0.09/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.09/0.12	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.12/0.33	% Computer : n031.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit : 1920
0.12/0.33	% WCLimit  : 240
0.12/0.33	% DateTime : Sat Sep  6 00:14:22 EDT 2025
0.12/0.33	% CPUTime  : 
0.19/0.60	%----Proving TH0
0.46/0.81	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
0.46/0.81	% SZS status Theorem
0.46/0.81	% SZS output start Proof
0.46/0.81	(
0.46/0.81	(declare-type tptp.list_nat ())
0.46/0.81	(declare-type tptp.list_list_nat ())
0.46/0.81	(declare-type tptp.list_a ())
0.46/0.81	(declare-type tptp.nat ())
0.46/0.81	(declare-type tptp.list_list_a ())
0.46/0.81	(declare-type tptp.a ())
0.46/0.81	(declare-type tptp.int ())
0.46/0.81	(declare-const tptp.plus_plus_nat (-> tptp.nat tptp.nat tptp.nat))
0.46/0.81	(declare-const tptp.v (-> tptp.list_a tptp.int))
0.46/0.81	(declare-const tptp.nil_list_nat tptp.list_list_nat)
0.46/0.81	(declare-const tptp.cons_list_nat (-> tptp.list_nat tptp.list_list_nat tptp.list_list_nat))
0.46/0.81	(declare-const tptp.xa tptp.a)
0.46/0.81	(declare-const tptp.xs tptp.list_a)
0.46/0.81	(declare-const tptp.xs2 tptp.list_a)
0.46/0.81	(declare-const tptp.p tptp.nat)
0.46/0.81	(declare-const tptp.nil_list_a tptp.list_list_a)
0.46/0.81	(declare-const tptp.append_a (-> tptp.list_a tptp.list_a tptp.list_a))
0.46/0.81	(declare-const tptp.size_size_list_a (-> tptp.list_a tptp.nat))
0.46/0.81	(declare-const tptp.last_a (-> tptp.list_a tptp.a))
0.46/0.81	(declare-const tptp.nil_a tptp.list_a)
0.46/0.81	(declare-const tptp.cons_a (-> tptp.a tptp.list_a tptp.list_a))
0.46/0.81	(declare-const tptp.replicate_nat (-> tptp.nat tptp.nat tptp.list_nat))
0.46/0.81	(declare-const tptp.plus_plus_a (-> tptp.a tptp.a tptp.a))
0.46/0.81	(declare-const tptp.zero_zero_nat tptp.nat)
0.46/0.81	(declare-const tptp.replicate_a (-> tptp.nat tptp.a tptp.list_a))
0.46/0.81	(declare-const tptp.append_nat (-> tptp.list_nat tptp.list_nat tptp.list_nat))
0.46/0.81	(declare-const tptp.size_size_list_nat (-> tptp.list_nat tptp.nat))
0.46/0.81	(declare-const tptp.xs1 tptp.list_a)
0.46/0.81	(declare-const tptp.descar226543321ms_nat (-> tptp.list_nat tptp.list_nat))
0.46/0.81	(declare-const tptp.cons_nat (-> tptp.nat tptp.list_nat tptp.list_nat))
0.46/0.81	(declare-const tptp.plus_plus_int (-> tptp.int tptp.int tptp.int))
0.46/0.81	(declare-const tptp.nth_nat (-> tptp.list_nat tptp.nat tptp.nat))
0.46/0.81	(declare-const tptp.nil_nat tptp.list_nat)
0.46/0.81	(declare-const tptp.nth_a (-> tptp.list_a tptp.nat tptp.a))
0.46/0.81	(declare-const tptp.zero_zero_a tptp.a)
0.46/0.81	(declare-const tptp.ord_less_eq_a (-> tptp.a tptp.a Bool))
0.46/0.81	(declare-const tptp.ord_less_eq_int (-> tptp.int tptp.int Bool))
0.46/0.81	(declare-const tptp.zero_zero_int tptp.int)
0.46/0.81	(declare-const tptp.ord_less_a (-> tptp.a tptp.a Bool))
0.46/0.81	(declare-const tptp.ord_less_int (-> tptp.int tptp.int Bool))
0.46/0.81	(declare-const tptp.last_nat (-> tptp.list_nat tptp.nat))
0.46/0.81	(declare-const tptp.take_a (-> tptp.nat tptp.list_a tptp.list_a))
0.46/0.81	(declare-const tptp.descar1375166517sums_a (-> tptp.list_a tptp.list_a))
0.46/0.81	(declare-const tptp.xsa tptp.list_a)
0.46/0.81	(declare-const tptp.cons_list_a (-> tptp.list_a tptp.list_list_a tptp.list_list_a))
0.46/0.81	(define tptp.ord_less_eq_nat () (let ((_let_1 (@var "C2" tptp.nat))) (let ((_let_2 (@var "A5" tptp.nat))) (let ((_let_3 (@var "B3" tptp.nat))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (= _let_3 (_ (_ tptp.plus_plus_nat _let_2) _let_1))))))))
0.46/0.81	(define tptp.ord_less_nat () (let ((_let_1 (@var "N2" tptp.nat))) (let ((_let_2 (@var "M2" tptp.nat))) (lambda (@list _let_2 _let_1) (and (not (= _let_2 _let_1)) (_ (_ tptp.ord_less_eq_nat _let_2) _let_1))))))
0.46/0.81	(define @t1 () (@var "List" tptp.list_nat))
0.46/0.81	(define @t2 () (@var "X22" tptp.list_nat))
0.46/0.81	(define @t3 () (@var "X21" tptp.nat))
0.46/0.81	(define @t4 () (_ (_ tptp.cons_nat @t3) @t2))
0.46/0.81	(define @t5 () (@var "Xs" tptp.list_nat))
0.46/0.81	(define @t6 () (_ tptp.descar226543321ms_nat @t5))
0.46/0.81	(define @t7 () (@var "N" tptp.nat))
0.46/0.81	(define @t8 () (_ tptp.replicate_nat @t7))
0.46/0.81	(define @t9 () (_ tptp.append_nat (_ @t8 tptp.zero_zero_nat)))
0.46/0.81	(define @t10 () (@var "X" tptp.a))
0.46/0.81	(define @t11 () (@var "Xs" tptp.list_a))
0.46/0.81	(define @t12 () (_ tptp.cons_a @t10))
0.46/0.81	(define @t13 () (_ @t12 @t11))
0.46/0.81	(define @t14 () (_ tptp.last_a @t13))
0.46/0.81	(define @t15 () (= @t11 tptp.nil_a))
0.46/0.81	(define @t16 () (=> @t15 (= @t14 @t10)))
0.46/0.81	(define @t17 () (@list @t11 @t10))
0.46/0.81	(define @t18 () (@var "B" tptp.nat))
0.46/0.81	(define @t19 () (@var "A" tptp.nat))
0.46/0.81	(define @t20 () (_ tptp.ord_less_nat @t19))
0.46/0.81	(define @t21 () (_ @t20 @t18))
0.46/0.81	(define @t22 () (@var "C" tptp.nat))
0.46/0.81	(define @t23 () (_ tptp.plus_plus_nat @t18))
0.46/0.81	(define @t24 () (_ @t23 @t22))
0.46/0.81	(define @t25 () (_ tptp.plus_plus_nat @t19))
0.46/0.81	(define @t26 () (_ @t25 @t22))
0.46/0.81	(define @t27 () (_ tptp.ord_less_nat @t26))
0.46/0.81	(define @t28 () (_ @t27 @t24))
0.46/0.81	(define @t29 () (@list @t19 @t22 @t18))
0.46/0.81	(define @t30 () (= @t18 tptp.zero_zero_nat))
0.46/0.81	(define @t31 () (_ @t25 @t18))
0.46/0.81	(define @t32 () (@list @t19 @t18))
0.46/0.81	(define @t33 () (@var "C" tptp.int))
0.46/0.81	(define @t34 () (@var "B" tptp.int))
0.46/0.81	(define @t35 () (= @t34 @t33))
0.46/0.81	(define @t36 () (@var "A" tptp.int))
0.46/0.81	(define @t37 () (_ tptp.plus_plus_int @t33))
0.46/0.81	(define @t38 () (_ @t37 @t36))
0.46/0.81	(define @t39 () (_ tptp.plus_plus_int @t34))
0.46/0.81	(define @t40 () (_ @t39 @t36))
0.46/0.81	(define @t41 () (= @t40 @t38))
0.46/0.81	(define @t42 () (@list @t34 @t36 @t33))
0.46/0.81	(define @t43 () (@list @t19 @t18 @t22))
0.46/0.81	(define @t44 () (@var "Y" tptp.nat))
0.46/0.81	(define @t45 () (@var "X" tptp.nat))
0.46/0.81	(define @t46 () (= @t45 @t44))
0.46/0.81	(define @t47 () (@var "Ys" tptp.list_nat))
0.46/0.81	(define @t48 () (= @t5 @t47))
0.46/0.81	(define @t49 () (_ tptp.append_nat @t47))
0.46/0.81	(define @t50 () (_ tptp.cons_nat @t45))
0.46/0.81	(define @t51 () (_ @t50 tptp.nil_nat))
0.46/0.81	(define @t52 () (_ tptp.append_nat @t5))
0.46/0.81	(define @t53 () (_ @t52 @t51))
0.46/0.81	(define @t54 () (_ tptp.ord_less_nat tptp.zero_zero_nat))
0.46/0.81	(define @t55 () (_ @t54 @t7))
0.46/0.81	(define @t56 () (= @t7 tptp.zero_zero_nat))
0.46/0.81	(define @t57 () (not @t56))
0.46/0.81	(define @t58 () (@list @t7))
0.46/0.81	(define @t59 () (@var "Ys" tptp.list_a))
0.46/0.81	(define @t60 () (_ tptp.append_a tptp.nil_a))
0.46/0.81	(define @t61 () (_ @t60 @t59))
0.46/0.81	(define @t62 () (= @t11 @t59))
0.46/0.81	(define @t63 () (@list @t11 @t59))
0.46/0.81	(define @t64 () (@var "C" tptp.list_a))
0.46/0.81	(define @t65 () (@var "B" tptp.list_a))
0.46/0.81	(define @t66 () (@var "A" tptp.list_a))
0.46/0.81	(define @t67 () (_ tptp.append_a @t66))
0.46/0.81	(define @t68 () (@var "I" tptp.nat))
0.46/0.81	(define @t69 () (_ tptp.replicate_a @t7))
0.46/0.81	(define @t70 () (_ @t69 @t10))
0.46/0.81	(define @t71 () (_ tptp.ord_less_nat @t68))
0.46/0.81	(define @t72 () (_ @t71 @t7))
0.46/0.81	(define @t73 () (@var "P" (-> tptp.list_a Bool)))
0.46/0.81	(define @t74 () (_ @t73 @t11))
0.46/0.81	(define @t75 () (@var "X2" tptp.a))
0.46/0.81	(define @t76 () (_ tptp.cons_a @t75))
0.46/0.81	(define @t77 () (_ @t76 tptp.nil_a))
0.46/0.81	(define @t78 () (@var "Xs3" tptp.list_a))
0.46/0.81	(define @t79 () (_ @t73 @t78))
0.46/0.81	(define @t80 () (=> @t79 (_ @t73 (_ (_ tptp.append_a @t78) @t77))))
0.46/0.81	(define @t81 () (@list @t75 @t78))
0.46/0.81	(define @t82 () (_ @t73 tptp.nil_a))
0.46/0.81	(define @t83 () (@list @t73 @t11))
0.46/0.81	(define @t84 () (@var "Y" tptp.a))
0.46/0.81	(define @t85 () (= @t10 tptp.zero_zero_a))
0.46/0.81	(define @t86 () (= (= (_ (_ tptp.plus_plus_a @t10) @t84) tptp.zero_zero_a) (and @t85 (= @t84 tptp.zero_zero_a))))
0.46/0.81	(define @t87 () (_ tptp.ord_less_eq_a @t10))
0.46/0.81	(define @t88 () (@list @t10 @t84))
0.46/0.81	(define @t89 () (@var "B" tptp.a))
0.46/0.81	(define @t90 () (@var "C" tptp.a))
0.46/0.81	(define @t91 () (_ tptp.plus_plus_a @t90))
0.46/0.81	(define @t92 () (@var "A" tptp.a))
0.46/0.81	(define @t93 () (_ (_ tptp.ord_less_eq_a (_ @t91 @t92)) (_ @t91 @t89)))
0.46/0.81	(define @t94 () (_ tptp.ord_less_eq_a @t92))
0.46/0.81	(define @t95 () (_ @t94 @t89))
0.46/0.81	(define @t96 () (@list @t92 @t89 @t90))
0.46/0.81	(define @t97 () (_ @t37 @t34))
0.46/0.81	(define @t98 () (_ (_ tptp.ord_less_eq_int @t38) @t97))
0.46/0.81	(define @t99 () (_ tptp.ord_less_eq_int @t36))
0.46/0.81	(define @t100 () (_ @t99 @t34))
0.46/0.81	(define @t101 () (@list @t36 @t34 @t33))
0.46/0.81	(define @t102 () (_ @t39 @t33))
0.46/0.81	(define @t103 () (_ tptp.plus_plus_int @t36))
0.46/0.81	(define @t104 () (_ @t103 @t102))
0.46/0.81	(define @t105 () (_ @t103 @t34))
0.46/0.81	(define @t106 () (@list @t36))
0.46/0.81	(define @t107 () (@var "P" (-> tptp.list_a tptp.list_a Bool)))
0.46/0.81	(define @t108 () (@var "Ys3" tptp.list_a))
0.46/0.81	(define @t109 () (@var "Y2" tptp.a))
0.46/0.81	(define @t110 () (_ tptp.cons_a @t109))
0.46/0.81	(define @t111 () (_ @t110 @t108))
0.46/0.81	(define @t112 () (_ @t76 @t78))
0.46/0.81	(define @t113 () (_ @t107 @t112))
0.46/0.81	(define @t114 () (_ @t113 @t111))
0.46/0.81	(define @t115 () (_ @t107 @t78))
0.46/0.81	(define @t116 () (@list @t75 @t78 @t109 @t108))
0.46/0.81	(define @t117 () (forall @t116 (=> (_ @t115 @t108) @t114)))
0.46/0.81	(define @t118 () (_ @t107 tptp.nil_a))
0.46/0.81	(define @t119 () (@list @t109 @t108))
0.46/0.81	(define @t120 () (forall @t119 (_ @t118 @t111)))
0.46/0.81	(define @t121 () (_ tptp.last_a @t11))
0.46/0.81	(define @t122 () (not @t15))
0.46/0.81	(define @t123 () (=> @t122 (= @t14 @t121)))
0.46/0.81	(define @t124 () (@var "M" tptp.nat))
0.46/0.81	(define @t125 () (= @t124 @t7))
0.46/0.81	(define @t126 () (= @t10 @t84))
0.46/0.81	(define @t127 () (not (= @t124 tptp.zero_zero_nat)))
0.46/0.81	(define @t128 () (= @t89 tptp.zero_zero_a))
0.46/0.81	(define @t129 () (_ tptp.plus_plus_a @t89))
0.46/0.81	(define @t130 () (_ @t129 @t92))
0.46/0.81	(define @t131 () (@list @t89 @t92))
0.46/0.81	(define @t132 () (_ @t20 tptp.zero_zero_nat))
0.46/0.81	(define @t133 () (_ @t23 @t19))
0.46/0.81	(define @t134 () (@list @t18 @t19))
0.46/0.81	(define @t135 () (_ tptp.size_size_list_nat @t5))
0.46/0.81	(define @t136 () (_ @t50 @t47))
0.46/0.81	(define @t137 () (_ @t12 tptp.nil_a))
0.46/0.81	(define @t138 () (@list @t10))
0.46/0.81	(define @t139 () (_ tptp.ord_less_eq_a tptp.zero_zero_a))
0.46/0.81	(define @t140 () (_ @t139 @t89))
0.46/0.81	(define @t141 () (_ tptp.plus_plus_a @t92))
0.46/0.81	(define @t142 () (_ @t141 @t89))
0.46/0.81	(define @t143 () (@list @t92 @t89))
0.46/0.81	(define @t144 () (_ tptp.append_a @t11))
0.46/0.81	(define @t145 () (@list @t11))
0.46/0.81	(define @t146 () (@var "A1" tptp.list_a))
0.46/0.81	(define @t147 () (@var "A0" tptp.list_a))
0.46/0.81	(define @t148 () (_ (_ @t107 @t147) @t146))
0.46/0.81	(define @t149 () (@var "Va" tptp.list_a))
0.46/0.81	(define @t150 () (@var "V" tptp.a))
0.46/0.81	(define @t151 () (@list @t78))
0.46/0.81	(define @t152 () (forall @t151 (_ @t115 tptp.nil_a)))
0.46/0.81	(define @t153 () (@list @t107 @t147 @t146))
0.46/0.81	(define @t154 () (@var "A2" tptp.list_nat))
0.46/0.81	(define @t155 () (@var "A0" (-> tptp.a tptp.nat)))
0.46/0.81	(define @t156 () (@var "P" (-> (-> tptp.a tptp.nat) tptp.list_a tptp.list_nat Bool)))
0.46/0.81	(define @t157 () (@var "Bs" tptp.list_nat))
0.46/0.81	(define @t158 () (@var "As" tptp.list_a))
0.46/0.81	(define @t159 () (@var "A3" tptp.a))
0.46/0.81	(define @t160 () (_ (_ tptp.cons_a @t159) @t158))
0.46/0.81	(define @t161 () (@var "F" (-> tptp.a tptp.nat)))
0.46/0.81	(define @t162 () (_ @t156 @t161))
0.46/0.81	(define @t163 () (@var "X_1" tptp.list_nat))
0.46/0.81	(define @t164 () (@var "Y2" tptp.nat))
0.46/0.81	(define @t165 () (_ tptp.cons_nat @t164))
0.46/0.81	(define @t166 () (@var "Ys3" tptp.list_nat))
0.46/0.81	(define @t167 () (= @t5 tptp.nil_nat))
0.46/0.81	(define @t168 () (not @t167))
0.46/0.81	(define @t169 () (@list @t5))
0.46/0.81	(define @t170 () (@var "X223" tptp.list_nat))
0.46/0.81	(define @t171 () (@var "X213" tptp.nat))
0.46/0.81	(define @t172 () (@var "Y" tptp.list_nat))
0.46/0.81	(define @t173 () (_ @t54 @t18))
0.46/0.81	(define @t174 () (@var "Zs2" tptp.list_a))
0.46/0.81	(define @t175 () (_ @t110 @t174))
0.46/0.81	(define @t176 () (@list @t75))
0.46/0.81	(define @t177 () (forall @t176 (_ @t73 @t77)))
0.46/0.81	(define @t178 () (@list @t92))
0.46/0.81	(define @t179 () (_ @t94 tptp.zero_zero_a))
0.46/0.81	(define @t180 () (_ @t8 @t45))
0.46/0.81	(define @t181 () (@var "K" tptp.nat))
0.46/0.81	(define @t182 () (_ (_ tptp.replicate_nat @t181) @t45))
0.46/0.81	(define @t183 () (_ tptp.append_nat @t180))
0.46/0.81	(define @t184 () (@var "L" tptp.int))
0.46/0.81	(define @t185 () (@var "J" tptp.int))
0.46/0.81	(define @t186 () (_ (_ tptp.plus_plus_int @t185) @t184))
0.46/0.81	(define @t187 () (@var "K" tptp.int))
0.46/0.81	(define @t188 () (@var "I" tptp.int))
0.46/0.81	(define @t189 () (_ (_ tptp.plus_plus_int @t188) @t187))
0.46/0.81	(define @t190 () (= @t188 @t185))
0.46/0.81	(define @t191 () (= @t187 @t184))
0.46/0.81	(define @t192 () (@list @t188 @t185 @t187 @t184))
0.46/0.81	(define @t193 () (@list @t90 @t92 @t89))
0.46/0.81	(define @t194 () (= @t19 tptp.zero_zero_nat))
0.46/0.81	(define @t195 () (_ tptp.ord_less_eq_nat @t19))
0.46/0.81	(define @t196 () (_ @t195 tptp.zero_zero_nat))
0.46/0.81	(define @t197 () (@list @t19))
0.46/0.81	(define @t198 () (= @t45 tptp.zero_zero_nat))
0.46/0.81	(define @t199 () (= @t44 tptp.zero_zero_nat))
0.46/0.81	(define @t200 () (and @t199 @t198))
0.46/0.81	(define @t201 () (_ (_ tptp.plus_plus_nat @t45) @t44))
0.46/0.81	(define @t202 () (= @t201 tptp.zero_zero_nat))
0.46/0.81	(define @t203 () (@list @t45 @t44))
0.46/0.81	(define @t204 () (@var "Xs3" tptp.list_nat))
0.46/0.81	(define @t205 () (_ @t165 @t204))
0.46/0.81	(define @t206 () (@var "X2" tptp.nat))
0.46/0.81	(define @t207 () (_ tptp.cons_nat @t206))
0.46/0.81	(define @t208 () (_ @t207 @t205))
0.46/0.81	(define @t209 () (@var "X" tptp.list_nat))
0.46/0.81	(define @t210 () (@list @t206 @t164 @t204))
0.46/0.81	(define @t211 () (_ @t207 tptp.nil_nat))
0.46/0.81	(define @t212 () (@list @t206))
0.46/0.81	(define @t213 () (= @t209 tptp.nil_nat))
0.46/0.81	(define @t214 () (not @t213))
0.46/0.81	(define @t215 () (@list @t209))
0.46/0.81	(define @t216 () (_ tptp.ord_less_eq_int tptp.zero_zero_int))
0.46/0.81	(define @t217 () (_ @t216 @t34))
0.46/0.81	(define @t218 () (@list @t36 @t34))
0.46/0.81	(define @t219 () (_ tptp.ord_less_a @t92))
0.46/0.81	(define @t220 () (_ @t219 tptp.zero_zero_a))
0.46/0.81	(define @t221 () (_ @t141 @t92))
0.46/0.81	(define @t222 () (_ tptp.ord_less_int @t36))
0.46/0.81	(define @t223 () (_ @t222 @t34))
0.46/0.81	(define @t224 () (_ @t103 @t33))
0.46/0.81	(define @t225 () (_ tptp.ord_less_int @t224))
0.46/0.81	(define @t226 () (_ @t225 @t102))
0.46/0.81	(define @t227 () (@list @t36 @t33 @t34))
0.46/0.81	(define @t228 () (@var "Ys6" tptp.list_a))
0.46/0.81	(define @t229 () (_ tptp.size_size_list_a @t78))
0.46/0.81	(define @t230 () (@var "P" (-> tptp.list_nat Bool)))
0.46/0.81	(define @t231 () (@var "X23" tptp.list_nat))
0.46/0.81	(define @t232 () (@var "X1" tptp.nat))
0.46/0.81	(define @t233 () (_ @t230 tptp.nil_nat))
0.46/0.81	(define @t234 () (_ tptp.plus_plus_nat @t22))
0.46/0.81	(define @t235 () (_ @t234 @t18))
0.46/0.81	(define @t236 () (_ @t234 @t19))
0.46/0.81	(define @t237 () (_ (_ tptp.ord_less_eq_nat @t236) @t235))
0.46/0.81	(define @t238 () (_ @t195 @t18))
0.46/0.81	(define @t239 () (_ @t52 @t47))
0.46/0.81	(define @t240 () (@list @t47 @t5))
0.46/0.81	(define @t241 () (@var "D" tptp.int))
0.46/0.81	(define @t242 () (_ @t39 @t241))
0.46/0.81	(define @t243 () (@list @t36 @t34 @t33 @t241))
0.46/0.81	(define @t244 () (_ @t99 tptp.zero_zero_int))
0.46/0.81	(define @t245 () (@list @t34 @t36))
0.46/0.81	(define @t246 () (@var "L" tptp.nat))
0.46/0.81	(define @t247 () (@var "J" tptp.nat))
0.46/0.81	(define @t248 () (_ (_ tptp.plus_plus_nat @t247) @t246))
0.46/0.81	(define @t249 () (_ (_ tptp.plus_plus_nat @t68) @t181))
0.46/0.81	(define @t250 () (_ (_ tptp.ord_less_eq_nat @t249) @t248))
0.46/0.81	(define @t251 () (_ (_ tptp.ord_less_eq_nat @t68) @t247))
0.46/0.81	(define @t252 () (= @t181 @t246))
0.46/0.81	(define @t253 () (@list @t68 @t247 @t181 @t246))
0.46/0.81	(define @t254 () (@var "L" tptp.a))
0.46/0.81	(define @t255 () (@var "J" tptp.a))
0.46/0.81	(define @t256 () (@var "K" tptp.a))
0.46/0.81	(define @t257 () (@var "I" tptp.a))
0.46/0.81	(define @t258 () (_ (_ tptp.ord_less_eq_a (_ (_ tptp.plus_plus_a @t257) @t256)) (_ (_ tptp.plus_plus_a @t255) @t254)))
0.46/0.81	(define @t259 () (_ (_ tptp.ord_less_eq_a @t256) @t254))
0.46/0.81	(define @t260 () (@list @t257 @t255 @t256 @t254))
0.46/0.81	(define @t261 () (_ (_ tptp.ord_less_eq_int @t189) @t186))
0.46/0.81	(define @t262 () (_ (_ tptp.ord_less_eq_int @t188) @t185))
0.46/0.81	(define @t263 () (_ @t73 @t147))
0.46/0.81	(define @t264 () (_ @t73 @t112))
0.46/0.81	(define @t265 () (@var "X222" tptp.list_a))
0.46/0.81	(define @t266 () (@var "X212" tptp.a))
0.46/0.81	(define @t267 () (@list @t73 @t147))
0.46/0.81	(define @t268 () (_ @t50 @t5))
0.46/0.81	(define @t269 () (_ @t144 @t59))
0.46/0.81	(define @t270 () (@list @t59 @t11))
0.46/0.81	(define @t271 () (_ tptp.take_a @t181))
0.46/0.81	(define @t272 () (@var "I2" tptp.nat))
0.46/0.81	(define @t273 () (_ tptp.nth_a @t11))
0.46/0.81	(define @t274 () (_ tptp.ord_less_nat @t272))
0.46/0.81	(define @t275 () (@list @t272))
0.46/0.81	(define @t276 () (_ tptp.size_size_list_a @t59))
0.46/0.81	(define @t277 () (_ tptp.ord_less_eq_nat @t181))
0.46/0.81	(define @t278 () (_ tptp.size_size_list_a @t11))
0.46/0.81	(define @t279 () (_ tptp.take_a tptp.zero_zero_nat))
0.46/0.81	(define @t280 () (@var "Y22" tptp.list_a))
0.46/0.81	(define @t281 () (@var "X22" tptp.list_a))
0.46/0.81	(define @t282 () (@var "Y21" tptp.a))
0.46/0.81	(define @t283 () (@var "X21" tptp.a))
0.46/0.81	(define @t284 () (_ (_ tptp.cons_a @t283) @t281))
0.46/0.81	(define @t285 () (@list @t22 @t19 @t18))
0.46/0.81	(define @t286 () (@list @t10 @t11))
0.46/0.81	(define @t287 () (@var "Ss" tptp.list_nat))
0.46/0.81	(define @t288 () (@var "Xs4" tptp.list_nat))
0.46/0.81	(define @t289 () (@var "Ys2" tptp.list_nat))
0.46/0.81	(define @t290 () (@list @t5 @t47))
0.46/0.81	(define @t291 () (_ tptp.ord_less_int tptp.zero_zero_int))
0.46/0.81	(define @t292 () (_ @t291 @t34))
0.46/0.81	(define @t293 () (@var "T" tptp.a))
0.46/0.81	(define @t294 () (@var "X3" tptp.a))
0.46/0.81	(define @t295 () (@var "Z" tptp.a))
0.46/0.81	(define @t296 () (_ (_ tptp.ord_less_a @t294) @t295))
0.46/0.81	(define @t297 () (@list @t294))
0.46/0.81	(define @t298 () (@list @t295))
0.46/0.81	(define @t299 () (@list @t293))
0.46/0.81	(define @t300 () (_ tptp.last_nat @t5))
0.46/0.81	(define @t301 () (_ tptp.last_nat @t239))
0.46/0.81	(define @t302 () (= @t47 tptp.nil_nat))
0.46/0.81	(define @t303 () (=> @t302 (= @t301 @t300)))
0.46/0.81	(define @t304 () (@var "Zs" tptp.list_nat))
0.46/0.81	(define @t305 () (= @t47 @t304))
0.46/0.81	(define @t306 () (@list @t5 @t47 @t304))
0.46/0.81	(define @t307 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat))
0.46/0.81	(define @t308 () (@var "X3" tptp.nat))
0.46/0.81	(define @t309 () (@var "T" tptp.nat))
0.46/0.81	(define @t310 () (@var "Z" tptp.nat))
0.46/0.81	(define @t311 () (_ (_ tptp.ord_less_nat @t308) @t310))
0.46/0.81	(define @t312 () (@list @t308))
0.46/0.81	(define @t313 () (@list @t310))
0.46/0.81	(define @t314 () (@list @t309))
0.46/0.81	(define @t315 () (@list @t7 @t45))
0.46/0.81	(define @t316 () (@var "Zs" tptp.list_a))
0.46/0.81	(define @t317 () (@var "Ys5" tptp.list_a))
0.46/0.81	(define @t318 () (_ (_ tptp.append_a @t317) @t316))
0.46/0.81	(define @t319 () (_ @t12 @t317))
0.46/0.81	(define @t320 () (@list @t317))
0.46/0.81	(define @t321 () (= @t59 tptp.nil_a))
0.46/0.81	(define @t322 () (_ tptp.append_a @t59))
0.46/0.81	(define @t323 () (_ @t322 @t316))
0.46/0.81	(define @t324 () (_ (_ tptp.ord_less_nat @t124) @t7))
0.46/0.81	(define @t325 () (_ (_ tptp.ord_less_eq_nat @t124) @t7))
0.46/0.81	(define @t326 () (@list @t124 @t7))
0.46/0.81	(define @t327 () (@list @t7 @t10))
0.46/0.81	(define @t328 () (@var "A0" tptp.list_nat))
0.46/0.81	(define @t329 () (_ @t230 @t328))
0.46/0.81	(define @t330 () (_ @t207 @t204))
0.46/0.81	(define @t331 () (_ @t230 @t330))
0.46/0.81	(define @t332 () (_ @t230 @t204))
0.46/0.81	(define @t333 () (@var "X222" tptp.list_nat))
0.46/0.81	(define @t334 () (@var "X212" tptp.nat))
0.46/0.81	(define @t335 () (@list @t206 @t204))
0.46/0.81	(define @t336 () (@list @t230 @t328))
0.46/0.81	(define @t337 () (_ tptp.descar1375166517sums_a @t11))
0.46/0.81	(define @t338 () (@var "A" tptp.list_nat))
0.46/0.81	(define @t339 () (_ tptp.append_nat @t338))
0.46/0.81	(define @t340 () (@list @t338))
0.46/0.81	(define @t341 () (_ @t113 @t108))
0.46/0.81	(define @t342 () (@var "X_1" tptp.list_a))
0.46/0.81	(define @t343 () (forall (@list @t342) (_ @t118 @t342)))
0.46/0.81	(define @t344 () (= @t59 @t316))
0.46/0.81	(define @t345 () (_ tptp.append_a @t316))
0.46/0.81	(define @t346 () (@var "D" tptp.a))
0.46/0.81	(define @t347 () (_ tptp.ord_less_eq_a (_ @t141 @t90)))
0.46/0.81	(define @t348 () (_ (_ tptp.ord_less_nat @t249) @t248))
0.46/0.81	(define @t349 () (_ (_ tptp.ord_less_nat @t181) @t246))
0.46/0.81	(define @t350 () (_ @t71 @t247))
0.46/0.81	(define @t351 () (_ @t307 @t18))
0.46/0.81	(define @t352 () (_ tptp.last_a @t269))
0.46/0.81	(define @t353 () (=> (not @t321) (= @t352 (_ tptp.last_a @t59))))
0.46/0.81	(define @t354 () (@var "Xss" tptp.list_list_a))
0.46/0.81	(define @t355 () (@var "X" tptp.list_list_a))
0.46/0.81	(define @t356 () (= @t36 tptp.zero_zero_int))
0.46/0.81	(define @t357 () (_ @t103 @t36))
0.46/0.81	(define @t358 () (_ @t277 @t246))
0.46/0.81	(define @t359 () (_ (_ tptp.ord_less_eq_int @t187) @t184))
0.46/0.81	(define @t360 () (_ tptp.last_nat @t268))
0.46/0.81	(define @t361 () (=> @t167 (= @t360 @t45)))
0.46/0.81	(define @t362 () (=> @t168 (= @t360 @t300)))
0.46/0.81	(define @t363 () (@list @t5 @t45))
0.46/0.81	(define @t364 () (_ tptp.take_a @t7))
0.46/0.81	(define @t365 () (@var "F2" (-> tptp.nat tptp.nat)))
0.46/0.81	(define @t366 () (@var "J2" tptp.nat))
0.46/0.81	(define @t367 () (_ tptp.cons_a tptp.zero_zero_a))
0.46/0.81	(define @t368 () (and @t302 @t167))
0.46/0.81	(define @t369 () (_ (_ tptp.ord_less_int @t38) @t97))
0.46/0.81	(define @t370 () (_ @t207 @t166))
0.46/0.81	(define @t371 () (@list @t206 @t166))
0.46/0.81	(define @t372 () (_ (_ tptp.ord_less_eq_a @t257) @t255))
0.46/0.81	(define @t373 () (=> @t321 (= @t352 @t121)))
0.46/0.81	(define @t374 () (= @t13 @t323))
0.46/0.81	(define @t375 () (= @t105 @t224))
0.46/0.81	(define @t376 () (@var "Q" tptp.nat))
0.46/0.81	(define @t377 () (_ tptp.nth_a tptp.xsa))
0.46/0.81	(define @t378 () (@var "P" (-> tptp.list_nat tptp.list_a Bool)))
0.46/0.81	(define @t379 () (_ @t378 @t330))
0.46/0.81	(define @t380 () (_ @t378 tptp.nil_nat))
0.46/0.81	(define @t381 () (=> (not @t302) (= @t301 (_ tptp.last_nat @t47))))
0.46/0.81	(define @t382 () (= @t92 tptp.zero_zero_a))
0.46/0.81	(define @t383 () (= @t34 tptp.zero_zero_int))
0.46/0.81	(define @t384 () (_ @t377 tptp.p))
0.46/0.81	(define @t385 () (_ tptp.cons_a @t384))
0.46/0.81	(define @t386 () (_ @t385 tptp.xs2))
0.46/0.81	(define @t387 () (_ tptp.descar1375166517sums_a @t386))
0.46/0.81	(define @t388 () (_ (_ tptp.replicate_a tptp.p) tptp.zero_zero_a))
0.46/0.81	(define @t389 () (_ tptp.append_a @t388))
0.46/0.81	(define @t390 () (_ @t389 @t387))
0.46/0.81	(define @t391 () (_ tptp.descar1375166517sums_a tptp.xsa))
0.46/0.81	(define @t392 () (= @t391 @t390))
0.46/0.81	(define @t393 () (not @t392))
0.46/0.81	(define @t394 () (@var "Ts" tptp.list_nat))
0.46/0.81	(define @t395 () (@var "Us" tptp.list_nat))
0.46/0.81	(define @t396 () (_ tptp.append_nat @t395))
0.46/0.81	(define @t397 () (_ tptp.append_nat @t304))
0.46/0.81	(define @t398 () (@var "D" tptp.nat))
0.46/0.81	(define @t399 () (_ @t23 @t398))
0.46/0.81	(define @t400 () (_ tptp.ord_less_eq_nat @t26))
0.46/0.81	(define @t401 () (@list @t19 @t18 @t22 @t398))
0.46/0.81	(define @t402 () (_ @t69 tptp.zero_zero_a))
0.46/0.81	(define @t403 () (_ tptp.append_a @t402))
0.46/0.81	(define @t404 () (_ @t403 @t337))
0.46/0.81	(define @t405 () (_ @t403 @t11))
0.46/0.81	(define @t406 () (_ tptp.descar1375166517sums_a @t405))
0.46/0.81	(define @t407 () (= @t406 @t404))
0.46/0.81	(define @t408 () (@list @t7 @t11))
0.46/0.81	(define @t409 () (forall @t408 @t407))
0.46/0.81	(define @t410 () (_ @t222 tptp.zero_zero_int))
0.46/0.81	(define @t411 () (@list @t33 @t36 @t34))
0.46/0.81	(define @t412 () (_ tptp.append_nat tptp.nil_nat))
0.46/0.81	(define @t413 () (_ (_ tptp.ord_less_int @t189) @t186))
0.46/0.81	(define @t414 () (_ (_ tptp.ord_less_int @t187) @t184))
0.46/0.81	(define @t415 () (@var "Ys4" tptp.list_a))
0.46/0.81	(define @t416 () (@var "Y3" tptp.a))
0.46/0.81	(define @t417 () (_ @t49 @t304))
0.46/0.81	(define @t418 () (= @t268 @t417))
0.46/0.81	(define @t419 () (@var "Xs1" tptp.list_nat))
0.46/0.81	(define @t420 () (_ tptp.append_nat @t419))
0.46/0.81	(define @t421 () (_ tptp.size_size_list_nat @t47))
0.46/0.81	(define @t422 () (_ (_ tptp.ord_less_nat @t236) @t235))
0.46/0.81	(define @t423 () (_ @t12 @t59))
0.46/0.81	(define @t424 () (_ tptp.append_a @t70))
0.46/0.81	(define @t425 () (_ tptp.ord_less_a tptp.zero_zero_a))
0.46/0.81	(define @t426 () (= @t278 @t276))
0.46/0.81	(define @t427 () (_ @t110 @t78))
0.46/0.81	(define @t428 () (_ @t76 @t427))
0.46/0.81	(define @t429 () (@var "X" tptp.list_a))
0.46/0.81	(define @t430 () (@list @t75 @t109 @t78))
0.46/0.81	(define @t431 () (= @t429 tptp.nil_a))
0.46/0.81	(define @t432 () (not @t431))
0.46/0.81	(define @t433 () (@list @t429))
0.46/0.81	(define @t434 () (_ @t347 (_ @t129 @t90)))
0.46/0.81	(define @t435 () (@list @t92 @t90 @t89))
0.46/0.81	(define @t436 () (@var "X" tptp.int))
0.46/0.81	(define @t437 () (@var "Y" tptp.int))
0.46/0.81	(define @t438 () (= (= (_ (_ tptp.plus_plus_int @t436) @t437) tptp.zero_zero_int) (and (= @t437 tptp.zero_zero_int) (= @t436 tptp.zero_zero_int))))
0.46/0.81	(define @t439 () (@list @t436 @t437))
0.46/0.81	(define @t440 () (@var "Vs" tptp.list_nat))
0.46/0.81	(define @t441 () (@var "Us2" tptp.list_nat))
0.46/0.81	(define @t442 () (_ @t230 @t5))
0.46/0.81	(define @t443 () (=> @t332 (_ @t230 (_ (_ tptp.append_nat @t204) @t211))))
0.46/0.81	(define @t444 () (@list @t230 @t5))
0.46/0.81	(define @t445 () (@var "A2" tptp.list_a))
0.46/0.81	(define @t446 () (@var "A1" tptp.list_nat))
0.46/0.81	(define @t447 () (@var "A0" (-> tptp.nat tptp.a)))
0.46/0.81	(define @t448 () (@var "P" (-> (-> tptp.nat tptp.a) tptp.list_nat tptp.list_a Bool)))
0.46/0.81	(define @t449 () (@var "Bs" tptp.list_a))
0.46/0.81	(define @t450 () (@var "As" tptp.list_nat))
0.46/0.81	(define @t451 () (@var "A3" tptp.nat))
0.46/0.81	(define @t452 () (_ (_ tptp.cons_nat @t451) @t450))
0.46/0.81	(define @t453 () (@var "F" (-> tptp.nat tptp.a)))
0.46/0.81	(define @t454 () (_ @t448 @t453))
0.46/0.81	(define @t455 () (@var "Ss" tptp.list_a))
0.46/0.81	(define @t456 () (@var "Xs4" tptp.list_a))
0.46/0.81	(define @t457 () (@var "Ys2" tptp.list_a))
0.46/0.81	(define @t458 () (= tptp.xsa (_ (_ tptp.append_a tptp.xs1) @t386)))
0.46/0.81	(define @t459 () (@var "Xss" tptp.list_list_nat))
0.46/0.81	(define @t460 () (@var "X" tptp.list_list_nat))
0.46/0.81	(define @t461 () (_ @t307 @t45))
0.46/0.81	(define @t462 () (@list @t45))
0.46/0.81	(define @t463 () (@list @t66))
0.46/0.81	(define @t464 () (_ tptp.ord_less_eq_int @t224))
0.46/0.81	(define @t465 () (_ @t464 @t102))
0.46/0.81	(define @t466 () (@var "A0" (-> tptp.nat tptp.nat)))
0.46/0.81	(define @t467 () (@var "P" (-> (-> tptp.nat tptp.nat) tptp.list_nat tptp.list_nat Bool)))
0.46/0.81	(define @t468 () (@var "F" (-> tptp.nat tptp.nat)))
0.46/0.81	(define @t469 () (_ @t467 @t468))
0.46/0.81	(define @t470 () (@var "K2" tptp.nat))
0.46/0.81	(define @t471 () (@var "P" (-> tptp.nat Bool)))
0.46/0.81	(define @t472 () (@var "I3" tptp.nat))
0.46/0.81	(define @t473 () (@var "Zs2" tptp.list_nat))
0.46/0.81	(define @t474 () (_ @t165 @t473))
0.46/0.81	(define @t475 () (forall @t212 (_ @t230 @t211)))
0.46/0.81	(define @t476 () (_ @t425 @t89))
0.46/0.81	(define @t477 () (_ tptp.cons_nat tptp.zero_zero_nat))
0.46/0.81	(define @t478 () (@var "A0" (-> tptp.nat tptp.nat Bool)))
0.46/0.81	(define @t479 () (@var "P" (-> (-> tptp.nat tptp.nat Bool) tptp.list_nat Bool)))
0.46/0.81	(define @t480 () (_ (_ @t479 @t478) @t446))
0.46/0.81	(define @t481 () (@var "P2" (-> tptp.nat tptp.nat Bool)))
0.46/0.81	(define @t482 () (_ @t479 @t481))
0.46/0.81	(define @t483 () (forall (@list @t481) (_ @t482 tptp.nil_nat)))
0.46/0.81	(define @t484 () (@list @t479 @t478 @t446))
0.46/0.81	(define @t485 () (and @t321 @t15))
0.46/0.81	(define @t486 () (@var "List" tptp.list_a))
0.46/0.81	(define @t487 () (_ @t144 @t137))
0.46/0.81	(define @t488 () (@var "P" (-> tptp.list_nat tptp.list_nat Bool)))
0.46/0.81	(define @t489 () (_ (_ @t488 @t328) @t446))
0.46/0.81	(define @t490 () (_ @t488 @t330))
0.46/0.81	(define @t491 () (_ @t490 @t166))
0.46/0.81	(define @t492 () (_ @t488 tptp.nil_nat))
0.46/0.81	(define @t493 () (forall (@list @t163) (_ @t492 @t163)))
0.46/0.81	(define @t494 () (@list @t488 @t328 @t446))
0.46/0.81	(define @t495 () (_ tptp.ord_less_eq_nat @t278))
0.46/0.81	(define @t496 () (_ tptp.ord_less_eq_nat @t45))
0.46/0.81	(define @t497 () (@var "C" tptp.list_nat))
0.46/0.81	(define @t498 () (@var "B" tptp.list_nat))
0.46/0.81	(define @t499 () (_ @t412 @t47))
0.46/0.81	(define @t500 () (_ @t400 @t24))
0.46/0.81	(define @t501 () (= @t68 @t247))
0.46/0.81	(define @t502 () (_ @t76 @t108))
0.46/0.81	(define @t503 () (@list @t75 @t108))
0.46/0.81	(define @t504 () (@var "A0" (-> tptp.a tptp.a)))
0.46/0.81	(define @t505 () (@var "P" (-> (-> tptp.a tptp.a) tptp.list_a tptp.list_a Bool)))
0.46/0.81	(define @t506 () (@var "F" (-> tptp.a tptp.a)))
0.46/0.81	(define @t507 () (_ @t505 @t506))
0.46/0.81	(define @t508 () (_ @t165 @t166))
0.46/0.81	(define @t509 () (_ @t490 @t508))
0.46/0.81	(define @t510 () (_ @t488 @t204))
0.46/0.81	(define @t511 () (@list @t206 @t204 @t164 @t166))
0.46/0.81	(define @t512 () (forall (@list @t204) (_ @t510 tptp.nil_nat)))
0.46/0.81	(define @t513 () (_ (_ tptp.replicate_a @t181) @t10))
0.46/0.81	(define @t514 () (not (= @t78 tptp.nil_a)))
0.46/0.81	(define @t515 () (@list @t11 @t73))
0.46/0.81	(define @t516 () (@var "P" (-> tptp.list_a tptp.list_nat Bool)))
0.46/0.81	(define @t517 () (_ @t516 @t112))
0.46/0.81	(define @t518 () (_ @t516 tptp.nil_a))
0.46/0.81	(define @t519 () (@list @t164 @t166))
0.46/0.81	(define @t520 () (_ @t364 @t11))
0.46/0.81	(define @t521 () (= @t520 @t11))
0.46/0.81	(define @t522 () (_ @t495 @t7))
0.46/0.81	(define @t523 () (@var "N2" tptp.nat))
0.46/0.81	(define @t524 () (@var "M2" tptp.nat))
0.46/0.81	(define @t525 () (= @t524 @t523))
0.46/0.81	(define @t526 () (@list @t524 @t523))
0.46/0.81	(define @t527 () (@var "X23" tptp.list_a))
0.46/0.81	(define @t528 () (@var "X1" tptp.a))
0.46/0.81	(define @t529 () (@var "X223" tptp.list_a))
0.46/0.81	(define @t530 () (@var "X213" tptp.a))
0.46/0.81	(define @t531 () (@var "Y" tptp.list_a))
0.46/0.81	(define @t532 () (@var "Ys5" tptp.list_nat))
0.46/0.81	(define @t533 () (_ (_ tptp.append_nat @t532) @t304))
0.46/0.81	(define @t534 () (_ @t50 @t532))
0.46/0.81	(define @t535 () (@list @t532))
0.46/0.81	(define @t536 () (= @t75 @t109))
0.46/0.81	(define @t537 () (_ (_ tptp.replicate_nat @t68) @t45))
0.46/0.81	(define @t538 () (@var "A5" tptp.int))
0.46/0.81	(define @t539 () (@var "B3" tptp.int))
0.46/0.81	(define @t540 () (_ (_ tptp.ord_less_int @t188) @t185))
0.46/0.81	(define @t541 () (@var "A0" (-> tptp.a tptp.a Bool)))
0.46/0.81	(define @t542 () (@var "P" (-> (-> tptp.a tptp.a Bool) tptp.list_a Bool)))
0.46/0.81	(define @t543 () (_ (_ @t542 @t541) @t146))
0.46/0.81	(define @t544 () (@var "P2" (-> tptp.a tptp.a Bool)))
0.46/0.81	(define @t545 () (_ @t542 @t544))
0.46/0.81	(define @t546 () (forall (@list @t544) (_ @t545 tptp.nil_a)))
0.46/0.81	(define @t547 () (@list @t542 @t541 @t146))
0.46/0.81	(define @t548 () (_ tptp.take_a @t272))
0.46/0.81	(define @t549 () (@var "Us2" tptp.list_a))
0.46/0.81	(define @t550 () (@var "Xs1" tptp.list_a))
0.46/0.81	(define @t551 () (_ tptp.append_a @t550))
0.46/0.81	(define @t552 () (@var "Y21" tptp.nat))
0.46/0.81	(define @t553 () (@var "Y22" tptp.list_nat))
0.46/0.81	(define @t554 () (not (= @t204 tptp.nil_nat)))
0.46/0.81	(define @t555 () (@list @t5 @t230))
0.46/0.81	(define @t556 () (= @t206 @t164))
0.46/0.81	(define @t557 () (@var "Ys4" tptp.list_nat))
0.46/0.81	(define @t558 () (@var "Y3" tptp.nat))
0.46/0.81	(define @t559 () (_ (_ tptp.replicate_a @t68) @t10))
0.46/0.81	(define @t560 () (forall @t511 (=> (_ @t510 @t166) @t509)))
0.46/0.81	(define @t561 () (@var "Ts" tptp.list_a))
0.46/0.81	(define @t562 () (@var "Us" tptp.list_a))
0.46/0.81	(define @t563 () (_ tptp.append_a @t562))
0.46/0.81	(define @t564 () (_ tptp.plus_plus_int @t187))
0.46/0.81	(define @t565 () (_ @t564 @t105))
0.46/0.81	(define @t566 () (@var "B2" tptp.int))
0.46/0.81	(define @t567 () (@var "C3" tptp.nat))
0.46/0.81	(define @t568 () (@var "Va" tptp.list_nat))
0.46/0.81	(define @t569 () (@var "V" tptp.nat))
0.46/0.81	(define @t570 () (@list @t45 @t5))
0.46/0.81	(define @t571 () (@list @t11 @t59 @t316))
0.46/0.81	(define @t572 () (@var "Xs5" tptp.list_a))
0.46/0.81	(define @t573 () (_ tptp.append_a @t572))
0.46/0.81	(define @t574 () (@var "A4" tptp.int))
0.46/0.81	(define @t575 () (@var "Vs" tptp.list_a))
0.46/0.81	(define @t576 () (= @t202 (and @t198 @t199)))
0.46/0.81	(define @t577 () (@var "C2" tptp.nat))
0.46/0.81	(define @t578 () (@var "A5" tptp.nat))
0.46/0.81	(define @t579 () (@var "B3" tptp.nat))
0.46/0.81	(define @t580 () (lambda (@list @t578 @t579) (exists (@list @t577) (= @t579 (_ (_ tptp.plus_plus_nat @t578) @t577)))))
0.46/0.81	(define @t581 () (lambda @t526 (and (not @t525) (_ (_ tptp.ord_less_eq_nat @t524) @t523))))
0.46/0.81	(define @t582 () (tptp.descar1375166517sums_a @t11))
0.46/0.81	(define @t583 () (tptp.replicate_a @t7 tptp.zero_zero_a))
0.46/0.81	(define @t584 () (tptp.append_a @t583 @t582))
0.46/0.81	(define @t585 () (_ tptp.append_a @t583))
0.46/0.81	(define @t586 () (tptp.append_a @t583 @t11))
0.46/0.81	(define @t587 () (tptp.descar1375166517sums_a @t586))
0.46/0.81	(define @t588 () (tptp.descar1375166517sums_a tptp.xsa))
0.46/0.81	(define @t589 () (tptp.nth_a tptp.xsa tptp.p))
0.46/0.81	(define @t590 () (tptp.cons_a @t589 tptp.xs2))
0.46/0.81	(define @t591 () (tptp.descar1375166517sums_a @t590))
0.46/0.81	(define @t592 () (tptp.replicate_a tptp.p tptp.zero_zero_a))
0.46/0.81	(define @t593 () (tptp.append_a @t592 @t591))
0.46/0.81	(define @t594 () (_ tptp.append_a @t592))
0.46/0.81	(define @t595 () (tptp.append_a @t592 @t590))
0.46/0.81	(define @t596 () (_ @t389 @t386))
0.46/0.81	(define @t597 () (tptp.descar1375166517sums_a @t595))
0.46/0.81	(define @t598 () (= @t593 @t597))
0.46/0.81	(define @t599 () (forall @t408 (= @t587 @t584)))
0.46/0.81	(define @t600 () (= @t597 @t593))
0.46/0.81	(assume @p1 (forall (@list @t1 @t3 @t2) (=> (= @t1 @t4) (not (= @t1 tptp.nil_nat)))))
0.46/0.81	(assume @p2 (forall (@list @t7 @t5) (= (_ tptp.descar226543321ms_nat (_ @t9 @t5)) (_ @t9 @t6))))
0.46/0.81	(assume @p3 (forall @t17 @t16))
0.46/0.81	(assume @p4 (forall @t29 (=> @t28 @t21)))
0.46/0.81	(assume @p5 (forall @t32 (= (= @t19 @t31) @t30)))
0.46/0.81	(assume @p6 (forall @t42 (= @t41 @t35)))
0.46/0.81	(assume @p7 (forall @t43 (=> @t21 @t28)))
0.46/0.81	(assume @p8 (forall (@list @t5 @t45 @t47 @t44) (= (= @t53 (_ @t49 (_ (_ tptp.cons_nat @t44) tptp.nil_nat))) (and @t48 @t46))))
0.46/0.81	(assume @p9 (forall @t58 (= @t57 @t55)))
0.46/0.81	(assume @p10 (forall @t63 (=> @t62 (= @t11 @t61))))
0.46/0.81	(assume @p11 (forall (@list @t66 @t65 @t64) (= (_ (_ tptp.append_a (_ @t67 @t65)) @t64) (_ @t67 (_ (_ tptp.append_a @t65) @t64)))))
0.46/0.81	(assume @p12 (forall (@list @t68 @t7 @t10) (=> @t72 (= (_ (_ tptp.nth_a @t70) @t68) @t10))))
0.46/0.81	(assume @p13 (forall @t83 (=> @t82 (=> (forall @t81 @t80) @t74))))
0.46/0.81	(assume @p14 (forall @t88 (=> (_ @t87 tptp.zero_zero_a) (=> (_ (_ tptp.ord_less_eq_a @t84) tptp.zero_zero_a) @t86))))
0.46/0.81	(assume @p15 (forall @t96 (=> @t95 @t93)))
0.46/0.81	(assume @p16 (forall @t101 (=> @t100 @t98)))
0.46/0.81	(assume @p17 (forall @t101 (= (_ (_ tptp.plus_plus_int @t105) @t33) @t104)))
0.46/0.81	(assume @p18 (forall @t106 (= (_ @t103 tptp.zero_zero_int) @t36)))
0.46/0.81	(assume @p19 (forall (@list @t107 @t11 @t59) (=> (_ @t118 tptp.nil_a) (=> (forall @t81 (_ @t113 tptp.nil_a)) (=> @t120 (=> @t117 (_ (_ @t107 @t11) @t59)))))))
0.46/0.81	(assume @p20 (forall @t17 (and @t123 @t16)))
0.46/0.81	(assume @p21 (forall (@list @t124 @t10 @t7 @t84) (= (= (_ (_ tptp.replicate_a @t124) @t10) (_ @t69 @t84)) (and (=> @t127 @t126) @t125))))
0.46/0.81	(assume @p22 (forall @t131 (= (= @t130 @t92) @t128)))
0.46/0.81	(assume @p23 (forall @t134 (= (_ (_ tptp.ord_less_nat @t133) @t18) @t132)))
0.46/0.81	(assume @p24 (forall (@list @t5 @t45 @t47) (= (_ (_ tptp.nth_nat (_ @t52 @t136)) @t135) @t45)))
0.46/0.81	(assume @p25 (forall @t138 (= (_ tptp.descar1375166517sums_a @t137) @t137)))
0.46/0.81	(assume @p26 (forall @t143 (= (_ @t94 @t142) @t140)))
0.46/0.81	(assume @p27 (forall @t145 (= (_ @t144 tptp.nil_a) @t11)))
0.46/0.81	(assume @p28 (forall @t153 (=> @t152 (=> (forall (@list @t150 @t149) (_ @t118 (_ (_ tptp.cons_a @t150) @t149))) (=> @t117 @t148)))))
0.46/0.81	(assume @p29 (forall (@list @t156 @t155 @t146 @t154) (=> (forall (@list @t161 @t163) (_ (_ @t162 tptp.nil_a) @t163)) (=> (forall (@list @t161 @t159 @t158 @t157) (=> (_ (_ @t162 @t158) (_ (_ tptp.cons_nat (_ @t161 @t159)) @t157)) (_ (_ @t162 @t160) @t157))) (_ (_ (_ @t156 @t155) @t146) @t154)))))
0.46/0.81	(assume @p30 (forall @t169 (=> @t168 (not (forall (@list @t166 @t164) (not (= @t5 (_ (_ tptp.append_nat @t166) (_ @t165 tptp.nil_nat)))))))))
0.46/0.81	(assume @p31 (forall (@list @t172) (=> (not (= @t172 tptp.nil_nat)) (not (forall (@list @t171 @t170) (not (= @t172 (_ (_ tptp.cons_nat @t171) @t170))))))))
0.46/0.81	(assume @p32 (forall @t32 (= (_ @t20 @t31) @t173)))
0.46/0.81	(assume @p33 (forall @t83 (=> @t82 (=> @t177 (=> (forall (@list @t75 @t109 @t174) (=> (_ @t73 @t174) (=> (_ @t73 @t175) (_ @t73 (_ @t76 @t175))))) @t74)))))
0.46/0.81	(assume @p34 (forall @t178 (= (_ (_ tptp.plus_plus_a tptp.zero_zero_a) @t92) @t92)))
0.46/0.81	(assume @p35 (forall @t131 (= (_ (_ tptp.ord_less_eq_a @t130) @t89) @t179)))
0.46/0.81	(assume @p36 (forall (@list @t7 @t45 @t181) (= (_ @t183 @t182) (_ (_ tptp.append_nat @t182) @t180))))
0.46/0.81	(assume @p37 (forall @t192 (=> (and @t191 @t190) (= @t189 @t186))))
0.46/0.81	(assume @p38 (forall @t143 (= (= @t92 @t142) @t128)))
0.46/0.81	(assume @p39 (forall @t193 (=> @t93 @t95)))
0.46/0.81	(assume @p40 (forall @t197 (= @t196 @t194)))
0.46/0.81	(assume @p41 (forall @t203 (= @t202 @t200)))
0.46/0.81	(assume @p42 (forall @t215 (=> @t214 (=> (forall @t212 (not (= @t209 @t211))) (not (forall @t210 (not (= @t209 @t208))))))))
0.46/0.81	(assume @p43 (forall @t58 (not (_ (_ tptp.ord_less_nat @t7) tptp.zero_zero_nat))))
0.46/0.81	(assume @p44 (forall @t197 (=> @t196 @t194)))
0.46/0.81	(assume @p45 (forall @t218 (= (_ @t99 @t105) @t217)))
0.46/0.81	(assume @p46 (forall @t178 (= (_ (_ tptp.ord_less_a @t221) tptp.zero_zero_a) @t220)))
0.46/0.81	(assume @p47 (forall @t227 (=> @t226 @t223)))
0.46/0.81	(assume @p48 (forall @t83 (=> (forall @t151 (=> (forall (@list @t228) (=> (_ (_ tptp.ord_less_nat (_ tptp.size_size_list_a @t228)) @t229) (_ @t73 @t228))) @t79)) @t74)))
0.46/0.81	(assume @p49 (forall (@list @t230 @t1) (=> @t233 (=> (forall (@list @t232 @t231) (=> (_ @t230 @t231) (_ @t230 (_ (_ tptp.cons_nat @t232) @t231)))) (_ @t230 @t1)))))
0.46/0.81	(assume @p50 (forall @t43 (=> @t238 @t237)))
0.46/0.81	(assume @p51 (forall @t240 (= (= @t47 @t239) @t167)))
0.46/0.81	(assume @p52 (forall @t243 (=> @t223 (=> (_ (_ tptp.ord_less_int @t33) @t241) (_ @t225 @t242)))))
0.46/0.81	(assume @p53 (forall @t245 (= (_ (_ tptp.ord_less_eq_int @t40) @t34) @t244)))
0.46/0.81	(assume @p54 (forall @t253 (=> (and @t252 @t251) @t250)))
0.46/0.81	(assume @p55 (forall @t131 (= (_ (_ tptp.ord_less_a @t130) @t89) @t220)))
0.46/0.81	(assume @p56 (forall @t260 (=> (and @t259 (= @t257 @t255)) @t258)))
0.46/0.81	(assume @p57 (forall @t58 (exists @t151 (= @t229 @t7))))
0.46/0.81	(assume @p58 (forall @t178 (= (_ @t141 tptp.zero_zero_a) @t92)))
0.46/0.81	(assume @p59 (forall @t42 (= (_ @t39 @t224) @t104)))
0.46/0.81	(assume @p60 (forall @t192 (=> (and @t191 @t262) @t261)))
0.46/0.81	(assume @p61 (forall @t267 (=> (forall @t81 (=> (forall (@list @t266 @t265) (=> (= @t78 (_ (_ tptp.cons_a @t266) @t265)) @t79)) @t264)) (=> @t82 @t263))))
0.46/0.81	(assume @p62 (forall (@list @t45 @t5 @t47) (= (_ (_ tptp.append_nat @t268) @t47) (_ @t50 @t239))))
0.46/0.81	(assume @p63 (= (_ tptp.size_size_list_a tptp.nil_a) tptp.zero_zero_nat))
0.46/0.81	(assume @p64 (forall @t270 (= (= @t59 @t269) @t15)))
0.46/0.81	(assume @p65 (forall (@list @t181 @t11 @t59) (=> (_ @t277 @t278) (=> (_ @t277 @t276) (=> (forall @t275 (=> (_ @t274 @t181) (= (_ @t273 @t272) (_ (_ tptp.nth_a @t59) @t272)))) (= (_ @t271 @t11) (_ @t271 @t59)))))))
0.46/0.81	(assume @p66 (= @t279 (lambda (@list (@var "Xs2" tptp.list_a)) tptp.nil_a)))
0.46/0.81	(assume @p67 (forall (@list @t283 @t281 @t282 @t280) (= (= @t284 (_ (_ tptp.cons_a @t282) @t280)) (and (= @t283 @t282) (= @t281 @t280)))))
0.46/0.81	(assume @p68 (forall @t285 (= @t237 @t238)))
0.46/0.81	(assume @p69 (forall @t286 (= (_ (_ tptp.nth_a @t13) tptp.zero_zero_nat) @t10)))
0.46/0.81	(assume @p70 (forall @t290 (exists (@list @t287 @t288 @t289) (and (or (= @t289 tptp.nil_nat) (not (= (_ tptp.last_nat @t288) (_ tptp.last_nat @t289))) (= @t288 tptp.nil_nat)) (= @t47 (_ (_ tptp.append_nat @t289) @t287)) (= @t5 (_ (_ tptp.append_nat @t288) @t287))))))
0.46/0.81	(assume @p71 (forall @t218 (= (_ @t222 @t40) @t292)))
0.46/0.81	(assume @p72 (forall @t32 (= (_ (_ tptp.ord_less_eq_nat @t31) @t18) @t196)))
0.46/0.81	(assume @p73 (forall @t299 (exists @t298 (forall @t297 (=> @t296 (_ (_ tptp.ord_less_eq_a @t294) @t293))))))
0.46/0.81	(assume @p74 (forall @t240 @t303))
0.46/0.81	(assume @p75 (forall @t42 (=> @t41 @t35)))
0.46/0.81	(assume @p76 (forall (@list @t7 @t45 @t5) (= (_ @t183 @t268) (_ @t50 (_ @t183 @t5)))))
0.46/0.81	(assume @p77 (not (= tptp.xsa tptp.nil_a)))
0.46/0.81	(assume @p78 (forall @t306 (= (= @t239 (_ @t52 @t304)) @t305)))
0.46/0.81	(assume @p79 (forall (@list @t10 @t11 @t59) (= (_ (_ tptp.append_a @t13) @t59) (_ @t12 @t269))))
0.46/0.81	(assume @p80 (forall @t58 (_ @t307 @t7)))
0.46/0.81	(assume @p81 (forall (@list @t124 @t45 @t7 @t44) (= (= (_ (_ tptp.replicate_nat @t124) @t45) (_ @t8 @t44)) (and (=> @t127 @t46) @t125))))
0.46/0.81	(assume @p82 (forall @t314 (exists @t313 (forall @t312 (=> @t311 (not (_ (_ tptp.ord_less_eq_nat @t309) @t308)))))))
0.46/0.81	(assume @p83 (forall @t143 (= (= @t92 @t130) @t128)))
0.46/0.81	(assume @p84 (forall @t315 (= (= tptp.nil_nat @t180) @t56)))
0.46/0.81	(assume @p85 (forall (@list @t59 @t316 @t10 @t11) (= (= @t323 @t13) (or (and (= @t316 @t13) @t321) (exists @t320 (and (= @t59 @t319) (= @t318 @t11)))))))
0.46/0.81	(assume @p86 (forall @t326 (=> @t325 (=> (not @t125) @t324))))
0.46/0.81	(assume @p87 (forall @t32 (= (_ @t20 @t133) @t173)))
0.46/0.81	(assume @p88 (= (_ tptp.descar226543321ms_nat tptp.nil_nat) tptp.nil_nat))
0.46/0.81	(assume @p89 (forall @t327 (=> @t57 (= (_ tptp.last_a @t70) @t10))))
0.46/0.81	(assume @p90 (forall @t193 (= @t93 @t95)))
0.46/0.81	(assume @p91 (forall @t336 (=> (forall @t335 (=> (forall (@list @t334 @t333) (=> (= @t204 (_ (_ tptp.cons_nat @t334) @t333)) @t332)) @t331)) (=> @t233 @t329))))
0.46/0.81	(assume @p92 (forall @t145 (= (_ tptp.size_size_list_a @t337) @t278)))
0.46/0.81	(assume @p93 (forall @t340 (= (_ @t339 tptp.nil_nat) @t338)))
0.46/0.81	(assume @p94 (forall @t153 (=> @t343 (=> (forall (@list @t75 @t78 @t108) (=> (_ (_ @t107 @t108) @t78) @t341)) @t148))))
0.46/0.81	(assume @p95 (forall @t153 (=> @t117 (=> @t152 (=> @t120 @t148)))))
0.46/0.81	(assume @p96 (forall (@list @t59 @t11 @t316) (= (= (_ @t322 @t11) (_ @t345 @t11)) @t344)))
0.46/0.81	(assume @p97 (forall (@list @t92 @t89 @t90 @t346) (=> @t95 (=> (_ (_ tptp.ord_less_eq_a @t90) @t346) (_ @t347 (_ @t129 @t346))))))
0.46/0.81	(assume @p98 (forall @t253 (=> (and @t350 @t349) @t348)))
0.46/0.81	(assume @p99 (forall @t326 (=> @t324 @t325)))
0.46/0.81	(assume @p100 (forall @t32 (= (_ @t195 @t31) @t351)))
0.46/0.81	(assume @p101 (forall @t315 (=> @t57 (= (_ tptp.last_nat @t180) @t45))))
0.46/0.81	(assume @p102 (forall @t270 @t353))
0.46/0.81	(assume @p103 (forall (@list @t355) (=> (not (= @t355 tptp.nil_list_a)) (=> (forall (@list @t354) (not (= @t355 (_ (_ tptp.cons_list_a tptp.nil_a) @t354)))) (not (forall (@list @t75 @t78 @t354) (not (= @t355 (_ (_ tptp.cons_list_a @t112) @t354)))))))))
0.46/0.81	(assume @p104 (forall @t106 (= (= @t357 tptp.zero_zero_int) @t356)))
0.46/0.81	(assume @p105 (forall @t253 (=> (and @t251 @t358) @t250)))
0.46/0.81	(assume @p106 (forall @t192 (=> (and @t359 @t190) @t261)))
0.46/0.81	(assume @p107 (forall @t363 (and @t362 @t361)))
0.46/0.81	(assume @p108 (forall @t58 (= (_ @t364 tptp.nil_a) tptp.nil_a)))
0.46/0.81	(assume @p109 (forall @t197 (= (_ (_ tptp.plus_plus_nat tptp.zero_zero_nat) @t19) @t19)))
0.46/0.81	(assume @p110 (forall @t138 (_ @t87 @t10)))
0.46/0.81	(assume @p111 (forall (@list @t365 @t68 @t247) (=> (forall (@list @t272 @t366) (=> (_ @t274 @t366) (_ (_ tptp.ord_less_nat (_ @t365 @t272)) (_ @t365 @t366)))) (=> @t251 (_ (_ tptp.ord_less_eq_nat (_ @t365 @t68)) (_ @t365 @t247))))))
0.46/0.81	(assume @p112 (forall @t145 (= (_ tptp.descar1375166517sums_a (_ @t367 @t11)) (_ @t367 @t337))))
0.46/0.81	(assume @p113 (forall @t290 (= (= @t239 tptp.nil_nat) @t368)))
0.46/0.81	(assume @p114 (forall @t143 (= (_ (_ tptp.ord_less_a @t142) @t89) @t220)))
0.46/0.81	(assume @p115 (forall @t197 (_ @t307 @t19)))
0.46/0.81	(assume @p116 (forall @t101 (=> @t223 @t369)))
0.46/0.81	(assume @p117 (forall @t58 (=> @t57 @t55)))
0.46/0.81	(assume @p118 (forall @t215 (=> @t214 (not (forall @t371 (not (= @t209 @t370)))))))
0.46/0.81	(assume @p119 (forall @t260 (=> (and @t259 @t372) @t258)))
0.46/0.81	(assume @p120 (forall @t270 (and @t353 @t373)))
0.46/0.81	(assume @p121 (forall @t32 (= (= @t19 @t133) @t30)))
0.46/0.81	(assume @p122 (forall @t63 (= (= @t11 @t269) @t321)))
0.46/0.81	(assume @p123 (forall (@list @t10 @t11 @t59 @t316) (= @t374 (or (and @t321 (= @t13 @t316)) (exists @t320 (and (= @t319 @t59) (= @t11 @t318)))))))
0.46/0.81	(assume @p124 (forall @t327 (= (= tptp.nil_a @t70) @t56)))
0.46/0.81	(assume @p125 (forall @t101 (=> @t375 @t35)))
0.46/0.81	(assume @p126 (forall (@list @t376) (=> (_ (_ tptp.ord_less_nat @t376) tptp.p) (= (_ @t377 @t376) tptp.zero_zero_a))))
0.46/0.81	(assume @p127 (forall (@list @t378 @t5 @t59) (=> (_ @t380 tptp.nil_a) (=> (forall @t335 (_ @t379 tptp.nil_a)) (=> (forall @t119 (_ @t380 @t111)) (=> (forall (@list @t206 @t204 @t109 @t108) (=> (_ (_ @t378 @t204) @t108) (_ @t379 @t111))) (_ (_ @t378 @t5) @t59)))))))
0.46/0.81	(assume @p128 (forall @t240 (and @t303 @t381)))
0.46/0.81	(assume @p129 (forall @t63 (= (= @t269 @t59) @t15)))
0.46/0.81	(assume @p130 (forall @t178 (= (= tptp.zero_zero_a @t221) @t382)))
0.46/0.81	(assume @p131 (forall @t153 (=> @t343 (=> @t152 (=> (forall @t116 (=> (_ @t115 @t111) (=> @t341 @t114))) @t148)))))
0.46/0.81	(assume @p132 (forall @t245 (= (= @t40 @t36) @t383)))
0.46/0.81	(assume @p133 @t393)
0.46/0.81	(assume @p134 (forall (@list @t5 @t47 @t304 @t394) (= (= @t239 (_ @t397 @t394)) (exists (@list @t395) (or (and (= @t5 (_ @t397 @t395)) (= (_ @t396 @t47) @t394)) (and (= (_ @t52 @t395) @t304) (= @t47 (_ @t396 @t394))))))))
0.46/0.81	(assume @p135 (forall @t401 (=> @t238 (=> (_ (_ tptp.ord_less_eq_nat @t22) @t398) (_ @t400 @t399)))))
0.46/0.81	(assume @p136 (= (_ tptp.descar1375166517sums_a tptp.nil_a) tptp.nil_a))
0.46/0.81	(assume @p137 @t409)
0.46/0.81	(assume @p138 (forall @t106 (= (_ (_ tptp.ord_less_int @t357) tptp.zero_zero_int) @t410)))
0.46/0.81	(assume @p139 (forall @t411 (=> @t98 @t100)))
0.46/0.81	(assume @p140 (forall @t340 (= (_ @t412 @t338) @t338)))
0.46/0.81	(assume @p141 (forall (@list @t47 @t5 @t304) (= (= (_ @t49 @t5) (_ @t397 @t5)) @t305)))
0.46/0.81	(assume @p142 (forall @t192 (=> (and @t414 @t190) @t413)))
0.46/0.81	(assume @p143 (forall @t145 (= @t122 (exists (@list @t416 @t415) (= @t11 (_ (_ tptp.cons_a @t416) @t415))))))
0.46/0.81	(assume @p144 (forall (@list @t45 @t419 @t47 @t5 @t304) (=> (= (_ @t50 @t419) @t47) (=> (= @t5 (_ @t420 @t304)) @t418))))
0.46/0.81	(assume @p145 (forall (@list @t5 @t47 @t45) (=> (_ (_ tptp.ord_less_eq_nat @t135) @t421) (not (= @t5 @t136)))))
0.46/0.81	(assume @p146 (forall @t43 (=> @t21 @t422)))
0.46/0.81	(assume @p147 (forall @t138 (= (_ (_ tptp.replicate_a tptp.zero_zero_nat) @t10) tptp.nil_a)))
0.46/0.81	(assume @p148 (not (= tptp.xs tptp.nil_a)))
0.46/0.81	(assume @p149 (forall (@list @t11 @t10 @t59) (= (_ (_ tptp.nth_a (_ @t144 @t423)) @t278) @t10)))
0.46/0.81	(assume @p150 (forall @t145 (= (_ @t54 @t278) @t122)))
0.46/0.81	(assume @p151 (forall (@list @t7 @t10 @t11) (= (_ @t424 @t13) (_ @t12 (_ @t424 @t11)))))
0.46/0.81	(assume @p152 (forall @t178 (= (_ @t425 @t221) (_ @t425 @t92))))
0.46/0.81	(assume @p153 (forall @t143 (= (= @t142 @t92) @t128)))
0.46/0.81	(assume @p154 (forall @t192 (=> (and @t262 @t359) @t261)))
0.46/0.81	(assume @p155 (forall @t63 (=> (not @t426) (not @t62))))
0.46/0.81	(assume @p156 (forall @t433 (=> @t432 (=> (forall @t176 (not (= @t429 @t77))) (not (forall @t430 (not (= @t429 @t428))))))))
0.46/0.81	(assume @p157 (forall @t326 (=> (or @t125 @t324) @t325)))
0.46/0.81	(assume @p158 (forall @t435 (=> @t434 @t95)))
0.46/0.81	(assume @p159 (forall @t411 (= @t98 @t100)))
0.46/0.81	(assume @p160 (forall @t315 (= (= @t180 tptp.nil_nat) @t56)))
0.46/0.81	(assume @p161 (forall @t326 (=> @t324 @t57)))
0.46/0.81	(assume @p162 (forall @t178 (= (= @t221 tptp.zero_zero_a) @t382)))
0.46/0.81	(assume @p163 (_ @t139 tptp.xa))
0.46/0.81	(assume @p164 (forall @t439 (=> (_ @t216 @t436) (=> (_ @t216 @t437) @t438))))
0.46/0.81	(assume @p165 (forall @t411 (=> @t369 @t223)))
0.46/0.81	(assume @p166 (forall @t17 @t123))
0.46/0.81	(assume @p167 (forall @t215 (=> (forall @t335 (not (= @t209 @t330))) @t213)))
0.46/0.81	(assume @p168 (forall (@list @t59) (= @t61 @t59)))
0.46/0.81	(assume @p169 (forall (@list @t5 @t47 @t441 @t440) (=> (or (= (_ tptp.size_size_list_nat @t441) (_ tptp.size_size_list_nat @t440)) (= @t135 @t421)) (= (= (_ @t52 @t441) (_ @t49 @t440)) (and (= @t441 @t440) @t48)))))
0.46/0.81	(assume @p170 (forall @t444 (=> @t233 (=> (forall @t335 @t443) @t442))))
0.46/0.81	(assume @p171 (forall @t145 (=> @t122 (not (forall (@list @t108 @t109) (not (= @t11 (_ (_ tptp.append_a @t108) (_ @t110 tptp.nil_a)))))))))
0.46/0.81	(assume @p172 (forall @t101 (=> @t223 @t226)))
0.46/0.81	(assume @p173 (forall (@list @t448 @t447 @t446 @t445) (=> (forall (@list @t453 @t342) (_ (_ @t454 tptp.nil_nat) @t342)) (=> (forall (@list @t453 @t451 @t450 @t449) (=> (_ (_ @t454 @t450) (_ (_ tptp.cons_a (_ @t453 @t451)) @t449)) (_ (_ @t454 @t452) @t449))) (_ (_ (_ @t448 @t447) @t446) @t445)))))
0.46/0.81	(assume @p174 (forall @t63 (exists (@list @t455 @t456 @t457) (and (= @t59 (_ (_ tptp.append_a @t457) @t455)) (or (not (= (_ tptp.last_a @t456) (_ tptp.last_a @t457))) (= @t457 tptp.nil_a) (= @t456 tptp.nil_a)) (= @t11 (_ (_ tptp.append_a @t456) @t455))))))
0.46/0.81	(assume @p175 (forall @t197 (= (_ @t25 tptp.zero_zero_nat) @t19)))
0.46/0.81	(assume @p176 (forall @t106 (= (_ @t216 @t357) (_ @t216 @t36))))
0.46/0.81	(assume @p177 (forall @t106 (= (= tptp.zero_zero_int @t357) @t356)))
0.46/0.81	(assume @p178 @t458)
0.46/0.81	(assume @p179 (forall (@list @t460) (=> (not (= @t460 tptp.nil_list_nat)) (=> (forall (@list @t459) (not (= @t460 (_ (_ tptp.cons_list_nat tptp.nil_nat) @t459)))) (not (forall (@list @t206 @t204 @t459) (not (= @t460 (_ (_ tptp.cons_list_nat @t330) @t459)))))))))
0.46/0.81	(assume @p180 (forall @t462 @t461))
0.46/0.81	(assume @p181 (forall @t463 (= (_ @t67 tptp.nil_a) @t66)))
0.46/0.81	(assume @p182 (forall @t227 (= @t465 @t100)))
0.46/0.81	(assume @p183 (forall (@list @t467 @t466 @t446 @t154) (=> (forall (@list @t468 @t163) (_ (_ @t469 tptp.nil_nat) @t163)) (=> (forall (@list @t468 @t451 @t450 @t157) (=> (_ (_ @t469 @t450) (_ (_ tptp.cons_nat (_ @t468 @t451)) @t157)) (_ (_ @t469 @t452) @t157))) (_ (_ (_ @t467 @t466) @t446) @t154)))))
0.46/0.81	(assume @p184 (forall (@list @t471 @t7) (=> (_ @t471 @t7) (=> (not (_ @t471 tptp.zero_zero_nat)) (exists (@list @t470) (and (_ (_ tptp.ord_less_eq_nat @t470) @t7) (forall (@list @t472) (=> (_ (_ tptp.ord_less_nat @t472) @t470) (not (_ @t471 @t472)))) (_ @t471 @t470)))))))
0.46/0.81	(assume @p185 (forall @t444 (=> @t233 (=> @t475 (=> (forall (@list @t206 @t164 @t473) (=> (_ @t230 @t473) (=> (_ @t230 @t474) (_ @t230 (_ @t207 @t474))))) @t442)))))
0.46/0.81	(assume @p186 (forall @t143 (= (_ @t219 @t130) @t476)))
0.46/0.81	(assume @p187 (forall @t169 (= (_ tptp.descar226543321ms_nat (_ @t477 @t5)) (_ @t477 @t6))))
0.46/0.81	(assume @p188 (forall @t484 (=> @t483 (=> (forall (@list @t481 @t206 @t166) (=> (_ @t482 @t166) (_ @t482 @t370))) @t480))))
0.46/0.81	(assume @p189 (forall @t63 (= (= tptp.nil_a @t269) @t485)))
0.46/0.81	(assume @p190 (forall @t363 @t361))
0.46/0.81	(assume @p191 (forall @t218 (= (= @t105 @t36) @t383)))
0.46/0.81	(assume @p192 (forall @t218 (= (= @t36 @t105) @t383)))
0.46/0.81	(assume @p193 (forall @t315 (= (_ tptp.size_size_list_nat @t180) @t7)))
0.46/0.81	(assume @p194 (forall (@list @t486 @t283 @t281) (=> (= @t486 @t284) (not (= @t486 tptp.nil_a)))))
0.46/0.81	(assume @p195 (forall (@list @t11 @t10 @t59 @t84) (= (= @t487 (_ @t322 (_ (_ tptp.cons_a @t84) tptp.nil_a))) (and @t62 @t126))))
0.46/0.81	(assume @p196 (forall @t494 (=> @t493 (=> (forall (@list @t206 @t204 @t166) (=> (_ (_ @t488 @t166) @t204) @t491)) @t489))))
0.46/0.81	(assume @p197 (forall @t32 (= (_ @t195 @t133) @t351)))
0.46/0.81	(assume @p198 (forall @t203 (= (= tptp.zero_zero_nat @t201) @t200)))
0.46/0.81	(assume @p199 (forall (@list @t11 @t59 @t10) (=> (_ @t495 @t276) (not (= @t11 @t423)))))
0.46/0.81	(assume @p200 (forall @t169 (= (_ tptp.size_size_list_nat @t6) @t135)))
0.46/0.81	(assume @p201 (forall @t462 (= (_ (_ tptp.replicate_nat tptp.zero_zero_nat) @t45) tptp.nil_nat)))
0.46/0.81	(assume @p202 (forall @t462 (_ @t496 @t45)))
0.46/0.82	(assume @p203 (forall @t96 (=> @t95 @t434)))
0.46/0.82	(assume @p204 (forall (@list @t338 @t498 @t497) (= (_ (_ tptp.append_nat (_ @t339 @t498)) @t497) (_ @t339 (_ (_ tptp.append_nat @t498) @t497)))))
0.46/0.82	(assume @p205 (forall @t290 (=> @t48 (= @t5 @t499))))
0.46/0.82	(assume @p206 (forall @t143 (= (_ @t219 @t142) @t476)))
0.46/0.82	(assume @p207 (forall @t29 (= @t500 @t238)))
0.46/0.82	(assume @p208 (forall @t253 (=> (and @t349 @t501) @t348)))
0.46/0.82	(assume @p209 (forall @t106 (= (_ (_ tptp.plus_plus_int tptp.zero_zero_int) @t36) @t36)))
0.46/0.82	(assume @p210 (forall @t290 (= (= @t5 @t239) @t302)))
0.46/0.82	(assume @p211 (forall @t433 (=> @t432 (not (forall @t503 (not (= @t429 @t502)))))))
0.46/0.82	(assume @p212 (forall (@list @t505 @t504 @t146 @t445) (=> (forall (@list @t506 @t342) (_ (_ @t507 tptp.nil_a) @t342)) (=> (forall (@list @t506 @t159 @t158 @t449) (=> (_ (_ @t507 @t158) (_ (_ tptp.cons_a (_ @t506 @t159)) @t449)) (_ (_ @t507 @t160) @t449))) (_ (_ (_ @t505 @t504) @t146) @t445)))))
0.46/0.82	(assume @p213 (forall @t58 (= @t55 @t57)))
0.46/0.82	(assume @p214 (forall (@list @t47) (= @t499 @t47)))
0.46/0.82	(assume @p215 (forall @t29 (=> @t500 @t238)))
0.46/0.82	(assume @p216 (forall @t494 (=> @t493 (=> @t512 (=> (forall @t511 (=> (_ @t510 @t508) (=> @t491 @t509))) @t489)))))
0.46/0.82	(assume @p217 (forall (@list @t7 @t10 @t181) (= (_ @t424 @t513) (_ (_ tptp.append_a @t513) @t70))))
0.46/0.82	(assume @p218 (forall @t515 (=> @t122 (=> @t177 (=> (forall @t81 (=> @t514 (=> @t79 @t264))) @t74)))))
0.46/0.82	(assume @p219 (forall @t327 (= (_ tptp.size_size_list_a @t70) @t7)))
0.46/0.82	(assume @p220 (forall (@list @t516 @t11 @t47) (=> (_ @t518 tptp.nil_nat) (=> (forall @t81 (_ @t517 tptp.nil_nat)) (=> (forall @t519 (_ @t518 @t508)) (=> (forall (@list @t75 @t78 @t164 @t166) (=> (_ (_ @t516 @t78) @t166) (_ @t517 @t508))) (_ (_ @t516 @t11) @t47)))))))
0.46/0.82	(assume @p221 (forall (@list @t11 @t7) (=> @t522 @t521)))
0.46/0.82	(assume @p222 (forall @t178 (= (_ @t139 @t221) (_ @t139 @t92))))
0.46/0.82	(assume @p223 (forall @t435 (= @t434 @t95)))
0.46/0.82	(assume @p224 (= tptp.ord_less_eq_nat (lambda @t526 (or @t525 (_ (_ tptp.ord_less_nat @t524) @t523)))))
0.46/0.82	(assume @p225 (forall (@list @t73 @t486) (=> @t82 (=> (forall (@list @t528 @t527) (=> (_ @t73 @t527) (_ @t73 (_ (_ tptp.cons_a @t528) @t527)))) (_ @t73 @t486)))))
0.46/0.82	(assume @p226 (forall @t58 (= (_ (_ tptp.ord_less_eq_nat @t7) tptp.zero_zero_nat) @t56)))
0.46/0.82	(assume @p227 (forall (@list @t531) (=> (not (= @t531 tptp.nil_a)) (not (forall (@list @t530 @t529) (not (= @t531 (_ (_ tptp.cons_a @t530) @t529))))))))
0.46/0.82	(assume @p228 (forall @t134 (= (= @t133 @t19) @t30)))
0.46/0.82	(assume @p229 (forall @t327 (= (= @t70 tptp.nil_a) @t56)))
0.46/0.82	(assume @p230 (forall @t58 (= (not @t55) @t56)))
0.46/0.82	(assume @p231 (forall @t143 (= (_ (_ tptp.ord_less_eq_a @t142) @t89) @t179)))
0.46/0.82	(assume @p232 (forall (@list @t47 @t304 @t45 @t5) (= (= @t417 @t268) (or (and @t302 (= @t304 @t268)) (exists @t535 (and (= @t47 @t534) (= @t533 @t5)))))))
0.46/0.82	(assume @p233 (forall @t411 (= @t369 @t223)))
0.46/0.82	(assume @p234 (forall @t290 (= (= tptp.nil_nat @t239) @t368)))
0.46/0.82	(assume @p235 (forall @t290 (= (= @t239 @t47) @t167)))
0.46/0.82	(assume @p236 (forall @t267 (=> @t82 (=> @t177 (=> (forall @t430 (=> (=> @t536 @t264) (=> (=> (not @t536) (_ @t73 @t427)) (_ @t73 @t428)))) @t263)))))
0.46/0.82	(assume @p237 (forall (@list @t68 @t45) (= (_ (_ tptp.append_nat @t537) @t51) (_ @t50 @t537))))
0.46/0.82	(assume @p238 (= tptp.plus_plus_int (lambda (@list @t538 @t539) (_ (_ tptp.plus_plus_int @t539) @t538))))
0.46/0.82	(assume @p239 (forall @t192 (=> (and @t191 @t540) @t413)))
0.46/0.82	(assume @p240 (forall @t32 (= (= @t31 @t19) @t30)))
0.46/0.82	(assume @p241 (forall @t218 (= (_ @t99 @t40) @t217)))
0.46/0.82	(assume @p242 (forall @t439 (=> (_ (_ tptp.ord_less_eq_int @t436) tptp.zero_zero_int) (=> (_ (_ tptp.ord_less_eq_int @t437) tptp.zero_zero_int) @t438))))
0.46/0.82	(assume @p243 (forall @t484 (=> @t483 (=> (forall (@list @t481 @t206) (_ @t482 @t211)) (=> (forall (@list @t481 @t206 @t164 @t204) (=> (_ @t482 @t205) (_ @t482 @t208))) @t480)))))
0.46/0.82	(assume @p244 (forall @t218 (= (_ @t222 @t105) @t292)))
0.46/0.82	(assume @p245 (forall @t88 (=> (_ @t139 @t10) (=> (_ @t139 @t84) @t86))))
0.46/0.82	(assume @p246 (forall @t547 (=> @t546 (=> (forall (@list @t544 @t75) (_ @t545 @t77)) (=> (forall (@list @t544 @t75 @t109 @t78) (=> (_ @t545 @t427) (_ @t545 @t428))) @t543)))))
0.46/0.82	(assume @p247 (forall @t227 (= @t226 @t223)))
0.46/0.82	(assume @p248 (forall @t29 (= @t28 @t21)))
0.46/0.82	(assume @p249 (forall (@list @t5 @t419 @t304 @t47 @t441) (=> (= (_ @t52 @t419) @t304) (=> (= @t47 (_ @t420 @t441)) (= @t239 (_ @t397 @t441))))))
0.46/0.82	(assume @p250 (forall @t285 (=> @t237 @t238)))
0.46/0.82	(assume @p251 (forall @t270 @t373))
0.46/0.82	(assume @p252 (forall @t145 (= (= @t278 tptp.zero_zero_nat) @t15)))
0.46/0.82	(assume @p253 (forall @t63 (=> (forall @t275 (= (_ @t548 @t11) (_ @t548 @t59))) @t62)))
0.46/0.82	(assume @p254 (forall (@list @t11 @t550 @t316 @t59 @t549) (=> (= (_ @t144 @t550) @t316) (=> (= @t59 (_ @t551 @t549)) (= @t269 (_ @t345 @t549))))))
0.46/0.82	(assume @p255 (forall (@list @t3 @t2 @t552 @t553) (= (= @t4 (_ (_ tptp.cons_nat @t552) @t553)) (and (= @t2 @t553) (= @t3 @t552)))))
0.46/0.82	(assume @p256 (not (= @t384 tptp.zero_zero_a)))
0.46/0.82	(assume @p257 (forall @t555 (=> @t168 (=> @t475 (=> (forall @t335 (=> @t554 (=> @t332 @t331))) @t442)))))
0.46/0.82	(assume @p258 (forall @t336 (=> @t233 (=> @t475 (=> (forall @t210 (=> (=> @t556 @t331) (=> (=> (not @t556) (_ @t230 @t205)) (_ @t230 @t208)))) @t329)))))
0.46/0.82	(assume @p259 (forall @t363 (= (_ tptp.last_nat @t53) @t45)))
0.46/0.82	(assume @p260 (forall @t433 (=> (forall @t81 (not (= @t429 @t112))) @t431)))
0.46/0.82	(assume @p261 (forall @t101 (= @t375 @t35)))
0.46/0.82	(assume @p262 (forall @t169 (= (_ @t52 tptp.nil_nat) @t5)))
0.46/0.82	(assume @p263 (forall @t408 (= @t521 @t522)))
0.46/0.82	(assume @p264 (forall @t299 (exists @t298 (forall @t297 (=> @t296 (not (_ (_ tptp.ord_less_eq_a @t293) @t294)))))))
0.46/0.82	(assume @p265 (forall @t218 (= (= @t36 @t40) @t383)))
0.46/0.82	(assume @p266 (forall @t227 (=> @t465 @t100)))
0.46/0.82	(assume @p267 (forall @t218 (= (_ (_ tptp.ord_less_eq_int @t105) @t34) @t244)))
0.46/0.82	(assume @p268 (forall @t32 (= (_ (_ tptp.ord_less_nat @t31) @t18) @t132)))
0.46/0.82	(assume @p269 (forall @t169 (= @t168 (exists (@list @t558 @t557) (= @t5 (_ (_ tptp.cons_nat @t558) @t557))))))
0.46/0.82	(assume @p270 (forall (@list @t68 @t10) (= (_ (_ tptp.append_a @t559) @t137) (_ @t12 @t559))))
0.46/0.82	(assume @p271 (forall (@list @t488 @t5 @t47) (=> (_ @t492 tptp.nil_nat) (=> (forall @t335 (_ @t490 tptp.nil_nat)) (=> (forall @t519 (_ @t492 @t508)) (=> @t560 (_ (_ @t488 @t5) @t47)))))))
0.46/0.82	(assume @p272 (forall (@list @t11 @t59 @t316 @t561) (= (= @t269 (_ @t345 @t561)) (exists (@list @t562) (or (and (= (_ @t144 @t562) @t316) (= @t59 (_ @t563 @t561))) (and (= @t11 (_ @t345 @t562)) (= (_ @t563 @t59) @t561)))))))
0.46/0.82	(assume @p273 (forall @t106 (= (_ (_ tptp.ord_less_eq_int @t357) tptp.zero_zero_int) @t244)))
0.46/0.82	(assume @p274 (forall @t253 (=> (and @t358 @t501) @t250)))
0.46/0.82	(assume @p275 (forall @t363 @t362))
0.46/0.82	(assume @p276 (forall @t43 (=> @t238 @t500)))
0.46/0.82	(assume @p277 (forall @t260 (=> (and @t372 (= @t256 @t254)) @t258)))
0.46/0.82	(assume @p278 (forall @t285 (= @t422 @t21)))
0.46/0.82	(assume @p279 (forall @t462 (= (_ tptp.descar226543321ms_nat @t51) @t51)))
0.46/0.82	(assume @p280 (forall @t463 (= (_ @t60 @t66) @t66)))
0.46/0.82	(assume @p281 (forall @t134 (= (_ (_ tptp.ord_less_eq_nat @t133) @t18) @t196)))
0.46/0.82	(assume @p282 (forall @t408 (= (= @t520 tptp.nil_a) (or @t15 @t56))))
0.46/0.82	(assume @p283 (forall @t178 (= (_ (_ tptp.ord_less_eq_a @t221) tptp.zero_zero_a) @t179)))
0.46/0.82	(assume @p284 (forall @t218 (= (_ (_ tptp.ord_less_int @t105) @t34) @t410)))
0.46/0.82	(assume @p285 (forall @t547 (=> @t546 (=> (forall (@list @t544 @t75 @t108) (=> (_ @t545 @t108) (_ @t545 @t502))) @t543))))
0.46/0.82	(assume @p286 (not (= (_ tptp.last_a tptp.xs) tptp.zero_zero_a)))
0.46/0.82	(assume @p287 (forall @t267 (=> @t82 (=> (forall @t503 (=> (_ @t73 @t108) (_ @t73 @t502))) @t263))))
0.46/0.82	(assume @p288 (forall (@list @t566 @t187 @t34 @t36) (=> (= @t566 (_ @t564 @t34)) (= (_ @t103 @t566) @t565))))
0.46/0.82	(assume @p289 (forall @t290 (= (= @t239 @t5) @t302)))
0.46/0.82	(assume @p290 (forall (@list @t283 @t281) (not (= tptp.nil_a @t284))))
0.46/0.82	(assume @p291 (forall @t245 (= (_ (_ tptp.ord_less_int @t40) @t34) @t410)))
0.46/0.82	(assume @p292 (not (= (_ tptp.last_a tptp.xsa) tptp.zero_zero_a)))
0.46/0.82	(assume @p293 (forall @t32 (=> @t238 (not (forall (@list @t567) (not (= @t18 (_ @t25 @t567))))))))
0.46/0.82	(assume @p294 (forall @t494 (=> @t512 (=> (forall (@list @t569 @t568) (_ @t492 (_ (_ tptp.cons_nat @t569) @t568))) (=> @t560 @t489)))))
0.46/0.82	(assume @p295 (forall @t286 (not (= @t13 @t11))))
0.46/0.82	(assume @p296 (forall @t17 (= (_ tptp.last_a @t487) @t10)))
0.46/0.82	(assume @p297 (forall @t570 (= (_ (_ tptp.nth_nat @t268) tptp.zero_zero_nat) @t45)))
0.46/0.82	(assume @p298 (forall @t571 (= (= @t269 (_ @t144 @t316)) @t344)))
0.46/0.82	(assume @p299 (forall @t192 (=> (and @t540 @t414) @t413)))
0.46/0.82	(assume @p300 (_ (_ tptp.ord_less_nat tptp.p) (_ tptp.size_size_list_a tptp.xsa)))
0.46/0.82	(assume @p301 (forall @t253 (=> (and @t350 @t252) @t348)))
0.46/0.82	(assume @p302 (forall (@list @t572) (= (_ tptp.v (_ @t573 tptp.xsa)) (_ (_ tptp.plus_plus_int (_ tptp.v (_ @t573 (_ @t385 tptp.nil_a)))) (_ tptp.v @t386)))))
0.46/0.82	(assume @p303 (= (_ (_ tptp.take_a tptp.p) tptp.xsa) @t388))
0.46/0.82	(assume @p304 (forall (@list @t574 @t187 @t36 @t34) (=> (= @t574 (_ @t564 @t36)) (= (_ (_ tptp.plus_plus_int @t574) @t34) @t565))))
0.46/0.82	(assume @p305 (forall @t336 (=> @t233 (=> (forall @t371 (=> (_ @t230 @t166) (_ @t230 @t370))) @t329))))
0.46/0.82	(assume @p306 (forall @t106 (= (_ @t291 @t357) (_ @t291 @t36))))
0.46/0.82	(assume @p307 (forall @t285 (=> @t422 @t21)))
0.46/0.82	(assume @p308 (forall @t555 (=> @t168 (=> @t475 (=> (forall @t335 (=> @t554 @t443)) @t442)))))
0.46/0.82	(assume @p309 (forall (@list @t68 @t7 @t45) (=> @t72 (= (_ (_ tptp.nth_nat @t180) @t68) @t45))))
0.46/0.82	(assume @p310 (= tptp.xs1 @t388))
0.46/0.82	(assume @p311 (forall (@list @t11 @t59 @t549 @t575) (=> (or @t426 (= (_ tptp.size_size_list_a @t549) (_ tptp.size_size_list_a @t575))) (= (= (_ @t144 @t549) (_ @t322 @t575)) (and @t62 (= @t549 @t575))))))
0.46/0.82	(assume @p312 (forall @t203 (=> @t461 (=> (_ @t307 @t44) @t576))))
0.46/0.82	(assume @p313 (forall @t63 (= (= @t269 tptp.nil_a) @t485)))
0.46/0.82	(assume @p314 (forall @t138 (= (= tptp.zero_zero_a @t10) @t85)))
0.46/0.82	(assume @p315 (forall (@list @t429 @t531) (=> (not (= (_ tptp.size_size_list_a @t429) (_ tptp.size_size_list_a @t531))) (not (= @t429 @t531)))))
0.46/0.82	(assume @p316 (forall @t197 (= (not @t194) (_ @t54 @t19))))
0.46/0.82	(assume @p317 (forall @t570 (not (= @t268 @t5))))
0.46/0.82	(assume @p318 (forall (@list @t45 @t5 @t47 @t304) (= @t418 (or (exists @t535 (and (= @t534 @t47) (= @t5 @t533))) (and @t302 (= @t268 @t304))))))
0.46/0.82	(assume @p319 (forall @t306 (= (_ (_ tptp.append_nat @t239) @t304) (_ @t52 @t417))))
0.46/0.82	(assume @p320 (forall @t243 (=> @t100 (=> (_ (_ tptp.ord_less_eq_int @t33) @t241) (_ @t464 @t242)))))
0.46/0.82	(assume @p321 (forall @t462 (= (= tptp.zero_zero_nat @t45) @t198)))
0.46/0.82	(assume @p322 (forall (@list @t10 @t550 @t59 @t11 @t316) (=> (= (_ @t12 @t550) @t59) (=> (= @t11 (_ @t551 @t316)) @t374))))
0.46/0.82	(assume @p323 (forall @t63 (= (= @t269 @t11) @t321)))
0.46/0.82	(assume @p324 (forall @t314 (exists @t313 (forall @t312 (=> @t311 (_ (_ tptp.ord_less_eq_nat @t308) @t309))))))
0.46/0.82	(assume @p325 (forall @t401 (=> @t21 (=> (_ (_ tptp.ord_less_nat @t22) @t398) (_ @t27 @t399)))))
0.46/0.82	(assume @p326 (forall @t145 (= (_ @t279 @t11) tptp.nil_a)))
0.46/0.82	(assume @p327 (forall @t203 (=> (_ @t496 tptp.zero_zero_nat) (=> (_ (_ tptp.ord_less_eq_nat @t44) tptp.zero_zero_nat) @t576))))
0.46/0.82	(assume @p328 (forall @t240 @t381))
0.46/0.82	(assume @p329 (forall @t101 (=> @t100 @t465)))
0.46/0.82	(assume @p330 (forall @t571 (= (_ (_ tptp.append_a @t269) @t316) (_ @t144 @t323))))
0.46/0.82	(assume @p331 (forall (@list @t3 @t2) (not (= tptp.nil_nat @t4))))
0.46/0.82	(assume @p332 (forall @t143 (= (_ @t94 @t130) @t140)))
0.46/0.82	(assume @p333 (forall (@list @t68 @t7 @t11) (=> @t72 (= (_ (_ tptp.nth_a @t520) @t68) (_ @t273 @t68)))))
0.46/0.82	(assume @p334 (forall @t515 (=> @t122 (=> @t177 (=> (forall @t81 (=> @t514 @t80)) @t74)))))
0.46/0.82	(assume @p335 true)
0.46/0.82	(step @p336 (= tptp.ord_less_eq_nat @t580) :rule refl :args (@t580))
0.46/0.82	(step @p337 (= tptp.ord_less_nat @t581) :rule refl :args (@t581))
0.46/0.82	(step @p338 :rule refl :args ((tptp.append_a @t402 @t337)))
0.46/0.82	(step @p339 :rule refl :args (@t582))
0.46/0.82	(step @p340 :rule refl :args (@t583))
0.46/0.82	(step @p341 :rule cong :premises (@p340 @p339) :args (@t584))
0.46/0.82	(step @p342 :rule trans :premises (@p341 @p338))
0.46/0.82	(step @p343 :rule refl :args (tptp.append_a))
0.46/0.82	(step @p344 :rule ho_cong :premises (@p343 @p340))
0.46/0.82	(step @p345 :rule ho_cong :premises (@p344 @p339))
0.46/0.82	(step @p346 :rule cong :premises (@p345 @p342) :args ((= (_ @t585 @t582) @t584)))
0.46/0.82	(step @p347 :rule symm :premises (@p346))
0.46/0.82	(step @p348 :rule refl :args (@t404))
0.46/0.82	(step @p349 :rule eq_resolve :premises (@p348 @p347))
0.46/0.82	(step @p350 :rule refl :args (@t337))
0.46/0.82	(step @p351 :rule cong :premises (@p350 @p339) :args ((= @t337 @t582)))
0.46/0.82	(step @p352 :rule symm :premises (@p351))
0.46/0.82	(step @p353 :rule eq_resolve :premises (@p350 @p352))
0.46/0.82	(step @p354 :rule refl :args (@t402))
0.46/0.82	(step @p355 :rule cong :premises (@p354 @p340) :args ((= @t402 @t583)))
0.46/0.82	(step @p356 :rule symm :premises (@p355))
0.46/0.82	(step @p357 :rule eq_resolve :premises (@p354 @p356))
0.46/0.82	(step @p358 :rule ho_cong :premises (@p343 @p357))
0.46/0.82	(step @p359 :rule ho_cong :premises (@p358 @p353))
0.46/0.82	(step @p360 :rule trans :premises (@p359 @p349))
0.46/0.82	(step @p361 :rule refl :args ((tptp.descar1375166517sums_a @t405)))
0.46/0.82	(step @p362 :rule refl :args ((tptp.append_a @t402 @t11)))
0.46/0.82	(step @p363 :rule refl :args (@t11))
0.46/0.82	(step @p364 :rule cong :premises (@p340 @p363) :args (@t586))
0.46/0.82	(step @p365 :rule trans :premises (@p364 @p362))
0.46/0.82	(step @p366 :rule cong :premises (@p365) :args (@t587))
0.46/0.82	(step @p367 :rule trans :premises (@p366 @p361))
0.46/0.82	(step @p368 :rule refl :args (tptp.descar1375166517sums_a))
0.46/0.82	(step @p369 :rule ho_cong :premises (@p368 @p365))
0.46/0.82	(step @p370 :rule cong :premises (@p369 @p367) :args ((= (_ tptp.descar1375166517sums_a @t586) @t587)))
0.46/0.82	(step @p371 :rule symm :premises (@p370))
0.46/0.82	(step @p372 :rule refl :args (@t406))
0.46/0.82	(step @p373 :rule eq_resolve :premises (@p372 @p371))
0.46/0.82	(step @p374 :rule ho_cong :premises (@p344 @p363))
0.46/0.82	(step @p375 :rule cong :premises (@p374 @p365) :args ((= (_ @t585 @t11) @t586)))
0.46/0.82	(step @p376 :rule symm :premises (@p375))
0.46/0.82	(step @p377 :rule refl :args (@t405))
0.46/0.82	(step @p378 :rule eq_resolve :premises (@p377 @p376))
0.46/0.82	(step @p379 :rule ho_cong :premises (@p358 @p363))
0.46/0.82	(step @p380 :rule trans :premises (@p379 @p378))
0.46/0.82	(step @p381 :rule ho_cong :premises (@p368 @p380))
0.46/0.82	(step @p382 :rule trans :premises (@p381 @p373))
0.46/0.82	(step @p383 :rule cong :premises (@p382 @p360) :args (@t407))
0.46/0.82	(step @p384 :rule cong :premises (@p383) :args (@t409))
0.46/0.82	(step @p385 :rule eq_resolve :premises (@p137 @p384))
0.46/0.82	(step @p386 :rule eq-symm :args (@t588 @t593))
0.46/0.82	(step @p387 :rule refl :args ((tptp.append_a @t388 @t387)))
0.46/0.82	(step @p388 :rule refl :args ((tptp.descar1375166517sums_a @t386)))
0.46/0.82	(step @p389 :rule refl :args ((tptp.cons_a @t384 tptp.xs2)))
0.46/0.82	(step @p390 :rule refl :args (tptp.xs2))
0.46/0.82	(step @p391 :rule refl :args (@t589))
0.46/0.82	(step @p392 :rule cong :premises (@p391 @p390) :args (@t590))
0.46/0.82	(step @p393 :rule trans :premises (@p392 @p389))
0.46/0.82	(step @p394 :rule cong :premises (@p393) :args (@t591))
0.46/0.82	(step @p395 :rule trans :premises (@p394 @p388))
0.46/0.82	(step @p396 :rule refl :args (@t592))
0.46/0.82	(step @p397 :rule cong :premises (@p396 @p395) :args (@t593))
0.46/0.82	(step @p398 :rule trans :premises (@p397 @p387))
0.46/0.82	(step @p399 :rule ho_cong :premises (@p343 @p396))
0.46/0.82	(step @p400 :rule ho_cong :premises (@p399 @p395))
0.46/0.82	(step @p401 :rule cong :premises (@p400 @p398) :args ((= (_ @t594 @t591) @t593)))
0.46/0.82	(step @p402 :rule symm :premises (@p401))
0.46/0.82	(step @p403 :rule refl :args (@t390))
0.46/0.82	(step @p404 :rule eq_resolve :premises (@p403 @p402))
0.46/0.82	(step @p405 :rule ho_cong :premises (@p368 @p393))
0.46/0.82	(step @p406 :rule cong :premises (@p405 @p395) :args ((= (_ tptp.descar1375166517sums_a @t590) @t591)))
0.46/0.82	(step @p407 :rule symm :premises (@p406))
0.46/0.82	(step @p408 :rule refl :args (@t387))
0.46/0.82	(step @p409 :rule eq_resolve :premises (@p408 @p407))
0.46/0.82	(step @p410 :rule refl :args (tptp.cons_a))
0.46/0.82	(step @p411 :rule ho_cong :premises (@p410 @p391))
0.46/0.82	(step @p412 :rule ho_cong :premises (@p411 @p390))
0.46/0.82	(step @p413 :rule cong :premises (@p412 @p393) :args ((= (_ (_ tptp.cons_a @t589) tptp.xs2) @t590)))
0.46/0.82	(step @p414 :rule symm :premises (@p413))
0.46/0.82	(step @p415 :rule refl :args (@t386))
0.46/0.82	(step @p416 :rule eq_resolve :premises (@p415 @p414))
0.46/0.82	(step @p417 :rule refl :args (tptp.xs2))
0.46/0.82	(step @p418 :rule refl :args (@t384))
0.46/0.82	(step @p419 :rule cong :premises (@p418 @p391) :args ((= @t384 @t589)))
0.46/0.82	(step @p420 :rule symm :premises (@p419))
0.46/0.82	(step @p421 :rule eq_resolve :premises (@p418 @p420))
0.46/0.82	(step @p422 :rule refl :args (tptp.cons_a))
0.46/0.82	(step @p423 :rule ho_cong :premises (@p422 @p421))
0.46/0.82	(step @p424 :rule ho_cong :premises (@p423 @p417))
0.46/0.82	(step @p425 :rule trans :premises (@p424 @p416))
0.46/0.82	(step @p426 :rule refl :args (tptp.descar1375166517sums_a))
0.46/0.82	(step @p427 :rule ho_cong :premises (@p426 @p425))
0.46/0.82	(step @p428 :rule trans :premises (@p427 @p409))
0.46/0.82	(step @p429 :rule refl :args (@t388))
0.46/0.82	(step @p430 :rule cong :premises (@p429 @p396) :args ((= @t388 @t592)))
0.46/0.82	(step @p431 :rule symm :premises (@p430))
0.46/0.82	(step @p432 :rule eq_resolve :premises (@p429 @p431))
0.46/0.82	(step @p433 :rule refl :args (tptp.append_a))
0.46/0.82	(step @p434 :rule ho_cong :premises (@p433 @p432))
0.46/0.82	(step @p435 :rule ho_cong :premises (@p434 @p428))
0.46/0.82	(step @p436 :rule trans :premises (@p435 @p404))
0.46/0.82	(step @p437 :rule refl :args (@t588))
0.46/0.82	(step @p438 :rule refl :args (@t391))
0.46/0.82	(step @p439 :rule cong :premises (@p438 @p437) :args ((= @t391 @t588)))
0.46/0.82	(step @p440 :rule symm :premises (@p439))
0.46/0.82	(step @p441 :rule eq_resolve :premises (@p438 @p440))
0.46/0.82	(step @p442 :rule cong :premises (@p441 @p436) :args (@t392))
0.46/0.82	(step @p443 :rule trans :premises (@p442 @p386))
0.46/0.82	(step @p444 :rule cong :premises (@p443) :args (@t393))
0.46/0.82	(step @p445 :rule eq_resolve :premises (@p133 @p444))
0.46/0.82	(step @p446 :rule false_intro :premises (@p445))
0.46/0.82	(step @p447 :rule refl :args ((tptp.append_a @t388 @t386)))
0.46/0.82	(step @p448 :rule cong :premises (@p396 @p393) :args (@t595))
0.46/0.82	(step @p449 :rule trans :premises (@p448 @p447))
0.46/0.82	(step @p450 :rule ho_cong :premises (@p399 @p393))
0.46/0.82	(step @p451 :rule cong :premises (@p450 @p449) :args ((= (_ @t594 @t590) @t595)))
0.46/0.82	(step @p452 :rule symm :premises (@p451))
0.46/0.82	(step @p453 :rule refl :args (@t596))
0.46/0.82	(step @p454 :rule eq_resolve :premises (@p453 @p452))
0.46/0.82	(step @p455 :rule ho_cong :premises (@p434 @p425))
0.46/0.82	(step @p456 :rule trans :premises (@p455 @p454))
0.46/0.82	(step @p457 :rule refl :args (tptp.xsa))
0.46/0.82	(step @p458 :rule cong :premises (@p457 @p456) :args ((= tptp.xsa @t596)))
0.46/0.82	(step @p459 :rule refl :args (@t386))
0.46/0.82	(step @p460 :rule ho_cong :premises (@p433 @p310))
0.46/0.82	(step @p461 :rule ho_cong :premises (@p460 @p459))
0.46/0.82	(step @p462 :rule cong :premises (@p457 @p461) :args (@t458))
0.46/0.82	(step @p463 :rule trans :premises (@p462 @p458))
0.46/0.82	(step @p464 :rule eq_resolve :premises (@p178 @p463))
0.46/0.82	(step @p465 :rule symm :premises (@p464))
0.46/0.82	(step @p466 :rule cong :premises (@p465) :args (@t597))
0.46/0.82	(step @p467 :rule refl :args (@t593))
0.46/0.82	(step @p468 :rule cong :premises (@p467 @p466) :args (@t598))
0.46/0.82	(step @p469 :rule trans :premises (@p468 @p446))
0.46/0.82	(step @p470 :rule false_elim :premises (@p469))
0.46/0.82	(step @p471 :rule eq-symm :args (@t597 @t593))
0.46/0.82	(step @p472 :rule refl :args (@t599))
0.46/0.82	(step @p473 :rule cong :premises (@p472 @p471) :args ((=> @t599 @t600)))
0.46/0.82	(assume-push @p481 @t599)
0.46/0.82	(step @p475 :rule instantiate :premises (@p385) :args ((@list tptp.p @t590)))
0.46/0.82	(step-pop @p481 :rule scope :premises (@p475))
0.46/0.82	(step @p476 :rule process_scope :premises (@p481) :args (@t600))
0.46/0.82	(step @p478 :rule eq_resolve :premises (@p476 @p473))
0.46/0.82	(step @p479 :rule implies_elim :premises (@p478))
0.46/0.82	(step @p480 false :rule chain_resolution :premises (@p479 @p470 @p385) :args ((@list true false) (@list @t598 @t599)))
0.46/0.82	)
0.46/0.82	% SZS output end Proof
0.46/0.82	% cvc5 exiting
0.46/0.82	EOF