%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM925+6 : 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 : n023.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 08:41:05 AM UTC 2026 % Result : Theorem 1.11s 1.32s % Output : Proof 1.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM925+6 : TPTP v9.2.1. Released v5.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n023.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 12:34:43 EDT 2026 % 0.15/0.34 % CPUTime : % 0.39/0.67 %----Proving TF0_NAR, FOF, or CNF % 1.11/1.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.11/1.32 % SZS status Theorem % 1.11/1.32 % SZS output start Proof % 1.11/1.32 ( % 1.11/1.32 (declare-sort $$unsorted 0) % 1.11/1.32 (declare-const tptp.linord893533164strict (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.linordered_ring (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.linord581940658strict (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.dense_linorder (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.order (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.ordere779506340up_add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.ord (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.ord_less (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.semiring_1 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.number_semiring (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.number_number_of (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.fun (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.real $$unsorted) % 1.11/1.32 (declare-const tptp.pls $$unsorted) % 1.11/1.32 (declare-const tptp.linordered_idom (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.bit1 $$unsorted) % 1.11/1.32 (declare-const tptp.power_power (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.semiring_0 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.succ $$unsorted) % 1.11/1.32 (declare-const tptp.preorder (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.ring_11004092258visors (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.cancel_semigroup_add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.semiring_1_of_nat (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.ti (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.times_times (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.bool $$unsorted) % 1.11/1.32 (declare-const tptp.ord_less_eq (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.semiring_char_0 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.ordere216010020id_add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.zero_zero (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.undefined (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.ab_semigroup_add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.monoid_add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.number (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.comm_semiring_1 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.plus_plus (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.if (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.linord20386208strict (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.one (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.int $$unsorted) % 1.11/1.32 (declare-const tptp.linordered_semiring (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.t $$unsorted) % 1.11/1.32 (declare-const tptp.sqrt $$unsorted) % 1.11/1.32 (declare-const tptp.zero (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.power (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.fFalse $$unsorted) % 1.11/1.32 (declare-const tptp.fTrue $$unsorted) % 1.11/1.32 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.m1 $$unsorted) % 1.11/1.32 (declare-const tptp.ordere236663937imp_le (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.n $$unsorted) % 1.11/1.32 (declare-const tptp.tn $$unsorted) % 1.11/1.32 (declare-const tptp.number_ring (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.bit0 $$unsorted) % 1.11/1.32 (declare-const tptp.mult_zero (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.ordere223160158up_add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.ring_char_0 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.linord219039673up_add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.zero_neq_one (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.one_one (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.semiri456707255roduct (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.no_zero_divisors (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.nat $$unsorted) % 1.11/1.32 (declare-const tptp.linordered_semidom (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.linorder (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.monoid_mult (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.cancel146912293up_add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.comm_monoid_add (-> $$unsorted Bool)) % 1.11/1.32 (define @t1 () (@var "X_a" $$unsorted)) % 1.11/1.32 (define @t2 () (tptp.one_one @t1)) % 1.11/1.32 (define @t3 () (tptp.one @t1)) % 1.11/1.32 (define @t4 () (@list @t1)) % 1.11/1.32 (define @t5 () (@var "B_1_1" $$unsorted)) % 1.11/1.32 (define @t6 () (tptp.plus_plus @t1 @t5)) % 1.11/1.32 (define @t7 () (tptp.ti @t1 @t5)) % 1.11/1.32 (define @t8 () (= (tptp.plus_plus @t1 @t7) @t6)) % 1.11/1.32 (define @t9 () (tptp.monoid_add @t1)) % 1.11/1.32 (define @t10 () (@list @t5 @t1)) % 1.11/1.32 (define @t11 () (tptp.fun @t1 @t1)) % 1.11/1.32 (define @t12 () (= (tptp.ti @t11 @t6) @t6)) % 1.11/1.32 (define @t13 () (tptp.ab_semigroup_add @t1)) % 1.11/1.32 (define @t14 () (tptp.cancel_semigroup_add @t1)) % 1.11/1.32 (define @t15 () (tptp.times_times @t1)) % 1.11/1.32 (define @t16 () (tptp.fun @t1 @t11)) % 1.11/1.32 (define @t17 () (tptp.linordered_semiring @t1)) % 1.11/1.32 (define @t18 () (tptp.zero_zero @t1)) % 1.11/1.32 (define @t19 () (tptp.zero @t1)) % 1.11/1.32 (define @t20 () (tptp.undefined @t1)) % 1.11/1.32 (define @t21 () (tptp.if @t1)) % 1.11/1.32 (define @t22 () (tptp.fun tptp.bool @t16)) % 1.11/1.32 (define @t23 () (tptp.fun tptp.int tptp.int)) % 1.11/1.32 (define @t24 () (tptp.number_number_of @t1 @t5)) % 1.11/1.32 (define @t25 () (tptp.number @t1)) % 1.11/1.32 (define @t26 () (tptp.semiring_1_of_nat @t1)) % 1.11/1.32 (define @t27 () (tptp.fun tptp.nat @t1)) % 1.11/1.32 (define @t28 () (tptp.semiring_1 @t1)) % 1.11/1.32 (define @t29 () (tptp.ord_less @t1)) % 1.11/1.32 (define @t30 () (tptp.fun @t1 tptp.bool)) % 1.11/1.32 (define @t31 () (tptp.ord @t1)) % 1.11/1.32 (define @t32 () (@var "X_b" $$unsorted)) % 1.11/1.32 (define @t33 () (tptp.ord_less_eq @t32)) % 1.11/1.32 (define @t34 () (tptp.fun @t32 tptp.bool)) % 1.11/1.32 (define @t35 () (tptp.ord @t32)) % 1.11/1.32 (define @t36 () (tptp.power_power @t1 @t5)) % 1.11/1.32 (define @t37 () (tptp.power @t1)) % 1.11/1.32 (define @t38 () (@var "B_2" $$unsorted)) % 1.11/1.32 (define @t39 () (tptp.hAPP @t1 @t32 @t5 @t38)) % 1.11/1.32 (define @t40 () (tptp.fun @t1 @t32)) % 1.11/1.32 (define @t41 () (@list @t1 @t5 @t38 @t32)) % 1.11/1.32 (define @t42 () (tptp.ti @t1 @t38)) % 1.11/1.32 (define @t43 () (tptp.hAPP tptp.nat @t1 @t5 @t38)) % 1.11/1.32 (define @t44 () (@list @t5 @t38 @t1)) % 1.11/1.32 (define @t45 () (tptp.hAPP tptp.bool @t16 @t5 @t38)) % 1.11/1.32 (define @t46 () (@list @t1 @t5 @t38)) % 1.11/1.32 (define @t47 () (tptp.hAPP @t1 @t11 @t5 @t38)) % 1.11/1.32 (define @t48 () (tptp.hAPP @t1 @t1 @t5 @t38)) % 1.11/1.32 (define @t49 () (tptp.semiring_1_of_nat tptp.int)) % 1.11/1.32 (define @t50 () (tptp.one_one tptp.int)) % 1.11/1.32 (define @t51 () (tptp.plus_plus tptp.int @t50)) % 1.11/1.32 (define @t52 () (tptp.hAPP tptp.int tptp.int @t51 (tptp.hAPP tptp.nat tptp.int @t49 tptp.n))) % 1.11/1.32 (define @t53 () (tptp.zero_zero tptp.int)) % 1.11/1.32 (define @t54 () (tptp.ord_less tptp.int)) % 1.11/1.32 (define @t55 () (tptp.fun tptp.int tptp.bool)) % 1.11/1.32 (define @t56 () (tptp.hAPP tptp.int @t55 @t54 @t53)) % 1.11/1.32 (define @t57 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t56 @t52))) % 1.11/1.32 (define @t58 () (@var "Ya" $$unsorted)) % 1.11/1.32 (define @t59 () (tptp.ti @t1 @t58)) % 1.11/1.32 (define @t60 () (= @t59 @t18)) % 1.11/1.32 (define @t61 () (@var "Xa" $$unsorted)) % 1.11/1.32 (define @t62 () (tptp.ti @t1 @t61)) % 1.11/1.32 (define @t63 () (= @t62 @t18)) % 1.11/1.32 (define @t64 () (and @t63 @t60)) % 1.11/1.32 (define @t65 () (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) % 1.11/1.32 (define @t66 () (tptp.hAPP tptp.int tptp.int tptp.bit0 @t65)) % 1.11/1.32 (define @t67 () (tptp.number_number_of tptp.nat @t66)) % 1.11/1.32 (define @t68 () (tptp.hAPP @t1 @t1 (tptp.plus_plus @t1 (tptp.hAPP tptp.nat @t1 (tptp.power_power @t1 @t61) @t67)) (tptp.hAPP tptp.nat @t1 (tptp.power_power @t1 @t58) @t67))) % 1.11/1.32 (define @t69 () (@list @t61 @t58)) % 1.11/1.32 (define @t70 () (tptp.linordered_idom @t1)) % 1.11/1.32 (define @t71 () (tptp.power_power @t1 @t2)) % 1.11/1.32 (define @t72 () (tptp.power_power @t1 @t18)) % 1.11/1.32 (define @t73 () (@var "A_2" $$unsorted)) % 1.11/1.32 (define @t74 () (tptp.ti @t1 @t73)) % 1.11/1.32 (define @t75 () (= @t74 @t18)) % 1.11/1.32 (define @t76 () (tptp.power_power @t1 @t73)) % 1.11/1.32 (define @t77 () (tptp.hAPP tptp.nat @t1 @t76 @t67)) % 1.11/1.32 (define @t78 () (@list @t73)) % 1.11/1.32 (define @t79 () (tptp.ring_11004092258visors @t1)) % 1.11/1.32 (define @t80 () (@var "W_1" $$unsorted)) % 1.11/1.32 (define @t81 () (tptp.number_number_of @t1 @t80)) % 1.11/1.32 (define @t82 () (tptp.plus_plus @t1 @t2)) % 1.11/1.32 (define @t83 () (tptp.hAPP @t1 @t1 @t82 @t81)) % 1.11/1.32 (define @t84 () (@list @t80)) % 1.11/1.32 (define @t85 () (tptp.number_ring @t1)) % 1.11/1.32 (define @t86 () (@var "V_1" $$unsorted)) % 1.11/1.32 (define @t87 () (tptp.plus_plus tptp.int @t86)) % 1.11/1.32 (define @t88 () (tptp.number_number_of @t1 @t86)) % 1.11/1.32 (define @t89 () (tptp.plus_plus @t1 @t88)) % 1.11/1.32 (define @t90 () (tptp.hAPP @t1 @t1 @t89 @t2)) % 1.11/1.32 (define @t91 () (@list @t86)) % 1.11/1.32 (define @t92 () (tptp.number_number_of @t1 @t66)) % 1.11/1.32 (define @t93 () (tptp.hAPP @t1 @t1 @t82 @t2)) % 1.11/1.32 (define @t94 () (= @t93 @t92)) % 1.11/1.32 (define @t95 () (tptp.number_semiring @t1)) % 1.11/1.32 (define @t96 () (@var "X" $$unsorted)) % 1.11/1.32 (define @t97 () (tptp.power_power tptp.int @t96)) % 1.11/1.32 (define @t98 () (tptp.hAPP tptp.nat tptp.int @t97 @t67)) % 1.11/1.32 (define @t99 () (@list @t96)) % 1.11/1.32 (define @t100 () (tptp.number_number_of tptp.nat @t80)) % 1.11/1.32 (define @t101 () (tptp.hAPP tptp.nat @t1 @t72 @t100)) % 1.11/1.32 (define @t102 () (tptp.zero_zero tptp.nat)) % 1.11/1.32 (define @t103 () (= @t100 @t102)) % 1.11/1.32 (define @t104 () (and @t37 (tptp.semiring_0 @t1))) % 1.11/1.32 (define @t105 () (tptp.number_number_of @t1 @t65)) % 1.11/1.32 (define @t106 () (= @t105 @t2)) % 1.11/1.32 (define @t107 () (tptp.ord_less tptp.nat)) % 1.11/1.32 (define @t108 () (tptp.fun tptp.nat tptp.bool)) % 1.11/1.32 (define @t109 () (tptp.hAPP tptp.nat @t108 @t107 @t102)) % 1.11/1.32 (define @t110 () (@var "Y" $$unsorted)) % 1.11/1.32 (define @t111 () (= @t96 @t110)) % 1.11/1.32 (define @t112 () (tptp.hAPP tptp.int @t55 @t54 @t96)) % 1.11/1.32 (define @t113 () (@list @t96 @t110)) % 1.11/1.32 (define @t114 () (@var "L_1" $$unsorted)) % 1.11/1.32 (define @t115 () (@var "K_2" $$unsorted)) % 1.11/1.32 (define @t116 () (tptp.hAPP tptp.int @t55 @t54 @t115)) % 1.11/1.32 (define @t117 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t116 @t114))) % 1.11/1.32 (define @t118 () (tptp.number_number_of tptp.int @t114)) % 1.11/1.32 (define @t119 () (tptp.number_number_of tptp.int @t115)) % 1.11/1.32 (define @t120 () (@list @t115 @t114)) % 1.11/1.32 (define @t121 () (tptp.hAPP tptp.int tptp.int @t87 @t80)) % 1.11/1.32 (define @t122 () (tptp.number_number_of tptp.int @t86)) % 1.11/1.32 (define @t123 () (@list @t86 @t80)) % 1.11/1.32 (define @t124 () (tptp.hAPP tptp.int @t55 @t54 @t61)) % 1.11/1.32 (define @t125 () (tptp.number_number_of @t1 @t58)) % 1.11/1.32 (define @t126 () (tptp.number_number_of @t1 @t61)) % 1.11/1.32 (define @t127 () (tptp.hAPP @t1 @t30 @t29 @t126)) % 1.11/1.32 (define @t128 () (and @t85 @t70)) % 1.11/1.32 (define @t129 () (tptp.number_number_of tptp.int tptp.pls)) % 1.11/1.32 (define @t130 () (@var "N" $$unsorted)) % 1.11/1.32 (define @t131 () (@var "M_1" $$unsorted)) % 1.11/1.32 (define @t132 () (tptp.hAPP tptp.nat tptp.nat (tptp.power_power tptp.nat @t131) @t130)) % 1.11/1.32 (define @t133 () (tptp.hAPP tptp.nat tptp.int @t49 @t132)) % 1.11/1.32 (define @t134 () (tptp.hAPP tptp.nat tptp.int @t49 @t131)) % 1.11/1.32 (define @t135 () (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int @t134) @t130)) % 1.11/1.32 (define @t136 () (@list @t131 @t130)) % 1.11/1.32 (define @t137 () (@var "Z_1" $$unsorted)) % 1.11/1.32 (define @t138 () (tptp.plus_plus tptp.nat @t131)) % 1.11/1.32 (define @t139 () (tptp.hAPP tptp.nat tptp.nat @t138 @t130)) % 1.11/1.32 (define @t140 () (tptp.hAPP tptp.nat tptp.int @t49 @t139)) % 1.11/1.32 (define @t141 () (tptp.hAPP tptp.nat tptp.int @t49 @t130)) % 1.11/1.32 (define @t142 () (tptp.plus_plus tptp.int @t134)) % 1.11/1.32 (define @t143 () (tptp.one_one tptp.nat)) % 1.11/1.32 (define @t144 () (tptp.hAPP tptp.nat tptp.int @t49 @t143)) % 1.11/1.32 (define @t145 () (tptp.number_number_of tptp.nat tptp.pls)) % 1.11/1.32 (define @t146 () (@var "Na" $$unsorted)) % 1.11/1.32 (define @t147 () (= @t146 @t102)) % 1.11/1.32 (define @t148 () (tptp.hAPP tptp.nat tptp.int @t49 @t146)) % 1.11/1.32 (define @t149 () (@list @t146)) % 1.11/1.32 (define @t150 () (tptp.hAPP tptp.nat tptp.int @t49 @t102)) % 1.11/1.32 (define @t151 () (tptp.plus_plus tptp.nat @t143)) % 1.11/1.32 (define @t152 () (@var "K2" $$unsorted)) % 1.11/1.32 (define @t153 () (@var "K1" $$unsorted)) % 1.11/1.32 (define @t154 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 @t153) @t152))) % 1.11/1.32 (define @t155 () (tptp.hAPP tptp.int tptp.int tptp.bit1 @t152)) % 1.11/1.32 (define @t156 () (tptp.hAPP tptp.int tptp.int tptp.bit1 @t153)) % 1.11/1.32 (define @t157 () (tptp.hAPP tptp.int @t55 @t54 @t156)) % 1.11/1.32 (define @t158 () (@list @t153 @t152)) % 1.11/1.32 (define @t159 () (tptp.hAPP tptp.int tptp.int tptp.bit1 @t114)) % 1.11/1.32 (define @t160 () (tptp.hAPP tptp.int tptp.int tptp.bit1 @t115)) % 1.11/1.32 (define @t161 () (tptp.hAPP tptp.int @t55 @t54 @t160)) % 1.11/1.32 (define @t162 () (tptp.hAPP tptp.int @t55 @t54 tptp.pls)) % 1.11/1.32 (define @t163 () (tptp.hAPP tptp.int tptp.int tptp.bit0 @t152)) % 1.11/1.32 (define @t164 () (tptp.hAPP tptp.int tptp.int tptp.bit0 @t153)) % 1.11/1.32 (define @t165 () (tptp.hAPP tptp.int @t55 @t54 @t164)) % 1.11/1.32 (define @t166 () (tptp.hAPP tptp.int tptp.int tptp.bit0 @t114)) % 1.11/1.32 (define @t167 () (tptp.hAPP tptp.int tptp.int tptp.bit0 @t115)) % 1.11/1.32 (define @t168 () (tptp.hAPP tptp.int @t55 @t54 @t167)) % 1.11/1.32 (define @t169 () (@var "K" $$unsorted)) % 1.11/1.32 (define @t170 () (@var "J_2" $$unsorted)) % 1.11/1.32 (define @t171 () (@var "I_2" $$unsorted)) % 1.11/1.32 (define @t172 () (@list @t169 @t171 @t170)) % 1.11/1.32 (define @t173 () (@var "V_2" $$unsorted)) % 1.11/1.32 (define @t174 () (tptp.hAPP tptp.int tptp.int @t87 @t173)) % 1.11/1.32 (define @t175 () (tptp.number_number_of tptp.nat @t173)) % 1.11/1.32 (define @t176 () (tptp.number_number_of tptp.nat @t86)) % 1.11/1.32 (define @t177 () (tptp.plus_plus tptp.nat @t176)) % 1.11/1.32 (define @t178 () (tptp.hAPP tptp.nat tptp.nat @t177 @t175)) % 1.11/1.32 (define @t179 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 @t173) tptp.pls))) % 1.11/1.32 (define @t180 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 @t86) tptp.pls))) % 1.11/1.32 (define @t181 () (not @t180)) % 1.11/1.32 (define @t182 () (@list @t173 @t86)) % 1.11/1.32 (define @t183 () (tptp.number_number_of tptp.nat @t65)) % 1.11/1.32 (define @t184 () (= @t61 @t58)) % 1.11/1.32 (define @t185 () (@var "Wa" $$unsorted)) % 1.11/1.32 (define @t186 () (tptp.number_number_of @t1 @t185)) % 1.11/1.32 (define @t187 () (= @t115 @t114)) % 1.11/1.32 (define @t188 () (tptp.hAPP @t1 @t30 @t29 @t73)) % 1.11/1.32 (define @t189 () (tptp.plus_plus @t1 @t73)) % 1.11/1.32 (define @t190 () (tptp.hAPP @t1 @t1 @t189 @t73)) % 1.11/1.32 (define @t191 () (forall @t78 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t190) @t18)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t188 @t18))))) % 1.11/1.32 (define @t192 () (@var "Z3" $$unsorted)) % 1.11/1.32 (define @t193 () (@var "Z2" $$unsorted)) % 1.11/1.32 (define @t194 () (@var "Z1" $$unsorted)) % 1.11/1.32 (define @t195 () (tptp.plus_plus tptp.int @t194)) % 1.11/1.32 (define @t196 () (tptp.plus_plus tptp.int @t96)) % 1.11/1.32 (define @t197 () (tptp.plus_plus tptp.int @t110)) % 1.11/1.32 (define @t198 () (@list @t96 @t110 @t137)) % 1.11/1.32 (define @t199 () (tptp.plus_plus tptp.int @t80)) % 1.11/1.32 (define @t200 () (tptp.hAPP tptp.int tptp.int @t199 @t137)) % 1.11/1.32 (define @t201 () (tptp.plus_plus tptp.int @t137)) % 1.11/1.32 (define @t202 () (@list @t137 @t80)) % 1.11/1.32 (define @t203 () (@var "Ma" $$unsorted)) % 1.11/1.32 (define @t204 () (= @t203 @t146)) % 1.11/1.32 (define @t205 () (tptp.hAPP tptp.nat tptp.int @t49 @t203)) % 1.11/1.32 (define @t206 () (@list @t203 @t146)) % 1.11/1.32 (define @t207 () (@list @t61)) % 1.11/1.32 (define @t208 () (tptp.hAPP @t1 @t30 @t29 @t18)) % 1.11/1.32 (define @t209 () (@list @t58)) % 1.11/1.32 (define @t210 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t116 tptp.pls))) % 1.11/1.32 (define @t211 () (@list @t115)) % 1.11/1.32 (define @t212 () (tptp.hAPP tptp.int @t55 @t54 @t185)) % 1.11/1.32 (define @t213 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t212 @t53))) % 1.11/1.32 (define @t214 () (@list @t185)) % 1.11/1.32 (define @t215 () (@var "Z_2" $$unsorted)) % 1.11/1.32 (define @t216 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t212 @t215))) % 1.11/1.32 (define @t217 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t212 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t215) @t50)))) % 1.11/1.32 (define @t218 () (@list @t185 @t215)) % 1.11/1.32 (define @t219 () (@list @t169)) % 1.11/1.32 (define @t220 () (tptp.hAPP @t1 @t30 @t29 @t2)) % 1.11/1.32 (define @t221 () (tptp.hAPP tptp.int @t55 @t54 @t215)) % 1.11/1.32 (define @t222 () (@list @t215)) % 1.11/1.32 (define @t223 () (tptp.linord219039673up_add @t1)) % 1.11/1.32 (define @t224 () (tptp.hAPP tptp.int tptp.int tptp.bit1 @t169)) % 1.11/1.32 (define @t225 () (@var "L" $$unsorted)) % 1.11/1.32 (define @t226 () (tptp.hAPP tptp.int tptp.int tptp.bit1 @t225)) % 1.11/1.32 (define @t227 () (tptp.hAPP tptp.int tptp.int tptp.bit0 @t225)) % 1.11/1.32 (define @t228 () (@list @t169 @t225)) % 1.11/1.32 (define @t229 () (tptp.hAPP tptp.int tptp.int tptp.bit0 @t169)) % 1.11/1.32 (define @t230 () (tptp.plus_plus tptp.int @t169)) % 1.11/1.32 (define @t231 () (tptp.hAPP tptp.int tptp.int @t230 @t225)) % 1.11/1.32 (define @t232 () (tptp.plus_plus tptp.int @t229)) % 1.11/1.32 (define @t233 () (@list @t137)) % 1.11/1.32 (define @t234 () (tptp.number_number_of @t1 tptp.pls)) % 1.11/1.32 (define @t235 () (= @t234 @t18)) % 1.11/1.32 (define @t236 () (@var "A_1" $$unsorted)) % 1.11/1.32 (define @t237 () (tptp.ti @t1 @t236)) % 1.11/1.32 (define @t238 () (@list @t236)) % 1.11/1.32 (define @t239 () (tptp.plus_plus @t1 @t236)) % 1.11/1.32 (define @t240 () (tptp.number_number_of tptp.nat @t185)) % 1.11/1.32 (define @t241 () (= @t240 @t102)) % 1.11/1.32 (define @t242 () (tptp.zero_neq_one @t1)) % 1.11/1.32 (define @t243 () (and @t37 (tptp.mult_zero @t1) (tptp.no_zero_divisors @t1) @t242)) % 1.11/1.32 (define @t244 () (tptp.number_number_of @t1 @t121)) % 1.11/1.32 (define @t245 () (tptp.hAPP @t1 @t1 @t89 @t81)) % 1.11/1.32 (define @t246 () (tptp.hAPP tptp.int tptp.int tptp.bit1 @t231)) % 1.11/1.32 (define @t247 () (tptp.plus_plus tptp.int @t224)) % 1.11/1.32 (define @t248 () (tptp.hAPP tptp.int tptp.int @t51 @t137)) % 1.11/1.32 (define @t249 () (tptp.hAPP tptp.nat @t1 @t26 @t130)) % 1.11/1.32 (define @t250 () (@list @t130)) % 1.11/1.32 (define @t251 () (not @t75)) % 1.11/1.32 (define @t252 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t77))) % 1.11/1.32 (define @t253 () (= @t252 @t251)) % 1.11/1.32 (define @t254 () (forall @t78 @t253)) % 1.11/1.32 (define @t255 () (=> @t70 @t254)) % 1.11/1.32 (define @t256 () (forall @t4 @t255)) % 1.11/1.32 (define @t257 () (tptp.power_power @t1 @t236)) % 1.11/1.32 (define @t258 () (tptp.hAPP tptp.nat @t1 @t257 @t67)) % 1.11/1.32 (define @t259 () (or (not @t63) (not @t60))) % 1.11/1.32 (define @t260 () (tptp.hAPP tptp.nat @t1 (tptp.power_power @t1 @t110) @t67)) % 1.11/1.32 (define @t261 () (tptp.power_power @t1 @t96)) % 1.11/1.32 (define @t262 () (tptp.hAPP tptp.nat @t1 @t261 @t67)) % 1.11/1.32 (define @t263 () (tptp.hAPP @t1 @t1 (tptp.plus_plus @t1 @t262) @t260)) % 1.11/1.32 (define @t264 () (tptp.plus_plus @t1 @t18)) % 1.11/1.32 (define @t265 () (tptp.number_number_of tptp.int @t66)) % 1.11/1.32 (define @t266 () (tptp.hAPP tptp.int tptp.int tptp.bit1 @t65)) % 1.11/1.32 (define @t267 () (tptp.number_number_of tptp.int @t266)) % 1.11/1.32 (define @t268 () (tptp.zero_zero tptp.real)) % 1.11/1.32 (define @t269 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t109 @t146))) % 1.11/1.32 (define @t270 () (tptp.hAPP tptp.nat @t1 @t26 @t146)) % 1.11/1.32 (define @t271 () (tptp.linordered_semidom @t1)) % 1.11/1.32 (define @t272 () (tptp.hAPP tptp.nat @t1 @t257 @t130)) % 1.11/1.32 (define @t273 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t109 @t130))) % 1.11/1.32 (define @t274 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t220 @t236))) % 1.11/1.32 (define @t275 () (@list @t130 @t236)) % 1.11/1.32 (define @t276 () (tptp.hAPP tptp.nat @t1 @t72 @t130)) % 1.11/1.32 (define @t277 () (= @t130 @t102)) % 1.11/1.32 (define @t278 () (not @t277)) % 1.11/1.32 (define @t279 () (@var "N_2" $$unsorted)) % 1.11/1.32 (define @t280 () (tptp.hAPP tptp.nat @t1 @t257 @t279)) % 1.11/1.32 (define @t281 () (tptp.hAPP @t1 @t30 @t29 @t236)) % 1.11/1.32 (define @t282 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t236))) % 1.11/1.32 (define @t283 () (tptp.hAPP tptp.nat @t108 @t107 @t130)) % 1.11/1.32 (define @t284 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t283 @t279))) % 1.11/1.32 (define @t285 () (@list @t236 @t130 @t279)) % 1.11/1.32 (define @t286 () (@var "I" $$unsorted)) % 1.11/1.32 (define @t287 () (@var "P_1" $$unsorted)) % 1.11/1.32 (define @t288 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t287 @t286))) % 1.11/1.32 (define @t289 () (@var "I_1" $$unsorted)) % 1.11/1.32 (define @t290 () (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t287 @t289)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t287 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t289) @t50))))) % 1.11/1.32 (define @t291 () (@list @t289)) % 1.11/1.32 (define @t292 () (@list @t287 @t115 @t286)) % 1.11/1.32 (define @t293 () (tptp.one_one tptp.real)) % 1.11/1.32 (define @t294 () (tptp.plus_plus tptp.nat @t171)) % 1.11/1.32 (define @t295 () (tptp.hAPP tptp.nat @t108 @t107 (tptp.hAPP tptp.nat tptp.nat @t294 @t170))) % 1.11/1.32 (define @t296 () (@list @t171 @t170)) % 1.11/1.32 (define @t297 () (tptp.plus_plus tptp.nat @t170)) % 1.11/1.32 (define @t298 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 @t146) @t203))) % 1.11/1.32 (define @t299 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 @t203) @t146))) % 1.11/1.32 (define @t300 () (not @t204)) % 1.11/1.32 (define @t301 () (tptp.plus_plus tptp.nat @t130)) % 1.11/1.32 (define @t302 () (tptp.hAPP tptp.nat tptp.nat @t301 @t131)) % 1.11/1.32 (define @t303 () (tptp.plus_plus tptp.nat @t96)) % 1.11/1.32 (define @t304 () (tptp.plus_plus tptp.nat @t110)) % 1.11/1.32 (define @t305 () (tptp.plus_plus tptp.nat @t115)) % 1.11/1.32 (define @t306 () (tptp.hAPP tptp.nat tptp.nat @t305 @t146)) % 1.11/1.32 (define @t307 () (tptp.hAPP tptp.nat tptp.nat @t305 @t203)) % 1.11/1.32 (define @t308 () (@list @t115 @t203 @t146)) % 1.11/1.32 (define @t309 () (tptp.plus_plus tptp.nat @t203)) % 1.11/1.32 (define @t310 () (tptp.hAPP tptp.nat tptp.nat @t309 @t115)) % 1.11/1.32 (define @t311 () (= @t131 @t130)) % 1.11/1.32 (define @t312 () (not @t311)) % 1.11/1.32 (define @t313 () (@list @t130 @t131)) % 1.11/1.32 (define @t314 () (@var "T_3" $$unsorted)) % 1.11/1.32 (define @t315 () (@var "S" $$unsorted)) % 1.11/1.32 (define @t316 () (tptp.hAPP tptp.nat tptp.nat @t297 @t131)) % 1.11/1.32 (define @t317 () (tptp.hAPP tptp.nat @t108 @t107 @t171)) % 1.11/1.32 (define @t318 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t317 @t170))) % 1.11/1.32 (define @t319 () (@list @t131 @t171 @t170)) % 1.11/1.32 (define @t320 () (tptp.hAPP tptp.nat tptp.nat @t138 @t170)) % 1.11/1.32 (define @t321 () (tptp.hAPP tptp.nat tptp.nat @t297 @t169)) % 1.11/1.32 (define @t322 () (tptp.hAPP tptp.nat tptp.nat @t294 @t169)) % 1.11/1.32 (define @t323 () (tptp.hAPP tptp.nat @t108 @t107 @t322)) % 1.11/1.32 (define @t324 () (tptp.hAPP tptp.nat tptp.nat @t297 @t225)) % 1.11/1.32 (define @t325 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 @t169) @t225))) % 1.11/1.32 (define @t326 () (@list @t169 @t225 @t171 @t170)) % 1.11/1.32 (define @t327 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 @t131) @t130))) % 1.11/1.32 (define @t328 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t287 @t146) @t203))) % 1.11/1.32 (define @t329 () (tptp.power_power tptp.nat @t171)) % 1.11/1.32 (define @t330 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t109 @t61))) % 1.11/1.32 (define @t331 () (tptp.power_power tptp.nat @t61)) % 1.11/1.32 (define @t332 () (tptp.hAPP tptp.nat tptp.nat @t331 @t146)) % 1.11/1.32 (define @t333 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t109 @t332))) % 1.11/1.32 (define @t334 () (@list @t61 @t146)) % 1.11/1.32 (define @t335 () (tptp.hAPP tptp.nat tptp.nat @t309 @t146)) % 1.11/1.32 (define @t336 () (not @t147)) % 1.11/1.32 (define @t337 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 @t61) @t58))) % 1.11/1.32 (define @t338 () (tptp.hAPP tptp.nat tptp.int @t49 @t58)) % 1.11/1.32 (define @t339 () (tptp.hAPP tptp.nat tptp.int @t49 @t61)) % 1.11/1.32 (define @t340 () (@var "V" $$unsorted)) % 1.11/1.32 (define @t341 () (@var "Va" $$unsorted)) % 1.11/1.32 (define @t342 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 @t341) @t340))) % 1.11/1.32 (define @t343 () (tptp.number_number_of tptp.nat @t340)) % 1.11/1.32 (define @t344 () (tptp.number_number_of tptp.nat @t341)) % 1.11/1.32 (define @t345 () (@list @t341 @t340)) % 1.11/1.32 (define @t346 () (tptp.hAPP @t1 @t30 @t29 @t110)) % 1.11/1.32 (define @t347 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t346 @t96))) % 1.11/1.32 (define @t348 () (tptp.hAPP @t1 @t30 @t29 @t96)) % 1.11/1.32 (define @t349 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t348 @t110))) % 1.11/1.32 (define @t350 () (not @t349)) % 1.11/1.32 (define @t351 () (tptp.ti @t1 @t110)) % 1.11/1.32 (define @t352 () (tptp.ti @t1 @t96)) % 1.11/1.32 (define @t353 () (= @t352 @t351)) % 1.11/1.32 (define @t354 () (not @t353)) % 1.11/1.32 (define @t355 () (forall @t113 (=> @t354 (=> @t350 @t347)))) % 1.11/1.32 (define @t356 () (= @t203 @t102)) % 1.11/1.32 (define @t357 () (@list @t131)) % 1.11/1.32 (define @t358 () (tptp.monoid_mult @t1)) % 1.11/1.32 (define @t359 () (tptp.hAPP tptp.nat @t1 @t26 @t203)) % 1.11/1.32 (define @t360 () (tptp.fun tptp.nat tptp.nat)) % 1.11/1.32 (define @t361 () (tptp.hAPP tptp.nat tptp.int @t49 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat @t360 (tptp.hAPP tptp.bool (tptp.fun tptp.nat @t360) (tptp.if tptp.nat) @t287) @t61) @t58))) % 1.11/1.32 (define @t362 () (tptp.hBOOL @t287)) % 1.11/1.32 (define @t363 () (@list @t341)) % 1.11/1.32 (define @t364 () (not (= @t272 @t18))) % 1.11/1.32 (define @t365 () (not (= @t237 @t18))) % 1.11/1.32 (define @t366 () (=> @t365 @t364)) % 1.11/1.32 (define @t367 () (forall @t275 @t366)) % 1.11/1.32 (define @t368 () (=> @t79 @t367)) % 1.11/1.32 (define @t369 () (forall @t4 @t368)) % 1.11/1.32 (define @t370 () (tptp.hAPP tptp.nat @t1 @t26 @t131)) % 1.11/1.32 (define @t371 () (tptp.hAPP @t1 @t30 @t29 @t370)) % 1.11/1.32 (define @t372 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t371 @t249))) % 1.11/1.32 (define @t373 () (tptp.hAPP tptp.nat tptp.int @t49 @t96)) % 1.11/1.32 (define @t374 () (@var "C_1" $$unsorted)) % 1.11/1.32 (define @t375 () (tptp.hAPP @t1 @t1 @t239 @t374)) % 1.11/1.32 (define @t376 () (@var "B" $$unsorted)) % 1.11/1.32 (define @t377 () (tptp.hAPP @t1 @t30 @t29 @t376)) % 1.11/1.32 (define @t378 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t377 @t375))) % 1.11/1.32 (define @t379 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t377 @t374))) % 1.11/1.32 (define @t380 () (=> @t379 @t378)) % 1.11/1.32 (define @t381 () (@list @t376 @t374 @t236)) % 1.11/1.32 (define @t382 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t272))) % 1.11/1.32 (define @t383 () (forall @t275 (=> @t282 @t382))) % 1.11/1.32 (define @t384 () (=> @t271 @t383)) % 1.11/1.32 (define @t385 () (forall @t4 @t384)) % 1.11/1.32 (define @t386 () (tptp.hAPP tptp.nat @t1 @t76 @t146)) % 1.11/1.32 (define @t387 () (@var "B_1" $$unsorted)) % 1.11/1.32 (define @t388 () (tptp.power_power @t1 @t387)) % 1.11/1.32 (define @t389 () (tptp.hAPP tptp.nat @t1 @t388 @t58)) % 1.11/1.32 (define @t390 () (tptp.hAPP tptp.nat @t1 @t388 @t61)) % 1.11/1.32 (define @t391 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t220 @t387))) % 1.11/1.32 (define @t392 () (@list @t61 @t58 @t387)) % 1.11/1.32 (define @t393 () (tptp.hAPP tptp.nat @t1 @t257 @t131)) % 1.11/1.32 (define @t394 () (@list @t131 @t130 @t236)) % 1.11/1.32 (define @t395 () (tptp.hAPP @t1 @t30 @t29 @t272)) % 1.11/1.32 (define @t396 () (@var "N_1" $$unsorted)) % 1.11/1.32 (define @t397 () (tptp.hAPP tptp.nat tptp.int @t49 @t396)) % 1.11/1.32 (define @t398 () (= @t169 @t397)) % 1.11/1.32 (define @t399 () (@list @t396)) % 1.11/1.32 (define @t400 () (@var "K_1" $$unsorted)) % 1.11/1.32 (define @t401 () (@list @t400)) % 1.11/1.32 (define @t402 () (tptp.comm_semiring_1 @t1)) % 1.11/1.32 (define @t403 () (tptp.ti @t1 @t376)) % 1.11/1.32 (define @t404 () (= @t403 (tptp.ti @t1 @t374))) % 1.11/1.32 (define @t405 () (tptp.plus_plus @t1 @t374)) % 1.11/1.32 (define @t406 () (tptp.hAPP @t1 @t1 @t405 @t236)) % 1.11/1.32 (define @t407 () (tptp.plus_plus @t1 @t376)) % 1.11/1.32 (define @t408 () (@list @t376 @t236 @t374)) % 1.11/1.32 (define @t409 () (tptp.hAPP @t1 @t1 @t239 @t376)) % 1.11/1.32 (define @t410 () (@list @t236 @t376 @t374)) % 1.11/1.32 (define @t411 () (forall @t410 (=> (= @t409 @t375) @t404))) % 1.11/1.32 (define @t412 () (@var "D" $$unsorted)) % 1.11/1.32 (define @t413 () (tptp.hAPP @t1 @t1 @t407 @t412)) % 1.11/1.32 (define @t414 () (tptp.plus_plus @t1 @t375)) % 1.11/1.32 (define @t415 () (tptp.hAPP @t1 @t1 @t405 @t412)) % 1.11/1.32 (define @t416 () (tptp.plus_plus @t1 @t409)) % 1.11/1.32 (define @t417 () (@var "C" $$unsorted)) % 1.11/1.32 (define @t418 () (tptp.ti @t1 @t387)) % 1.11/1.32 (define @t419 () (= @t418 (tptp.ti @t1 @t417))) % 1.11/1.32 (define @t420 () (tptp.plus_plus @t1 @t417)) % 1.11/1.32 (define @t421 () (tptp.hAPP @t1 @t1 @t420 @t73)) % 1.11/1.32 (define @t422 () (tptp.plus_plus @t1 @t387)) % 1.11/1.32 (define @t423 () (tptp.hAPP @t1 @t1 @t422 @t73)) % 1.11/1.32 (define @t424 () (tptp.hAPP @t1 @t1 @t189 @t417)) % 1.11/1.32 (define @t425 () (@list @t73 @t387 @t417)) % 1.11/1.32 (define @t426 () (tptp.hAPP @t1 @t1 @t416 @t374)) % 1.11/1.32 (define @t427 () (tptp.hAPP @t1 @t1 @t407 @t374)) % 1.11/1.32 (define @t428 () (forall @t410 (= @t426 (tptp.hAPP @t1 @t1 @t239 @t427)))) % 1.11/1.32 (define @t429 () (tptp.hAPP @t1 @t1 @t239 @t415)) % 1.11/1.32 (define @t430 () (@list @t236 @t374 @t412)) % 1.11/1.32 (define @t431 () (forall @t238 (= (tptp.hAPP @t1 @t1 @t239 @t18) @t237))) % 1.11/1.32 (define @t432 () (tptp.comm_monoid_add @t1)) % 1.11/1.32 (define @t433 () (forall @t238 (= (tptp.hAPP @t1 @t1 @t264 @t236) @t237))) % 1.11/1.32 (define @t434 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t281 @t376))) % 1.11/1.32 (define @t435 () (tptp.hAPP @t1 @t1 @t405 @t376)) % 1.11/1.32 (define @t436 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t406) @t435))) % 1.11/1.32 (define @t437 () (@list @t374 @t236 @t376)) % 1.11/1.32 (define @t438 () (tptp.ordere236663937imp_le @t1)) % 1.11/1.32 (define @t439 () (tptp.hAPP @t1 @t30 @t29 @t375)) % 1.11/1.32 (define @t440 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t439 @t427))) % 1.11/1.32 (define @t441 () (@list @t236 @t374 @t376)) % 1.11/1.32 (define @t442 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t439 @t413))) % 1.11/1.32 (define @t443 () (tptp.hAPP @t1 @t30 @t29 @t374)) % 1.11/1.32 (define @t444 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t443 @t412))) % 1.11/1.32 (define @t445 () (=> @t444 @t442)) % 1.11/1.32 (define @t446 () (@list @t374 @t412 @t236 @t376)) % 1.11/1.32 (define @t447 () (tptp.ordere223160158up_add @t1)) % 1.11/1.32 (define @t448 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t188 @t387))) % 1.11/1.32 (define @t449 () (tptp.hAPP @t1 @t1 @t420 @t387)) % 1.11/1.32 (define @t450 () (@list @t417 @t73 @t387)) % 1.11/1.32 (define @t451 () (tptp.hAPP @t1 @t1 @t422 @t417)) % 1.11/1.32 (define @t452 () (@list @t73 @t417 @t387)) % 1.11/1.32 (define @t453 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t409) @t18))) % 1.11/1.32 (define @t454 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t377 @t18))) % 1.11/1.32 (define @t455 () (=> @t454 @t453)) % 1.11/1.32 (define @t456 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t281 @t18))) % 1.11/1.32 (define @t457 () (@list @t376 @t236)) % 1.11/1.32 (define @t458 () (tptp.ordere216010020id_add @t1)) % 1.11/1.32 (define @t459 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t409))) % 1.11/1.32 (define @t460 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t376))) % 1.11/1.32 (define @t461 () (=> @t460 @t459)) % 1.11/1.32 (define @t462 () (@var "X_1" $$unsorted)) % 1.11/1.32 (define @t463 () (@var "Y_1" $$unsorted)) % 1.11/1.32 (define @t464 () (tptp.ord_less tptp.real)) % 1.11/1.32 (define @t465 () (tptp.fun tptp.real tptp.bool)) % 1.11/1.32 (define @t466 () (tptp.hAPP tptp.real @t465 @t464 @t268)) % 1.11/1.32 (define @t467 () (@list @t462)) % 1.11/1.32 (define @t468 () (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t466 @t236))) % 1.11/1.32 (define @t469 () (@list @t236 @t130)) % 1.11/1.32 (define @t470 () (@var "R" $$unsorted)) % 1.11/1.32 (define @t471 () (tptp.ord_less_eq tptp.int)) % 1.11/1.32 (define @t472 () (tptp.hAPP tptp.int @t55 @t471 @t50)) % 1.11/1.32 (define @t473 () (tptp.hAPP tptp.int tptp.int tptp.succ @t86)) % 1.11/1.32 (define @t474 () (tptp.number_number_of tptp.nat @t473)) % 1.11/1.32 (define @t475 () (tptp.hAPP tptp.nat tptp.nat @t177 @t143)) % 1.11/1.32 (define @t476 () (tptp.hAPP tptp.nat tptp.nat @t151 @t176)) % 1.11/1.32 (define @t477 () (tptp.ord_less_eq @t1)) % 1.11/1.32 (define @t478 () (tptp.hAPP @t1 @t30 @t477 @t73)) % 1.11/1.32 (define @t479 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t478 @t387))) % 1.11/1.32 (define @t480 () (tptp.hAPP @t1 @t30 @t477 @t375)) % 1.11/1.32 (define @t481 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t480 @t427))) % 1.11/1.32 (define @t482 () (tptp.hAPP @t1 @t30 @t477 @t236)) % 1.11/1.32 (define @t483 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t482 @t376))) % 1.11/1.32 (define @t484 () (tptp.ordere779506340up_add @t1)) % 1.11/1.32 (define @t485 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t406) @t435))) % 1.11/1.32 (define @t486 () (tptp.hAPP @t1 @t30 @t477 @t374)) % 1.11/1.32 (define @t487 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t486 @t412))) % 1.11/1.32 (define @t488 () (tptp.hAPP @t1 @t30 @t477 @t272)) % 1.11/1.32 (define @t489 () (tptp.hAPP @t1 @t30 @t477 @t2)) % 1.11/1.32 (define @t490 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t489 @t236))) % 1.11/1.32 (define @t491 () (tptp.ord_less_eq tptp.nat)) % 1.11/1.32 (define @t492 () (tptp.hAPP tptp.nat @t108 @t491 @t130)) % 1.11/1.32 (define @t493 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t492 @t279))) % 1.11/1.32 (define @t494 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t471 @t153) @t152))) % 1.11/1.32 (define @t495 () (tptp.hAPP tptp.int @t55 @t471 @t156)) % 1.11/1.32 (define @t496 () (tptp.hAPP tptp.int @t55 @t471 @t115)) % 1.11/1.32 (define @t497 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t496 @t114))) % 1.11/1.32 (define @t498 () (tptp.hAPP tptp.int @t55 @t471 @t160)) % 1.11/1.32 (define @t499 () (tptp.hAPP tptp.int @t55 @t471 tptp.pls)) % 1.11/1.32 (define @t500 () (tptp.hAPP tptp.int @t55 @t471 @t164)) % 1.11/1.32 (define @t501 () (tptp.hAPP tptp.int @t55 @t471 @t167)) % 1.11/1.32 (define @t502 () (tptp.hAPP tptp.int @t55 @t471 @t53)) % 1.11/1.32 (define @t503 () (tptp.hAPP tptp.int @t55 @t471 @t80)) % 1.11/1.32 (define @t504 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t503 @t137))) % 1.11/1.32 (define @t505 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t471 @t137) @t80))) % 1.11/1.32 (define @t506 () (tptp.hAPP tptp.int @t55 @t471 @t171)) % 1.11/1.32 (define @t507 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t506 @t170))) % 1.11/1.32 (define @t508 () (= @t137 @t80)) % 1.11/1.32 (define @t509 () (tptp.hAPP tptp.int @t55 @t471 @t61)) % 1.11/1.32 (define @t510 () (tptp.hAPP @t1 @t30 @t477 @t126)) % 1.11/1.32 (define @t511 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t491 @t203) @t146))) % 1.11/1.32 (define @t512 () (tptp.hAPP @t1 @t30 @t477 @t18)) % 1.11/1.32 (define @t513 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t236))) % 1.11/1.32 (define @t514 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t491 @t61) @t58))) % 1.11/1.32 (define @t515 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t491 @t131) @t130))) % 1.11/1.32 (define @t516 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t376))) % 1.11/1.32 (define @t517 () (@list @t58 @t61)) % 1.11/1.32 (define @t518 () (tptp.hAPP @t1 @t30 @t477 @t376)) % 1.11/1.32 (define @t519 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t518 @t375))) % 1.11/1.32 (define @t520 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t518 @t374))) % 1.11/1.32 (define @t521 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t518 @t236))) % 1.11/1.32 (define @t522 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t374))) % 1.11/1.32 (define @t523 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t518 @t18))) % 1.11/1.32 (define @t524 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t482 @t18))) % 1.11/1.32 (define @t525 () (tptp.number_number_of @t1 @t341)) % 1.11/1.32 (define @t526 () (tptp.linorder @t1)) % 1.11/1.32 (define @t527 () (tptp.hAPP tptp.nat @t1 (tptp.power_power @t1 @t376) @t130)) % 1.11/1.32 (define @t528 () (@list @t130 @t236 @t376)) % 1.11/1.32 (define @t529 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t499 @t115))) % 1.11/1.32 (define @t530 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 @t96))) % 1.11/1.32 (define @t531 () (@list @t110 @t96)) % 1.11/1.32 (define @t532 () (@var "Z_3" $$unsorted)) % 1.11/1.32 (define @t533 () (@var "W_2" $$unsorted)) % 1.11/1.32 (define @t534 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t287 (tptp.hAPP tptp.nat tptp.int @t49 @t462)))) % 1.11/1.32 (define @t535 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t287 @t462))) % 1.11/1.32 (define @t536 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 @t462))) % 1.11/1.32 (define @t537 () (@list @t287)) % 1.11/1.32 (define @t538 () (tptp.plus_plus tptp.int @t185)) % 1.11/1.32 (define @t539 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t471 @t185) @t215))) % 1.11/1.32 (define @t540 () (tptp.number_number_of @t1 @t473)) % 1.11/1.32 (define @t541 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t499 @t86))) % 1.11/1.32 (define @t542 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t395 @t527))) % 1.11/1.32 (define @t543 () (@list @t236 @t130 @t376)) % 1.11/1.32 (define @t544 () (tptp.hAPP tptp.int @t55 @t471 @t341)) % 1.11/1.32 (define @t545 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t544 tptp.pls))) % 1.11/1.32 (define @t546 () (tptp.hAPP tptp.int tptp.int tptp.succ @t169)) % 1.11/1.32 (define @t547 () (= @t237 @t403)) % 1.11/1.32 (define @t548 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 @t137))) % 1.11/1.32 (define @t549 () (tptp.hAPP @t1 @t30 @t477 @t96)) % 1.11/1.32 (define @t550 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t549 @t110))) % 1.11/1.32 (define @t551 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t110))) % 1.11/1.32 (define @t552 () (tptp.hAPP tptp.nat @t1 @t26 @t176)) % 1.11/1.32 (define @t553 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 @t122))) % 1.11/1.32 (define @t554 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 @t169))) % 1.11/1.32 (define @t555 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t492 @t131))) % 1.11/1.32 (define @t556 () (tptp.hAPP tptp.nat @t108 @t491 @t171)) % 1.11/1.32 (define @t557 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t556 @t170))) % 1.11/1.32 (define @t558 () (tptp.hAPP tptp.real @t465 @t464 @t61)) % 1.11/1.32 (define @t559 () (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t558 @t58))) % 1.11/1.32 (define @t560 () (tptp.ord_less_eq tptp.real)) % 1.11/1.32 (define @t561 () (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t465 @t560 @t61) @t58))) % 1.11/1.32 (define @t562 () (tptp.hAPP tptp.nat @t108 @t491 @t322)) % 1.11/1.32 (define @t563 () (tptp.hAPP tptp.nat @t108 @t491 @t169)) % 1.11/1.32 (define @t564 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t563 @t130))) % 1.11/1.32 (define @t565 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t491 (tptp.hAPP tptp.nat tptp.nat @t138 @t169)) @t130))) % 1.11/1.32 (define @t566 () (@list @t131 @t169 @t130)) % 1.11/1.32 (define @t567 () (tptp.plus_plus tptp.real @t137)) % 1.11/1.32 (define @t568 () (@list @t137 @t96 @t110)) % 1.11/1.32 (define @t569 () (@var "P_2" $$unsorted)) % 1.11/1.32 (define @t570 () (tptp.hBOOL @t569)) % 1.11/1.32 (define @t571 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 @t61))) % 1.11/1.32 (define @t572 () (=> @t571 (= @t362 @t570))) % 1.11/1.32 (define @t573 () (@list @t569 @t287 @t61)) % 1.11/1.32 (define @t574 () (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t287 @t289)))) % 1.11/1.32 (define @t575 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t287 @t146))) % 1.11/1.32 (define @t576 () (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t287 @t102)))) % 1.11/1.32 (define @t577 () (@list @t146 @t287)) % 1.11/1.32 (define @t578 () (@var "M" $$unsorted)) % 1.11/1.32 (define @t579 () (@var "F" $$unsorted)) % 1.11/1.32 (define @t580 () (tptp.hAPP tptp.real @t465 @t560 @t80)) % 1.11/1.32 (define @t581 () (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t580 @t137))) % 1.11/1.32 (define @t582 () (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t465 @t560 @t137) @t80))) % 1.11/1.32 (define @t583 () (tptp.hAPP tptp.real @t465 @t560 @t171)) % 1.11/1.32 (define @t584 () (tptp.hAPP tptp.nat @t108 @t107 @t289)) % 1.11/1.32 (define @t585 () (@var "J" $$unsorted)) % 1.11/1.32 (define @t586 () (@var "J_1" $$unsorted)) % 1.11/1.32 (define @t587 () (tptp.preorder @t1)) % 1.11/1.32 (define @t588 () (tptp.hAPP @t1 @t30 @t477 @t110)) % 1.11/1.32 (define @t589 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t588 @t96))) % 1.11/1.32 (define @t590 () (@var "G" $$unsorted)) % 1.11/1.32 (define @t591 () (tptp.ord_less_eq @t40)) % 1.11/1.32 (define @t592 () (tptp.fun @t40 tptp.bool)) % 1.11/1.32 (define @t593 () (tptp.hBOOL (tptp.hAPP @t40 tptp.bool (tptp.hAPP @t40 @t592 @t591 @t579) @t590))) % 1.11/1.32 (define @t594 () (@list @t1 @t32)) % 1.11/1.32 (define @t595 () (tptp.hAPP @t1 @t30 @t477 @t137)) % 1.11/1.32 (define @t596 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t595 @t110))) % 1.11/1.32 (define @t597 () (@list @t137 @t110 @t96)) % 1.11/1.32 (define @t598 () (tptp.order @t1)) % 1.11/1.32 (define @t599 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t588 @t137))) % 1.11/1.32 (define @t600 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t486 @t236))) % 1.11/1.32 (define @t601 () (@list @t374 @t376 @t236)) % 1.11/1.32 (define @t602 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t482 @t374))) % 1.11/1.32 (define @t603 () (= @t376 @t374)) % 1.11/1.32 (define @t604 () (= @t236 @t376)) % 1.11/1.32 (define @t605 () (= @t62 @t59)) % 1.11/1.32 (define @t606 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t61) @t58))) % 1.11/1.32 (define @t607 () (= @t606 @t605)) % 1.11/1.32 (define @t608 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t58) @t61))) % 1.11/1.32 (define @t609 () (tptp.hAPP @t1 @t32 @t579 @t462)) % 1.11/1.32 (define @t610 () (tptp.hAPP @t32 @t34 @t33 @t609)) % 1.11/1.32 (define @t611 () (forall @t467 (tptp.hBOOL (tptp.hAPP @t32 tptp.bool @t610 (tptp.hAPP @t1 @t32 @t590 @t462))))) % 1.11/1.32 (define @t612 () (@list @t579 @t590)) % 1.11/1.32 (define @t613 () (tptp.hAPP @t1 @t30 @t29 @t137)) % 1.11/1.32 (define @t614 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t613 @t96))) % 1.11/1.32 (define @t615 () (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t613 @t110)) @t614)) % 1.11/1.32 (define @t616 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t348 @t137))) % 1.11/1.32 (define @t617 () (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t346 @t137)) @t616)) % 1.11/1.32 (define @t618 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t443 @t236))) % 1.11/1.32 (define @t619 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t377 @t236))) % 1.11/1.32 (define @t620 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t281 @t374))) % 1.11/1.32 (define @t621 () (@list @t236 @t376)) % 1.11/1.32 (define @t622 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t58) @t61))) % 1.11/1.32 (define @t623 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t61) @t58))) % 1.11/1.32 (define @t624 () (not @t623)) % 1.11/1.32 (define @t625 () (= @t624 @t605)) % 1.11/1.32 (define @t626 () (not @t605)) % 1.11/1.32 (define @t627 () (not @t547)) % 1.11/1.32 (define @t628 () (@var "D2" $$unsorted)) % 1.11/1.32 (define @t629 () (@var "E" $$unsorted)) % 1.11/1.32 (define @t630 () (tptp.hAPP tptp.real @t465 @t464 @t629)) % 1.11/1.32 (define @t631 () (@var "D1" $$unsorted)) % 1.11/1.32 (define @t632 () (tptp.hAPP @t1 @t30 @t477 @t462)) % 1.11/1.32 (define @t633 () (tptp.hAPP @t1 @t30 @t29 @t462)) % 1.11/1.32 (define @t634 () (tptp.dense_linorder @t1)) % 1.11/1.32 (define @t635 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t632 @t314))) % 1.11/1.32 (define @t636 () (@var "Z" $$unsorted)) % 1.11/1.32 (define @t637 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t636) @t462))) % 1.11/1.32 (define @t638 () (@list @t636)) % 1.11/1.32 (define @t639 () (@list @t314)) % 1.11/1.32 (define @t640 () (@var "W" $$unsorted)) % 1.11/1.32 (define @t641 () (tptp.hAPP @t1 @t32 @t579 @t73)) % 1.11/1.32 (define @t642 () (tptp.ord_less @t32)) % 1.11/1.32 (define @t643 () (tptp.hAPP @t32 @t34 @t642 @t417)) % 1.11/1.32 (define @t644 () (tptp.hBOOL (tptp.hAPP @t32 tptp.bool @t643 @t641))) % 1.11/1.32 (define @t645 () (tptp.hAPP @t1 @t32 @t579 @t463)) % 1.11/1.32 (define @t646 () (@list @t462 @t463)) % 1.11/1.32 (define @t647 () (tptp.hAPP @t1 @t32 @t579 @t387)) % 1.11/1.32 (define @t648 () (tptp.hAPP @t32 @t34 @t33 @t417)) % 1.11/1.32 (define @t649 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t387) @t73))) % 1.11/1.32 (define @t650 () (@list @t417 @t579 @t387 @t73)) % 1.11/1.32 (define @t651 () (tptp.order @t32)) % 1.11/1.32 (define @t652 () (and @t598 @t651)) % 1.11/1.32 (define @t653 () (@list @t32 @t1)) % 1.11/1.32 (define @t654 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t633 @t636))) % 1.11/1.32 (define @t655 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t314) @t462))) % 1.11/1.32 (define @t656 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t387) @t73))) % 1.11/1.32 (define @t657 () (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t32 @t34 @t642 @t641) @t417))) % 1.11/1.32 (define @t658 () (@list @t579 @t417 @t73 @t387)) % 1.11/1.32 (define @t659 () (and @t651 @t598)) % 1.11/1.32 (define @t660 () (tptp.hAPP @t32 @t1 @t579 @t417)) % 1.11/1.32 (define @t661 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t660) @t73))) % 1.11/1.32 (define @t662 () (tptp.hAPP @t32 @t1 @t579 @t462)) % 1.11/1.32 (define @t663 () (tptp.hAPP @t32 @t1 @t579 @t463)) % 1.11/1.32 (define @t664 () (tptp.hAPP @t32 @t1 @t579 @t387)) % 1.11/1.32 (define @t665 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t188 @t660))) % 1.11/1.32 (define @t666 () (@list @t417 @t73 @t579 @t387)) % 1.11/1.32 (define @t667 () (tptp.times_times tptp.int)) % 1.11/1.32 (define @t668 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t374))) % 1.11/1.32 (define @t669 () (=> @t668 @t483)) % 1.11/1.32 (define @t670 () (tptp.hAPP @t1 @t11 @t15 @t374)) % 1.11/1.32 (define @t671 () (tptp.hAPP @t1 @t1 @t670 @t376)) % 1.11/1.32 (define @t672 () (tptp.hAPP @t1 @t1 @t670 @t236)) % 1.11/1.32 (define @t673 () (tptp.linord20386208strict @t1)) % 1.11/1.32 (define @t674 () (tptp.hAPP @t1 @t11 @t15 @t376)) % 1.11/1.32 (define @t675 () (tptp.hAPP @t1 @t1 @t674 @t374)) % 1.11/1.32 (define @t676 () (tptp.hAPP @t1 @t11 @t15 @t236)) % 1.11/1.32 (define @t677 () (tptp.hAPP @t1 @t1 @t676 @t374)) % 1.11/1.32 (define @t678 () (=> @t522 @t434)) % 1.11/1.32 (define @t679 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t672) @t671))) % 1.11/1.32 (define @t680 () (forall @t437 (=> @t679 @t678))) % 1.11/1.32 (define @t681 () (tptp.hAPP @t1 @t30 @t29 @t677)) % 1.11/1.32 (define @t682 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t681 @t675))) % 1.11/1.32 (define @t683 () (forall @t441 (=> @t682 @t678))) % 1.11/1.32 (define @t684 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t681 (tptp.hAPP @t1 @t1 @t674 @t412)))) % 1.11/1.32 (define @t685 () (=> @t522 @t684)) % 1.11/1.32 (define @t686 () (tptp.hAPP @t1 @t11 @t15 @t417)) % 1.11/1.32 (define @t687 () (tptp.hAPP @t1 @t1 @t686 @t387)) % 1.11/1.32 (define @t688 () (tptp.hAPP @t1 @t1 @t686 @t73)) % 1.11/1.32 (define @t689 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t688) @t687))) % 1.11/1.32 (define @t690 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t417) @t18))) % 1.11/1.32 (define @t691 () (tptp.linord581940658strict @t1)) % 1.11/1.32 (define @t692 () (tptp.hAPP @t1 @t1 @t676 @t272)) % 1.11/1.32 (define @t693 () (tptp.hAPP tptp.real tptp.real tptp.sqrt @t96)) % 1.11/1.32 (define @t694 () (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t466 @t96))) % 1.11/1.32 (define @t695 () (tptp.hAPP tptp.real @t465 @t464 (tptp.hAPP tptp.real tptp.real tptp.sqrt @t61))) % 1.11/1.32 (define @t696 () (tptp.hAPP tptp.real tptp.real tptp.sqrt @t58)) % 1.11/1.32 (define @t697 () (tptp.hAPP tptp.real @t465 @t464 @t293)) % 1.11/1.32 (define @t698 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t443 @t18))) % 1.11/1.32 (define @t699 () (forall @t437 (=> @t434 (=> @t668 @t679)))) % 1.11/1.32 (define @t700 () (tptp.hAPP @t1 @t1 @t676 @t376)) % 1.11/1.32 (define @t701 () (@var "T_1" $$unsorted)) % 1.11/1.32 (define @t702 () (@var "T_2" $$unsorted)) % 1.11/1.32 (define @t703 () (tptp.fun @t702 @t701)) % 1.11/1.32 (define @t704 () (@list @t702 @t701)) % 1.11/1.32 (define @t705 () (tptp.ring_11004092258visors tptp.int)) % 1.11/1.32 (define @t706 () (tptp.linordered_semidom tptp.int)) % 1.11/1.32 (define @t707 () (tptp.linordered_idom tptp.int)) % 1.11/1.32 (define @t708 () (@var "A" $$unsorted)) % 1.11/1.32 (define @t709 () (@var "T" $$unsorted)) % 1.11/1.32 (define @t710 () (tptp.ti @t709 @t708)) % 1.11/1.32 (define @t711 () (@list @t1 @t96 @t110)) % 1.11/1.32 (define @t712 () (@var "P" $$unsorted)) % 1.11/1.32 (define @t713 () (tptp.ti tptp.bool @t712)) % 1.11/1.32 (define @t714 () (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int @t52) @t67)) % 1.11/1.32 (define @t715 () (= @t714 @t53)) % 1.11/1.32 (define @t716 () (@var "BOUND_VARIABLE_12948" $$unsorted)) % 1.11/1.32 (define @t717 () (@var "BOUND_VARIABLE_12950" $$unsorted)) % 1.11/1.32 (define @t718 () (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 (tptp.hAPP tptp.nat @t1 (tptp.power_power @t1 @t717) @t716)))) % 1.11/1.32 (define @t719 () (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t717)))) % 1.11/1.32 (define @t720 () (not @t271)) % 1.11/1.32 (define @t721 () (or @t719 @t718)) % 1.11/1.32 (define @t722 () (or @t720 @t721)) % 1.11/1.32 (define @t723 () (forall (@list @t1 @t716 @t717) @t722)) % 1.11/1.32 (define @t724 () (@list @t716 @t717)) % 1.11/1.32 (define @t725 () (forall @t724 @t722)) % 1.11/1.32 (define @t726 () (forall @t724 @t721)) % 1.11/1.32 (define @t727 () (@list @t130 @t236)) % 1.11/1.32 (define @t728 () (or @t720 @t726)) % 1.11/1.32 (define @t729 () (forall @t275 (or (not @t282) @t382))) % 1.11/1.32 (define @t730 () (@list tptp.int @t67 @t52)) % 1.11/1.32 (define @t731 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t56 @t714))) % 1.11/1.32 (define @t732 () (not @t57)) % 1.11/1.32 (define @t733 () (not @t706)) % 1.11/1.32 (define @t734 () (or @t733 @t732 @t731)) % 1.11/1.32 (define @t735 () (@list false false false)) % 1.11/1.32 (define @t736 () (@var "BOUND_VARIABLE_12175" $$unsorted)) % 1.11/1.32 (define @t737 () (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 (tptp.hAPP tptp.nat @t1 (tptp.power_power @t1 @t736) @t67))) (not (= @t18 (tptp.ti @t1 @t736))))) % 1.11/1.32 (define @t738 () (not @t70)) % 1.11/1.32 (define @t739 () (or @t738 @t737)) % 1.11/1.32 (define @t740 () (@list @t736)) % 1.11/1.32 (define @t741 () (forall @t740 @t739)) % 1.11/1.32 (define @t742 () (forall @t740 @t737)) % 1.11/1.32 (define @t743 () (or @t738 @t742)) % 1.11/1.32 (define @t744 () (forall @t78 (= @t252 (not (= @t18 @t74))))) % 1.11/1.32 (define @t745 () (= @t53 (tptp.ti tptp.int @t52))) % 1.11/1.32 (define @t746 () (not @t745)) % 1.11/1.32 (define @t747 () (= @t731 @t746)) % 1.11/1.32 (define @t748 () (not @t707)) % 1.11/1.32 (define @t749 () (or @t748 @t747)) % 1.11/1.32 (define @t750 () (@var "BOUND_VARIABLE_12756" $$unsorted)) % 1.11/1.32 (define @t751 () (@var "BOUND_VARIABLE_12758" $$unsorted)) % 1.11/1.32 (define @t752 () (not (= @t18 (tptp.hAPP tptp.nat @t1 (tptp.power_power @t1 @t751) @t750)))) % 1.11/1.32 (define @t753 () (= @t18 (tptp.ti @t1 @t751))) % 1.11/1.32 (define @t754 () (not @t79)) % 1.11/1.32 (define @t755 () (or @t753 @t752)) % 1.11/1.32 (define @t756 () (or @t754 @t755)) % 1.11/1.32 (define @t757 () (forall (@list @t1 @t750 @t751) @t756)) % 1.11/1.32 (define @t758 () (@list @t750 @t751)) % 1.11/1.32 (define @t759 () (forall @t758 @t756)) % 1.11/1.32 (define @t760 () (forall @t758 @t755)) % 1.11/1.32 (define @t761 () (or @t754 @t760)) % 1.11/1.32 (define @t762 () (not (= @t18 @t272))) % 1.11/1.32 (define @t763 () (= @t18 @t237)) % 1.11/1.32 (define @t764 () (forall @t275 (or @t763 @t762))) % 1.11/1.32 (define @t765 () (not @t763)) % 1.11/1.32 (define @t766 () (= @t53 @t714)) % 1.11/1.32 (define @t767 () (not @t766)) % 1.11/1.32 (define @t768 () (not @t705)) % 1.11/1.32 (define @t769 () (or @t768 @t745 @t767)) % 1.11/1.32 (assume @p1 (forall @t4 (=> @t3 (= (tptp.ti @t1 @t2) @t2)))) % 1.11/1.32 (assume @p2 (forall @t10 (=> @t9 @t8))) % 1.11/1.32 (assume @p3 (forall @t10 (=> @t9 @t12))) % 1.11/1.32 (assume @p4 (forall @t10 (=> @t13 @t8))) % 1.11/1.32 (assume @p5 (forall @t10 (=> @t13 @t12))) % 1.11/1.32 (assume @p6 (forall @t10 (=> @t14 @t8))) % 1.11/1.32 (assume @p7 (forall @t10 (=> @t14 @t12))) % 1.11/1.32 (assume @p8 (forall @t4 (=> @t17 (= (tptp.ti @t16 @t15) @t15)))) % 1.11/1.32 (assume @p9 (forall @t4 (=> @t19 (= (tptp.ti @t1 @t18) @t18)))) % 1.11/1.32 (assume @p10 (forall @t4 (= (tptp.ti @t1 @t20) @t20))) % 1.11/1.32 (assume @p11 (forall @t4 (= (tptp.ti @t22 @t21) @t21))) % 1.11/1.32 (assume @p12 (= (tptp.ti @t23 tptp.bit0) tptp.bit0)) % 1.11/1.32 (assume @p13 (= (tptp.ti @t23 tptp.bit1) tptp.bit1)) % 1.11/1.32 (assume @p14 (= (tptp.ti tptp.int tptp.pls) tptp.pls)) % 1.11/1.32 (assume @p15 (forall @t10 (=> @t25 (= (tptp.number_number_of @t1 (tptp.ti tptp.int @t5)) @t24)))) % 1.11/1.32 (assume @p16 (forall @t10 (=> @t25 (= (tptp.ti @t1 @t24) @t24)))) % 1.11/1.32 (assume @p17 (= (tptp.ti @t23 tptp.succ) tptp.succ)) % 1.11/1.32 (assume @p18 (forall @t4 (=> @t28 (= (tptp.ti @t27 @t26) @t26)))) % 1.11/1.32 (assume @p19 (= (tptp.ti (tptp.fun tptp.real tptp.real) tptp.sqrt) tptp.sqrt)) % 1.11/1.32 (assume @p20 (forall @t4 (=> @t31 (= (tptp.ti (tptp.fun @t1 @t30) @t29) @t29)))) % 1.11/1.32 (assume @p21 (forall (@list @t32) (=> @t35 (= (tptp.ti (tptp.fun @t32 @t34) @t33) @t33)))) % 1.11/1.32 (assume @p22 (forall @t10 (=> @t37 (= (tptp.power_power @t1 @t7) @t36)))) % 1.11/1.32 (assume @p23 (forall @t10 (=> @t37 (= (tptp.ti @t27 @t36) @t36)))) % 1.11/1.32 (assume @p24 (= (tptp.ti tptp.bool tptp.fFalse) tptp.fFalse)) % 1.11/1.32 (assume @p25 (= (tptp.ti tptp.bool tptp.fTrue) tptp.fTrue)) % 1.11/1.32 (assume @p26 (forall @t41 (=> @t35 (= (tptp.hAPP @t1 @t32 (tptp.ti @t40 @t5) @t38) @t39)))) % 1.11/1.32 (assume @p27 (forall @t41 (=> @t35 (= (tptp.hAPP @t1 @t32 @t5 @t42) @t39)))) % 1.11/1.32 (assume @p28 (forall @t41 (=> @t35 (= (tptp.ti @t32 @t39) @t39)))) % 1.11/1.32 (assume @p29 (forall @t44 (=> @t37 (= (tptp.hAPP tptp.nat @t1 (tptp.ti @t27 @t5) @t38) @t43)))) % 1.11/1.32 (assume @p30 (forall @t44 (=> @t37 (= (tptp.hAPP tptp.nat @t1 @t5 (tptp.ti tptp.nat @t38)) @t43)))) % 1.11/1.32 (assume @p31 (forall @t44 (=> @t37 (= (tptp.ti @t1 @t43) @t43)))) % 1.11/1.32 (assume @p32 (forall @t46 (= (tptp.hAPP tptp.bool @t16 (tptp.ti @t22 @t5) @t38) @t45))) % 1.11/1.32 (assume @p33 (forall @t46 (= (tptp.hAPP tptp.bool @t16 @t5 (tptp.ti tptp.bool @t38)) @t45))) % 1.11/1.32 (assume @p34 (forall @t46 (= (tptp.ti @t16 @t45) @t45))) % 1.11/1.32 (assume @p35 (forall @t46 (= (tptp.hAPP @t1 @t11 (tptp.ti @t16 @t5) @t38) @t47))) % 1.11/1.32 (assume @p36 (forall @t46 (= (tptp.hAPP @t1 @t11 @t5 @t42) @t47))) % 1.11/1.32 (assume @p37 (forall @t46 (= (tptp.ti @t11 @t47) @t47))) % 1.11/1.32 (assume @p38 (forall @t46 (= (tptp.hAPP @t1 @t1 (tptp.ti @t11 @t5) @t38) @t48))) % 1.11/1.32 (assume @p39 (forall @t46 (= (tptp.hAPP @t1 @t1 @t5 @t42) @t48))) % 1.11/1.32 (assume @p40 (forall @t46 (= (tptp.ti @t1 @t48) @t48))) % 1.11/1.32 (assume @p41 (forall (@list @t5) (= (tptp.hBOOL (tptp.ti tptp.bool @t5)) (tptp.hBOOL @t5)))) % 1.11/1.32 (assume @p42 (= (tptp.ti tptp.int tptp.m1) tptp.m1)) % 1.11/1.32 (assume @p43 (= (tptp.ti tptp.nat tptp.n) tptp.n)) % 1.11/1.32 (assume @p44 (= (tptp.ti tptp.int tptp.t) tptp.t)) % 1.11/1.32 (assume @p45 (= (tptp.ti tptp.nat tptp.tn) tptp.tn)) % 1.11/1.32 (assume @p46 @t57) % 1.11/1.32 (assume @p47 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 @t50) tptp.t))) % 1.11/1.32 (assume @p48 (forall @t4 (=> @t70 (forall @t69 (= (= @t68 @t18) @t64))))) % 1.11/1.32 (assume @p49 (forall @t4 (=> @t28 (= (tptp.hAPP tptp.nat @t1 @t71 @t67) @t2)))) % 1.11/1.32 (assume @p50 (forall @t4 (=> @t28 (= (tptp.hAPP tptp.nat @t1 @t72 @t67) @t18)))) % 1.11/1.32 (assume @p51 (forall @t4 (=> @t79 (forall @t78 (= (= @t77 @t18) @t75))))) % 1.11/1.32 (assume @p52 (forall @t4 (=> @t85 (forall @t84 (= @t83 (tptp.number_number_of @t1 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t65) @t80))))))) % 1.11/1.32 (assume @p53 (forall @t4 (=> @t85 (forall @t91 (= @t90 (tptp.number_number_of @t1 (tptp.hAPP tptp.int tptp.int @t87 @t65))))))) % 1.11/1.32 (assume @p54 (forall @t4 (=> @t85 @t94))) % 1.11/1.32 (assume @p55 (forall @t4 (=> @t95 @t94))) % 1.11/1.32 (assume @p56 (forall @t99 (= (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int @t98) @t67) (tptp.hAPP tptp.nat tptp.int @t97 (tptp.number_number_of tptp.nat (tptp.hAPP tptp.int tptp.int tptp.bit0 @t66)))))) % 1.11/1.32 (assume @p57 (forall @t4 (=> @t104 (forall @t84 (and (=> @t103 (= @t101 @t2)) (=> (not @t103) (= @t101 @t18))))))) % 1.11/1.32 (assume @p58 (forall @t4 (=> @t85 (= @t2 @t105)))) % 1.11/1.32 (assume @p59 (forall @t4 (=> @t85 @t106))) % 1.11/1.32 (assume @p60 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t109 tptp.n))) % 1.11/1.32 (assume @p61 (forall @t113 (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t112 @t110)) @t111 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 @t110) @t96))))) % 1.11/1.32 (assume @p62 (forall @t120 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 @t119) @t118)) @t117))) % 1.11/1.32 (assume @p63 (forall @t123 (= (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t122) (tptp.number_number_of tptp.int @t80)) (tptp.number_number_of tptp.int @t121)))) % 1.11/1.32 (assume @p64 (forall @t4 (=> @t128 (forall @t69 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t127 @t125)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t124 @t58))))))) % 1.11/1.32 (assume @p65 (= @t53 @t129)) % 1.11/1.32 (assume @p66 (forall @t136 (= @t135 @t133))) % 1.11/1.32 (assume @p67 (forall @t136 (= @t133 @t135))) % 1.11/1.32 (assume @p68 (forall (@list @t131 @t130 @t137) (= (tptp.hAPP tptp.int tptp.int @t142 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t141) @t137)) (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t140) @t137)))) % 1.11/1.32 (assume @p69 (forall @t136 (= (tptp.hAPP tptp.int tptp.int @t142 @t141) @t140))) % 1.11/1.32 (assume @p70 (= @t144 @t50)) % 1.11/1.32 (assume @p71 (= @t145 @t102)) % 1.11/1.32 (assume @p72 (= @t102 @t145)) % 1.11/1.32 (assume @p73 (forall @t149 (= (= @t148 @t53) @t147))) % 1.11/1.32 (assume @p74 (= @t150 @t53)) % 1.11/1.32 (assume @p75 (= (tptp.hAPP tptp.nat tptp.nat @t151 @t143) @t67)) % 1.11/1.32 (assume @p76 (forall @t158 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t157 @t155)) @t154))) % 1.11/1.32 (assume @p77 (forall @t120 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t161 @t159)) @t117))) % 1.11/1.32 (assume @p78 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t162 tptp.pls)))) % 1.11/1.32 (assume @p79 (forall @t158 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t165 @t163)) @t154))) % 1.11/1.32 (assume @p80 (forall @t120 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t168 @t166)) @t117))) % 1.11/1.32 (assume @p81 (forall @t172 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 @t171) @t170)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t171) @t169)) (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t170) @t169)))))) % 1.11/1.32 (assume @p82 (forall @t182 (and (=> @t180 (= @t178 @t175)) (=> @t181 (and (=> @t179 (= @t178 @t176)) (=> (not @t179) (= @t178 (tptp.number_number_of tptp.nat @t174)))))))) % 1.11/1.32 (assume @p83 (= @t50 (tptp.number_number_of tptp.int @t65))) % 1.11/1.32 (assume @p84 (= @t183 @t143)) % 1.11/1.32 (assume @p85 (= @t143 @t183)) % 1.11/1.32 (assume @p86 (forall @t4 (=> (and @t85 (tptp.ring_char_0 @t1)) (forall @t69 (= (= @t126 @t125) @t184))))) % 1.11/1.32 (assume @p87 (forall @t4 (=> @t25 (forall (@list @t185 @t61) (= (= @t186 @t62) (= @t62 @t186)))))) % 1.11/1.32 (assume @p88 (forall @t120 (= (= @t160 @t159) @t187))) % 1.11/1.32 (assume @p89 (forall @t120 (= (= @t167 @t166) @t187))) % 1.11/1.32 (assume @p90 (forall @t4 (=> @t70 @t191))) % 1.11/1.32 (assume @p91 (forall (@list @t194 @t193 @t192) (= (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int @t195 @t193)) @t192) (tptp.hAPP tptp.int tptp.int @t195 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t193) @t192))))) % 1.11/1.32 (assume @p92 (forall @t198 (= (tptp.hAPP tptp.int tptp.int @t196 (tptp.hAPP tptp.int tptp.int @t197 @t137)) (tptp.hAPP tptp.int tptp.int @t197 (tptp.hAPP tptp.int tptp.int @t196 @t137))))) % 1.11/1.32 (assume @p93 (forall @t202 (= (tptp.hAPP tptp.int tptp.int @t201 @t80) @t200))) % 1.11/1.32 (assume @p94 (forall @t206 (= (= @t205 @t148) @t204))) % 1.11/1.32 (assume @p95 (forall @t4 (=> @t128 (forall @t207 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t127 @t18)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t124 tptp.pls))))))) % 1.11/1.32 (assume @p96 (forall @t4 (=> @t128 (forall @t209 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t125)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t162 @t58))))))) % 1.11/1.32 (assume @p97 (forall @t211 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t161 tptp.pls)) @t210))) % 1.11/1.32 (assume @p98 (forall @t158 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t157 @t163)) @t154))) % 1.11/1.32 (assume @p99 (forall @t120 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t161 @t166)) @t117))) % 1.11/1.32 (assume @p100 (forall @t211 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t168 tptp.pls)) @t210))) % 1.11/1.32 (assume @p101 (forall @t211 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t162 @t167)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t162 @t115))))) % 1.11/1.32 (assume @p102 (forall @t214 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 (tptp.hAPP tptp.int tptp.int tptp.bit1 @t185)) @t53)) @t213))) % 1.11/1.32 (assume @p103 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t162 @t53)))) % 1.11/1.32 (assume @p104 (forall @t214 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 (tptp.hAPP tptp.int tptp.int tptp.bit0 @t185)) @t53)) @t213))) % 1.11/1.32 (assume @p105 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t56 @t50))) % 1.11/1.32 (assume @p106 (forall @t218 (= @t217 (or @t216 (= @t185 @t215))))) % 1.11/1.32 (assume @p107 (forall @t219 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 (tptp.hAPP tptp.nat tptp.int @t49 @t169)) @t53))))) % 1.11/1.32 (assume @p108 (forall @t4 (=> @t128 (forall @t207 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t127 @t2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t124 @t65))))))) % 1.11/1.32 (assume @p109 (forall @t4 (=> @t128 (forall @t209 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t220 @t125)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 @t65) @t58))))))) % 1.11/1.32 (assume @p110 (forall @t222 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int @t51 @t215)) @t215)) @t53)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t221 @t53))))) % 1.11/1.32 (assume @p111 (forall @t4 (=> @t223 (forall @t78 (= (= @t190 @t18) @t75))))) % 1.11/1.32 (assume @p112 (forall @t219 (not (= @t224 tptp.pls)))) % 1.11/1.32 (assume @p113 (forall (@list @t225) (not (= tptp.pls @t226)))) % 1.11/1.32 (assume @p114 (forall @t228 (not (= @t224 @t227)))) % 1.11/1.32 (assume @p115 (forall @t228 (not (= @t229 @t226)))) % 1.11/1.32 (assume @p116 (forall @t211 (= (= @t167 tptp.pls) (= @t115 tptp.pls)))) % 1.11/1.32 (assume @p117 (forall (@list @t114) (= (= tptp.pls @t166) (= tptp.pls @t114)))) % 1.11/1.32 (assume @p118 (= (tptp.hAPP tptp.int tptp.int tptp.bit0 tptp.pls) tptp.pls)) % 1.11/1.32 (assume @p119 (= tptp.pls @t53)) % 1.11/1.32 (assume @p120 (not (= @t53 @t50))) % 1.11/1.32 (assume @p121 (forall @t219 (= (tptp.hAPP tptp.int tptp.int @t230 tptp.pls) @t169))) % 1.11/1.32 (assume @p122 (forall @t219 (= (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int tptp.pls) @t169) @t169))) % 1.11/1.32 (assume @p123 (forall @t228 (= (tptp.hAPP tptp.int tptp.int @t232 @t227) (tptp.hAPP tptp.int tptp.int tptp.bit0 @t231)))) % 1.11/1.32 (assume @p124 (forall @t219 (= @t229 (tptp.hAPP tptp.int tptp.int @t230 @t169)))) % 1.11/1.32 (assume @p125 (forall @t233 (= (tptp.hAPP tptp.int tptp.int @t201 @t53) @t137))) % 1.11/1.32 (assume @p126 (forall @t233 (= (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t53) @t137) @t137))) % 1.11/1.32 (assume @p127 (forall @t4 (=> @t95 @t235))) % 1.11/1.32 (assume @p128 (forall @t4 (=> @t85 @t235))) % 1.11/1.32 (assume @p129 (forall @t4 (=> @t85 (= @t18 @t234)))) % 1.11/1.32 (assume @p130 (forall @t4 (=> @t85 (forall @t238 (= (tptp.hAPP @t1 @t1 (tptp.plus_plus @t1 @t234) @t236) @t237))))) % 1.11/1.32 (assume @p131 (forall @t4 (=> @t85 (forall @t238 (= (tptp.hAPP @t1 @t1 @t239 @t234) @t237))))) % 1.11/1.32 (assume @p132 (forall @t4 (=> @t243 (forall (@list @t73 @t185) (= (= (tptp.hAPP tptp.nat @t1 @t76 @t240) @t18) (and @t75 (not @t241))))))) % 1.11/1.32 (assume @p133 (forall @t4 (=> @t85 (forall (@list @t86 @t80 @t137) (= (tptp.hAPP @t1 @t1 @t89 (tptp.hAPP @t1 @t1 (tptp.plus_plus @t1 @t81) @t137)) (tptp.hAPP @t1 @t1 (tptp.plus_plus @t1 @t244) @t137)))))) % 1.11/1.32 (assume @p134 (forall @t4 (=> @t85 (forall @t123 (= @t245 @t244))))) % 1.11/1.32 (assume @p135 (forall @t4 (=> @t85 (forall @t123 (= @t244 @t245))))) % 1.11/1.32 (assume @p136 (forall @t228 (= (tptp.hAPP tptp.int tptp.int @t247 @t227) @t246))) % 1.11/1.32 (assume @p137 (forall @t228 (= (tptp.hAPP tptp.int tptp.int @t232 @t226) @t246))) % 1.11/1.32 (assume @p138 (forall @t219 (= @t224 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int @t51 @t169)) @t169)))) % 1.11/1.32 (assume @p139 (forall @t233 (not (= (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t248) @t137) @t53)))) % 1.11/1.32 (assume @p140 (forall @t4 (=> @t95 (forall @t250 (= (tptp.number_number_of @t1 @t141) @t249))))) % 1.11/1.32 (assume @p141 @t256) % 1.11/1.32 (assume @p142 (forall @t4 (=> @t70 (forall @t238 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t258) @t18))))))) % 1.11/1.32 (assume @p143 (forall @t4 (=> @t70 (forall @t69 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t68)) @t259))))) % 1.11/1.32 (assume @p144 (forall @t4 (=> @t70 (forall @t113 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t263) @t18))))))) % 1.11/1.32 (assume @p145 (forall @t4 (=> @t85 (forall @t84 (= (tptp.number_number_of @t1 (tptp.hAPP tptp.int tptp.int tptp.bit0 @t80)) (tptp.hAPP @t1 @t1 (tptp.plus_plus @t1 (tptp.hAPP @t1 @t1 @t264 @t81)) @t81)))))) % 1.11/1.32 (assume @p146 (forall @t4 (=> @t85 (forall @t84 (= (tptp.number_number_of @t1 (tptp.hAPP tptp.int tptp.int tptp.bit1 @t80)) (tptp.hAPP @t1 @t1 (tptp.plus_plus @t1 @t83) @t81)))))) % 1.11/1.32 (assume @p147 (forall @t4 (=> @t95 @t106))) % 1.11/1.32 (assume @p148 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 tptp.m1) @t52))) % 1.11/1.32 (assume @p149 (forall @t4 (=> @t128 (forall @t250 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t249) (tptp.hAPP tptp.nat @t1 (tptp.power_power @t1 @t92) @t130))))))) % 1.11/1.32 (assume @p150 (= @t265 (tptp.hAPP tptp.nat tptp.int @t49 @t67))) % 1.11/1.32 (assume @p151 (= @t267 (tptp.hAPP tptp.nat tptp.int @t49 (tptp.number_number_of tptp.nat @t266)))) % 1.11/1.32 (assume @p152 (forall @t69 (= (= (tptp.hAPP tptp.real tptp.real (tptp.plus_plus tptp.real (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t61) @t67)) (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t58) @t67)) @t268) (and (= @t61 @t268) (= @t58 @t268))))) % 1.11/1.32 (assume @p153 (forall @t4 (=> @t271 (forall @t149 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t270)) @t269))))) % 1.11/1.32 (assume @p154 (forall @t4 (=> @t271 (forall @t275 (=> @t274 (=> @t273 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t220 @t272)))))))) % 1.11/1.32 (assume @p155 (forall @t4 (=> @t104 (forall @t250 (and (=> @t277 (= @t276 @t2)) (=> @t278 (= @t276 @t18))))))) % 1.11/1.32 (assume @p156 (forall @t4 (=> @t271 (forall @t285 (=> @t284 (=> @t282 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t281 @t2)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t280) @t272))))))))) % 1.11/1.32 (assume @p157 (forall @t4 (=> @t271 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t93))))) % 1.11/1.32 (assume @p158 (forall @t292 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t116 @t286)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t287 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t115) @t50))) (=> (forall @t291 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t116 @t289)) @t290)) @t288))))) % 1.11/1.32 (assume @p159 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t109 tptp.tn))) % 1.11/1.32 (assume @p160 (forall @t250 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t283 @t102))))) % 1.11/1.32 (assume @p161 (not (= @t268 @t293))) % 1.11/1.32 (assume @p162 (forall @t250 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t283 @t130))))) % 1.11/1.32 (assume @p163 (forall @t296 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t295 @t171))))) % 1.11/1.32 (assume @p164 (forall (@list @t170 @t171) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 (tptp.hAPP tptp.nat tptp.nat @t297 @t171)) @t171))))) % 1.11/1.32 (assume @p165 (forall @t219 (= (tptp.number_number_of tptp.int @t169) @t169))) % 1.11/1.32 (assume @p166 (forall @t206 (= @t300 (or @t299 @t298)))) % 1.11/1.32 (assume @p167 (forall @t136 (= @t139 @t302))) % 1.11/1.32 (assume @p168 (forall @t198 (= (tptp.hAPP tptp.nat tptp.nat @t303 (tptp.hAPP tptp.nat tptp.nat @t304 @t137)) (tptp.hAPP tptp.nat tptp.nat @t304 (tptp.hAPP tptp.nat tptp.nat @t303 @t137))))) % 1.11/1.32 (assume @p169 (forall (@list @t131 @t130 @t169) (= (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t139) @t169) (tptp.hAPP tptp.nat tptp.nat @t138 (tptp.hAPP tptp.nat tptp.nat @t301 @t169))))) % 1.11/1.32 (assume @p170 (forall @t308 (= (= @t307 @t306) @t204))) % 1.11/1.32 (assume @p171 (forall (@list @t203 @t115 @t146) (= (= @t310 (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t146) @t115)) @t204))) % 1.11/1.32 (assume @p172 (forall @t308 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 @t307) @t306)) @t299))) % 1.11/1.32 (assume @p173 (forall @t113 (=> (not @t111) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 @t96) @t110))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 @t110) @t96)))))) % 1.11/1.32 (assume @p174 (forall @t313 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t283 @t131)) @t312))) % 1.11/1.32 (assume @p175 (forall (@list @t315 @t314) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 @t315) @t314)) (not (= @t315 @t314))))) % 1.11/1.32 (assume @p176 (forall @t319 (=> @t318 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t317 @t316))))) % 1.11/1.32 (assume @p177 (forall @t319 (=> @t318 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t317 @t320))))) % 1.11/1.32 (assume @p178 (forall @t172 (=> @t318 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t323 @t321))))) % 1.11/1.32 (assume @p179 (forall @t326 (=> @t318 (=> @t325 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t323 @t324)))))) % 1.11/1.32 (assume @p180 (forall (@list @t131 @t130 @t169 @t225) (=> @t325 (=> (= (tptp.hAPP tptp.nat tptp.nat @t138 @t225) (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t169) @t130)) @t327)))) % 1.11/1.32 (assume @p181 (forall (@list @t171 @t170 @t169) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t295 @t169)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t317 @t169))))) % 1.11/1.32 (assume @p182 (forall (@list @t287 @t203 @t146) (=> (=> @t299 @t328) (=> (=> @t204 @t328) (=> (=> @t298 @t328) @t328))))) % 1.11/1.32 (assume @p183 (forall @t250 (=> @t278 @t273))) % 1.11/1.32 (assume @p184 (forall @t136 (=> @t327 @t278))) % 1.11/1.32 (assume @p185 (forall (@list @t131 @t130 @t171) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t109 @t171)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 (tptp.hAPP tptp.nat tptp.nat @t329 @t131)) (tptp.hAPP tptp.nat tptp.nat @t329 @t130))) @t327)))) % 1.11/1.32 (assume @p186 (forall @t334 (= @t333 (or @t330 @t147)))) % 1.11/1.32 (assume @p187 (forall @t206 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t109 @t335)) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t109 @t203)) @t269)))) % 1.11/1.32 (assume @p188 (forall @t149 (= @t336 @t269))) % 1.11/1.32 (assume @p189 (forall @t334 (= @t333 (or @t147 @t330)))) % 1.11/1.32 (assume @p190 (forall @t69 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 @t339) @t338)) @t337))) % 1.11/1.32 (assume @p191 (forall (@list @t61 @t185) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t109 (tptp.hAPP tptp.nat tptp.nat @t331 @t240))) (or @t241 @t330)))) % 1.11/1.32 (assume @p192 (forall @t206 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 @t205) @t148)) @t299))) % 1.11/1.32 (assume @p193 (forall @t345 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 @t344) @t343)) (and (=> @t342 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t162 @t340))) @t342)))) % 1.11/1.32 (assume @p194 (forall @t4 (=> @t70 @t355))) % 1.11/1.32 (assume @p195 (forall @t136 (=> (= @t139 @t131) @t277))) % 1.11/1.32 (assume @p196 (forall @t206 (= (= @t335 @t102) (and @t356 @t147)))) % 1.11/1.32 (assume @p197 (forall @t357 (= (tptp.hAPP tptp.nat tptp.nat @t138 @t102) @t131))) % 1.11/1.32 (assume @p198 (forall @t250 (= (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t102) @t130) @t130))) % 1.11/1.32 (assume @p199 (forall @t4 (=> @t358 (forall @t238 (= (tptp.hAPP tptp.nat @t1 @t257 @t143) @t237))))) % 1.11/1.32 (assume @p200 (forall @t4 (=> (tptp.semiring_char_0 @t1) (forall @t206 (= (= @t359 @t270) @t204))))) % 1.11/1.32 (assume @p201 (forall @t69 (= (= @t339 @t338) @t184))) % 1.11/1.32 (assume @p202 (forall (@list @t61 @t58 @t287) (and (=> @t362 (= @t339 @t361)) (=> (not @t362) (= @t338 @t361))))) % 1.11/1.32 (assume @p203 (forall @t363 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t109 @t344)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t162 @t341))))) % 1.11/1.32 (assume @p204 (forall @t149 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t56 @t148)) @t269))) % 1.11/1.32 (assume @p205 (forall @t4 (=> @t242 (not (= @t2 @t18))))) % 1.11/1.32 (assume @p206 (forall @t4 (=> @t242 (not (= @t18 @t2))))) % 1.11/1.32 (assume @p207 @t369) % 1.11/1.32 (assume @p208 (forall @t4 (=> @t358 (forall @t250 (= (tptp.hAPP tptp.nat @t1 @t71 @t130) @t2))))) % 1.11/1.32 (assume @p209 (forall @t4 (=> @t271 (forall @t206 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t359) @t270)) @t299))))) % 1.11/1.32 (assume @p210 (forall @t4 (=> @t271 (forall @t136 (=> @t327 @t372))))) % 1.11/1.32 (assume @p211 (forall @t4 (=> @t271 (forall @t136 (=> @t372 @t327))))) % 1.11/1.32 (assume @p212 (forall @t4 (=> @t28 (forall @t136 (= (tptp.hAPP tptp.nat @t1 @t26 @t139) (tptp.hAPP @t1 @t1 (tptp.plus_plus @t1 @t370) @t249)))))) % 1.11/1.32 (assume @p213 (forall @t4 (=> @t28 (= (tptp.hAPP tptp.nat @t1 @t26 @t143) @t2)))) % 1.11/1.32 (assume @p214 (forall @t4 (=> @t28 (forall @t136 (= (tptp.hAPP tptp.nat @t1 @t26 @t132) (tptp.hAPP tptp.nat @t1 (tptp.power_power @t1 @t370) @t130)))))) % 1.11/1.32 (assume @p215 (= @t50 @t144)) % 1.11/1.32 (assume @p216 (forall @t113 (= (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t373) (tptp.hAPP tptp.nat tptp.int @t49 @t110)) (tptp.hAPP tptp.nat tptp.int @t49 (tptp.hAPP tptp.nat tptp.nat @t303 @t110))))) % 1.11/1.32 (assume @p217 (forall (@list @t96 @t130) (= (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int @t373) @t130) (tptp.hAPP tptp.nat tptp.int @t49 (tptp.hAPP tptp.nat tptp.nat (tptp.power_power tptp.nat @t96) @t130))))) % 1.11/1.32 (assume @p218 (forall @t4 (=> @t271 (forall @t381 (=> @t282 @t380))))) % 1.11/1.32 (assume @p219 (forall @t4 (=> @t271 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t220 @t18)))))) % 1.11/1.32 (assume @p220 (forall @t4 (=> @t271 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t2))))) % 1.11/1.32 (assume @p221 @t385) % 1.11/1.32 (assume @p222 (forall @t4 (=> @t271 (forall @t238 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t281 (tptp.hAPP @t1 @t1 @t239 @t2))))))) % 1.11/1.32 (assume @p223 (forall @t4 (=> @t271 (forall (@list @t203 @t146 @t73) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t220 @t73)) (= (= (tptp.hAPP tptp.nat @t1 @t76 @t203) @t386) @t204)))))) % 1.11/1.32 (assume @p224 (forall @t4 (=> @t271 (forall @t392 (=> @t391 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t390) @t389)) @t337)))))) % 1.11/1.32 (assume @p225 (forall @t4 (=> @t271 (forall @t394 (=> @t274 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t393) @t272)) @t327)))))) % 1.11/1.32 (assume @p226 (forall @t4 (=> @t271 (forall @t285 (=> @t284 (=> @t274 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t395 @t280)))))))) % 1.11/1.32 (assume @p227 (forall @t4 (=> @t243 (forall (@list @t73 @t146) (= (= @t386 @t18) (and @t75 @t336)))))) % 1.11/1.32 (assume @p228 (forall @t4 (=> @t271 (forall @t357 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t371 @t18))))))) % 1.11/1.32 (assume @p229 (forall @t4 (=> @t37 (forall @t238 (= (tptp.hAPP tptp.nat @t1 @t257 @t102) @t2))))) % 1.11/1.32 (assume @p230 (forall @t4 (=> @t28 (= (tptp.hAPP tptp.nat @t1 @t26 @t102) @t18)))) % 1.11/1.32 (assume @p231 (= @t53 @t150)) % 1.11/1.32 (assume @p232 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t109 @t67))) % 1.11/1.32 (assume @p233 (forall @t219 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t56 @t169)) (exists @t399 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t109 @t396)) @t398))))) % 1.11/1.32 (assume @p234 (forall @t296 (=> @t318 (exists @t401 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t109 @t400)) (= (tptp.hAPP tptp.nat tptp.nat @t294 @t400) @t170)))))) % 1.11/1.32 (assume @p235 (forall @t334 (= (= @t332 @t143) (or (= @t61 @t143) @t147)))) % 1.11/1.32 (assume @p236 (forall @t4 (=> @t402 (forall @t99 (= (tptp.hAPP tptp.nat @t1 @t261 @t102) @t2))))) % 1.11/1.32 (assume @p237 (forall @t4 (=> @t223 (forall @t78 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t190)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t73))))))) % 1.11/1.32 (assume @p238 (forall @t4 (=> @t223 @t191))) % 1.11/1.32 (assume @p239 (forall @t4 (=> @t19 (forall @t207 (= (= @t18 @t62) @t63))))) % 1.11/1.32 (assume @p240 (forall @t4 (=> @t14 (forall @t408 (=> (= (tptp.hAPP @t1 @t1 @t407 @t236) @t406) @t404))))) % 1.11/1.32 (assume @p241 (forall @t4 (=> (tptp.cancel146912293up_add @t1) @t411))) % 1.11/1.32 (assume @p242 (forall @t4 (=> @t14 @t411))) % 1.11/1.32 (assume @p243 (forall @t4 (=> @t402 (forall (@list @t236 @t376 @t374 @t412) (= (tptp.hAPP @t1 @t1 @t416 @t415) (tptp.hAPP @t1 @t1 @t414 @t413)))))) % 1.11/1.32 (assume @p244 (forall @t4 (=> @t14 (forall (@list @t387 @t73 @t417) (= (= @t423 @t421) @t419))))) % 1.11/1.32 (assume @p245 (forall @t4 (=> @t14 (forall @t425 (= (= (tptp.hAPP @t1 @t1 @t189 @t387) @t424) @t419))))) % 1.11/1.32 (assume @p246 (forall @t4 (=> @t402 (forall @t410 (= @t426 (tptp.hAPP @t1 @t1 @t414 @t376)))))) % 1.11/1.32 (assume @p247 (forall @t4 (=> @t13 @t428))) % 1.11/1.32 (assume @p248 (forall @t4 (=> @t402 @t428))) % 1.11/1.32 (assume @p249 (forall @t4 (=> @t402 (forall @t430 (= @t429 (tptp.hAPP @t1 @t1 @t414 @t412)))))) % 1.11/1.32 (assume @p250 (forall @t4 (=> @t402 (forall @t430 (= @t429 (tptp.hAPP @t1 @t1 @t405 (tptp.hAPP @t1 @t1 @t239 @t412))))))) % 1.11/1.32 (assume @p251 (forall @t4 (=> @t402 (forall (@list @t236 @t374) (= @t375 @t406))))) % 1.11/1.32 (assume @p252 (forall @t4 (=> @t3 (forall @t207 (= (= @t2 @t62) (= @t62 @t2)))))) % 1.11/1.32 (assume @p253 (forall @t4 (=> (tptp.semiri456707255roduct @t1) (forall (@list @t387 @t73) (= (= @t418 @t423) @t75))))) % 1.11/1.32 (assume @p254 (forall @t4 (=> @t432 @t431))) % 1.11/1.32 (assume @p255 (forall @t4 (=> @t402 @t431))) % 1.11/1.32 (assume @p256 (forall @t4 (=> @t9 @t431))) % 1.11/1.32 (assume @p257 (forall @t4 (=> @t223 (forall @t78 (= (= @t18 @t190) @t75))))) % 1.11/1.32 (assume @p258 (forall @t4 (=> @t432 @t433))) % 1.11/1.32 (assume @p259 (forall @t4 (=> @t402 @t433))) % 1.11/1.32 (assume @p260 (forall @t4 (=> @t9 @t433))) % 1.11/1.32 (assume @p261 (forall @t4 (=> @t438 (forall @t437 (=> @t436 @t434))))) % 1.11/1.32 (assume @p262 (forall @t4 (=> @t438 (forall @t441 (=> @t440 @t434))))) % 1.11/1.32 (assume @p263 (forall @t4 (=> @t447 (forall @t446 (=> @t434 @t445))))) % 1.11/1.32 (assume @p264 (forall @t4 (=> @t447 (forall @t437 (=> @t434 @t436))))) % 1.11/1.32 (assume @p265 (forall @t4 (=> @t447 (forall @t437 (=> @t434 @t440))))) % 1.11/1.32 (assume @p266 (forall @t4 (=> @t438 (forall @t450 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t421) @t449)) @t448))))) % 1.11/1.32 (assume @p267 (forall @t4 (=> @t438 (forall @t452 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t424) @t451)) @t448))))) % 1.11/1.32 (assume @p268 (forall @t4 (=> @t402 (forall @t99 (= (tptp.hAPP tptp.nat @t1 @t261 @t143) @t352))))) % 1.11/1.32 (assume @p269 (forall @t206 (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.power_power tptp.nat @t203) @t146) @t102) (and @t336 @t356)))) % 1.11/1.32 (assume @p270 (forall @t4 (=> @t458 (forall @t457 (=> @t456 @t455))))) % 1.11/1.32 (assume @p271 (forall @t4 (=> @t458 (forall @t457 (=> @t282 @t461))))) % 1.11/1.32 (assume @p272 (forall @t469 (=> @t273 (=> @t468 (exists @t467 (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t466 @t462)) (= (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t462) @t130) @t236) (forall (@list @t463) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t466 @t463)) (= (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t463) @t130) @t236)) (= @t463 @t462))))))))) % 1.11/1.32 (assume @p273 (forall @t469 (=> @t273 (=> @t468 (exists (@list @t470) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t466 @t470)) (= (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t470) @t130) @t236))))))) % 1.11/1.32 (assume @p274 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t472 tptp.t))) % 1.11/1.32 (assume @p275 (forall @t91 (and (=> @t180 (= @t475 @t143)) (=> @t181 (= @t475 @t474))))) % 1.11/1.32 (assume @p276 (forall @t91 (and (=> @t180 (= @t476 @t143)) (=> @t181 (= @t476 @t474))))) % 1.11/1.32 (assume @p277 (forall @t4 (=> @t438 (forall @t452 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t424) @t451)) @t479))))) % 1.11/1.32 (assume @p278 (forall @t4 (=> @t438 (forall @t450 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t421) @t449)) @t479))))) % 1.11/1.32 (assume @p279 (forall @t4 (=> @t484 (forall @t437 (=> @t483 @t481))))) % 1.11/1.32 (assume @p280 (forall @t4 (=> @t484 (forall @t437 (=> @t483 @t485))))) % 1.11/1.32 (assume @p281 (forall @t4 (=> @t484 (forall @t446 (=> @t483 (=> @t487 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t480 @t413)))))))) % 1.11/1.32 (assume @p282 (forall @t4 (=> @t438 (forall @t441 (=> @t481 @t483))))) % 1.11/1.32 (assume @p283 (forall @t4 (=> @t438 (forall @t437 (=> @t485 @t483))))) % 1.11/1.32 (assume @p284 (forall @t4 (=> @t271 (forall @t285 (=> @t493 (=> @t490 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t488 @t280)))))))) % 1.11/1.32 (assume @p285 (forall @t158 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t495 @t155)) @t494))) % 1.11/1.32 (assume @p286 (forall @t120 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t498 @t159)) @t497))) % 1.11/1.32 (assume @p287 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t499 tptp.pls))) % 1.11/1.32 (assume @p288 (forall @t158 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t500 @t163)) @t494))) % 1.11/1.32 (assume @p289 (forall @t120 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t501 @t166)) @t497))) % 1.11/1.32 (assume @p290 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 @t53))) % 1.11/1.32 (assume @p291 (forall @t84 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t503 @t80)))) % 1.11/1.32 (assume @p292 (forall @t202 (or @t505 @t504))) % 1.11/1.32 (assume @p293 (forall @t172 (=> @t507 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t471 @t170) @t169)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t506 @t169)))))) % 1.11/1.32 (assume @p294 (forall @t202 (=> @t505 (=> @t504 @t508)))) % 1.11/1.32 (assume @p295 (forall @t4 (=> @t128 (forall @t69 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t510 @t125)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t509 @t58))))))) % 1.11/1.32 (assume @p296 (forall @t4 (=> @t271 (forall @t206 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t359) @t270)) @t511))))) % 1.11/1.32 (assume @p297 (forall (@list @t215 @t185) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t221 @t185)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t471 @t215) @t185)) (not (= @t215 @t185)))))) % 1.11/1.32 (assume @p298 (forall @t172 (=> @t507 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t471 (tptp.hAPP tptp.int tptp.int @t230 @t171)) (tptp.hAPP tptp.int tptp.int @t230 @t170)))))) % 1.11/1.32 (assume @p299 (forall @t120 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t471 @t119) @t118)) @t497))) % 1.11/1.32 (assume @p300 (forall @t4 (=> @t128 (forall @t209 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t125)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t499 @t58))))))) % 1.11/1.32 (assume @p301 (forall @t4 (=> @t128 (forall @t207 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t510 @t18)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t509 tptp.pls))))))) % 1.11/1.32 (assume @p302 (forall @t4 (=> @t271 (forall @t285 (=> @t493 (=> @t513 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t482 @t2)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t280) @t272))))))))) % 1.11/1.32 (assume @p303 (forall @t4 (=> @t271 (forall @t392 (=> @t391 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t390) @t389)) @t514)))))) % 1.11/1.32 (assume @p304 (forall @t4 (=> @t271 (forall @t394 (=> @t274 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t393) @t272)) @t515)))))) % 1.11/1.32 (assume @p305 (forall @t4 (=> @t128 (forall @t209 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t489 @t125)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t471 @t65) @t58))))))) % 1.11/1.32 (assume @p306 (forall @t4 (=> @t128 (forall @t207 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t510 @t2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t509 @t65))))))) % 1.11/1.32 (assume @p307 (forall @t4 (=> @t223 (forall @t78 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t190)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t73))))))) % 1.11/1.32 (assume @p308 (forall @t4 (=> @t223 (forall @t78 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t190) @t18)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t478 @t18))))))) % 1.11/1.32 (assume @p309 (forall @t4 (=> @t458 (forall @t457 (=> @t513 (=> @t516 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t409)))))))) % 1.11/1.32 (assume @p310 (forall @t4 (=> @t458 (forall @t517 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t61)) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t58)) (= (= (tptp.hAPP @t1 @t1 (tptp.plus_plus @t1 @t61) @t58) @t18) @t64))))))) % 1.11/1.32 (assume @p311 (forall @t4 (=> @t458 (forall @t381 (=> @t513 (=> @t520 @t519)))))) % 1.11/1.32 (assume @p312 (forall @t4 (=> @t458 (forall @t408 (=> @t522 (=> @t521 @t519)))))) % 1.11/1.32 (assume @p313 (forall @t4 (=> @t458 (forall @t457 (=> @t524 (=> @t523 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t409) @t18)))))))) % 1.11/1.32 (assume @p314 (forall @t4 (=> @t447 (forall @t446 (=> @t434 (=> @t487 @t442)))))) % 1.11/1.32 (assume @p315 (forall @t4 (=> @t447 (forall @t446 (=> @t483 @t445))))) % 1.11/1.32 (assume @p316 (forall @t4 (=> @t271 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t489 @t18)))))) % 1.11/1.32 (assume @p317 (forall @t4 (=> @t271 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t2))))) % 1.11/1.32 (assume @p318 (forall @t4 (=> (and @t25 @t526) (forall (@list @t341 @t185) (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t525) @t186)) (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t186) @t525)))))))) % 1.11/1.32 (assume @p319 (forall @t4 (=> @t271 (forall @t275 (=> @t513 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t272))))))) % 1.11/1.32 (assume @p320 (forall @t4 (=> @t271 (forall @t528 (=> @t483 (=> @t513 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t488 @t527)))))))) % 1.11/1.32 (assume @p321 (forall @t4 (=> @t271 (forall @t275 (=> @t490 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t489 @t272))))))) % 1.11/1.32 (assume @p322 (forall @t4 (=> @t271 (forall @t357 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t370)))))) % 1.11/1.32 (assume @p323 (forall @t4 (=> @t271 (forall @t250 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t249)))))) % 1.11/1.32 (assume @p324 (forall @t211 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t499 @t160)) @t529))) % 1.11/1.32 (assume @p325 (forall @t120 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t501 @t159)) @t497))) % 1.11/1.32 (assume @p326 (forall @t158 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t500 @t155)) @t494))) % 1.11/1.32 (assume @p327 (forall @t211 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t499 @t167)) @t529))) % 1.11/1.32 (assume @p328 (forall @t211 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t501 tptp.pls)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t496 tptp.pls))))) % 1.11/1.32 (assume @p329 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 @t50))) % 1.11/1.32 (assume @p330 (forall @t531 (=> @t530 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 @t110)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 (tptp.hAPP tptp.int tptp.int @t196 @t110))))))) % 1.11/1.32 (assume @p331 (forall (@list @t532 @t137 @t533 @t80) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 @t533) @t80)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t471 @t532) @t137)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t533) @t532)) @t200)))))) % 1.11/1.32 (assume @p332 (forall @t233 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 (tptp.hAPP tptp.nat tptp.int @t49 @t137))))) % 1.11/1.32 (assume @p333 (forall @t537 (= (exists @t467 (and @t536 @t535)) (exists @t467 @t534)))) % 1.11/1.32 (assume @p334 (forall @t537 (= (forall @t467 (=> @t536 @t535)) (forall @t467 @t534)))) % 1.11/1.32 (assume @p335 (forall @t250 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 @t141)))) % 1.11/1.32 (assume @p336 (forall (@list @t130 @t96) (=> @t530 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 (tptp.hAPP tptp.nat tptp.int @t97 @t130)))))) % 1.11/1.32 (assume @p337 (forall @t218 (= @t539 (exists @t399 (= @t215 (tptp.hAPP tptp.int tptp.int @t538 @t397)))))) % 1.11/1.32 (assume @p338 (forall @t4 (=> @t95 (forall @t91 (=> @t541 (= (tptp.hAPP @t1 @t1 @t82 @t88) @t540)))))) % 1.11/1.32 (assume @p339 (forall @t4 (=> @t95 (forall @t91 (=> @t541 (= @t90 @t540)))))) % 1.11/1.32 (assume @p340 (forall @t4 (=> @t458 (forall @t457 (=> @t282 (=> @t516 @t459)))))) % 1.11/1.32 (assume @p341 (forall @t4 (=> @t458 (forall @t457 (=> @t513 @t461))))) % 1.11/1.32 (assume @p342 (forall @t4 (=> @t458 (forall @t381 (=> @t282 (=> @t520 @t378)))))) % 1.11/1.32 (assume @p343 (forall @t4 (=> @t458 (forall @t381 (=> @t513 @t380))))) % 1.11/1.32 (assume @p344 (forall @t4 (=> @t458 (forall @t457 (=> @t456 (=> @t523 @t453)))))) % 1.11/1.32 (assume @p345 (forall @t4 (=> @t458 (forall @t457 (=> @t524 @t455))))) % 1.11/1.32 (assume @p346 (forall @t4 (=> @t271 (forall @t543 (=> @t542 (=> @t516 @t434)))))) % 1.11/1.32 (assume @p347 (forall @t363 (= (= @t102 @t344) @t545))) % 1.11/1.32 (assume @p348 (forall @t363 (= (= @t344 @t102) @t545))) % 1.11/1.32 (assume @p349 (forall @t211 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t162 @t160)) @t529))) % 1.11/1.32 (assume @p350 (forall @t211 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t498 tptp.pls)) @t210))) % 1.11/1.32 (assume @p351 (forall @t120 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t168 @t159)) @t497))) % 1.11/1.32 (assume @p352 (forall @t158 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t165 @t155)) @t494))) % 1.11/1.32 (assume @p353 (forall @t120 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t498 @t166)) @t117))) % 1.11/1.32 (assume @p354 (forall @t158 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t495 @t163)) @t154))) % 1.11/1.32 (assume @p355 (forall @t222 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t472 @t215)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t56 @t215))))) % 1.11/1.32 (assume @p356 (forall @t149 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t471 @t148) @t53)) @t147))) % 1.11/1.32 (assume @p357 (= (tptp.hAPP tptp.int tptp.int tptp.succ tptp.pls) @t65)) % 1.11/1.32 (assume @p358 (forall @t219 (= (tptp.hAPP tptp.int tptp.int tptp.succ @t229) @t224))) % 1.11/1.32 (assume @p359 (forall @t219 (= (tptp.hAPP tptp.int tptp.int tptp.succ @t224) (tptp.hAPP tptp.int tptp.int tptp.bit0 @t546)))) % 1.11/1.32 (assume @p360 (forall @t218 (= @t217 @t539))) % 1.11/1.32 (assume @p361 (forall @t218 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t471 (tptp.hAPP tptp.int tptp.int @t538 @t50)) @t215)) @t216))) % 1.11/1.32 (assume @p362 (forall (@list @t80 @t137) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t54 @t80) @t137)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t471 (tptp.hAPP tptp.int tptp.int @t199 @t50)) @t137))))) % 1.11/1.32 (assume @p363 (forall @t219 (= @t546 (tptp.hAPP tptp.int tptp.int @t230 @t50)))) % 1.11/1.32 (assume @p364 (forall @t4 (=> @t271 (forall @t543 (=> (= @t272 @t527) (=> @t513 (=> @t516 (=> @t273 @t547)))))))) % 1.11/1.32 (assume @p365 (forall @t4 (=> @t95 (forall @t182 (=> @t541 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t499 @t173)) (= (tptp.hAPP @t1 @t1 @t89 (tptp.number_number_of @t1 @t173)) (tptp.number_number_of @t1 @t174)))))))) % 1.11/1.32 (assume @p366 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 @t267))) % 1.11/1.32 (assume @p367 (forall @t233 (=> @t548 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t56 @t248))))) % 1.11/1.32 (assume @p368 (forall @t4 (=> @t85 (forall @t219 (= (tptp.number_number_of @t1 @t546) (tptp.hAPP @t1 @t1 @t82 (tptp.number_number_of @t1 @t169))))))) % 1.11/1.32 (assume @p369 (forall @t228 (= (tptp.hAPP tptp.int tptp.int @t247 @t226) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int @t230 (tptp.hAPP tptp.int tptp.int tptp.succ @t225)))))) % 1.11/1.32 (assume @p370 (forall @t4 (=> @t271 (forall @t528 (=> @t434 (=> @t513 (=> @t273 @t542))))))) % 1.11/1.32 (assume @p371 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 @t265))) % 1.11/1.32 (assume @p372 (forall @t99 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t471 @t96) @t98)))) % 1.11/1.32 (assume @p373 (forall @t4 (=> @t70 (forall @t238 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t258)))))) % 1.11/1.32 (assume @p374 (forall @t4 (=> @t271 (forall @t113 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t262) @t260)) (=> @t551 @t550)))))) % 1.11/1.32 (assume @p375 (forall @t4 (=> @t271 (forall @t113 (=> (= @t262 @t260) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t96)) (=> @t551 @t353))))))) % 1.11/1.32 (assume @p376 (forall @t4 (=> @t85 (forall @t91 (and (=> @t553 (= @t552 @t88)) (=> (not @t553) (= @t552 @t18))))))) % 1.11/1.32 (assume @p377 (forall @t4 (=> @t271 (forall @t113 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t262) @t260)) (=> @t551 @t349)))))) % 1.11/1.32 (assume @p378 (forall @t4 (=> @t70 (forall @t113 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t512 @t263)))))) % 1.11/1.32 (assume @p379 (forall @t4 (=> @t70 (forall @t69 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t68) @t18)) @t64))))) % 1.11/1.32 (assume @p380 (forall @t99 (=> @t530 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t112 @t265)) (or (= @t96 @t53) (= @t96 @t50)))))) % 1.11/1.32 (assume @p381 (forall @t250 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 (tptp.number_number_of tptp.int @t130))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 (tptp.number_number_of tptp.int (tptp.hAPP tptp.int tptp.int tptp.bit0 @t130)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 (tptp.number_number_of tptp.int (tptp.hAPP tptp.int tptp.int tptp.bit1 @t130)))))))) % 1.11/1.32 (assume @p382 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t502 @t129))) % 1.11/1.32 (assume @p383 (forall @t219 (=> @t554 (exists @t399 @t398)))) % 1.11/1.32 (assume @p384 (forall @t219 (=> @t554 (not (forall @t399 (not @t398)))))) % 1.11/1.32 (assume @p385 (forall @t250 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t491 @t102) @t130)))) % 1.11/1.32 (assume @p386 (forall @t149 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t491 @t146) @t102)) @t147))) % 1.11/1.32 (assume @p387 (forall @t136 (=> (or @t327 @t311) @t515))) % 1.11/1.32 (assume @p388 (forall @t136 (=> @t515 (=> @t312 @t327)))) % 1.11/1.32 (assume @p389 (forall @t136 (=> @t327 @t515))) % 1.11/1.32 (assume @p390 (forall @t206 (= @t511 (or @t299 @t204)))) % 1.11/1.32 (assume @p391 (forall @t206 (= @t299 (and @t511 @t300)))) % 1.11/1.32 (assume @p392 (forall @t250 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t492 @t130)))) % 1.11/1.32 (assume @p393 (forall @t136 (or @t515 @t555))) % 1.11/1.32 (assume @p394 (forall @t136 (=> @t311 @t515))) % 1.11/1.32 (assume @p395 (forall @t172 (=> @t557 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t491 @t170) @t169)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t556 @t169)))))) % 1.11/1.32 (assume @p396 (forall @t136 (=> @t515 (=> @t555 @t311)))) % 1.11/1.32 (assume @p397 (forall @t69 (= @t561 (or @t559 @t184)))) % 1.11/1.32 (assume @p398 (forall @t69 (= @t559 (and @t561 (not @t184))))) % 1.11/1.32 (assume @p399 (forall @t313 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t492 @t139)))) % 1.11/1.32 (assume @p400 (forall @t313 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t492 @t302)))) % 1.11/1.32 (assume @p401 (forall @t206 (= @t511 (exists @t401 (= @t146 (tptp.hAPP tptp.nat tptp.nat @t309 @t400)))))) % 1.11/1.32 (assume @p402 (forall @t308 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t491 @t307) @t306)) @t511))) % 1.11/1.32 (assume @p403 (forall @t319 (=> @t557 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t556 @t316))))) % 1.11/1.32 (assume @p404 (forall @t319 (=> @t557 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t556 @t320))))) % 1.11/1.32 (assume @p405 (forall @t172 (=> @t557 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t562 @t321))))) % 1.11/1.32 (assume @p406 (forall @t326 (=> @t557 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t563 @t225)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t562 @t324)))))) % 1.11/1.32 (assume @p407 (forall @t566 (=> @t565 @t564))) % 1.11/1.32 (assume @p408 (forall @t566 (=> @t565 @t515))) % 1.11/1.32 (assume @p409 (forall @t566 (=> @t565 (not (=> @t515 (not @t564)))))) % 1.11/1.32 (assume @p410 (forall @t568 (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t465 @t560 @t96) @t110)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t465 @t560 (tptp.hAPP tptp.real tptp.real @t567 @t96)) (tptp.hAPP tptp.real tptp.real @t567 @t110)))))) % 1.11/1.32 (assume @p411 (forall @t69 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t471 @t339) @t338)) @t514))) % 1.11/1.32 (assume @p412 (forall @t206 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t55 @t471 @t205) @t148)) @t511))) % 1.11/1.32 (assume @p413 (forall @t345 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t491 @t344) @t343)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t544 @t340))) @t545)))) % 1.11/1.32 (assume @p414 (forall @t250 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t465 @t560 @t293) (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real (tptp.number_number_of tptp.real @t66)) @t130))))) % 1.11/1.32 (assume @p415 (forall @t573 (=> @t572 (= (and @t571 @t362) (and @t571 @t570))))) % 1.11/1.32 (assume @p416 (forall @t573 (=> @t572 (= (=> @t571 @t362) (=> @t571 @t570))))) % 1.11/1.32 (assume @p417 (forall @t577 (=> @t576 (=> @t575 (exists @t401 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 @t400) @t146)) (forall @t291 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t491 @t289) @t400)) @t574)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t287 (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t400) @t143))))))))) % 1.11/1.32 (assume @p418 (forall @t233 (=> @t548 (not (forall (@list @t578) (not (= @t137 (tptp.hAPP tptp.nat tptp.int @t49 @t578)))))))) % 1.11/1.32 (assume @p419 (forall (@list @t203 @t115 @t579) (=> (forall (@list @t578 @t396) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 @t578) @t396)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 (tptp.hAPP tptp.nat tptp.nat @t579 @t578)) (tptp.hAPP tptp.nat tptp.nat @t579 @t396))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t491 (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat (tptp.hAPP tptp.nat tptp.nat @t579 @t203)) @t115)) (tptp.hAPP tptp.nat tptp.nat @t579 @t310)))))) % 1.11/1.32 (assume @p420 (forall @t84 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t580 @t80)))) % 1.11/1.32 (assume @p421 (forall @t202 (or @t582 @t581))) % 1.11/1.32 (assume @p422 (forall @t172 (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t583 @t170)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t465 @t560 @t170) @t169)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t583 @t169)))))) % 1.11/1.32 (assume @p423 (forall @t202 (=> @t582 (=> @t581 @t508)))) % 1.11/1.32 (assume @p424 (forall @t292 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t496 @t286)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t287 @t115)) (=> (forall @t291 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t496 @t289)) @t290)) @t288))))) % 1.11/1.32 (assume @p425 (forall @t577 (=> @t576 (=> @t575 (exists @t401 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t491 @t400) @t146)) (forall @t291 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t584 @t400)) @t574)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t287 @t400)))))))) % 1.11/1.32 (assume @p426 (forall (@list @t286 @t585 @t579) (=> (forall (@list @t289 @t586) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t584 @t586)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t107 (tptp.hAPP tptp.nat tptp.nat @t579 @t289)) (tptp.hAPP tptp.nat tptp.nat @t579 @t586))))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t491 @t286) @t585)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t108 @t491 (tptp.hAPP tptp.nat tptp.nat @t579 @t286)) (tptp.hAPP tptp.nat tptp.nat @t579 @t585))))))) % 1.11/1.32 (assume @p427 (forall @t4 (=> @t587 (forall @t99 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t549 @t96)))))) % 1.11/1.32 (assume @p428 (forall @t4 (=> @t526 (forall @t113 (=> (not @t550) @t589))))) % 1.11/1.32 (assume @p429 (forall @t594 (=> @t35 (forall (@list @t61 @t579 @t590) (=> @t593 (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t32 @t34 @t33 (tptp.hAPP @t1 @t32 @t579 @t61)) (tptp.hAPP @t1 @t32 @t590 @t61)))))))) % 1.11/1.32 (assume @p430 (forall @t4 (=> @t598 (forall @t597 (=> @t589 (=> @t596 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t595 @t96)))))))) % 1.11/1.32 (assume @p431 (forall @t4 (=> @t598 (forall @t531 (=> @t589 (=> @t550 @t353)))))) % 1.11/1.32 (assume @p432 (forall @t4 (=> @t587 (forall @t568 (=> @t550 (=> @t599 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t549 @t137)))))))) % 1.11/1.32 (assume @p433 (forall @t4 (=> @t598 (forall @t113 (=> @t550 (=> @t589 @t353)))))) % 1.11/1.32 (assume @p434 (forall @t4 (=> @t598 (forall @t601 (=> @t521 (=> @t404 @t600)))))) % 1.11/1.32 (assume @p435 (forall @t4 (=> @t31 (forall @t437 (=> @t483 (=> @t603 @t602)))))) % 1.11/1.32 (assume @p436 (forall @t4 (=> @t598 (forall @t437 (=> @t547 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t486 @t376)) @t600)))))) % 1.11/1.32 (assume @p437 (forall @t4 (=> @t31 (forall @t437 (=> @t604 (=> @t520 @t602)))))) % 1.11/1.32 (assume @p438 (forall @t4 (=> @t598 (forall @t517 (=> @t608 @t607))))) % 1.11/1.32 (assume @p439 (forall @t4 (=> @t587 (forall @t113 (=> @t111 @t550))))) % 1.11/1.32 (assume @p440 (forall @t4 (=> @t598 (forall @t69 (= @t605 (and @t606 @t608)))))) % 1.11/1.32 (assume @p441 (forall @t4 (=> @t526 (forall @t113 (or @t550 @t589))))) % 1.11/1.32 (assume @p442 (forall @t594 (=> @t35 (forall @t612 (= @t593 @t611))))) % 1.11/1.32 (assume @p443 (forall @t4 (=> @t526 (forall @t113 (=> @t350 (=> @t354 @t347)))))) % 1.11/1.32 (assume @p444 (forall @t4 (=> @t587 (forall @t113 (=> @t349 (not @t347)))))) % 1.11/1.32 (assume @p445 (forall @t4 (=> @t598 (forall @t597 (=> @t347 @t615))))) % 1.11/1.32 (assume @p446 (forall @t4 (=> @t587 (forall @t568 (=> @t349 @t617))))) % 1.11/1.32 (assume @p447 (forall @t4 (=> @t598 (forall @t601 (=> @t619 (=> @t404 @t618)))))) % 1.11/1.32 (assume @p448 (forall @t4 (=> @t31 (forall @t437 (=> @t434 (=> @t603 @t620)))))) % 1.11/1.32 (assume @p449 (forall @t4 (=> @t598 (forall @t437 (=> @t547 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t443 @t376)) @t618)))))) % 1.11/1.32 (assume @p450 (forall @t4 (=> @t31 (forall @t437 (=> @t604 (=> @t379 @t620)))))) % 1.11/1.32 (assume @p451 (forall @t4 (=> @t598 (forall @t457 (=> @t619 (not @t434)))))) % 1.11/1.32 (assume @p452 (forall @t4 (=> @t587 (forall @t621 (=> @t434 (not @t619)))))) % 1.11/1.32 (assume @p453 (forall @t4 (=> @t587 (forall (@list @t287 @t61 @t58) (=> @t623 (=> @t622 @t362)))))) % 1.11/1.32 (assume @p454 (forall @t4 (=> @t598 (forall @t113 (=> @t349 (not (= @t351 @t352))))))) % 1.11/1.32 (assume @p455 (forall @t4 (=> @t598 (forall @t113 (=> @t349 @t354))))) % 1.11/1.32 (assume @p456 (forall @t4 (=> @t526 @t355))) % 1.11/1.32 (assume @p457 (forall @t4 (=> @t526 (forall @t517 (=> (not @t622) @t625))))) % 1.11/1.32 (assume @p458 (forall @t4 (=> @t526 (forall @t113 (or @t349 @t353 @t347))))) % 1.11/1.32 (assume @p459 (forall @t4 (=> @t526 (forall @t69 (= @t624 (or @t622 @t605)))))) % 1.11/1.32 (assume @p460 (forall @t4 (=> @t526 (forall @t69 (= @t626 (or @t623 @t622)))))) % 1.11/1.32 (assume @p461 (forall @t4 (=> @t587 (forall @t99 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t348 @t96))))))) % 1.11/1.32 (assume @p462 (forall @t4 (=> @t526 (forall @t69 (= @t624 @t608))))) % 1.11/1.32 (assume @p463 (forall @t4 (=> @t526 (forall @t69 (= (not @t606) @t622))))) % 1.11/1.32 (assume @p464 (forall @t4 (=> @t526 (forall @t113 (or @t550 @t347))))) % 1.11/1.32 (assume @p465 (forall @t4 (=> @t598 (forall @t69 (= @t623 (and @t606 @t626)))))) % 1.11/1.32 (assume @p466 (forall @t4 (=> @t587 (forall @t69 (= @t623 (and @t606 (not @t608))))))) % 1.11/1.32 (assume @p467 (forall @t4 (=> @t598 (forall @t69 (= @t606 (or @t623 @t605)))))) % 1.11/1.32 (assume @p468 (forall @t4 (=> @t526 (forall @t113 (=> @t350 @t589))))) % 1.11/1.32 (assume @p469 (forall @t4 (=> @t526 (forall @t531 (=> (not @t589) @t349))))) % 1.11/1.32 (assume @p470 (forall @t4 (=> @t526 (forall @t69 (=> @t624 @t607))))) % 1.11/1.32 (assume @p471 (forall @t4 (=> @t598 (forall @t621 (=> @t627 (=> @t483 @t434)))))) % 1.11/1.32 (assume @p472 (forall @t4 (=> @t598 (forall @t621 (=> @t627 (=> @t521 @t619)))))) % 1.11/1.32 (assume @p473 (forall @t4 (=> @t526 (forall @t531 (=> @t589 @t350))))) % 1.11/1.32 (assume @p474 (forall @t4 (=> @t587 (forall @t113 (=> @t349 @t550))))) % 1.11/1.32 (assume @p475 (forall @t4 (=> @t526 (forall @t69 (=> @t606 @t625))))) % 1.11/1.32 (assume @p476 (forall @t4 (=> @t598 (forall @t113 (=> @t550 (or @t349 @t353)))))) % 1.11/1.32 (assume @p477 (forall @t4 (=> @t598 (forall @t621 (=> @t483 (=> @t627 @t434)))))) % 1.11/1.32 (assume @p478 (forall @t4 (=> @t598 (forall @t457 (=> @t521 (=> @t627 @t619)))))) % 1.11/1.32 (assume @p479 (forall @t4 (=> @t587 (forall @t568 (=> @t349 (=> @t599 @t616)))))) % 1.11/1.32 (assume @p480 (forall @t4 (=> @t598 (forall @t597 (=> @t347 (=> @t596 @t614)))))) % 1.11/1.32 (assume @p481 (forall @t4 (=> @t587 (forall @t568 (=> @t550 @t617))))) % 1.11/1.32 (assume @p482 (forall @t4 (=> @t598 (forall @t597 (=> @t589 @t615))))) % 1.11/1.32 (assume @p483 (forall (@list @t628 @t631) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t466 @t631)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t466 @t628)) (exists (@list @t629) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t466 @t629)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t630 @t631)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t630 @t628)))))))) % 1.11/1.32 (assume @p484 (forall @t4 (=> @t634 (forall (@list @t137 @t110) (=> (forall @t467 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t633 @t110)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t632 @t137)))) @t599))))) % 1.11/1.32 (assume @p485 (forall @t594 (=> @t35 (forall @t612 (= (tptp.hBOOL (tptp.hAPP @t40 tptp.bool (tptp.hAPP @t40 @t592 (tptp.ord_less @t40) @t579) @t590)) (and @t593 (not (tptp.hBOOL (tptp.hAPP @t40 tptp.bool (tptp.hAPP @t40 @t592 @t591 @t590) @t579))))))))) % 1.11/1.32 (assume @p486 (forall @t594 (=> @t35 (forall @t612 (=> @t611 @t593))))) % 1.11/1.32 (assume @p487 (forall @t4 (=> @t526 (forall @t639 (exists @t638 (forall @t467 (=> @t637 (not @t635)))))))) % 1.11/1.32 (assume @p488 (forall @t4 (=> @t634 (forall @t568 (=> @t349 (=> (forall (@list @t640) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t348 @t640)) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t640) @t110)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t640) @t137))))) @t599)))))) % 1.11/1.32 (assume @p489 (forall @t653 (=> @t652 (forall @t650 (=> @t649 (=> (tptp.hBOOL (tptp.hAPP @t32 tptp.bool @t648 @t647)) (=> (forall @t646 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t463) @t462)) (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t32 @t34 @t642 @t645) @t609)))) @t644))))))) % 1.11/1.32 (assume @p490 (forall @t4 (=> @t526 (forall @t639 (exists @t638 (forall @t467 (=> @t654 @t635))))))) % 1.11/1.32 (assume @p491 (forall @t4 (=> @t526 (forall @t639 (exists @t638 (forall @t467 (=> @t637 @t655))))))) % 1.11/1.32 (assume @p492 (forall @t653 (=> @t652 (forall @t650 (=> @t656 (=> (tptp.hBOOL (tptp.hAPP @t32 tptp.bool @t643 @t647)) (=> (forall @t646 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t463) @t462)) (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t32 @t34 @t33 @t645) @t609)))) @t644))))))) % 1.11/1.32 (assume @p493 (forall @t594 (=> @t659 (forall @t658 (=> @t448 (=> (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t32 @t34 @t33 @t647) @t417)) (=> (forall @t646 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t633 @t463)) (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t32 @t34 @t642 @t609) @t645)))) @t657))))))) % 1.11/1.32 (assume @p494 (forall @t4 (=> @t526 (forall @t639 (exists @t638 (forall @t467 (=> @t654 (not @t655)))))))) % 1.11/1.32 (assume @p495 (forall @t653 (=> (and @t598 @t35) (forall @t650 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t664) @t73)) (=> (tptp.hBOOL (tptp.hAPP @t32 tptp.bool @t643 @t387)) (=> (forall @t646 (=> (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t32 @t34 @t642 @t463) @t462)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t663) @t662)))) @t661))))))) % 1.11/1.32 (assume @p496 (forall @t594 (=> @t659 (forall @t658 (=> @t479 (=> (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t32 @t34 @t642 @t647) @t417)) (=> (forall @t646 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t632 @t463)) (tptp.hBOOL (tptp.hAPP @t32 tptp.bool @t610 @t645)))) @t657))))))) % 1.11/1.32 (assume @p497 (forall @t594 (=> @t659 (forall @t666 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t188 @t664)) (=> (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t32 @t34 @t33 @t387) @t417)) (=> (forall @t646 (=> (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t32 @t34 @t33 @t462) @t463)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t662) @t663)))) @t665))))))) % 1.11/1.32 (assume @p498 (forall @t653 (=> @t652 (forall @t650 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t664) @t73)) (=> (tptp.hBOOL (tptp.hAPP @t32 tptp.bool @t648 @t387)) (=> (forall @t646 (=> (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t32 @t34 @t33 @t463) @t462)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t663) @t662)))) @t661))))))) % 1.11/1.32 (assume @p499 (forall @t594 (=> @t659 (forall @t666 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t478 @t664)) (=> (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t32 @t34 @t642 @t387) @t417)) (=> (forall @t646 (=> (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t32 @t34 @t642 @t462) @t463)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t662) @t663)))) @t665))))))) % 1.11/1.32 (assume @p500 (forall @t113 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t465 @t560 @t268) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.plus_plus tptp.real (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t96) @t67)) (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t110) @t67))))))) % 1.11/1.32 (assume @p501 (forall @t621 (= (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t236) @t376)) @t67) (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int @t236) @t67)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t23 @t667 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t23 @t667 @t265) @t236)) @t376))) (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int @t376) @t67))))) % 1.11/1.32 (assume @p502 (forall @t228 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t23 @t667 @t224) @t225) (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int @t23 @t667 @t169) @t225))) @t225)))) % 1.11/1.32 (assume @p503 (forall @t4 (=> @t673 (forall @t437 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t672) @t671)) @t669))))) % 1.11/1.32 (assume @p504 (forall @t4 (=> @t673 (forall @t441 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t477 @t677) @t675)) @t669))))) % 1.11/1.32 (assume @p505 (forall @t4 (=> @t673 @t680))) % 1.11/1.32 (assume @p506 (forall @t4 (=> @t17 @t680))) % 1.11/1.32 (assume @p507 (forall @t4 (=> @t673 @t683))) % 1.11/1.32 (assume @p508 (forall @t4 (=> @t17 @t683))) % 1.11/1.32 (assume @p509 (forall @t4 (=> @t673 (forall @t446 (=> @t483 (=> @t444 (=> @t282 @t685))))))) % 1.11/1.32 (assume @p510 (forall @t4 (=> @t673 (forall @t446 (=> @t434 (=> @t487 (=> @t513 (=> @t668 @t684)))))))) % 1.11/1.32 (assume @p511 (forall @t4 (=> @t673 (forall @t446 (=> @t434 (=> @t444 (=> @t513 @t685))))))) % 1.11/1.32 (assume @p512 (forall @t4 (=> @t673 (forall @t446 (=> @t434 (=> @t444 (=> @t460 @t685))))))) % 1.11/1.32 (assume @p513 (forall @t4 (=> @t691 (forall @t425 (=> @t690 (= @t689 @t656)))))) % 1.11/1.32 (assume @p514 (forall @t4 (=> @t691 (forall @t425 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t417)) (= @t689 @t479)))))) % 1.11/1.32 (assume @p515 (forall @t4 (=> @t691 (forall @t69 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 (tptp.hAPP @t1 @t1 (tptp.plus_plus @t1 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t11 @t15 @t61) @t61)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t11 @t15 @t58) @t58)))) @t259))))) % 1.11/1.32 (assume @p516 (forall @t4 (=> (tptp.linordered_ring @t1) (forall @t113 (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 (tptp.hAPP @t1 @t1 (tptp.plus_plus @t1 (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t11 @t15 @t96) @t96)) (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t11 @t15 @t110) @t110))) @t18))))))) % 1.11/1.32 (assume @p517 (forall @t4 (=> @t271 (forall @t275 (=> @t274 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t395 @t692))))))) % 1.11/1.32 (assume @p518 (forall @t4 (=> @t271 (forall @t275 (=> @t274 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t220 @t692))))))) % 1.11/1.32 (assume @p519 (forall @t99 (=> @t694 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t466 @t693))))) % 1.11/1.32 (assume @p520 (forall @t99 (=> @t694 (not (= @t693 @t268))))) % 1.11/1.32 (assume @p521 (forall @t207 (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t695 @t268)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t558 @t268))))) % 1.11/1.32 (assume @p522 (forall @t209 (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t466 @t696)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t466 @t58))))) % 1.11/1.32 (assume @p523 (forall @t207 (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t695 @t293)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t558 @t293))))) % 1.11/1.32 (assume @p524 (forall @t209 (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t697 @t696)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t697 @t58))))) % 1.11/1.32 (assume @p525 (forall @t4 (=> @t691 (forall @t601 (=> @t619 (=> @t698 @t679)))))) % 1.11/1.32 (assume @p526 (forall @t4 (=> @t691 (forall @t601 (=> @t619 (=> @t698 @t682)))))) % 1.11/1.32 (assume @p527 (forall @t4 (=> (tptp.linord893533164strict @t1) @t699))) % 1.11/1.32 (assume @p528 (forall @t4 (=> @t673 @t699))) % 1.11/1.32 (assume @p529 (forall @t4 (=> @t673 (forall @t437 (=> @t434 (=> @t668 @t682)))))) % 1.11/1.32 (assume @p530 (forall @t4 (=> @t691 (forall @t457 (=> @t456 (=> @t454 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 @t700)))))))) % 1.11/1.32 (assume @p531 (forall @t4 (=> @t673 (forall @t457 (=> @t456 (=> @t460 (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t700) @t18)))))))) % 1.11/1.32 (assume @p532 (forall @t4 (=> @t691 (forall @t425 (=> @t690 (= (tptp.hBOOL (tptp.hAPP @t1 tptp.bool (tptp.hAPP @t1 @t30 @t29 @t688) @t687)) @t649)))))) % 1.11/1.32 (assume @p533 (forall @t4 (=> @t673 (forall @t457 (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t208 (tptp.hAPP @t1 @t1 @t674 @t236))) (=> @t282 @t460)))))) % 1.11/1.32 (assume @p534 (forall @t704 (=> (tptp.preorder @t701) (tptp.preorder @t703)))) % 1.11/1.32 (assume @p535 (forall @t704 (=> (tptp.order @t701) (tptp.order @t703)))) % 1.11/1.32 (assume @p536 (forall @t704 (=> (tptp.ord @t701) (tptp.ord @t703)))) % 1.11/1.32 (assume @p537 (tptp.semiri456707255roduct tptp.int)) % 1.11/1.32 (assume @p538 (tptp.ordere223160158up_add tptp.int)) % 1.11/1.32 (assume @p539 (tptp.ordere236663937imp_le tptp.int)) % 1.11/1.32 (assume @p540 (tptp.linord893533164strict tptp.int)) % 1.11/1.32 (assume @p541 (tptp.linord20386208strict tptp.int)) % 1.11/1.32 (assume @p542 (tptp.ordere779506340up_add tptp.int)) % 1.11/1.32 (assume @p543 (tptp.ordere216010020id_add tptp.int)) % 1.11/1.32 (assume @p544 (tptp.linord219039673up_add tptp.int)) % 1.11/1.32 (assume @p545 (tptp.cancel146912293up_add tptp.int)) % 1.11/1.32 (assume @p546 @t705) % 1.11/1.32 (assume @p547 (tptp.linord581940658strict tptp.int)) % 1.11/1.32 (assume @p548 (tptp.cancel_semigroup_add tptp.int)) % 1.11/1.32 (assume @p549 (tptp.linordered_semiring tptp.int)) % 1.11/1.32 (assume @p550 @t706) % 1.11/1.32 (assume @p551 (tptp.ab_semigroup_add tptp.int)) % 1.11/1.32 (assume @p552 (tptp.no_zero_divisors tptp.int)) % 1.11/1.32 (assume @p553 (tptp.comm_monoid_add tptp.int)) % 1.11/1.32 (assume @p554 (tptp.linordered_ring tptp.int)) % 1.11/1.32 (assume @p555 @t707) % 1.11/1.32 (assume @p556 (tptp.comm_semiring_1 tptp.int)) % 1.11/1.32 (assume @p557 (tptp.semiring_char_0 tptp.int)) % 1.11/1.32 (assume @p558 (tptp.number_semiring tptp.int)) % 1.11/1.32 (assume @p559 (tptp.zero_neq_one tptp.int)) % 1.11/1.32 (assume @p560 (tptp.preorder tptp.int)) % 1.11/1.32 (assume @p561 (tptp.linorder tptp.int)) % 1.11/1.32 (assume @p562 (tptp.monoid_mult tptp.int)) % 1.11/1.32 (assume @p563 (tptp.monoid_add tptp.int)) % 1.11/1.32 (assume @p564 (tptp.semiring_1 tptp.int)) % 1.11/1.32 (assume @p565 (tptp.semiring_0 tptp.int)) % 1.11/1.32 (assume @p566 (tptp.mult_zero tptp.int)) % 1.11/1.32 (assume @p567 (tptp.order tptp.int)) % 1.11/1.32 (assume @p568 (tptp.ring_char_0 tptp.int)) % 1.11/1.32 (assume @p569 (tptp.number_ring tptp.int)) % 1.11/1.32 (assume @p570 (tptp.ord tptp.int)) % 1.11/1.32 (assume @p571 (tptp.power tptp.int)) % 1.11/1.32 (assume @p572 (tptp.zero tptp.int)) % 1.11/1.32 (assume @p573 (tptp.number tptp.int)) % 1.11/1.32 (assume @p574 (tptp.one tptp.int)) % 1.11/1.32 (assume @p575 (tptp.semiri456707255roduct tptp.nat)) % 1.11/1.32 (assume @p576 (tptp.ordere223160158up_add tptp.nat)) % 1.11/1.32 (assume @p577 (tptp.ordere236663937imp_le tptp.nat)) % 1.11/1.32 (assume @p578 (tptp.linord893533164strict tptp.nat)) % 1.11/1.32 (assume @p579 (tptp.linord20386208strict tptp.nat)) % 1.11/1.32 (assume @p580 (tptp.ordere779506340up_add tptp.nat)) % 1.11/1.32 (assume @p581 (tptp.ordere216010020id_add tptp.nat)) % 1.11/1.32 (assume @p582 (tptp.cancel146912293up_add tptp.nat)) % 1.11/1.32 (assume @p583 (tptp.cancel_semigroup_add tptp.nat)) % 1.11/1.32 (assume @p584 (tptp.linordered_semiring tptp.nat)) % 1.11/1.32 (assume @p585 (tptp.linordered_semidom tptp.nat)) % 1.11/1.32 (assume @p586 (tptp.ab_semigroup_add tptp.nat)) % 1.11/1.32 (assume @p587 (tptp.no_zero_divisors tptp.nat)) % 1.11/1.32 (assume @p588 (tptp.comm_monoid_add tptp.nat)) % 1.11/1.32 (assume @p589 (tptp.comm_semiring_1 tptp.nat)) % 1.11/1.32 (assume @p590 (tptp.semiring_char_0 tptp.nat)) % 1.11/1.32 (assume @p591 (tptp.number_semiring tptp.nat)) % 1.11/1.32 (assume @p592 (tptp.zero_neq_one tptp.nat)) % 1.11/1.32 (assume @p593 (tptp.preorder tptp.nat)) % 1.11/1.32 (assume @p594 (tptp.linorder tptp.nat)) % 1.11/1.32 (assume @p595 (tptp.monoid_mult tptp.nat)) % 1.11/1.32 (assume @p596 (tptp.monoid_add tptp.nat)) % 1.11/1.32 (assume @p597 (tptp.semiring_1 tptp.nat)) % 1.11/1.32 (assume @p598 (tptp.semiring_0 tptp.nat)) % 1.11/1.32 (assume @p599 (tptp.mult_zero tptp.nat)) % 1.11/1.32 (assume @p600 (tptp.order tptp.nat)) % 1.11/1.32 (assume @p601 (tptp.ord tptp.nat)) % 1.11/1.32 (assume @p602 (tptp.power tptp.nat)) % 1.11/1.32 (assume @p603 (tptp.zero tptp.nat)) % 1.11/1.32 (assume @p604 (tptp.number tptp.nat)) % 1.11/1.32 (assume @p605 (tptp.one tptp.nat)) % 1.11/1.32 (assume @p606 (tptp.preorder tptp.bool)) % 1.11/1.32 (assume @p607 (tptp.order tptp.bool)) % 1.11/1.32 (assume @p608 (tptp.ord tptp.bool)) % 1.11/1.32 (assume @p609 (tptp.semiri456707255roduct tptp.real)) % 1.11/1.32 (assume @p610 (tptp.ordere223160158up_add tptp.real)) % 1.11/1.32 (assume @p611 (tptp.ordere236663937imp_le tptp.real)) % 1.11/1.32 (assume @p612 (tptp.linord893533164strict tptp.real)) % 1.11/1.32 (assume @p613 (tptp.linord20386208strict tptp.real)) % 1.11/1.32 (assume @p614 (tptp.ordere779506340up_add tptp.real)) % 1.11/1.32 (assume @p615 (tptp.ordere216010020id_add tptp.real)) % 1.11/1.32 (assume @p616 (tptp.linord219039673up_add tptp.real)) % 1.11/1.32 (assume @p617 (tptp.cancel146912293up_add tptp.real)) % 1.11/1.32 (assume @p618 (tptp.ring_11004092258visors tptp.real)) % 1.11/1.32 (assume @p619 (tptp.linord581940658strict tptp.real)) % 1.11/1.32 (assume @p620 (tptp.cancel_semigroup_add tptp.real)) % 1.11/1.32 (assume @p621 (tptp.linordered_semiring tptp.real)) % 1.11/1.32 (assume @p622 (tptp.linordered_semidom tptp.real)) % 1.11/1.32 (assume @p623 (tptp.dense_linorder tptp.real)) % 1.11/1.32 (assume @p624 (tptp.ab_semigroup_add tptp.real)) % 1.11/1.32 (assume @p625 (tptp.no_zero_divisors tptp.real)) % 1.11/1.32 (assume @p626 (tptp.comm_monoid_add tptp.real)) % 1.11/1.32 (assume @p627 (tptp.linordered_ring tptp.real)) % 1.11/1.32 (assume @p628 (tptp.linordered_idom tptp.real)) % 1.11/1.32 (assume @p629 (tptp.comm_semiring_1 tptp.real)) % 1.11/1.32 (assume @p630 (tptp.semiring_char_0 tptp.real)) % 1.11/1.32 (assume @p631 (tptp.number_semiring tptp.real)) % 1.11/1.32 (assume @p632 (tptp.zero_neq_one tptp.real)) % 1.11/1.32 (assume @p633 (tptp.preorder tptp.real)) % 1.11/1.32 (assume @p634 (tptp.linorder tptp.real)) % 1.11/1.32 (assume @p635 (tptp.monoid_mult tptp.real)) % 1.11/1.32 (assume @p636 (tptp.monoid_add tptp.real)) % 1.11/1.32 (assume @p637 (tptp.semiring_1 tptp.real)) % 1.11/1.32 (assume @p638 (tptp.semiring_0 tptp.real)) % 1.11/1.32 (assume @p639 (tptp.mult_zero tptp.real)) % 1.11/1.32 (assume @p640 (tptp.order tptp.real)) % 1.11/1.32 (assume @p641 (tptp.ring_char_0 tptp.real)) % 1.11/1.32 (assume @p642 (tptp.number_ring tptp.real)) % 1.11/1.32 (assume @p643 (tptp.ord tptp.real)) % 1.11/1.32 (assume @p644 (tptp.power tptp.real)) % 1.11/1.32 (assume @p645 (tptp.zero tptp.real)) % 1.11/1.32 (assume @p646 (tptp.number tptp.real)) % 1.11/1.32 (assume @p647 (tptp.one tptp.real)) % 1.11/1.32 (assume @p648 (forall (@list @t709 @t708) (= (tptp.ti @t709 @t710) @t710))) % 1.11/1.32 (assume @p649 (forall @t711 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t11 (tptp.hAPP tptp.bool @t16 @t21 tptp.fTrue) @t96) @t110) @t352))) % 1.11/1.32 (assume @p650 (forall @t711 (= (tptp.hAPP @t1 @t1 (tptp.hAPP @t1 @t11 (tptp.hAPP tptp.bool @t16 @t21 tptp.fFalse) @t96) @t110) @t351))) % 1.11/1.32 (assume @p651 (forall (@list @t712) (or (= @t713 tptp.fTrue) (= @t713 tptp.fFalse)))) % 1.11/1.32 (assume @p652 (not (not @t715))) % 1.11/1.32 (assume @p653 true) % 1.11/1.32 (step @p654 :rule aci_norm :args ((= @t722 (or @t720 @t719 @t718)))) % 1.11/1.32 (step @p655 :rule cong :premises (@p654) :args (@t723)) % 1.11/1.32 (step @p656 :rule quant-merge-prenex :args ((= (forall @t4 @t725) @t723))) % 1.11/1.32 (step @p657 :rule alpha_equiv :args (@t726 (@list @t716 @t717) @t727)) % 1.11/1.32 (step @p658 :rule refl :args (@t720)) % 1.11/1.32 (step @p659 :rule nary_cong :premises (@p658 @p657) :args (@t728)) % 1.11/1.32 (step @p660 :rule quant-miniscope-or :args ((= @t725 @t728))) % 1.11/1.32 (step @p661 :rule trans :premises (@p660 @p659)) % 1.11/1.32 (step @p662 :rule symm :premises (@p661)) % 1.11/1.32 (step @p663 :rule cong :premises (@p662) :args ((forall @t4 (or @t720 @t729)))) % 1.11/1.32 (step @p664 :rule trans :premises (@p663 @p656)) % 1.11/1.32 (step @p665 :rule trans :premises (@p664 @p655)) % 1.11/1.32 (step @p666 :rule bool-impl-elim :args (@t271 @t729)) % 1.11/1.32 (step @p667 :rule cong :premises (@p666) :args ((forall @t4 (=> @t271 @t729)))) % 1.11/1.32 (step @p668 :rule trans :premises (@p667 @p665)) % 1.11/1.32 (step @p669 :rule bool-impl-elim :args (@t282 @t382)) % 1.11/1.32 (step @p670 :rule cong :premises (@p669) :args (@t383)) % 1.11/1.32 (step @p671 :rule refl :args (@t271)) % 1.11/1.32 (step @p672 :rule cong :premises (@p671 @p670) :args (@t384)) % 1.11/1.32 (step @p673 :rule cong :premises (@p672) :args (@t385)) % 1.11/1.32 (step @p674 :rule trans :premises (@p673 @p668)) % 1.11/1.32 (step @p675 :rule eq_resolve :premises (@p221 @p674)) % 1.11/1.32 (step @p676 :rule instantiate :premises (@p675) :args (@t730)) % 1.11/1.32 (step @p677 :rule cnf_or_pos :args (@t734)) % 1.11/1.32 (step @p678 :rule reordering :premises (@p677) :args ((or @t732 @t733 @t731 (not @t734)))) % 1.11/1.32 (step @p679 :rule chain_m_resolution :premises (@p678 @p46 @p550 @p676) :args (@t731 @t735 (@list @t57 @t706 @t734))) % 1.11/1.32 (step @p680 :rule quant-merge-prenex :args ((= (forall @t4 @t741) (forall (@list @t1 @t736) @t739)))) % 1.11/1.32 (step @p681 :rule alpha_equiv :args (@t742 (@list @t736) (@list @t73))) % 1.11/1.32 (step @p682 :rule refl :args (@t738)) % 1.11/1.32 (step @p683 :rule nary_cong :premises (@p682 @p681) :args (@t743)) % 1.11/1.32 (step @p684 :rule quant-miniscope-or :args ((= @t741 @t743))) % 1.11/1.32 (step @p685 :rule trans :premises (@p684 @p683)) % 1.11/1.32 (step @p686 :rule symm :premises (@p685)) % 1.11/1.32 (step @p687 :rule cong :premises (@p686) :args ((forall @t4 (or @t738 @t744)))) % 1.11/1.32 (step @p688 :rule trans :premises (@p687 @p680)) % 1.11/1.32 (step @p689 :rule bool-impl-elim :args (@t70 @t744)) % 1.11/1.32 (step @p690 :rule cong :premises (@p689) :args ((forall @t4 (=> @t70 @t744)))) % 1.11/1.32 (step @p691 :rule trans :premises (@p690 @p688)) % 1.11/1.32 (step @p692 :rule eq-symm :args (@t74 @t18)) % 1.11/1.32 (step @p693 :rule cong :premises (@p692) :args (@t251)) % 1.11/1.32 (step @p694 :rule refl :args (@t252)) % 1.11/1.32 (step @p695 :rule cong :premises (@p694 @p693) :args (@t253)) % 1.11/1.32 (step @p696 :rule cong :premises (@p695) :args (@t254)) % 1.11/1.32 (step @p697 :rule refl :args (@t70)) % 1.11/1.32 (step @p698 :rule cong :premises (@p697 @p696) :args (@t255)) % 1.11/1.32 (step @p699 :rule cong :premises (@p698) :args (@t256)) % 1.11/1.32 (step @p700 :rule trans :premises (@p699 @p691)) % 1.11/1.32 (step @p701 :rule eq_resolve :premises (@p141 @p700)) % 1.11/1.32 (step @p702 :rule instantiate :premises (@p701) :args ((@list tptp.int @t52))) % 1.11/1.32 (step @p703 :rule cnf_or_pos :args (@t749)) % 1.11/1.32 (step @p704 :rule reordering :premises (@p703) :args ((or @t748 @t747 (not @t749)))) % 1.11/1.32 (step @p705 :rule chain_m_resolution :premises (@p704 @p555 @p702) :args (@t747 (@list false false) (@list @t707 @t749))) % 1.11/1.32 (step @p706 :rule aci_norm :args ((= @t756 (or @t754 @t753 @t752)))) % 1.11/1.32 (step @p707 :rule cong :premises (@p706) :args (@t757)) % 1.11/1.32 (step @p708 :rule quant-merge-prenex :args ((= (forall @t4 @t759) @t757))) % 1.11/1.32 (step @p709 :rule alpha_equiv :args (@t760 (@list @t750 @t751) @t727)) % 1.11/1.32 (step @p710 :rule refl :args (@t754)) % 1.11/1.32 (step @p711 :rule nary_cong :premises (@p710 @p709) :args (@t761)) % 1.11/1.32 (step @p712 :rule quant-miniscope-or :args ((= @t759 @t761))) % 1.11/1.32 (step @p713 :rule trans :premises (@p712 @p711)) % 1.11/1.32 (step @p714 :rule symm :premises (@p713)) % 1.11/1.32 (step @p715 :rule cong :premises (@p714) :args ((forall @t4 (or @t754 @t764)))) % 1.11/1.32 (step @p716 :rule trans :premises (@p715 @p708)) % 1.11/1.32 (step @p717 :rule trans :premises (@p716 @p707)) % 1.11/1.32 (step @p718 :rule bool-impl-elim :args (@t79 @t764)) % 1.11/1.32 (step @p719 :rule cong :premises (@p718) :args ((forall @t4 (=> @t79 @t764)))) % 1.11/1.32 (step @p720 :rule trans :premises (@p719 @p717)) % 1.11/1.32 (step @p721 :rule refl :args (@t762)) % 1.11/1.32 (step @p722 :rule bool-double-not-elim :args (@t763)) % 1.11/1.32 (step @p723 :rule nary_cong :premises (@p722 @p721) :args ((or (not @t765) @t762))) % 1.11/1.32 (step @p724 :rule bool-impl-elim :args (@t765 @t762)) % 1.11/1.32 (step @p725 :rule trans :premises (@p724 @p723)) % 1.11/1.32 (step @p726 :rule cong :premises (@p725) :args ((forall @t275 (=> @t765 @t762)))) % 1.11/1.32 (step @p727 :rule eq-symm :args (@t272 @t18)) % 1.11/1.32 (step @p728 :rule cong :premises (@p727) :args (@t364)) % 1.11/1.32 (step @p729 :rule eq-symm :args (@t237 @t18)) % 1.11/1.32 (step @p730 :rule cong :premises (@p729) :args (@t365)) % 1.11/1.32 (step @p731 :rule cong :premises (@p730 @p728) :args (@t366)) % 1.11/1.32 (step @p732 :rule cong :premises (@p731) :args (@t367)) % 1.11/1.32 (step @p733 :rule trans :premises (@p732 @p726)) % 1.11/1.32 (step @p734 :rule refl :args (@t79)) % 1.11/1.32 (step @p735 :rule cong :premises (@p734 @p733) :args (@t368)) % 1.11/1.32 (step @p736 :rule cong :premises (@p735) :args (@t369)) % 1.11/1.32 (step @p737 :rule trans :premises (@p736 @p720)) % 1.11/1.32 (step @p738 :rule eq_resolve :premises (@p207 @p737)) % 1.11/1.32 (step @p739 :rule instantiate :premises (@p738) :args (@t730)) % 1.11/1.32 (step @p740 :rule eq-symm :args (@t714 @t53)) % 1.11/1.32 (step @p741 :rule bool-double-not-elim :args (@t715)) % 1.11/1.32 (step @p742 :rule trans :premises (@p741 @p740)) % 1.11/1.32 (step @p743 :rule eq_resolve :premises (@p652 @p742)) % 1.11/1.32 (step @p744 :rule cnf_or_pos :args (@t769)) % 1.11/1.32 (step @p745 :rule reordering :premises (@p744) :args ((or @t768 @t767 @t745 (not @t769)))) % 1.11/1.32 (step @p746 :rule chain_m_resolution :premises (@p745 @p546 @p743 @p739) :args (@t745 @t735 (@list @t705 @t766 @t769))) % 1.11/1.32 (step @p747 :rule cnf_equiv_pos1 :args (@t747)) % 1.11/1.32 (step @p748 :rule reordering :premises (@p747) :args ((or @t746 (not @t731) (not @t747)))) % 1.11/1.32 (step @p749 false :rule chain_m_resolution :premises (@p748 @p746 @p705 @p679) :args (false @t735 (@list @t745 @t747 @t731))) % 1.11/1.32 ) % 1.11/1.32 % SZS output end Proof % 1.11/1.33 % cvc5 exiting %------------------------------------------------------------------------------