (_ @t314 @t98)) % 0.82/1.07 (define @t318 () (@var "X3" tptp.nat)) % 0.82/1.07 (define @t319 () (@var "Y6" tptp.nat)) % 0.82/1.07 (define @t320 () (_ (_ tptp.ord_less_eq_nat @t319) @t318)) % 0.82/1.07 (define @t321 () (_ (_ tptp.ord_less_eq_nat @t318) @t319)) % 0.82/1.07 (define @t322 () (@list @t318 @t319)) % 0.82/1.07 (define @t323 () (_ @t181 @t196)) % 0.82/1.07 (define @t324 () (_ @t181 @t178)) % 0.82/1.07 (define @t325 () (_ @t181 @t171)) % 0.82/1.07 (define @t326 () (@list @t171 @t178)) % 0.82/1.07 (define @t327 () (forall @t326 (=> (_ (_ tptp.ord_less_eq_nat @t171) @t178) (_ (_ tptp.ord_less_eq_nat @t325) @t324)))) % 0.82/1.07 (define @t328 () (=> @t327 (_ (_ tptp.ord_less_eq_nat @t323) @t195))) % 0.82/1.07 (define @t329 () (_ @t181 @t177)) % 0.82/1.07 (define @t330 () (= @t329 @t195)) % 0.82/1.07 (define @t331 () (@list @t196 @t177 @t181 @t195)) % 0.82/1.07 (define @t332 () (_ @t181 @t195)) % 0.82/1.07 (define @t333 () (=> @t222 (=> @t327 (_ @t223 @t332)))) % 0.82/1.07 (define @t334 () (= @t196 @t329)) % 0.82/1.07 (define @t335 () (@list @t196 @t181 @t177 @t195)) % 0.82/1.07 (define @t336 () (_ (_ tptp.ord_less_eq_nat @t329) @t195)) % 0.82/1.07 (define @t337 () (_ @t223 @t329)) % 0.82/1.07 (define @t338 () (not @t280)) % 0.82/1.07 (define @t339 () (_ tptp.ord_less_nat @t177)) % 0.82/1.07 (define @t340 () (_ @t339 @t196)) % 0.82/1.07 (define @t341 () (_ tptp.ord_less_nat @t195)) % 0.82/1.07 (define @t342 () (_ @t341 @t196)) % 0.82/1.07 (define @t343 () (=> (_ @t341 @t177) @t342)) % 0.82/1.07 (define @t344 () (@var "P3" (-> tptp.nat Bool))) % 0.82/1.07 (define @t345 () (@list @t138)) % 0.82/1.07 (define @t346 () (@var "X5" tptp.nat)) % 0.82/1.07 (define @t347 () (@var "P2" (-> tptp.nat Bool))) % 0.82/1.07 (define @t348 () (not @t164)) % 0.82/1.07 (define @t349 () (_ @t201 @t195)) % 0.82/1.07 (define @t350 () (_ @t339 @t195)) % 0.82/1.07 (define @t351 () (=> @t350 @t349)) % 0.82/1.07 (define @t352 () (@var "P" Bool)) % 0.82/1.07 (define @t353 () (= @t167 @t100)) % 0.82/1.07 (define @t354 () (_ @t165 @t301)) % 0.82/1.07 (define @t355 () (=> (_ @t163 @t301) @t354)) % 0.82/1.07 (define @t356 () (@var "X_1" tptp.nat)) % 0.82/1.07 (define @t357 () (_ (_ tptp.ord_less_nat @t323) @t195)) % 0.82/1.07 (define @t358 () (forall @t326 (=> (_ (_ tptp.ord_less_nat @t171) @t178) (_ (_ tptp.ord_less_nat @t325) @t324)))) % 0.82/1.07 (define @t359 () (=> @t358 @t357)) % 0.82/1.07 (define @t360 () (_ (_ tptp.ord_less_nat @t329) @t195)) % 0.82/1.07 (define @t361 () (_ @t201 @t332)) % 0.82/1.07 (define @t362 () (=> @t350 (=> @t358 @t361))) % 0.82/1.07 (define @t363 () (_ @t201 @t329)) % 0.82/1.07 (define @t364 () (@var "N5" tptp.nat)) % 0.82/1.07 (define @t365 () (@var "N0" tptp.nat)) % 0.82/1.07 (define @t366 () (@list @t364)) % 0.82/1.07 (define @t367 () (@var "X_12" tptp.nat)) % 0.82/1.07 (define @t368 () (= @t284 @t283)) % 0.82/1.07 (define @t369 () (not @t368)) % 0.82/1.07 (define @t370 () (@list @t283 @t284)) % 0.82/1.07 (define @t371 () (= @t318 @t319)) % 0.82/1.07 (define @t372 () (_ (_ tptp.firstO1414030372_p_v_s @t1) @t233)) % 0.82/1.07 (define @t373 () (_ (_ tptp.nth_message_p_v @t242) @t229)) % 0.82/1.07 (define @t374 () (_ tptp.nth_message_p_v @t233)) % 0.82/1.07 (define @t375 () (_ @t374 @t364)) % 0.82/1.07 (define @t376 () (_ (_ tptp.ord_less_nat @t364) @t234)) % 0.82/1.07 (define @t377 () (@var "P4" tptp.p)) % 0.82/1.07 (define @t378 () (_ tptp.isReceiverOf_p_v @t377)) % 0.82/1.07 (define @t379 () (@list @t377)) % 0.82/1.07 (define @t380 () (_ tptp.ord_less_eq_nat tptp.occM2)) % 0.82/1.07 (define @t381 () (@var "N02" tptp.nat)) % 0.82/1.07 (define @t382 () (_ tptp.ft @t364)) % 0.82/1.07 (define @t383 () (@var "Msg" tptp.message_p_v)) % 0.82/1.07 (define @t384 () (@var "N03" tptp.nat)) % 0.82/1.07 (define @t385 () (_ tptp.ft @t16)) % 0.82/1.07 (define @t386 () (@var "N1" tptp.nat)) % 0.82/1.07 (define @t387 () (_ tptp.ord_less_eq_nat @t386)) % 0.82/1.07 (define @t388 () (@var "N22" tptp.nat)) % 0.82/1.07 (define @t389 () (_ tptp.fe @t16)) % 0.82/1.07 (define @t390 () (_ tptp.nth_co1649820636t_unit @t389)) % 0.82/1.07 (define @t391 () (= tptp.occM2 @t4)) % 0.82/1.07 (define @t392 () (not @t391)) % 0.82/1.07 (define @t393 () (lambda @t162 (and (_ (_ tptp.ord_less_eq_nat @t159) @t138) (not @t160)))) % 0.82/1.07 (define @t394 () (tptp.suc @t13)) % 0.82/1.07 (define @t395 () (tptp.ord_less_eq_nat @t394 @t12)) % 0.82/1.07 (define @t396 () (_ tptp.ord_less_eq_nat @t74)) % 0.82/1.07 (define @t397 () (_ @t396 @t12)) % 0.82/1.07 (define @t398 () (and @t397 @t76)) % 0.82/1.07 (define @t399 () (= @t11 @t12)) % 0.82/1.07 (define @t400 () (tptp.ord_less_eq_nat @t11 @t12)) % 0.82/1.07 (define @t401 () (not @t91)) % 0.82/1.07 (define @t402 () (= @t13 @t11)) % 0.82/1.07 (define @t403 () (tptp.ord_less_eq_nat @t13 @t11)) % 0.82/1.07 (define @t404 () (not @t92)) % 0.82/1.07 (define @t405 () (or @t404 @t402 @t401 @t399 @t398)) % 0.82/1.07 (define @t406 () (or @t401 @t399 @t398)) % 0.82/1.07 (define @t407 () (not @t399)) % 0.82/1.07 (define @t408 () (and @t91 @t407)) % 0.82/1.07 (define @t409 () (not @t402)) % 0.82/1.07 (define @t410 () (=> @t408 @t398)) % 0.82/1.07 (define @t411 () (and @t92 @t409)) % 0.82/1.07 (define @t412 () (not (= @t74 @t12))) % 0.82/1.07 (define @t413 () (and @t397 @t412)) % 0.82/1.07 (define @t414 () (lambda @t345 (and (_ @t396 @t138) (not (= @t74 @t138))))) % 0.82/1.07 (define @t415 () (_ @t393 @t74)) % 0.82/1.07 (define @t416 () (lambda @t345 (and (_ @t90 @t138) (not (= @t11 @t138))))) % 0.82/1.07 (define @t417 () (_ @t393 @t11)) % 0.82/1.07 (define @t418 () (=> (_ @t417 @t12) (_ @t415 @t12))) % 0.82/1.07 (define @t419 () (lambda @t345 (and (_ @t62 @t138) (not (= @t13 @t138))))) % 0.82/1.07 (define @t420 () (_ @t393 @t13)) % 0.82/1.07 (define @t421 () (=> (_ @t420 @t11) @t418)) % 0.82/1.07 (define @t422 () (tptp.fe tptp.index)) % 0.82/1.07 (define @t423 () (tptp.size_s1406904903t_unit @t422)) % 0.82/1.07 (define @t424 () (tptp.minus_minus_nat @t423 tptp.one_one_nat)) % 0.82/1.07 (define @t425 () (tptp.suc @t424)) % 0.82/1.07 (define @t426 () (= @t423 @t425)) % 0.82/1.07 (define @t427 () (not @t426)) % 0.82/1.07 (define @t428 () (and (tptp.ord_less_eq_nat @t425 @t423) @t427)) % 0.82/1.07 (define @t429 () (= tptp.occM2 @t423)) % 0.82/1.07 (define @t430 () (tptp.ord_less_eq_nat tptp.occM2 @t423)) % 0.82/1.07 (define @t431 () (not @t430)) % 0.82/1.07 (define @t432 () (tptp.ord_less_eq_nat @t424 tptp.occM2)) % 0.82/1.07 (define @t433 () (not @t432)) % 0.82/1.07 (define @t434 () (or @t433 (= @t424 tptp.occM2) @t431 @t429 @t428)) % 0.82/1.07 (define @t435 () (= @t12 @t394)) % 0.82/1.07 (define @t436 () (forall @t15 (or (not @t403) @t402 (not @t400) @t399 (and @t395 (not @t435))))) % 0.82/1.07 (define @t437 () (= tptp.occM2 @t424)) % 0.82/1.07 (define @t438 () (or @t433 @t437 @t431 @t429 @t428)) % 0.82/1.07 (define @t439 () (@list false)) % 0.82/1.07 (define @t440 () (= tptp.occM2 @t2)) % 0.82/1.07 (define @t441 () (not @t440)) % 0.82/1.07 (define @t442 () (_ @t380 @t2)) % 0.82/1.07 (define @t443 () (and @t442 @t441)) % 0.82/1.07 (define @t444 () (lambda @t345 (and (_ @t380 @t138) (not (= tptp.occM2 @t138))))) % 0.82/1.07 (define @t445 () (tptp.suc @t65)) % 0.82/1.07 (define @t446 () (= @t13 @t65)) % 0.82/1.07 (define @t447 () (tptp.ord_less_eq_nat @t13 @t65)) % 0.82/1.07 (define @t448 () (not (forall @t71 (or (not @t447) @t446 (not (= @t12 @t445)))))) % 0.82/1.07 (define @t449 () (= @t13 @t12)) % 0.82/1.07 (define @t450 () (tptp.ord_less_eq_nat @t13 @t12)) % 0.82/1.07 (define @t451 () (not @t89)) % 0.82/1.07 (define @t452 () (or @t451 @t449 @t75 @t448)) % 0.82/1.07 (define @t453 () (not @t449)) % 0.82/1.07 (define @t454 () (=> @t76 @t448)) % 0.82/1.07 (define @t455 () (and @t89 @t453)) % 0.82/1.07 (define @t456 () (_ @t62 @t65)) % 0.82/1.07 (define @t457 () (not @t456)) % 0.82/1.07 (define @t458 () (or @t457 @t446 @t68)) % 0.82/1.07 (define @t459 () (not @t446)) % 0.82/1.07 (define @t460 () (and @t456 @t459)) % 0.82/1.07 (define @t461 () (=> (_ @t420 @t65) @t68)) % 0.82/1.07 (define @t462 () (forall @t71 @t461)) % 0.82/1.07 (define @t463 () (not @t462)) % 0.82/1.07 (define @t464 () (=> @t76 @t463)) % 0.82/1.07 (define @t465 () (=> (_ @t420 @t12) @t464)) % 0.82/1.07 (define @t466 () (not (= @t423 @t445))) % 0.82/1.07 (define @t467 () (= tptp.occM2 @t65)) % 0.82/1.07 (define @t468 () (not (tptp.ord_less_eq_nat tptp.occM2 @t65))) % 0.82/1.07 (define @t469 () (or @t468 @t467 @t466)) % 0.82/1.07 (define @t470 () (forall @t71 @t469)) % 0.82/1.07 (define @t471 () (not @t470)) % 0.82/1.07 (define @t472 () (tptp.suc tptp.occM2)) % 0.82/1.07 (define @t473 () (= @t423 @t472)) % 0.82/1.07 (define @t474 () (or @t431 @t429 @t473 @t471)) % 0.82/1.07 (define @t475 () (forall @t79 (or (not @t450) @t449 @t435 @t448))) % 0.82/1.07 (define @t476 () (forall @t71 (or @t468 @t467 (not (= @t445 @t423))))) % 0.82/1.07 (define @t477 () (not @t476)) % 0.82/1.07 (define @t478 () (or @t431 @t429 @t473 @t477)) % 0.82/1.07 (define @t479 () (tptp.suc @t16)) % 0.82/1.07 (define @t480 () (tptp.minus_minus_nat @t479 tptp.one_one_nat)) % 0.82/1.07 (define @t481 () (= @t16 @t63)) % 0.82/1.07 (define @t482 () (tptp.minus_minus_nat @t472 tptp.one_one_nat)) % 0.82/1.07 (define @t483 () (= tptp.occM2 @t482)) % 0.82/1.07 (define @t484 () (and @t473 @t483)) % 0.82/1.07 (define @t485 () (not @t473)) % 0.82/1.07 (define @t486 () (@quantifiers_skolemize @t476 0)) % 0.82/1.07 (define @t487 () (tptp.suc @t486)) % 0.82/1.07 (define @t488 () (= @t423 @t487)) % 0.82/1.07 (define @t489 () (not @t488)) % 0.82/1.07 (define @t490 () (= tptp.occM2 @t486)) % 0.82/1.07 (define @t491 () (not (tptp.ord_less_eq_nat tptp.occM2 @t486))) % 0.82/1.07 (define @t492 () (or @t491 @t490 @t489)) % 0.82/1.07 (define @t493 () (not @t492)) % 0.82/1.07 (define @t494 () (not (= @t487 @t423))) % 0.82/1.07 (define @t495 () (or @t491 @t490 @t494)) % 0.82/1.07 (define @t496 () (not @t495)) % 0.82/1.07 (define @t497 () (@list true)) % 0.82/1.07 (define @t498 () (tptp.minus_minus_nat @t487 tptp.one_one_nat)) % 0.82/1.07 (define @t499 () (= @t486 @t498)) % 0.82/1.07 (define @t500 () (and @t488 @t499)) % 0.82/1.07 (assume @p1 (_ @t3 @t2)) % 0.82/1.07 (assume @p2 @t6) % 0.82/1.07 (assume @p3 (_ (_ tptp.ord_less_nat tptp.occM) @t2)) % 0.82/1.07 (assume @p4 (_ @t5 @t9)) % 0.82/1.07 (assume @p5 (not (= @t1 tptp.nil_co1338500125t_unit))) % 0.82/1.07 (assume @p6 (_ (_ tptp.ord_less_nat tptp.n0) (_ tptp.size_s1406904903t_unit @t10))) % 0.82/1.07 (assume @p7 (= tptp.one_one_nat tptp.one_one_nat)) % 0.82/1.07 (assume @p8 (forall @t15 (= (_ (_ tptp.minus_minus_nat (_ @t14 @t11)) @t12) (_ (_ tptp.minus_minus_nat (_ @t14 @t12)) @t11)))) % 0.82/1.07 (assume @p9 (forall @t20 (exists @t19 (= @t18 @t16)))) % 0.82/1.07 (assume @p10 (forall @t20 (exists @t23 (= @t22 @t16)))) % 0.82/1.07 (assume @p11 (forall @t29 (=> (not @t28) (not @t26)))) % 0.82/1.07 (assume @p12 (forall @t35 (=> (not @t34) (not @t32)))) % 0.82/1.07 (assume @p13 (forall (@list @t37 @t36) (=> (not (= (_ tptp.size_s1406904903t_unit @t37) (_ tptp.size_s1406904903t_unit @t36))) (not (= @t37 @t36))))) % 0.82/1.07 (assume @p14 (forall (@list @t39 @t38) (=> (not (= (_ tptp.size_s1168481041ge_p_v @t39) (_ tptp.size_s1168481041ge_p_v @t38))) (not (= @t39 @t38))))) % 0.82/1.07 (assume @p15 (forall (@list @t41 @t40) (= (= (_ tptp.suc @t41) (_ tptp.suc @t40)) (= @t41 @t40)))) % 0.82/1.07 (assume @p16 (forall (@list @t43 @t42) (= (= (_ tptp.suc @t43) (_ tptp.suc @t42)) (= @t43 @t42)))) % 0.82/1.07 (assume @p17 (not (= @t8 tptp.nil_co1338500125t_unit))) % 0.82/1.07 (assume @p18 (forall @t20 (_ @t45 @t44))) % 0.82/1.07 (assume @p19 (forall @t52 (=> @t51 @t49))) % 0.82/1.07 (assume @p20 (forall @t52 (= @t49 @t51))) % 0.82/1.07 (assume @p21 (forall @t56 (= (_ @t55 @t47) @t54))) % 0.82/1.07 (assume @p22 (forall (@list @t46 @t16 @t12) (= (_ (_ tptp.minus_minus_nat @t60) (_ tptp.suc @t12)) (_ (_ tptp.minus_minus_nat @t58) @t12)))) % 0.82/1.07 (assume @p23 (forall @t52 (= (_ @t59 @t44) @t58))) % 0.82/1.07 (assume @p24 (forall (@list @t13 @t16) (=> (_ @t62 @t16) (= (_ @t61 (_ @t61 @t13)) @t13)))) % 0.82/1.07 (assume @p25 @t64) % 0.82/1.07 (assume @p26 @t80) % 0.82/1.07 (assume @p27 (forall @t52 (=> @t83 @t82))) % 0.82/1.07 (assume @p28 (forall @t52 (=> @t51 @t83))) % 0.82/1.07 (assume @p29 (forall @t52 (=> @t86 (=> @t85 @t84)))) % 0.82/1.07 (assume @p30 (forall @t52 (=> @t82 @t86))) % 0.82/1.07 (assume @p31 (forall @t20 (_ @t53 @t16))) % 0.82/1.07 (assume @p32 (forall (@list @t16 @t88) (=> (_ @t55 @t88) (exists (@list @t87) (= @t88 (_ tptp.suc @t87)))))) % 0.82/1.07 (assume @p33 (forall @t15 (=> @t92 (=> @t91 @t89)))) % 0.82/1.07 (assume @p34 (forall @t52 (= @t83 @t51))) % 0.82/1.07 (assume @p35 (forall @t52 (=> @t93 @t51))) % 0.82/1.07 (assume @p36 (forall @t79 (=> @t94 @t73))) % 0.82/1.07 (assume @p37 (forall @t52 (=> @t51 (=> (not (= @t47 @t16)) @t93)))) % 0.82/1.07 (assume @p38 (forall @t52 (=> @t95 @t82))) % 0.82/1.07 (assume @p39 (forall @t52 (= @t86 (or @t82 @t84)))) % 0.82/1.07 (assume @p40 (forall @t52 (=> @t97 (=> @t96 @t95)))) % 0.82/1.07 (assume @p41 (forall @t52 (=> @t51 @t97))) % 0.82/1.07 (assume @p42 (forall @t101 (=> (= (_ tptp.suc @t99) (_ tptp.suc @t98)) @t100))) % 0.82/1.07 (assume @p43 (forall @t113 (=> @t92 (=> @t112 (=> (forall @t111 (=> @t110 (=> @t109 @t108))) @t103))))) % 0.82/1.07 (assume @p44 (forall (@list @t114 @t115) (= (_ (_ tptp.member_message_p_v @t114) @t116) (_ @t115 @t114)))) % 0.82/1.07 (assume @p45 (forall (@list @t117) (= (_ tptp.collect_message_p_v (lambda (@list @t118) (_ (_ tptp.member_message_p_v @t118) @t117))) @t117))) % 0.82/1.07 (assume @p46 (forall (@list @t115 @t119) (=> (forall (@list @t120) (= (_ @t115 @t120) (_ @t119 @t120))) (= @t116 (_ tptp.collect_message_p_v @t119))))) % 0.82/1.07 (assume @p47 (forall @t113 (=> @t92 (=> @t103 (=> (forall @t111 (=> @t110 (=> @t109 @t121))) @t112))))) % 0.82/1.07 (assume @p48 (forall @t52 (=> @t82 (=> @t54 @t95)))) % 0.82/1.07 (assume @p49 (forall @t129 (= (exists @t126 (and @t128 @t123)) (or @t127 (exists @t126 (and @t125 @t123)))))) % 0.82/1.07 (assume @p50 (forall @t52 (= @t97 @t130))) % 0.82/1.07 (assume @p51 (forall @t20 (not (= @t16 @t44)))) % 0.82/1.07 (assume @p52 (forall @t52 (= @t132 (or @t51 @t131)))) % 0.82/1.07 (assume @p53 (forall @t52 (= @t96 @t133))) % 0.82/1.07 (assume @p54 (forall @t129 (= (forall @t126 (=> @t128 @t123)) (and @t127 (forall @t126 (=> @t125 @t123)))))) % 0.82/1.07 (assume @p55 (forall @t52 (=> @t83 @t51))) % 0.82/1.07 (assume @p56 (forall @t56 (= (_ (_ tptp.ord_less_nat @t44) @t46) (exists (@list @t134) (and (= @t46 (_ tptp.suc @t134)) (_ @t45 @t134)))))) % 0.82/1.07 (assume @p57 (forall @t56 (=> @t135 (=> @t133 @t95)))) % 0.82/1.07 (assume @p58 (forall @t52 (=> @t49 @t51))) % 0.82/1.07 (assume @p59 (forall @t20 (not (_ @t45 @t16)))) % 0.82/1.07 (assume @p60 (forall @t52 (or @t82 @t54))) % 0.82/1.07 (assume @p61 (forall @t20 (not (_ @t55 @t16)))) % 0.82/1.07 (assume @p62 (forall @t52 (=> @t82 @t136))) % 0.82/1.07 (assume @p63 (forall @t52 (= @t97 @t82))) % 0.82/1.07 (assume @p64 (= tptp.ord_less_nat (lambda (@list @t138 @t137) (_ (_ tptp.ord_less_eq_nat (_ tptp.suc @t138)) @t137)))) % 0.82/1.07 (assume @p65 (forall @t56 (=> @t131 @t132))) % 0.82/1.07 (assume @p66 (forall (@list @t140 @t139) (=> (_ (_ tptp.ord_less_nat @t140) @t139) (not (= @t140 @t139))))) % 0.82/1.07 (assume @p67 @t145) % 0.82/1.07 (assume @p68 (forall @t52 (= @t85 (_ @t55 @t46)))) % 0.82/1.07 (assume @p69 (forall @t149 (=> (forall @t111 (=> (forall @t148 (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.suc @t146)) @t104) @t147)) @t107)) @t127))) % 0.82/1.07 (assume @p70 (forall @t52 (=> @t82 @t97))) % 0.82/1.07 (assume @p71 (forall (@list @t13 @t11 @t150) (=> @t143 (=> (forall @t157 (_ @t153 @t156)) (=> (forall (@list @t152 @t65 @t151) (=> @t155 (=> (_ (_ tptp.ord_less_nat @t65) @t151) (=> (_ @t153 @t65) (=> (_ (_ @t150 @t65) @t151) (_ @t153 @t151)))))) (_ (_ @t150 @t13) @t11)))))) % 0.82/1.07 (assume @p72 (forall @t52 (=> @t51 @t82))) % 0.82/1.07 (assume @p73 (forall @t149 (=> (forall @t111 (=> (forall @t148 (=> @t158 @t147)) @t107)) @t127))) % 0.82/1.07 (assume @p74 (forall @t149 (=> (forall @t111 (=> (not @t107) (exists @t148 (and @t158 (not @t147))))) @t127))) % 0.82/1.07 (assume @p75 (= tptp.ord_less_eq_nat (lambda @t162 (or @t161 @t160)))) % 0.82/1.07 (assume @p76 (forall @t52 (=> @t130 @t82))) % 0.82/1.07 (assume @p77 (forall @t101 (=> @t168 (=> @t167 @t164)))) % 0.82/1.07 (assume @p78 (forall @t113 (=> @t143 (=> (forall @t157 (=> (= @t11 @t156) @t169)) (=> (forall @t157 (=> (_ @t154 @t11) (=> @t170 @t169))) @t112))))) % 0.82/1.07 (assume @p79 (forall (@list @t102 @t12 @t177) (=> @t179 (=> (forall (@list @t178) (=> (_ @t102 @t178) (_ (_ tptp.ord_less_eq_nat @t178) @t177))) (exists @t176 (and @t175 (forall @t174 (=> @t173 (_ (_ tptp.ord_less_eq_nat @t172) @t171))))))))) % 0.82/1.07 (assume @p80 (forall @t52 (=> @t82 (=> @t132 @t51)))) % 0.82/1.07 (assume @p81 (forall (@list @t46 @t16 @t102) (=> @t82 (=> @t180 (=> (forall @t111 (=> (_ @t81 @t104) @t108)) @t127))))) % 0.82/1.07 (assume @p82 (forall @t56 (=> @t135 @t136))) % 0.82/1.07 (assume @p83 (forall (@list @t181 @t13 @t11) (=> (forall (@list @t152 @t65) (=> @t155 (_ (_ tptp.ord_less_nat (_ @t181 @t152)) (_ @t181 @t65)))) (=> @t92 (_ (_ tptp.ord_less_eq_nat (_ @t181 @t13)) (_ @t181 @t11)))))) % 0.82/1.07 (assume @p84 (forall (@list @t46 @t16 @t182) (=> @t82 (=> (forall @t176 (_ @t184 @t171)) (=> (forall (@list @t171 @t178 @t183) (=> (_ @t184 @t178) (=> (_ (_ @t182 @t178) @t183) (_ @t184 @t183)))) (=> (forall @t111 (_ (_ @t182 @t104) @t105)) (_ (_ @t182 @t46) @t16))))))) % 0.82/1.07 (assume @p85 (forall @t191 (=> (forall @t111 (_ (_ tptp.ord_less_eq_nat @t190) @t189)) (=> @t188 (_ (_ tptp.ord_less_eq_nat @t187) @t186))))) % 0.82/1.07 (assume @p86 (forall @t191 (=> @t193 (=> (_ @t45 @t185) (_ @t192 @t186))))) % 0.82/1.07 (assume @p87 (forall @t191 (=> (forall @t111 (_ (_ tptp.ord_less_eq_nat @t189) @t190)) (=> @t188 (_ (_ tptp.ord_less_eq_nat @t186) @t187))))) % 0.82/1.07 (assume @p88 (forall (@list @t181 @t16 @t46) (=> @t193 (= (_ @t192 (_ @t181 @t46)) @t131)))) % 0.82/1.07 (assume @p89 (forall @t52 (_ (_ tptp.ord_less_nat @t58) @t47))) % 0.82/1.07 (assume @p90 (forall @t56 (=> @t131 (= (_ tptp.suc @t194) @t58)))) % 0.82/1.07 (assume @p91 (forall @t56 (=> @t54 (= @t60 (_ tptp.suc @t58))))) % 0.82/1.07 (assume @p92 (forall (@list @t102 @t12 @t13) (=> @t179 (=> (forall @t111 @t121) (_ @t102 (_ (_ tptp.minus_minus_nat @t12) @t13)))))) % 0.82/1.07 (assume @p93 (forall @t203 (=> @t202 (=> @t200 (_ (_ tptp.ord_less_nat @t198) (_ (_ tptp.minus_minus_nat @t177) @t195)))))) % 0.82/1.07 (assume @p94 (forall @t209 (=> @t208 (=> @t207 (= (_ (_ tptp.ord_less_nat @t205) @t204) @t51))))) % 0.82/1.07 (assume @p95 (forall @t52 (= @t194 (_ (_ tptp.minus_minus_nat (_ @t57 tptp.one_one_nat)) @t16)))) % 0.82/1.07 (assume @p96 (forall (@list @t210 @t25) (=> (forall @t19 (=> (forall (@list @t211) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_s1406904903t_unit @t211)) @t18) (_ @t210 @t211))) (_ @t210 @t17))) (_ @t210 @t25)))) % 0.82/1.07 (assume @p97 (forall (@list @t212 @t31) (=> (forall @t23 (=> (forall (@list @t213) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_s1168481041ge_p_v @t213)) @t22) (_ @t212 @t213))) (_ @t212 @t21))) (_ @t212 @t31)))) % 0.82/1.07 (assume @p98 (forall (@list @t11 @t12 @t16) (=> @t141 (_ (_ tptp.ord_less_nat (_ (_ tptp.minus_minus_nat @t11) @t16)) @t12)))) % 0.82/1.07 (assume @p99 (forall @t218 (=> @t51 (=> (_ @t50 @t214) (_ (_ tptp.ord_less_nat @t217) @t216))))) % 0.82/1.07 (assume @p100 (forall @t218 (=> @t82 (_ (_ tptp.ord_less_eq_nat @t217) @t216)))) % 0.82/1.07 (assume @p101 (forall @t225 (=> @t224 (=> @t222 (= (_ (_ tptp.ord_less_eq_nat (_ @t221 @t196)) (_ @t221 @t177)) @t220))))) % 0.82/1.07 (assume @p102 (forall @t52 (_ (_ tptp.ord_less_eq_nat @t58) @t46))) % 0.82/1.07 (assume @p103 (forall @t218 (=> @t82 (_ (_ tptp.ord_less_eq_nat (_ @t57 @t214)) (_ @t61 @t214))))) % 0.82/1.07 (assume @p104 (forall @t209 (=> @t208 (=> @t207 (= (_ (_ tptp.minus_minus_nat @t205) @t204) @t58))))) % 0.82/1.07 (assume @p105 (forall @t209 (=> @t208 (=> @t207 (= (_ (_ tptp.ord_less_eq_nat @t205) @t204) @t82))))) % 0.82/1.07 (assume @p106 (forall @t209 (=> @t208 (=> @t207 (= (= @t205 @t204) @t95))))) % 0.82/1.07 (assume @p107 (forall @t226 (= (= tptp.one_one_nat @t99) (= @t99 tptp.one_one_nat)))) % 0.82/1.07 (assume @p108 (forall @t225 (= (_ (_ tptp.minus_minus_nat @t198) @t177) (_ (_ tptp.minus_minus_nat (_ @t197 @t177)) @t195)))) % 0.82/1.07 (assume @p109 (forall (@list @t227) (=> (_ @t228 (_ tptp.firstOccSet @t7)) (_ @t228 (_ tptp.firstOccSet tptp.index))))) % 0.82/1.07 (assume @p110 (forall @t232 (=> (_ @t231 @t2) (= (_ @t230 @t229) (_ (_ tptp.nth_co1649820636t_unit @t8) @t229))))) % 0.82/1.07 (assume @p111 (not (_ @t3 @t234))) % 0.82/1.07 (assume @p112 (forall @t232 (_ (_ tptp.prefix1615116500t_unit (_ tptp.fe @t229)) (_ tptp.fe @t235)))) % 0.82/1.07 (assume @p113 (forall @t226 (_ @t236 @t99))) % 0.82/1.07 (assume @p114 (forall (@list @t16 @t102 @t46) (=> (forall @t238 (=> (_ @t45 @t151) @t237)) (=> (forall @t238 (=> (_ (_ tptp.ord_less_eq_nat @t151) @t16) (=> (forall @t232 (=> (_ (_ tptp.ord_less_nat @t151) @t229) (_ @t102 @t229))) @t237))) @t180)))) % 0.82/1.07 (assume @p115 (forall (@list @t240 @t102 @t239) (=> (forall @t157 (=> (_ @t241 @t152) (=> @t169 (and @t170 (_ @t239 @t152))))) (=> (_ @t102 @t240) (forall @t232 (=> (_ @t241 @t229) (_ @t239 @t229))))))) % 0.82/1.07 (assume @p116 (not (_ (_ tptp.ord_less_nat tptp.one_one_nat) tptp.one_one_nat))) % 0.82/1.07 (assume @p117 (_ (_ tptp.ord_less_eq_nat tptp.one_one_nat) tptp.one_one_nat)) % 0.82/1.07 (assume @p118 (_ (_ tptp.ord_less_nat @t234) (_ tptp.size_s1168481041ge_p_v @t242))) % 0.82/1.07 (assume @p119 (_ @t243 tptp.consumedMsg)) % 0.82/1.07 (assume @p120 (forall (@list @t245 @t247 @t244) (=> @t248 (=> (_ (_ tptp.prefix1615116500t_unit @t247) @t244) (_ @t246 @t244))))) % 0.82/1.07 (assume @p121 (forall (@list @t250 @t252 @t249) (=> @t253 (=> (_ (_ tptp.prefix47729710ge_p_v @t252) @t249) (_ @t251 @t249))))) % 0.82/1.07 (assume @p122 (forall @t258 (=> @t248 (forall @t257 (=> (_ @t256 @t255) (= (_ (_ tptp.nth_co1649820636t_unit @t245) @t254) (_ (_ tptp.nth_co1649820636t_unit @t247) @t254))))))) % 0.82/1.07 (assume @p123 (forall @t260 (=> @t253 (forall @t257 (=> (_ @t256 @t259) (= (_ (_ tptp.nth_message_p_v @t250) @t254) (_ (_ tptp.nth_message_p_v @t252) @t254))))))) % 0.82/1.07 (assume @p124 (forall @t258 (=> @t248 (_ (_ tptp.ord_less_nat @t255) (_ tptp.size_s1406904903t_unit @t247))))) % 0.82/1.07 (assume @p125 (forall @t260 (=> @t253 (_ (_ tptp.ord_less_nat @t259) (_ tptp.size_s1168481041ge_p_v @t252))))) % 0.82/1.07 (assume @p126 (forall @t29 (=> @t28 (=> (forall @t157 (=> (_ @t154 @t27) (= (_ (_ tptp.nth_co1649820636t_unit @t25) @t152) (_ (_ tptp.nth_co1649820636t_unit @t24) @t152)))) @t26)))) % 0.82/1.07 (assume @p127 (forall @t35 (=> @t34 (=> (forall @t157 (=> (_ @t154 @t33) (= (_ (_ tptp.nth_message_p_v @t31) @t152) (_ (_ tptp.nth_message_p_v @t30) @t152)))) @t32)))) % 0.82/1.07 (assume @p128 (forall (@list @t12 @t263) (= (forall @t126 (=> @t265 (exists (@list @t267) (_ @t264 @t267)))) (exists (@list @t261) (and (= @t266 @t12) (forall @t126 (=> @t265 (_ @t264 @t262)))))))) % 0.82/1.07 (assume @p129 (forall (@list @t12 @t270) (= (forall @t126 (=> @t265 (exists (@list @t273) (_ @t271 @t273)))) (exists (@list @t268) (and (= @t272 @t12) (forall @t126 (=> @t265 (_ @t271 @t269)))))))) % 0.82/1.07 (assume @p130 (= (lambda (@list @t276 @t275) (= @t276 @t275)) (lambda (@list @t261 @t274) (and (= @t266 (_ tptp.size_s1406904903t_unit @t274)) (forall @t126 (=> (_ @t124 @t266) (= @t262 (_ (_ tptp.nth_co1649820636t_unit @t274) @t122)))))))) % 0.82/1.07 (assume @p131 (= (lambda (@list @t279 @t278) (= @t279 @t278)) (lambda (@list @t268 @t277) (and (= @t272 (_ tptp.size_s1168481041ge_p_v @t277)) (forall @t126 (=> (_ @t124 @t272) (= @t269 (_ (_ tptp.nth_message_p_v @t277) @t122)))))))) % 0.82/1.07 (assume @p132 (forall @t282 (=> @t220 (=> @t281 @t280)))) % 0.82/1.07 (assume @p133 (= @t290 (lambda @t287 (and @t286 @t285)))) % 0.82/1.07 (assume @p134 (forall @t292 (=> @t220 (=> @t291 @t200)))) % 0.82/1.07 (assume @p135 (forall @t299 (=> (forall @t297 (=> (_ (_ tptp.ord_less_eq_nat @t294) @t293) @t296)) @t298))) % 0.82/1.07 (assume @p136 (forall @t300 (_ @t223 @t196))) % 0.82/1.07 (assume @p137 (forall @t306 (=> @t305 (=> @t304 @t302)))) % 0.82/1.07 (assume @p138 (forall @t307 (=> @t281 (=> @t220 @t280)))) % 0.82/1.07 (assume @p139 (forall @t203 (=> @t281 (=> @t308 @t224)))) % 0.82/1.07 (assume @p140 (forall @t203 (=> @t280 @t309))) % 0.82/1.07 (assume @p141 (= @t290 (lambda @t287 (and @t285 @t286)))) % 0.82/1.07 (assume @p142 (forall @t312 (=> @t311 @t310))) % 0.82/1.07 (assume @p143 (forall @t306 (=> (=> @t305 (not @t304)) (=> (=> @t311 (not @t302)) (=> (=> @t302 (not @t317)) (=> (=> @t317 @t316) (=> (=> @t304 (not @t315)) (not (=> @t315 @t313))))))))) % 0.82/1.07 (assume @p144 (forall @t203 (=> @t281 @t309))) % 0.82/1.07 (assume @p145 (forall @t101 (=> @t313 @t311))) % 0.82/1.07 (assume @p146 (forall @t101 (=> @t100 @t305))) % 0.82/1.07 (assume @p147 (forall @t101 (or @t305 @t311))) % 0.82/1.07 (assume @p148 (forall @t101 (=> @t305 (=> @t311 @t100)))) % 0.82/1.07 (assume @p149 (= @t290 (lambda @t322 (and @t321 @t320)))) % 0.82/1.07 (assume @p150 (forall @t331 (=> @t281 (=> @t330 @t328)))) % 0.82/1.07 (assume @p151 (forall @t335 (=> @t334 @t333))) % 0.82/1.07 (assume @p152 (forall @t331 (=> @t281 (=> @t336 @t328)))) % 0.82/1.07 (assume @p153 (forall @t335 (=> @t337 @t333))) % 0.82/1.07 (assume @p154 (forall @t282 (=> @t340 @t338))) % 0.82/1.07 (assume @p155 (forall @t307 (=> @t202 @t338))) % 0.82/1.07 (assume @p156 (forall @t101 (= @t167 (or @t164 @t100)))) % 0.82/1.07 (assume @p157 (forall @t292 (=> @t340 @t343))) % 0.82/1.07 (assume @p158 (forall @t299 (=> (forall @t297 (=> (_ (_ tptp.ord_less_nat @t294) @t293) @t296)) (=> (forall (@list @t294) (_ @t295 @t294)) @t298)))) % 0.82/1.07 (assume @p159 (= (lambda (@list @t347) (exists (@list @t346) (_ @t347 @t346))) (lambda (@list @t344) (exists @t345 (and (_ @t344 @t138) (forall (@list @t159) (=> @t161 (not (_ @t344 @t159))))))))) % 0.82/1.07 (assume @p160 (forall @t101 (=> @t166 @t348))) % 0.82/1.07 (assume @p161 (forall @t203 (=> @t202 @t351))) % 0.82/1.07 (assume @p162 (forall @t300 (not (_ @t201 @t196)))) % 0.82/1.07 (assume @p163 (forall @t101 (=> @t167 (=> @t168 @t164)))) % 0.82/1.07 (assume @p164 (forall (@list @t99 @t98 @t352) (=> @t166 (=> @t164 @t352)))) % 0.82/1.07 (assume @p165 (forall @t101 (=> @t166 (not (= @t98 @t99))))) % 0.82/1.07 (assume @p166 (forall @t312 (=> @t348 @t353))) % 0.82/1.07 (assume @p167 (forall (@list @t102 @t196) (=> (forall @t176 (=> (forall @t174 (=> (_ (_ tptp.ord_less_nat @t172) @t171) @t173)) @t175)) (_ @t102 @t196)))) % 0.82/1.07 (assume @p168 (forall @t101 (=> @t166 @t168))) % 0.82/1.07 (assume @p169 (forall @t282 (=> @t340 (not @t202)))) % 0.82/1.07 (assume @p170 (forall @t203 (=> @t202 (=> @t308 @t349)))) % 0.82/1.07 (assume @p171 (forall @t203 (=> @t280 @t351))) % 0.82/1.07 (assume @p172 (forall @t226 (not (_ @t165 @t99)))) % 0.82/1.07 (assume @p173 (forall @t101 (or @t166 @t100 @t164))) % 0.82/1.07 (assume @p174 (forall @t306 (=> @t166 @t355))) % 0.82/1.07 (assume @p175 (forall @t307 (=> @t202 (not @t340)))) % 0.82/1.07 (assume @p176 (forall @t101 (= @t168 (or @t166 @t164)))) % 0.82/1.07 (assume @p177 (forall @t226 (exists (@list @t356) (_ @t165 @t356)))) % 0.82/1.07 (assume @p178 (forall @t331 (=> @t202 (=> @t360 @t359)))) % 0.82/1.07 (assume @p179 (forall @t335 (=> @t363 @t362))) % 0.82/1.07 (assume @p180 (forall @t331 (=> @t202 (=> @t330 @t359)))) % 0.82/1.07 (assume @p181 (forall @t335 (=> @t334 @t362))) % 0.82/1.07 (assume @p182 (forall (@list @t102) (=> (exists (@list @t367) (_ @t102 @t367)) (exists (@list @t365) (and (_ @t102 @t365) (forall @t366 (=> (_ @t102 @t364) (_ (_ tptp.ord_less_eq_nat @t365) @t364)))))))) % 0.82/1.07 (assume @p183 (forall @t307 (=> @t338 (=> @t281 @t202)))) % 0.82/1.07 (assume @p184 (forall @t282 (=> @t340 @t220))) % 0.82/1.07 (assume @p185 (= tptp.ord_less_nat (lambda @t370 (and @t286 @t369)))) % 0.82/1.07 (assume @p186 (= tptp.ord_less_eq_nat (lambda @t370 (or (_ (_ tptp.ord_less_nat @t283) @t284) @t368)))) % 0.82/1.07 (assume @p187 (forall @t307 (=> @t202 @t281))) % 0.82/1.07 (assume @p188 (forall @t292 (=> @t340 (=> @t291 @t342)))) % 0.82/1.07 (assume @p189 (forall @t292 (=> @t220 @t343))) % 0.82/1.07 (assume @p190 (= tptp.ord_less_nat (lambda @t287 (and @t285 @t369)))) % 0.82/1.07 (assume @p191 (= tptp.ord_less_eq_nat (lambda @t287 (or (_ (_ tptp.ord_less_nat @t284) @t283) @t368)))) % 0.82/1.07 (assume @p192 (forall @t203 (=> @t202 (=> @t222 @t349)))) % 0.82/1.07 (assume @p193 (forall @t203 (=> @t281 @t351))) % 0.82/1.07 (assume @p194 (forall @t312 (=> @t316 @t166))) % 0.82/1.07 (assume @p195 (= tptp.ord_less_nat (lambda @t322 (and @t321 (not @t320))))) % 0.82/1.07 (assume @p196 (forall @t101 (=> @t305 (or @t166 @t100)))) % 0.82/1.07 (assume @p197 (forall @t101 (or @t305 @t164))) % 0.82/1.07 (assume @p198 (forall @t306 (=> @t166 (=> @t304 @t354)))) % 0.82/1.07 (assume @p199 (forall @t306 (=> @t305 @t355))) % 0.82/1.07 (assume @p200 (forall @t101 (=> @t166 @t305))) % 0.82/1.07 (assume @p201 (forall @t101 (=> @t305 @t353))) % 0.82/1.07 (assume @p202 (forall @t101 (=> @t167 @t310))) % 0.82/1.07 (assume @p203 (forall @t307 (=> @t281 (=> @t338 @t202)))) % 0.82/1.07 (assume @p204 (forall @t101 (= @t167 @t311))) % 0.82/1.07 (assume @p205 (forall @t101 (= @t313 @t164))) % 0.82/1.07 (assume @p206 (forall @t331 (=> @t202 (=> @t336 @t359)))) % 0.82/1.07 (assume @p207 (forall @t335 (=> @t363 (=> @t222 (=> @t327 @t361))))) % 0.82/1.07 (assume @p208 (forall @t331 (=> @t281 (=> @t360 (=> @t327 @t357))))) % 0.82/1.07 (assume @p209 (forall @t335 (=> @t337 @t362))) % 0.82/1.07 (assume @p210 (= tptp.ord_less_nat (lambda @t322 (and @t321 (not @t371))))) % 0.82/1.07 (assume @p211 (= tptp.ord_less_eq_nat (lambda @t322 (or (_ (_ tptp.ord_less_nat @t318) @t319) @t371)))) % 0.82/1.07 (assume @p212 (forall @t101 (=> @t167 @t311))) % 0.82/1.07 (assume @p213 (forall @t312 (=> @t311 @t167))) % 0.82/1.07 (assume @p214 (_ @t243 tptp.msg)) % 0.82/1.07 (assume @p215 (_ (_ @t372 tptp.msga) tptp.occM2)) % 0.82/1.07 (assume @p216 (forall @t232 (=> (_ @t231 @t234) (= (_ @t374 @t229) @t373)))) % 0.82/1.07 (assume @p217 (forall @t366 (=> (_ (_ tptp.ord_less_eq_nat tptp.occM) @t364) (=> @t376 (not (= tptp.msg @t375)))))) % 0.82/1.07 (assume @p218 (forall @t232 (_ (_ tptp.prefix47729710ge_p_v (_ tptp.ft @t229)) (_ tptp.ft @t235)))) % 0.82/1.07 (assume @p219 (exists @t379 (_ @t378 tptp.msg))) % 0.82/1.07 (assume @p220 (_ (_ @t372 tptp.msg) tptp.occM)) % 0.82/1.07 (assume @p221 (forall @t366 (=> (_ @t380 @t364) (=> @t376 (not (= tptp.msga @t375)))))) % 0.82/1.07 (assume @p222 (_ (_ tptp.enabled_p_v_s (_ @t230 tptp.occM)) tptp.msg)) % 0.82/1.07 (assume @p223 (forall @t366 (=> (_ (_ tptp.ord_less_eq_nat tptp.n) @t364) (forall (@list @t381) (=> (_ (_ tptp.ord_less_nat @t381) (_ tptp.size_s1168481041ge_p_v @t382)) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.size_s1168481041ge_p_v (_ tptp.ft tptp.n))) @t381) (not (= tptp.msg2 (_ (_ tptp.nth_message_p_v @t382) @t381))))))))) % 0.82/1.07 (assume @p224 (forall (@list @t386 @t388 @t16 @t383) (=> (and (_ @t387 @t388) (_ (_ tptp.ord_less_nat @t388) (_ tptp.size_s1406904903t_unit @t389)) (_ (_ tptp.enabled_p_v_s (_ @t390 @t386)) @t383)) (or (_ (_ tptp.enabled_p_v_s (_ @t390 @t388)) @t383) (exists (@list @t384) (and (_ @t387 @t384) (_ (_ tptp.ord_less_nat @t384) (_ tptp.size_s1168481041ge_p_v @t385)) (= (_ (_ tptp.nth_message_p_v @t385) @t384) @t383))))))) % 0.82/1.07 (assume @p225 (not (exists @t232 (and (_ @t231 @t9) (_ @t5 @t229) (= tptp.msg2 @t373))))) % 0.82/1.07 (assume @p226 (_ (_ tptp.isReceiverOf_p_v tptp.p2) tptp.msg2)) % 0.82/1.07 (assume @p227 (exists @t379 (_ @t378 tptp.msga))) % 0.82/1.07 (assume @p228 (_ (_ tptp.enabled_p_v_s (_ (_ tptp.nth_co1649820636t_unit @t10) tptp.n0)) tptp.msg2)) % 0.82/1.07 (assume @p229 @t392) % 0.82/1.07 (assume @p230 true) % 0.82/1.07 (step @p231 (= tptp.ord_less_nat @t393) :rule refl :args (@t393)) % 0.82/1.07 (step @p232 :rule refl :args (@t394)) % 0.82/1.07 (step @p233 :rule refl :args (@t74)) % 0.82/1.07 (step @p234 :rule cong :premises (@p233 @p232) :args ((= @t74 @t394))) % 0.82/1.07 (step @p235 :rule symm :premises (@p234)) % 0.82/1.07 (step @p236 :rule eq_resolve :premises (@p233 @p235)) % 0.82/1.07 (step @p237 :rule refl :args (@t12)) % 0.82/1.07 (step @p238 :rule cong :premises (@p237 @p236) :args (@t75)) % 0.82/1.07 (step @p239 :rule cong :premises (@p238) :args (@t76)) % 0.82/1.07 (step @p240 :rule refl :args ((tptp.ord_less_eq_nat @t74 @t12))) % 0.82/1.07 (step @p241 :rule cong :premises (@p232 @p237) :args (@t395)) % 0.82/1.07 (step @p242 :rule trans :premises (@p241 @p240)) % 0.82/1.07 (step @p243 :rule refl :args (tptp.ord_less_eq_nat)) % 0.82/1.07 (step @p244 :rule ho_cong :premises (@p243 @p232)) % 0.82/1.07 (step @p245 :rule ho_cong :premises (@p244 @p237)) % 0.82/1.07 (step @p246 :rule cong :premises (@p245 @p242) :args ((= (_ (_ tptp.ord_less_eq_nat @t394) @t12) @t395))) % 0.82/1.07 (step @p247 :rule symm :premises (@p246)) % 0.82/1.07 (step @p248 :rule refl :args (@t397)) % 0.82/1.07 (step @p249 :rule eq_resolve :premises (@p248 @p247)) % 0.82/1.07 (step @p250 :rule ho_cong :premises (@p243 @p236)) % 0.82/1.07 (step @p251 :rule ho_cong :premises (@p250 @p237)) % 0.82/1.07 (step @p252 :rule trans :premises (@p251 @p249)) % 0.82/1.07 (step @p253 :rule nary_cong :premises (@p252 @p239) :args (@t398)) % 0.82/1.07 (step @p254 :rule refl :args (@t399)) % 0.82/1.07 (step @p255 :rule refl :args (@t400)) % 0.82/1.07 (step @p256 :rule refl :args (@t91)) % 0.82/1.07 (step @p257 :rule cong :premises (@p256 @p255) :args ((= @t91 @t400))) % 0.82/1.07 (step @p258 :rule symm :premises (@p257)) % 0.82/1.07 (step @p259 :rule eq_resolve :premises (@p256 @p258)) % 0.82/1.07 (step @p260 :rule cong :premises (@p259) :args (@t401)) % 0.82/1.07 (step @p261 :rule refl :args (@t402)) % 0.82/1.07 (step @p262 :rule refl :args (@t403)) % 0.82/1.07 (step @p263 :rule refl :args (@t92)) % 0.82/1.07 (step @p264 :rule cong :premises (@p263 @p262) :args ((= @t92 @t403))) % 0.82/1.07 (step @p265 :rule symm :premises (@p264)) % 0.82/1.07 (step @p266 :rule eq_resolve :premises (@p263 @p265)) % 0.82/1.07 (step @p267 :rule cong :premises (@p266) :args (@t404)) % 0.82/1.07 (step @p268 :rule nary_cong :premises (@p267 @p261 @p260 @p254 @p253) :args (@t405)) % 0.82/1.07 (step @p269 :rule cong :premises (@p268) :args ((forall @t15 @t405))) % 0.82/1.07 (step @p270 :rule aci_norm :args ((= (or (or @t404 @t402) @t406) @t405))) % 0.82/1.07 (step @p271 :rule aci_norm :args ((= (or (or @t401 @t399) @t398) @t406))) % 0.82/1.07 (step @p272 :rule refl :args (@t398)) % 0.82/1.07 (step @p273 :rule bool-double-not-elim :args (@t399)) % 0.82/1.07 (step @p274 :rule refl :args (@t401)) % 0.82/1.07 (step @p275 :rule nary_cong :premises (@p274 @p273) :args ((or @t401 (not @t407)))) % 0.82/1.07 (step @p276 :rule bool-and-de-morgan :args (@t91 @t407 true)) % 0.82/1.07 (step @p277 :rule trans :premises (@p276 @p275)) % 0.82/1.07 (step @p278 :rule nary_cong :premises (@p277 @p272) :args ((or (not @t408) @t398))) % 0.82/1.07 (step @p279 :rule trans :premises (@p278 @p271)) % 0.82/1.07 (step @p280 :rule bool-impl-elim :args (@t408 @t398)) % 0.82/1.07 (step @p281 :rule trans :premises (@p280 @p279)) % 0.82/1.07 (step @p282 :rule bool-double-not-elim :args (@t402)) % 0.82/1.07 (step @p283 :rule refl :args (@t404)) % 0.82/1.07 (step @p284 :rule nary_cong :premises (@p283 @p282) :args ((or @t404 (not @t409)))) % 0.82/1.07 (step @p285 :rule bool-and-de-morgan :args (@t92 @t409 true)) % 0.82/1.07 (step @p286 :rule trans :premises (@p285 @p284)) % 0.82/1.07 (step @p287 :rule nary_cong :premises (@p286 @p281) :args ((or (not @t411) @t410))) % 0.82/1.07 (step @p288 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tptp.occM2))) % 0.82/1.08 (assume-push @p630 @t473) % 0.82/1.08 (assume-push @p631 @t483) % 0.82/1.08 (assume-push @p632 @t473) % 0.82/1.08 (assume-push @p633 @t483) % 0.82/1.08 (step @p558 :rule symm :premises (@p630)) % 0.82/1.08 (step @p559 :rule cong :premises (@p558 @p370) :args (@t482)) % 0.82/1.08 (step @p560 :rule trans :premises (@p553 @p559)) % 0.82/1.08 (step-pop @p634 :rule scope :premises (@p560)) % 0.82/1.08 (step-pop @p635 :rule scope :premises (@p634)) % 0.82/1.08 (step @p561 :rule process_scope :premises (@p635) :args (@t437)) % 0.82/1.08 (step @p564 :rule and_intro :premises (@p630 @p553)) % 0.82/1.08 (step @p565 :rule modus_ponens :premises (@p564 @p561)) % 0.82/1.08 (step-pop @p636 :rule scope :premises (@p565)) % 0.82/1.08 (step-pop @p637 :rule scope :premises (@p636)) % 0.82/1.08 (step @p566 :rule process_scope :premises (@p637) :args (@t437)) % 0.82/1.08 (step @p569 :rule implies_elim :premises (@p566)) % 0.82/1.08 (step @p570 :rule cnf_and_neg :args (@t484)) % 0.82/1.08 (step @p571 :rule resolution :premises (@p570 @p569) :args (true @t484)) % 0.82/1.08 (step @p572 :rule reordering :premises (@p571) :args ((or @t437 @t485 (not @t483)))) % 0.82/1.08 (step @p573 :rule chain_m_resolution :premises (@p572 @p421 @p553) :args (@t485 (@list true false) (@list @t437 @t483))) % 0.82/1.08 (step @p574 :rule cnf_or_pos :args (@t478)) % 0.82/1.08 (step @p575 :rule reordering :premises (@p574) :args ((or @t429 @t431 @t473 @t477 (not @t478)))) % 0.82/1.08 (step @p576 :rule chain_m_resolution :premises (@p575 @p422 @p418 @p573 @p528) :args (@t477 (@list true false true false) (@list @t429 @t430 @t473 @t478))) % 0.82/1.08 (step @p577 :rule refl :args (@t493)) % 0.82/1.08 (step @p578 :rule bool-double-not-elim :args (@t476)) % 0.82/1.08 (step @p579 :rule nary_cong :premises (@p578 @p577) :args ((or (not @t477) @t493))) % 0.82/1.08 (step @p580 :rule eq-symm :args (@t487 @t423)) % 0.82/1.08 (step @p581 :rule cong :premises (@p580) :args (@t494)) % 0.82/1.08 (step @p582 :rule refl :args (@t490)) % 0.82/1.08 (step @p583 :rule refl :args (@t491)) % 0.82/1.08 (step @p584 :rule nary_cong :premises (@p583 @p582 @p581) :args (@t495)) % 0.82/1.08 (step @p585 :rule cong :premises (@p584) :args (@t496)) % 0.82/1.08 (step @p586 :rule refl :args (@t477)) % 0.82/1.08 (step @p587 :rule cong :premises (@p586 @p585) :args ((=> @t477 @t496))) % 0.82/1.08 (assume-push @p638 @t477) % 0.82/1.08 (step @p589 :rule skolemize :premises (@p638)) % 0.82/1.08 (step-pop @p639 :rule scope :premises (@p589)) % 0.82/1.08 (step @p590 :rule process_scope :premises (@p639) :args (@t496)) % 0.82/1.08 (step @p592 :rule eq_resolve :premises (@p590 @p587)) % 0.82/1.08 (step @p593 :rule implies_elim :premises (@p592)) % 0.82/1.08 (step @p594 :rule eq_resolve :premises (@p593 @p579)) % 0.82/1.08 (step @p595 :rule chain_m_resolution :premises (@p594 @p576) :args (@t493 @t497 (@list @t476))) % 0.82/1.08 (step @p596 :rule bool-double-not-elim :args (@t488)) % 0.82/1.08 (step @p597 :rule refl :args (@t492)) % 0.82/1.08 (step @p598 :rule nary_cong :premises (@p597 @p596) :args ((or @t492 (not @t489)))) % 0.82/1.08 (step @p599 :rule cnf_or_neg :args (@t492 2)) % 0.82/1.08 (step @p600 :rule eq_resolve :premises (@p599 @p598)) % 0.82/1.08 (step @p601 :rule reordering :premises (@p600) :args ((or @t488 @t492))) % 0.82/1.08 (step @p602 :rule chain_m_resolution :premises (@p601 @p595) :args (@t488 @t497 (@list @t492))) % 0.82/1.08 (step @p603 :rule instantiate :premises (@p552) :args ((@list @t486))) % 0.82/1.08 (assume-push @p640 @t488) % 0.82/1.08 (assume-push @p641 @t499) % 0.82/1.08 (assume-push @p642 @t488) % 0.82/1.08 (assume-push @p643 @t499) % 0.82/1.08 (step @p608 :rule symm :premises (@p640)) % 0.82/1.08 (step @p609 :rule cong :premises (@p608 @p370) :args (@t498)) % 0.82/1.08 (step @p610 :rule trans :premises (@p603 @p609)) % 0.82/1.08 (step @p611 :rule cong :premises (@p610) :args (@t487)) % 0.82/1.08 (step @p612 :rule trans :premises (@p640 @p611)) % 0.82/1.08 (step-pop @p644 :rule scope :premises (@p612)) % 0.82/1.08 (step-pop @p645 :rule scope :premises (@p644)) % 0.82/1.08 (step @p613 :rule process_scope :premises (@p645) :args (@t426)) % 0.82/1.08 (step @p616 :rule and_intro :premises (@p640 @p603)) % 0.82/1.08 (step @p617 :rule modus_ponens :premises (@p616 @p613)) % 0.82/1.08 (step-pop @p646 :rule scope :premises (@p617)) % 0.82/1.08 (step-pop @p647 :rule scope :premises (@p646)) % 0.82/1.08 (step @p618 :rule process_scope :premises (@p647) :args (@t426)) % 0.82/1.08 (step @p621 :rule implies_elim :premises (@p618)) % 0.82/1.08 (step @p622 :rule cnf_and_neg :args (@t500)) % 0.82/1.08 (step @p623 :rule resolution :premises (@p622 @p621) :args (true @t500)) % 0.82/1.08 (step @p624 :rule reordering :premises (@p623) :args ((or @t426 @t489 (not @t499)))) % 0.82/1.08 (step @p625 false :rule chain_m_resolution :premises (@p624 @p603 @p602 @p428) :args (false (@list false false true) (@list @t499 @t488 @t426))) % 0.82/1.08 ) % 0.82/1.08 % SZS output end Proof % 0.82/1.08 % cvc5 exiting %------------------------------------------------------------------------------