%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM925_2 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:41:04 AM UTC 2026 % Result : Theorem 0.50s 0.78s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM925_2 : TPTP v9.2.1. Released v5.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 07:33:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.23/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.50/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.50/0.78 % SZS status Theorem % 0.50/0.78 % SZS output start Proof % 0.50/0.78 ( % 0.50/0.78 (declare-sort tptp.fun_re413263731l_bool 0) % 0.50/0.78 (declare-sort tptp.fun_real_bool 0) % 0.50/0.78 (declare-sort tptp.fun_nat_fun_nat_bool 0) % 0.50/0.78 (declare-sort tptp.fun_nat_bool 0) % 0.50/0.78 (declare-sort tptp.bool 0) % 0.50/0.78 (declare-sort tptp.fun_real_real 0) % 0.50/0.78 (declare-sort tptp.int 0) % 0.50/0.78 (declare-sort tptp.nat 0) % 0.50/0.78 (declare-sort tptp.fun_nat_int 0) % 0.50/0.78 (declare-sort tptp.fun_int_int 0) % 0.50/0.78 (declare-sort tptp.fun_int_bool 0) % 0.50/0.78 (declare-sort tptp.fun_int_fun_int_bool 0) % 0.50/0.78 (declare-sort tptp.real 0) % 0.50/0.78 (declare-sort tptp.fun_nat_real 0) % 0.50/0.78 (declare-sort tptp.fun_nat_nat 0) % 0.50/0.78 (declare-const tptp.fFalse tptp.bool) % 0.50/0.78 (declare-const tptp.fTrue tptp.bool) % 0.50/0.78 (declare-const tptp.sqrt (-> tptp.real tptp.real)) % 0.50/0.78 (declare-const tptp.ord_less_eq_nat tptp.fun_nat_fun_nat_bool) % 0.50/0.78 (declare-const tptp.ord_less_eq_real tptp.fun_re413263731l_bool) % 0.50/0.78 (declare-const tptp.succ (-> tptp.int tptp.int)) % 0.50/0.78 (declare-const tptp.ord_less_eq_int tptp.fun_int_fun_int_bool) % 0.50/0.79 (declare-const tptp.if_nat (-> tptp.bool tptp.nat tptp.fun_nat_nat)) % 0.50/0.79 (declare-const tptp.m1 tptp.int) % 0.50/0.79 (declare-const tptp.semiri132038758t_real tptp.fun_nat_real) % 0.50/0.79 (declare-const tptp.semiri984289939at_nat tptp.fun_nat_nat) % 0.50/0.79 (declare-const tptp.ord_less_real tptp.fun_re413263731l_bool) % 0.50/0.79 (declare-const tptp.hAPP_nat_bool (-> tptp.fun_nat_bool tptp.nat tptp.bool)) % 0.50/0.79 (declare-const tptp.ord_less_nat tptp.fun_nat_fun_nat_bool) % 0.50/0.79 (declare-const tptp.hAPP_r1134773055l_bool (-> tptp.fun_re413263731l_bool tptp.real tptp.fun_real_bool)) % 0.50/0.79 (declare-const tptp.plus_plus_nat (-> tptp.nat tptp.fun_nat_nat)) % 0.50/0.79 (declare-const tptp.power_power_int (-> tptp.int tptp.fun_nat_int)) % 0.50/0.79 (declare-const tptp.pls tptp.int) % 0.50/0.79 (declare-const tptp.hAPP_int_bool (-> tptp.fun_int_bool tptp.int tptp.bool)) % 0.50/0.79 (declare-const tptp.hAPP_i1948725293t_bool (-> tptp.fun_int_fun_int_bool tptp.int tptp.fun_int_bool)) % 0.50/0.79 (declare-const tptp.number_number_of_int (-> tptp.int tptp.int)) % 0.50/0.79 (declare-const tptp.power_power_real (-> tptp.real tptp.fun_nat_real)) % 0.50/0.79 (declare-const tptp.tn tptp.nat) % 0.50/0.79 (declare-const tptp.zero_zero_nat tptp.nat) % 0.50/0.79 (declare-const tptp.ord_less_int tptp.fun_int_fun_int_bool) % 0.50/0.79 (declare-const tptp.hAPP_real_bool (-> tptp.fun_real_bool tptp.real tptp.bool)) % 0.50/0.79 (declare-const tptp.one_one_real tptp.real) % 0.50/0.79 (declare-const tptp.t tptp.int) % 0.50/0.79 (declare-const tptp.zero_zero_int tptp.int) % 0.50/0.79 (declare-const tptp.times_times_int (-> tptp.int tptp.int tptp.int)) % 0.50/0.79 (declare-const tptp.n tptp.nat) % 0.50/0.79 (declare-const tptp.hAPP_int_int (-> tptp.fun_int_int tptp.int tptp.int)) % 0.50/0.79 (declare-const tptp.bit1 (-> tptp.int tptp.int)) % 0.50/0.79 (declare-const tptp.hAPP_nat_int (-> tptp.fun_nat_int tptp.nat tptp.int)) % 0.50/0.79 (declare-const tptp.number267125858f_real (-> tptp.int tptp.real)) % 0.50/0.79 (declare-const tptp.hAPP_n1699378549t_bool (-> tptp.fun_nat_fun_nat_bool tptp.nat tptp.fun_nat_bool)) % 0.50/0.79 (declare-const tptp.one_one_int tptp.int) % 0.50/0.79 (declare-const tptp.semiri1621563631at_int tptp.fun_nat_int) % 0.50/0.79 (declare-const tptp.hAPP_nat_nat (-> tptp.fun_nat_nat tptp.nat tptp.nat)) % 0.50/0.79 (declare-const tptp.bit0 (-> tptp.int tptp.int)) % 0.50/0.79 (declare-const tptp.number_number_of_nat (-> tptp.int tptp.nat)) % 0.50/0.79 (declare-const tptp.zero_zero_real tptp.real) % 0.50/0.79 (declare-const tptp.hAPP_nat_real (-> tptp.fun_nat_real tptp.nat tptp.real)) % 0.50/0.79 (declare-const tptp.hBOOL (-> tptp.bool Bool)) % 0.50/0.79 (declare-const tptp.plus_plus_real (-> tptp.real tptp.fun_real_real)) % 0.50/0.79 (declare-const tptp.plus_plus_int (-> tptp.int tptp.fun_int_int)) % 0.50/0.79 (declare-const tptp.hAPP_real_real (-> tptp.fun_real_real tptp.real tptp.real)) % 0.50/0.79 (declare-const tptp.one_one_nat tptp.nat) % 0.50/0.79 (declare-const tptp.power_power_nat (-> tptp.nat tptp.fun_nat_nat)) % 0.50/0.79 (define @t1 () (tptp.plus_plus_int tptp.one_one_int)) % 0.50/0.79 (define @t2 () (tptp.hAPP_int_int @t1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int tptp.n))) % 0.50/0.79 (define @t3 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int)) % 0.50/0.79 (define @t4 () (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t2))) % 0.50/0.79 (define @t5 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int)) % 0.50/0.79 (define @t6 () (@var "Ya" tptp.int)) % 0.50/0.79 (define @t7 () (= @t6 tptp.zero_zero_int)) % 0.50/0.79 (define @t8 () (@var "Xa" tptp.int)) % 0.50/0.79 (define @t9 () (= @t8 tptp.zero_zero_int)) % 0.50/0.79 (define @t10 () (and @t9 @t7)) % 0.50/0.79 (define @t11 () (tptp.bit1 tptp.pls)) % 0.50/0.79 (define @t12 () (tptp.bit0 @t11)) % 0.50/0.79 (define @t13 () (tptp.number_number_of_nat @t12)) % 0.50/0.79 (define @t14 () (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.power_power_int @t8) @t13)) (tptp.hAPP_nat_int (tptp.power_power_int @t6) @t13))) % 0.50/0.79 (define @t15 () (@list @t8 @t6)) % 0.50/0.79 (define @t16 () (@var "Ya" tptp.real)) % 0.50/0.79 (define @t17 () (= @t16 tptp.zero_zero_real)) % 0.50/0.79 (define @t18 () (@var "Xa" tptp.real)) % 0.50/0.79 (define @t19 () (= @t18 tptp.zero_zero_real)) % 0.50/0.79 (define @t20 () (and @t19 @t17)) % 0.50/0.79 (define @t21 () (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.power_power_real @t18) @t13)) (tptp.hAPP_nat_real (tptp.power_power_real @t16) @t13))) % 0.50/0.79 (define @t22 () (@list @t18 @t16)) % 0.50/0.79 (define @t23 () (tptp.power_power_int tptp.one_one_int)) % 0.50/0.79 (define @t24 () (tptp.power_power_nat tptp.one_one_nat)) % 0.50/0.79 (define @t25 () (tptp.power_power_real tptp.one_one_real)) % 0.50/0.79 (define @t26 () (tptp.power_power_int tptp.zero_zero_int)) % 0.50/0.79 (define @t27 () (tptp.power_power_nat tptp.zero_zero_nat)) % 0.50/0.79 (define @t28 () (tptp.power_power_real tptp.zero_zero_real)) % 0.50/0.79 (define @t29 () (@var "A_24" tptp.int)) % 0.50/0.79 (define @t30 () (= @t29 tptp.zero_zero_int)) % 0.50/0.79 (define @t31 () (tptp.power_power_int @t29)) % 0.50/0.79 (define @t32 () (tptp.hAPP_nat_int @t31 @t13)) % 0.50/0.79 (define @t33 () (@list @t29)) % 0.50/0.79 (define @t34 () (@var "A_24" tptp.real)) % 0.50/0.79 (define @t35 () (= @t34 tptp.zero_zero_real)) % 0.50/0.79 (define @t36 () (tptp.power_power_real @t34)) % 0.50/0.79 (define @t37 () (tptp.hAPP_nat_real @t36 @t13)) % 0.50/0.79 (define @t38 () (@list @t34)) % 0.50/0.79 (define @t39 () (@var "W_8" tptp.int)) % 0.50/0.79 (define @t40 () (tptp.hAPP_int_int (tptp.plus_plus_int @t11) @t39)) % 0.50/0.79 (define @t41 () (@list @t39)) % 0.50/0.79 (define @t42 () (tptp.plus_plus_real tptp.one_one_real)) % 0.50/0.79 (define @t43 () (@var "V_11" tptp.int)) % 0.50/0.79 (define @t44 () (tptp.hAPP_int_int (tptp.plus_plus_int @t43) @t11)) % 0.50/0.79 (define @t45 () (@list @t43)) % 0.50/0.79 (define @t46 () (tptp.number_number_of_int @t12)) % 0.50/0.79 (define @t47 () (tptp.hAPP_int_int @t1 tptp.one_one_int)) % 0.50/0.79 (define @t48 () (tptp.number267125858f_real @t12)) % 0.50/0.79 (define @t49 () (tptp.hAPP_real_real @t42 tptp.one_one_real)) % 0.50/0.79 (define @t50 () (tptp.plus_plus_nat tptp.one_one_nat)) % 0.50/0.79 (define @t51 () (tptp.hAPP_nat_nat @t50 tptp.one_one_nat)) % 0.50/0.79 (define @t52 () (@var "X" tptp.int)) % 0.50/0.79 (define @t53 () (tptp.power_power_int @t52)) % 0.50/0.79 (define @t54 () (tptp.hAPP_nat_int @t53 @t13)) % 0.50/0.79 (define @t55 () (@list @t52)) % 0.50/0.79 (define @t56 () (@var "W_7" tptp.int)) % 0.50/0.79 (define @t57 () (tptp.number_number_of_nat @t56)) % 0.50/0.79 (define @t58 () (tptp.hAPP_nat_int @t26 @t57)) % 0.50/0.79 (define @t59 () (= @t57 tptp.zero_zero_nat)) % 0.50/0.79 (define @t60 () (not @t59)) % 0.50/0.79 (define @t61 () (@list @t56)) % 0.50/0.79 (define @t62 () (tptp.hAPP_nat_nat @t27 @t57)) % 0.50/0.79 (define @t63 () (tptp.hAPP_nat_real @t28 @t57)) % 0.50/0.79 (define @t64 () (tptp.number_number_of_int @t11)) % 0.50/0.79 (define @t65 () (tptp.number267125858f_real @t11)) % 0.50/0.79 (define @t66 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat)) % 0.50/0.79 (define @t67 () (@var "Y" tptp.int)) % 0.50/0.79 (define @t68 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t52)) % 0.50/0.79 (define @t69 () (@var "L_1" tptp.int)) % 0.50/0.79 (define @t70 () (@var "K_2" tptp.int)) % 0.50/0.79 (define @t71 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t70)) % 0.50/0.79 (define @t72 () (tptp.hBOOL (tptp.hAPP_int_bool @t71 @t69))) % 0.50/0.79 (define @t73 () (tptp.number_number_of_int @t69)) % 0.50/0.79 (define @t74 () (tptp.number_number_of_int @t70)) % 0.50/0.79 (define @t75 () (@list @t70 @t69)) % 0.50/0.79 (define @t76 () (@var "W" tptp.int)) % 0.50/0.79 (define @t77 () (@var "V_6" tptp.int)) % 0.50/0.79 (define @t78 () (tptp.plus_plus_int @t77)) % 0.50/0.79 (define @t79 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t8)) % 0.50/0.79 (define @t80 () (tptp.hBOOL (tptp.hAPP_int_bool @t79 @t6))) % 0.50/0.79 (define @t81 () (tptp.number_number_of_int @t6)) % 0.50/0.79 (define @t82 () (tptp.number_number_of_int @t8)) % 0.50/0.79 (define @t83 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t82)) % 0.50/0.79 (define @t84 () (tptp.number267125858f_real @t6)) % 0.50/0.79 (define @t85 () (tptp.number267125858f_real @t8)) % 0.50/0.79 (define @t86 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t85)) % 0.50/0.79 (define @t87 () (tptp.number_number_of_int tptp.pls)) % 0.50/0.79 (define @t88 () (@var "N_1" tptp.nat)) % 0.50/0.79 (define @t89 () (@var "M_1" tptp.nat)) % 0.50/0.79 (define @t90 () (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.power_power_nat @t89) @t88))) % 0.50/0.79 (define @t91 () (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t89)) % 0.50/0.79 (define @t92 () (tptp.hAPP_nat_int (tptp.power_power_int @t91) @t88)) % 0.50/0.79 (define @t93 () (@list @t89 @t88)) % 0.50/0.79 (define @t94 () (@var "Z_2" tptp.int)) % 0.50/0.79 (define @t95 () (tptp.plus_plus_nat @t89)) % 0.50/0.79 (define @t96 () (tptp.hAPP_nat_nat @t95 @t88)) % 0.50/0.79 (define @t97 () (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t96)) % 0.50/0.79 (define @t98 () (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t88)) % 0.50/0.79 (define @t99 () (tptp.plus_plus_int @t91)) % 0.50/0.79 (define @t100 () (tptp.hAPP_nat_int tptp.semiri1621563631at_int tptp.one_one_nat)) % 0.50/0.79 (define @t101 () (tptp.number_number_of_nat tptp.pls)) % 0.50/0.79 (define @t102 () (@var "Na" tptp.nat)) % 0.50/0.79 (define @t103 () (= @t102 tptp.zero_zero_nat)) % 0.50/0.79 (define @t104 () (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t102)) % 0.50/0.79 (define @t105 () (@list @t102)) % 0.50/0.79 (define @t106 () (tptp.hAPP_nat_int tptp.semiri1621563631at_int tptp.zero_zero_nat)) % 0.50/0.79 (define @t107 () (@var "K2" tptp.int)) % 0.50/0.79 (define @t108 () (@var "K1" tptp.int)) % 0.50/0.79 (define @t109 () (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t108) @t107))) % 0.50/0.79 (define @t110 () (tptp.bit1 @t107)) % 0.50/0.79 (define @t111 () (tptp.bit1 @t108)) % 0.50/0.79 (define @t112 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t111)) % 0.50/0.79 (define @t113 () (@list @t108 @t107)) % 0.50/0.79 (define @t114 () (tptp.bit1 @t69)) % 0.50/0.79 (define @t115 () (tptp.bit1 @t70)) % 0.50/0.79 (define @t116 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t115)) % 0.50/0.79 (define @t117 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.pls)) % 0.50/0.79 (define @t118 () (tptp.bit0 @t107)) % 0.50/0.79 (define @t119 () (tptp.bit0 @t108)) % 0.50/0.79 (define @t120 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t119)) % 0.50/0.79 (define @t121 () (tptp.bit0 @t69)) % 0.50/0.79 (define @t122 () (tptp.bit0 @t70)) % 0.50/0.79 (define @t123 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t122)) % 0.50/0.79 (define @t124 () (@var "K" tptp.int)) % 0.50/0.79 (define @t125 () (@var "J_2" tptp.int)) % 0.50/0.79 (define @t126 () (@var "I_2" tptp.int)) % 0.50/0.79 (define @t127 () (@list @t124 @t126 @t125)) % 0.50/0.79 (define @t128 () (@var "V_10" tptp.int)) % 0.50/0.79 (define @t129 () (tptp.number_number_of_nat @t128)) % 0.50/0.79 (define @t130 () (tptp.number_number_of_nat @t77)) % 0.50/0.79 (define @t131 () (tptp.plus_plus_nat @t130)) % 0.50/0.79 (define @t132 () (tptp.hAPP_nat_nat @t131 @t129)) % 0.50/0.79 (define @t133 () (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t128) tptp.pls))) % 0.50/0.79 (define @t134 () (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t77) tptp.pls))) % 0.50/0.79 (define @t135 () (not @t134)) % 0.50/0.79 (define @t136 () (tptp.number_number_of_nat @t11)) % 0.50/0.79 (define @t137 () (= @t8 @t6)) % 0.50/0.79 (define @t138 () (@var "Wa" tptp.int)) % 0.50/0.79 (define @t139 () (tptp.number_number_of_nat @t138)) % 0.50/0.79 (define @t140 () (@var "Xa" tptp.nat)) % 0.50/0.79 (define @t141 () (tptp.number_number_of_int @t138)) % 0.50/0.79 (define @t142 () (tptp.number267125858f_real @t138)) % 0.50/0.79 (define @t143 () (= @t70 @t69)) % 0.50/0.79 (define @t144 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t29)) % 0.50/0.79 (define @t145 () (tptp.plus_plus_int @t29)) % 0.50/0.79 (define @t146 () (tptp.hAPP_int_int @t145 @t29)) % 0.50/0.79 (define @t147 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t34)) % 0.50/0.79 (define @t148 () (tptp.plus_plus_real @t34)) % 0.50/0.79 (define @t149 () (tptp.hAPP_real_real @t148 @t34)) % 0.50/0.79 (define @t150 () (@var "Z3" tptp.int)) % 0.50/0.79 (define @t151 () (@var "Z2" tptp.int)) % 0.50/0.79 (define @t152 () (@var "Z1" tptp.int)) % 0.50/0.79 (define @t153 () (tptp.plus_plus_int @t152)) % 0.50/0.79 (define @t154 () (tptp.plus_plus_int @t52)) % 0.50/0.79 (define @t155 () (tptp.plus_plus_int @t67)) % 0.50/0.79 (define @t156 () (tptp.plus_plus_int @t76)) % 0.50/0.79 (define @t157 () (tptp.hAPP_int_int @t156 @t94)) % 0.50/0.79 (define @t158 () (tptp.plus_plus_int @t94)) % 0.50/0.79 (define @t159 () (@list @t94 @t76)) % 0.50/0.79 (define @t160 () (@var "Ma" tptp.nat)) % 0.50/0.79 (define @t161 () (= @t160 @t102)) % 0.50/0.79 (define @t162 () (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t160)) % 0.50/0.79 (define @t163 () (@list @t160 @t102)) % 0.50/0.79 (define @t164 () (tptp.hBOOL (tptp.hAPP_int_bool @t79 tptp.pls))) % 0.50/0.79 (define @t165 () (@list @t8)) % 0.50/0.79 (define @t166 () (tptp.hBOOL (tptp.hAPP_int_bool @t117 @t6))) % 0.50/0.79 (define @t167 () (@list @t6)) % 0.50/0.79 (define @t168 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real)) % 0.50/0.79 (define @t169 () (tptp.hBOOL (tptp.hAPP_int_bool @t71 tptp.pls))) % 0.50/0.79 (define @t170 () (@list @t70)) % 0.50/0.79 (define @t171 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t138)) % 0.50/0.79 (define @t172 () (tptp.hBOOL (tptp.hAPP_int_bool @t171 tptp.zero_zero_int))) % 0.50/0.79 (define @t173 () (@list @t138)) % 0.50/0.79 (define @t174 () (tptp.hAPP_int_bool @t117 tptp.zero_zero_int)) % 0.50/0.79 (define @t175 () (@var "Z_3" tptp.int)) % 0.50/0.79 (define @t176 () (tptp.hBOOL (tptp.hAPP_int_bool @t171 @t175))) % 0.50/0.79 (define @t177 () (tptp.hBOOL (tptp.hAPP_int_bool @t171 (tptp.hAPP_int_int (tptp.plus_plus_int @t175) tptp.one_one_int)))) % 0.50/0.79 (define @t178 () (@list @t138 @t175)) % 0.50/0.79 (define @t179 () (@var "K" tptp.nat)) % 0.50/0.79 (define @t180 () (tptp.hBOOL (tptp.hAPP_int_bool @t79 @t11))) % 0.50/0.79 (define @t181 () (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t11) @t6))) % 0.50/0.79 (define @t182 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real)) % 0.50/0.79 (define @t183 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t175)) % 0.50/0.79 (define @t184 () (@list @t175)) % 0.50/0.79 (define @t185 () (tptp.bit1 @t124)) % 0.50/0.79 (define @t186 () (@list @t124)) % 0.50/0.79 (define @t187 () (@var "L" tptp.int)) % 0.50/0.79 (define @t188 () (tptp.bit1 @t187)) % 0.50/0.79 (define @t189 () (tptp.bit0 @t187)) % 0.50/0.79 (define @t190 () (@list @t124 @t187)) % 0.50/0.79 (define @t191 () (tptp.bit0 @t124)) % 0.50/0.79 (define @t192 () (tptp.plus_plus_int @t124)) % 0.50/0.79 (define @t193 () (tptp.hAPP_int_int @t192 @t187)) % 0.50/0.79 (define @t194 () (tptp.plus_plus_int @t191)) % 0.50/0.79 (define @t195 () (@list @t94)) % 0.50/0.79 (define @t196 () (tptp.plus_plus_int tptp.zero_zero_int)) % 0.50/0.79 (define @t197 () (tptp.number267125858f_real tptp.pls)) % 0.50/0.79 (define @t198 () (@var "A_68" tptp.int)) % 0.50/0.79 (define @t199 () (@var "A_68" tptp.real)) % 0.50/0.79 (define @t200 () (@var "A_67" tptp.int)) % 0.50/0.79 (define @t201 () (@var "A_67" tptp.real)) % 0.50/0.79 (define @t202 () (= @t139 tptp.zero_zero_nat)) % 0.50/0.79 (define @t203 () (not @t202)) % 0.50/0.79 (define @t204 () (@var "A_24" tptp.nat)) % 0.50/0.79 (define @t205 () (= @t204 tptp.zero_zero_nat)) % 0.50/0.79 (define @t206 () (tptp.power_power_nat @t204)) % 0.50/0.79 (define @t207 () (@var "Z_5" tptp.int)) % 0.50/0.79 (define @t208 () (@var "W_6" tptp.int)) % 0.50/0.79 (define @t209 () (@var "V_9" tptp.int)) % 0.50/0.79 (define @t210 () (tptp.hAPP_int_int (tptp.plus_plus_int @t209) @t208)) % 0.50/0.79 (define @t211 () (@var "Z_5" tptp.real)) % 0.50/0.79 (define @t212 () (@var "W_5" tptp.int)) % 0.50/0.79 (define @t213 () (@var "V_8" tptp.int)) % 0.50/0.79 (define @t214 () (tptp.hAPP_int_int (tptp.plus_plus_int @t213) @t212)) % 0.50/0.79 (define @t215 () (@list @t213 @t212)) % 0.50/0.79 (define @t216 () (@var "W_4" tptp.int)) % 0.50/0.79 (define @t217 () (@var "V_7" tptp.int)) % 0.50/0.79 (define @t218 () (tptp.hAPP_int_int (tptp.plus_plus_int @t217) @t216)) % 0.50/0.79 (define @t219 () (@list @t217 @t216)) % 0.50/0.79 (define @t220 () (tptp.bit1 @t193)) % 0.50/0.79 (define @t221 () (tptp.plus_plus_int @t185)) % 0.50/0.79 (define @t222 () (tptp.hAPP_int_int @t1 @t94)) % 0.50/0.79 (define @t223 () (@var "N_29" tptp.nat)) % 0.50/0.79 (define @t224 () (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t223)) % 0.50/0.79 (define @t225 () (@list @t223)) % 0.50/0.79 (define @t226 () (@var "A_66" tptp.int)) % 0.50/0.79 (define @t227 () (@var "A_66" tptp.real)) % 0.50/0.79 (define @t228 () (@var "Y_13" tptp.int)) % 0.50/0.79 (define @t229 () (@var "X_16" tptp.int)) % 0.50/0.79 (define @t230 () (@var "Y_13" tptp.real)) % 0.50/0.79 (define @t231 () (@var "X_16" tptp.real)) % 0.50/0.79 (define @t232 () (@var "W_3" tptp.int)) % 0.50/0.79 (define @t233 () (tptp.number_number_of_int @t232)) % 0.50/0.79 (define @t234 () (tptp.bit0 @t232)) % 0.50/0.79 (define @t235 () (@list @t232)) % 0.50/0.79 (define @t236 () (tptp.number267125858f_real @t232)) % 0.50/0.79 (define @t237 () (tptp.plus_plus_real tptp.zero_zero_real)) % 0.50/0.79 (define @t238 () (@var "W_2" tptp.int)) % 0.50/0.79 (define @t239 () (tptp.number_number_of_int @t238)) % 0.50/0.79 (define @t240 () (tptp.bit1 @t238)) % 0.50/0.79 (define @t241 () (@list @t238)) % 0.50/0.79 (define @t242 () (tptp.number267125858f_real @t238)) % 0.50/0.79 (define @t243 () (@var "N_28" tptp.nat)) % 0.50/0.79 (define @t244 () (@list @t243)) % 0.50/0.79 (define @t245 () (tptp.power_power_real @t48)) % 0.50/0.79 (define @t246 () (tptp.bit1 @t11)) % 0.50/0.79 (define @t247 () (tptp.number_number_of_int @t246)) % 0.50/0.79 (define @t248 () (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t102))) % 0.50/0.79 (define @t249 () (tptp.hAPP_nat_nat tptp.semiri984289939at_nat @t102)) % 0.50/0.79 (define @t250 () (tptp.hAPP_nat_real tptp.semiri132038758t_real @t102)) % 0.50/0.79 (define @t251 () (@var "N_27" tptp.nat)) % 0.50/0.79 (define @t252 () (@var "A_65" tptp.int)) % 0.50/0.79 (define @t253 () (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t251))) % 0.50/0.79 (define @t254 () (@var "A_65" tptp.nat)) % 0.50/0.79 (define @t255 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat)) % 0.50/0.79 (define @t256 () (@var "A_65" tptp.real)) % 0.50/0.79 (define @t257 () (@var "N_26" tptp.nat)) % 0.50/0.79 (define @t258 () (tptp.hAPP_nat_int @t26 @t257)) % 0.50/0.79 (define @t259 () (= @t257 tptp.zero_zero_nat)) % 0.50/0.79 (define @t260 () (not @t259)) % 0.50/0.79 (define @t261 () (@list @t257)) % 0.50/0.79 (define @t262 () (tptp.hAPP_nat_nat @t27 @t257)) % 0.50/0.79 (define @t263 () (tptp.hAPP_nat_real @t28 @t257)) % 0.50/0.79 (define @t264 () (@var "N_25" tptp.nat)) % 0.50/0.79 (define @t265 () (@var "A_64" tptp.int)) % 0.50/0.79 (define @t266 () (tptp.power_power_int @t265)) % 0.50/0.79 (define @t267 () (@var "N_24" tptp.nat)) % 0.50/0.79 (define @t268 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t264) @t267))) % 0.50/0.79 (define @t269 () (@var "A_64" tptp.nat)) % 0.50/0.79 (define @t270 () (tptp.power_power_nat @t269)) % 0.50/0.79 (define @t271 () (@var "A_64" tptp.real)) % 0.50/0.79 (define @t272 () (tptp.power_power_real @t271)) % 0.50/0.79 (define @t273 () (@var "I" tptp.int)) % 0.50/0.79 (define @t274 () (@var "P_1" tptp.fun_int_bool)) % 0.50/0.79 (define @t275 () (tptp.hBOOL (tptp.hAPP_int_bool @t274 @t273))) % 0.50/0.79 (define @t276 () (@var "I_1" tptp.int)) % 0.50/0.79 (define @t277 () (=> (tptp.hBOOL (tptp.hAPP_int_bool @t274 @t276)) (tptp.hBOOL (tptp.hAPP_int_bool @t274 (tptp.hAPP_int_int (tptp.plus_plus_int @t276) tptp.one_one_int))))) % 0.50/0.79 (define @t278 () (@list @t276)) % 0.50/0.79 (define @t279 () (@list @t274 @t70 @t273)) % 0.50/0.79 (define @t280 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t88)) % 0.50/0.79 (define @t281 () (@list @t88)) % 0.50/0.79 (define @t282 () (@var "I_2" tptp.nat)) % 0.50/0.79 (define @t283 () (@var "J_2" tptp.nat)) % 0.50/0.79 (define @t284 () (tptp.plus_plus_nat @t282)) % 0.50/0.79 (define @t285 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t284 @t283))) % 0.50/0.79 (define @t286 () (@list @t282 @t283)) % 0.50/0.79 (define @t287 () (tptp.plus_plus_nat @t283)) % 0.50/0.79 (define @t288 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t102) @t160))) % 0.50/0.79 (define @t289 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t160) @t102))) % 0.50/0.79 (define @t290 () (not @t161)) % 0.50/0.79 (define @t291 () (tptp.plus_plus_nat @t88)) % 0.50/0.79 (define @t292 () (tptp.hAPP_nat_nat @t291 @t89)) % 0.50/0.79 (define @t293 () (@var "Z_2" tptp.nat)) % 0.50/0.79 (define @t294 () (@var "X" tptp.nat)) % 0.50/0.79 (define @t295 () (tptp.plus_plus_nat @t294)) % 0.50/0.79 (define @t296 () (@var "Y" tptp.nat)) % 0.50/0.79 (define @t297 () (tptp.plus_plus_nat @t296)) % 0.50/0.79 (define @t298 () (@var "K_2" tptp.nat)) % 0.50/0.79 (define @t299 () (tptp.plus_plus_nat @t298)) % 0.50/0.79 (define @t300 () (tptp.hAPP_nat_nat @t299 @t102)) % 0.50/0.79 (define @t301 () (tptp.hAPP_nat_nat @t299 @t160)) % 0.50/0.79 (define @t302 () (@list @t298 @t160 @t102)) % 0.50/0.79 (define @t303 () (tptp.plus_plus_nat @t160)) % 0.50/0.79 (define @t304 () (tptp.hAPP_nat_nat @t303 @t298)) % 0.50/0.79 (define @t305 () (@list @t294 @t296)) % 0.50/0.79 (define @t306 () (= @t89 @t88)) % 0.50/0.79 (define @t307 () (not @t306)) % 0.50/0.79 (define @t308 () (@list @t88 @t89)) % 0.50/0.79 (define @t309 () (@var "T" tptp.nat)) % 0.50/0.79 (define @t310 () (@var "S" tptp.nat)) % 0.50/0.79 (define @t311 () (tptp.hAPP_nat_nat @t287 @t89)) % 0.50/0.79 (define @t312 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t282)) % 0.50/0.79 (define @t313 () (tptp.hBOOL (tptp.hAPP_nat_bool @t312 @t283))) % 0.50/0.79 (define @t314 () (@list @t89 @t282 @t283)) % 0.50/0.79 (define @t315 () (tptp.hAPP_nat_nat @t95 @t283)) % 0.50/0.79 (define @t316 () (tptp.hAPP_nat_nat @t287 @t179)) % 0.50/0.79 (define @t317 () (tptp.hAPP_nat_nat @t284 @t179)) % 0.50/0.79 (define @t318 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t317)) % 0.50/0.79 (define @t319 () (@list @t179 @t282 @t283)) % 0.50/0.79 (define @t320 () (@var "L" tptp.nat)) % 0.50/0.79 (define @t321 () (tptp.hAPP_nat_nat @t287 @t320)) % 0.50/0.79 (define @t322 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t179) @t320))) % 0.50/0.79 (define @t323 () (@list @t179 @t320 @t282 @t283)) % 0.50/0.79 (define @t324 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t89) @t88))) % 0.50/0.79 (define @t325 () (@var "P_1" tptp.fun_nat_fun_nat_bool)) % 0.50/0.79 (define @t326 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool @t325 @t102) @t160))) % 0.50/0.79 (define @t327 () (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t88))) % 0.50/0.79 (define @t328 () (= @t88 tptp.zero_zero_nat)) % 0.50/0.79 (define @t329 () (not @t328)) % 0.50/0.79 (define @t330 () (tptp.power_power_nat @t282)) % 0.50/0.79 (define @t331 () (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t140))) % 0.50/0.79 (define @t332 () (tptp.power_power_nat @t140)) % 0.50/0.79 (define @t333 () (tptp.hAPP_nat_nat @t332 @t102)) % 0.50/0.79 (define @t334 () (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t333))) % 0.50/0.79 (define @t335 () (@list @t140 @t102)) % 0.50/0.79 (define @t336 () (tptp.hAPP_nat_nat @t303 @t102)) % 0.50/0.79 (define @t337 () (not @t103)) % 0.50/0.79 (define @t338 () (@var "Ya" tptp.nat)) % 0.50/0.79 (define @t339 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t140) @t338))) % 0.50/0.79 (define @t340 () (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t338)) % 0.50/0.79 (define @t341 () (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t140)) % 0.50/0.79 (define @t342 () (@list @t140 @t338)) % 0.50/0.79 (define @t343 () (@var "V" tptp.int)) % 0.50/0.79 (define @t344 () (@var "Va" tptp.int)) % 0.50/0.79 (define @t345 () (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t344) @t343))) % 0.50/0.79 (define @t346 () (tptp.number_number_of_nat @t343)) % 0.50/0.79 (define @t347 () (tptp.number_number_of_nat @t344)) % 0.50/0.79 (define @t348 () (@list @t344 @t343)) % 0.50/0.79 (define @t349 () (@var "X_15" tptp.real)) % 0.50/0.79 (define @t350 () (@var "Y_12" tptp.real)) % 0.50/0.79 (define @t351 () (@var "X_15" tptp.int)) % 0.50/0.79 (define @t352 () (@var "Y_12" tptp.int)) % 0.50/0.79 (define @t353 () (= @t160 tptp.zero_zero_nat)) % 0.50/0.79 (define @t354 () (tptp.plus_plus_nat tptp.zero_zero_nat)) % 0.50/0.79 (define @t355 () (@var "A_63" tptp.real)) % 0.50/0.79 (define @t356 () (@var "A_63" tptp.nat)) % 0.50/0.79 (define @t357 () (@var "A_63" tptp.int)) % 0.50/0.79 (define @t358 () (tptp.hAPP_nat_real tptp.semiri132038758t_real @t160)) % 0.50/0.79 (define @t359 () (tptp.hAPP_nat_nat tptp.semiri984289939at_nat @t160)) % 0.50/0.79 (define @t360 () (= @t140 @t338)) % 0.50/0.79 (define @t361 () (@var "P_1" tptp.bool)) % 0.50/0.79 (define @t362 () (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.if_nat @t361 @t140) @t338))) % 0.50/0.79 (define @t363 () (tptp.hBOOL @t361)) % 0.50/0.79 (define @t364 () (@list @t344)) % 0.50/0.79 (define @t365 () (@var "N_23" tptp.nat)) % 0.50/0.79 (define @t366 () (@var "A_62" tptp.real)) % 0.50/0.79 (define @t367 () (@var "A_62" tptp.int)) % 0.50/0.79 (define @t368 () (@var "N_22" tptp.nat)) % 0.50/0.79 (define @t369 () (@list @t368)) % 0.50/0.79 (define @t370 () (@var "N_21" tptp.nat)) % 0.50/0.79 (define @t371 () (@var "M_9" tptp.nat)) % 0.50/0.79 (define @t372 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t371) @t370))) % 0.50/0.79 (define @t373 () (@list @t371 @t370)) % 0.50/0.79 (define @t374 () (@var "N_20" tptp.nat)) % 0.50/0.79 (define @t375 () (@var "M_8" tptp.nat)) % 0.50/0.79 (define @t376 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t375) @t374))) % 0.50/0.79 (define @t377 () (@list @t375 @t374)) % 0.50/0.79 (define @t378 () (@var "N_19" tptp.nat)) % 0.50/0.79 (define @t379 () (@var "M_7" tptp.nat)) % 0.50/0.79 (define @t380 () (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t379) @t378)) % 0.50/0.79 (define @t381 () (@list @t379 @t378)) % 0.50/0.79 (define @t382 () (@var "N_18" tptp.nat)) % 0.50/0.79 (define @t383 () (@var "M_6" tptp.nat)) % 0.50/0.79 (define @t384 () (tptp.hAPP_nat_nat (tptp.power_power_nat @t383) @t382)) % 0.50/0.79 (define @t385 () (@list @t383 @t382)) % 0.50/0.79 (define @t386 () (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t294)) % 0.50/0.79 (define @t387 () (@var "C_31" tptp.real)) % 0.50/0.79 (define @t388 () (@var "A_61" tptp.real)) % 0.50/0.79 (define @t389 () (@var "B_41" tptp.real)) % 0.50/0.79 (define @t390 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t389)) % 0.50/0.79 (define @t391 () (@var "C_31" tptp.nat)) % 0.50/0.79 (define @t392 () (@var "A_61" tptp.nat)) % 0.50/0.79 (define @t393 () (@var "B_41" tptp.nat)) % 0.50/0.79 (define @t394 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t393)) % 0.50/0.79 (define @t395 () (@var "C_31" tptp.int)) % 0.50/0.79 (define @t396 () (@var "A_61" tptp.int)) % 0.50/0.79 (define @t397 () (@var "B_41" tptp.int)) % 0.50/0.79 (define @t398 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t397)) % 0.50/0.79 (define @t399 () (@var "N_17" tptp.nat)) % 0.50/0.79 (define @t400 () (@var "A_60" tptp.real)) % 0.50/0.79 (define @t401 () (@var "A_60" tptp.nat)) % 0.50/0.79 (define @t402 () (@var "A_60" tptp.int)) % 0.50/0.79 (define @t403 () (tptp.hBOOL (tptp.hAPP_int_bool @t3 (tptp.hAPP_nat_int (tptp.power_power_int @t402) @t399)))) % 0.50/0.79 (define @t404 () (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t402))) % 0.50/0.79 (define @t405 () (@list @t399 @t402)) % 0.50/0.79 (define @t406 () (forall @t405 (=> @t404 @t403))) % 0.50/0.79 (define @t407 () (@var "A_59" tptp.real)) % 0.50/0.79 (define @t408 () (@var "A_59" tptp.nat)) % 0.50/0.79 (define @t409 () (@var "A_59" tptp.int)) % 0.50/0.79 (define @t410 () (tptp.hAPP_nat_real @t36 @t102)) % 0.50/0.79 (define @t411 () (tptp.hAPP_nat_nat @t206 @t102)) % 0.50/0.79 (define @t412 () (tptp.hAPP_nat_int @t31 @t102)) % 0.50/0.79 (define @t413 () (@var "B_21" tptp.real)) % 0.50/0.79 (define @t414 () (tptp.power_power_real @t413)) % 0.50/0.79 (define @t415 () (tptp.hAPP_nat_real @t414 @t338)) % 0.50/0.79 (define @t416 () (tptp.hAPP_nat_real @t414 @t140)) % 0.50/0.79 (define @t417 () (tptp.hBOOL (tptp.hAPP_real_bool @t182 @t413))) % 0.50/0.79 (define @t418 () (@list @t140 @t338 @t413)) % 0.50/0.79 (define @t419 () (@var "B_21" tptp.nat)) % 0.50/0.79 (define @t420 () (tptp.power_power_nat @t419)) % 0.50/0.79 (define @t421 () (tptp.hAPP_nat_nat @t420 @t338)) % 0.50/0.79 (define @t422 () (tptp.hAPP_nat_nat @t420 @t140)) % 0.50/0.79 (define @t423 () (tptp.hBOOL (tptp.hAPP_nat_bool @t255 @t419))) % 0.50/0.79 (define @t424 () (@list @t140 @t338 @t419)) % 0.50/0.79 (define @t425 () (@var "B_21" tptp.int)) % 0.50/0.79 (define @t426 () (tptp.power_power_int @t425)) % 0.50/0.79 (define @t427 () (tptp.hAPP_nat_int @t426 @t338)) % 0.50/0.79 (define @t428 () (tptp.hAPP_nat_int @t426 @t140)) % 0.50/0.79 (define @t429 () (tptp.hBOOL (tptp.hAPP_int_bool @t5 @t425))) % 0.50/0.79 (define @t430 () (@list @t140 @t338 @t425)) % 0.50/0.79 (define @t431 () (@var "N_16" tptp.nat)) % 0.50/0.79 (define @t432 () (@var "M_5" tptp.nat)) % 0.50/0.79 (define @t433 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t432) @t431))) % 0.50/0.79 (define @t434 () (@var "A_58" tptp.real)) % 0.50/0.79 (define @t435 () (tptp.power_power_real @t434)) % 0.50/0.79 (define @t436 () (@var "A_58" tptp.nat)) % 0.50/0.79 (define @t437 () (tptp.power_power_nat @t436)) % 0.50/0.79 (define @t438 () (@var "A_58" tptp.int)) % 0.50/0.79 (define @t439 () (tptp.power_power_int @t438)) % 0.50/0.79 (define @t440 () (@var "N_14" tptp.nat)) % 0.50/0.79 (define @t441 () (@var "A_57" tptp.real)) % 0.50/0.79 (define @t442 () (tptp.power_power_real @t441)) % 0.50/0.79 (define @t443 () (@var "N_15" tptp.nat)) % 0.50/0.79 (define @t444 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t443) @t440))) % 0.50/0.79 (define @t445 () (@var "A_57" tptp.nat)) % 0.50/0.79 (define @t446 () (tptp.power_power_nat @t445)) % 0.50/0.79 (define @t447 () (@var "A_57" tptp.int)) % 0.50/0.79 (define @t448 () (tptp.power_power_int @t447)) % 0.50/0.79 (define @t449 () (@var "M_4" tptp.nat)) % 0.50/0.79 (define @t450 () (@list @t449)) % 0.50/0.79 (define @t451 () (@var "A_56" tptp.real)) % 0.50/0.79 (define @t452 () (@var "A_56" tptp.nat)) % 0.50/0.79 (define @t453 () (@var "A_56" tptp.int)) % 0.50/0.79 (define @t454 () (@var "N" tptp.nat)) % 0.50/0.79 (define @t455 () (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t454)) % 0.50/0.79 (define @t456 () (= @t124 @t455)) % 0.50/0.79 (define @t457 () (@list @t454)) % 0.50/0.79 (define @t458 () (@var "K_1" tptp.nat)) % 0.50/0.79 (define @t459 () (@list @t458)) % 0.50/0.79 (define @t460 () (= @t140 tptp.one_one_nat)) % 0.50/0.79 (define @t461 () (@var "X_14" tptp.real)) % 0.50/0.79 (define @t462 () (@var "X_14" tptp.nat)) % 0.50/0.79 (define @t463 () (@var "X_14" tptp.int)) % 0.50/0.79 (define @t464 () (@list @t18)) % 0.50/0.79 (define @t465 () (= @t140 tptp.zero_zero_nat)) % 0.50/0.79 (define @t466 () (@list @t140)) % 0.50/0.79 (define @t467 () (@var "C_30" tptp.real)) % 0.50/0.79 (define @t468 () (@var "B_40" tptp.real)) % 0.50/0.79 (define @t469 () (@var "A_55" tptp.real)) % 0.50/0.79 (define @t470 () (@var "C_30" tptp.nat)) % 0.50/0.79 (define @t471 () (@var "B_40" tptp.nat)) % 0.50/0.79 (define @t472 () (@var "A_55" tptp.nat)) % 0.50/0.79 (define @t473 () (@var "C_30" tptp.int)) % 0.50/0.79 (define @t474 () (@var "B_40" tptp.int)) % 0.50/0.79 (define @t475 () (@var "A_55" tptp.int)) % 0.50/0.79 (define @t476 () (@var "C_29" tptp.real)) % 0.50/0.79 (define @t477 () (@var "B_39" tptp.real)) % 0.50/0.79 (define @t478 () (@var "A_54" tptp.real)) % 0.50/0.79 (define @t479 () (tptp.plus_plus_real @t478)) % 0.50/0.79 (define @t480 () (@var "C_29" tptp.nat)) % 0.50/0.79 (define @t481 () (@var "B_39" tptp.nat)) % 0.50/0.79 (define @t482 () (@var "A_54" tptp.nat)) % 0.50/0.79 (define @t483 () (tptp.plus_plus_nat @t482)) % 0.50/0.79 (define @t484 () (@var "C_29" tptp.int)) % 0.50/0.79 (define @t485 () (@var "B_39" tptp.int)) % 0.50/0.79 (define @t486 () (@var "A_54" tptp.int)) % 0.50/0.79 (define @t487 () (tptp.plus_plus_int @t486)) % 0.50/0.79 (define @t488 () (@var "C_28" tptp.real)) % 0.50/0.79 (define @t489 () (@var "B_38" tptp.real)) % 0.50/0.79 (define @t490 () (@var "A_53" tptp.real)) % 0.50/0.79 (define @t491 () (tptp.plus_plus_real @t490)) % 0.50/0.79 (define @t492 () (@var "C_28" tptp.nat)) % 0.50/0.79 (define @t493 () (@var "B_38" tptp.nat)) % 0.50/0.79 (define @t494 () (@var "A_53" tptp.nat)) % 0.50/0.79 (define @t495 () (tptp.plus_plus_nat @t494)) % 0.50/0.79 (define @t496 () (@var "C_28" tptp.int)) % 0.50/0.79 (define @t497 () (@var "B_38" tptp.int)) % 0.50/0.79 (define @t498 () (@var "A_53" tptp.int)) % 0.50/0.79 (define @t499 () (tptp.plus_plus_int @t498)) % 0.50/0.79 (define @t500 () (@var "D_6" tptp.real)) % 0.50/0.79 (define @t501 () (@var "B_37" tptp.real)) % 0.50/0.79 (define @t502 () (@var "C_27" tptp.real)) % 0.50/0.79 (define @t503 () (@var "A_52" tptp.real)) % 0.50/0.79 (define @t504 () (tptp.plus_plus_real @t503)) % 0.50/0.79 (define @t505 () (@var "D_6" tptp.nat)) % 0.50/0.79 (define @t506 () (@var "B_37" tptp.nat)) % 0.50/0.79 (define @t507 () (@var "C_27" tptp.nat)) % 0.50/0.79 (define @t508 () (@var "A_52" tptp.nat)) % 0.50/0.79 (define @t509 () (tptp.plus_plus_nat @t508)) % 0.50/0.79 (define @t510 () (@var "D_6" tptp.int)) % 0.50/0.79 (define @t511 () (@var "B_37" tptp.int)) % 0.50/0.79 (define @t512 () (@var "C_27" tptp.int)) % 0.50/0.79 (define @t513 () (@var "A_52" tptp.int)) % 0.50/0.79 (define @t514 () (tptp.plus_plus_int @t513)) % 0.50/0.79 (define @t515 () (@var "C_15" tptp.real)) % 0.50/0.79 (define @t516 () (= @t413 @t515)) % 0.50/0.79 (define @t517 () (tptp.plus_plus_real @t515)) % 0.50/0.79 (define @t518 () (tptp.hAPP_real_real @t517 @t34)) % 0.50/0.79 (define @t519 () (tptp.plus_plus_real @t413)) % 0.50/0.79 (define @t520 () (tptp.hAPP_real_real @t519 @t34)) % 0.50/0.79 (define @t521 () (@var "C_15" tptp.nat)) % 0.50/0.79 (define @t522 () (= @t419 @t521)) % 0.50/0.79 (define @t523 () (tptp.plus_plus_nat @t521)) % 0.50/0.79 (define @t524 () (tptp.hAPP_nat_nat @t523 @t204)) % 0.50/0.79 (define @t525 () (tptp.plus_plus_nat @t419)) % 0.50/0.79 (define @t526 () (tptp.hAPP_nat_nat @t525 @t204)) % 0.50/0.79 (define @t527 () (@var "C_15" tptp.int)) % 0.50/0.79 (define @t528 () (= @t425 @t527)) % 0.50/0.79 (define @t529 () (tptp.plus_plus_int @t527)) % 0.50/0.79 (define @t530 () (tptp.hAPP_int_int @t529 @t29)) % 0.50/0.79 (define @t531 () (tptp.plus_plus_int @t425)) % 0.50/0.79 (define @t532 () (tptp.hAPP_int_int @t531 @t29)) % 0.50/0.79 (define @t533 () (tptp.hAPP_real_real @t148 @t515)) % 0.50/0.79 (define @t534 () (tptp.plus_plus_nat @t204)) % 0.50/0.79 (define @t535 () (tptp.hAPP_nat_nat @t534 @t521)) % 0.50/0.79 (define @t536 () (tptp.hAPP_int_int @t145 @t527)) % 0.50/0.79 (define @t537 () (@var "B_36" tptp.real)) % 0.50/0.79 (define @t538 () (@var "C_26" tptp.real)) % 0.50/0.79 (define @t539 () (@var "A_51" tptp.real)) % 0.50/0.79 (define @t540 () (tptp.plus_plus_real @t539)) % 0.50/0.79 (define @t541 () (@var "B_36" tptp.nat)) % 0.50/0.79 (define @t542 () (@var "C_26" tptp.nat)) % 0.50/0.79 (define @t543 () (@var "A_51" tptp.nat)) % 0.50/0.79 (define @t544 () (tptp.plus_plus_nat @t543)) % 0.50/0.79 (define @t545 () (@var "B_36" tptp.int)) % 0.50/0.79 (define @t546 () (@var "C_26" tptp.int)) % 0.50/0.79 (define @t547 () (@var "A_51" tptp.int)) % 0.50/0.79 (define @t548 () (tptp.plus_plus_int @t547)) % 0.50/0.79 (define @t549 () (@var "C_25" tptp.real)) % 0.50/0.79 (define @t550 () (@var "B_35" tptp.real)) % 0.50/0.79 (define @t551 () (@var "A_50" tptp.real)) % 0.50/0.79 (define @t552 () (tptp.plus_plus_real @t551)) % 0.50/0.79 (define @t553 () (@var "C_25" tptp.nat)) % 0.50/0.79 (define @t554 () (@var "B_35" tptp.nat)) % 0.50/0.79 (define @t555 () (@var "A_50" tptp.nat)) % 0.50/0.79 (define @t556 () (tptp.plus_plus_nat @t555)) % 0.50/0.79 (define @t557 () (@var "C_25" tptp.int)) % 0.50/0.79 (define @t558 () (@var "B_35" tptp.int)) % 0.50/0.79 (define @t559 () (@var "A_50" tptp.int)) % 0.50/0.79 (define @t560 () (tptp.plus_plus_int @t559)) % 0.50/0.79 (define @t561 () (@var "C_24" tptp.real)) % 0.50/0.79 (define @t562 () (@var "B_34" tptp.real)) % 0.50/0.79 (define @t563 () (@var "A_49" tptp.real)) % 0.50/0.79 (define @t564 () (tptp.plus_plus_real @t563)) % 0.50/0.79 (define @t565 () (@var "C_24" tptp.nat)) % 0.50/0.79 (define @t566 () (@var "B_34" tptp.nat)) % 0.50/0.79 (define @t567 () (@var "A_49" tptp.nat)) % 0.50/0.79 (define @t568 () (tptp.plus_plus_nat @t567)) % 0.50/0.79 (define @t569 () (@var "C_24" tptp.int)) % 0.50/0.79 (define @t570 () (@var "B_34" tptp.int)) % 0.50/0.79 (define @t571 () (@var "A_49" tptp.int)) % 0.50/0.79 (define @t572 () (tptp.plus_plus_int @t571)) % 0.50/0.79 (define @t573 () (@var "D_5" tptp.real)) % 0.50/0.79 (define @t574 () (@var "C_23" tptp.real)) % 0.50/0.79 (define @t575 () (@var "A_48" tptp.real)) % 0.50/0.79 (define @t576 () (tptp.plus_plus_real @t575)) % 0.50/0.79 (define @t577 () (@var "D_5" tptp.nat)) % 0.50/0.79 (define @t578 () (@var "C_23" tptp.nat)) % 0.50/0.79 (define @t579 () (@var "A_48" tptp.nat)) % 0.50/0.79 (define @t580 () (tptp.plus_plus_nat @t579)) % 0.50/0.79 (define @t581 () (@var "D_5" tptp.int)) % 0.50/0.79 (define @t582 () (@var "C_23" tptp.int)) % 0.50/0.79 (define @t583 () (@var "A_48" tptp.int)) % 0.50/0.79 (define @t584 () (tptp.plus_plus_int @t583)) % 0.50/0.79 (define @t585 () (@var "D_4" tptp.real)) % 0.50/0.79 (define @t586 () (@var "A_47" tptp.real)) % 0.50/0.79 (define @t587 () (tptp.plus_plus_real @t586)) % 0.50/0.79 (define @t588 () (@var "C_22" tptp.real)) % 0.50/0.79 (define @t589 () (tptp.plus_plus_real @t588)) % 0.50/0.79 (define @t590 () (@var "D_4" tptp.nat)) % 0.50/0.79 (define @t591 () (@var "A_47" tptp.nat)) % 0.50/0.79 (define @t592 () (tptp.plus_plus_nat @t591)) % 0.50/0.79 (define @t593 () (@var "C_22" tptp.nat)) % 0.50/0.79 (define @t594 () (tptp.plus_plus_nat @t593)) % 0.50/0.79 (define @t595 () (@var "D_4" tptp.int)) % 0.50/0.79 (define @t596 () (@var "A_47" tptp.int)) % 0.50/0.79 (define @t597 () (tptp.plus_plus_int @t596)) % 0.50/0.79 (define @t598 () (@var "C_22" tptp.int)) % 0.50/0.79 (define @t599 () (tptp.plus_plus_int @t598)) % 0.50/0.79 (define @t600 () (@var "A_46" tptp.real)) % 0.50/0.79 (define @t601 () (@var "C_21" tptp.real)) % 0.50/0.79 (define @t602 () (@var "A_46" tptp.nat)) % 0.50/0.79 (define @t603 () (@var "C_21" tptp.nat)) % 0.50/0.79 (define @t604 () (@var "A_46" tptp.int)) % 0.50/0.79 (define @t605 () (@var "C_21" tptp.int)) % 0.50/0.79 (define @t606 () (@var "A_45" tptp.real)) % 0.50/0.79 (define @t607 () (@var "A_45" tptp.nat)) % 0.50/0.79 (define @t608 () (@var "A_45" tptp.int)) % 0.50/0.79 (define @t609 () (@var "A_44" tptp.real)) % 0.50/0.79 (define @t610 () (@var "A_44" tptp.nat)) % 0.50/0.79 (define @t611 () (@var "A_44" tptp.int)) % 0.50/0.79 (define @t612 () (@var "A_43" tptp.real)) % 0.50/0.79 (define @t613 () (@var "A_43" tptp.nat)) % 0.50/0.79 (define @t614 () (@var "A_43" tptp.int)) % 0.50/0.79 (define @t615 () (@var "A_42" tptp.real)) % 0.50/0.79 (define @t616 () (@var "A_42" tptp.nat)) % 0.50/0.79 (define @t617 () (@var "A_42" tptp.int)) % 0.50/0.79 (define @t618 () (@var "A_41" tptp.real)) % 0.50/0.79 (define @t619 () (@var "A_41" tptp.nat)) % 0.50/0.79 (define @t620 () (@var "A_41" tptp.int)) % 0.50/0.79 (define @t621 () (@var "A_40" tptp.real)) % 0.50/0.79 (define @t622 () (@var "A_40" tptp.nat)) % 0.50/0.79 (define @t623 () (@var "A_40" tptp.int)) % 0.50/0.79 (define @t624 () (@var "B_33" tptp.real)) % 0.50/0.79 (define @t625 () (@var "A_39" tptp.real)) % 0.50/0.79 (define @t626 () (@var "C_20" tptp.real)) % 0.50/0.79 (define @t627 () (tptp.plus_plus_real @t626)) % 0.50/0.79 (define @t628 () (@var "B_33" tptp.nat)) % 0.50/0.79 (define @t629 () (@var "A_39" tptp.nat)) % 0.50/0.79 (define @t630 () (@var "C_20" tptp.nat)) % 0.50/0.79 (define @t631 () (tptp.plus_plus_nat @t630)) % 0.50/0.79 (define @t632 () (@var "B_33" tptp.int)) % 0.50/0.79 (define @t633 () (@var "A_39" tptp.int)) % 0.50/0.79 (define @t634 () (@var "C_20" tptp.int)) % 0.50/0.79 (define @t635 () (tptp.plus_plus_int @t634)) % 0.50/0.79 (define @t636 () (@var "B_32" tptp.real)) % 0.50/0.79 (define @t637 () (@var "A_38" tptp.real)) % 0.50/0.79 (define @t638 () (@var "C_19" tptp.real)) % 0.50/0.79 (define @t639 () (@var "B_32" tptp.nat)) % 0.50/0.79 (define @t640 () (@var "A_38" tptp.nat)) % 0.50/0.79 (define @t641 () (@var "C_19" tptp.nat)) % 0.50/0.79 (define @t642 () (@var "B_32" tptp.int)) % 0.50/0.79 (define @t643 () (@var "A_38" tptp.int)) % 0.50/0.79 (define @t644 () (@var "C_19" tptp.int)) % 0.50/0.79 (define @t645 () (@var "D_3" tptp.real)) % 0.50/0.79 (define @t646 () (@var "B_31" tptp.real)) % 0.50/0.79 (define @t647 () (@var "C_18" tptp.real)) % 0.50/0.79 (define @t648 () (@var "A_37" tptp.real)) % 0.50/0.79 (define @t649 () (@var "D_3" tptp.nat)) % 0.50/0.79 (define @t650 () (@var "B_31" tptp.nat)) % 0.50/0.79 (define @t651 () (@var "C_18" tptp.nat)) % 0.50/0.79 (define @t652 () (@var "A_37" tptp.nat)) % 0.50/0.79 (define @t653 () (@var "D_3" tptp.int)) % 0.50/0.79 (define @t654 () (@var "B_31" tptp.int)) % 0.50/0.79 (define @t655 () (@var "C_18" tptp.int)) % 0.50/0.79 (define @t656 () (@var "A_37" tptp.int)) % 0.50/0.79 (define @t657 () (@var "B_30" tptp.real)) % 0.50/0.79 (define @t658 () (@var "C_17" tptp.real)) % 0.50/0.79 (define @t659 () (tptp.plus_plus_real @t658)) % 0.50/0.79 (define @t660 () (@var "A_36" tptp.real)) % 0.50/0.79 (define @t661 () (@var "B_30" tptp.nat)) % 0.50/0.79 (define @t662 () (@var "C_17" tptp.nat)) % 0.50/0.79 (define @t663 () (tptp.plus_plus_nat @t662)) % 0.50/0.79 (define @t664 () (@var "A_36" tptp.nat)) % 0.50/0.79 (define @t665 () (@var "B_30" tptp.int)) % 0.50/0.79 (define @t666 () (@var "C_17" tptp.int)) % 0.50/0.79 (define @t667 () (tptp.plus_plus_int @t666)) % 0.50/0.79 (define @t668 () (@var "A_36" tptp.int)) % 0.50/0.79 (define @t669 () (@var "C_16" tptp.real)) % 0.50/0.79 (define @t670 () (@var "B_29" tptp.real)) % 0.50/0.79 (define @t671 () (@var "A_35" tptp.real)) % 0.50/0.79 (define @t672 () (@var "C_16" tptp.nat)) % 0.50/0.79 (define @t673 () (@var "B_29" tptp.nat)) % 0.50/0.79 (define @t674 () (@var "A_35" tptp.nat)) % 0.50/0.79 (define @t675 () (@var "C_16" tptp.int)) % 0.50/0.79 (define @t676 () (@var "B_29" tptp.int)) % 0.50/0.79 (define @t677 () (@var "A_35" tptp.int)) % 0.50/0.79 (define @t678 () (tptp.hBOOL (tptp.hAPP_real_bool @t147 @t413))) % 0.50/0.79 (define @t679 () (tptp.hAPP_real_real @t517 @t413)) % 0.50/0.79 (define @t680 () (@list @t515 @t34 @t413)) % 0.50/0.79 (define @t681 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t204) @t419))) % 0.50/0.79 (define @t682 () (tptp.hAPP_nat_nat @t523 @t419)) % 0.50/0.79 (define @t683 () (@list @t521 @t204 @t419)) % 0.50/0.79 (define @t684 () (tptp.hBOOL (tptp.hAPP_int_bool @t144 @t425))) % 0.50/0.79 (define @t685 () (tptp.hAPP_int_int @t529 @t425)) % 0.50/0.79 (define @t686 () (@list @t527 @t29 @t425)) % 0.50/0.79 (define @t687 () (tptp.hAPP_real_real @t519 @t515)) % 0.50/0.79 (define @t688 () (@list @t34 @t515 @t413)) % 0.50/0.79 (define @t689 () (tptp.hAPP_nat_nat @t525 @t521)) % 0.50/0.79 (define @t690 () (@list @t204 @t521 @t419)) % 0.50/0.79 (define @t691 () (tptp.hAPP_int_int @t531 @t527)) % 0.50/0.79 (define @t692 () (@list @t29 @t527 @t425)) % 0.50/0.79 (define @t693 () (@var "X_13" tptp.real)) % 0.50/0.79 (define @t694 () (@var "X_13" tptp.nat)) % 0.50/0.79 (define @t695 () (@var "X_13" tptp.int)) % 0.50/0.79 (define @t696 () (@var "B_28" tptp.real)) % 0.50/0.79 (define @t697 () (@var "A_34" tptp.real)) % 0.50/0.79 (define @t698 () (@var "B_28" tptp.nat)) % 0.50/0.79 (define @t699 () (@var "A_34" tptp.nat)) % 0.50/0.79 (define @t700 () (@var "B_28" tptp.int)) % 0.50/0.79 (define @t701 () (@var "A_34" tptp.int)) % 0.50/0.79 (define @t702 () (@var "B_27" tptp.real)) % 0.50/0.79 (define @t703 () (@var "A_33" tptp.real)) % 0.50/0.79 (define @t704 () (@var "B_27" tptp.nat)) % 0.50/0.79 (define @t705 () (@var "A_33" tptp.nat)) % 0.50/0.79 (define @t706 () (@var "B_27" tptp.int)) % 0.50/0.79 (define @t707 () (@var "A_33" tptp.int)) % 0.50/0.79 (define @t708 () (@var "X_12" tptp.real)) % 0.50/0.79 (define @t709 () (@var "Y_11" tptp.real)) % 0.50/0.79 (define @t710 () (@var "A" tptp.real)) % 0.50/0.79 (define @t711 () (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t710))) % 0.50/0.79 (define @t712 () (@list @t710 @t88)) % 0.50/0.79 (define @t713 () (@var "R" tptp.real)) % 0.50/0.79 (define @t714 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.one_one_int)) % 0.50/0.79 (define @t715 () (tptp.number_number_of_nat (tptp.succ @t77))) % 0.50/0.79 (define @t716 () (tptp.hAPP_nat_nat @t131 tptp.one_one_nat)) % 0.50/0.79 (define @t717 () (@list @t77)) % 0.50/0.79 (define @t718 () (tptp.hAPP_nat_nat @t50 @t130)) % 0.50/0.79 (define @t719 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t34)) % 0.50/0.79 (define @t720 () (tptp.hBOOL (tptp.hAPP_real_bool @t719 @t413))) % 0.50/0.79 (define @t721 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t204) @t419))) % 0.50/0.79 (define @t722 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t29)) % 0.50/0.79 (define @t723 () (tptp.hBOOL (tptp.hAPP_int_bool @t722 @t425))) % 0.50/0.79 (define @t724 () (@var "C_14" tptp.real)) % 0.50/0.79 (define @t725 () (@var "B_26" tptp.real)) % 0.50/0.79 (define @t726 () (@var "A_32" tptp.real)) % 0.50/0.79 (define @t727 () (@var "C_14" tptp.nat)) % 0.50/0.79 (define @t728 () (@var "B_26" tptp.nat)) % 0.50/0.79 (define @t729 () (@var "A_32" tptp.nat)) % 0.50/0.79 (define @t730 () (@var "C_14" tptp.int)) % 0.50/0.79 (define @t731 () (@var "B_26" tptp.int)) % 0.50/0.79 (define @t732 () (@var "A_32" tptp.int)) % 0.50/0.79 (define @t733 () (@var "B_25" tptp.real)) % 0.50/0.79 (define @t734 () (@var "C_13" tptp.real)) % 0.50/0.79 (define @t735 () (tptp.plus_plus_real @t734)) % 0.50/0.79 (define @t736 () (@var "A_31" tptp.real)) % 0.50/0.79 (define @t737 () (@var "B_25" tptp.nat)) % 0.50/0.79 (define @t738 () (@var "C_13" tptp.nat)) % 0.50/0.79 (define @t739 () (tptp.plus_plus_nat @t738)) % 0.50/0.79 (define @t740 () (@var "A_31" tptp.nat)) % 0.50/0.79 (define @t741 () (@var "B_25" tptp.int)) % 0.50/0.79 (define @t742 () (@var "C_13" tptp.int)) % 0.50/0.79 (define @t743 () (tptp.plus_plus_int @t742)) % 0.50/0.79 (define @t744 () (@var "A_31" tptp.int)) % 0.50/0.79 (define @t745 () (@var "D_2" tptp.real)) % 0.50/0.79 (define @t746 () (@var "B_24" tptp.real)) % 0.50/0.79 (define @t747 () (@var "C_12" tptp.real)) % 0.50/0.79 (define @t748 () (@var "A_30" tptp.real)) % 0.50/0.79 (define @t749 () (@var "D_2" tptp.nat)) % 0.50/0.79 (define @t750 () (@var "B_24" tptp.nat)) % 0.50/0.79 (define @t751 () (@var "C_12" tptp.nat)) % 0.50/0.79 (define @t752 () (@var "A_30" tptp.nat)) % 0.50/0.79 (define @t753 () (@var "D_2" tptp.int)) % 0.50/0.79 (define @t754 () (@var "B_24" tptp.int)) % 0.50/0.79 (define @t755 () (@var "C_12" tptp.int)) % 0.50/0.79 (define @t756 () (@var "A_30" tptp.int)) % 0.50/0.79 (define @t757 () (@var "B_23" tptp.real)) % 0.50/0.79 (define @t758 () (@var "A_29" tptp.real)) % 0.50/0.79 (define @t759 () (@var "C_11" tptp.real)) % 0.50/0.79 (define @t760 () (@var "B_23" tptp.nat)) % 0.50/0.79 (define @t761 () (@var "A_29" tptp.nat)) % 0.50/0.79 (define @t762 () (@var "C_11" tptp.nat)) % 0.50/0.79 (define @t763 () (@var "B_23" tptp.int)) % 0.50/0.79 (define @t764 () (@var "A_29" tptp.int)) % 0.50/0.79 (define @t765 () (@var "C_11" tptp.int)) % 0.50/0.79 (define @t766 () (@var "B_22" tptp.real)) % 0.50/0.79 (define @t767 () (@var "A_28" tptp.real)) % 0.50/0.79 (define @t768 () (@var "C_10" tptp.real)) % 0.50/0.79 (define @t769 () (tptp.plus_plus_real @t768)) % 0.50/0.79 (define @t770 () (@var "B_22" tptp.nat)) % 0.50/0.79 (define @t771 () (@var "A_28" tptp.nat)) % 0.50/0.79 (define @t772 () (@var "C_10" tptp.nat)) % 0.50/0.79 (define @t773 () (tptp.plus_plus_nat @t772)) % 0.50/0.79 (define @t774 () (@var "B_22" tptp.int)) % 0.50/0.79 (define @t775 () (@var "A_28" tptp.int)) % 0.50/0.79 (define @t776 () (@var "C_10" tptp.int)) % 0.50/0.79 (define @t777 () (tptp.plus_plus_int @t776)) % 0.50/0.79 (define @t778 () (@var "N_12" tptp.nat)) % 0.50/0.79 (define @t779 () (@var "A_27" tptp.real)) % 0.50/0.79 (define @t780 () (tptp.power_power_real @t779)) % 0.50/0.79 (define @t781 () (@var "N_13" tptp.nat)) % 0.50/0.79 (define @t782 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real)) % 0.50/0.79 (define @t783 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t781) @t778))) % 0.50/0.79 (define @t784 () (@var "A_27" tptp.nat)) % 0.50/0.79 (define @t785 () (tptp.power_power_nat @t784)) % 0.50/0.79 (define @t786 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.one_one_nat)) % 0.50/0.79 (define @t787 () (@var "A_27" tptp.int)) % 0.50/0.79 (define @t788 () (tptp.power_power_int @t787)) % 0.50/0.79 (define @t789 () (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t108) @t107))) % 0.50/0.79 (define @t790 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t111)) % 0.50/0.79 (define @t791 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t70)) % 0.50/0.79 (define @t792 () (tptp.hBOOL (tptp.hAPP_int_bool @t791 @t69))) % 0.50/0.79 (define @t793 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t115)) % 0.50/0.79 (define @t794 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls)) % 0.50/0.79 (define @t795 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t119)) % 0.50/0.79 (define @t796 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t122)) % 0.50/0.79 (define @t797 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int)) % 0.50/0.79 (define @t798 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t76)) % 0.50/0.79 (define @t799 () (tptp.hBOOL (tptp.hAPP_int_bool @t798 @t94))) % 0.50/0.79 (define @t800 () (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t94) @t76))) % 0.50/0.79 (define @t801 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t126)) % 0.50/0.79 (define @t802 () (tptp.hBOOL (tptp.hAPP_int_bool @t801 @t125))) % 0.50/0.79 (define @t803 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t8)) % 0.50/0.79 (define @t804 () (tptp.hBOOL (tptp.hAPP_int_bool @t803 @t6))) % 0.50/0.79 (define @t805 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t85)) % 0.50/0.79 (define @t806 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t82)) % 0.50/0.79 (define @t807 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t160) @t102))) % 0.50/0.79 (define @t808 () (tptp.hBOOL (tptp.hAPP_int_bool @t794 @t6))) % 0.50/0.79 (define @t809 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real)) % 0.50/0.79 (define @t810 () (tptp.hBOOL (tptp.hAPP_int_bool @t803 tptp.pls))) % 0.50/0.79 (define @t811 () (@var "N_11" tptp.nat)) % 0.50/0.79 (define @t812 () (@var "A_26" tptp.real)) % 0.50/0.79 (define @t813 () (tptp.power_power_real @t812)) % 0.50/0.79 (define @t814 () (@var "N_10" tptp.nat)) % 0.50/0.79 (define @t815 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t811) @t814))) % 0.50/0.79 (define @t816 () (@var "A_26" tptp.nat)) % 0.50/0.79 (define @t817 () (tptp.power_power_nat @t816)) % 0.50/0.79 (define @t818 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 0.50/0.79 (define @t819 () (@var "A_26" tptp.int)) % 0.50/0.79 (define @t820 () (tptp.power_power_int @t819)) % 0.50/0.79 (define @t821 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t140) @t338))) % 0.50/0.79 (define @t822 () (@var "N_9" tptp.nat)) % 0.50/0.79 (define @t823 () (@var "M_3" tptp.nat)) % 0.50/0.79 (define @t824 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t823) @t822))) % 0.50/0.79 (define @t825 () (@var "A_25" tptp.real)) % 0.50/0.79 (define @t826 () (tptp.power_power_real @t825)) % 0.50/0.79 (define @t827 () (@var "A_25" tptp.nat)) % 0.50/0.79 (define @t828 () (tptp.power_power_nat @t827)) % 0.50/0.79 (define @t829 () (@var "A_25" tptp.int)) % 0.50/0.79 (define @t830 () (tptp.power_power_int @t829)) % 0.50/0.79 (define @t831 () (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t11) @t6))) % 0.50/0.79 (define @t832 () (tptp.hBOOL (tptp.hAPP_int_bool @t803 @t11))) % 0.50/0.79 (define @t833 () (@var "B_20" tptp.real)) % 0.50/0.79 (define @t834 () (@var "A_23" tptp.real)) % 0.50/0.79 (define @t835 () (@var "B_20" tptp.nat)) % 0.50/0.79 (define @t836 () (@var "A_23" tptp.nat)) % 0.50/0.79 (define @t837 () (@var "B_20" tptp.int)) % 0.50/0.79 (define @t838 () (@var "A_23" tptp.int)) % 0.50/0.79 (define @t839 () (@list @t16 @t18)) % 0.50/0.79 (define @t840 () (@list @t338 @t140)) % 0.50/0.79 (define @t841 () (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t8))) % 0.50/0.79 (define @t842 () (@list @t6 @t8)) % 0.50/0.79 (define @t843 () (@var "C_9" tptp.real)) % 0.50/0.79 (define @t844 () (@var "A_22" tptp.real)) % 0.50/0.79 (define @t845 () (@var "B_19" tptp.real)) % 0.50/0.79 (define @t846 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t845)) % 0.50/0.79 (define @t847 () (@var "C_9" tptp.nat)) % 0.50/0.79 (define @t848 () (@var "A_22" tptp.nat)) % 0.50/0.79 (define @t849 () (@var "B_19" tptp.nat)) % 0.50/0.79 (define @t850 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t849)) % 0.50/0.79 (define @t851 () (@var "C_9" tptp.int)) % 0.50/0.79 (define @t852 () (@var "A_22" tptp.int)) % 0.50/0.79 (define @t853 () (@var "B_19" tptp.int)) % 0.50/0.79 (define @t854 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t853)) % 0.50/0.79 (define @t855 () (@var "C_8" tptp.real)) % 0.50/0.79 (define @t856 () (@var "A_21" tptp.real)) % 0.50/0.79 (define @t857 () (@var "B_18" tptp.real)) % 0.50/0.79 (define @t858 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t857)) % 0.50/0.79 (define @t859 () (@var "C_8" tptp.nat)) % 0.50/0.79 (define @t860 () (@var "A_21" tptp.nat)) % 0.50/0.79 (define @t861 () (@var "B_18" tptp.nat)) % 0.50/0.79 (define @t862 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t861)) % 0.50/0.79 (define @t863 () (@var "C_8" tptp.int)) % 0.50/0.79 (define @t864 () (@var "A_21" tptp.int)) % 0.50/0.79 (define @t865 () (@var "B_18" tptp.int)) % 0.50/0.79 (define @t866 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t865)) % 0.50/0.79 (define @t867 () (@var "B_17" tptp.real)) % 0.50/0.79 (define @t868 () (@var "A_20" tptp.real)) % 0.50/0.79 (define @t869 () (@var "B_17" tptp.nat)) % 0.50/0.79 (define @t870 () (@var "A_20" tptp.nat)) % 0.50/0.79 (define @t871 () (@var "B_17" tptp.int)) % 0.50/0.79 (define @t872 () (@var "A_20" tptp.int)) % 0.50/0.79 (define @t873 () (@var "D_1" tptp.real)) % 0.50/0.79 (define @t874 () (@var "B_16" tptp.real)) % 0.50/0.79 (define @t875 () (@var "C_7" tptp.real)) % 0.50/0.79 (define @t876 () (@var "A_19" tptp.real)) % 0.50/0.79 (define @t877 () (@var "D_1" tptp.nat)) % 0.50/0.79 (define @t878 () (@var "B_16" tptp.nat)) % 0.50/0.79 (define @t879 () (@var "C_7" tptp.nat)) % 0.50/0.79 (define @t880 () (@var "A_19" tptp.nat)) % 0.50/0.79 (define @t881 () (@var "D_1" tptp.int)) % 0.50/0.79 (define @t882 () (@var "B_16" tptp.int)) % 0.50/0.79 (define @t883 () (@var "C_7" tptp.int)) % 0.50/0.79 (define @t884 () (@var "A_19" tptp.int)) % 0.50/0.79 (define @t885 () (@var "D" tptp.real)) % 0.50/0.79 (define @t886 () (@var "B_15" tptp.real)) % 0.50/0.79 (define @t887 () (@var "C_6" tptp.real)) % 0.50/0.79 (define @t888 () (@var "A_18" tptp.real)) % 0.50/0.79 (define @t889 () (@var "D" tptp.nat)) % 0.50/0.79 (define @t890 () (@var "B_15" tptp.nat)) % 0.50/0.79 (define @t891 () (@var "C_6" tptp.nat)) % 0.50/0.79 (define @t892 () (@var "A_18" tptp.nat)) % 0.50/0.79 (define @t893 () (@var "D" tptp.int)) % 0.50/0.79 (define @t894 () (@var "B_15" tptp.int)) % 0.50/0.79 (define @t895 () (@var "C_6" tptp.int)) % 0.50/0.79 (define @t896 () (@var "A_18" tptp.int)) % 0.50/0.79 (define @t897 () (tptp.number267125858f_real @t344)) % 0.50/0.79 (define @t898 () (@list @t344 @t138)) % 0.50/0.79 (define @t899 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t347)) % 0.50/0.79 (define @t900 () (tptp.number_number_of_int @t344)) % 0.50/0.79 (define @t901 () (@var "N_8" tptp.nat)) % 0.50/0.79 (define @t902 () (@var "A_17" tptp.real)) % 0.50/0.79 (define @t903 () (@var "A_17" tptp.nat)) % 0.50/0.79 (define @t904 () (@var "A_17" tptp.int)) % 0.50/0.79 (define @t905 () (@var "N_7" tptp.nat)) % 0.50/0.79 (define @t906 () (@var "B_14" tptp.real)) % 0.50/0.79 (define @t907 () (@var "A_16" tptp.real)) % 0.50/0.79 (define @t908 () (@var "B_14" tptp.nat)) % 0.50/0.79 (define @t909 () (@var "A_16" tptp.nat)) % 0.50/0.79 (define @t910 () (@var "B_14" tptp.int)) % 0.50/0.79 (define @t911 () (@var "A_16" tptp.int)) % 0.50/0.79 (define @t912 () (@var "N_6" tptp.nat)) % 0.50/0.79 (define @t913 () (@var "A_15" tptp.real)) % 0.50/0.79 (define @t914 () (@var "A_15" tptp.nat)) % 0.50/0.79 (define @t915 () (@var "A_15" tptp.int)) % 0.50/0.79 (define @t916 () (@var "M_2" tptp.nat)) % 0.50/0.79 (define @t917 () (@list @t916)) % 0.50/0.79 (define @t918 () (@var "N_5" tptp.nat)) % 0.50/0.79 (define @t919 () (@list @t918)) % 0.50/0.79 (define @t920 () (tptp.hBOOL (tptp.hAPP_int_bool @t794 @t70))) % 0.50/0.79 (define @t921 () (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t52))) % 0.50/0.79 (define @t922 () (@var "Z_4" tptp.int)) % 0.50/0.79 (define @t923 () (@var "W_1" tptp.int)) % 0.50/0.79 (define @t924 () (@var "X_12" tptp.nat)) % 0.50/0.79 (define @t925 () (tptp.hBOOL (tptp.hAPP_int_bool @t274 (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t924)))) % 0.50/0.79 (define @t926 () (@list @t924)) % 0.50/0.79 (define @t927 () (@var "X_12" tptp.int)) % 0.50/0.79 (define @t928 () (tptp.hBOOL (tptp.hAPP_int_bool @t274 @t927))) % 0.50/0.79 (define @t929 () (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t927))) % 0.50/0.79 (define @t930 () (@list @t927)) % 0.50/0.79 (define @t931 () (@list @t274)) % 0.50/0.79 (define @t932 () (tptp.plus_plus_int @t138)) % 0.50/0.79 (define @t933 () (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t138) @t175))) % 0.50/0.79 (define @t934 () (@var "V_5" tptp.int)) % 0.50/0.79 (define @t935 () (tptp.succ @t934)) % 0.50/0.79 (define @t936 () (tptp.hBOOL (tptp.hAPP_int_bool @t794 @t934))) % 0.50/0.79 (define @t937 () (@list @t934)) % 0.50/0.79 (define @t938 () (@var "V_4" tptp.int)) % 0.50/0.79 (define @t939 () (tptp.succ @t938)) % 0.50/0.79 (define @t940 () (tptp.hBOOL (tptp.hAPP_int_bool @t794 @t938))) % 0.50/0.79 (define @t941 () (@list @t938)) % 0.50/0.79 (define @t942 () (@var "B_13" tptp.real)) % 0.50/0.79 (define @t943 () (@var "A_14" tptp.real)) % 0.50/0.79 (define @t944 () (@var "B_13" tptp.nat)) % 0.50/0.79 (define @t945 () (@var "A_14" tptp.nat)) % 0.50/0.79 (define @t946 () (@var "B_13" tptp.int)) % 0.50/0.79 (define @t947 () (@var "A_14" tptp.int)) % 0.50/0.79 (define @t948 () (@var "B_12" tptp.real)) % 0.50/0.79 (define @t949 () (@var "A_13" tptp.real)) % 0.50/0.79 (define @t950 () (@var "B_12" tptp.nat)) % 0.50/0.79 (define @t951 () (@var "A_13" tptp.nat)) % 0.50/0.79 (define @t952 () (@var "B_12" tptp.int)) % 0.50/0.79 (define @t953 () (@var "A_13" tptp.int)) % 0.50/0.79 (define @t954 () (@var "C_5" tptp.real)) % 0.50/0.79 (define @t955 () (@var "A_12" tptp.real)) % 0.50/0.79 (define @t956 () (@var "B_11" tptp.real)) % 0.50/0.79 (define @t957 () (@var "C_5" tptp.nat)) % 0.50/0.79 (define @t958 () (@var "A_12" tptp.nat)) % 0.50/0.79 (define @t959 () (@var "B_11" tptp.nat)) % 0.50/0.79 (define @t960 () (@var "C_5" tptp.int)) % 0.50/0.79 (define @t961 () (@var "A_12" tptp.int)) % 0.50/0.79 (define @t962 () (@var "B_11" tptp.int)) % 0.50/0.79 (define @t963 () (@var "C_4" tptp.real)) % 0.50/0.79 (define @t964 () (@var "A_11" tptp.real)) % 0.50/0.79 (define @t965 () (@var "B_10" tptp.real)) % 0.50/0.79 (define @t966 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t965)) % 0.50/0.79 (define @t967 () (@var "C_4" tptp.nat)) % 0.50/0.79 (define @t968 () (@var "A_11" tptp.nat)) % 0.50/0.79 (define @t969 () (@var "B_10" tptp.nat)) % 0.50/0.79 (define @t970 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t969)) % 0.50/0.79 (define @t971 () (@var "C_4" tptp.int)) % 0.50/0.79 (define @t972 () (@var "A_11" tptp.int)) % 0.50/0.79 (define @t973 () (@var "B_10" tptp.int)) % 0.50/0.79 (define @t974 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t973)) % 0.50/0.79 (define @t975 () (@var "B_9" tptp.real)) % 0.50/0.79 (define @t976 () (@var "A_10" tptp.real)) % 0.50/0.79 (define @t977 () (@var "B_9" tptp.nat)) % 0.50/0.79 (define @t978 () (@var "A_10" tptp.nat)) % 0.50/0.79 (define @t979 () (@var "B_9" tptp.int)) % 0.50/0.79 (define @t980 () (@var "A_10" tptp.int)) % 0.50/0.79 (define @t981 () (@var "B_8" tptp.real)) % 0.50/0.79 (define @t982 () (@var "A_9" tptp.real)) % 0.50/0.79 (define @t983 () (@var "B_8" tptp.nat)) % 0.50/0.79 (define @t984 () (@var "A_9" tptp.nat)) % 0.50/0.79 (define @t985 () (@var "B_8" tptp.int)) % 0.50/0.79 (define @t986 () (@var "A_9" tptp.int)) % 0.50/0.79 (define @t987 () (@var "B_7" tptp.real)) % 0.50/0.79 (define @t988 () (@var "A_8" tptp.real)) % 0.50/0.79 (define @t989 () (@var "N_4" tptp.nat)) % 0.50/0.79 (define @t990 () (@var "B_7" tptp.nat)) % 0.50/0.79 (define @t991 () (@var "A_8" tptp.nat)) % 0.50/0.79 (define @t992 () (@var "B_7" tptp.int)) % 0.50/0.79 (define @t993 () (@var "A_8" tptp.int)) % 0.50/0.79 (define @t994 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t344)) % 0.50/0.79 (define @t995 () (tptp.hBOOL (tptp.hAPP_int_bool @t994 tptp.pls))) % 0.50/0.79 (define @t996 () (tptp.succ @t124)) % 0.50/0.79 (define @t997 () (@var "B_6" tptp.real)) % 0.50/0.79 (define @t998 () (@var "A_7" tptp.real)) % 0.50/0.79 (define @t999 () (@var "N_3" tptp.nat)) % 0.50/0.79 (define @t1000 () (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t999))) % 0.50/0.79 (define @t1001 () (@var "B_6" tptp.nat)) % 0.50/0.79 (define @t1002 () (@var "A_7" tptp.nat)) % 0.50/0.79 (define @t1003 () (@var "B_6" tptp.int)) % 0.50/0.79 (define @t1004 () (@var "A_7" tptp.int)) % 0.50/0.79 (define @t1005 () (@var "V_3" tptp.int)) % 0.50/0.79 (define @t1006 () (@var "V_2" tptp.int)) % 0.50/0.79 (define @t1007 () (tptp.hAPP_int_int (tptp.plus_plus_int @t1006) @t1005)) % 0.50/0.79 (define @t1008 () (tptp.hBOOL (tptp.hAPP_int_bool @t794 @t1005))) % 0.50/0.79 (define @t1009 () (tptp.hBOOL (tptp.hAPP_int_bool @t794 @t1006))) % 0.50/0.79 (define @t1010 () (@list @t1005 @t1006)) % 0.50/0.79 (define @t1011 () (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t94))) % 0.50/0.79 (define @t1012 () (@var "K_3" tptp.int)) % 0.50/0.79 (define @t1013 () (tptp.succ @t1012)) % 0.50/0.79 (define @t1014 () (@list @t1012)) % 0.50/0.79 (define @t1015 () (@var "N_2" tptp.nat)) % 0.50/0.79 (define @t1016 () (@var "B_5" tptp.real)) % 0.50/0.79 (define @t1017 () (@var "A_6" tptp.real)) % 0.50/0.79 (define @t1018 () (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t1015))) % 0.50/0.79 (define @t1019 () (@var "B_5" tptp.nat)) % 0.50/0.79 (define @t1020 () (@var "A_6" tptp.nat)) % 0.50/0.79 (define @t1021 () (@var "B_5" tptp.int)) % 0.50/0.79 (define @t1022 () (@var "A_6" tptp.int)) % 0.50/0.79 (define @t1023 () (@var "A_5" tptp.real)) % 0.50/0.79 (define @t1024 () (@var "A_5" tptp.int)) % 0.50/0.79 (define @t1025 () (@var "Y_10" tptp.real)) % 0.50/0.79 (define @t1026 () (@var "X_11" tptp.real)) % 0.50/0.79 (define @t1027 () (@var "Y_10" tptp.nat)) % 0.50/0.79 (define @t1028 () (@var "X_11" tptp.nat)) % 0.50/0.79 (define @t1029 () (@var "Y_10" tptp.int)) % 0.50/0.79 (define @t1030 () (@var "X_11" tptp.int)) % 0.50/0.79 (define @t1031 () (@var "Y_9" tptp.real)) % 0.50/0.79 (define @t1032 () (@var "X_10" tptp.real)) % 0.50/0.79 (define @t1033 () (@var "Y_9" tptp.nat)) % 0.50/0.79 (define @t1034 () (@var "X_10" tptp.nat)) % 0.50/0.79 (define @t1035 () (@var "Y_9" tptp.int)) % 0.50/0.79 (define @t1036 () (@var "X_10" tptp.int)) % 0.50/0.79 (define @t1037 () (@var "V_1" tptp.int)) % 0.50/0.79 (define @t1038 () (tptp.number_number_of_nat @t1037)) % 0.50/0.79 (define @t1039 () (tptp.hAPP_nat_real tptp.semiri132038758t_real @t1038)) % 0.50/0.79 (define @t1040 () (tptp.number_number_of_int @t1037)) % 0.50/0.79 (define @t1041 () (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t1040))) % 0.50/0.79 (define @t1042 () (not @t1041)) % 0.50/0.79 (define @t1043 () (@list @t1037)) % 0.50/0.79 (define @t1044 () (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t1038)) % 0.50/0.79 (define @t1045 () (@var "Y_8" tptp.real)) % 0.50/0.79 (define @t1046 () (@var "X_9" tptp.real)) % 0.50/0.79 (define @t1047 () (@var "Y_8" tptp.nat)) % 0.50/0.79 (define @t1048 () (@var "X_9" tptp.nat)) % 0.50/0.79 (define @t1049 () (@var "Y_8" tptp.int)) % 0.50/0.79 (define @t1050 () (@var "X_9" tptp.int)) % 0.50/0.79 (define @t1051 () (@var "Y_7" tptp.real)) % 0.50/0.79 (define @t1052 () (@var "X_8" tptp.real)) % 0.50/0.79 (define @t1053 () (@var "Y_7" tptp.int)) % 0.50/0.79 (define @t1054 () (@var "X_8" tptp.int)) % 0.50/0.79 (define @t1055 () (@var "N_1" tptp.int)) % 0.50/0.79 (define @t1056 () (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t124))) % 0.50/0.79 (define @t1057 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t89) @t88))) % 0.50/0.79 (define @t1058 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t88)) % 0.50/0.79 (define @t1059 () (tptp.hBOOL (tptp.hAPP_nat_bool @t1058 @t89))) % 0.50/0.79 (define @t1060 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t282)) % 0.50/0.79 (define @t1061 () (tptp.hBOOL (tptp.hAPP_nat_bool @t1060 @t283))) % 0.50/0.79 (define @t1062 () (= @t18 @t16)) % 0.50/0.79 (define @t1063 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t18)) % 0.50/0.79 (define @t1064 () (tptp.hBOOL (tptp.hAPP_real_bool @t1063 @t16))) % 0.50/0.79 (define @t1065 () (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t18) @t16))) % 0.50/0.79 (define @t1066 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t317)) % 0.50/0.79 (define @t1067 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t179)) % 0.50/0.79 (define @t1068 () (tptp.hBOOL (tptp.hAPP_nat_bool @t1067 @t88))) % 0.50/0.79 (define @t1069 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t95 @t179)) @t88))) % 0.50/0.79 (define @t1070 () (@list @t89 @t179 @t88)) % 0.50/0.79 (define @t1071 () (@var "Y" tptp.real)) % 0.50/0.79 (define @t1072 () (@var "Z_2" tptp.real)) % 0.50/0.79 (define @t1073 () (tptp.plus_plus_real @t1072)) % 0.50/0.79 (define @t1074 () (@var "X" tptp.real)) % 0.50/0.79 (define @t1075 () (@var "P_2" tptp.bool)) % 0.50/0.79 (define @t1076 () (tptp.hBOOL @t1075)) % 0.50/0.79 (define @t1077 () (=> @t841 (= @t363 @t1076))) % 0.50/0.79 (define @t1078 () (@list @t1075 @t361 @t8)) % 0.50/0.79 (define @t1079 () (@var "P_1" tptp.fun_nat_bool)) % 0.50/0.79 (define @t1080 () (@var "I_1" tptp.nat)) % 0.50/0.79 (define @t1081 () (not (tptp.hBOOL (tptp.hAPP_nat_bool @t1079 @t1080)))) % 0.50/0.79 (define @t1082 () (@list @t1080)) % 0.50/0.79 (define @t1083 () (tptp.hBOOL (tptp.hAPP_nat_bool @t1079 @t102))) % 0.50/0.79 (define @t1084 () (not (tptp.hBOOL (tptp.hAPP_nat_bool @t1079 tptp.zero_zero_nat)))) % 0.50/0.79 (define @t1085 () (@list @t102 @t1079)) % 0.50/0.79 (define @t1086 () (@var "M" tptp.nat)) % 0.50/0.79 (define @t1087 () (@var "F" tptp.fun_nat_nat)) % 0.50/0.79 (define @t1088 () (@var "W" tptp.real)) % 0.50/0.79 (define @t1089 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1088)) % 0.50/0.79 (define @t1090 () (tptp.hBOOL (tptp.hAPP_real_bool @t1089 @t1072))) % 0.50/0.79 (define @t1091 () (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1072) @t1088))) % 0.50/0.79 (define @t1092 () (@list @t1072 @t1088)) % 0.50/0.79 (define @t1093 () (@var "K" tptp.real)) % 0.50/0.79 (define @t1094 () (@var "I_2" tptp.real)) % 0.50/0.79 (define @t1095 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1094)) % 0.50/0.79 (define @t1096 () (@var "J_2" tptp.real)) % 0.50/0.79 (define @t1097 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t1080)) % 0.50/0.79 (define @t1098 () (@var "J" tptp.nat)) % 0.50/0.79 (define @t1099 () (@var "I" tptp.nat)) % 0.50/0.79 (define @t1100 () (@var "J_1" tptp.nat)) % 0.50/0.79 (define @t1101 () (@var "X_7" tptp.real)) % 0.50/0.79 (define @t1102 () (@var "X_7" tptp.nat)) % 0.50/0.79 (define @t1103 () (@var "X_7" tptp.int)) % 0.50/0.79 (define @t1104 () (@var "X_6" tptp.real)) % 0.50/0.79 (define @t1105 () (@var "Y_6" tptp.real)) % 0.50/0.79 (define @t1106 () (@var "X_6" tptp.nat)) % 0.50/0.79 (define @t1107 () (@var "Y_6" tptp.nat)) % 0.50/0.79 (define @t1108 () (@var "X_6" tptp.int)) % 0.50/0.79 (define @t1109 () (@var "Y_6" tptp.int)) % 0.50/0.79 (define @t1110 () (@var "X_5" tptp.real)) % 0.50/0.79 (define @t1111 () (@var "Z_1" tptp.real)) % 0.50/0.79 (define @t1112 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1111)) % 0.50/0.79 (define @t1113 () (@var "Y_5" tptp.real)) % 0.50/0.79 (define @t1114 () (@var "X_5" tptp.nat)) % 0.50/0.79 (define @t1115 () (@var "Z_1" tptp.nat)) % 0.50/0.79 (define @t1116 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1115)) % 0.50/0.79 (define @t1117 () (@var "Y_5" tptp.nat)) % 0.50/0.79 (define @t1118 () (@var "X_5" tptp.int)) % 0.50/0.79 (define @t1119 () (@var "Z_1" tptp.int)) % 0.50/0.79 (define @t1120 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1119)) % 0.50/0.79 (define @t1121 () (@var "Y_5" tptp.int)) % 0.50/0.79 (define @t1122 () (@var "Y_4" tptp.real)) % 0.50/0.79 (define @t1123 () (@var "X_4" tptp.real)) % 0.50/0.79 (define @t1124 () (@var "Y_4" tptp.nat)) % 0.50/0.79 (define @t1125 () (@var "X_4" tptp.nat)) % 0.50/0.79 (define @t1126 () (@var "Y_4" tptp.int)) % 0.50/0.79 (define @t1127 () (@var "X_4" tptp.int)) % 0.50/0.79 (define @t1128 () (@var "Z" tptp.real)) % 0.50/0.79 (define @t1129 () (@var "X_3" tptp.real)) % 0.50/0.79 (define @t1130 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1129)) % 0.50/0.79 (define @t1131 () (@var "Y_3" tptp.real)) % 0.50/0.79 (define @t1132 () (@var "Z" tptp.nat)) % 0.50/0.79 (define @t1133 () (@var "X_3" tptp.nat)) % 0.50/0.79 (define @t1134 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1133)) % 0.50/0.79 (define @t1135 () (@var "Y_3" tptp.nat)) % 0.50/0.79 (define @t1136 () (@var "Z" tptp.int)) % 0.50/0.79 (define @t1137 () (@var "X_3" tptp.int)) % 0.50/0.79 (define @t1138 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1137)) % 0.50/0.79 (define @t1139 () (@var "Y_3" tptp.int)) % 0.50/0.79 (define @t1140 () (@var "Y_2" tptp.real)) % 0.50/0.79 (define @t1141 () (@var "X_2" tptp.real)) % 0.50/0.79 (define @t1142 () (@var "Y_2" tptp.nat)) % 0.50/0.79 (define @t1143 () (@var "X_2" tptp.nat)) % 0.50/0.79 (define @t1144 () (@var "Y_2" tptp.int)) % 0.50/0.79 (define @t1145 () (@var "X_2" tptp.int)) % 0.50/0.79 (define @t1146 () (@var "A_4" tptp.real)) % 0.50/0.79 (define @t1147 () (@var "C_3" tptp.real)) % 0.50/0.79 (define @t1148 () (@var "B_4" tptp.real)) % 0.50/0.79 (define @t1149 () (@var "A_4" tptp.nat)) % 0.50/0.79 (define @t1150 () (@var "C_3" tptp.nat)) % 0.50/0.79 (define @t1151 () (@var "B_4" tptp.nat)) % 0.50/0.79 (define @t1152 () (@var "A_4" tptp.int)) % 0.50/0.79 (define @t1153 () (@var "C_3" tptp.int)) % 0.50/0.79 (define @t1154 () (@var "B_4" tptp.int)) % 0.50/0.79 (define @t1155 () (@var "C_2" tptp.real)) % 0.50/0.79 (define @t1156 () (@var "A_3" tptp.real)) % 0.50/0.79 (define @t1157 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1156)) % 0.50/0.79 (define @t1158 () (@var "B_3" tptp.real)) % 0.50/0.79 (define @t1159 () (@var "C_2" tptp.nat)) % 0.50/0.79 (define @t1160 () (@var "A_3" tptp.nat)) % 0.50/0.79 (define @t1161 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1160)) % 0.50/0.79 (define @t1162 () (@var "B_3" tptp.nat)) % 0.50/0.79 (define @t1163 () (@var "C_2" tptp.int)) % 0.50/0.79 (define @t1164 () (@var "A_3" tptp.int)) % 0.50/0.79 (define @t1165 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1164)) % 0.50/0.79 (define @t1166 () (@var "B_3" tptp.int)) % 0.50/0.79 (define @t1167 () (@var "A_2" tptp.real)) % 0.50/0.79 (define @t1168 () (@var "C_1" tptp.real)) % 0.50/0.79 (define @t1169 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1168)) % 0.50/0.79 (define @t1170 () (@var "B_2" tptp.real)) % 0.50/0.79 (define @t1171 () (@var "A_2" tptp.nat)) % 0.50/0.79 (define @t1172 () (@var "C_1" tptp.nat)) % 0.50/0.79 (define @t1173 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1172)) % 0.50/0.79 (define @t1174 () (@var "B_2" tptp.nat)) % 0.50/0.79 (define @t1175 () (@var "A_2" tptp.int)) % 0.50/0.79 (define @t1176 () (@var "C_1" tptp.int)) % 0.50/0.79 (define @t1177 () (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1176)) % 0.50/0.79 (define @t1178 () (@var "B_2" tptp.int)) % 0.50/0.79 (define @t1179 () (@var "C" tptp.real)) % 0.50/0.79 (define @t1180 () (@var "A_1" tptp.real)) % 0.50/0.79 (define @t1181 () (@var "B_1" tptp.real)) % 0.50/0.79 (define @t1182 () (@var "C" tptp.nat)) % 0.50/0.79 (define @t1183 () (@var "A_1" tptp.nat)) % 0.50/0.79 (define @t1184 () (@var "B_1" tptp.nat)) % 0.50/0.79 (define @t1185 () (@var "C" tptp.int)) % 0.50/0.79 (define @t1186 () (@var "A_1" tptp.int)) % 0.50/0.79 (define @t1187 () (@var "B_1" tptp.int)) % 0.50/0.79 (define @t1188 () (@var "Y_1" tptp.int)) % 0.50/0.79 (define @t1189 () (@var "X_1" tptp.int)) % 0.50/0.79 (define @t1190 () (@var "D2" tptp.real)) % 0.50/0.79 (define @t1191 () (@var "E" tptp.real)) % 0.50/0.79 (define @t1192 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t1191)) % 0.50/0.79 (define @t1193 () (@var "D1" tptp.real)) % 0.50/0.79 (define @t1194 () (@var "B" tptp.int)) % 0.50/0.79 (define @t1195 () (@var "A" tptp.int)) % 0.50/0.79 (define @t1196 () (tptp.sqrt @t1074)) % 0.50/0.79 (define @t1197 () (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t1074))) % 0.50/0.79 (define @t1198 () (@list @t1074)) % 0.50/0.79 (define @t1199 () (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.sqrt @t18))) % 0.50/0.79 (define @t1200 () (tptp.sqrt @t16)) % 0.50/0.79 (define @t1201 () (@list @t16)) % 0.50/0.79 (define @t1202 () (@var "P" tptp.bool)) % 0.50/0.79 (define @t1203 () (tptp.hAPP_nat_int (tptp.power_power_int @t2) @t13)) % 0.50/0.79 (define @t1204 () (= @t1203 tptp.zero_zero_int)) % 0.50/0.79 (define @t1205 () (tptp.hAPP_int_bool @t3 @t1203)) % 0.50/0.79 (define @t1206 () (tptp.hBOOL @t1205)) % 0.50/0.79 (define @t1207 () (not @t4)) % 0.50/0.79 (define @t1208 () (or @t1207 @t1206)) % 0.50/0.79 (define @t1209 () (not @t1208)) % 0.50/0.79 (define @t1210 () (forall @t405 (or (not @t404) @t403))) % 0.50/0.79 (assume @p1 @t4) % 0.50/0.79 (assume @p2 (tptp.hBOOL (tptp.hAPP_int_bool @t5 tptp.t))) % 0.50/0.79 (assume @p3 (forall @t15 (= (= @t14 tptp.zero_zero_int) @t10))) % 0.50/0.79 (assume @p4 (forall @t22 (= (= @t21 tptp.zero_zero_real) @t20))) % 0.50/0.79 (assume @p5 (= (tptp.hAPP_nat_int @t23 @t13) tptp.one_one_int)) % 0.50/0.79 (assume @p6 (= (tptp.hAPP_nat_nat @t24 @t13) tptp.one_one_nat)) % 0.50/0.79 (assume @p7 (= (tptp.hAPP_nat_real @t25 @t13) tptp.one_one_real)) % 0.50/0.79 (assume @p8 (= (tptp.hAPP_nat_int @t26 @t13) tptp.zero_zero_int)) % 0.50/0.79 (assume @p9 (= (tptp.hAPP_nat_nat @t27 @t13) tptp.zero_zero_nat)) % 0.50/0.79 (assume @p10 (= (tptp.hAPP_nat_real @t28 @t13) tptp.zero_zero_real)) % 0.50/0.79 (assume @p11 (forall @t33 (= (= @t32 tptp.zero_zero_int) @t30))) % 0.50/0.79 (assume @p12 (forall @t38 (= (= @t37 tptp.zero_zero_real) @t35))) % 0.50/0.79 (assume @p13 (forall @t41 (= (tptp.hAPP_int_int @t1 (tptp.number_number_of_int @t39)) (tptp.number_number_of_int @t40)))) % 0.50/0.79 (assume @p14 (forall @t41 (= (tptp.hAPP_real_real @t42 (tptp.number267125858f_real @t39)) (tptp.number267125858f_real @t40)))) % 0.50/0.79 (assume @p15 (forall @t45 (= (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.number_number_of_int @t43)) tptp.one_one_int) (tptp.number_number_of_int @t44)))) % 0.50/0.79 (assume @p16 (forall @t45 (= (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.number267125858f_real @t43)) tptp.one_one_real) (tptp.number267125858f_real @t44)))) % 0.50/0.79 (assume @p17 (= @t47 @t46)) % 0.50/0.79 (assume @p18 (= @t49 @t48)) % 0.50/0.79 (assume @p19 (= @t51 @t13)) % 0.50/0.79 (assume @p20 (forall @t55 (= (tptp.hAPP_nat_int (tptp.power_power_int @t54) @t13) (tptp.hAPP_nat_int @t53 (tptp.number_number_of_nat (tptp.bit0 @t12)))))) % 0.50/0.79 (assume @p21 (forall @t61 (and (=> @t59 (= @t58 tptp.one_one_int)) (=> @t60 (= @t58 tptp.zero_zero_int))))) % 0.50/0.79 (assume @p22 (forall @t61 (and (=> @t59 (= @t62 tptp.one_one_nat)) (=> @t60 (= @t62 tptp.zero_zero_nat))))) % 0.50/0.79 (assume @p23 (forall @t61 (and (=> @t59 (= @t63 tptp.one_one_real)) (=> @t60 (= @t63 tptp.zero_zero_real))))) % 0.50/0.79 (assume @p24 (= tptp.one_one_int @t64)) % 0.50/0.79 (assume @p25 (= tptp.one_one_real @t65)) % 0.50/0.79 (assume @p26 (= @t64 tptp.one_one_int)) % 0.50/0.79 (assume @p27 (= @t65 tptp.one_one_real)) % 0.50/0.79 (assume @p28 (tptp.hBOOL (tptp.hAPP_nat_bool @t66 tptp.n))) % 0.50/0.79 (assume @p29 (forall (@list @t52 @t67) (or (tptp.hBOOL (tptp.hAPP_int_bool @t68 @t67)) (= @t52 @t67) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t67) @t52))))) % 0.50/0.79 (assume @p30 (forall @t75 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t74) @t73)) @t72))) % 0.50/0.79 (assume @p31 (forall (@list @t77 @t76) (= (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.number_number_of_int @t77)) (tptp.number_number_of_int @t76)) (tptp.number_number_of_int (tptp.hAPP_int_int @t78 @t76))))) % 0.50/0.79 (assume @p32 (forall @t15 (= (tptp.hBOOL (tptp.hAPP_int_bool @t83 @t81)) @t80))) % 0.50/0.79 (assume @p33 (forall @t15 (= (tptp.hBOOL (tptp.hAPP_real_bool @t86 @t84)) @t80))) % 0.50/0.79 (assume @p34 (= tptp.zero_zero_int @t87)) % 0.50/0.79 (assume @p35 (forall @t93 (= @t92 @t90))) % 0.50/0.79 (assume @p36 (forall @t93 (= @t90 @t92))) % 0.50/0.79 (assume @p37 (forall (@list @t89 @t88 @t94) (= (tptp.hAPP_int_int @t99 (tptp.hAPP_int_int (tptp.plus_plus_int @t98) @t94)) (tptp.hAPP_int_int (tptp.plus_plus_int @t97) @t94)))) % 0.50/0.79 (assume @p38 (forall @t93 (= (tptp.hAPP_int_int @t99 @t98) @t97))) % 0.50/0.79 (assume @p39 (= @t100 tptp.one_one_int)) % 0.50/0.79 (assume @p40 (= @t101 tptp.zero_zero_nat)) % 0.50/0.79 (assume @p41 (= tptp.zero_zero_nat @t101)) % 0.50/0.79 (assume @p42 (forall @t105 (= (= @t104 tptp.zero_zero_int) @t103))) % 0.50/0.79 (assume @p43 (= @t106 tptp.zero_zero_int)) % 0.50/0.79 (assume @p44 (forall @t113 (= (tptp.hBOOL (tptp.hAPP_int_bool @t112 @t110)) @t109))) % 0.50/0.79 (assume @p45 (forall @t75 (= (tptp.hBOOL (tptp.hAPP_int_bool @t116 @t114)) @t72))) % 0.50/0.79 (assume @p46 (not (tptp.hBOOL (tptp.hAPP_int_bool @t117 tptp.pls)))) % 0.50/0.79 (assume @p47 (forall @t113 (= (tptp.hBOOL (tptp.hAPP_int_bool @t120 @t118)) @t109))) % 0.50/0.79 (assume @p48 (forall @t75 (= (tptp.hBOOL (tptp.hAPP_int_bool @t123 @t121)) @t72))) % 0.50/0.79 (assume @p49 (forall @t127 (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t126) @t125)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.plus_plus_int @t126) @t124)) (tptp.hAPP_int_int (tptp.plus_plus_int @t125) @t124)))))) % 0.50/0.79 (assume @p50 (forall (@list @t128 @t77) (and (=> @t134 (= @t132 @t129)) (=> @t135 (and (=> @t133 (= @t132 @t130)) (=> (not @t133) (= @t132 (tptp.number_number_of_nat (tptp.hAPP_int_int @t78 @t128))))))))) % 0.50/0.79 (assume @p51 (= @t136 tptp.one_one_nat)) % 0.50/0.79 (assume @p52 (= tptp.one_one_nat @t136)) % 0.50/0.79 (assume @p53 (forall @t15 (= (= @t82 @t81) @t137))) % 0.50/0.79 (assume @p54 (forall @t15 (= (= @t85 @t84) @t137))) % 0.50/0.79 (assume @p55 (forall (@list @t138 @t140) (= (= @t139 @t140) (= @t140 @t139)))) % 0.50/0.79 (assume @p56 (forall (@list @t138 @t8) (= (= @t141 @t8) (= @t8 @t141)))) % 0.50/0.79 (assume @p57 (forall (@list @t138 @t18) (= (= @t142 @t18) (= @t18 @t142)))) % 0.50/0.79 (assume @p58 (forall @t75 (= (= @t115 @t114) @t143))) % 0.50/0.79 (assume @p59 (forall @t75 (= (= @t122 @t121) @t143))) % 0.50/0.79 (assume @p60 (forall @t33 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t146) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool @t144 tptp.zero_zero_int))))) % 0.50/0.79 (assume @p61 (forall @t38 (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t149) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool @t147 tptp.zero_zero_real))))) % 0.50/0.79 (assume @p62 (forall (@list @t152 @t151 @t150) (= (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_int_int @t153 @t151)) @t150) (tptp.hAPP_int_int @t153 (tptp.hAPP_int_int (tptp.plus_plus_int @t151) @t150))))) % 0.50/0.79 (assume @p63 (forall (@list @t52 @t67 @t94) (= (tptp.hAPP_int_int @t154 (tptp.hAPP_int_int @t155 @t94)) (tptp.hAPP_int_int @t155 (tptp.hAPP_int_int @t154 @t94))))) % 0.50/0.79 (assume @p64 (forall @t159 (= (tptp.hAPP_int_int @t158 @t76) @t157))) % 0.50/0.79 (assume @p65 (forall @t163 (= (= @t162 @t104) @t161))) % 0.50/0.79 (assume @p66 (forall @t165 (= (tptp.hBOOL (tptp.hAPP_int_bool @t83 tptp.zero_zero_int)) @t164))) % 0.50/0.79 (assume @p67 (forall @t165 (= (tptp.hBOOL (tptp.hAPP_real_bool @t86 tptp.zero_zero_real)) @t164))) % 0.50/0.79 (assume @p68 (forall @t167 (= (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t81)) @t166))) % 0.50/0.79 (assume @p69 (forall @t167 (= (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t84)) @t166))) % 0.50/0.79 (assume @p70 (forall @t170 (= (tptp.hBOOL (tptp.hAPP_int_bool @t116 tptp.pls)) @t169))) % 0.50/0.79 (assume @p71 (forall @t113 (= (tptp.hBOOL (tptp.hAPP_int_bool @t112 @t118)) @t109))) % 0.50/0.79 (assume @p72 (forall @t75 (= (tptp.hBOOL (tptp.hAPP_int_bool @t116 @t121)) @t72))) % 0.50/0.79 (assume @p73 (forall @t170 (= (tptp.hBOOL (tptp.hAPP_int_bool @t123 tptp.pls)) @t169))) % 0.50/0.79 (assume @p74 (forall @t170 (= (tptp.hBOOL (tptp.hAPP_int_bool @t117 @t122)) (tptp.hBOOL (tptp.hAPP_int_bool @t117 @t70))))) % 0.50/0.79 (assume @p75 (forall @t173 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.bit1 @t138)) tptp.zero_zero_int)) @t172))) % 0.50/0.79 (assume @p76 (not (tptp.hBOOL @t174))) % 0.50/0.79 (assume @p77 (forall @t173 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.bit0 @t138)) tptp.zero_zero_int)) @t172))) % 0.50/0.79 (assume @p78 (tptp.hBOOL (tptp.hAPP_int_bool @t3 tptp.one_one_int))) % 0.50/0.79 (assume @p79 (forall @t178 (= @t177 (or @t176 (= @t138 @t175))))) % 0.50/0.79 (assume @p80 (forall (@list @t179) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t179)) tptp.zero_zero_int))))) % 0.50/0.79 (assume @p81 (forall @t165 (= (tptp.hBOOL (tptp.hAPP_int_bool @t83 tptp.one_one_int)) @t180))) % 0.50/0.79 (assume @p82 (forall @t165 (= (tptp.hBOOL (tptp.hAPP_real_bool @t86 tptp.one_one_real)) @t180))) % 0.50/0.79 (assume @p83 (forall @t167 (= (tptp.hBOOL (tptp.hAPP_int_bool @t5 @t81)) @t181))) % 0.50/0.79 (assume @p84 (forall @t167 (= (tptp.hBOOL (tptp.hAPP_real_bool @t182 @t84)) @t181))) % 0.50/0.79 (assume @p85 (forall @t184 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_int_int @t1 @t175)) @t175)) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool @t183 tptp.zero_zero_int))))) % 0.50/0.79 (assume @p86 (forall @t33 (= (= @t146 tptp.zero_zero_int) @t30))) % 0.50/0.79 (assume @p87 (forall @t38 (= (= @t149 tptp.zero_zero_real) @t35))) % 0.50/0.79 (assume @p88 (forall @t186 (not (= @t185 tptp.pls)))) % 0.50/0.79 (assume @p89 (forall (@list @t187) (not (= tptp.pls @t188)))) % 0.50/0.79 (assume @p90 (forall @t190 (not (= @t185 @t189)))) % 0.50/0.79 (assume @p91 (forall @t190 (not (= @t191 @t188)))) % 0.50/0.79 (assume @p92 (forall @t170 (= (= @t122 tptp.pls) (= @t70 tptp.pls)))) % 0.50/0.79 (assume @p93 (forall (@list @t69) (= (= tptp.pls @t121) (= tptp.pls @t69)))) % 0.50/0.79 (assume @p94 (= (tptp.bit0 tptp.pls) tptp.pls)) % 0.50/0.79 (assume @p95 (= tptp.pls tptp.zero_zero_int)) % 0.50/0.79 (assume @p96 (not (= tptp.zero_zero_int tptp.one_one_int))) % 0.50/0.79 (assume @p97 (forall @t186 (= (tptp.hAPP_int_int @t192 tptp.pls) @t124))) % 0.50/0.79 (assume @p98 (forall @t186 (= (tptp.hAPP_int_int (tptp.plus_plus_int tptp.pls) @t124) @t124))) % 0.50/0.79 (assume @p99 (forall @t190 (= (tptp.hAPP_int_int @t194 @t189) (tptp.bit0 @t193)))) % 0.50/0.79 (assume @p100 (forall @t186 (= @t191 (tptp.hAPP_int_int @t192 @t124)))) % 0.50/0.79 (assume @p101 (forall @t195 (= (tptp.hAPP_int_int @t158 tptp.zero_zero_int) @t94))) % 0.50/0.79 (assume @p102 (forall @t195 (= (tptp.hAPP_int_int @t196 @t94) @t94))) % 0.50/0.79 (assume @p103 (= @t87 tptp.zero_zero_int)) % 0.50/0.79 (assume @p104 (= @t197 tptp.zero_zero_real)) % 0.50/0.79 (assume @p105 (= tptp.zero_zero_real @t197)) % 0.50/0.79 (assume @p106 (forall (@list @t198) (= (tptp.hAPP_int_int (tptp.plus_plus_int @t87) @t198) @t198))) % 0.50/0.79 (assume @p107 (forall (@list @t199) (= (tptp.hAPP_real_real (tptp.plus_plus_real @t197) @t199) @t199))) % 0.50/0.79 (assume @p108 (forall (@list @t200) (= (tptp.hAPP_int_int (tptp.plus_plus_int @t200) @t87) @t200))) % 0.50/0.79 (assume @p109 (forall (@list @t201) (= (tptp.hAPP_real_real (tptp.plus_plus_real @t201) @t197) @t201))) % 0.50/0.79 (assume @p110 (forall (@list @t29 @t138) (= (= (tptp.hAPP_nat_int @t31 @t139) tptp.zero_zero_int) (and @t30 @t203)))) % 0.50/0.79 (assume @p111 (forall (@list @t204 @t138) (= (= (tptp.hAPP_nat_nat @t206 @t139) tptp.zero_zero_nat) (and @t205 @t203)))) % 0.50/0.79 (assume @p112 (forall (@list @t34 @t138) (= (= (tptp.hAPP_nat_real @t36 @t139) tptp.zero_zero_real) (and @t35 @t203)))) % 0.50/0.79 (assume @p113 (forall (@list @t209 @t208 @t207) (= (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.number_number_of_int @t209)) (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.number_number_of_int @t208)) @t207)) (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.number_number_of_int @t210)) @t207)))) % 0.50/0.79 (assume @p114 (forall (@list @t209 @t208 @t211) (= (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.number267125858f_real @t209)) (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.number267125858f_real @t208)) @t211)) (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.number267125858f_real @t210)) @t211)))) % 0.50/0.79 (assume @p115 (forall @t215 (= (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.number_number_of_int @t213)) (tptp.number_number_of_int @t212)) (tptp.number_number_of_int @t214)))) % 0.50/0.79 (assume @p116 (forall @t215 (= (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.number267125858f_real @t213)) (tptp.number267125858f_real @t212)) (tptp.number267125858f_real @t214)))) % 0.50/0.79 (assume @p117 (forall @t219 (= (tptp.number_number_of_int @t218) (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.number_number_of_int @t217)) (tptp.number_number_of_int @t216))))) % 0.50/0.79 (assume @p118 (forall @t219 (= (tptp.number267125858f_real @t218) (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.number267125858f_real @t217)) (tptp.number267125858f_real @t216))))) % 0.50/0.79 (assume @p119 (forall @t190 (= (tptp.hAPP_int_int @t221 @t189) @t220))) % 0.50/0.79 (assume @p120 (forall @t190 (= (tptp.hAPP_int_int @t194 @t188) @t220))) % 0.50/0.79 (assume @p121 (forall @t186 (= @t185 (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_int_int @t1 @t124)) @t124)))) % 0.50/0.79 (assume @p122 (forall @t195 (not (= (tptp.hAPP_int_int (tptp.plus_plus_int @t222) @t94) tptp.zero_zero_int)))) % 0.50/0.79 (assume @p123 (forall @t225 (= (tptp.number_number_of_nat @t224) (tptp.hAPP_nat_nat tptp.semiri984289939at_nat @t223)))) % 0.50/0.79 (assume @p124 (forall @t225 (= (tptp.number_number_of_int @t224) @t224))) % 0.50/0.79 (assume @p125 (forall @t225 (= (tptp.number267125858f_real @t224) (tptp.hAPP_nat_real tptp.semiri132038758t_real @t223)))) % 0.50/0.79 (assume @p126 (forall @t33 (= (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t32)) (not @t30)))) % 0.50/0.79 (assume @p127 (forall @t38 (= (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t37)) (not @t35)))) % 0.50/0.79 (assume @p128 (forall (@list @t226) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int (tptp.power_power_int @t226) @t13)) tptp.zero_zero_int))))) % 0.50/0.79 (assume @p129 (forall (@list @t227) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real (tptp.power_power_real @t227) @t13)) tptp.zero_zero_real))))) % 0.50/0.79 (assume @p130 (forall @t15 (= (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t14)) (or (not @t9) (not @t7))))) % 0.50/0.79 (assume @p131 (forall @t22 (= (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t21)) (or (not @t19) (not @t17))))) % 0.50/0.79 (assume @p132 (forall (@list @t229 @t228) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.power_power_int @t229) @t13)) (tptp.hAPP_nat_int (tptp.power_power_int @t228) @t13))) tptp.zero_zero_int))))) % 0.50/0.79 (assume @p133 (forall (@list @t231 @t230) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.power_power_real @t231) @t13)) (tptp.hAPP_nat_real (tptp.power_power_real @t230) @t13))) tptp.zero_zero_real))))) % 0.50/0.79 (assume @p134 (forall @t235 (= (tptp.number_number_of_int @t234) (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_int_int @t196 @t233)) @t233)))) % 0.50/0.79 (assume @p135 (forall @t235 (= (tptp.number267125858f_real @t234) (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.hAPP_real_real @t237 @t236)) @t236)))) % 0.50/0.79 (assume @p136 (forall @t241 (= (tptp.number_number_of_int @t240) (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_int_int @t1 @t239)) @t239)))) % 0.50/0.79 (assume @p137 (forall @t241 (= (tptp.number267125858f_real @t240) (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.hAPP_real_real @t42 @t242)) @t242)))) % 0.50/0.79 (assume @p138 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.m1) @t2))) % 0.50/0.79 (assume @p139 (forall @t244 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t243)) (tptp.hAPP_nat_int (tptp.power_power_int @t46) @t243))))) % 0.50/0.79 (assume @p140 (forall @t244 (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real tptp.semiri132038758t_real @t243)) (tptp.hAPP_nat_real @t245 @t243))))) % 0.50/0.79 (assume @p141 (= @t46 (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t13))) % 0.50/0.79 (assume @p142 (= @t247 (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.number_number_of_nat @t246)))) % 0.50/0.79 (assume @p143 (forall @t105 (= (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t104)) @t248))) % 0.50/0.79 (assume @p144 (forall @t105 (= (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t249)) @t248))) % 0.50/0.79 (assume @p145 (forall @t105 (= (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t250)) @t248))) % 0.50/0.79 (assume @p146 (forall (@list @t251 @t252) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t5 @t252)) (=> @t253 (tptp.hBOOL (tptp.hAPP_int_bool @t5 (tptp.hAPP_nat_int (tptp.power_power_int @t252) @t251))))))) % 0.50/0.79 (assume @p147 (forall (@list @t251 @t254) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t255 @t254)) (=> @t253 (tptp.hBOOL (tptp.hAPP_nat_bool @t255 (tptp.hAPP_nat_nat (tptp.power_power_nat @t254) @t251))))))) % 0.50/0.79 (assume @p148 (forall (@list @t251 @t256) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t182 @t256)) (=> @t253 (tptp.hBOOL (tptp.hAPP_real_bool @t182 (tptp.hAPP_nat_real (tptp.power_power_real @t256) @t251))))))) % 0.50/0.79 (assume @p149 (forall @t261 (and (=> @t259 (= @t258 tptp.one_one_int)) (=> @t260 (= @t258 tptp.zero_zero_int))))) % 0.50/0.79 (assume @p150 (forall @t261 (and (=> @t259 (= @t262 tptp.one_one_nat)) (=> @t260 (= @t262 tptp.zero_zero_nat))))) % 0.50/0.79 (assume @p151 (forall @t261 (and (=> @t259 (= @t263 tptp.one_one_real)) (=> @t260 (= @t263 tptp.zero_zero_real))))) % 0.50/0.79 (assume @p152 (forall (@list @t265 @t264 @t267) (=> @t268 (=> (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t265)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t265) tptp.one_one_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int @t266 @t267)) (tptp.hAPP_nat_int @t266 @t264)))))))) % 0.50/0.79 (assume @p153 (forall (@list @t269 @t264 @t267) (=> @t268 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t269)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t269) tptp.one_one_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t270 @t267)) (tptp.hAPP_nat_nat @t270 @t264)))))))) % 0.50/0.79 (assume @p154 (forall (@list @t271 @t264 @t267) (=> @t268 (=> (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t271)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t271) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real @t272 @t267)) (tptp.hAPP_nat_real @t272 @t264)))))))) % 0.50/0.79 (assume @p155 (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t47))) % 0.50/0.79 (assume @p156 (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t51))) % 0.50/0.79 (assume @p157 (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t49))) % 0.50/0.79 (assume @p158 (forall @t279 (=> (tptp.hBOOL (tptp.hAPP_int_bool @t71 @t273)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t274 (tptp.hAPP_int_int (tptp.plus_plus_int @t70) tptp.one_one_int))) (=> (forall @t278 (=> (tptp.hBOOL (tptp.hAPP_int_bool @t71 @t276)) @t277)) @t275))))) % 0.50/0.79 (assume @p159 (tptp.hBOOL (tptp.hAPP_nat_bool @t66 tptp.tn))) % 0.50/0.79 (assume @p160 (forall @t281 (not (tptp.hBOOL (tptp.hAPP_nat_bool @t280 tptp.zero_zero_nat))))) % 0.50/0.79 (assume @p161 (not (= tptp.zero_zero_real tptp.one_one_real))) % 0.50/0.79 (assume @p162 (forall @t281 (not (tptp.hBOOL (tptp.hAPP_nat_bool @t280 @t88))))) % 0.50/0.79 (assume @p163 (forall @t286 (not (tptp.hBOOL (tptp.hAPP_nat_bool @t285 @t282))))) % 0.50/0.79 (assume @p164 (forall (@list @t283 @t282) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t287 @t282)) @t282))))) % 0.50/0.79 (assume @p165 (forall @t186 (= (tptp.number_number_of_int @t124) @t124))) % 0.50/0.79 (assume @p166 (forall @t163 (= @t290 (or @t289 @t288)))) % 0.50/0.79 (assume @p167 (forall @t93 (= @t96 @t292))) % 0.50/0.79 (assume @p168 (forall (@list @t294 @t296 @t293) (= (tptp.hAPP_nat_nat @t295 (tptp.hAPP_nat_nat @t297 @t293)) (tptp.hAPP_nat_nat @t297 (tptp.hAPP_nat_nat @t295 @t293))))) % 0.50/0.79 (assume @p169 (forall (@list @t89 @t88 @t179) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t96) @t179) (tptp.hAPP_nat_nat @t95 (tptp.hAPP_nat_nat @t291 @t179))))) % 0.50/0.79 (assume @p170 (forall @t302 (= (= @t301 @t300) @t161))) % 0.50/0.79 (assume @p171 (forall (@list @t160 @t298 @t102) (= (= @t304 (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t102) @t298)) @t161))) % 0.50/0.79 (assume @p172 (forall @t302 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t301) @t300)) @t289))) % 0.50/0.79 (assume @p173 (forall @t305 (=> (not (= @t294 @t296)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t294) @t296))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t296) @t294)))))) % 0.50/0.79 (assume @p174 (forall @t308 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t280 @t89)) @t307))) % 0.50/0.79 (assume @p175 (forall (@list @t310 @t309) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t310) @t309)) (not (= @t310 @t309))))) % 0.50/0.79 (assume @p176 (forall @t314 (=> @t313 (tptp.hBOOL (tptp.hAPP_nat_bool @t312 @t311))))) % 0.50/0.79 (assume @p177 (forall @t314 (=> @t313 (tptp.hBOOL (tptp.hAPP_nat_bool @t312 @t315))))) % 0.50/0.79 (assume @p178 (forall @t319 (=> @t313 (tptp.hBOOL (tptp.hAPP_nat_bool @t318 @t316))))) % 0.50/0.79 (assume @p179 (forall @t323 (=> @t313 (=> @t322 (tptp.hBOOL (tptp.hAPP_nat_bool @t318 @t321)))))) % 0.50/0.79 (assume @p180 (forall (@list @t89 @t88 @t179 @t320) (=> @t322 (=> (= (tptp.hAPP_nat_nat @t95 @t320) (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t179) @t88)) @t324)))) % 0.50/0.79 (assume @p181 (forall (@list @t282 @t283 @t179) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t285 @t179)) (tptp.hBOOL (tptp.hAPP_nat_bool @t312 @t179))))) % 0.50/0.79 (assume @p182 (forall (@list @t325 @t160 @t102) (=> (=> @t289 @t326) (=> (=> @t161 @t326) (=> (=> @t288 @t326) @t326))))) % 0.50/0.79 (assume @p183 (forall @t281 (=> @t329 @t327))) % 0.50/0.79 (assume @p184 (forall @t93 (=> @t324 @t329))) % 0.50/0.79 (assume @p185 (forall (@list @t89 @t88 @t282) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t282)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t330 @t89)) (tptp.hAPP_nat_nat @t330 @t88))) @t324)))) % 0.50/0.79 (assume @p186 (forall @t335 (= @t334 (or @t331 @t103)))) % 0.50/0.79 (assume @p187 (forall @t163 (= (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t336)) (or (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t160)) @t248)))) % 0.50/0.79 (assume @p188 (forall @t105 (= @t337 @t248))) % 0.50/0.79 (assume @p189 (forall @t335 (= @t334 (or @t103 @t331)))) % 0.50/0.79 (assume @p190 (forall @t342 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t341) @t340)) @t339))) % 0.50/0.79 (assume @p191 (forall (@list @t140 @t138) (= (tptp.hBOOL (tptp.hAPP_nat_bool @t66 (tptp.hAPP_nat_nat @t332 @t139))) (or @t202 @t331)))) % 0.50/0.79 (assume @p192 (forall @t163 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t162) @t104)) @t289))) % 0.50/0.79 (assume @p193 (forall @t348 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t347) @t346)) (and (=> @t345 (tptp.hBOOL (tptp.hAPP_int_bool @t117 @t343))) @t345)))) % 0.50/0.79 (assume @p194 (forall (@list @t349 @t350) (=> (not (= @t349 @t350)) (=> (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t349) @t350))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t350) @t349)))))) % 0.50/0.79 (assume @p195 (forall (@list @t351 @t352) (=> (not (= @t351 @t352)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t351) @t352))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t352) @t351)))))) % 0.50/0.79 (assume @p196 (forall @t93 (=> (= @t96 @t89) @t328))) % 0.50/0.79 (assume @p197 (forall @t163 (= (= @t336 tptp.zero_zero_nat) (and @t353 @t103)))) % 0.50/0.79 (assume @p198 (forall (@list @t89) (= (tptp.hAPP_nat_nat @t95 tptp.zero_zero_nat) @t89))) % 0.50/0.79 (assume @p199 (forall @t281 (= (tptp.hAPP_nat_nat @t354 @t88) @t88))) % 0.50/0.79 (assume @p200 (forall (@list @t355) (= (tptp.hAPP_nat_real (tptp.power_power_real @t355) tptp.one_one_nat) @t355))) % 0.50/0.79 (assume @p201 (forall (@list @t356) (= (tptp.hAPP_nat_nat (tptp.power_power_nat @t356) tptp.one_one_nat) @t356))) % 0.50/0.79 (assume @p202 (forall (@list @t357) (= (tptp.hAPP_nat_int (tptp.power_power_int @t357) tptp.one_one_nat) @t357))) % 0.50/0.79 (assume @p203 (forall @t163 (= (= @t358 @t250) @t161))) % 0.50/0.79 (assume @p204 (forall @t163 (= (= @t359 @t249) @t161))) % 0.50/0.79 (assume @p205 (forall @t342 (= (= @t341 @t340) @t360))) % 0.50/0.79 (assume @p206 (forall (@list @t140 @t338 @t361) (and (=> @t363 (= @t341 @t362)) (=> (not @t363) (= @t340 @t362))))) % 0.50/0.79 (assume @p207 (forall @t364 (= (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t347)) (tptp.hBOOL (tptp.hAPP_int_bool @t117 @t344))))) % 0.50/0.79 (assume @p208 (not (= tptp.one_one_real tptp.zero_zero_real))) % 0.50/0.79 (assume @p209 (not (= tptp.one_one_nat tptp.zero_zero_nat))) % 0.50/0.79 (assume @p210 (not (= tptp.one_one_int tptp.zero_zero_int))) % 0.50/0.79 (assume @p211 (not (= tptp.zero_zero_nat tptp.one_one_nat))) % 0.50/0.79 (assume @p212 (forall (@list @t365 @t366) (=> (not (= @t366 tptp.zero_zero_real)) (not (= (tptp.hAPP_nat_real (tptp.power_power_real @t366) @t365) tptp.zero_zero_real))))) % 0.50/0.79 (assume @p213 (forall (@list @t365 @t367) (=> (not (= @t367 tptp.zero_zero_int)) (not (= (tptp.hAPP_nat_int (tptp.power_power_int @t367) @t365) tptp.zero_zero_int))))) % 0.50/0.79 (assume @p214 (forall @t369 (= (tptp.hAPP_nat_real @t25 @t368) tptp.one_one_real))) % 0.50/0.79 (assume @p215 (forall @t369 (= (tptp.hAPP_nat_nat @t24 @t368) tptp.one_one_nat))) % 0.50/0.79 (assume @p216 (forall @t369 (= (tptp.hAPP_nat_int @t23 @t368) tptp.one_one_int))) % 0.50/0.79 (assume @p217 (forall @t163 (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t358) @t250)) @t289))) % 0.50/0.79 (assume @p218 (forall @t163 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t359) @t249)) @t289))) % 0.50/0.79 (assume @p219 (forall @t373 (=> @t372 (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real tptp.semiri132038758t_real @t371)) (tptp.hAPP_nat_real tptp.semiri132038758t_real @t370)))))) % 0.50/0.79 (assume @p220 (forall @t373 (=> @t372 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.semiri984289939at_nat @t371)) (tptp.hAPP_nat_nat tptp.semiri984289939at_nat @t370)))))) % 0.50/0.79 (assume @p221 (forall @t373 (=> @t372 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t371)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t370)))))) % 0.50/0.79 (assume @p222 (forall @t377 (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real tptp.semiri132038758t_real @t375)) (tptp.hAPP_nat_real tptp.semiri132038758t_real @t374))) @t376))) % 0.50/0.79 (assume @p223 (forall @t377 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.semiri984289939at_nat @t375)) (tptp.hAPP_nat_nat tptp.semiri984289939at_nat @t374))) @t376))) % 0.50/0.79 (assume @p224 (forall @t377 (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t375)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t374))) @t376))) % 0.50/0.79 (assume @p225 (forall @t381 (= (tptp.hAPP_nat_real tptp.semiri132038758t_real @t380) (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.hAPP_nat_real tptp.semiri132038758t_real @t379)) (tptp.hAPP_nat_real tptp.semiri132038758t_real @t378))))) % 0.50/0.79 (assume @p226 (forall @t381 (= (tptp.hAPP_nat_nat tptp.semiri984289939at_nat @t380) (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.semiri984289939at_nat @t379)) (tptp.hAPP_nat_nat tptp.semiri984289939at_nat @t378))))) % 0.50/0.79 (assume @p227 (forall @t381 (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t380) (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t379)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t378))))) % 0.50/0.79 (assume @p228 (= (tptp.hAPP_nat_real tptp.semiri132038758t_real tptp.one_one_nat) tptp.one_one_real)) % 0.50/0.79 (assume @p229 (= (tptp.hAPP_nat_nat tptp.semiri984289939at_nat tptp.one_one_nat) tptp.one_one_nat)) % 0.50/0.79 (assume @p230 (forall @t385 (= (tptp.hAPP_nat_real tptp.semiri132038758t_real @t384) (tptp.hAPP_nat_real (tptp.power_power_real (tptp.hAPP_nat_real tptp.semiri132038758t_real @t383)) @t382)))) % 0.50/0.79 (assume @p231 (forall @t385 (= (tptp.hAPP_nat_nat tptp.semiri984289939at_nat @t384) (tptp.hAPP_nat_nat (tptp.power_power_nat (tptp.hAPP_nat_nat tptp.semiri984289939at_nat @t383)) @t382)))) % 0.50/0.79 (assume @p232 (forall @t385 (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t384) (tptp.hAPP_nat_int (tptp.power_power_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t383)) @t382)))) % 0.50/0.79 (assume @p233 (= tptp.one_one_int @t100)) % 0.50/0.79 (assume @p234 (forall @t305 (= (tptp.hAPP_int_int (tptp.plus_plus_int @t386) (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t296)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat @t295 @t296))))) % 0.50/0.79 (assume @p235 (forall (@list @t294 @t88) (= (tptp.hAPP_nat_int (tptp.power_power_int @t386) @t88) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.power_power_nat @t294) @t88))))) % 0.50/0.79 (assume @p236 (forall (@list @t389 @t387 @t388) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t388)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t390 @t387)) (tptp.hBOOL (tptp.hAPP_real_bool @t390 (tptp.hAPP_real_real (tptp.plus_plus_real @t388) @t387))))))) % 0.50/0.79 (assume @p237 (forall (@list @t393 @t391 @t392) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t392)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t394 @t391)) (tptp.hBOOL (tptp.hAPP_nat_bool @t394 (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t392) @t391))))))) % 0.50/0.79 (assume @p238 (forall (@list @t397 @t395 @t396) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t396)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t398 @t395)) (tptp.hBOOL (tptp.hAPP_int_bool @t398 (tptp.hAPP_int_int (tptp.plus_plus_int @t396) @t395))))))) % 0.50/0.79 (assume @p239 (not (tptp.hBOOL (tptp.hAPP_real_bool @t182 tptp.zero_zero_real)))) % 0.50/0.79 (assume @p240 (not (tptp.hBOOL (tptp.hAPP_nat_bool @t255 tptp.zero_zero_nat)))) % 0.50/0.79 (assume @p241 (not (tptp.hBOOL (tptp.hAPP_int_bool @t5 tptp.zero_zero_int)))) % 0.50/0.79 (assume @p242 (tptp.hBOOL (tptp.hAPP_real_bool @t168 tptp.one_one_real))) % 0.50/0.79 (assume @p243 (tptp.hBOOL (tptp.hAPP_nat_bool @t66 tptp.one_one_nat))) % 0.50/0.79 (assume @p244 (forall (@list @t399 @t400) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t400)) (tptp.hBOOL (tptp.hAPP_real_bool @t168 (tptp.hAPP_nat_real (tptp.power_power_real @t400) @t399)))))) % 0.50/0.79 (assume @p245 (forall (@list @t399 @t401) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t401)) (tptp.hBOOL (tptp.hAPP_nat_bool @t66 (tptp.hAPP_nat_nat (tptp.power_power_nat @t401) @t399)))))) % 0.50/0.79 (assume @p246 @t406) % 0.50/0.79 (assume @p247 (forall (@list @t407) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t407) (tptp.hAPP_real_real (tptp.plus_plus_real @t407) tptp.one_one_real))))) % 0.50/0.79 (assume @p248 (forall (@list @t408) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t408) (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t408) tptp.one_one_nat))))) % 0.50/0.79 (assume @p249 (forall (@list @t409) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t409) (tptp.hAPP_int_int (tptp.plus_plus_int @t409) tptp.one_one_int))))) % 0.50/0.79 (assume @p250 (forall (@list @t160 @t102 @t34) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t182 @t34)) (= (= (tptp.hAPP_nat_real @t36 @t160) @t410) @t161)))) % 0.50/0.79 (assume @p251 (forall (@list @t160 @t102 @t204) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t255 @t204)) (= (= (tptp.hAPP_nat_nat @t206 @t160) @t411) @t161)))) % 0.50/0.79 (assume @p252 (forall (@list @t160 @t102 @t29) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t5 @t29)) (= (= (tptp.hAPP_nat_int @t31 @t160) @t412) @t161)))) % 0.50/0.79 (assume @p253 (forall @t418 (=> @t417 (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t416) @t415)) @t339)))) % 0.50/0.79 (assume @p254 (forall @t424 (=> @t423 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t422) @t421)) @t339)))) % 0.50/0.79 (assume @p255 (forall @t430 (=> @t429 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t428) @t427)) @t339)))) % 0.50/0.79 (assume @p256 (forall (@list @t432 @t431 @t434) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t182 @t434)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real @t435 @t432)) (tptp.hAPP_nat_real @t435 @t431))) @t433)))) % 0.50/0.79 (assume @p257 (forall (@list @t432 @t431 @t436) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t255 @t436)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t437 @t432)) (tptp.hAPP_nat_nat @t437 @t431))) @t433)))) % 0.50/0.79 (assume @p258 (forall (@list @t432 @t431 @t438) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t5 @t438)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int @t439 @t432)) (tptp.hAPP_nat_int @t439 @t431))) @t433)))) % 0.50/0.79 (assume @p259 (forall (@list @t441 @t443 @t440) (=> @t444 (=> (tptp.hBOOL (tptp.hAPP_real_bool @t182 @t441)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real @t442 @t443)) (tptp.hAPP_nat_real @t442 @t440))))))) % 0.50/0.79 (assume @p260 (forall (@list @t445 @t443 @t440) (=> @t444 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t255 @t445)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t446 @t443)) (tptp.hAPP_nat_nat @t446 @t440))))))) % 0.50/0.79 (assume @p261 (forall (@list @t447 @t443 @t440) (=> @t444 (=> (tptp.hBOOL (tptp.hAPP_int_bool @t5 @t447)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int @t448 @t443)) (tptp.hAPP_nat_int @t448 @t440))))))) % 0.50/0.79 (assume @p262 (forall (@list @t34 @t102) (= (= @t410 tptp.zero_zero_real) (and @t35 @t337)))) % 0.50/0.79 (assume @p263 (forall (@list @t204 @t102) (= (= @t411 tptp.zero_zero_nat) (and @t205 @t337)))) % 0.50/0.79 (assume @p264 (forall (@list @t29 @t102) (= (= @t412 tptp.zero_zero_int) (and @t30 @t337)))) % 0.50/0.79 (assume @p265 (forall @t450 (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real tptp.semiri132038758t_real @t449)) tptp.zero_zero_real))))) % 0.50/0.79 (assume @p266 (forall @t450 (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.semiri984289939at_nat @t449)) tptp.zero_zero_nat))))) % 0.50/0.79 (assume @p267 (forall @t450 (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t449)) tptp.zero_zero_int))))) % 0.50/0.79 (assume @p268 (forall (@list @t451) (= (tptp.hAPP_nat_real (tptp.power_power_real @t451) tptp.zero_zero_nat) tptp.one_one_real))) % 0.50/0.79 (assume @p269 (forall (@list @t452) (= (tptp.hAPP_nat_nat (tptp.power_power_nat @t452) tptp.zero_zero_nat) tptp.one_one_nat))) % 0.50/0.79 (assume @p270 (forall (@list @t453) (= (tptp.hAPP_nat_int (tptp.power_power_int @t453) tptp.zero_zero_nat) tptp.one_one_int))) % 0.50/0.79 (assume @p271 (= (tptp.hAPP_nat_real tptp.semiri132038758t_real tptp.zero_zero_nat) tptp.zero_zero_real)) % 0.50/0.79 (assume @p272 (= (tptp.hAPP_nat_nat tptp.semiri984289939at_nat tptp.zero_zero_nat) tptp.zero_zero_nat)) % 0.50/0.79 (assume @p273 (= tptp.zero_zero_int @t106)) % 0.50/0.79 (assume @p274 (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t13))) % 0.50/0.79 (assume @p275 (forall @t186 (=> (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t124)) (exists @t457 (and (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t454)) @t456))))) % 0.50/0.79 (assume @p276 (forall @t286 (=> @t313 (exists @t459 (and (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t458)) (= (tptp.hAPP_nat_nat @t284 @t458) @t283)))))) % 0.50/0.79 (assume @p277 (forall @t335 (= (= @t333 tptp.one_one_nat) (or @t460 @t103)))) % 0.50/0.79 (assume @p278 (forall (@list @t461) (= (tptp.hAPP_nat_real (tptp.power_power_real @t461) tptp.zero_zero_nat) tptp.one_one_real))) % 0.50/0.79 (assume @p279 (forall (@list @t462) (= (tptp.hAPP_nat_nat (tptp.power_power_nat @t462) tptp.zero_zero_nat) tptp.one_one_nat))) % 0.50/0.79 (assume @p280 (forall (@list @t463) (= (tptp.hAPP_nat_int (tptp.power_power_int @t463) tptp.zero_zero_nat) tptp.one_one_int))) % 0.50/0.79 (assume @p281 (forall @t38 (= (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t149)) (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t34))))) % 0.50/0.79 (assume @p282 (forall @t33 (= (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t146)) (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t29))))) % 0.50/0.79 (assume @p283 (forall @t464 (= (= tptp.zero_zero_real @t18) @t19))) % 0.50/0.79 (assume @p284 (forall @t466 (= (= tptp.zero_zero_nat @t140) @t465))) % 0.50/0.79 (assume @p285 (forall @t165 (= (= tptp.zero_zero_int @t8) @t9))) % 0.50/0.79 (assume @p286 (forall (@list @t468 @t469 @t467) (=> (= (tptp.hAPP_real_real (tptp.plus_plus_real @t468) @t469) (tptp.hAPP_real_real (tptp.plus_plus_real @t467) @t469)) (= @t468 @t467)))) % 0.50/0.79 (assume @p287 (forall (@list @t471 @t472 @t470) (=> (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t471) @t472) (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t470) @t472)) (= @t471 @t470)))) % 0.50/0.79 (assume @p288 (forall (@list @t474 @t475 @t473) (=> (= (tptp.hAPP_int_int (tptp.plus_plus_int @t474) @t475) (tptp.hAPP_int_int (tptp.plus_plus_int @t473) @t475)) (= @t474 @t473)))) % 0.50/0.79 (assume @p289 (forall (@list @t478 @t477 @t476) (=> (= (tptp.hAPP_real_real @t479 @t477) (tptp.hAPP_real_real @t479 @t476)) (= @t477 @t476)))) % 0.50/0.79 (assume @p290 (forall (@list @t482 @t481 @t480) (=> (= (tptp.hAPP_nat_nat @t483 @t481) (tptp.hAPP_nat_nat @t483 @t480)) (= @t481 @t480)))) % 0.50/0.79 (assume @p291 (forall (@list @t486 @t485 @t484) (=> (= (tptp.hAPP_int_int @t487 @t485) (tptp.hAPP_int_int @t487 @t484)) (= @t485 @t484)))) % 0.50/0.79 (assume @p292 (forall (@list @t490 @t489 @t488) (=> (= (tptp.hAPP_real_real @t491 @t489) (tptp.hAPP_real_real @t491 @t488)) (= @t489 @t488)))) % 0.50/0.79 (assume @p293 (forall (@list @t494 @t493 @t492) (=> (= (tptp.hAPP_nat_nat @t495 @t493) (tptp.hAPP_nat_nat @t495 @t492)) (= @t493 @t492)))) % 0.50/0.79 (assume @p294 (forall (@list @t498 @t497 @t496) (=> (= (tptp.hAPP_int_int @t499 @t497) (tptp.hAPP_int_int @t499 @t496)) (= @t497 @t496)))) % 0.50/0.79 (assume @p295 (forall (@list @t503 @t501 @t502 @t500) (= (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.hAPP_real_real @t504 @t501)) (tptp.hAPP_real_real (tptp.plus_plus_real @t502) @t500)) (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.hAPP_real_real @t504 @t502)) (tptp.hAPP_real_real (tptp.plus_plus_real @t501) @t500))))) % 0.50/0.79 (assume @p296 (forall (@list @t508 @t506 @t507 @t505) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat @t509 @t506)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t507) @t505)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat @t509 @t507)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t506) @t505))))) % 0.50/0.79 (assume @p297 (forall (@list @t513 @t511 @t512 @t510) (= (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_int_int @t514 @t511)) (tptp.hAPP_int_int (tptp.plus_plus_int @t512) @t510)) (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_int_int @t514 @t512)) (tptp.hAPP_int_int (tptp.plus_plus_int @t511) @t510))))) % 0.50/0.79 (assume @p298 (forall (@list @t413 @t34 @t515) (= (= @t520 @t518) @t516))) % 0.50/0.79 (assume @p299 (forall (@list @t419 @t204 @t521) (= (= @t526 @t524) @t522))) % 0.50/0.79 (assume @p300 (forall (@list @t425 @t29 @t527) (= (= @t532 @t530) @t528))) % 0.50/0.79 (assume @p301 (forall (@list @t34 @t413 @t515) (= (= (tptp.hAPP_real_real @t148 @t413) @t533) @t516))) % 0.50/0.79 (assume @p302 (forall (@list @t204 @t419 @t521) (= (= (tptp.hAPP_nat_nat @t534 @t419) @t535) @t522))) % 0.50/0.79 (assume @p303 (forall (@list @t29 @t425 @t527) (= (= (tptp.hAPP_int_int @t145 @t425) @t536) @t528))) % 0.50/0.79 (assume @p304 (forall (@list @t539 @t537 @t538) (= (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.hAPP_real_real @t540 @t537)) @t538) (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.hAPP_real_real @t540 @t538)) @t537)))) % 0.50/0.79 (assume @p305 (forall (@list @t543 @t541 @t542) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat @t544 @t541)) @t542) (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat @t544 @t542)) @t541)))) % 0.50/0.79 (assume @p306 (forall (@list @t547 @t545 @t546) (= (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_int_int @t548 @t545)) @t546) (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_int_int @t548 @t546)) @t545)))) % 0.50/0.79 (assume @p307 (forall (@list @t551 @t550 @t549) (= (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.hAPP_real_real @t552 @t550)) @t549) (tptp.hAPP_real_real @t552 (tptp.hAPP_real_real (tptp.plus_plus_real @t550) @t549))))) % 0.50/0.79 (assume @p308 (forall (@list @t555 @t554 @t553) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat @t556 @t554)) @t553) (tptp.hAPP_nat_nat @t556 (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t554) @t553))))) % 0.50/0.79 (assume @p309 (forall (@list @t559 @t558 @t557) (= (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_int_int @t560 @t558)) @t557) (tptp.hAPP_int_int @t560 (tptp.hAPP_int_int (tptp.plus_plus_int @t558) @t557))))) % 0.50/0.79 (assume @p310 (forall (@list @t563 @t562 @t561) (= (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.hAPP_real_real @t564 @t562)) @t561) (tptp.hAPP_real_real @t564 (tptp.hAPP_real_real (tptp.plus_plus_real @t562) @t561))))) % 0.50/0.79 (assume @p311 (forall (@list @t567 @t566 @t565) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat @t568 @t566)) @t565) (tptp.hAPP_nat_nat @t568 (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t566) @t565))))) % 0.50/0.79 (assume @p312 (forall (@list @t571 @t570 @t569) (= (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_int_int @t572 @t570)) @t569) (tptp.hAPP_int_int @t572 (tptp.hAPP_int_int (tptp.plus_plus_int @t570) @t569))))) % 0.50/0.79 (assume @p313 (forall (@list @t575 @t574 @t573) (= (tptp.hAPP_real_real @t576 (tptp.hAPP_real_real (tptp.plus_plus_real @t574) @t573)) (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.hAPP_real_real @t576 @t574)) @t573)))) % 0.50/0.79 (assume @p314 (forall (@list @t579 @t578 @t577) (= (tptp.hAPP_nat_nat @t580 (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t578) @t577)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat @t580 @t578)) @t577)))) % 0.50/0.79 (assume @p315 (forall (@list @t583 @t582 @t581) (= (tptp.hAPP_int_int @t584 (tptp.hAPP_int_int (tptp.plus_plus_int @t582) @t581)) (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_int_int @t584 @t582)) @t581)))) % 0.50/0.79 (assume @p316 (forall (@list @t586 @t588 @t585) (= (tptp.hAPP_real_real @t587 (tptp.hAPP_real_real @t589 @t585)) (tptp.hAPP_real_real @t589 (tptp.hAPP_real_real @t587 @t585))))) % 0.50/0.79 (assume @p317 (forall (@list @t591 @t593 @t590) (= (tptp.hAPP_nat_nat @t592 (tptp.hAPP_nat_nat @t594 @t590)) (tptp.hAPP_nat_nat @t594 (tptp.hAPP_nat_nat @t592 @t590))))) % 0.50/0.79 (assume @p318 (forall (@list @t596 @t598 @t595) (= (tptp.hAPP_int_int @t597 (tptp.hAPP_int_int @t599 @t595)) (tptp.hAPP_int_int @t599 (tptp.hAPP_int_int @t597 @t595))))) % 0.50/0.79 (assume @p319 (forall (@list @t600 @t601) (= (tptp.hAPP_real_real (tptp.plus_plus_real @t600) @t601) (tptp.hAPP_real_real (tptp.plus_plus_real @t601) @t600)))) % 0.50/0.79 (assume @p320 (forall (@list @t602 @t603) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t602) @t603) (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t603) @t602)))) % 0.50/0.79 (assume @p321 (forall (@list @t604 @t605) (= (tptp.hAPP_int_int (tptp.plus_plus_int @t604) @t605) (tptp.hAPP_int_int (tptp.plus_plus_int @t605) @t604)))) % 0.50/0.79 (assume @p322 (forall @t464 (= (= tptp.one_one_real @t18) (= @t18 tptp.one_one_real)))) % 0.50/0.79 (assume @p323 (forall @t466 (= (= tptp.one_one_nat @t140) @t460))) % 0.50/0.79 (assume @p324 (forall @t165 (= (= tptp.one_one_int @t8) (= @t8 tptp.one_one_int)))) % 0.50/0.79 (assume @p325 (forall (@list @t413 @t34) (= (= @t413 @t520) @t35))) % 0.50/0.79 (assume @p326 (forall (@list @t419 @t204) (= (= @t419 @t526) @t205))) % 0.50/0.79 (assume @p327 (forall (@list @t425 @t29) (= (= @t425 @t532) @t30))) % 0.50/0.79 (assume @p328 (forall (@list @t606) (= (tptp.hAPP_real_real (tptp.plus_plus_real @t606) tptp.zero_zero_real) @t606))) % 0.50/0.79 (assume @p329 (forall (@list @t607) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t607) tptp.zero_zero_nat) @t607))) % 0.50/0.79 (assume @p330 (forall (@list @t608) (= (tptp.hAPP_int_int (tptp.plus_plus_int @t608) tptp.zero_zero_int) @t608))) % 0.50/0.79 (assume @p331 (forall (@list @t609) (= (tptp.hAPP_real_real (tptp.plus_plus_real @t609) tptp.zero_zero_real) @t609))) % 0.50/0.79 (assume @p332 (forall (@list @t610) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t610) tptp.zero_zero_nat) @t610))) % 0.50/0.79 (assume @p333 (forall (@list @t611) (= (tptp.hAPP_int_int (tptp.plus_plus_int @t611) tptp.zero_zero_int) @t611))) % 0.50/0.79 (assume @p334 (forall (@list @t612) (= (tptp.hAPP_real_real (tptp.plus_plus_real @t612) tptp.zero_zero_real) @t612))) % 0.50/0.79 (assume @p335 (forall (@list @t613) (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t613) tptp.zero_zero_nat) @t613))) % 0.50/0.79 (assume @p336 (forall (@list @t614) (= (tptp.hAPP_int_int (tptp.plus_plus_int @t614) tptp.zero_zero_int) @t614))) % 0.50/0.79 (assume @p337 (forall @t38 (= (= tptp.zero_zero_real @t149) @t35))) % 0.50/0.79 (assume @p338 (forall @t33 (= (= tptp.zero_zero_int @t146) @t30))) % 0.50/0.79 (assume @p339 (forall (@list @t615) (= (tptp.hAPP_real_real @t237 @t615) @t615))) % 0.50/0.79 (assume @p340 (forall (@list @t616) (= (tptp.hAPP_nat_nat @t354 @t616) @t616))) % 0.50/0.79 (assume @p341 (forall (@list @t617) (= (tptp.hAPP_int_int @t196 @t617) @t617))) % 0.50/0.79 (assume @p342 (forall (@list @t618) (= (tptp.hAPP_real_real @t237 @t618) @t618))) % 0.50/0.79 (assume @p343 (forall (@list @t619) (= (tptp.hAPP_nat_nat @t354 @t619) @t619))) % 0.50/0.79 (assume @p344 (forall (@list @t620) (= (tptp.hAPP_int_int @t196 @t620) @t620))) % 0.50/0.79 (assume @p345 (forall (@list @t621) (= (tptp.hAPP_real_real @t237 @t621) @t621))) % 0.50/0.79 (assume @p346 (forall (@list @t622) (= (tptp.hAPP_nat_nat @t354 @t622) @t622))) % 0.50/0.79 (assume @p347 (forall (@list @t623) (= (tptp.hAPP_int_int @t196 @t623) @t623))) % 0.50/0.79 (assume @p348 (forall (@list @t626 @t625 @t624) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real @t627 @t625)) (tptp.hAPP_real_real @t627 @t624))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t625) @t624))))) % 0.50/0.79 (assume @p349 (forall (@list @t630 @t629 @t628) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t631 @t629)) (tptp.hAPP_nat_nat @t631 @t628))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t629) @t628))))) % 0.50/0.79 (assume @p350 (forall (@list @t634 @t633 @t632) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int @t635 @t633)) (tptp.hAPP_int_int @t635 @t632))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t633) @t632))))) % 0.50/0.79 (assume @p351 (forall (@list @t637 @t638 @t636) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.plus_plus_real @t637) @t638)) (tptp.hAPP_real_real (tptp.plus_plus_real @t636) @t638))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t637) @t636))))) % 0.50/0.79 (assume @p352 (forall (@list @t640 @t641 @t639) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t640) @t641)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t639) @t641))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t640) @t639))))) % 0.50/0.79 (assume @p353 (forall (@list @t643 @t644 @t642) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.plus_plus_int @t643) @t644)) (tptp.hAPP_int_int (tptp.plus_plus_int @t642) @t644))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t643) @t642))))) % 0.50/0.79 (assume @p354 (forall (@list @t647 @t645 @t648 @t646) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t648) @t646)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t647) @t645)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.plus_plus_real @t648) @t647)) (tptp.hAPP_real_real (tptp.plus_plus_real @t646) @t645))))))) % 0.50/0.79 (assume @p355 (forall (@list @t651 @t649 @t652 @t650) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t652) @t650)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t651) @t649)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t652) @t651)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t650) @t649))))))) % 0.50/0.79 (assume @p356 (forall (@list @t655 @t653 @t656 @t654) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t656) @t654)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t655) @t653)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.plus_plus_int @t656) @t655)) (tptp.hAPP_int_int (tptp.plus_plus_int @t654) @t653))))))) % 0.50/0.79 (assume @p357 (forall (@list @t658 @t660 @t657) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t660) @t657)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real @t659 @t660)) (tptp.hAPP_real_real @t659 @t657)))))) % 0.50/0.79 (assume @p358 (forall (@list @t662 @t664 @t661) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t664) @t661)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t663 @t664)) (tptp.hAPP_nat_nat @t663 @t661)))))) % 0.50/0.79 (assume @p359 (forall (@list @t666 @t668 @t665) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t668) @t665)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int @t667 @t668)) (tptp.hAPP_int_int @t667 @t665)))))) % 0.50/0.79 (assume @p360 (forall (@list @t669 @t671 @t670) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t671) @t670)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.plus_plus_real @t671) @t669)) (tptp.hAPP_real_real (tptp.plus_plus_real @t670) @t669)))))) % 0.50/0.79 (assume @p361 (forall (@list @t672 @t674 @t673) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t674) @t673)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t674) @t672)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t673) @t672)))))) % 0.50/0.79 (assume @p362 (forall (@list @t675 @t677 @t676) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t677) @t676)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.plus_plus_int @t677) @t675)) (tptp.hAPP_int_int (tptp.plus_plus_int @t676) @t675)))))) % 0.50/0.79 (assume @p363 (forall @t680 (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t518) @t679)) @t678))) % 0.50/0.79 (assume @p364 (forall @t683 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t524) @t682)) @t681))) % 0.50/0.79 (assume @p365 (forall @t686 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t530) @t685)) @t684))) % 0.50/0.79 (assume @p366 (forall @t688 (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t533) @t687)) @t678))) % 0.50/0.79 (assume @p367 (forall @t690 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t535) @t689)) @t681))) % 0.50/0.79 (assume @p368 (forall @t692 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t536) @t691)) @t684))) % 0.50/0.79 (assume @p369 (forall (@list @t693) (= (tptp.hAPP_nat_real (tptp.power_power_real @t693) tptp.one_one_nat) @t693))) % 0.50/0.79 (assume @p370 (forall (@list @t694) (= (tptp.hAPP_nat_nat (tptp.power_power_nat @t694) tptp.one_one_nat) @t694))) % 0.50/0.79 (assume @p371 (forall (@list @t695) (= (tptp.hAPP_nat_int (tptp.power_power_int @t695) tptp.one_one_nat) @t695))) % 0.50/0.79 (assume @p372 (forall @t163 (= (= (tptp.hAPP_nat_nat (tptp.power_power_nat @t160) @t102) tptp.zero_zero_nat) (and @t337 @t353)))) % 0.50/0.79 (assume @p373 (forall (@list @t696 @t697) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t697) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t696) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.plus_plus_real @t697) @t696)) tptp.zero_zero_real)))))) % 0.50/0.79 (assume @p374 (forall (@list @t698 @t699) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t699) tptp.zero_zero_nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t698) tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t699) @t698)) tptp.zero_zero_nat)))))) % 0.50/0.79 (assume @p375 (forall (@list @t700 @t701) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t701) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t700) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.plus_plus_int @t701) @t700)) tptp.zero_zero_int)))))) % 0.50/0.79 (assume @p376 (forall (@list @t702 @t703) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t703)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t702)) (tptp.hBOOL (tptp.hAPP_real_bool @t168 (tptp.hAPP_real_real (tptp.plus_plus_real @t703) @t702))))))) % 0.50/0.79 (assume @p377 (forall (@list @t704 @t705) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t705)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t704)) (tptp.hBOOL (tptp.hAPP_nat_bool @t66 (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t705) @t704))))))) % 0.50/0.79 (assume @p378 (forall (@list @t706 @t707) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t707)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t706)) (tptp.hBOOL (tptp.hAPP_int_bool @t3 (tptp.hAPP_int_int (tptp.plus_plus_int @t707) @t706))))))) % 0.50/0.79 (assume @p379 (forall @t712 (=> @t327 (=> @t711 (exists (@list @t708) (and (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t708)) (= (tptp.hAPP_nat_real (tptp.power_power_real @t708) @t88) @t710) (forall (@list @t709) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t709)) (= (tptp.hAPP_nat_real (tptp.power_power_real @t709) @t88) @t710)) (= @t709 @t708))))))))) % 0.50/0.79 (assume @p380 (forall @t712 (=> @t327 (=> @t711 (exists (@list @t713) (and (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t713)) (= (tptp.hAPP_nat_real (tptp.power_power_real @t713) @t88) @t710))))))) % 0.50/0.79 (assume @p381 (tptp.hBOOL (tptp.hAPP_int_bool @t714 tptp.t))) % 0.50/0.79 (assume @p382 (forall @t717 (and (=> @t134 (= @t716 tptp.one_one_nat)) (=> @t135 (= @t716 @t715))))) % 0.50/0.79 (assume @p383 (forall @t717 (and (=> @t134 (= @t718 tptp.one_one_nat)) (=> @t135 (= @t718 @t715))))) % 0.50/0.79 (assume @p384 (forall @t688 (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t533) @t687)) @t720))) % 0.50/0.79 (assume @p385 (forall @t690 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t535) @t689)) @t721))) % 0.50/0.79 (assume @p386 (forall @t692 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t536) @t691)) @t723))) % 0.50/0.79 (assume @p387 (forall @t680 (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t518) @t679)) @t720))) % 0.50/0.79 (assume @p388 (forall @t683 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t524) @t682)) @t721))) % 0.50/0.79 (assume @p389 (forall @t686 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t530) @t685)) @t723))) % 0.50/0.79 (assume @p390 (forall (@list @t724 @t726 @t725) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t726) @t725)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.plus_plus_real @t726) @t724)) (tptp.hAPP_real_real (tptp.plus_plus_real @t725) @t724)))))) % 0.50/0.79 (assume @p391 (forall (@list @t727 @t729 @t728) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t729) @t728)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t729) @t727)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t728) @t727)))))) % 0.50/0.79 (assume @p392 (forall (@list @t730 @t732 @t731) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t732) @t731)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.plus_plus_int @t732) @t730)) (tptp.hAPP_int_int (tptp.plus_plus_int @t731) @t730)))))) % 0.50/0.79 (assume @p393 (forall (@list @t734 @t736 @t733) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t736) @t733)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real @t735 @t736)) (tptp.hAPP_real_real @t735 @t733)))))) % 0.50/0.79 (assume @p394 (forall (@list @t738 @t740 @t737) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t740) @t737)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t739 @t740)) (tptp.hAPP_nat_nat @t739 @t737)))))) % 0.50/0.79 (assume @p395 (forall (@list @t742 @t744 @t741) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t744) @t741)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int @t743 @t744)) (tptp.hAPP_int_int @t743 @t741)))))) % 0.50/0.79 (assume @p396 (forall (@list @t747 @t745 @t748 @t746) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t748) @t746)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t747) @t745)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.plus_plus_real @t748) @t747)) (tptp.hAPP_real_real (tptp.plus_plus_real @t746) @t745))))))) % 0.50/0.79 (assume @p397 (forall (@list @t751 @t749 @t752 @t750) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t752) @t750)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t751) @t749)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t752) @t751)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t750) @t749))))))) % 0.50/0.79 (assume @p398 (forall (@list @t755 @t753 @t756 @t754) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t756) @t754)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t755) @t753)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.plus_plus_int @t756) @t755)) (tptp.hAPP_int_int (tptp.plus_plus_int @t754) @t753))))))) % 0.50/0.79 (assume @p399 (forall (@list @t758 @t759 @t757) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.plus_plus_real @t758) @t759)) (tptp.hAPP_real_real (tptp.plus_plus_real @t757) @t759))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t758) @t757))))) % 0.50/0.79 (assume @p400 (forall (@list @t761 @t762 @t760) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t761) @t762)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t760) @t762))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t761) @t760))))) % 0.50/0.79 (assume @p401 (forall (@list @t764 @t765 @t763) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.plus_plus_int @t764) @t765)) (tptp.hAPP_int_int (tptp.plus_plus_int @t763) @t765))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t764) @t763))))) % 0.50/0.79 (assume @p402 (forall (@list @t768 @t767 @t766) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real @t769 @t767)) (tptp.hAPP_real_real @t769 @t766))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t767) @t766))))) % 0.50/0.79 (assume @p403 (forall (@list @t772 @t771 @t770) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t773 @t771)) (tptp.hAPP_nat_nat @t773 @t770))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t771) @t770))))) % 0.50/0.79 (assume @p404 (forall (@list @t776 @t775 @t774) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int @t777 @t775)) (tptp.hAPP_int_int @t777 @t774))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t775) @t774))))) % 0.50/0.79 (assume @p405 (forall (@list @t779 @t781 @t778) (=> @t783 (=> (tptp.hBOOL (tptp.hAPP_real_bool @t782 @t779)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real @t780 @t781)) (tptp.hAPP_nat_real @t780 @t778))))))) % 0.50/0.79 (assume @p406 (forall (@list @t784 @t781 @t778) (=> @t783 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t786 @t784)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t785 @t781)) (tptp.hAPP_nat_nat @t785 @t778))))))) % 0.50/0.79 (assume @p407 (forall (@list @t787 @t781 @t778) (=> @t783 (=> (tptp.hBOOL (tptp.hAPP_int_bool @t714 @t787)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int @t788 @t781)) (tptp.hAPP_nat_int @t788 @t778))))))) % 0.50/0.79 (assume @p408 (forall @t113 (= (tptp.hBOOL (tptp.hAPP_int_bool @t790 @t110)) @t789))) % 0.50/0.79 (assume @p409 (forall @t75 (= (tptp.hBOOL (tptp.hAPP_int_bool @t793 @t114)) @t792))) % 0.50/0.79 (assume @p410 (tptp.hBOOL (tptp.hAPP_int_bool @t794 tptp.pls))) % 0.50/0.79 (assume @p411 (forall @t113 (= (tptp.hBOOL (tptp.hAPP_int_bool @t795 @t118)) @t789))) % 0.50/0.79 (assume @p412 (forall @t75 (= (tptp.hBOOL (tptp.hAPP_int_bool @t796 @t121)) @t792))) % 0.50/0.79 (assume @p413 (tptp.hBOOL (tptp.hAPP_int_bool @t797 tptp.zero_zero_int))) % 0.50/0.79 (assume @p414 (forall (@list @t76) (tptp.hBOOL (tptp.hAPP_int_bool @t798 @t76)))) % 0.50/0.79 (assume @p415 (forall @t159 (or @t800 @t799))) % 0.50/0.79 (assume @p416 (forall @t127 (=> @t802 (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t125) @t124)) (tptp.hBOOL (tptp.hAPP_int_bool @t801 @t124)))))) % 0.50/0.79 (assume @p417 (forall @t159 (=> @t800 (=> @t799 (= @t94 @t76))))) % 0.50/0.79 (assume @p418 (forall @t15 (= (tptp.hBOOL (tptp.hAPP_real_bool @t805 @t84)) @t804))) % 0.50/0.79 (assume @p419 (forall @t15 (= (tptp.hBOOL (tptp.hAPP_int_bool @t806 @t81)) @t804))) % 0.50/0.79 (assume @p420 (forall @t163 (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t358) @t250)) @t807))) % 0.50/0.79 (assume @p421 (forall @t163 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t359) @t249)) @t807))) % 0.50/0.79 (assume @p422 (forall @t163 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t162) @t104)) @t807))) % 0.50/0.79 (assume @p423 (forall (@list @t175 @t138) (= (tptp.hBOOL (tptp.hAPP_int_bool @t183 @t138)) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t175) @t138)) (not (= @t175 @t138)))))) % 0.50/0.79 (assume @p424 (forall @t127 (=> @t802 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int @t192 @t126)) (tptp.hAPP_int_int @t192 @t125)))))) % 0.50/0.79 (assume @p425 (forall @t75 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t74) @t73)) @t792))) % 0.50/0.79 (assume @p426 (forall @t167 (= (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t84)) @t808))) % 0.50/0.79 (assume @p427 (forall @t167 (= (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t81)) @t808))) % 0.50/0.79 (assume @p428 (forall @t165 (= (tptp.hBOOL (tptp.hAPP_real_bool @t805 tptp.zero_zero_real)) @t810))) % 0.50/0.79 (assume @p429 (forall @t165 (= (tptp.hBOOL (tptp.hAPP_int_bool @t806 tptp.zero_zero_int)) @t810))) % 0.50/0.79 (assume @p430 (forall (@list @t812 @t811 @t814) (=> @t815 (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t812)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t812) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real @t813 @t814)) (tptp.hAPP_nat_real @t813 @t811)))))))) % 0.50/0.79 (assume @p431 (forall (@list @t816 @t811 @t814) (=> @t815 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t816)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t816) tptp.one_one_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t817 @t814)) (tptp.hAPP_nat_nat @t817 @t811)))))))) % 0.50/0.79 (assume @p432 (forall (@list @t819 @t811 @t814) (=> @t815 (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t819)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t819) tptp.one_one_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int @t820 @t814)) (tptp.hAPP_nat_int @t820 @t811)))))))) % 0.50/0.79 (assume @p433 (forall @t418 (=> @t417 (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t416) @t415)) @t821)))) % 0.50/0.79 (assume @p434 (forall @t424 (=> @t423 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t422) @t421)) @t821)))) % 0.50/0.79 (assume @p435 (forall @t430 (=> @t429 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t428) @t427)) @t821)))) % 0.50/0.79 (assume @p436 (forall (@list @t823 @t822 @t825) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t182 @t825)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real @t826 @t823)) (tptp.hAPP_nat_real @t826 @t822))) @t824)))) % 0.50/0.79 (assume @p437 (forall (@list @t823 @t822 @t827) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t255 @t827)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t828 @t823)) (tptp.hAPP_nat_nat @t828 @t822))) @t824)))) % 0.50/0.79 (assume @p438 (forall (@list @t823 @t822 @t829) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t5 @t829)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int @t830 @t823)) (tptp.hAPP_nat_int @t830 @t822))) @t824)))) % 0.50/0.79 (assume @p439 (forall @t167 (= (tptp.hBOOL (tptp.hAPP_real_bool @t782 @t84)) @t831))) % 0.50/0.79 (assume @p440 (forall @t167 (= (tptp.hBOOL (tptp.hAPP_int_bool @t714 @t81)) @t831))) % 0.50/0.79 (assume @p441 (forall @t165 (= (tptp.hBOOL (tptp.hAPP_real_bool @t805 tptp.one_one_real)) @t832))) % 0.50/0.79 (assume @p442 (forall @t165 (= (tptp.hBOOL (tptp.hAPP_int_bool @t806 tptp.one_one_int)) @t832))) % 0.50/0.79 (assume @p443 (forall @t38 (= (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t149)) (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t34))))) % 0.50/0.79 (assume @p444 (forall @t33 (= (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t146)) (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t29))))) % 0.50/0.79 (assume @p445 (forall @t38 (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t149) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool @t719 tptp.zero_zero_real))))) % 0.50/0.79 (assume @p446 (forall @t33 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t146) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool @t722 tptp.zero_zero_int))))) % 0.50/0.79 (assume @p447 (forall (@list @t833 @t834) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t834)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t833)) (tptp.hBOOL (tptp.hAPP_real_bool @t809 (tptp.hAPP_real_real (tptp.plus_plus_real @t834) @t833))))))) % 0.50/0.79 (assume @p448 (forall (@list @t835 @t836) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t836)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t835)) (tptp.hBOOL (tptp.hAPP_nat_bool @t818 (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t836) @t835))))))) % 0.50/0.79 (assume @p449 (forall (@list @t837 @t838) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t838)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t837)) (tptp.hBOOL (tptp.hAPP_int_bool @t797 (tptp.hAPP_int_int (tptp.plus_plus_int @t838) @t837))))))) % 0.50/0.79 (assume @p450 (forall @t839 (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t18)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t16)) (= (= (tptp.hAPP_real_real (tptp.plus_plus_real @t18) @t16) tptp.zero_zero_real) @t20))))) % 0.50/0.79 (assume @p451 (forall @t840 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t140)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t338)) (= (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t140) @t338) tptp.zero_zero_nat) (and @t465 (= @t338 tptp.zero_zero_nat))))))) % 0.50/0.79 (assume @p452 (forall @t842 (=> @t841 (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t6)) (= (= (tptp.hAPP_int_int (tptp.plus_plus_int @t8) @t6) tptp.zero_zero_int) @t10))))) % 0.50/0.79 (assume @p453 (forall (@list @t845 @t843 @t844) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t844)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t846 @t843)) (tptp.hBOOL (tptp.hAPP_real_bool @t846 (tptp.hAPP_real_real (tptp.plus_plus_real @t844) @t843))))))) % 0.50/0.79 (assume @p454 (forall (@list @t849 @t847 @t848) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t848)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t850 @t847)) (tptp.hBOOL (tptp.hAPP_nat_bool @t850 (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t848) @t847))))))) % 0.50/0.79 (assume @p455 (forall (@list @t853 @t851 @t852) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t852)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t854 @t851)) (tptp.hBOOL (tptp.hAPP_int_bool @t854 (tptp.hAPP_int_int (tptp.plus_plus_int @t852) @t851))))))) % 0.50/0.79 (assume @p456 (forall (@list @t857 @t856 @t855) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t855)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t858 @t856)) (tptp.hBOOL (tptp.hAPP_real_bool @t858 (tptp.hAPP_real_real (tptp.plus_plus_real @t856) @t855))))))) % 0.50/0.79 (assume @p457 (forall (@list @t861 @t860 @t859) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t859)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t862 @t860)) (tptp.hBOOL (tptp.hAPP_nat_bool @t862 (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t860) @t859))))))) % 0.50/0.79 (assume @p458 (forall (@list @t865 @t864 @t863) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t863)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t866 @t864)) (tptp.hBOOL (tptp.hAPP_int_bool @t866 (tptp.hAPP_int_int (tptp.plus_plus_int @t864) @t863))))))) % 0.50/0.79 (assume @p459 (forall (@list @t867 @t868) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t868) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t867) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.plus_plus_real @t868) @t867)) tptp.zero_zero_real)))))) % 0.50/0.79 (assume @p460 (forall (@list @t869 @t870) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t870) tptp.zero_zero_nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t869) tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t870) @t869)) tptp.zero_zero_nat)))))) % 0.50/0.79 (assume @p461 (forall (@list @t871 @t872) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t872) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t871) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.plus_plus_int @t872) @t871)) tptp.zero_zero_int)))))) % 0.50/0.79 (assume @p462 (forall (@list @t875 @t873 @t876 @t874) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t876) @t874)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t875) @t873)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.plus_plus_real @t876) @t875)) (tptp.hAPP_real_real (tptp.plus_plus_real @t874) @t873))))))) % 0.50/0.79 (assume @p463 (forall (@list @t879 @t877 @t880 @t878) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t880) @t878)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t879) @t877)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t880) @t879)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t878) @t877))))))) % 0.50/0.79 (assume @p464 (forall (@list @t883 @t881 @t884 @t882) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t884) @t882)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t883) @t881)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.plus_plus_int @t884) @t883)) (tptp.hAPP_int_int (tptp.plus_plus_int @t882) @t881))))))) % 0.50/0.79 (assume @p465 (forall (@list @t887 @t885 @t888 @t886) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t888) @t886)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t887) @t885)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.plus_plus_real @t888) @t887)) (tptp.hAPP_real_real (tptp.plus_plus_real @t886) @t885))))))) % 0.50/0.79 (assume @p466 (forall (@list @t891 @t889 @t892 @t890) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t892) @t890)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t891) @t889)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t892) @t891)) (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t890) @t889))))))) % 0.50/0.79 (assume @p467 (forall (@list @t895 @t893 @t896 @t894) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t896) @t894)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t895) @t893)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.plus_plus_int @t896) @t895)) (tptp.hAPP_int_int (tptp.plus_plus_int @t894) @t893))))))) % 0.50/0.79 (assume @p468 (not (tptp.hBOOL (tptp.hAPP_real_bool @t782 tptp.zero_zero_real)))) % 0.50/0.79 (assume @p469 (not (tptp.hBOOL (tptp.hAPP_nat_bool @t786 tptp.zero_zero_nat)))) % 0.50/0.79 (assume @p470 (not (tptp.hBOOL (tptp.hAPP_int_bool @t714 tptp.zero_zero_int)))) % 0.50/0.79 (assume @p471 (tptp.hBOOL (tptp.hAPP_real_bool @t809 tptp.one_one_real))) % 0.50/0.79 (assume @p472 (tptp.hBOOL (tptp.hAPP_nat_bool @t818 tptp.one_one_nat))) % 0.50/0.79 (assume @p473 (tptp.hBOOL (tptp.hAPP_int_bool @t797 tptp.one_one_int))) % 0.50/0.79 (assume @p474 (forall @t898 (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t897) @t142)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t142) @t897)))))) % 0.50/0.79 (assume @p475 (forall @t898 (= (tptp.hBOOL (tptp.hAPP_nat_bool @t899 @t139)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t139) @t347)))))) % 0.50/0.79 (assume @p476 (forall @t898 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t900) @t141)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t141) @t900)))))) % 0.50/0.79 (assume @p477 (forall (@list @t901 @t902) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t902)) (tptp.hBOOL (tptp.hAPP_real_bool @t809 (tptp.hAPP_nat_real (tptp.power_power_real @t902) @t901)))))) % 0.50/0.79 (assume @p478 (forall (@list @t901 @t903) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t903)) (tptp.hBOOL (tptp.hAPP_nat_bool @t818 (tptp.hAPP_nat_nat (tptp.power_power_nat @t903) @t901)))))) % 0.50/0.79 (assume @p479 (forall (@list @t901 @t904) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t904)) (tptp.hBOOL (tptp.hAPP_int_bool @t797 (tptp.hAPP_nat_int (tptp.power_power_int @t904) @t901)))))) % 0.50/0.79 (assume @p480 (forall (@list @t905 @t907 @t906) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t907) @t906)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t907)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real (tptp.power_power_real @t907) @t905)) (tptp.hAPP_nat_real (tptp.power_power_real @t906) @t905))))))) % 0.50/0.79 (assume @p481 (forall (@list @t905 @t909 @t908) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t909) @t908)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t909)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.power_power_nat @t909) @t905)) (tptp.hAPP_nat_nat (tptp.power_power_nat @t908) @t905))))))) % 0.50/0.79 (assume @p482 (forall (@list @t905 @t911 @t910) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t911) @t910)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t911)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int (tptp.power_power_int @t911) @t905)) (tptp.hAPP_nat_int (tptp.power_power_int @t910) @t905))))))) % 0.50/0.79 (assume @p483 (forall (@list @t912 @t913) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t782 @t913)) (tptp.hBOOL (tptp.hAPP_real_bool @t782 (tptp.hAPP_nat_real (tptp.power_power_real @t913) @t912)))))) % 0.50/0.79 (assume @p484 (forall (@list @t912 @t914) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t786 @t914)) (tptp.hBOOL (tptp.hAPP_nat_bool @t786 (tptp.hAPP_nat_nat (tptp.power_power_nat @t914) @t912)))))) % 0.50/0.79 (assume @p485 (forall (@list @t912 @t915) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t714 @t915)) (tptp.hBOOL (tptp.hAPP_int_bool @t714 (tptp.hAPP_nat_int (tptp.power_power_int @t915) @t912)))))) % 0.50/0.79 (assume @p486 (forall @t917 (tptp.hBOOL (tptp.hAPP_real_bool @t809 (tptp.hAPP_nat_real tptp.semiri132038758t_real @t916))))) % 0.50/0.79 (assume @p487 (forall @t917 (tptp.hBOOL (tptp.hAPP_nat_bool @t818 (tptp.hAPP_nat_nat tptp.semiri984289939at_nat @t916))))) % 0.50/0.79 (assume @p488 (forall @t917 (tptp.hBOOL (tptp.hAPP_int_bool @t797 (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t916))))) % 0.50/0.79 (assume @p489 (forall @t919 (tptp.hBOOL (tptp.hAPP_real_bool @t809 (tptp.hAPP_nat_real tptp.semiri132038758t_real @t918))))) % 0.50/0.79 (assume @p490 (forall @t919 (tptp.hBOOL (tptp.hAPP_nat_bool @t818 (tptp.hAPP_nat_nat tptp.semiri984289939at_nat @t918))))) % 0.50/0.79 (assume @p491 (forall @t919 (tptp.hBOOL (tptp.hAPP_int_bool @t797 (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t918))))) % 0.50/0.79 (assume @p492 (forall @t170 (= (tptp.hBOOL (tptp.hAPP_int_bool @t794 @t115)) @t920))) % 0.50/0.79 (assume @p493 (forall @t75 (= (tptp.hBOOL (tptp.hAPP_int_bool @t796 @t114)) @t792))) % 0.50/0.79 (assume @p494 (forall @t113 (= (tptp.hBOOL (tptp.hAPP_int_bool @t795 @t110)) @t789))) % 0.50/0.79 (assume @p495 (forall @t170 (= (tptp.hBOOL (tptp.hAPP_int_bool @t794 @t122)) @t920))) % 0.50/0.79 (assume @p496 (forall @t170 (= (tptp.hBOOL (tptp.hAPP_int_bool @t796 tptp.pls)) (tptp.hBOOL (tptp.hAPP_int_bool @t791 tptp.pls))))) % 0.50/0.79 (assume @p497 (forall (@list @t67 @t52) (=> @t921 (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t67)) (tptp.hBOOL (tptp.hAPP_int_bool @t797 (tptp.hAPP_int_int @t154 @t67))))))) % 0.50/0.79 (assume @p498 (forall (@list @t922 @t94 @t923 @t76) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t923) @t76)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t922) @t94)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.plus_plus_int @t923) @t922)) @t157)))))) % 0.50/0.79 (assume @p499 (forall (@list @t293) (tptp.hBOOL (tptp.hAPP_int_bool @t797 (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t293))))) % 0.50/0.79 (assume @p500 (forall @t931 (= (exists @t930 (and @t929 @t928)) (exists @t926 @t925)))) % 0.50/0.79 (assume @p501 (forall @t931 (= (forall @t930 (=> @t929 @t928)) (forall @t926 @t925)))) % 0.50/0.79 (assume @p502 (forall @t281 (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t98)))) % 0.50/0.79 (assume @p503 (forall (@list @t88 @t52) (=> @t921 (tptp.hBOOL (tptp.hAPP_int_bool @t797 (tptp.hAPP_nat_int @t53 @t88)))))) % 0.50/0.79 (assume @p504 (forall @t178 (= @t933 (exists @t457 (= @t175 (tptp.hAPP_int_int @t932 @t455)))))) % 0.50/0.79 (assume @p505 (forall @t937 (=> @t936 (= (tptp.hAPP_real_real @t42 (tptp.number267125858f_real @t934)) (tptp.number267125858f_real @t935))))) % 0.50/0.79 (assume @p506 (forall @t937 (=> @t936 (= (tptp.hAPP_nat_nat @t50 (tptp.number_number_of_nat @t934)) (tptp.number_number_of_nat @t935))))) % 0.50/0.79 (assume @p507 (forall @t937 (=> @t936 (= (tptp.hAPP_int_int @t1 (tptp.number_number_of_int @t934)) (tptp.number_number_of_int @t935))))) % 0.50/0.79 (assume @p508 (forall @t941 (=> @t940 (= (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.number267125858f_real @t938)) tptp.one_one_real) (tptp.number267125858f_real @t939))))) % 0.50/0.79 (assume @p509 (forall @t941 (=> @t940 (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.number_number_of_nat @t938)) tptp.one_one_nat) (tptp.number_number_of_nat @t939))))) % 0.50/0.79 (assume @p510 (forall @t941 (=> @t940 (= (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.number_number_of_int @t938)) tptp.one_one_int) (tptp.number_number_of_int @t939))))) % 0.50/0.79 (assume @p511 (forall (@list @t942 @t943) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t943)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t942)) (tptp.hBOOL (tptp.hAPP_real_bool @t168 (tptp.hAPP_real_real (tptp.plus_plus_real @t943) @t942))))))) % 0.50/0.79 (assume @p512 (forall (@list @t944 @t945) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t945)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t944)) (tptp.hBOOL (tptp.hAPP_nat_bool @t66 (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t945) @t944))))))) % 0.50/0.79 (assume @p513 (forall (@list @t946 @t947) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t947)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t946)) (tptp.hBOOL (tptp.hAPP_int_bool @t3 (tptp.hAPP_int_int (tptp.plus_plus_int @t947) @t946))))))) % 0.50/0.79 (assume @p514 (forall (@list @t948 @t949) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t949)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t948)) (tptp.hBOOL (tptp.hAPP_real_bool @t168 (tptp.hAPP_real_real (tptp.plus_plus_real @t949) @t948))))))) % 0.50/0.79 (assume @p515 (forall (@list @t950 @t951) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t951)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t950)) (tptp.hBOOL (tptp.hAPP_nat_bool @t66 (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t951) @t950))))))) % 0.50/0.79 (assume @p516 (forall (@list @t952 @t953) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t953)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t952)) (tptp.hBOOL (tptp.hAPP_int_bool @t3 (tptp.hAPP_int_int (tptp.plus_plus_int @t953) @t952))))))) % 0.50/0.79 (assume @p517 (forall (@list @t956 @t954 @t955) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t955)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t956) @t954)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t956) (tptp.hAPP_real_real (tptp.plus_plus_real @t955) @t954))))))) % 0.50/0.79 (assume @p518 (forall (@list @t959 @t957 @t958) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t66 @t958)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t959) @t957)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t959) (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t958) @t957))))))) % 0.50/0.79 (assume @p519 (forall (@list @t962 @t960 @t961) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t961)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t962) @t960)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t962) (tptp.hAPP_int_int (tptp.plus_plus_int @t961) @t960))))))) % 0.50/0.79 (assume @p520 (forall (@list @t965 @t963 @t964) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t964)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t966 @t963)) (tptp.hBOOL (tptp.hAPP_real_bool @t966 (tptp.hAPP_real_real (tptp.plus_plus_real @t964) @t963))))))) % 0.50/0.79 (assume @p521 (forall (@list @t969 @t967 @t968) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t968)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t970 @t967)) (tptp.hBOOL (tptp.hAPP_nat_bool @t970 (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t968) @t967))))))) % 0.50/0.79 (assume @p522 (forall (@list @t973 @t971 @t972) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t972)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t974 @t971)) (tptp.hBOOL (tptp.hAPP_int_bool @t974 (tptp.hAPP_int_int (tptp.plus_plus_int @t972) @t971))))))) % 0.50/0.79 (assume @p523 (forall (@list @t975 @t976) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t976) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t975) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.plus_plus_real @t976) @t975)) tptp.zero_zero_real)))))) % 0.50/0.79 (assume @p524 (forall (@list @t977 @t978) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t978) tptp.zero_zero_nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t977) tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t978) @t977)) tptp.zero_zero_nat)))))) % 0.50/0.79 (assume @p525 (forall (@list @t979 @t980) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t980) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t979) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.plus_plus_int @t980) @t979)) tptp.zero_zero_int)))))) % 0.50/0.79 (assume @p526 (forall (@list @t981 @t982) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t982) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t981) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.plus_plus_real @t982) @t981)) tptp.zero_zero_real)))))) % 0.50/0.79 (assume @p527 (forall (@list @t983 @t984) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t984) tptp.zero_zero_nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t983) tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t984) @t983)) tptp.zero_zero_nat)))))) % 0.50/0.79 (assume @p528 (forall (@list @t985 @t986) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t986) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t985) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.plus_plus_int @t986) @t985)) tptp.zero_zero_int)))))) % 0.50/0.79 (assume @p529 (forall (@list @t988 @t989 @t987) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real (tptp.power_power_real @t988) @t989)) (tptp.hAPP_nat_real (tptp.power_power_real @t987) @t989))) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t987)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t988) @t987)))))) % 0.50/0.79 (assume @p530 (forall (@list @t991 @t989 @t990) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.power_power_nat @t991) @t989)) (tptp.hAPP_nat_nat (tptp.power_power_nat @t990) @t989))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t990)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t991) @t990)))))) % 0.50/0.79 (assume @p531 (forall (@list @t993 @t989 @t992) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int (tptp.power_power_int @t993) @t989)) (tptp.hAPP_nat_int (tptp.power_power_int @t992) @t989))) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t992)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t993) @t992)))))) % 0.50/0.79 (assume @p532 (forall @t364 (= (= tptp.zero_zero_nat @t347) @t995))) % 0.50/0.79 (assume @p533 (forall @t364 (= (= @t347 tptp.zero_zero_nat) @t995))) % 0.50/0.79 (assume @p534 (forall @t170 (= (tptp.hBOOL (tptp.hAPP_int_bool @t117 @t115)) @t920))) % 0.50/0.79 (assume @p535 (forall @t170 (= (tptp.hBOOL (tptp.hAPP_int_bool @t793 tptp.pls)) @t169))) % 0.50/0.79 (assume @p536 (forall @t75 (= (tptp.hBOOL (tptp.hAPP_int_bool @t123 @t114)) @t792))) % 0.50/0.79 (assume @p537 (forall @t113 (= (tptp.hBOOL (tptp.hAPP_int_bool @t120 @t110)) @t789))) % 0.50/0.79 (assume @p538 (forall @t75 (= (tptp.hBOOL (tptp.hAPP_int_bool @t793 @t121)) @t72))) % 0.50/0.79 (assume @p539 (forall @t113 (= (tptp.hBOOL (tptp.hAPP_int_bool @t790 @t118)) @t109))) % 0.50/0.79 (assume @p540 (forall @t184 (= (tptp.hBOOL (tptp.hAPP_int_bool @t714 @t175)) (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t175))))) % 0.50/0.79 (assume @p541 (forall @t105 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t104) tptp.zero_zero_int)) @t103))) % 0.50/0.79 (assume @p542 (= (tptp.succ tptp.pls) @t11)) % 0.50/0.79 (assume @p543 (forall @t186 (= (tptp.succ @t191) @t185))) % 0.50/0.79 (assume @p544 (forall @t186 (= (tptp.succ @t185) (tptp.bit0 @t996)))) % 0.50/0.79 (assume @p545 (forall @t178 (= @t177 @t933))) % 0.50/0.79 (assume @p546 (forall @t178 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int @t932 tptp.one_one_int)) @t175)) @t176))) % 0.50/0.79 (assume @p547 (forall (@list @t76 @t94) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t76) @t94)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int @t156 tptp.one_one_int)) @t94))))) % 0.50/0.79 (assume @p548 (forall @t186 (= @t996 (tptp.hAPP_int_int @t192 tptp.one_one_int)))) % 0.50/0.79 (assume @p549 (forall (@list @t998 @t999 @t997) (=> (= (tptp.hAPP_nat_real (tptp.power_power_real @t998) @t999) (tptp.hAPP_nat_real (tptp.power_power_real @t997) @t999)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t998)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t997)) (=> @t1000 (= @t998 @t997))))))) % 0.50/0.79 (assume @p550 (forall (@list @t1002 @t999 @t1001) (=> (= (tptp.hAPP_nat_nat (tptp.power_power_nat @t1002) @t999) (tptp.hAPP_nat_nat (tptp.power_power_nat @t1001) @t999)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t1002)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t1001)) (=> @t1000 (= @t1002 @t1001))))))) % 0.50/0.79 (assume @p551 (forall (@list @t1004 @t999 @t1003) (=> (= (tptp.hAPP_nat_int (tptp.power_power_int @t1004) @t999) (tptp.hAPP_nat_int (tptp.power_power_int @t1003) @t999)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t1004)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t1003)) (=> @t1000 (= @t1004 @t1003))))))) % 0.50/0.79 (assume @p552 (forall @t1010 (=> @t1009 (=> @t1008 (= (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.number267125858f_real @t1006)) (tptp.number267125858f_real @t1005)) (tptp.number267125858f_real @t1007)))))) % 0.50/0.79 (assume @p553 (forall @t1010 (=> @t1009 (=> @t1008 (= (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.number_number_of_nat @t1006)) (tptp.number_number_of_nat @t1005)) (tptp.number_number_of_nat @t1007)))))) % 0.50/0.79 (assume @p554 (forall @t1010 (=> @t1009 (=> @t1008 (= (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.number_number_of_int @t1006)) (tptp.number_number_of_int @t1005)) (tptp.number_number_of_int @t1007)))))) % 0.50/0.79 (assume @p555 (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t247))) % 0.50/0.79 (assume @p556 (forall @t195 (=> @t1011 (tptp.hBOOL (tptp.hAPP_int_bool @t3 @t222))))) % 0.50/0.79 (assume @p557 (forall @t1014 (= (tptp.number267125858f_real @t1013) (tptp.hAPP_real_real @t42 (tptp.number267125858f_real @t1012))))) % 0.50/0.79 (assume @p558 (forall @t1014 (= (tptp.number_number_of_int @t1013) (tptp.hAPP_int_int @t1 (tptp.number_number_of_int @t1012))))) % 0.50/0.79 (assume @p559 (forall @t190 (= (tptp.hAPP_int_int @t221 @t188) (tptp.bit0 (tptp.hAPP_int_int @t192 (tptp.succ @t187)))))) % 0.50/0.79 (assume @p560 (forall (@list @t1015 @t1017 @t1016) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t1017) @t1016)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t1017)) (=> @t1018 (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real (tptp.power_power_real @t1017) @t1015)) (tptp.hAPP_nat_real (tptp.power_power_real @t1016) @t1015)))))))) % 0.50/0.79 (assume @p561 (forall (@list @t1015 @t1020 @t1019) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t1020) @t1019)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t1020)) (=> @t1018 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.power_power_nat @t1020) @t1015)) (tptp.hAPP_nat_nat (tptp.power_power_nat @t1019) @t1015)))))))) % 0.50/0.79 (assume @p562 (forall (@list @t1015 @t1022 @t1021) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t1022) @t1021)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t1022)) (=> @t1018 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int (tptp.power_power_int @t1022) @t1015)) (tptp.hAPP_nat_int (tptp.power_power_int @t1021) @t1015)))))))) % 0.50/0.79 (assume @p563 (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t46))) % 0.50/0.79 (assume @p564 (forall @t55 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t52) @t54)))) % 0.50/0.79 (assume @p565 (forall (@list @t1023) (tptp.hBOOL (tptp.hAPP_real_bool @t809 (tptp.hAPP_nat_real (tptp.power_power_real @t1023) @t13))))) % 0.50/0.79 (assume @p566 (forall (@list @t1024) (tptp.hBOOL (tptp.hAPP_int_bool @t797 (tptp.hAPP_nat_int (tptp.power_power_int @t1024) @t13))))) % 0.50/0.79 (assume @p567 (forall (@list @t1026 @t1025) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real (tptp.power_power_real @t1026) @t13)) (tptp.hAPP_nat_real (tptp.power_power_real @t1025) @t13))) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t1025)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1026) @t1025)))))) % 0.50/0.79 (assume @p568 (forall (@list @t1028 @t1027) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.power_power_nat @t1028) @t13)) (tptp.hAPP_nat_nat (tptp.power_power_nat @t1027) @t13))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t1027)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1028) @t1027)))))) % 0.50/0.79 (assume @p569 (forall (@list @t1030 @t1029) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int (tptp.power_power_int @t1030) @t13)) (tptp.hAPP_nat_int (tptp.power_power_int @t1029) @t13))) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t1029)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1030) @t1029)))))) % 0.50/0.79 (assume @p570 (forall (@list @t1032 @t1031) (=> (= (tptp.hAPP_nat_real (tptp.power_power_real @t1032) @t13) (tptp.hAPP_nat_real (tptp.power_power_real @t1031) @t13)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t1032)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t1031)) (= @t1032 @t1031)))))) % 0.50/0.79 (assume @p571 (forall (@list @t1034 @t1033) (=> (= (tptp.hAPP_nat_nat (tptp.power_power_nat @t1034) @t13) (tptp.hAPP_nat_nat (tptp.power_power_nat @t1033) @t13)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t1034)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t1033)) (= @t1034 @t1033)))))) % 0.50/0.79 (assume @p572 (forall (@list @t1036 @t1035) (=> (= (tptp.hAPP_nat_int (tptp.power_power_int @t1036) @t13) (tptp.hAPP_nat_int (tptp.power_power_int @t1035) @t13)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t1036)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t1035)) (= @t1036 @t1035)))))) % 0.50/0.79 (assume @p573 (forall @t1043 (and (=> @t1041 (= @t1039 (tptp.number267125858f_real @t1037))) (=> @t1042 (= @t1039 tptp.zero_zero_real))))) % 0.50/0.79 (assume @p574 (forall @t1043 (and (=> @t1041 (= @t1044 @t1040)) (=> @t1042 (= @t1044 tptp.zero_zero_int))))) % 0.50/0.79 (assume @p575 (forall (@list @t1046 @t1045) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real (tptp.power_power_real @t1046) @t13)) (tptp.hAPP_nat_real (tptp.power_power_real @t1045) @t13))) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t809 @t1045)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real @t1046) @t1045)))))) % 0.50/0.79 (assume @p576 (forall (@list @t1048 @t1047) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.power_power_nat @t1048) @t13)) (tptp.hAPP_nat_nat (tptp.power_power_nat @t1047) @t13))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t1047)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t1048) @t1047)))))) % 0.50/0.79 (assume @p577 (forall (@list @t1050 @t1049) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int (tptp.power_power_int @t1050) @t13)) (tptp.hAPP_nat_int (tptp.power_power_int @t1049) @t13))) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t1049)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int @t1050) @t1049)))))) % 0.50/0.79 (assume @p578 (forall (@list @t1052 @t1051) (tptp.hBOOL (tptp.hAPP_real_bool @t809 (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.power_power_real @t1052) @t13)) (tptp.hAPP_nat_real (tptp.power_power_real @t1051) @t13)))))) % 0.50/0.79 (assume @p579 (forall (@list @t1054 @t1053) (tptp.hBOOL (tptp.hAPP_int_bool @t797 (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.power_power_int @t1054) @t13)) (tptp.hAPP_nat_int (tptp.power_power_int @t1053) @t13)))))) % 0.50/0.79 (assume @p580 (forall @t22 (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t21) tptp.zero_zero_real)) @t20))) % 0.50/0.79 (assume @p581 (forall @t15 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t14) tptp.zero_zero_int)) @t10))) % 0.50/0.79 (assume @p582 (forall @t55 (=> @t921 (=> (tptp.hBOOL (tptp.hAPP_int_bool @t68 @t46)) (or (= @t52 tptp.zero_zero_int) (= @t52 tptp.one_one_int)))))) % 0.50/0.79 (assume @p583 (forall (@list @t1055) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t797 (tptp.number_number_of_int @t1055))) (and (tptp.hBOOL (tptp.hAPP_int_bool @t797 (tptp.number_number_of_int (tptp.bit0 @t1055)))) (tptp.hBOOL (tptp.hAPP_int_bool @t797 (tptp.number_number_of_int (tptp.bit1 @t1055)))))))) % 0.50/0.79 (assume @p584 (tptp.hBOOL (tptp.hAPP_int_bool @t797 @t87))) % 0.50/0.79 (assume @p585 (forall @t186 (=> @t1056 (exists @t457 @t456)))) % 0.50/0.79 (assume @p586 (forall @t186 (=> @t1056 (not (forall @t457 (not @t456)))))) % 0.50/0.79 (assume @p587 (forall @t281 (tptp.hBOOL (tptp.hAPP_nat_bool @t818 @t88)))) % 0.50/0.79 (assume @p588 (forall @t105 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t102) tptp.zero_zero_nat)) @t103))) % 0.50/0.79 (assume @p589 (forall @t93 (=> (or @t324 @t306) @t1057))) % 0.50/0.79 (assume @p590 (forall @t93 (=> @t1057 (=> @t307 @t324)))) % 0.50/0.79 (assume @p591 (forall @t93 (=> @t324 @t1057))) % 0.50/0.79 (assume @p592 (forall @t163 (= @t807 (or @t289 @t161)))) % 0.50/0.79 (assume @p593 (forall @t163 (= @t289 (and @t807 @t290)))) % 0.50/0.79 (assume @p594 (forall @t281 (tptp.hBOOL (tptp.hAPP_nat_bool @t1058 @t88)))) % 0.50/0.79 (assume @p595 (forall @t93 (or @t1057 @t1059))) % 0.50/0.79 (assume @p596 (forall @t93 (=> @t306 @t1057))) % 0.50/0.79 (assume @p597 (forall @t319 (=> @t1061 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t283) @t179)) (tptp.hBOOL (tptp.hAPP_nat_bool @t1060 @t179)))))) % 0.50/0.79 (assume @p598 (forall @t93 (=> @t1057 (=> @t1059 @t306)))) % 0.50/0.79 (assume @p599 (forall @t22 (= @t1065 (or @t1064 @t1062)))) % 0.50/0.79 (assume @p600 (forall @t22 (= @t1064 (and @t1065 (not @t1062))))) % 0.50/0.79 (assume @p601 (forall @t308 (tptp.hBOOL (tptp.hAPP_nat_bool @t1058 @t96)))) % 0.50/0.79 (assume @p602 (forall @t308 (tptp.hBOOL (tptp.hAPP_nat_bool @t1058 @t292)))) % 0.50/0.79 (assume @p603 (forall @t163 (= @t807 (exists @t459 (= @t102 (tptp.hAPP_nat_nat @t303 @t458)))))) % 0.50/0.79 (assume @p604 (forall @t302 (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t301) @t300)) @t807))) % 0.50/0.79 (assume @p605 (forall @t314 (=> @t1061 (tptp.hBOOL (tptp.hAPP_nat_bool @t1060 @t311))))) % 0.50/0.79 (assume @p606 (forall @t314 (=> @t1061 (tptp.hBOOL (tptp.hAPP_nat_bool @t1060 @t315))))) % 0.50/0.79 (assume @p607 (forall @t319 (=> @t1061 (tptp.hBOOL (tptp.hAPP_nat_bool @t1066 @t316))))) % 0.50/0.79 (assume @p608 (forall @t323 (=> @t1061 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t1067 @t320)) (tptp.hBOOL (tptp.hAPP_nat_bool @t1066 @t321)))))) % 0.50/0.79 (assume @p609 (forall @t1070 (=> @t1069 @t1068))) % 0.50/0.79 (assume @p610 (forall @t1070 (=> @t1069 @t1057))) % 0.50/0.79 (assume @p611 (forall @t1070 (=> @t1069 (not (=> @t1057 (not @t1068)))))) % 0.50/0.79 (assume @p612 (forall (@list @t1072 @t1074 @t1071) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1074) @t1071)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real @t1073 @t1074)) (tptp.hAPP_real_real @t1073 @t1071)))))) % 0.50/0.79 (assume @p613 (forall @t342 (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t341) @t340)) @t821))) % 0.50/0.79 (assume @p614 (forall @t348 (= (tptp.hBOOL (tptp.hAPP_nat_bool @t899 @t346)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool @t994 @t343))) @t995)))) % 0.50/0.79 (assume @p615 (forall @t281 (tptp.hBOOL (tptp.hAPP_real_bool @t782 (tptp.hAPP_nat_real @t245 @t88))))) % 0.50/0.79 (assume @p616 (forall @t1078 (=> @t1077 (= (and @t841 @t363) (and @t841 @t1076))))) % 0.50/0.79 (assume @p617 (forall @t1078 (=> @t1077 (= (=> @t841 @t363) (=> @t841 @t1076))))) % 0.50/0.79 (assume @p618 (forall @t1085 (=> @t1084 (=> @t1083 (exists @t459 (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t458) @t102)) (forall @t1082 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1080) @t458)) @t1081)) (tptp.hBOOL (tptp.hAPP_nat_bool @t1079 (tptp.hAPP_nat_nat (tptp.plus_plus_nat @t458) tptp.one_one_nat))))))))) % 0.50/0.79 (assume @p619 (forall @t195 (=> @t1011 (not (forall (@list @t1086) (not (= @t94 (tptp.hAPP_nat_int tptp.semiri1621563631at_int @t1086)))))))) % 0.50/0.79 (assume @p620 (forall (@list @t160 @t298 @t1087) (=> (forall (@list @t1086 @t454) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t1086) @t454)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t1087 @t1086)) (tptp.hAPP_nat_nat @t1087 @t454))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.plus_plus_nat (tptp.hAPP_nat_nat @t1087 @t160)) @t298)) (tptp.hAPP_nat_nat @t1087 @t304)))))) % 0.50/0.79 (assume @p621 (forall (@list @t1088) (tptp.hBOOL (tptp.hAPP_real_bool @t1089 @t1088)))) % 0.50/0.79 (assume @p622 (forall @t1092 (or @t1091 @t1090))) % 0.50/0.79 (assume @p623 (forall (@list @t1093 @t1094 @t1096) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t1095 @t1096)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1096) @t1093)) (tptp.hBOOL (tptp.hAPP_real_bool @t1095 @t1093)))))) % 0.50/0.79 (assume @p624 (forall @t1092 (=> @t1091 (=> @t1090 (= @t1072 @t1088))))) % 0.50/0.79 (assume @p625 (forall @t279 (=> (tptp.hBOOL (tptp.hAPP_int_bool @t791 @t273)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t274 @t70)) (=> (forall @t278 (=> (tptp.hBOOL (tptp.hAPP_int_bool @t791 @t276)) @t277)) @t275))))) % 0.50/0.79 (assume @p626 (forall @t1085 (=> @t1084 (=> @t1083 (exists @t459 (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t458) @t102)) (forall @t1082 (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t1097 @t458)) @t1081)) (tptp.hBOOL (tptp.hAPP_nat_bool @t1079 @t458)))))))) % 0.50/0.79 (assume @p627 (forall (@list @t1099 @t1098 @t1087) (=> (forall (@list @t1080 @t1100) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t1097 @t1100)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat @t1087 @t1080)) (tptp.hAPP_nat_nat @t1087 @t1100))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1099) @t1098)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat @t1087 @t1099)) (tptp.hAPP_nat_nat @t1087 @t1098))))))) % 0.50/0.79 (assume @p628 (forall (@list @t1101) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1101) @t1101)))) % 0.50/0.79 (assume @p629 (forall (@list @t1102) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1102) @t1102)))) % 0.50/0.79 (assume @p630 (forall (@list @t1103) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1103) @t1103)))) % 0.50/0.79 (assume @p631 (forall (@list @t1104 @t1105) (=> (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1104) @t1105))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1105) @t1104))))) % 0.50/0.79 (assume @p632 (forall (@list @t1106 @t1107) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1106) @t1107))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1107) @t1106))))) % 0.50/0.79 (assume @p633 (forall (@list @t1108 @t1109) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1108) @t1109))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1109) @t1108))))) % 0.50/0.79 (assume @p634 (forall (@list @t1111 @t1113 @t1110) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1113) @t1110)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t1112 @t1113)) (tptp.hBOOL (tptp.hAPP_real_bool @t1112 @t1110)))))) % 0.50/0.79 (assume @p635 (forall (@list @t1115 @t1117 @t1114) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1117) @t1114)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t1116 @t1117)) (tptp.hBOOL (tptp.hAPP_nat_bool @t1116 @t1114)))))) % 0.50/0.79 (assume @p636 (forall (@list @t1119 @t1121 @t1118) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1121) @t1118)) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t1120 @t1121)) (tptp.hBOOL (tptp.hAPP_int_bool @t1120 @t1118)))))) % 0.50/0.79 (assume @p637 (forall (@list @t1122 @t1123) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1122) @t1123)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1123) @t1122)) (= @t1123 @t1122))))) % 0.50/0.79 (assume @p638 (forall (@list @t1124 @t1125) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1124) @t1125)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1125) @t1124)) (= @t1125 @t1124))))) % 0.50/0.79 (assume @p639 (forall (@list @t1126 @t1127) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1126) @t1127)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1127) @t1126)) (= @t1127 @t1126))))) % 0.50/0.79 (assume @p640 (forall (@list @t1128 @t1129 @t1131) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t1130 @t1131)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1131) @t1128)) (tptp.hBOOL (tptp.hAPP_real_bool @t1130 @t1128)))))) % 0.50/0.79 (assume @p641 (forall (@list @t1132 @t1133 @t1135) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t1134 @t1135)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1135) @t1132)) (tptp.hBOOL (tptp.hAPP_nat_bool @t1134 @t1132)))))) % 0.50/0.79 (assume @p642 (forall (@list @t1136 @t1137 @t1139) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t1138 @t1139)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1139) @t1136)) (tptp.hBOOL (tptp.hAPP_int_bool @t1138 @t1136)))))) % 0.50/0.79 (assume @p643 (forall (@list @t1141 @t1140) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1141) @t1140)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1140) @t1141)) (= @t1141 @t1140))))) % 0.50/0.79 (assume @p644 (forall (@list @t1143 @t1142) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1143) @t1142)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1142) @t1143)) (= @t1143 @t1142))))) % 0.50/0.79 (assume @p645 (forall (@list @t1145 @t1144) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1145) @t1144)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1144) @t1145)) (= @t1145 @t1144))))) % 0.50/0.79 (assume @p646 (forall (@list @t1147 @t1148 @t1146) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1148) @t1146)) (=> (= @t1148 @t1147) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1147) @t1146)))))) % 0.50/0.79 (assume @p647 (forall (@list @t1150 @t1151 @t1149) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1151) @t1149)) (=> (= @t1151 @t1150) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1150) @t1149)))))) % 0.50/0.79 (assume @p648 (forall (@list @t1153 @t1154 @t1152) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1154) @t1152)) (=> (= @t1154 @t1153) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1153) @t1152)))))) % 0.50/0.79 (assume @p649 (forall (@list @t1155 @t1156 @t1158) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t1157 @t1158)) (=> (= @t1158 @t1155) (tptp.hBOOL (tptp.hAPP_real_bool @t1157 @t1155)))))) % 0.50/0.79 (assume @p650 (forall (@list @t1159 @t1160 @t1162) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t1161 @t1162)) (=> (= @t1162 @t1159) (tptp.hBOOL (tptp.hAPP_nat_bool @t1161 @t1159)))))) % 0.50/0.79 (assume @p651 (forall (@list @t1163 @t1164 @t1166) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t1165 @t1166)) (=> (= @t1166 @t1163) (tptp.hBOOL (tptp.hAPP_int_bool @t1165 @t1163)))))) % 0.50/0.79 (assume @p652 (forall (@list @t1168 @t1167 @t1170) (=> (= @t1167 @t1170) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t1169 @t1170)) (tptp.hBOOL (tptp.hAPP_real_bool @t1169 @t1167)))))) % 0.50/0.79 (assume @p653 (forall (@list @t1172 @t1171 @t1174) (=> (= @t1171 @t1174) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t1173 @t1174)) (tptp.hBOOL (tptp.hAPP_nat_bool @t1173 @t1171)))))) % 0.50/0.79 (assume @p654 (forall (@list @t1176 @t1175 @t1178) (=> (= @t1175 @t1178) (=> (tptp.hBOOL (tptp.hAPP_int_bool @t1177 @t1178)) (tptp.hBOOL (tptp.hAPP_int_bool @t1177 @t1175)))))) % 0.50/0.79 (assume @p655 (forall (@list @t1179 @t1180 @t1181) (=> (= @t1180 @t1181) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1181) @t1179)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t1180) @t1179)))))) % 0.50/0.79 (assume @p656 (forall (@list @t1182 @t1183 @t1184) (=> (= @t1183 @t1184) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1184) @t1182)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t1183) @t1182)))))) % 0.50/0.79 (assume @p657 (forall (@list @t1185 @t1186 @t1187) (=> (= @t1186 @t1187) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1187) @t1185)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1186) @t1185)))))) % 0.50/0.79 (assume @p658 (forall @t839 (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real @t16) @t18)) (= @t1065 @t1062)))) % 0.50/0.79 (assume @p659 (forall @t840 (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat @t338) @t140)) (= @t821 @t360)))) % 0.50/0.79 (assume @p660 (forall @t842 (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t6) @t8)) (= @t804 @t137)))) % 0.50/0.79 (assume @p661 (forall (@list @t1189 @t1188) (=> (= @t1189 @t1188) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int @t1189) @t1188))))) % 0.50/0.79 (assume @p662 (forall (@list @t1190 @t1193) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t1193)) (=> (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t1190)) (exists (@list @t1191) (and (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t1191)) (tptp.hBOOL (tptp.hAPP_real_bool @t1192 @t1193)) (tptp.hBOOL (tptp.hAPP_real_bool @t1192 @t1190)))))))) % 0.50/0.79 (assume @p663 (forall (@list @t1074 @t1071) (tptp.hBOOL (tptp.hAPP_real_bool @t809 (tptp.sqrt (tptp.hAPP_real_real (tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.power_power_real @t1074) @t13)) (tptp.hAPP_nat_real (tptp.power_power_real @t1071) @t13))))))) % 0.50/0.79 (assume @p664 (forall (@list @t1195 @t1194) (= (tptp.hAPP_nat_int (tptp.power_power_int (tptp.hAPP_int_int (tptp.plus_plus_int @t1195) @t1194)) @t13) (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.power_power_int @t1195) @t13)) (tptp.times_times_int (tptp.times_times_int @t46 @t1195) @t1194))) (tptp.hAPP_nat_int (tptp.power_power_int @t1194) @t13))))) % 0.50/0.79 (assume @p665 (forall @t190 (= (tptp.times_times_int @t185 @t187) (tptp.hAPP_int_int (tptp.plus_plus_int (tptp.bit0 (tptp.times_times_int @t124 @t187))) @t187)))) % 0.50/0.79 (assume @p666 (forall @t1198 (=> @t1197 (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t1196))))) % 0.50/0.79 (assume @p667 (forall @t1198 (=> @t1197 (not (= @t1196 tptp.zero_zero_real))))) % 0.50/0.79 (assume @p668 (forall @t464 (= (tptp.hBOOL (tptp.hAPP_real_bool @t1199 tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool @t1063 tptp.zero_zero_real))))) % 0.50/0.79 (assume @p669 (forall @t1201 (= (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t1200)) (tptp.hBOOL (tptp.hAPP_real_bool @t168 @t16))))) % 0.50/0.79 (assume @p670 (forall @t464 (= (tptp.hBOOL (tptp.hAPP_real_bool @t1199 tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool @t1063 tptp.one_one_real))))) % 0.50/0.79 (assume @p671 (forall @t1201 (= (tptp.hBOOL (tptp.hAPP_real_bool @t182 @t1200)) (tptp.hBOOL (tptp.hAPP_real_bool @t182 @t16))))) % 0.50/0.79 (assume @p672 (forall @t305 (= (tptp.hAPP_nat_nat (tptp.if_nat tptp.fTrue @t294) @t296) @t294))) % 0.50/0.79 (assume @p673 (forall @t305 (= (tptp.hAPP_nat_nat (tptp.if_nat tptp.fFalse @t294) @t296) @t296))) % 0.50/0.79 (assume @p674 (forall (@list @t1202) (or (= @t1202 tptp.fTrue) (= @t1202 tptp.fFalse)))) % 0.50/0.79 (assume @p675 (not (not @t1204))) % 0.50/0.79 (assume @p676 true) % 0.50/0.79 (step @p677 :rule bool-impl-elim :args (@t404 @t403)) % 0.50/0.79 (step @p678 :rule cong :premises (@p677) :args (@t406)) % 0.50/0.79 (step @p679 :rule eq_resolve :premises (@p246 @p678)) % 0.50/0.79 (step @p680 :rule false_intro :premises (@p46)) % 0.50/0.79 (step @p681 :rule symm :premises (@p95)) % 0.50/0.79 (step @p682 :rule refl :args (@t117)) % 0.50/0.79 (step @p683 :rule cong :premises (@p682 @p681) :args (@t174)) % 0.50/0.79 (step @p684 :rule eq-symm :args (@t1203 tptp.zero_zero_int)) % 0.50/0.79 (step @p685 :rule bool-double-not-elim :args (@t1204)) % 0.50/0.79 (step @p686 :rule trans :premises (@p685 @p684)) % 0.50/0.79 (step @p687 :rule eq_resolve :premises (@p675 @p686)) % 0.50/0.79 (step @p688 :rule symm :premises (@p687)) % 0.50/0.79 (step @p689 :rule refl :args (tptp.ord_less_int)) % 0.50/0.79 (step @p690 :rule cong :premises (@p689 @p681) :args (@t3)) % 0.50/0.79 (step @p691 :rule cong :premises (@p690 @p688) :args (@t1205)) % 0.50/0.79 (step @p692 :rule trans :premises (@p691 @p683)) % 0.50/0.79 (step @p693 :rule cong :premises (@p692) :args (@t1206)) % 0.50/0.79 (step @p694 :rule trans :premises (@p693 @p680)) % 0.50/0.79 (step @p695 :rule false_elim :premises (@p694)) % 0.50/0.79 (step @p696 :rule cnf_or_pos :args (@t1208)) % 0.50/0.79 (step @p697 :rule reordering :premises (@p696) :args ((or @t1207 @t1206 @t1209))) % 0.50/0.79 (step @p698 :rule chain_m_resolution :premises (@p697 @p1 @p695) :args (@t1209 (@list false true) (@list @t4 @t1206))) % 0.50/0.79 (assume-push @p705 @t1210) % 0.50/0.79 (step @p700 :rule instantiate :premises (@p679) :args ((@list @t13 @t2))) % 0.50/0.79 (step-pop @p706 :rule scope :premises (@p700)) % 0.50/0.79 (step @p701 :rule process_scope :premises (@p706) :args (@t1208)) % 0.50/0.79 (step @p703 :rule implies_elim :premises (@p701)) % 0.50/0.79 (step @p704 false :rule chain_m_resolution :premises (@p703 @p698 @p679) :args (false (@list true false) (@list @t1208 @t1210))) % 0.50/0.79 ) % 0.50/0.79 % SZS output end Proof % 0.50/0.79 % cvc5 exiting %------------------------------------------------------------------------------