%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP043^1 : 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 : n009.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 08:24:53 AM UTC 2026 % Result : Theorem 0.45s 0.79s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP043^1 : 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 : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 04:11:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.41/0.59 %----Proving TH0 % 0.45/0.79 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.79 % SZS status Theorem % 0.45/0.79 % SZS output start Proof % 0.45/0.79 ( % 0.45/0.79 (declare-sort tptp.int 0) % 0.45/0.79 (declare-sort tptp.nat 0) % 0.45/0.79 (declare-sort tptp.a 0) % 0.45/0.79 (declare-sort tptp.list_a 0) % 0.45/0.79 (declare-sort tptp.list_nat 0) % 0.45/0.79 (declare-sort tptp.list_list_nat 0) % 0.45/0.79 (declare-sort tptp.list_list_a 0) % 0.45/0.79 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) % 0.45/0.79 (declare-const tptp.size_size_list_nat (-> tptp.list_nat tptp.nat)) % 0.45/0.79 (declare-const tptp.ord_less_int (-> tptp.int tptp.int Bool)) % 0.45/0.79 (declare-const tptp.ord_less_eq_int (-> tptp.int tptp.int Bool)) % 0.45/0.79 (declare-const tptp.plus_plus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.45/0.79 (declare-const tptp.plus_plus_a (-> tptp.a tptp.a tptp.a)) % 0.45/0.79 (declare-const tptp.zero_zero_int tptp.int) % 0.45/0.79 (declare-const tptp.ord_less_a (-> tptp.a tptp.a Bool)) % 0.45/0.79 (declare-const tptp.size_size_list_a (-> tptp.list_a tptp.nat)) % 0.45/0.79 (declare-const tptp.plus_plus_int (-> tptp.int tptp.int tptp.int)) % 0.45/0.79 (declare-const tptp.v (-> tptp.list_a tptp.int)) % 0.45/0.79 (declare-const tptp.nil_nat tptp.list_nat) % 0.45/0.79 (declare-const tptp.cons_a (-> tptp.a tptp.list_a tptp.list_a)) % 0.45/0.79 (declare-const tptp.cons_nat (-> tptp.nat tptp.list_nat tptp.list_nat)) % 0.45/0.79 (declare-const tptp.p tptp.nat) % 0.45/0.79 (declare-const tptp.zero_zero_nat tptp.nat) % 0.45/0.79 (declare-const tptp.replicate_a (-> tptp.nat tptp.a tptp.list_a)) % 0.45/0.79 (declare-const tptp.xs1 tptp.list_a) % 0.45/0.79 (declare-const tptp.descar226543321ms_nat (-> tptp.list_nat tptp.list_nat)) % 0.45/0.79 (declare-const tptp.xs tptp.list_a) % 0.45/0.79 (declare-const tptp.nil_list_a tptp.list_list_a) % 0.45/0.79 (declare-const tptp.last_a (-> tptp.list_a tptp.a)) % 0.45/0.79 (declare-const tptp.nil_a tptp.list_a) % 0.45/0.79 (declare-const tptp.xs2 tptp.list_a) % 0.45/0.79 (declare-const tptp.zero_zero_a tptp.a) % 0.45/0.79 (declare-const tptp.nth_a (-> tptp.list_a tptp.nat tptp.a)) % 0.45/0.79 (declare-const tptp.descar1375166517sums_a (-> tptp.list_a tptp.list_a)) % 0.45/0.79 (declare-const tptp.xsa tptp.list_a) % 0.45/0.79 (declare-const tptp.append_a (-> tptp.list_a tptp.list_a tptp.list_a)) % 0.45/0.79 (declare-const tptp.replicate_nat (-> tptp.nat tptp.nat tptp.list_nat)) % 0.45/0.79 (declare-const tptp.append_nat (-> tptp.list_nat tptp.list_nat tptp.list_nat)) % 0.45/0.79 (declare-const tptp.take_a (-> tptp.nat tptp.list_a tptp.list_a)) % 0.45/0.79 (declare-const tptp.xa tptp.a) % 0.45/0.79 (declare-const tptp.nil_list_nat tptp.list_list_nat) % 0.45/0.79 (declare-const tptp.ord_less_eq_a (-> tptp.a tptp.a Bool)) % 0.45/0.79 (declare-const tptp.cons_list_a (-> tptp.list_a tptp.list_list_a tptp.list_list_a)) % 0.45/0.79 (declare-const tptp.nth_nat (-> tptp.list_nat tptp.nat tptp.nat)) % 0.45/0.79 (declare-const tptp.last_nat (-> tptp.list_nat tptp.nat)) % 0.45/0.79 (declare-const tptp.cons_list_nat (-> tptp.list_nat tptp.list_list_nat tptp.list_list_nat)) % 0.45/0.79 (define tptp.ord_less_eq_nat () (let ((_let_1 (@var "N2" tptp.nat))) (let ((_let_2 (@var "M2" tptp.nat))) (lambda (@list _let_2 _let_1) (or (_ (_ tptp.ord_less_nat _let_2) _let_1) (= _let_2 _let_1)))))) % 0.45/0.79 (define @t1 () (_ tptp.nth_a tptp.xsa)) % 0.45/0.79 (define @t2 () (_ @t1 tptp.p)) % 0.45/0.79 (define @t3 () (@var "Xs" tptp.list_nat)) % 0.45/0.79 (define @t4 () (_ tptp.descar226543321ms_nat @t3)) % 0.45/0.79 (define @t5 () (_ tptp.cons_nat tptp.zero_zero_nat)) % 0.45/0.79 (define @t6 () (@list @t3)) % 0.45/0.79 (define @t7 () (@var "Xs" tptp.list_a)) % 0.45/0.79 (define @t8 () (_ tptp.descar1375166517sums_a @t7)) % 0.45/0.79 (define @t9 () (_ tptp.cons_a tptp.zero_zero_a)) % 0.45/0.79 (define @t10 () (@list @t7)) % 0.45/0.79 (define @t11 () (_ (_ tptp.replicate_a tptp.p) tptp.zero_zero_a)) % 0.45/0.79 (define @t12 () (_ tptp.cons_a @t2)) % 0.45/0.79 (define @t13 () (_ @t12 tptp.xs2)) % 0.45/0.79 (define @t14 () (= tptp.xsa (_ (_ tptp.append_a tptp.xs1) @t13))) % 0.45/0.79 (define @t15 () (@var "N" tptp.nat)) % 0.45/0.79 (define @t16 () (_ tptp.replicate_nat @t15)) % 0.45/0.79 (define @t17 () (_ tptp.append_nat (_ @t16 tptp.zero_zero_nat))) % 0.45/0.79 (define @t18 () (_ tptp.replicate_a @t15)) % 0.45/0.79 (define @t19 () (_ @t18 tptp.zero_zero_a)) % 0.45/0.79 (define @t20 () (_ tptp.append_a @t19)) % 0.45/0.79 (define @t21 () (_ @t20 @t8)) % 0.45/0.79 (define @t22 () (_ @t20 @t7)) % 0.45/0.79 (define @t23 () (_ tptp.descar1375166517sums_a @t22)) % 0.45/0.79 (define @t24 () (= @t23 @t21)) % 0.45/0.79 (define @t25 () (@list @t15 @t7)) % 0.45/0.79 (define @t26 () (forall @t25 @t24)) % 0.45/0.79 (define @t27 () (@var "Q" tptp.nat)) % 0.45/0.79 (define @t28 () (@var "X" tptp.nat)) % 0.45/0.79 (define @t29 () (_ @t16 @t28)) % 0.45/0.79 (define @t30 () (_ tptp.append_nat @t29)) % 0.45/0.79 (define @t31 () (_ tptp.cons_nat @t28)) % 0.45/0.79 (define @t32 () (_ @t31 @t3)) % 0.45/0.79 (define @t33 () (@var "X" tptp.a)) % 0.45/0.79 (define @t34 () (_ @t18 @t33)) % 0.45/0.79 (define @t35 () (_ tptp.append_a @t34)) % 0.45/0.79 (define @t36 () (_ tptp.cons_a @t33)) % 0.45/0.79 (define @t37 () (_ @t36 @t7)) % 0.45/0.79 (define @t38 () (@var "C" tptp.list_a)) % 0.45/0.79 (define @t39 () (@var "B" tptp.list_a)) % 0.45/0.79 (define @t40 () (@var "A" tptp.list_a)) % 0.45/0.79 (define @t41 () (_ tptp.append_a @t40)) % 0.45/0.79 (define @t42 () (@var "C" tptp.list_nat)) % 0.45/0.79 (define @t43 () (@var "B" tptp.list_nat)) % 0.45/0.79 (define @t44 () (@var "A" tptp.list_nat)) % 0.45/0.79 (define @t45 () (_ tptp.append_nat @t44)) % 0.45/0.79 (define @t46 () (@var "Zs" tptp.list_a)) % 0.45/0.79 (define @t47 () (@var "Ys" tptp.list_a)) % 0.45/0.79 (define @t48 () (_ tptp.append_a @t47)) % 0.45/0.79 (define @t49 () (_ @t48 @t46)) % 0.45/0.79 (define @t50 () (_ tptp.append_a @t7)) % 0.45/0.79 (define @t51 () (_ @t50 @t47)) % 0.45/0.79 (define @t52 () (@list @t7 @t47 @t46)) % 0.45/0.79 (define @t53 () (@var "Zs" tptp.list_nat)) % 0.45/0.79 (define @t54 () (@var "Ys" tptp.list_nat)) % 0.45/0.79 (define @t55 () (_ tptp.append_nat @t54)) % 0.45/0.79 (define @t56 () (_ @t55 @t53)) % 0.45/0.79 (define @t57 () (_ tptp.append_nat @t3)) % 0.45/0.79 (define @t58 () (_ @t57 @t54)) % 0.45/0.79 (define @t59 () (@list @t3 @t54 @t53)) % 0.45/0.79 (define @t60 () (= @t47 @t46)) % 0.45/0.79 (define @t61 () (_ tptp.append_a @t46)) % 0.45/0.79 (define @t62 () (= @t54 @t53)) % 0.45/0.79 (define @t63 () (_ tptp.append_nat @t53)) % 0.45/0.79 (define @t64 () (_ tptp.ord_less_eq_a tptp.zero_zero_a)) % 0.45/0.79 (define @t65 () (@var "Y22" tptp.list_a)) % 0.45/0.79 (define @t66 () (@var "X22" tptp.list_a)) % 0.45/0.79 (define @t67 () (@var "Y21" tptp.a)) % 0.45/0.79 (define @t68 () (@var "X21" tptp.a)) % 0.45/0.79 (define @t69 () (_ (_ tptp.cons_a @t68) @t66)) % 0.45/0.79 (define @t70 () (@var "Y22" tptp.list_nat)) % 0.45/0.79 (define @t71 () (@var "X22" tptp.list_nat)) % 0.45/0.79 (define @t72 () (@var "Y21" tptp.nat)) % 0.45/0.79 (define @t73 () (@var "X21" tptp.nat)) % 0.45/0.79 (define @t74 () (_ (_ tptp.cons_nat @t73) @t71)) % 0.45/0.79 (define @t75 () (@var "K" tptp.nat)) % 0.45/0.79 (define @t76 () (_ (_ tptp.replicate_a @t75) @t33)) % 0.45/0.79 (define @t77 () (_ (_ tptp.replicate_nat @t75) @t28)) % 0.45/0.79 (define @t78 () (= @t37 @t49)) % 0.45/0.79 (define @t79 () (@var "Xs1" tptp.list_a)) % 0.45/0.79 (define @t80 () (_ tptp.append_a @t79)) % 0.45/0.79 (define @t81 () (= @t32 @t56)) % 0.45/0.79 (define @t82 () (@var "Xs1" tptp.list_nat)) % 0.45/0.79 (define @t83 () (_ tptp.append_nat @t82)) % 0.45/0.79 (define @t84 () (@var "Y" tptp.a)) % 0.45/0.79 (define @t85 () (= @t33 @t84)) % 0.45/0.79 (define @t86 () (@var "M" tptp.nat)) % 0.45/0.79 (define @t87 () (not (= @t86 tptp.zero_zero_nat))) % 0.45/0.79 (define @t88 () (= @t86 @t15)) % 0.45/0.79 (define @t89 () (@var "Y" tptp.nat)) % 0.45/0.79 (define @t90 () (= @t28 @t89)) % 0.45/0.79 (define @t91 () (= @t15 tptp.zero_zero_nat)) % 0.45/0.79 (define @t92 () (@list @t15)) % 0.45/0.79 (define @t93 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) % 0.45/0.79 (define @t94 () (_ @t93 @t15)) % 0.45/0.79 (define @t95 () (@list @t44)) % 0.45/0.79 (define @t96 () (@list @t40)) % 0.45/0.79 (define @t97 () (= @t54 tptp.nil_nat)) % 0.45/0.79 (define @t98 () (= @t3 tptp.nil_nat)) % 0.45/0.79 (define @t99 () (and @t98 @t97)) % 0.45/0.79 (define @t100 () (@list @t3 @t54)) % 0.45/0.79 (define @t101 () (= @t47 tptp.nil_a)) % 0.45/0.79 (define @t102 () (= @t7 tptp.nil_a)) % 0.45/0.79 (define @t103 () (and @t102 @t101)) % 0.45/0.79 (define @t104 () (@list @t7 @t47)) % 0.45/0.79 (define @t105 () (@list @t54 @t3)) % 0.45/0.79 (define @t106 () (@list @t47 @t7)) % 0.45/0.79 (define @t107 () (@list @t33 @t7)) % 0.45/0.79 (define @t108 () (@list @t28 @t3)) % 0.45/0.79 (define @t109 () (_ tptp.take_a tptp.zero_zero_nat)) % 0.45/0.79 (define @t110 () (_ tptp.take_a @t15)) % 0.45/0.79 (define @t111 () (_ @t110 @t7)) % 0.45/0.79 (define @t112 () (@list @t15 @t33)) % 0.45/0.79 (define @t113 () (@list @t15 @t28)) % 0.45/0.79 (define @t114 () (not @t91)) % 0.45/0.79 (define @t115 () (= @t7 @t47)) % 0.45/0.79 (define @t116 () (_ @t36 tptp.nil_a)) % 0.45/0.79 (define @t117 () (_ @t50 @t116)) % 0.45/0.79 (define @t118 () (= @t3 @t54)) % 0.45/0.79 (define @t119 () (_ @t31 tptp.nil_nat)) % 0.45/0.79 (define @t120 () (_ @t57 @t119)) % 0.45/0.79 (define @t121 () (@var "I" tptp.nat)) % 0.45/0.79 (define @t122 () (_ tptp.nth_a @t7)) % 0.45/0.79 (define @t123 () (_ tptp.ord_less_nat @t121)) % 0.45/0.79 (define @t124 () (_ @t123 @t15)) % 0.45/0.79 (define @t125 () (_ tptp.last_nat @t3)) % 0.45/0.79 (define @t126 () (_ tptp.last_nat @t58)) % 0.45/0.79 (define @t127 () (=> @t97 (= @t126 @t125))) % 0.45/0.79 (define @t128 () (_ tptp.last_a @t7)) % 0.45/0.79 (define @t129 () (_ tptp.last_a @t51)) % 0.45/0.79 (define @t130 () (=> @t101 (= @t129 @t128))) % 0.45/0.79 (define @t131 () (=> (not @t97) (= @t126 (_ tptp.last_nat @t54)))) % 0.45/0.79 (define @t132 () (=> (not @t101) (= @t129 (_ tptp.last_a @t47)))) % 0.45/0.79 (define @t133 () (@list @t7 @t33)) % 0.45/0.79 (define @t134 () (@list @t3 @t28)) % 0.45/0.79 (define @t135 () (_ tptp.last_a @t37)) % 0.45/0.79 (define @t136 () (not @t102)) % 0.45/0.79 (define @t137 () (=> @t136 (= @t135 @t128))) % 0.45/0.79 (define @t138 () (=> @t102 (= @t135 @t33))) % 0.45/0.79 (define @t139 () (_ tptp.last_nat @t32)) % 0.45/0.79 (define @t140 () (not @t98)) % 0.45/0.79 (define @t141 () (=> @t140 (= @t139 @t125))) % 0.45/0.79 (define @t142 () (=> @t98 (= @t139 @t28))) % 0.45/0.79 (define @t143 () (@var "I2" tptp.nat)) % 0.45/0.79 (define @t144 () (_ tptp.take_a @t143)) % 0.45/0.79 (define @t145 () (@list @t143)) % 0.45/0.79 (define @t146 () (@var "Xss" tptp.list_list_a)) % 0.45/0.79 (define @t147 () (@var "Xs3" tptp.list_a)) % 0.45/0.79 (define @t148 () (@var "X2" tptp.a)) % 0.45/0.79 (define @t149 () (_ tptp.cons_a @t148)) % 0.45/0.79 (define @t150 () (_ @t149 @t147)) % 0.45/0.79 (define @t151 () (@var "X" tptp.list_list_a)) % 0.45/0.79 (define @t152 () (@var "Xss" tptp.list_list_nat)) % 0.45/0.79 (define @t153 () (@var "Xs3" tptp.list_nat)) % 0.45/0.79 (define @t154 () (@var "X2" tptp.nat)) % 0.45/0.79 (define @t155 () (_ tptp.cons_nat @t154)) % 0.45/0.79 (define @t156 () (_ @t155 @t153)) % 0.45/0.79 (define @t157 () (@var "X" tptp.list_list_nat)) % 0.45/0.79 (define @t158 () (@var "Ys2" tptp.list_nat)) % 0.45/0.79 (define @t159 () (@var "Xs4" tptp.list_nat)) % 0.45/0.79 (define @t160 () (@var "Ss" tptp.list_nat)) % 0.45/0.79 (define @t161 () (@var "Ys2" tptp.list_a)) % 0.45/0.79 (define @t162 () (@var "Xs4" tptp.list_a)) % 0.45/0.79 (define @t163 () (@var "Ss" tptp.list_a)) % 0.45/0.79 (define @t164 () (@list @t33)) % 0.45/0.79 (define @t165 () (@list @t28)) % 0.45/0.79 (define @t166 () (_ (_ tptp.ord_less_nat @t86) @t15)) % 0.45/0.79 (define @t167 () (@list @t86 @t15)) % 0.45/0.79 (define @t168 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 0.45/0.79 (define @t169 () (_ @t168 @t28)) % 0.45/0.79 (define @t170 () (@var "A0" tptp.list_a)) % 0.45/0.79 (define @t171 () (@var "P" (-> tptp.list_a Bool))) % 0.45/0.79 (define @t172 () (_ @t171 @t170)) % 0.45/0.79 (define @t173 () (@var "Ys3" tptp.list_a)) % 0.45/0.79 (define @t174 () (_ @t149 @t173)) % 0.45/0.79 (define @t175 () (@list @t148 @t173)) % 0.45/0.79 (define @t176 () (_ @t171 tptp.nil_a)) % 0.45/0.79 (define @t177 () (@list @t171 @t170)) % 0.45/0.79 (define @t178 () (@var "A0" tptp.list_nat)) % 0.45/0.79 (define @t179 () (@var "P" (-> tptp.list_nat Bool))) % 0.45/0.79 (define @t180 () (_ @t179 @t178)) % 0.45/0.79 (define @t181 () (@var "Ys3" tptp.list_nat)) % 0.45/0.79 (define @t182 () (_ @t155 @t181)) % 0.45/0.79 (define @t183 () (@list @t154 @t181)) % 0.45/0.79 (define @t184 () (_ @t179 tptp.nil_nat)) % 0.45/0.79 (define @t185 () (@list @t179 @t178)) % 0.45/0.79 (define @t186 () (@var "X" tptp.list_a)) % 0.45/0.79 (define @t187 () (= @t186 tptp.nil_a)) % 0.45/0.79 (define @t188 () (not @t187)) % 0.45/0.79 (define @t189 () (@list @t186)) % 0.45/0.79 (define @t190 () (@var "X" tptp.list_nat)) % 0.45/0.79 (define @t191 () (= @t190 tptp.nil_nat)) % 0.45/0.79 (define @t192 () (not @t191)) % 0.45/0.79 (define @t193 () (@list @t190)) % 0.45/0.79 (define @t194 () (@var "A2" tptp.list_a)) % 0.45/0.79 (define @t195 () (@var "A1" tptp.list_a)) % 0.45/0.79 (define @t196 () (@var "A0" (-> tptp.a tptp.a))) % 0.45/0.79 (define @t197 () (@var "P" (-> (-> tptp.a tptp.a) tptp.list_a tptp.list_a Bool))) % 0.45/0.79 (define @t198 () (@var "Bs" tptp.list_a)) % 0.45/0.79 (define @t199 () (@var "As" tptp.list_a)) % 0.45/0.79 (define @t200 () (@var "A3" tptp.a)) % 0.45/0.79 (define @t201 () (_ (_ tptp.cons_a @t200) @t199)) % 0.45/0.79 (define @t202 () (@var "F" (-> tptp.a tptp.a))) % 0.45/0.79 (define @t203 () (_ @t197 @t202)) % 0.45/0.79 (define @t204 () (@var "X_1" tptp.list_a)) % 0.45/0.79 (define @t205 () (@var "A1" tptp.list_nat)) % 0.45/0.79 (define @t206 () (@var "A0" (-> tptp.nat tptp.a))) % 0.45/0.79 (define @t207 () (@var "P" (-> (-> tptp.nat tptp.a) tptp.list_nat tptp.list_a Bool))) % 0.45/0.79 (define @t208 () (@var "As" tptp.list_nat)) % 0.45/0.79 (define @t209 () (@var "A3" tptp.nat)) % 0.45/0.79 (define @t210 () (_ (_ tptp.cons_nat @t209) @t208)) % 0.45/0.79 (define @t211 () (@var "F" (-> tptp.nat tptp.a))) % 0.45/0.79 (define @t212 () (_ @t207 @t211)) % 0.45/0.79 (define @t213 () (@var "A2" tptp.list_nat)) % 0.45/0.79 (define @t214 () (@var "A0" (-> tptp.a tptp.nat))) % 0.45/0.79 (define @t215 () (@var "P" (-> (-> tptp.a tptp.nat) tptp.list_a tptp.list_nat Bool))) % 0.45/0.79 (define @t216 () (@var "Bs" tptp.list_nat)) % 0.45/0.79 (define @t217 () (@var "F" (-> tptp.a tptp.nat))) % 0.45/0.79 (define @t218 () (_ @t215 @t217)) % 0.45/0.79 (define @t219 () (@var "X_1" tptp.list_nat)) % 0.45/0.79 (define @t220 () (@var "A0" (-> tptp.nat tptp.nat))) % 0.45/0.79 (define @t221 () (@var "P" (-> (-> tptp.nat tptp.nat) tptp.list_nat tptp.list_nat Bool))) % 0.45/0.79 (define @t222 () (@var "F" (-> tptp.nat tptp.nat))) % 0.45/0.79 (define @t223 () (_ @t221 @t222)) % 0.45/0.79 (define @t224 () (_ @t171 @t7)) % 0.45/0.79 (define @t225 () (_ @t171 @t150)) % 0.45/0.79 (define @t226 () (_ @t171 @t147)) % 0.45/0.79 (define @t227 () (not (= @t147 tptp.nil_a))) % 0.45/0.79 (define @t228 () (@list @t148 @t147)) % 0.45/0.79 (define @t229 () (_ @t149 tptp.nil_a)) % 0.45/0.79 (define @t230 () (@list @t148)) % 0.45/0.79 (define @t231 () (forall @t230 (_ @t171 @t229))) % 0.45/0.79 (define @t232 () (@list @t7 @t171)) % 0.45/0.79 (define @t233 () (_ @t179 @t3)) % 0.45/0.79 (define @t234 () (_ @t179 @t156)) % 0.45/0.79 (define @t235 () (_ @t179 @t153)) % 0.45/0.79 (define @t236 () (not (= @t153 tptp.nil_nat))) % 0.45/0.79 (define @t237 () (@list @t154 @t153)) % 0.45/0.79 (define @t238 () (_ @t155 tptp.nil_nat)) % 0.45/0.79 (define @t239 () (@list @t154)) % 0.45/0.79 (define @t240 () (forall @t239 (_ @t179 @t238))) % 0.45/0.79 (define @t241 () (@list @t3 @t179)) % 0.45/0.79 (define @t242 () (@var "A0" (-> tptp.a tptp.a Bool))) % 0.45/0.79 (define @t243 () (@var "P" (-> (-> tptp.a tptp.a Bool) tptp.list_a Bool))) % 0.45/0.79 (define @t244 () (_ (_ @t243 @t242) @t195)) % 0.45/0.79 (define @t245 () (@var "Y2" tptp.a)) % 0.45/0.79 (define @t246 () (_ tptp.cons_a @t245)) % 0.45/0.79 (define @t247 () (_ @t246 @t147)) % 0.45/0.79 (define @t248 () (_ @t149 @t247)) % 0.45/0.79 (define @t249 () (@var "P2" (-> tptp.a tptp.a Bool))) % 0.45/0.79 (define @t250 () (_ @t243 @t249)) % 0.45/0.79 (define @t251 () (forall (@list @t249) (_ @t250 tptp.nil_a))) % 0.45/0.79 (define @t252 () (@list @t243 @t242 @t195)) % 0.45/0.79 (define @t253 () (@var "A0" (-> tptp.nat tptp.nat Bool))) % 0.45/0.79 (define @t254 () (@var "P" (-> (-> tptp.nat tptp.nat Bool) tptp.list_nat Bool))) % 0.45/0.79 (define @t255 () (_ (_ @t254 @t253) @t205)) % 0.45/0.79 (define @t256 () (@var "Y2" tptp.nat)) % 0.45/0.79 (define @t257 () (_ tptp.cons_nat @t256)) % 0.45/0.79 (define @t258 () (_ @t257 @t153)) % 0.45/0.79 (define @t259 () (_ @t155 @t258)) % 0.45/0.79 (define @t260 () (@var "P2" (-> tptp.nat tptp.nat Bool))) % 0.45/0.79 (define @t261 () (_ @t254 @t260)) % 0.45/0.79 (define @t262 () (forall (@list @t260) (_ @t261 tptp.nil_nat))) % 0.45/0.79 (define @t263 () (@list @t254 @t253 @t205)) % 0.45/0.79 (define @t264 () (= @t148 @t245)) % 0.45/0.79 (define @t265 () (@list @t148 @t245 @t147)) % 0.45/0.79 (define @t266 () (= @t154 @t256)) % 0.45/0.79 (define @t267 () (@list @t154 @t256 @t153)) % 0.45/0.79 (define @t268 () (@var "P" (-> tptp.list_a tptp.list_a Bool))) % 0.45/0.79 (define @t269 () (_ (_ @t268 @t170) @t195)) % 0.45/0.79 (define @t270 () (_ @t246 @t173)) % 0.45/0.79 (define @t271 () (_ @t268 @t150)) % 0.45/0.79 (define @t272 () (_ @t271 @t270)) % 0.45/0.79 (define @t273 () (_ @t271 @t173)) % 0.45/0.79 (define @t274 () (_ @t268 @t147)) % 0.45/0.79 (define @t275 () (@list @t148 @t147 @t245 @t173)) % 0.45/0.79 (define @t276 () (@list @t147)) % 0.45/0.79 (define @t277 () (forall @t276 (_ @t274 tptp.nil_a))) % 0.45/0.79 (define @t278 () (_ @t268 tptp.nil_a)) % 0.45/0.79 (define @t279 () (forall (@list @t204) (_ @t278 @t204))) % 0.45/0.79 (define @t280 () (@list @t268 @t170 @t195)) % 0.45/0.79 (define @t281 () (@var "P" (-> tptp.list_nat tptp.list_nat Bool))) % 0.45/0.79 (define @t282 () (_ (_ @t281 @t178) @t205)) % 0.45/0.79 (define @t283 () (_ @t257 @t181)) % 0.45/0.79 (define @t284 () (_ @t281 @t156)) % 0.45/0.79 (define @t285 () (_ @t284 @t283)) % 0.45/0.79 (define @t286 () (_ @t284 @t181)) % 0.45/0.79 (define @t287 () (_ @t281 @t153)) % 0.45/0.79 (define @t288 () (@list @t154 @t153 @t256 @t181)) % 0.45/0.79 (define @t289 () (forall (@list @t153) (_ @t287 tptp.nil_nat))) % 0.45/0.79 (define @t290 () (_ @t281 tptp.nil_nat)) % 0.45/0.79 (define @t291 () (forall (@list @t219) (_ @t290 @t219))) % 0.45/0.79 (define @t292 () (@list @t281 @t178 @t205)) % 0.45/0.79 (define @t293 () (@var "X222" tptp.list_a)) % 0.45/0.79 (define @t294 () (@var "X212" tptp.a)) % 0.45/0.79 (define @t295 () (@var "X222" tptp.list_nat)) % 0.45/0.79 (define @t296 () (@var "X212" tptp.nat)) % 0.45/0.79 (define @t297 () (@var "Zs2" tptp.list_a)) % 0.45/0.79 (define @t298 () (_ @t246 @t297)) % 0.45/0.79 (define @t299 () (@list @t171 @t7)) % 0.45/0.79 (define @t300 () (@var "Zs2" tptp.list_nat)) % 0.45/0.79 (define @t301 () (_ @t257 @t300)) % 0.45/0.79 (define @t302 () (@list @t179 @t3)) % 0.45/0.79 (define @t303 () (forall @t275 (=> (_ @t274 @t173) @t272))) % 0.45/0.79 (define @t304 () (@list @t245 @t173)) % 0.45/0.79 (define @t305 () (forall @t304 (_ @t278 @t270))) % 0.45/0.79 (define @t306 () (@var "P" (-> tptp.list_a tptp.list_nat Bool))) % 0.45/0.79 (define @t307 () (_ @t306 @t150)) % 0.45/0.79 (define @t308 () (_ @t306 tptp.nil_a)) % 0.45/0.79 (define @t309 () (@list @t256 @t181)) % 0.45/0.79 (define @t310 () (@var "P" (-> tptp.list_nat tptp.list_a Bool))) % 0.45/0.79 (define @t311 () (_ @t310 @t156)) % 0.45/0.79 (define @t312 () (_ @t310 tptp.nil_nat)) % 0.45/0.79 (define @t313 () (forall @t288 (=> (_ @t287 @t181) @t285))) % 0.45/0.79 (define @t314 () (@var "Ys4" tptp.list_a)) % 0.45/0.79 (define @t315 () (@var "Y3" tptp.a)) % 0.45/0.79 (define @t316 () (@var "Ys4" tptp.list_nat)) % 0.45/0.79 (define @t317 () (@var "Y3" tptp.nat)) % 0.45/0.79 (define @t318 () (@var "List" tptp.list_a)) % 0.45/0.79 (define @t319 () (@var "X23" tptp.list_a)) % 0.45/0.79 (define @t320 () (@var "X1" tptp.a)) % 0.45/0.79 (define @t321 () (@var "List" tptp.list_nat)) % 0.45/0.79 (define @t322 () (@var "X23" tptp.list_nat)) % 0.45/0.79 (define @t323 () (@var "X1" tptp.nat)) % 0.45/0.79 (define @t324 () (@var "X223" tptp.list_a)) % 0.45/0.79 (define @t325 () (@var "X213" tptp.a)) % 0.45/0.79 (define @t326 () (@var "Y" tptp.list_a)) % 0.45/0.79 (define @t327 () (@var "X223" tptp.list_nat)) % 0.45/0.79 (define @t328 () (@var "X213" tptp.nat)) % 0.45/0.79 (define @t329 () (@var "Y" tptp.list_nat)) % 0.45/0.79 (define @t330 () (_ tptp.append_nat tptp.nil_nat)) % 0.45/0.79 (define @t331 () (_ tptp.append_a tptp.nil_a)) % 0.45/0.79 (define @t332 () (_ @t330 @t54)) % 0.45/0.79 (define @t333 () (_ @t331 @t47)) % 0.45/0.79 (define @t334 () (=> @t226 (_ @t171 (_ (_ tptp.append_a @t147) @t229)))) % 0.45/0.79 (define @t335 () (=> @t235 (_ @t179 (_ (_ tptp.append_nat @t153) @t238)))) % 0.45/0.79 (define @t336 () (@var "Ys5" tptp.list_a)) % 0.45/0.79 (define @t337 () (_ (_ tptp.append_a @t336) @t46)) % 0.45/0.79 (define @t338 () (_ @t36 @t336)) % 0.45/0.79 (define @t339 () (@list @t336)) % 0.45/0.79 (define @t340 () (@var "Ys5" tptp.list_nat)) % 0.45/0.79 (define @t341 () (_ (_ tptp.append_nat @t340) @t53)) % 0.45/0.79 (define @t342 () (_ @t31 @t340)) % 0.45/0.79 (define @t343 () (@list @t340)) % 0.45/0.79 (define @t344 () (_ (_ tptp.replicate_a @t121) @t33)) % 0.45/0.79 (define @t345 () (_ (_ tptp.replicate_nat @t121) @t28)) % 0.45/0.79 (define @t346 () (= @t33 tptp.zero_zero_a)) % 0.45/0.79 (define @t347 () (= @t28 tptp.zero_zero_nat)) % 0.45/0.79 (define @t348 () (@var "Ts" tptp.list_a)) % 0.45/0.79 (define @t349 () (@var "Us" tptp.list_a)) % 0.45/0.79 (define @t350 () (_ tptp.append_a @t349)) % 0.45/0.79 (define @t351 () (@var "Ts" tptp.list_nat)) % 0.45/0.79 (define @t352 () (@var "Us" tptp.list_nat)) % 0.45/0.79 (define @t353 () (_ tptp.append_nat @t352)) % 0.45/0.79 (define @t354 () (@var "Us2" tptp.list_a)) % 0.45/0.79 (define @t355 () (@var "Us2" tptp.list_nat)) % 0.45/0.79 (define @t356 () (@var "Xs5" tptp.list_a)) % 0.45/0.79 (define @t357 () (_ tptp.append_a @t356)) % 0.45/0.79 (define @t358 () (@var "A" tptp.nat)) % 0.45/0.79 (define @t359 () (= @t358 tptp.zero_zero_nat)) % 0.45/0.79 (define @t360 () (@list @t358)) % 0.45/0.79 (define @t361 () (_ tptp.ord_less_eq_a @t33)) % 0.45/0.79 (define @t362 () (_ tptp.ord_less_eq_nat @t28)) % 0.45/0.79 (define @t363 () (@var "Va" tptp.list_a)) % 0.45/0.79 (define @t364 () (@var "V" tptp.a)) % 0.45/0.79 (define @t365 () (@var "Va" tptp.list_nat)) % 0.45/0.79 (define @t366 () (@var "V" tptp.nat)) % 0.45/0.79 (define @t367 () (@var "X3" tptp.a)) % 0.45/0.79 (define @t368 () (@var "T" tptp.a)) % 0.45/0.79 (define @t369 () (@var "Z" tptp.a)) % 0.45/0.79 (define @t370 () (_ (_ tptp.ord_less_a @t367) @t369)) % 0.45/0.79 (define @t371 () (@list @t367)) % 0.45/0.79 (define @t372 () (@list @t369)) % 0.45/0.79 (define @t373 () (@list @t368)) % 0.45/0.79 (define @t374 () (@var "X3" tptp.nat)) % 0.45/0.79 (define @t375 () (@var "T" tptp.nat)) % 0.45/0.79 (define @t376 () (@var "Z" tptp.nat)) % 0.45/0.79 (define @t377 () (_ (_ tptp.ord_less_nat @t374) @t376)) % 0.45/0.79 (define @t378 () (@list @t374)) % 0.45/0.79 (define @t379 () (@list @t376)) % 0.45/0.79 (define @t380 () (@list @t375)) % 0.45/0.79 (define @t381 () (@var "C" tptp.int)) % 0.45/0.79 (define @t382 () (@var "B" tptp.int)) % 0.45/0.79 (define @t383 () (= @t382 @t381)) % 0.45/0.79 (define @t384 () (@var "A" tptp.int)) % 0.45/0.79 (define @t385 () (_ tptp.plus_plus_int @t384)) % 0.45/0.79 (define @t386 () (_ @t385 @t381)) % 0.45/0.79 (define @t387 () (_ @t385 @t382)) % 0.45/0.79 (define @t388 () (= @t387 @t386)) % 0.45/0.79 (define @t389 () (@list @t384 @t382 @t381)) % 0.45/0.79 (define @t390 () (_ tptp.plus_plus_int @t381)) % 0.45/0.79 (define @t391 () (_ @t390 @t384)) % 0.45/0.79 (define @t392 () (_ tptp.plus_plus_int @t382)) % 0.45/0.79 (define @t393 () (_ @t392 @t384)) % 0.45/0.79 (define @t394 () (= @t393 @t391)) % 0.45/0.79 (define @t395 () (@list @t382 @t384 @t381)) % 0.45/0.79 (define @t396 () (@list @t384)) % 0.45/0.79 (define @t397 () (@var "A" tptp.a)) % 0.45/0.79 (define @t398 () (@list @t397)) % 0.45/0.79 (define @t399 () (_ tptp.plus_plus_a @t397)) % 0.45/0.79 (define @t400 () (_ tptp.plus_plus_nat @t358)) % 0.45/0.79 (define @t401 () (= @t384 tptp.zero_zero_int)) % 0.45/0.79 (define @t402 () (_ @t385 @t384)) % 0.45/0.79 (define @t403 () (= @t397 tptp.zero_zero_a)) % 0.45/0.79 (define @t404 () (_ @t399 @t397)) % 0.45/0.79 (define @t405 () (= @t382 tptp.zero_zero_int)) % 0.45/0.79 (define @t406 () (@list @t382 @t384)) % 0.45/0.79 (define @t407 () (@var "B" tptp.a)) % 0.45/0.79 (define @t408 () (= @t407 tptp.zero_zero_a)) % 0.45/0.79 (define @t409 () (_ tptp.plus_plus_a @t407)) % 0.45/0.79 (define @t410 () (_ @t409 @t397)) % 0.45/0.79 (define @t411 () (@list @t407 @t397)) % 0.45/0.79 (define @t412 () (@var "B" tptp.nat)) % 0.45/0.79 (define @t413 () (= @t412 tptp.zero_zero_nat)) % 0.45/0.79 (define @t414 () (_ tptp.plus_plus_nat @t412)) % 0.45/0.79 (define @t415 () (_ @t414 @t358)) % 0.45/0.79 (define @t416 () (@list @t412 @t358)) % 0.45/0.79 (define @t417 () (@list @t384 @t382)) % 0.45/0.79 (define @t418 () (_ @t399 @t407)) % 0.45/0.79 (define @t419 () (@list @t397 @t407)) % 0.45/0.79 (define @t420 () (_ @t400 @t412)) % 0.45/0.79 (define @t421 () (@list @t358 @t412)) % 0.45/0.79 (define @t422 () (and @t347 (= @t89 tptp.zero_zero_nat))) % 0.45/0.79 (define @t423 () (_ (_ tptp.plus_plus_nat @t28) @t89)) % 0.45/0.79 (define @t424 () (= (= @t423 tptp.zero_zero_nat) @t422)) % 0.45/0.79 (define @t425 () (@list @t28 @t89)) % 0.45/0.79 (define @t426 () (_ tptp.ord_less_eq_int @t384)) % 0.45/0.79 (define @t427 () (_ @t426 @t382)) % 0.45/0.79 (define @t428 () (_ @t392 @t381)) % 0.45/0.79 (define @t429 () (_ tptp.ord_less_eq_int @t386)) % 0.45/0.79 (define @t430 () (_ @t429 @t428)) % 0.45/0.79 (define @t431 () (@list @t384 @t381 @t382)) % 0.45/0.79 (define @t432 () (_ tptp.ord_less_eq_a @t397)) % 0.45/0.79 (define @t433 () (_ @t432 @t407)) % 0.45/0.79 (define @t434 () (@var "C" tptp.a)) % 0.45/0.79 (define @t435 () (_ tptp.ord_less_eq_a (_ @t399 @t434))) % 0.45/0.79 (define @t436 () (_ @t435 (_ @t409 @t434))) % 0.45/0.79 (define @t437 () (@list @t397 @t434 @t407)) % 0.45/0.79 (define @t438 () (_ tptp.ord_less_eq_nat @t358)) % 0.45/0.79 (define @t439 () (_ @t438 @t412)) % 0.45/0.79 (define @t440 () (@var "C" tptp.nat)) % 0.45/0.79 (define @t441 () (_ @t414 @t440)) % 0.45/0.79 (define @t442 () (_ @t400 @t440)) % 0.45/0.79 (define @t443 () (_ tptp.ord_less_eq_nat @t442)) % 0.45/0.79 (define @t444 () (_ @t443 @t441)) % 0.45/0.79 (define @t445 () (@list @t358 @t440 @t412)) % 0.45/0.79 (define @t446 () (_ @t390 @t382)) % 0.45/0.79 (define @t447 () (_ (_ tptp.ord_less_eq_int @t391) @t446)) % 0.45/0.79 (define @t448 () (@list @t381 @t384 @t382)) % 0.45/0.79 (define @t449 () (_ tptp.plus_plus_a @t434)) % 0.45/0.79 (define @t450 () (_ (_ tptp.ord_less_eq_a (_ @t449 @t397)) (_ @t449 @t407))) % 0.45/0.79 (define @t451 () (@list @t434 @t397 @t407)) % 0.45/0.79 (define @t452 () (_ tptp.plus_plus_nat @t440)) % 0.45/0.79 (define @t453 () (_ @t452 @t412)) % 0.45/0.79 (define @t454 () (_ @t452 @t358)) % 0.45/0.79 (define @t455 () (_ (_ tptp.ord_less_eq_nat @t454) @t453)) % 0.45/0.79 (define @t456 () (@list @t440 @t358 @t412)) % 0.45/0.79 (define @t457 () (_ tptp.ord_less_int @t384)) % 0.45/0.79 (define @t458 () (_ @t457 @t382)) % 0.45/0.79 (define @t459 () (_ tptp.ord_less_int @t386)) % 0.45/0.79 (define @t460 () (_ @t459 @t428)) % 0.45/0.79 (define @t461 () (_ tptp.ord_less_nat @t358)) % 0.45/0.79 (define @t462 () (_ @t461 @t412)) % 0.45/0.79 (define @t463 () (_ tptp.ord_less_nat @t442)) % 0.45/0.79 (define @t464 () (_ @t463 @t441)) % 0.45/0.79 (define @t465 () (_ (_ tptp.ord_less_int @t391) @t446)) % 0.45/0.79 (define @t466 () (_ (_ tptp.ord_less_nat @t454) @t453)) % 0.45/0.79 (define @t467 () (@var "Vs" tptp.list_nat)) % 0.45/0.79 (define @t468 () (_ tptp.size_size_list_nat @t54)) % 0.45/0.79 (define @t469 () (_ tptp.size_size_list_nat @t3)) % 0.45/0.79 (define @t470 () (@var "Vs" tptp.list_a)) % 0.45/0.79 (define @t471 () (_ tptp.size_size_list_a @t47)) % 0.45/0.79 (define @t472 () (_ tptp.size_size_list_a @t7)) % 0.45/0.79 (define @t473 () (= @t472 @t471)) % 0.45/0.79 (define @t474 () (_ tptp.ord_less_eq_nat @t472)) % 0.45/0.79 (define @t475 () (_ @t474 @t15)) % 0.45/0.79 (define @t476 () (= @t111 @t7)) % 0.45/0.79 (define @t477 () (_ tptp.ord_less_eq_int tptp.zero_zero_int)) % 0.45/0.79 (define @t478 () (_ @t426 tptp.zero_zero_int)) % 0.45/0.79 (define @t479 () (_ @t432 tptp.zero_zero_a)) % 0.45/0.79 (define @t480 () (_ @t477 @t382)) % 0.45/0.79 (define @t481 () (_ @t64 @t407)) % 0.45/0.79 (define @t482 () (_ @t168 @t412)) % 0.45/0.79 (define @t483 () (_ @t438 tptp.zero_zero_nat)) % 0.45/0.79 (define @t484 () (_ tptp.ord_less_int tptp.zero_zero_int)) % 0.45/0.79 (define @t485 () (_ tptp.ord_less_a tptp.zero_zero_a)) % 0.45/0.79 (define @t486 () (_ @t457 tptp.zero_zero_int)) % 0.45/0.79 (define @t487 () (_ tptp.ord_less_a @t397)) % 0.45/0.79 (define @t488 () (_ @t487 tptp.zero_zero_a)) % 0.45/0.79 (define @t489 () (_ @t484 @t382)) % 0.45/0.79 (define @t490 () (_ @t485 @t407)) % 0.45/0.79 (define @t491 () (_ @t93 @t412)) % 0.45/0.79 (define @t492 () (_ @t461 tptp.zero_zero_nat)) % 0.45/0.79 (define @t493 () (_ @t31 @t54)) % 0.45/0.79 (define @t494 () (_ @t36 @t47)) % 0.45/0.79 (define @t495 () (_ @t385 @t428)) % 0.45/0.79 (define @t496 () (@var "L" tptp.int)) % 0.45/0.79 (define @t497 () (@var "J" tptp.int)) % 0.45/0.79 (define @t498 () (_ (_ tptp.plus_plus_int @t497) @t496)) % 0.45/0.79 (define @t499 () (@var "K" tptp.int)) % 0.45/0.79 (define @t500 () (@var "I" tptp.int)) % 0.45/0.79 (define @t501 () (_ (_ tptp.plus_plus_int @t500) @t499)) % 0.45/0.79 (define @t502 () (= @t499 @t496)) % 0.45/0.79 (define @t503 () (= @t500 @t497)) % 0.45/0.79 (define @t504 () (@list @t500 @t497 @t499 @t496)) % 0.45/0.79 (define @t505 () (_ tptp.size_size_list_a @t147)) % 0.45/0.79 (define @t506 () (_ tptp.plus_plus_int @t499)) % 0.45/0.79 (define @t507 () (_ @t506 @t387)) % 0.45/0.79 (define @t508 () (@var "A4" tptp.int)) % 0.45/0.79 (define @t509 () (@var "B2" tptp.int)) % 0.45/0.79 (define @t510 () (@var "A5" tptp.int)) % 0.45/0.79 (define @t511 () (@var "B3" tptp.int)) % 0.45/0.79 (define @t512 () (@var "J" tptp.nat)) % 0.45/0.79 (define @t513 () (@var "F2" (-> tptp.nat tptp.nat))) % 0.45/0.79 (define @t514 () (_ (_ tptp.ord_less_eq_nat @t121) @t512)) % 0.45/0.79 (define @t515 () (@var "J2" tptp.nat)) % 0.45/0.79 (define @t516 () (_ tptp.ord_less_nat @t143)) % 0.45/0.79 (define @t517 () (_ (_ tptp.ord_less_eq_nat @t86) @t15)) % 0.45/0.79 (define @t518 () (@var "K2" tptp.nat)) % 0.45/0.79 (define @t519 () (@var "P" (-> tptp.nat Bool))) % 0.45/0.79 (define @t520 () (@var "I3" tptp.nat)) % 0.45/0.79 (define @t521 () (@var "N2" tptp.nat)) % 0.45/0.79 (define @t522 () (@var "M2" tptp.nat)) % 0.45/0.79 (define @t523 () (= @t522 @t521)) % 0.45/0.79 (define @t524 () (@list @t522 @t521)) % 0.45/0.79 (define @t525 () (@var "C2" tptp.nat)) % 0.45/0.79 (define @t526 () (@var "A5" tptp.nat)) % 0.45/0.79 (define @t527 () (@var "B3" tptp.nat)) % 0.45/0.79 (define @t528 () (@list @t397 @t407 @t434)) % 0.45/0.79 (define @t529 () (@list @t358 @t412 @t440)) % 0.45/0.79 (define @t530 () (@var "C3" tptp.nat)) % 0.45/0.79 (define @t531 () (@var "D" tptp.int)) % 0.45/0.79 (define @t532 () (_ @t392 @t531)) % 0.45/0.79 (define @t533 () (@list @t384 @t382 @t381 @t531)) % 0.45/0.79 (define @t534 () (@var "D" tptp.a)) % 0.45/0.79 (define @t535 () (@var "D" tptp.nat)) % 0.45/0.79 (define @t536 () (_ @t414 @t535)) % 0.45/0.79 (define @t537 () (@list @t358 @t412 @t440 @t535)) % 0.45/0.79 (define @t538 () (_ (_ tptp.ord_less_eq_int @t501) @t498)) % 0.45/0.79 (define @t539 () (_ (_ tptp.ord_less_eq_int @t499) @t496)) % 0.45/0.79 (define @t540 () (_ (_ tptp.ord_less_eq_int @t500) @t497)) % 0.45/0.79 (define @t541 () (@var "L" tptp.a)) % 0.45/0.79 (define @t542 () (@var "J" tptp.a)) % 0.45/0.79 (define @t543 () (@var "K" tptp.a)) % 0.45/0.79 (define @t544 () (@var "I" tptp.a)) % 0.45/0.79 (define @t545 () (_ (_ tptp.ord_less_eq_a (_ (_ tptp.plus_plus_a @t544) @t543)) (_ (_ tptp.plus_plus_a @t542) @t541))) % 0.45/0.79 (define @t546 () (_ (_ tptp.ord_less_eq_a @t543) @t541)) % 0.45/0.79 (define @t547 () (_ (_ tptp.ord_less_eq_a @t544) @t542)) % 0.45/0.79 (define @t548 () (@list @t544 @t542 @t543 @t541)) % 0.45/0.79 (define @t549 () (@var "L" tptp.nat)) % 0.45/0.79 (define @t550 () (_ (_ tptp.plus_plus_nat @t512) @t549)) % 0.45/0.79 (define @t551 () (_ (_ tptp.plus_plus_nat @t121) @t75)) % 0.45/0.79 (define @t552 () (_ (_ tptp.ord_less_eq_nat @t551) @t550)) % 0.45/0.79 (define @t553 () (_ tptp.ord_less_eq_nat @t75)) % 0.45/0.79 (define @t554 () (_ @t553 @t549)) % 0.45/0.79 (define @t555 () (@list @t121 @t512 @t75 @t549)) % 0.45/0.79 (define @t556 () (= @t121 @t512)) % 0.45/0.79 (define @t557 () (= @t75 @t549)) % 0.45/0.79 (define @t558 () (_ (_ tptp.ord_less_int @t501) @t498)) % 0.45/0.79 (define @t559 () (_ (_ tptp.ord_less_int @t500) @t497)) % 0.45/0.79 (define @t560 () (_ (_ tptp.ord_less_nat @t551) @t550)) % 0.45/0.79 (define @t561 () (_ @t123 @t512)) % 0.45/0.79 (define @t562 () (_ (_ tptp.ord_less_int @t499) @t496)) % 0.45/0.79 (define @t563 () (_ (_ tptp.ord_less_nat @t75) @t549)) % 0.45/0.79 (define @t564 () (@var "Ys6" tptp.list_a)) % 0.45/0.79 (define @t565 () (_ tptp.take_a @t75)) % 0.45/0.79 (define @t566 () (@var "Y" tptp.int)) % 0.45/0.79 (define @t567 () (@var "X" tptp.int)) % 0.45/0.79 (define @t568 () (= (= (_ (_ tptp.plus_plus_int @t567) @t566) tptp.zero_zero_int) (and (= @t567 tptp.zero_zero_int) (= @t566 tptp.zero_zero_int)))) % 0.45/0.79 (define @t569 () (@list @t567 @t566)) % 0.45/0.79 (define @t570 () (= (= (_ (_ tptp.plus_plus_a @t33) @t84) tptp.zero_zero_a) (and @t346 (= @t84 tptp.zero_zero_a)))) % 0.45/0.79 (define @t571 () (@list @t33 @t84)) % 0.45/0.79 (define @t572 () (_ tptp.descar1375166517sums_a @t13)) % 0.45/0.79 (define @t573 () (_ tptp.append_a @t11)) % 0.45/0.79 (define @t574 () (_ @t573 @t572)) % 0.45/0.79 (define @t575 () (_ tptp.descar1375166517sums_a tptp.xsa)) % 0.45/0.79 (define @t576 () (= @t575 @t574)) % 0.45/0.79 (define @t577 () (not @t576)) % 0.45/0.79 (define @t578 () (lambda @t524 (or (_ (_ tptp.ord_less_nat @t522) @t521) @t523))) % 0.45/0.79 (define @t579 () (tptp.descar1375166517sums_a @t7)) % 0.45/0.79 (define @t580 () (tptp.replicate_a @t15 tptp.zero_zero_a)) % 0.45/0.79 (define @t581 () (tptp.append_a @t580 @t579)) % 0.45/0.79 (define @t582 () (_ tptp.append_a @t580)) % 0.45/0.79 (define @t583 () (tptp.append_a @t580 @t7)) % 0.45/0.79 (define @t584 () (tptp.descar1375166517sums_a @t583)) % 0.45/0.79 (define @t585 () (tptp.descar1375166517sums_a tptp.xsa)) % 0.45/0.79 (define @t586 () (tptp.nth_a tptp.xsa tptp.p)) % 0.45/0.79 (define @t587 () (tptp.cons_a @t586 tptp.xs2)) % 0.45/0.79 (define @t588 () (tptp.descar1375166517sums_a @t587)) % 0.45/0.79 (define @t589 () (tptp.replicate_a tptp.p tptp.zero_zero_a)) % 0.45/0.79 (define @t590 () (tptp.append_a @t589 @t588)) % 0.45/0.79 (define @t591 () (_ tptp.append_a @t589)) % 0.45/0.79 (define @t592 () (tptp.append_a @t589 @t587)) % 0.45/0.79 (define @t593 () (_ @t573 @t13)) % 0.45/0.79 (define @t594 () (tptp.descar1375166517sums_a @t592)) % 0.45/0.79 (define @t595 () (= @t590 @t594)) % 0.45/0.79 (define @t596 () (forall @t25 (= @t584 @t581))) % 0.45/0.79 (define @t597 () (= @t594 @t590)) % 0.45/0.79 (assume @p1 (not (= tptp.xsa tptp.nil_a))) % 0.45/0.79 (assume @p2 (not (= @t2 tptp.zero_zero_a))) % 0.45/0.79 (assume @p3 (not (= (_ tptp.last_a tptp.xsa) tptp.zero_zero_a))) % 0.45/0.79 (assume @p4 (forall @t6 (= (_ tptp.descar226543321ms_nat (_ @t5 @t3)) (_ @t5 @t4)))) % 0.45/0.79 (assume @p5 (forall @t10 (= (_ tptp.descar1375166517sums_a (_ @t9 @t7)) (_ @t9 @t8)))) % 0.45/0.79 (assume @p6 (= tptp.xs1 @t11)) % 0.45/0.79 (assume @p7 @t14) % 0.45/0.79 (assume @p8 (forall (@list @t15 @t3) (= (_ tptp.descar226543321ms_nat (_ @t17 @t3)) (_ @t17 @t4)))) % 0.45/0.79 (assume @p9 @t26) % 0.45/0.79 (assume @p10 (forall (@list @t27) (=> (_ (_ tptp.ord_less_nat @t27) tptp.p) (= (_ @t1 @t27) tptp.zero_zero_a)))) % 0.45/0.79 (assume @p11 (= (_ (_ tptp.take_a tptp.p) tptp.xsa) @t11)) % 0.45/0.79 (assume @p12 (forall (@list @t15 @t28 @t3) (= (_ @t30 @t32) (_ @t31 (_ @t30 @t3))))) % 0.45/0.79 (assume @p13 (forall (@list @t15 @t33 @t7) (= (_ @t35 @t37) (_ @t36 (_ @t35 @t7))))) % 0.45/0.79 (assume @p14 (forall (@list @t40 @t39 @t38) (= (_ (_ tptp.append_a (_ @t41 @t39)) @t38) (_ @t41 (_ (_ tptp.append_a @t39) @t38))))) % 0.45/0.79 (assume @p15 (forall (@list @t44 @t43 @t42) (= (_ (_ tptp.append_nat (_ @t45 @t43)) @t42) (_ @t45 (_ (_ tptp.append_nat @t43) @t42))))) % 0.45/0.79 (assume @p16 (forall @t52 (= (_ (_ tptp.append_a @t51) @t46) (_ @t50 @t49)))) % 0.45/0.79 (assume @p17 (forall @t59 (= (_ (_ tptp.append_nat @t58) @t53) (_ @t57 @t56)))) % 0.45/0.79 (assume @p18 (forall (@list @t47 @t7 @t46) (= (= (_ @t48 @t7) (_ @t61 @t7)) @t60))) % 0.45/0.79 (assume @p19 (forall (@list @t54 @t3 @t53) (= (= (_ @t55 @t3) (_ @t63 @t3)) @t62))) % 0.45/0.79 (assume @p20 (forall @t52 (= (= @t51 (_ @t50 @t46)) @t60))) % 0.45/0.79 (assume @p21 (forall @t59 (= (= @t58 (_ @t57 @t53)) @t62))) % 0.45/0.79 (assume @p22 (_ @t64 tptp.xa)) % 0.45/0.79 (assume @p23 (forall (@list @t68 @t66 @t67 @t65) (= (= @t69 (_ (_ tptp.cons_a @t67) @t65)) (and (= @t68 @t67) (= @t66 @t65))))) % 0.45/0.79 (assume @p24 (forall (@list @t73 @t71 @t72 @t70) (= (= @t74 (_ (_ tptp.cons_nat @t72) @t70)) (and (= @t73 @t72) (= @t71 @t70))))) % 0.45/0.79 (assume @p25 (forall (@list @t15 @t33 @t75) (= (_ @t35 @t76) (_ (_ tptp.append_a @t76) @t34)))) % 0.45/0.79 (assume @p26 (forall (@list @t15 @t28 @t75) (= (_ @t30 @t77) (_ (_ tptp.append_nat @t77) @t29)))) % 0.45/0.79 (assume @p27 (forall (@list @t33 @t79 @t47 @t7 @t46) (=> (= (_ @t36 @t79) @t47) (=> (= @t7 (_ @t80 @t46)) @t78)))) % 0.45/0.79 (assume @p28 (forall (@list @t28 @t82 @t54 @t3 @t53) (=> (= (_ @t31 @t82) @t54) (=> (= @t3 (_ @t83 @t53)) @t81)))) % 0.45/0.79 (assume @p29 (not (= tptp.xs tptp.nil_a))) % 0.45/0.79 (assume @p30 (not (= (_ tptp.last_a tptp.xs) tptp.zero_zero_a))) % 0.45/0.79 (assume @p31 (forall (@list @t86 @t33 @t15 @t84) (= (= (_ (_ tptp.replicate_a @t86) @t33) (_ @t18 @t84)) (and @t88 (=> @t87 @t85))))) % 0.45/0.79 (assume @p32 (forall (@list @t86 @t28 @t15 @t89) (= (= (_ (_ tptp.replicate_nat @t86) @t28) (_ @t16 @t89)) (and @t88 (=> @t87 @t90))))) % 0.45/0.79 (assume @p33 (forall @t92 (= (_ (_ tptp.ord_less_eq_nat @t15) tptp.zero_zero_nat) @t91))) % 0.45/0.79 (assume @p34 (forall @t92 (= (not @t94) @t91))) % 0.45/0.79 (assume @p35 (forall @t95 (= (_ @t45 tptp.nil_nat) @t44))) % 0.45/0.79 (assume @p36 (forall @t96 (= (_ @t41 tptp.nil_a) @t40))) % 0.45/0.79 (assume @p37 (forall @t100 (= (= @t58 tptp.nil_nat) @t99))) % 0.45/0.79 (assume @p38 (forall @t104 (= (= @t51 tptp.nil_a) @t103))) % 0.45/0.79 (assume @p39 (forall @t100 (= (= tptp.nil_nat @t58) @t99))) % 0.45/0.79 (assume @p40 (forall @t104 (= (= tptp.nil_a @t51) @t103))) % 0.45/0.79 (assume @p41 (forall @t105 (= (= @t54 @t58) @t98))) % 0.45/0.79 (assume @p42 (forall @t106 (= (= @t47 @t51) @t102))) % 0.45/0.79 (assume @p43 (forall @t100 (= (= @t58 @t54) @t98))) % 0.45/0.79 (assume @p44 (forall @t104 (= (= @t51 @t47) @t102))) % 0.45/0.79 (assume @p45 (forall @t100 (= (= @t3 @t58) @t97))) % 0.45/0.79 (assume @p46 (forall @t104 (= (= @t7 @t51) @t101))) % 0.45/0.79 (assume @p47 (forall @t100 (= (= @t58 @t3) @t97))) % 0.45/0.79 (assume @p48 (forall @t104 (= (= @t51 @t7) @t101))) % 0.45/0.79 (assume @p49 (forall @t6 (= (_ @t57 tptp.nil_nat) @t3))) % 0.45/0.79 (assume @p50 (forall @t10 (= (_ @t50 tptp.nil_a) @t7))) % 0.45/0.79 (assume @p51 (forall @t107 (= (_ (_ tptp.nth_a @t37) tptp.zero_zero_nat) @t33))) % 0.45/0.79 (assume @p52 (forall @t108 (= (_ (_ tptp.nth_nat @t32) tptp.zero_zero_nat) @t28))) % 0.45/0.79 (assume @p53 (= @t109 (lambda (@list (@var "Xs2" tptp.list_a)) tptp.nil_a))) % 0.45/0.79 (assume @p54 (forall @t25 (= (= @t111 tptp.nil_a) (or @t91 @t102)))) % 0.45/0.79 (assume @p55 (forall @t112 (= (= tptp.nil_a @t34) @t91))) % 0.45/0.79 (assume @p56 (forall @t113 (= (= tptp.nil_nat @t29) @t91))) % 0.45/0.79 (assume @p57 (forall @t112 (= (= @t34 tptp.nil_a) @t91))) % 0.45/0.79 (assume @p58 (forall @t113 (= (= @t29 tptp.nil_nat) @t91))) % 0.45/0.79 (assume @p59 (forall @t112 (=> @t114 (= (_ tptp.last_a @t34) @t33)))) % 0.45/0.79 (assume @p60 (forall @t113 (=> @t114 (= (_ tptp.last_nat @t29) @t28)))) % 0.45/0.79 (assume @p61 (forall (@list @t7 @t33 @t47 @t84) (= (= @t117 (_ @t48 (_ (_ tptp.cons_a @t84) tptp.nil_a))) (and @t115 @t85)))) % 0.45/0.79 (assume @p62 (forall (@list @t3 @t28 @t54 @t89) (= (= @t120 (_ @t55 (_ (_ tptp.cons_nat @t89) tptp.nil_nat))) (and @t118 @t90)))) % 0.45/0.79 (assume @p63 (forall (@list @t121 @t15 @t7) (=> @t124 (= (_ (_ tptp.nth_a @t111) @t121) (_ @t122 @t121))))) % 0.45/0.79 (assume @p64 (forall @t105 @t127)) % 0.45/0.79 (assume @p65 (forall @t106 @t130)) % 0.45/0.79 (assume @p66 (forall @t105 @t131)) % 0.45/0.79 (assume @p67 (forall @t106 @t132)) % 0.45/0.79 (assume @p68 (forall (@list @t121 @t15 @t33) (=> @t124 (= (_ (_ tptp.nth_a @t34) @t121) @t33)))) % 0.45/0.79 (assume @p69 (forall (@list @t121 @t15 @t28) (=> @t124 (= (_ (_ tptp.nth_nat @t29) @t121) @t28)))) % 0.45/0.79 (assume @p70 (forall @t133 (= (_ tptp.last_a @t117) @t33))) % 0.45/0.79 (assume @p71 (forall @t134 (= (_ tptp.last_nat @t120) @t28))) % 0.45/0.79 (assume @p72 (forall @t10 (= (_ @t109 @t7) tptp.nil_a))) % 0.45/0.79 (assume @p73 (forall @t133 (and @t138 @t137))) % 0.45/0.79 (assume @p74 (forall @t134 (and @t142 @t141))) % 0.45/0.79 (assume @p75 (forall @t133 @t138)) % 0.45/0.79 (assume @p76 (forall @t134 @t142)) % 0.45/0.79 (assume @p77 (forall @t133 @t137)) % 0.45/0.79 (assume @p78 (forall @t134 @t141)) % 0.45/0.79 (assume @p79 (forall @t105 (and @t127 @t131))) % 0.45/0.79 (assume @p80 (forall @t106 (and @t130 @t132))) % 0.45/0.79 (assume @p81 (forall @t92 (= (_ @t110 tptp.nil_a) tptp.nil_a))) % 0.45/0.79 (assume @p82 (forall @t104 (=> (forall @t145 (= (_ @t144 @t7) (_ @t144 @t47))) @t115))) % 0.45/0.79 (assume @p83 (forall (@list @t151) (=> (not (= @t151 tptp.nil_list_a)) (=> (forall (@list @t146) (not (= @t151 (_ (_ tptp.cons_list_a tptp.nil_a) @t146)))) (not (forall (@list @t148 @t147 @t146) (not (= @t151 (_ (_ tptp.cons_list_a @t150) @t146))))))))) % 0.45/0.79 (assume @p84 (forall (@list @t157) (=> (not (= @t157 tptp.nil_list_nat)) (=> (forall (@list @t152) (not (= @t157 (_ (_ tptp.cons_list_nat tptp.nil_nat) @t152)))) (not (forall (@list @t154 @t153 @t152) (not (= @t157 (_ (_ tptp.cons_list_nat @t156) @t152))))))))) % 0.45/0.79 (assume @p85 (forall @t100 (exists (@list @t160 @t159 @t158) (and (= @t3 (_ (_ tptp.append_nat @t159) @t160)) (= @t54 (_ (_ tptp.append_nat @t158) @t160)) (or (= @t159 tptp.nil_nat) (= @t158 tptp.nil_nat) (not (= (_ tptp.last_nat @t159) (_ tptp.last_nat @t158)))))))) % 0.45/0.79 (assume @p86 (forall @t104 (exists (@list @t163 @t162 @t161) (and (= @t7 (_ (_ tptp.append_a @t162) @t163)) (= @t47 (_ (_ tptp.append_a @t161) @t163)) (or (= @t162 tptp.nil_a) (= @t161 tptp.nil_a) (not (= (_ tptp.last_a @t162) (_ tptp.last_a @t161)))))))) % 0.45/0.79 (assume @p87 (forall @t164 (= (_ (_ tptp.replicate_a tptp.zero_zero_nat) @t33) tptp.nil_a))) % 0.45/0.79 (assume @p88 (forall @t165 (= (_ (_ tptp.replicate_nat tptp.zero_zero_nat) @t28) tptp.nil_nat))) % 0.45/0.79 (assume @p89 (forall @t92 (= @t94 @t114))) % 0.45/0.79 (assume @p90 (forall @t167 (=> @t166 @t114))) % 0.45/0.79 (assume @p91 (forall @t92 (not (_ (_ tptp.ord_less_nat @t15) tptp.zero_zero_nat)))) % 0.45/0.79 (assume @p92 (forall @t92 (=> @t114 @t94))) % 0.45/0.79 (assume @p93 (forall @t165 @t169)) % 0.45/0.79 (assume @p94 (forall @t177 (=> @t176 (=> (forall @t175 (=> (_ @t171 @t173) (_ @t171 @t174))) @t172)))) % 0.45/0.79 (assume @p95 (forall @t185 (=> @t184 (=> (forall @t183 (=> (_ @t179 @t181) (_ @t179 @t182))) @t180)))) % 0.45/0.79 (assume @p96 (forall @t189 (=> @t188 (not (forall @t175 (not (= @t186 @t174))))))) % 0.45/0.79 (assume @p97 (forall @t193 (=> @t192 (not (forall @t183 (not (= @t190 @t182))))))) % 0.45/0.79 (assume @p98 (forall (@list @t197 @t196 @t195 @t194) (=> (forall (@list @t202 @t204) (_ (_ @t203 tptp.nil_a) @t204)) (=> (forall (@list @t202 @t200 @t199 @t198) (=> (_ (_ @t203 @t199) (_ (_ tptp.cons_a (_ @t202 @t200)) @t198)) (_ (_ @t203 @t201) @t198))) (_ (_ (_ @t197 @t196) @t195) @t194))))) % 0.45/0.79 (assume @p99 (forall (@list @t207 @t206 @t205 @t194) (=> (forall (@list @t211 @t204) (_ (_ @t212 tptp.nil_nat) @t204)) (=> (forall (@list @t211 @t209 @t208 @t198) (=> (_ (_ @t212 @t208) (_ (_ tptp.cons_a (_ @t211 @t209)) @t198)) (_ (_ @t212 @t210) @t198))) (_ (_ (_ @t207 @t206) @t205) @t194))))) % 0.45/0.79 (assume @p100 (forall (@list @t215 @t214 @t195 @t213) (=> (forall (@list @t217 @t219) (_ (_ @t218 tptp.nil_a) @t219)) (=> (forall (@list @t217 @t200 @t199 @t216) (=> (_ (_ @t218 @t199) (_ (_ tptp.cons_nat (_ @t217 @t200)) @t216)) (_ (_ @t218 @t201) @t216))) (_ (_ (_ @t215 @t214) @t195) @t213))))) % 0.45/0.79 (assume @p101 (forall (@list @t221 @t220 @t205 @t213) (=> (forall (@list @t222 @t219) (_ (_ @t223 tptp.nil_nat) @t219)) (=> (forall (@list @t222 @t209 @t208 @t216) (=> (_ (_ @t223 @t208) (_ (_ tptp.cons_nat (_ @t222 @t209)) @t216)) (_ (_ @t223 @t210) @t216))) (_ (_ (_ @t221 @t220) @t205) @t213))))) % 0.45/0.79 (assume @p102 (forall @t232 (=> @t136 (=> @t231 (=> (forall @t228 (=> @t227 (=> @t226 @t225))) @t224))))) % 0.45/0.79 (assume @p103 (forall @t241 (=> @t140 (=> @t240 (=> (forall @t237 (=> @t236 (=> @t235 @t234))) @t233))))) % 0.45/0.79 (assume @p104 (forall @t252 (=> @t251 (=> (forall (@list @t249 @t148) (_ @t250 @t229)) (=> (forall (@list @t249 @t148 @t245 @t147) (=> (_ @t250 @t247) (_ @t250 @t248))) @t244))))) % 0.45/0.79 (assume @p105 (forall @t263 (=> @t262 (=> (forall (@list @t260 @t154) (_ @t261 @t238)) (=> (forall (@list @t260 @t154 @t256 @t153) (=> (_ @t261 @t258) (_ @t261 @t259))) @t255))))) % 0.45/0.79 (assume @p106 (forall @t177 (=> @t176 (=> @t231 (=> (forall @t265 (=> (=> @t264 @t225) (=> (=> (not @t264) (_ @t171 @t247)) (_ @t171 @t248)))) @t172))))) % 0.45/0.79 (assume @p107 (forall @t185 (=> @t184 (=> @t240 (=> (forall @t267 (=> (=> @t266 @t234) (=> (=> (not @t266) (_ @t179 @t258)) (_ @t179 @t259)))) @t180))))) % 0.45/0.79 (assume @p108 (forall @t252 (=> @t251 (=> (forall (@list @t249 @t148 @t173) (=> (_ @t250 @t173) (_ @t250 @t174))) @t244)))) % 0.45/0.79 (assume @p109 (forall @t263 (=> @t262 (=> (forall (@list @t260 @t154 @t181) (=> (_ @t261 @t181) (_ @t261 @t182))) @t255)))) % 0.45/0.79 (assume @p110 (forall @t189 (=> @t188 (=> (forall @t230 (not (= @t186 @t229))) (not (forall @t265 (not (= @t186 @t248)))))))) % 0.45/0.79 (assume @p111 (forall @t193 (=> @t192 (=> (forall @t239 (not (= @t190 @t238))) (not (forall @t267 (not (= @t190 @t259)))))))) % 0.45/0.79 (assume @p112 (forall @t280 (=> @t279 (=> @t277 (=> (forall @t275 (=> (_ @t274 @t270) (=> @t273 @t272))) @t269))))) % 0.45/0.79 (assume @p113 (forall @t292 (=> @t291 (=> @t289 (=> (forall @t288 (=> (_ @t287 @t283) (=> @t286 @t285))) @t282))))) % 0.45/0.79 (assume @p114 (forall @t177 (=> (forall @t228 (=> (forall (@list @t294 @t293) (=> (= @t147 (_ (_ tptp.cons_a @t294) @t293)) @t226)) @t225)) (=> @t176 @t172)))) % 0.45/0.79 (assume @p115 (forall @t185 (=> (forall @t237 (=> (forall (@list @t296 @t295) (=> (= @t153 (_ (_ tptp.cons_nat @t296) @t295)) @t235)) @t234)) (=> @t184 @t180)))) % 0.45/0.79 (assume @p116 (forall @t189 (=> (forall @t228 (not (= @t186 @t150))) @t187))) % 0.45/0.79 (assume @p117 (forall @t193 (=> (forall @t237 (not (= @t190 @t156))) @t191))) % 0.45/0.79 (assume @p118 (forall @t299 (=> @t176 (=> @t231 (=> (forall (@list @t148 @t245 @t297) (=> (_ @t171 @t297) (=> (_ @t171 @t298) (_ @t171 (_ @t149 @t298))))) @t224))))) % 0.45/0.79 (assume @p119 (forall @t302 (=> @t184 (=> @t240 (=> (forall (@list @t154 @t256 @t300) (=> (_ @t179 @t300) (=> (_ @t179 @t301) (_ @t179 (_ @t155 @t301))))) @t233))))) % 0.45/0.79 (assume @p120 (forall @t280 (=> @t279 (=> (forall (@list @t148 @t147 @t173) (=> (_ (_ @t268 @t173) @t147) @t273)) @t269)))) % 0.45/0.79 (assume @p121 (forall @t292 (=> @t291 (=> (forall (@list @t154 @t153 @t181) (=> (_ (_ @t281 @t181) @t153) @t286)) @t282)))) % 0.45/0.79 (assume @p122 (forall (@list @t268 @t7 @t47) (=> (_ @t278 tptp.nil_a) (=> (forall @t228 (_ @t271 tptp.nil_a)) (=> @t305 (=> @t303 (_ (_ @t268 @t7) @t47))))))) % 0.45/0.79 (assume @p123 (forall (@list @t306 @t7 @t54) (=> (_ @t308 tptp.nil_nat) (=> (forall @t228 (_ @t307 tptp.nil_nat)) (=> (forall @t309 (_ @t308 @t283)) (=> (forall (@list @t148 @t147 @t256 @t181) (=> (_ (_ @t306 @t147) @t181) (_ @t307 @t283))) (_ (_ @t306 @t7) @t54))))))) % 0.45/0.79 (assume @p124 (forall (@list @t310 @t3 @t47) (=> (_ @t312 tptp.nil_a) (=> (forall @t237 (_ @t311 tptp.nil_a)) (=> (forall @t304 (_ @t312 @t270)) (=> (forall (@list @t154 @t153 @t245 @t173) (=> (_ (_ @t310 @t153) @t173) (_ @t311 @t270))) (_ (_ @t310 @t3) @t47))))))) % 0.45/0.79 (assume @p125 (forall (@list @t281 @t3 @t54) (=> (_ @t290 tptp.nil_nat) (=> (forall @t237 (_ @t284 tptp.nil_nat)) (=> (forall @t309 (_ @t290 @t283)) (=> @t313 (_ (_ @t281 @t3) @t54))))))) % 0.45/0.79 (assume @p126 (forall @t10 (= @t136 (exists (@list @t315 @t314) (= @t7 (_ (_ tptp.cons_a @t315) @t314)))))) % 0.45/0.79 (assume @p127 (forall @t6 (= @t140 (exists (@list @t317 @t316) (= @t3 (_ (_ tptp.cons_nat @t317) @t316)))))) % 0.45/0.79 (assume @p128 (forall (@list @t171 @t318) (=> @t176 (=> (forall (@list @t320 @t319) (=> (_ @t171 @t319) (_ @t171 (_ (_ tptp.cons_a @t320) @t319)))) (_ @t171 @t318))))) % 0.45/0.79 (assume @p129 (forall (@list @t179 @t321) (=> @t184 (=> (forall (@list @t323 @t322) (=> (_ @t179 @t322) (_ @t179 (_ (_ tptp.cons_nat @t323) @t322)))) (_ @t179 @t321))))) % 0.45/0.79 (assume @p130 (forall (@list @t326) (=> (not (= @t326 tptp.nil_a)) (not (forall (@list @t325 @t324) (not (= @t326 (_ (_ tptp.cons_a @t325) @t324)))))))) % 0.45/0.79 (assume @p131 (forall (@list @t329) (=> (not (= @t329 tptp.nil_nat)) (not (forall (@list @t328 @t327) (not (= @t329 (_ (_ tptp.cons_nat @t328) @t327)))))))) % 0.45/0.79 (assume @p132 (forall (@list @t318 @t68 @t66) (=> (= @t318 @t69) (not (= @t318 tptp.nil_a))))) % 0.45/0.79 (assume @p133 (forall (@list @t321 @t73 @t71) (=> (= @t321 @t74) (not (= @t321 tptp.nil_nat))))) % 0.45/0.79 (assume @p134 (forall (@list @t68 @t66) (not (= tptp.nil_a @t69)))) % 0.45/0.79 (assume @p135 (forall (@list @t73 @t71) (not (= tptp.nil_nat @t74)))) % 0.45/0.79 (assume @p136 (forall @t95 (= (_ @t330 @t44) @t44))) % 0.45/0.79 (assume @p137 (forall @t96 (= (_ @t331 @t40) @t40))) % 0.45/0.79 (assume @p138 (forall (@list @t54) (= @t332 @t54))) % 0.45/0.79 (assume @p139 (forall (@list @t47) (= @t333 @t47))) % 0.45/0.79 (assume @p140 (forall @t100 (=> @t118 (= @t3 @t332)))) % 0.45/0.79 (assume @p141 (forall @t104 (=> @t115 (= @t7 @t333)))) % 0.45/0.79 (assume @p142 (forall @t232 (=> @t136 (=> @t231 (=> (forall @t228 (=> @t227 @t334)) @t224))))) % 0.45/0.79 (assume @p143 (forall @t241 (=> @t140 (=> @t240 (=> (forall @t237 (=> @t236 @t335)) @t233))))) % 0.45/0.79 (assume @p144 (forall (@list @t47 @t46 @t33 @t7) (= (= @t49 @t37) (or (and @t101 (= @t46 @t37)) (exists @t339 (and (= @t47 @t338) (= @t337 @t7))))))) % 0.45/0.79 (assume @p145 (forall (@list @t54 @t53 @t28 @t3) (= (= @t56 @t32) (or (and @t97 (= @t53 @t32)) (exists @t343 (and (= @t54 @t342) (= @t341 @t3))))))) % 0.45/0.79 (assume @p146 (forall (@list @t33 @t7 @t47 @t46) (= @t78 (or (and @t101 (= @t37 @t46)) (exists @t339 (and (= @t338 @t47) (= @t7 @t337))))))) % 0.45/0.79 (assume @p147 (forall (@list @t28 @t3 @t54 @t53) (= @t81 (or (and @t97 (= @t32 @t53)) (exists @t343 (and (= @t342 @t54) (= @t3 @t341))))))) % 0.45/0.79 (assume @p148 (forall @t10 (=> @t136 (not (forall (@list @t173 @t245) (not (= @t7 (_ (_ tptp.append_a @t173) (_ @t246 tptp.nil_a))))))))) % 0.45/0.79 (assume @p149 (forall @t6 (=> @t140 (not (forall (@list @t181 @t256) (not (= @t3 (_ (_ tptp.append_nat @t181) (_ @t257 tptp.nil_nat))))))))) % 0.45/0.79 (assume @p150 (forall @t299 (=> @t176 (=> (forall @t228 @t334) @t224)))) % 0.45/0.79 (assume @p151 (forall @t302 (=> @t184 (=> (forall @t237 @t335) @t233)))) % 0.45/0.79 (assume @p152 (= (_ tptp.descar1375166517sums_a tptp.nil_a) tptp.nil_a)) % 0.45/0.79 (assume @p153 (= (_ tptp.descar226543321ms_nat tptp.nil_nat) tptp.nil_nat)) % 0.45/0.79 (assume @p154 (forall (@list @t121 @t33) (= (_ (_ tptp.append_a @t344) @t116) (_ @t36 @t344)))) % 0.45/0.79 (assume @p155 (forall (@list @t121 @t28) (= (_ (_ tptp.append_nat @t345) @t119) (_ @t31 @t345)))) % 0.45/0.79 (assume @p156 (forall @t164 (= (_ tptp.descar1375166517sums_a @t116) @t116))) % 0.45/0.79 (assume @p157 (forall @t165 (= (_ tptp.descar226543321ms_nat @t119) @t119))) % 0.45/0.79 (assume @p158 (forall @t164 (= (= tptp.zero_zero_a @t33) @t346))) % 0.45/0.79 (assume @p159 (forall @t165 (= (= tptp.zero_zero_nat @t28) @t347))) % 0.45/0.79 (assume @p160 (forall @t107 (not (= @t37 @t7)))) % 0.45/0.79 (assume @p161 (forall @t108 (not (= @t32 @t3)))) % 0.45/0.79 (assume @p162 (forall (@list @t7 @t47 @t46 @t348) (= (= @t51 (_ @t61 @t348)) (exists (@list @t349) (or (and (= @t7 (_ @t61 @t349)) (= (_ @t350 @t47) @t348)) (and (= (_ @t50 @t349) @t46) (= @t47 (_ @t350 @t348)))))))) % 0.45/0.79 (assume @p163 (forall (@list @t3 @t54 @t53 @t351) (= (= @t58 (_ @t63 @t351)) (exists (@list @t352) (or (and (= @t3 (_ @t63 @t352)) (= (_ @t353 @t54) @t351)) (and (= (_ @t57 @t352) @t53) (= @t54 (_ @t353 @t351)))))))) % 0.45/0.79 (assume @p164 (forall (@list @t7 @t79 @t46 @t47 @t354) (=> (= (_ @t50 @t79) @t46) (=> (= @t47 (_ @t80 @t354)) (= @t51 (_ @t61 @t354)))))) % 0.45/0.79 (assume @p165 (forall (@list @t3 @t82 @t53 @t54 @t355) (=> (= (_ @t57 @t82) @t53) (=> (= @t54 (_ @t83 @t355)) (= @t58 (_ @t63 @t355)))))) % 0.45/0.79 (assume @p166 (forall (@list @t33 @t7 @t47) (= (_ (_ tptp.append_a @t37) @t47) (_ @t36 @t51)))) % 0.45/0.79 (assume @p167 (forall (@list @t28 @t3 @t54) (= (_ (_ tptp.append_nat @t32) @t54) (_ @t31 @t58)))) % 0.45/0.79 (assume @p168 (forall (@list @t356) (= (_ tptp.v (_ @t357 tptp.xsa)) (_ (_ tptp.plus_plus_int (_ tptp.v (_ @t357 (_ @t12 tptp.nil_a)))) (_ tptp.v @t13))))) % 0.45/0.79 (assume @p169 (_ (_ tptp.ord_less_nat tptp.p) (_ tptp.size_size_list_a tptp.xsa))) % 0.45/0.79 (assume @p170 (forall @t92 (= @t114 @t94))) % 0.45/0.79 (assume @p171 (forall @t360 (= (not @t359) (_ @t93 @t358)))) % 0.45/0.79 (assume @p172 (forall @t164 (_ @t361 @t33))) % 0.45/0.79 (assume @p173 (forall @t165 (_ @t362 @t28))) % 0.45/0.79 (assume @p174 (forall @t280 (=> @t303 (=> @t277 (=> @t305 @t269))))) % 0.45/0.79 (assume @p175 (forall @t280 (=> @t277 (=> (forall (@list @t364 @t363) (_ @t278 (_ (_ tptp.cons_a @t364) @t363))) (=> @t303 @t269))))) % 0.45/0.79 (assume @p176 (forall @t292 (=> @t289 (=> (forall (@list @t366 @t365) (_ @t290 (_ (_ tptp.cons_nat @t366) @t365))) (=> @t313 @t282))))) % 0.45/0.79 (assume @p177 (forall @t373 (exists @t372 (forall @t371 (=> @t370 (not (_ (_ tptp.ord_less_eq_a @t368) @t367))))))) % 0.45/0.79 (assume @p178 (forall @t380 (exists @t379 (forall @t378 (=> @t377 (not (_ (_ tptp.ord_less_eq_nat @t375) @t374))))))) % 0.45/0.79 (assume @p179 (forall @t373 (exists @t372 (forall @t371 (=> @t370 (_ (_ tptp.ord_less_eq_a @t367) @t368)))))) % 0.45/0.79 (assume @p180 (forall @t380 (exists @t379 (forall @t378 (=> @t377 (_ (_ tptp.ord_less_eq_nat @t374) @t375)))))) % 0.45/0.79 (assume @p181 (forall @t389 (= @t388 @t383))) % 0.45/0.79 (assume @p182 (forall @t395 (= @t394 @t383))) % 0.45/0.79 (assume @p183 (forall @t92 (_ @t168 @t15))) % 0.45/0.79 (assume @p184 (forall @t360 (_ @t168 @t358))) % 0.45/0.79 (assume @p185 (forall @t396 (= (_ (_ tptp.plus_plus_int tptp.zero_zero_int) @t384) @t384))) % 0.45/0.79 (assume @p186 (forall @t398 (= (_ (_ tptp.plus_plus_a tptp.zero_zero_a) @t397) @t397))) % 0.45/0.79 (assume @p187 (forall @t360 (= (_ (_ tptp.plus_plus_nat tptp.zero_zero_nat) @t358) @t358))) % 0.45/0.79 (assume @p188 (forall @t396 (= (_ @t385 tptp.zero_zero_int) @t384))) % 0.45/0.79 (assume @p189 (forall @t398 (= (_ @t399 tptp.zero_zero_a) @t397))) % 0.45/0.79 (assume @p190 (forall @t360 (= (_ @t400 tptp.zero_zero_nat) @t358))) % 0.45/0.79 (assume @p191 (forall @t396 (= (= @t402 tptp.zero_zero_int) @t401))) % 0.45/0.79 (assume @p192 (forall @t398 (= (= @t404 tptp.zero_zero_a) @t403))) % 0.45/0.79 (assume @p193 (forall @t396 (= (= tptp.zero_zero_int @t402) @t401))) % 0.45/0.79 (assume @p194 (forall @t398 (= (= tptp.zero_zero_a @t404) @t403))) % 0.45/0.79 (assume @p195 (forall @t406 (= (= @t393 @t384) @t405))) % 0.45/0.79 (assume @p196 (forall @t411 (= (= @t410 @t397) @t408))) % 0.45/0.79 (assume @p197 (forall @t416 (= (= @t415 @t358) @t413))) % 0.45/0.79 (assume @p198 (forall @t417 (= (= @t387 @t384) @t405))) % 0.45/0.79 (assume @p199 (forall @t419 (= (= @t418 @t397) @t408))) % 0.45/0.79 (assume @p200 (forall @t421 (= (= @t420 @t358) @t413))) % 0.45/0.79 (assume @p201 (forall @t417 (= (= @t384 @t393) @t405))) % 0.45/0.79 (assume @p202 (forall @t419 (= (= @t397 @t410) @t408))) % 0.45/0.79 (assume @p203 (forall @t421 (= (= @t358 @t415) @t413))) % 0.45/0.79 (assume @p204 (forall @t417 (= (= @t384 @t387) @t405))) % 0.45/0.79 (assume @p205 (forall @t419 (= (= @t397 @t418) @t408))) % 0.45/0.79 (assume @p206 (forall @t421 (= (= @t358 @t420) @t413))) % 0.45/0.79 (assume @p207 (forall @t425 @t424)) % 0.45/0.79 (assume @p208 (forall @t425 (= (= tptp.zero_zero_nat @t423) @t422))) % 0.45/0.79 (assume @p209 (forall @t431 (= @t430 @t427))) % 0.45/0.79 (assume @p210 (forall @t437 (= @t436 @t433))) % 0.45/0.79 (assume @p211 (forall @t445 (= @t444 @t439))) % 0.45/0.79 (assume @p212 (forall @t448 (= @t447 @t427))) % 0.45/0.79 (assume @p213 (forall @t451 (= @t450 @t433))) % 0.45/0.79 (assume @p214 (forall @t456 (= @t455 @t439))) % 0.45/0.79 (assume @p215 (forall @t431 (= @t460 @t458))) % 0.45/0.79 (assume @p216 (forall @t445 (= @t464 @t462))) % 0.45/0.79 (assume @p217 (forall @t448 (= @t465 @t458))) % 0.45/0.79 (assume @p218 (forall @t456 (= @t466 @t462))) % 0.45/0.79 (assume @p219 (forall (@list @t3 @t54 @t355 @t467) (=> (or (= @t469 @t468) (= (_ tptp.size_size_list_nat @t355) (_ tptp.size_size_list_nat @t467))) (= (= (_ @t57 @t355) (_ @t55 @t467)) (and @t118 (= @t355 @t467)))))) % 0.45/0.79 (assume @p220 (forall (@list @t7 @t47 @t354 @t470) (=> (or @t473 (= (_ tptp.size_size_list_a @t354) (_ tptp.size_size_list_a @t470))) (= (= (_ @t50 @t354) (_ @t48 @t470)) (and @t115 (= @t354 @t470)))))) % 0.45/0.79 (assume @p221 (forall @t25 (= @t476 @t475))) % 0.45/0.79 (assume @p222 (forall (@list @t7 @t15) (=> @t475 @t476))) % 0.45/0.79 (assume @p223 (forall @t113 (= (_ tptp.size_size_list_nat @t29) @t15))) % 0.45/0.79 (assume @p224 (forall @t112 (= (_ tptp.size_size_list_a @t34) @t15))) % 0.45/0.79 (assume @p225 (forall @t10 (= (_ tptp.size_size_list_a @t8) @t472))) % 0.45/0.79 (assume @p226 (forall @t6 (= (_ tptp.size_size_list_nat @t4) @t469))) % 0.45/0.79 (assume @p227 (forall @t396 (= (_ @t477 @t402) (_ @t477 @t384)))) % 0.45/0.79 (assume @p228 (forall @t398 (= (_ @t64 @t404) (_ @t64 @t397)))) % 0.45/0.79 (assume @p229 (forall @t396 (= (_ (_ tptp.ord_less_eq_int @t402) tptp.zero_zero_int) @t478))) % 0.45/0.79 (assume @p230 (forall @t398 (= (_ (_ tptp.ord_less_eq_a @t404) tptp.zero_zero_a) @t479))) % 0.45/0.79 (assume @p231 (forall @t417 (= (_ @t426 @t393) @t480))) % 0.45/0.79 (assume @p232 (forall @t419 (= (_ @t432 @t410) @t481))) % 0.45/0.79 (assume @p233 (forall @t421 (= (_ @t438 @t415) @t482))) % 0.45/0.79 (assume @p234 (forall @t417 (= (_ @t426 @t387) @t480))) % 0.45/0.79 (assume @p235 (forall @t419 (= (_ @t432 @t418) @t481))) % 0.45/0.79 (assume @p236 (forall @t421 (= (_ @t438 @t420) @t482))) % 0.45/0.79 (assume @p237 (forall @t417 (= (_ (_ tptp.ord_less_eq_int @t387) @t382) @t478))) % 0.45/0.79 (assume @p238 (forall @t419 (= (_ (_ tptp.ord_less_eq_a @t418) @t407) @t479))) % 0.45/0.79 (assume @p239 (forall @t421 (= (_ (_ tptp.ord_less_eq_nat @t420) @t412) @t483))) % 0.45/0.79 (assume @p240 (forall @t406 (= (_ (_ tptp.ord_less_eq_int @t393) @t382) @t478))) % 0.45/0.79 (assume @p241 (forall @t411 (= (_ (_ tptp.ord_less_eq_a @t410) @t407) @t479))) % 0.45/0.79 (assume @p242 (forall @t416 (= (_ (_ tptp.ord_less_eq_nat @t415) @t412) @t483))) % 0.45/0.79 (assume @p243 (forall @t396 (= (_ @t484 @t402) (_ @t484 @t384)))) % 0.45/0.79 (assume @p244 (forall @t398 (= (_ @t485 @t404) (_ @t485 @t397)))) % 0.45/0.79 (assume @p245 (forall @t396 (= (_ (_ tptp.ord_less_int @t402) tptp.zero_zero_int) @t486))) % 0.45/0.79 (assume @p246 (forall @t398 (= (_ (_ tptp.ord_less_a @t404) tptp.zero_zero_a) @t488))) % 0.45/0.79 (assume @p247 (forall @t417 (= (_ @t457 @t393) @t489))) % 0.45/0.79 (assume @p248 (forall @t419 (= (_ @t487 @t410) @t490))) % 0.45/0.79 (assume @p249 (forall @t421 (= (_ @t461 @t415) @t491))) % 0.45/0.79 (assume @p250 (forall @t417 (= (_ @t457 @t387) @t489))) % 0.45/0.79 (assume @p251 (forall @t419 (= (_ @t487 @t418) @t490))) % 0.45/0.79 (assume @p252 (forall @t421 (= (_ @t461 @t420) @t491))) % 0.45/0.79 (assume @p253 (forall @t417 (= (_ (_ tptp.ord_less_int @t387) @t382) @t486))) % 0.45/0.79 (assume @p254 (forall @t419 (= (_ (_ tptp.ord_less_a @t418) @t407) @t488))) % 0.45/0.79 (assume @p255 (forall @t421 (= (_ (_ tptp.ord_less_nat @t420) @t412) @t492))) % 0.45/0.79 (assume @p256 (forall @t406 (= (_ (_ tptp.ord_less_int @t393) @t382) @t486))) % 0.45/0.79 (assume @p257 (forall @t411 (= (_ (_ tptp.ord_less_a @t410) @t407) @t488))) % 0.45/0.79 (assume @p258 (forall @t416 (= (_ (_ tptp.ord_less_nat @t415) @t412) @t492))) % 0.45/0.79 (assume @p259 (forall @t10 (= (= @t472 tptp.zero_zero_nat) @t102))) % 0.45/0.79 (assume @p260 (forall @t10 (= (_ @t93 @t472) @t136))) % 0.45/0.79 (assume @p261 (forall (@list @t3 @t28 @t54) (= (_ (_ tptp.nth_nat (_ @t57 @t493)) @t469) @t28))) % 0.45/0.79 (assume @p262 (forall (@list @t7 @t33 @t47) (= (_ (_ tptp.nth_a (_ @t50 @t494)) @t472) @t33))) % 0.45/0.79 (assume @p263 (forall @t389 (= (_ (_ tptp.plus_plus_int @t387) @t381) @t495))) % 0.45/0.79 (assume @p264 (forall @t504 (=> (and @t503 @t502) (= @t501 @t498)))) % 0.45/0.79 (assume @p265 (forall (@list @t3 @t54 @t28) (=> (_ (_ tptp.ord_less_eq_nat @t469) @t468) (not (= @t3 @t493))))) % 0.45/0.79 (assume @p266 (forall (@list @t7 @t47 @t33) (=> (_ @t474 @t471) (not (= @t7 @t494))))) % 0.45/0.79 (assume @p267 (forall @t92 (exists @t276 (= @t505 @t15)))) % 0.45/0.79 (assume @p268 (forall @t104 (=> (not @t473) (not @t115)))) % 0.45/0.79 (assume @p269 (forall (@list @t508 @t499 @t384 @t382) (=> (= @t508 (_ @t506 @t384)) (= (_ (_ tptp.plus_plus_int @t508) @t382) @t507)))) % 0.45/0.79 (assume @p270 (forall (@list @t509 @t499 @t382 @t384) (=> (= @t509 (_ @t506 @t382)) (= (_ @t385 @t509) @t507)))) % 0.45/0.79 (assume @p271 (forall @t360 (= @t483 @t359))) % 0.45/0.79 (assume @p272 (forall @t360 (=> @t483 @t359))) % 0.45/0.79 (assume @p273 (= tptp.plus_plus_int (lambda (@list @t510 @t511) (_ (_ tptp.plus_plus_int @t511) @t510)))) % 0.45/0.79 (assume @p274 (forall @t395 (= (_ @t392 @t386) @t495))) % 0.45/0.79 (assume @p275 (forall @t389 (=> @t388 @t383))) % 0.45/0.79 (assume @p276 (forall @t395 (=> @t394 @t383))) % 0.45/0.79 (assume @p277 (forall (@list @t186 @t326) (=> (not (= (_ tptp.size_size_list_a @t186) (_ tptp.size_size_list_a @t326))) (not (= @t186 @t326))))) % 0.45/0.79 (assume @p278 (forall (@list @t513 @t121 @t512) (=> (forall (@list @t143 @t515) (=> (_ @t516 @t515) (_ (_ tptp.ord_less_nat (_ @t513 @t143)) (_ @t513 @t515)))) (=> @t514 (_ (_ tptp.ord_less_eq_nat (_ @t513 @t121)) (_ @t513 @t512)))))) % 0.45/0.79 (assume @p279 (forall @t167 (=> @t517 (=> (not @t88) @t166)))) % 0.45/0.79 (assume @p280 (forall @t167 (=> (or @t166 @t88) @t517))) % 0.45/0.79 (assume @p281 (forall @t167 (=> @t166 @t517))) % 0.45/0.79 (assume @p282 (forall (@list @t519 @t15) (=> (_ @t519 @t15) (=> (not (_ @t519 tptp.zero_zero_nat)) (exists (@list @t518) (and (_ (_ tptp.ord_less_eq_nat @t518) @t15) (forall (@list @t520) (=> (_ (_ tptp.ord_less_nat @t520) @t518) (not (_ @t519 @t520)))) (_ @t519 @t518))))))) % 0.45/0.79 (assume @p283 (= tptp.ord_less_nat (lambda @t524 (and (_ (_ tptp.ord_less_eq_nat @t522) @t521) (not @t523))))) % 0.45/0.79 (assume @p284 (forall @t431 (=> @t430 @t427))) % 0.45/0.79 (assume @p285 (forall @t437 (=> @t436 @t433))) % 0.45/0.79 (assume @p286 (forall @t445 (=> @t444 @t439))) % 0.45/0.79 (assume @p287 (forall @t448 (=> @t447 @t427))) % 0.45/0.79 (assume @p288 (forall @t451 (=> @t450 @t433))) % 0.45/0.79 (assume @p289 (forall @t456 (=> @t455 @t439))) % 0.45/0.79 (assume @p290 (= tptp.ord_less_eq_nat (lambda (@list @t526 @t527) (exists (@list @t525) (= @t527 (_ (_ tptp.plus_plus_nat @t526) @t525)))))) % 0.45/0.79 (assume @p291 (forall @t389 (=> @t427 @t430))) % 0.45/0.79 (assume @p292 (forall @t528 (=> @t433 @t436))) % 0.45/0.80 (assume @p293 (forall @t529 (=> @t439 @t444))) % 0.45/0.80 (assume @p294 (forall @t421 (=> @t439 (not (forall (@list @t530) (not (= @t412 (_ @t400 @t530)))))))) % 0.45/0.80 (assume @p295 (forall @t389 (=> @t427 @t447))) % 0.45/0.80 (assume @p296 (forall @t528 (=> @t433 @t450))) % 0.45/0.80 (assume @p297 (forall @t529 (=> @t439 @t455))) % 0.45/0.80 (assume @p298 (forall @t533 (=> @t427 (=> (_ (_ tptp.ord_less_eq_int @t381) @t531) (_ @t429 @t532))))) % 0.45/0.80 (assume @p299 (forall (@list @t397 @t407 @t434 @t534) (=> @t433 (=> (_ (_ tptp.ord_less_eq_a @t434) @t534) (_ @t435 (_ @t409 @t534)))))) % 0.45/0.80 (assume @p300 (forall @t537 (=> @t439 (=> (_ (_ tptp.ord_less_eq_nat @t440) @t535) (_ @t443 @t536))))) % 0.45/0.80 (assume @p301 (forall @t504 (=> (and @t540 @t539) @t538))) % 0.45/0.80 (assume @p302 (forall @t548 (=> (and @t547 @t546) @t545))) % 0.45/0.80 (assume @p303 (forall @t555 (=> (and @t514 @t554) @t552))) % 0.45/0.80 (assume @p304 (forall @t504 (=> (and @t503 @t539) @t538))) % 0.45/0.80 (assume @p305 (forall @t548 (=> (and (= @t544 @t542) @t546) @t545))) % 0.45/0.80 (assume @p306 (forall @t555 (=> (and @t556 @t554) @t552))) % 0.45/0.80 (assume @p307 (forall @t504 (=> (and @t540 @t502) @t538))) % 0.45/0.80 (assume @p308 (forall @t548 (=> (and @t547 (= @t543 @t541)) @t545))) % 0.45/0.80 (assume @p309 (forall @t555 (=> (and @t514 @t557) @t552))) % 0.45/0.80 (assume @p310 (forall @t431 (=> @t460 @t458))) % 0.45/0.80 (assume @p311 (forall @t445 (=> @t464 @t462))) % 0.45/0.80 (assume @p312 (forall @t448 (=> @t465 @t458))) % 0.45/0.80 (assume @p313 (forall @t456 (=> @t466 @t462))) % 0.45/0.80 (assume @p314 (forall @t389 (=> @t458 @t460))) % 0.45/0.80 (assume @p315 (forall @t529 (=> @t462 @t464))) % 0.45/0.80 (assume @p316 (forall @t389 (=> @t458 @t465))) % 0.45/0.80 (assume @p317 (forall @t529 (=> @t462 @t466))) % 0.45/0.80 (assume @p318 (forall @t533 (=> @t458 (=> (_ (_ tptp.ord_less_int @t381) @t531) (_ @t459 @t532))))) % 0.45/0.80 (assume @p319 (forall @t537 (=> @t462 (=> (_ (_ tptp.ord_less_nat @t440) @t535) (_ @t463 @t536))))) % 0.45/0.80 (assume @p320 (forall @t504 (=> (and @t559 @t502) @t558))) % 0.45/0.80 (assume @p321 (forall @t555 (=> (and @t561 @t557) @t560))) % 0.45/0.80 (assume @p322 (forall @t504 (=> (and @t503 @t562) @t558))) % 0.45/0.80 (assume @p323 (forall @t555 (=> (and @t556 @t563) @t560))) % 0.45/0.80 (assume @p324 (forall @t504 (=> (and @t559 @t562) @t558))) % 0.45/0.80 (assume @p325 (forall @t555 (=> (and @t561 @t563) @t560))) % 0.45/0.80 (assume @p326 (= (_ tptp.size_size_list_a tptp.nil_a) tptp.zero_zero_nat)) % 0.45/0.80 (assume @p327 (forall @t299 (=> (forall @t276 (=> (forall (@list @t564) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_size_list_a @t564)) @t505) (_ @t171 @t564))) @t226)) @t224))) % 0.45/0.80 (assume @p328 (forall (@list @t75 @t7 @t47) (=> (_ @t553 @t472) (=> (_ @t553 @t471) (=> (forall @t145 (=> (_ @t516 @t75) (= (_ @t122 @t143) (_ (_ tptp.nth_a @t47) @t143)))) (= (_ @t565 @t7) (_ @t565 @t47))))))) % 0.45/0.80 (assume @p329 (forall @t569 (=> (_ (_ tptp.ord_less_eq_int @t567) tptp.zero_zero_int) (=> (_ (_ tptp.ord_less_eq_int @t566) tptp.zero_zero_int) @t568)))) % 0.45/0.80 (assume @p330 (forall @t571 (=> (_ @t361 tptp.zero_zero_a) (=> (_ (_ tptp.ord_less_eq_a @t84) tptp.zero_zero_a) @t570)))) % 0.45/0.80 (assume @p331 (forall @t425 (=> (_ @t362 tptp.zero_zero_nat) (=> (_ (_ tptp.ord_less_eq_nat @t89) tptp.zero_zero_nat) @t424)))) % 0.45/0.80 (assume @p332 (forall @t569 (=> (_ @t477 @t567) (=> (_ @t477 @t566) @t568)))) % 0.45/0.80 (assume @p333 (forall @t571 (=> (_ @t64 @t33) (=> (_ @t64 @t84) @t570)))) % 0.45/0.80 (assume @p334 (forall @t425 (=> @t169 (=> (_ @t168 @t89) @t424)))) % 0.45/0.80 (assume @p335 @t577) % 0.45/0.80 (assume @p336 true) % 0.45/0.80 (step @p337 (= tptp.ord_less_eq_nat @t578) :rule refl :args (@t578)) % 0.45/0.80 (step @p338 :rule refl :args ((tptp.append_a @t19 @t8))) % 0.45/0.80 (step @p339 :rule refl :args (@t579)) % 0.45/0.80 (step @p340 :rule refl :args (@t580)) % 0.45/0.80 (step @p341 :rule cong :premises (@p340 @p339) :args (@t581)) % 0.45/0.80 (step @p342 :rule trans :premises (@p341 @p338)) % 0.45/0.80 (step @p343 :rule refl :args (tptp.append_a)) % 0.45/0.80 (step @p344 :rule ho_cong :premises (@p343 @p340)) % 0.45/0.80 (step @p345 :rule ho_cong :premises (@p344 @p339)) % 0.45/0.80 (step @p346 :rule cong :premises (@p345 @p342) :args ((= (_ @t582 @t579) @t581))) % 0.45/0.80 (step @p347 :rule symm :premises (@p346)) % 0.45/0.80 (step @p348 :rule refl :args (@t21)) % 0.45/0.80 (step @p349 :rule eq_resolve :premises (@p348 @p347)) % 0.45/0.80 (step @p350 :rule refl :args (@t8)) % 0.45/0.80 (step @p351 :rule cong :premises (@p350 @p339) :args ((= @t8 @t579))) % 0.45/0.80 (step @p352 :rule symm :premises (@p351)) % 0.45/0.80 (step @p353 :rule eq_resolve :premises (@p350 @p352)) % 0.45/0.80 (step @p354 :rule refl :args (@t19)) % 0.45/0.80 (step @p355 :rule cong :premises (@p354 @p340) :args ((= @t19 @t580))) % 0.45/0.80 (step @p356 :rule symm :premises (@p355)) % 0.45/0.80 (step @p357 :rule eq_resolve :premises (@p354 @p356)) % 0.45/0.80 (step @p358 :rule ho_cong :premises (@p343 @p357)) % 0.45/0.80 (step @p359 :rule ho_cong :premises (@p358 @p353)) % 0.45/0.80 (step @p360 :rule trans :premises (@p359 @p349)) % 0.45/0.80 (step @p361 :rule refl :args ((tptp.descar1375166517sums_a @t22))) % 0.45/0.80 (step @p362 :rule refl :args ((tptp.append_a @t19 @t7))) % 0.45/0.80 (step @p363 :rule refl :args (@t7)) % 0.45/0.80 (step @p364 :rule cong :premises (@p340 @p363) :args (@t583)) % 0.45/0.80 (step @p365 :rule trans :premises (@p364 @p362)) % 0.45/0.80 (step @p366 :rule cong :premises (@p365) :args (@t584)) % 0.45/0.80 (step @p367 :rule trans :premises (@p366 @p361)) % 0.45/0.80 (step @p368 :rule refl :args (tptp.descar1375166517sums_a)) % 0.45/0.80 (step @p369 :rule ho_cong :premises (@p368 @p365)) % 0.45/0.80 (step @p370 :rule cong :premises (@p369 @p367) :args ((= (_ tptp.descar1375166517sums_a @t583) @t584))) % 0.45/0.80 (step @p371 :rule symm :premises (@p370)) % 0.45/0.80 (step @p372 :rule refl :args (@t23)) % 0.45/0.80 (step @p373 :rule eq_resolve :premises (@p372 @p371)) % 0.45/0.80 (step @p374 :rule ho_cong :premises (@p344 @p363)) % 0.45/0.80 (step @p375 :rule cong :premises (@p374 @p365) :args ((= (_ @t582 @t7) @t583))) % 0.45/0.80 (step @p376 :rule symm :premises (@p375)) % 0.45/0.80 (step @p377 :rule refl :args (@t22)) % 0.45/0.80 (step @p378 :rule eq_resolve :premises (@p377 @p376)) % 0.45/0.80 (step @p379 :rule ho_cong :premises (@p358 @p363)) % 0.45/0.80 (step @p380 :rule trans :premises (@p379 @p378)) % 0.45/0.80 (step @p381 :rule ho_cong :premises (@p368 @p380)) % 0.45/0.80 (step @p382 :rule trans :premises (@p381 @p373)) % 0.45/0.80 (step @p383 :rule cong :premises (@p382 @p360) :args (@t24)) % 0.45/0.80 (step @p384 :rule cong :premises (@p383) :args (@t26)) % 0.45/0.80 (step @p385 :rule eq_resolve :premises (@p9 @p384)) % 0.45/0.80 (step @p386 :rule eq-symm :args (@t585 @t590)) % 0.45/0.80 (step @p387 :rule refl :args ((tptp.append_a @t11 @t572))) % 0.45/0.80 (step @p388 :rule refl :args ((tptp.descar1375166517sums_a @t13))) % 0.45/0.80 (step @p389 :rule refl :args ((tptp.cons_a @t2 tptp.xs2))) % 0.45/0.80 (step @p390 :rule refl :args (tptp.xs2)) % 0.45/0.80 (step @p391 :rule refl :args (@t586)) % 0.45/0.80 (step @p392 :rule cong :premises (@p391 @p390) :args (@t587)) % 0.45/0.80 (step @p393 :rule trans :premises (@p392 @p389)) % 0.45/0.80 (step @p394 :rule cong :premises (@p393) :args (@t588)) % 0.45/0.80 (step @p395 :rule trans :premises (@p394 @p388)) % 0.45/0.80 (step @p396 :rule refl :args (@t589)) % 0.45/0.80 (step @p397 :rule cong :premises (@p396 @p395) :args (@t590)) % 0.45/0.80 (step @p398 :rule trans :premises (@p397 @p387)) % 0.45/0.80 (step @p399 :rule ho_cong :premises (@p343 @p396)) % 0.45/0.80 (step @p400 :rule ho_cong :premises (@p399 @p395)) % 0.45/0.80 (step @p401 :rule cong :premises (@p400 @p398) :args ((= (_ @t591 @t588) @t590))) % 0.45/0.80 (step @p402 :rule symm :premises (@p401)) % 0.45/0.80 (step @p403 :rule refl :args (@t574)) % 0.45/0.80 (step @p404 :rule eq_resolve :premises (@p403 @p402)) % 0.45/0.80 (step @p405 :rule ho_cong :premises (@p368 @p393)) % 0.45/0.80 (step @p406 :rule cong :premises (@p405 @p395) :args ((= (_ tptp.descar1375166517sums_a @t587) @t588))) % 0.45/0.80 (step @p407 :rule symm :premises (@p406)) % 0.45/0.80 (step @p408 :rule refl :args (@t572)) % 0.45/0.80 (step @p409 :rule eq_resolve :premises (@p408 @p407)) % 0.45/0.80 (step @p410 :rule refl :args (tptp.cons_a)) % 0.45/0.80 (step @p411 :rule ho_cong :premises (@p410 @p391)) % 0.45/0.80 (step @p412 :rule ho_cong :premises (@p411 @p390)) % 0.45/0.80 (step @p413 :rule cong :premises (@p412 @p393) :args ((= (_ (_ tptp.cons_a @t586) tptp.xs2) @t587))) % 0.45/0.80 (step @p414 :rule symm :premises (@p413)) % 0.45/0.80 (step @p415 :rule refl :args (@t13)) % 0.45/0.80 (step @p416 :rule eq_resolve :premises (@p415 @p414)) % 0.45/0.80 (step @p417 :rule refl :args (tptp.xs2)) % 0.45/0.80 (step @p418 :rule refl :args (@t2)) % 0.45/0.80 (step @p419 :rule cong :premises (@p418 @p391) :args ((= @t2 @t586))) % 0.45/0.80 (step @p420 :rule symm :premises (@p419)) % 0.45/0.80 (step @p421 :rule eq_resolve :premises (@p418 @p420)) % 0.45/0.80 (step @p422 :rule refl :args (tptp.cons_a)) % 0.45/0.80 (step @p423 :rule ho_cong :premises (@p422 @p421)) % 0.45/0.80 (step @p424 :rule ho_cong :premises (@p423 @p417)) % 0.45/0.80 (step @p425 :rule trans :premises (@p424 @p416)) % 0.45/0.80 (step @p426 :rule refl :args (tptp.descar1375166517sums_a)) % 0.45/0.80 (step @p427 :rule ho_cong :premises (@p426 @p425)) % 0.45/0.80 (step @p428 :rule trans :premises (@p427 @p409)) % 0.45/0.80 (step @p429 :rule refl :args (@t11)) % 0.45/0.80 (step @p430 :rule cong :premises (@p429 @p396) :args ((= @t11 @t589))) % 0.45/0.80 (step @p431 :rule symm :premises (@p430)) % 0.45/0.80 (step @p432 :rule eq_resolve :premises (@p429 @p431)) % 0.45/0.80 (step @p433 :rule refl :args (tptp.append_a)) % 0.45/0.80 (step @p434 :rule ho_cong :premises (@p433 @p432)) % 0.45/0.80 (step @p435 :rule ho_cong :premises (@p434 @p428)) % 0.45/0.80 (step @p436 :rule trans :premises (@p435 @p404)) % 0.45/0.80 (step @p437 :rule refl :args (@t585)) % 0.45/0.80 (step @p438 :rule refl :args (@t575)) % 0.45/0.80 (step @p439 :rule cong :premises (@p438 @p437) :args ((= @t575 @t585))) % 0.45/0.80 (step @p440 :rule symm :premises (@p439)) % 0.45/0.80 (step @p441 :rule eq_resolve :premises (@p438 @p440)) % 0.45/0.80 (step @p442 :rule cong :premises (@p441 @p436) :args (@t576)) % 0.45/0.80 (step @p443 :rule trans :premises (@p442 @p386)) % 0.45/0.80 (step @p444 :rule cong :premises (@p443) :args (@t577)) % 0.45/0.80 (step @p445 :rule eq_resolve :premises (@p335 @p444)) % 0.45/0.80 (step @p446 :rule false_intro :premises (@p445)) % 0.45/0.80 (step @p447 :rule refl :args ((tptp.append_a @t11 @t13))) % 0.45/0.80 (step @p448 :rule cong :premises (@p396 @p393) :args (@t592)) % 0.45/0.80 (step @p449 :rule trans :premises (@p448 @p447)) % 0.45/0.80 (step @p450 :rule ho_cong :premises (@p399 @p393)) % 0.45/0.80 (step @p451 :rule cong :premises (@p450 @p449) :args ((= (_ @t591 @t587) @t592))) % 0.45/0.80 (step @p452 :rule symm :premises (@p451)) % 0.45/0.80 (step @p453 :rule refl :args (@t593)) % 0.45/0.80 (step @p454 :rule eq_resolve :premises (@p453 @p452)) % 0.45/0.80 (step @p455 :rule ho_cong :premises (@p434 @p425)) % 0.45/0.80 (step @p456 :rule trans :premises (@p455 @p454)) % 0.45/0.80 (step @p457 :rule refl :args (tptp.xsa)) % 0.45/0.80 (step @p458 :rule cong :premises (@p457 @p456) :args ((= tptp.xsa @t593))) % 0.45/0.80 (step @p459 :rule refl :args (@t13)) % 0.45/0.80 (step @p460 :rule ho_cong :premises (@p433 @p6)) % 0.45/0.80 (step @p461 :rule ho_cong :premises (@p460 @p459)) % 0.45/0.80 (step @p462 :rule cong :premises (@p457 @p461) :args (@t14)) % 0.45/0.80 (step @p463 :rule trans :premises (@p462 @p458)) % 0.45/0.80 (step @p464 :rule eq_resolve :premises (@p7 @p463)) % 0.45/0.80 (step @p465 :rule symm :premises (@p464)) % 0.45/0.80 (step @p466 :rule cong :premises (@p465) :args (@t594)) % 0.45/0.80 (step @p467 :rule refl :args (@t590)) % 0.45/0.80 (step @p468 :rule cong :premises (@p467 @p466) :args (@t595)) % 0.45/0.80 (step @p469 :rule trans :premises (@p468 @p446)) % 0.45/0.80 (step @p470 :rule false_elim :premises (@p469)) % 0.45/0.80 (step @p471 :rule eq-symm :args (@t594 @t590)) % 0.45/0.80 (step @p472 :rule refl :args (@t596)) % 0.45/0.80 (step @p473 :rule cong :premises (@p472 @p471) :args ((=> @t596 @t597))) % 0.45/0.80 (assume-push @p481 @t596) % 0.45/0.80 (step @p475 :rule instantiate :premises (@p385) :args ((@list tptp.p @t587))) % 0.45/0.80 (step-pop @p482 :rule scope :premises (@p475)) % 0.45/0.80 (step @p476 :rule process_scope :premises (@p482) :args (@t597)) % 0.45/0.80 (step @p478 :rule eq_resolve :premises (@p476 @p473)) % 0.45/0.80 (step @p479 :rule implies_elim :premises (@p478)) % 0.45/0.80 (step @p480 false :rule chain_m_resolution :premises (@p479 @p470 @p385) :args (false (@list true false) (@list @t595 @t596))) % 0.45/0.80 ) % 0.45/0.80 % SZS output end Proof % 0.45/0.80 % cvc5 exiting %------------------------------------------------------------------------------