%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM924+7 : 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 08:41:03 AM UTC 2026 % Result : Theorem 1.72s 1.96s % Output : Proof 1.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM924+7 : TPTP v9.2.1. Released v5.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 12:33:58 EDT 2026 % 0.17/0.34 % CPUTime : % 0.48/0.83 %----Proving TF0_NAR, FOF, or CNF % 1.72/1.96 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.72/1.96 % SZS status Theorem % 1.72/1.96 % SZS output start Proof % 1.72/1.96 ( % 1.72/1.96 (declare-sort $$unsorted 0) % 1.72/1.96 (declare-const tptp.ring_div (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.real_normed_algebra (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ordere223160158up_add (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ordere216010020id_add (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.comm_ring (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.linord893533164strict (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ordered_ring (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ordere453448008miring (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.comm_monoid_mult (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ring_n68954251visors (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ring_1 (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.linord626643107strict (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.zero_neq_one (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.semiri456707255roduct (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.semiring_0 (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.monoid_mult (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.linord219039673up_add (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.linordered_semidom (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ring_char_0 (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ab_group_add (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.linordered_ring (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.linord581940658strict (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.number_ring (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ring_11004092258visors (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.semiring_1 (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.s $$unsorted) % 1.72/1.96 (declare-const tptp.ordere236663937imp_le (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.s1 $$unsorted) % 1.72/1.96 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.mult_zero (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.number_semiring (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.semiring (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.comm_semiring (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ti (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.zero_zero (-> $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.monoid_add (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.bit0 (-> $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.linordered_semiring (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.power (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ab_semigroup_mult (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.linord1278240602ring_1 (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.times_times (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.pls $$unsorted) % 1.72/1.96 (declare-const tptp.cancel_semigroup_add (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.zero (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ab_semigroup_add (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.t $$unsorted) % 1.72/1.96 (declare-const tptp.int $$unsorted) % 1.72/1.96 (declare-const tptp.ordere779506340up_add (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.real $$unsorted) % 1.72/1.96 (declare-const tptp.ordere1490568538miring (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.combb (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.linorder (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ring (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.standardRes (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.multInv (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.dvd (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ordered_semiring (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ord_less_eq (-> $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.combc (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.one (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.bool $$unsorted) % 1.72/1.96 (declare-const tptp.idom (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.linordered_idom (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.plus_plus (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.comm_ring_1 (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.fconj $$unsorted) % 1.72/1.96 (declare-const tptp.combs (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.ordered_ab_group_add (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.comm_monoid_add (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.no_zero_divisors (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.linord20386208strict (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.div_mod (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.zcong (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.dvd_dvd (-> $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.nat $$unsorted) % 1.72/1.96 (declare-const tptp.fun (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.one_one (-> $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.cancel146912293up_add (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.order (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.wset (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.m $$unsorted) % 1.72/1.96 (declare-const tptp.semiring_div (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.comm_semiring_1 (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.minus_minus (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.d22set (-> $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.group_add (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.quadRes (-> $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.zfact (-> $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.zprime $$unsorted) % 1.72/1.96 (declare-const tptp.bit1 (-> $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.min $$unsorted) % 1.72/1.96 (declare-const tptp.undefined (-> $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.legendre (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.number_number_of (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.inv (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.number (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.ord_less (-> $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.sr (-> $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.power_power (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.member (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.product_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.product_prod (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.twoSqu658283162sum2sq $$unsorted) % 1.72/1.96 (declare-const tptp.plus (-> $$unsorted Bool)) % 1.72/1.96 (declare-const tptp.collect (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.96 (declare-const tptp.twoSqu1929807760sum2sq (-> $$unsorted $$unsorted)) % 1.72/1.96 (define @t1 () (@var "B_2_1" $$unsorted)) % 1.72/1.96 (define @t2 () (@var "B_1_1" $$unsorted)) % 1.72/1.96 (define @t3 () (@var "X_a" $$unsorted)) % 1.72/1.96 (define @t4 () (@var "X_c" $$unsorted)) % 1.72/1.96 (define @t5 () (@var "X_b" $$unsorted)) % 1.72/1.96 (define @t6 () (tptp.combb @t5 @t4 @t3 @t2 @t1)) % 1.72/1.96 (define @t7 () (tptp.fun @t5 @t4)) % 1.72/1.96 (define @t8 () (@list @t5 @t4 @t3 @t2 @t1)) % 1.72/1.96 (define @t9 () (tptp.ti (tptp.fun @t3 @t5) @t1)) % 1.72/1.96 (define @t10 () (tptp.fun @t3 @t4)) % 1.72/1.96 (define @t11 () (@list @t3 @t4 @t5 @t2 @t1)) % 1.72/1.96 (define @t12 () (tptp.combc @t3 @t5 @t4 @t2 @t1)) % 1.72/1.96 (define @t13 () (tptp.ti (tptp.fun @t3 @t7) @t2)) % 1.72/1.96 (define @t14 () (@list @t3 @t5 @t4 @t2 @t1)) % 1.72/1.96 (define @t15 () (tptp.combs @t3 @t5 @t4 @t2 @t1)) % 1.72/1.96 (define @t16 () (tptp.div_mod @t3 @t2)) % 1.72/1.96 (define @t17 () (tptp.ti @t3 @t2)) % 1.72/1.96 (define @t18 () (tptp.semiring_div @t3)) % 1.72/1.96 (define @t19 () (@list @t2 @t3)) % 1.72/1.96 (define @t20 () (tptp.fun @t3 @t3)) % 1.72/1.96 (define @t21 () (tptp.minus_minus @t3 @t2)) % 1.72/1.96 (define @t22 () (tptp.group_add @t3)) % 1.72/1.96 (define @t23 () (tptp.minus_minus tptp.nat @t2)) % 1.72/1.96 (define @t24 () (@list @t2)) % 1.72/1.96 (define @t25 () (tptp.one_one @t3)) % 1.72/1.96 (define @t26 () (tptp.one @t3)) % 1.72/1.96 (define @t27 () (@list @t3)) % 1.72/1.96 (define @t28 () (tptp.plus_plus @t3 @t2)) % 1.72/1.96 (define @t29 () (= (tptp.plus_plus @t3 @t17) @t28)) % 1.72/1.96 (define @t30 () (tptp.dvd @t3)) % 1.72/1.96 (define @t31 () (tptp.linorder @t3)) % 1.72/1.96 (define @t32 () (and (tptp.plus @t3) @t31 @t30)) % 1.72/1.96 (define @t33 () (= (tptp.ti @t20 @t28) @t28)) % 1.72/1.96 (define @t34 () (tptp.monoid_add @t3)) % 1.72/1.96 (define @t35 () (tptp.cancel_semigroup_add @t3)) % 1.72/1.96 (define @t36 () (tptp.ab_semigroup_add @t3)) % 1.72/1.96 (define @t37 () (tptp.times_times @t3 @t2)) % 1.72/1.96 (define @t38 () (= (tptp.times_times @t3 @t17) @t37)) % 1.72/1.96 (define @t39 () (tptp.ab_semigroup_mult @t3)) % 1.72/1.96 (define @t40 () (= (tptp.ti @t20 @t37) @t37)) % 1.72/1.96 (define @t41 () (tptp.power @t3)) % 1.72/1.96 (define @t42 () (tptp.semiring @t3)) % 1.72/1.96 (define @t43 () (tptp.mult_zero @t3)) % 1.72/1.96 (define @t44 () (tptp.no_zero_divisors @t3)) % 1.72/1.96 (define @t45 () (tptp.zero_zero @t3)) % 1.72/1.96 (define @t46 () (tptp.zero @t3)) % 1.72/1.96 (define @t47 () (tptp.undefined @t3)) % 1.72/1.96 (define @t48 () (tptp.multInv @t2 @t1)) % 1.72/1.96 (define @t49 () (tptp.ti tptp.int @t2)) % 1.72/1.96 (define @t50 () (@list @t2 @t1)) % 1.72/1.96 (define @t51 () (tptp.ti tptp.int @t1)) % 1.72/1.96 (define @t52 () (tptp.d22set @t2)) % 1.72/1.96 (define @t53 () (tptp.fun tptp.int tptp.bool)) % 1.72/1.96 (define @t54 () (tptp.zfact @t2)) % 1.72/1.96 (define @t55 () (tptp.zcong @t2 @t1)) % 1.72/1.96 (define @t56 () (tptp.bit0 @t2)) % 1.72/1.96 (define @t57 () (tptp.bit1 @t2)) % 1.72/1.96 (define @t58 () (tptp.number_number_of @t3 @t2)) % 1.72/1.96 (define @t59 () (tptp.number @t3)) % 1.72/1.96 (define @t60 () (tptp.ord_less @t3)) % 1.72/1.96 (define @t61 () (tptp.fun @t3 tptp.bool)) % 1.72/1.96 (define @t62 () (tptp.fun @t3 @t61)) % 1.72/1.96 (define @t63 () (tptp.order @t3)) % 1.72/1.96 (define @t64 () (tptp.ord_less_eq @t3)) % 1.72/1.96 (define @t65 () (tptp.power_power @t3 @t2)) % 1.72/1.96 (define @t66 () (tptp.product_Pair tptp.int tptp.int @t2 @t1)) % 1.72/1.96 (define @t67 () (tptp.product_prod tptp.int tptp.int)) % 1.72/1.96 (define @t68 () (tptp.legendre @t2 @t1)) % 1.72/1.96 (define @t69 () (tptp.quadRes @t2)) % 1.72/1.96 (define @t70 () (tptp.sr @t2)) % 1.72/1.96 (define @t71 () (tptp.standardRes @t2 @t1)) % 1.72/1.96 (define @t72 () (tptp.dvd_dvd @t3)) % 1.72/1.96 (define @t73 () (tptp.collect @t3 @t2)) % 1.72/1.96 (define @t74 () (@list @t3 @t2)) % 1.72/1.96 (define @t75 () (tptp.twoSqu1929807760sum2sq @t2)) % 1.72/1.96 (define @t76 () (tptp.inv @t2 @t1)) % 1.72/1.96 (define @t77 () (tptp.wset @t2 @t1)) % 1.72/1.96 (define @t78 () (tptp.fun tptp.bool tptp.bool)) % 1.72/1.96 (define @t79 () (tptp.hAPP @t3 @t4 @t2 @t1)) % 1.72/1.96 (define @t80 () (@list @t3 @t4 @t2 @t1)) % 1.72/1.96 (define @t81 () (tptp.member @t3 @t2)) % 1.72/1.96 (define @t82 () (tptp.zero_zero tptp.int)) % 1.72/1.96 (define @t83 () (tptp.ord_less tptp.int)) % 1.72/1.96 (define @t84 () (tptp.hAPP tptp.int @t53 @t83 tptp.t)) % 1.72/1.96 (define @t85 () (tptp.one_one tptp.int)) % 1.72/1.96 (define @t86 () (tptp.bit1 tptp.pls)) % 1.72/1.96 (define @t87 () (tptp.bit0 @t86)) % 1.72/1.96 (define @t88 () (tptp.bit0 @t87)) % 1.72/1.96 (define @t89 () (tptp.times_times tptp.int (tptp.number_number_of tptp.int @t88))) % 1.72/1.96 (define @t90 () (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int @t89 tptp.m)) @t85)) % 1.72/1.96 (define @t91 () (tptp.times_times tptp.int @t90)) % 1.72/1.96 (define @t92 () (tptp.hAPP tptp.int tptp.int @t91 @t82)) % 1.72/1.96 (define @t93 () (tptp.hAPP tptp.int tptp.int @t91 tptp.t)) % 1.72/1.96 (define @t94 () (tptp.hAPP tptp.int @t53 @t83 @t93)) % 1.72/1.96 (define @t95 () (tptp.hAPP tptp.int tptp.bool @t94 @t92)) % 1.72/1.96 (define @t96 () (tptp.hBOOL @t95)) % 1.72/1.96 (define @t97 () (tptp.number_number_of tptp.nat @t87)) % 1.72/1.96 (define @t98 () (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int tptp.s) @t97)) % 1.72/1.96 (define @t99 () (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t98) @t85)) % 1.72/1.96 (define @t100 () (tptp.ord_less_eq tptp.int)) % 1.72/1.96 (define @t101 () (tptp.hAPP tptp.int @t53 @t100 @t85)) % 1.72/1.96 (define @t102 () (tptp.hAPP tptp.int @t53 @t83 @t82)) % 1.72/1.96 (define @t103 () (@var "Y" $$unsorted)) % 1.72/1.96 (define @t104 () (tptp.power_power @t3 @t103)) % 1.72/1.96 (define @t105 () (tptp.hAPP tptp.nat @t3 @t104 @t97)) % 1.72/1.96 (define @t106 () (@var "X_1" $$unsorted)) % 1.72/1.96 (define @t107 () (tptp.power_power @t3 @t106)) % 1.72/1.96 (define @t108 () (tptp.hAPP tptp.nat @t3 @t107 @t97)) % 1.72/1.96 (define @t109 () (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t108) @t105)) % 1.72/1.96 (define @t110 () (@list @t106 @t103)) % 1.72/1.96 (define @t111 () (tptp.linordered_idom @t3)) % 1.72/1.96 (define @t112 () (@var "Y_1" $$unsorted)) % 1.72/1.96 (define @t113 () (tptp.ti @t3 @t112)) % 1.72/1.96 (define @t114 () (= @t113 @t45)) % 1.72/1.96 (define @t115 () (@var "X" $$unsorted)) % 1.72/1.96 (define @t116 () (tptp.ti @t3 @t115)) % 1.72/1.96 (define @t117 () (= @t116 @t45)) % 1.72/1.96 (define @t118 () (or (not @t117) (not @t114))) % 1.72/1.96 (define @t119 () (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP tptp.nat @t3 (tptp.power_power @t3 @t115) @t97)) (tptp.hAPP tptp.nat @t3 (tptp.power_power @t3 @t112) @t97))) % 1.72/1.96 (define @t120 () (tptp.hAPP @t3 @t61 @t60 @t45)) % 1.72/1.96 (define @t121 () (@list @t115 @t112)) % 1.72/1.96 (define @t122 () (and @t117 @t114)) % 1.72/1.96 (define @t123 () (@var "A_1" $$unsorted)) % 1.72/1.96 (define @t124 () (tptp.power_power @t3 @t123)) % 1.72/1.96 (define @t125 () (tptp.hAPP tptp.nat @t3 @t124 @t97)) % 1.72/1.96 (define @t126 () (@list @t123)) % 1.72/1.96 (define @t127 () (@var "A_3" $$unsorted)) % 1.72/1.96 (define @t128 () (tptp.ti @t3 @t127)) % 1.72/1.96 (define @t129 () (= @t128 @t45)) % 1.72/1.96 (define @t130 () (tptp.power_power @t3 @t127)) % 1.72/1.96 (define @t131 () (tptp.hAPP tptp.nat @t3 @t130 @t97)) % 1.72/1.96 (define @t132 () (@list @t127)) % 1.72/1.96 (define @t133 () (tptp.power_power @t3 @t25)) % 1.72/1.96 (define @t134 () (tptp.semiring_1 @t3)) % 1.72/1.96 (define @t135 () (tptp.power_power @t3 @t45)) % 1.72/1.96 (define @t136 () (tptp.ring_11004092258visors @t3)) % 1.72/1.96 (define @t137 () (@var "W" $$unsorted)) % 1.72/1.96 (define @t138 () (tptp.number_number_of @t3 @t137)) % 1.72/1.96 (define @t139 () (tptp.plus_plus @t3 @t25)) % 1.72/1.96 (define @t140 () (tptp.hAPP @t3 @t3 @t139 @t138)) % 1.72/1.96 (define @t141 () (@list @t137)) % 1.72/1.96 (define @t142 () (tptp.number_ring @t3)) % 1.72/1.96 (define @t143 () (@var "V" $$unsorted)) % 1.72/1.96 (define @t144 () (tptp.plus_plus tptp.int @t143)) % 1.72/1.96 (define @t145 () (tptp.number_number_of @t3 @t143)) % 1.72/1.96 (define @t146 () (tptp.plus_plus @t3 @t145)) % 1.72/1.96 (define @t147 () (@var "T_4" $$unsorted)) % 1.72/1.96 (define @t148 () (forall (@list @t147) (not (= @t99 (tptp.hAPP tptp.int tptp.int @t91 @t147))))) % 1.72/1.96 (define @t149 () (not @t148)) % 1.72/1.96 (define @t150 () (tptp.hAPP tptp.int @t53 @t100 @t137)) % 1.72/1.96 (define @t151 () (@var "K_1" $$unsorted)) % 1.72/1.96 (define @t152 () (tptp.ti tptp.int @t151)) % 1.72/1.96 (define @t153 () (@list @t151)) % 1.72/1.96 (define @t154 () (@var "Z_1" $$unsorted)) % 1.72/1.96 (define @t155 () (tptp.times_times tptp.int @t137)) % 1.72/1.96 (define @t156 () (tptp.times_times tptp.int @t154)) % 1.72/1.96 (define @t157 () (@list @t154 @t137)) % 1.72/1.96 (define @t158 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t150 @t154))) % 1.72/1.96 (define @t159 () (tptp.hAPP tptp.int @t53 @t100 @t154)) % 1.72/1.96 (define @t160 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t159 @t137))) % 1.72/1.96 (define @t161 () (tptp.times_times tptp.int @t143)) % 1.72/1.96 (define @t162 () (tptp.hAPP tptp.int tptp.int @t161 @t137)) % 1.72/1.96 (define @t163 () (tptp.number_number_of tptp.int @t137)) % 1.72/1.96 (define @t164 () (tptp.number_number_of tptp.int @t143)) % 1.72/1.96 (define @t165 () (@list @t143 @t137)) % 1.72/1.96 (define @t166 () (@var "L" $$unsorted)) % 1.72/1.96 (define @t167 () (@var "K" $$unsorted)) % 1.72/1.96 (define @t168 () (tptp.hAPP tptp.int @t53 @t100 @t167)) % 1.72/1.96 (define @t169 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t168 @t166))) % 1.72/1.96 (define @t170 () (tptp.number_number_of tptp.int @t166)) % 1.72/1.96 (define @t171 () (tptp.number_number_of tptp.int @t167)) % 1.72/1.96 (define @t172 () (@list @t167 @t166)) % 1.72/1.96 (define @t173 () (tptp.hAPP tptp.int @t53 @t100 @t115)) % 1.72/1.96 (define @t174 () (tptp.number_number_of @t3 @t112)) % 1.72/1.96 (define @t175 () (tptp.number_number_of @t3 @t115)) % 1.72/1.96 (define @t176 () (tptp.hAPP @t3 @t61 @t64 @t175)) % 1.72/1.96 (define @t177 () (and @t142 @t111)) % 1.72/1.96 (define @t178 () (@var "Z3" $$unsorted)) % 1.72/1.96 (define @t179 () (@var "Z2" $$unsorted)) % 1.72/1.96 (define @t180 () (tptp.times_times tptp.int @t179)) % 1.72/1.96 (define @t181 () (@var "Z1" $$unsorted)) % 1.72/1.96 (define @t182 () (tptp.times_times tptp.int @t181)) % 1.72/1.96 (define @t183 () (@list @t181 @t179 @t178)) % 1.72/1.96 (define @t184 () (@var "I_1" $$unsorted)) % 1.72/1.96 (define @t185 () (tptp.hAPP tptp.int @t53 @t100 @t184)) % 1.72/1.96 (define @t186 () (@var "J_1" $$unsorted)) % 1.72/1.96 (define @t187 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t185 @t186))) % 1.72/1.96 (define @t188 () (@list @t151 @t184 @t186)) % 1.72/1.96 (define @t189 () (tptp.ti tptp.int @t154)) % 1.72/1.96 (define @t190 () (tptp.power_power tptp.int @t106)) % 1.72/1.96 (define @t191 () (tptp.hAPP tptp.nat tptp.int @t190 @t154)) % 1.72/1.96 (define @t192 () (tptp.hAPP tptp.nat tptp.int @t190 @t103)) % 1.72/1.96 (define @t193 () (tptp.plus_plus tptp.nat @t103)) % 1.72/1.96 (define @t194 () (tptp.hAPP tptp.nat tptp.nat @t193 @t154)) % 1.72/1.96 (define @t195 () (@list @t106 @t103 @t154)) % 1.72/1.96 (define @t196 () (@var "K2" $$unsorted)) % 1.72/1.96 (define @t197 () (@var "K1" $$unsorted)) % 1.72/1.96 (define @t198 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t197) @t196))) % 1.72/1.96 (define @t199 () (tptp.bit1 @t196)) % 1.72/1.96 (define @t200 () (tptp.bit1 @t197)) % 1.72/1.96 (define @t201 () (tptp.hAPP tptp.int @t53 @t100 @t200)) % 1.72/1.96 (define @t202 () (@list @t197 @t196)) % 1.72/1.96 (define @t203 () (tptp.bit1 @t166)) % 1.72/1.96 (define @t204 () (tptp.bit1 @t167)) % 1.72/1.96 (define @t205 () (tptp.hAPP tptp.int @t53 @t100 @t204)) % 1.72/1.96 (define @t206 () (tptp.hAPP tptp.int @t53 @t100 tptp.pls)) % 1.72/1.96 (define @t207 () (tptp.bit0 @t196)) % 1.72/1.96 (define @t208 () (tptp.bit0 @t197)) % 1.72/1.96 (define @t209 () (tptp.hAPP tptp.int @t53 @t100 @t208)) % 1.72/1.96 (define @t210 () (tptp.bit0 @t166)) % 1.72/1.96 (define @t211 () (tptp.bit0 @t167)) % 1.72/1.96 (define @t212 () (tptp.hAPP tptp.int @t53 @t100 @t211)) % 1.72/1.96 (define @t213 () (@var "W_1" $$unsorted)) % 1.72/1.96 (define @t214 () (tptp.ti tptp.int @t213)) % 1.72/1.96 (define @t215 () (@var "Z_2" $$unsorted)) % 1.72/1.96 (define @t216 () (tptp.ti tptp.int @t215)) % 1.72/1.96 (define @t217 () (tptp.hAPP tptp.int @t53 @t83 @t215)) % 1.72/1.96 (define @t218 () (tptp.plus_plus tptp.int @t151)) % 1.72/1.96 (define @t219 () (@var "V_3" $$unsorted)) % 1.72/1.96 (define @t220 () (tptp.hAPP tptp.int @t53 @t100 @t219)) % 1.72/1.96 (define @t221 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t220 tptp.pls))) % 1.72/1.96 (define @t222 () (tptp.zero_zero tptp.nat)) % 1.72/1.96 (define @t223 () (tptp.number_number_of tptp.nat @t219)) % 1.72/1.96 (define @t224 () (@list @t219)) % 1.72/1.96 (define @t225 () (@var "V_1" $$unsorted)) % 1.72/1.96 (define @t226 () (tptp.hAPP tptp.int tptp.int @t161 @t225)) % 1.72/1.96 (define @t227 () (tptp.number_number_of @t3 @t225)) % 1.72/1.96 (define @t228 () (tptp.times_times @t3 @t145)) % 1.72/1.96 (define @t229 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t206 @t225))) % 1.72/1.96 (define @t230 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t206 @t143))) % 1.72/1.96 (define @t231 () (@list @t225 @t143)) % 1.72/1.96 (define @t232 () (tptp.number_semiring @t3)) % 1.72/1.96 (define @t233 () (tptp.number_number_of @t3 @t162)) % 1.72/1.96 (define @t234 () (@list @t143 @t137 @t154)) % 1.72/1.96 (define @t235 () (tptp.hAPP @t3 @t3 @t228 @t138)) % 1.72/1.96 (define @t236 () (tptp.times_times @t3 @t115)) % 1.72/1.96 (define @t237 () (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 @t236 @t115)) (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t112) @t112))) % 1.72/1.96 (define @t238 () (tptp.linord581940658strict @t3)) % 1.72/1.96 (define @t239 () (tptp.times_times @t3 @t103)) % 1.72/1.96 (define @t240 () (tptp.times_times @t3 @t106)) % 1.72/1.96 (define @t241 () (tptp.hAPP @t3 @t3 @t240 @t106)) % 1.72/1.96 (define @t242 () (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t241) (tptp.hAPP @t3 @t3 @t239 @t103))) % 1.72/1.96 (define @t243 () (tptp.hAPP @t3 @t61 @t64 @t45)) % 1.72/1.96 (define @t244 () (tptp.linordered_ring @t3)) % 1.72/1.96 (define @t245 () (@list @t115)) % 1.72/1.96 (define @t246 () (@list @t112)) % 1.72/1.96 (define @t247 () (tptp.hAPP tptp.int @t53 @t83 tptp.pls)) % 1.72/1.96 (define @t248 () (tptp.ord_less tptp.nat)) % 1.72/1.96 (define @t249 () (tptp.fun tptp.nat tptp.bool)) % 1.72/1.96 (define @t250 () (tptp.hAPP tptp.nat @t249 @t248 @t222)) % 1.72/1.96 (define @t251 () (tptp.number_number_of @t3 @t219)) % 1.72/1.96 (define @t252 () (tptp.number_number_of @t3 @t213)) % 1.72/1.96 (define @t253 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t206 @t167))) % 1.72/1.96 (define @t254 () (@list @t167)) % 1.72/1.96 (define @t255 () (tptp.plus_plus tptp.int @t137)) % 1.72/1.96 (define @t256 () (tptp.hAPP tptp.int tptp.int @t255 @t154)) % 1.72/1.96 (define @t257 () (@var "Z_3" $$unsorted)) % 1.72/1.96 (define @t258 () (@var "W_2" $$unsorted)) % 1.72/1.96 (define @t259 () (tptp.number_number_of tptp.nat tptp.pls)) % 1.72/1.96 (define @t260 () (tptp.hAPP @t3 @t61 @t64 @t25)) % 1.72/1.96 (define @t261 () (tptp.one_one tptp.nat)) % 1.72/1.96 (define @t262 () (@var "L_1" $$unsorted)) % 1.72/1.96 (define @t263 () (tptp.times_times tptp.int @t151)) % 1.72/1.96 (define @t264 () (tptp.bit0 (tptp.hAPP tptp.int tptp.int @t263 @t262))) % 1.72/1.96 (define @t265 () (tptp.bit0 @t151)) % 1.72/1.96 (define @t266 () (@list @t151 @t262)) % 1.72/1.96 (define @t267 () (tptp.hAPP tptp.int @t53 @t83 @t167)) % 1.72/1.96 (define @t268 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t267 @t166))) % 1.72/1.96 (define @t269 () (@list @t154)) % 1.72/1.96 (define @t270 () (tptp.hAPP tptp.int tptp.int @t144 @t137)) % 1.72/1.96 (define @t271 () (tptp.plus_plus tptp.int @t164)) % 1.72/1.96 (define @t272 () (tptp.hAPP tptp.int tptp.int @t180 @t137)) % 1.72/1.96 (define @t273 () (tptp.hAPP tptp.int tptp.int @t182 @t137)) % 1.72/1.96 (define @t274 () (tptp.plus_plus tptp.int @t181)) % 1.72/1.96 (define @t275 () (tptp.hAPP tptp.int tptp.int @t274 @t179)) % 1.72/1.96 (define @t276 () (@list @t181 @t179 @t137)) % 1.72/1.96 (define @t277 () (tptp.hAPP tptp.int tptp.int @t155 @t179)) % 1.72/1.96 (define @t278 () (tptp.hAPP tptp.int tptp.int @t155 @t181)) % 1.72/1.96 (define @t279 () (@list @t137 @t181 @t179)) % 1.72/1.96 (define @t280 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t267 tptp.pls))) % 1.72/1.96 (define @t281 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t197) @t196))) % 1.72/1.96 (define @t282 () (tptp.hAPP tptp.int @t53 @t83 @t208)) % 1.72/1.96 (define @t283 () (@var "A_6" $$unsorted)) % 1.72/1.96 (define @t284 () (@var "P_1" $$unsorted)) % 1.72/1.96 (define @t285 () (tptp.hAPP tptp.int @t53 @t83 @t211)) % 1.72/1.96 (define @t286 () (@var "V_2" $$unsorted)) % 1.72/1.96 (define @t287 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t219) @t286))) % 1.72/1.96 (define @t288 () (tptp.number_number_of tptp.nat @t286)) % 1.72/1.96 (define @t289 () (@list @t219 @t286)) % 1.72/1.96 (define @t290 () (@list @t215)) % 1.72/1.96 (define @t291 () (tptp.number_number_of tptp.nat @t86)) % 1.72/1.96 (define @t292 () (tptp.hAPP tptp.int @t53 @t83 @t213)) % 1.72/1.96 (define @t293 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t292 @t215))) % 1.72/1.96 (define @t294 () (@list @t213 @t215)) % 1.72/1.96 (define @t295 () (tptp.hAPP tptp.int @t53 @t100 @t213)) % 1.72/1.96 (define @t296 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t292 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t215) @t85)))) % 1.72/1.96 (define @t297 () (tptp.hAPP tptp.int tptp.int @t144 @t225)) % 1.72/1.96 (define @t298 () (tptp.number_number_of tptp.nat @t225)) % 1.72/1.96 (define @t299 () (tptp.number_number_of tptp.nat @t143)) % 1.72/1.96 (define @t300 () (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t299) @t298)) % 1.72/1.96 (define @t301 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t225) tptp.pls))) % 1.72/1.96 (define @t302 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t143) tptp.pls))) % 1.72/1.96 (define @t303 () (not @t302)) % 1.72/1.96 (define @t304 () (tptp.plus_plus tptp.int @t85)) % 1.72/1.96 (define @t305 () (tptp.hAPP tptp.int tptp.int @t304 @t154)) % 1.72/1.96 (define @t306 () (tptp.hAPP tptp.int @t53 @t100 @t82)) % 1.72/1.96 (define @t307 () (tptp.ti tptp.int @t115)) % 1.72/1.96 (define @t308 () (tptp.ti tptp.int @t166)) % 1.72/1.96 (define @t309 () (tptp.ti tptp.int @t167)) % 1.72/1.96 (define @t310 () (= @t309 @t308)) % 1.72/1.96 (define @t311 () (tptp.hAPP tptp.int @t53 @t83 @t103)) % 1.72/1.96 (define @t312 () (tptp.ti tptp.int @t103)) % 1.72/1.96 (define @t313 () (tptp.ti tptp.int @t106)) % 1.72/1.96 (define @t314 () (= @t313 @t312)) % 1.72/1.96 (define @t315 () (tptp.hAPP tptp.int @t53 @t83 @t106)) % 1.72/1.96 (define @t316 () (tptp.number_number_of @t5 @t143)) % 1.72/1.96 (define @t317 () (@var "B" $$unsorted)) % 1.72/1.96 (define @t318 () (tptp.hAPP @t5 @t5 (tptp.times_times @t5 @t317) @t316)) % 1.72/1.96 (define @t319 () (tptp.hAPP @t5 @t5 (tptp.times_times @t5 @t123) @t316)) % 1.72/1.96 (define @t320 () (@list @t123 @t317 @t143)) % 1.72/1.96 (define @t321 () (tptp.number @t5)) % 1.72/1.96 (define @t322 () (and @t321 (tptp.semiring @t5))) % 1.72/1.96 (define @t323 () (@list @t5)) % 1.72/1.96 (define @t324 () (@var "C" $$unsorted)) % 1.72/1.96 (define @t325 () (tptp.times_times @t5 @t316)) % 1.72/1.96 (define @t326 () (tptp.hAPP @t5 @t5 @t325 @t324)) % 1.72/1.96 (define @t327 () (tptp.hAPP @t5 @t5 @t325 @t317)) % 1.72/1.96 (define @t328 () (@list @t143 @t317 @t324)) % 1.72/1.96 (define @t329 () (tptp.plus_plus tptp.int @t106)) % 1.72/1.96 (define @t330 () (tptp.plus_plus tptp.int @t103)) % 1.72/1.96 (define @t331 () (tptp.plus_plus tptp.int @t154)) % 1.72/1.96 (define @t332 () (tptp.number_number_of tptp.int tptp.pls)) % 1.72/1.96 (define @t333 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t184) @t186))) % 1.72/1.96 (define @t334 () (tptp.ti @t3 @t106)) % 1.72/1.96 (define @t335 () (= @t334 (tptp.ti @t3 @t103))) % 1.72/1.96 (define @t336 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t103))) % 1.72/1.96 (define @t337 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t106))) % 1.72/1.96 (define @t338 () (tptp.linordered_semidom @t3)) % 1.72/1.96 (define @t339 () (tptp.hAPP @t3 @t61 @t64 @t106)) % 1.72/1.96 (define @t340 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t339 @t103))) % 1.72/1.96 (define @t341 () (tptp.hAPP @t3 @t61 @t60 @t106)) % 1.72/1.96 (define @t342 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t341 @t103))) % 1.72/1.96 (define @t343 () (tptp.ti @t3 @t123)) % 1.72/1.96 (define @t344 () (tptp.number_number_of @t3 @t86)) % 1.72/1.96 (define @t345 () (tptp.times_times @t3 @t123)) % 1.72/1.96 (define @t346 () (tptp.bit1 @t151)) % 1.72/1.96 (define @t347 () (@var "N" $$unsorted)) % 1.72/1.96 (define @t348 () (tptp.ti tptp.int @t347)) % 1.72/1.96 (define @t349 () (@var "Ma" $$unsorted)) % 1.72/1.96 (define @t350 () (tptp.ti tptp.int @t349)) % 1.72/1.96 (define @t351 () (and (= @t350 @t85) (= @t348 @t85))) % 1.72/1.96 (define @t352 () (tptp.times_times tptp.int @t349)) % 1.72/1.96 (define @t353 () (= (tptp.hAPP tptp.int tptp.int @t352 @t347) @t85)) % 1.72/1.96 (define @t354 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t349))) % 1.72/1.96 (define @t355 () (@list @t347 @t349)) % 1.72/1.96 (define @t356 () (tptp.plus_plus @t3 @t127)) % 1.72/1.96 (define @t357 () (tptp.hAPP @t3 @t3 @t356 @t127)) % 1.72/1.96 (define @t358 () (tptp.linord219039673up_add @t3)) % 1.72/1.96 (define @t359 () (tptp.bit1 @t262)) % 1.72/1.96 (define @t360 () (@list @t262)) % 1.72/1.96 (define @t361 () (tptp.bit0 @t262)) % 1.72/1.96 (define @t362 () (@list @t166)) % 1.72/1.96 (define @t363 () (tptp.hAPP tptp.int @t53 @t83 @t200)) % 1.72/1.96 (define @t364 () (tptp.hAPP tptp.int @t53 @t83 @t204)) % 1.72/1.96 (define @t365 () (tptp.hAPP tptp.int tptp.int @t218 @t262)) % 1.72/1.96 (define @t366 () (tptp.plus_plus tptp.int @t265)) % 1.72/1.96 (define @t367 () (tptp.bit0 @t137)) % 1.72/1.96 (define @t368 () (tptp.number_number_of @t3 @t367)) % 1.72/1.96 (define @t369 () (tptp.hAPP @t3 @t3 @t139 @t25)) % 1.72/1.96 (define @t370 () (tptp.times_times @t3 @t369)) % 1.72/1.96 (define @t371 () (tptp.hAPP @t3 @t3 @t345 @t123)) % 1.72/1.96 (define @t372 () (tptp.bit1 @t86)) % 1.72/1.96 (define @t373 () (tptp.number_number_of tptp.nat @t372)) % 1.72/1.96 (define @t374 () (tptp.monoid_mult @t3)) % 1.72/1.96 (define @t375 () (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t154) @t154)) % 1.72/1.96 (define @t376 () (tptp.number_number_of @t3 @t87)) % 1.72/1.96 (define @t377 () (tptp.times_times @t3 @t376)) % 1.72/1.96 (define @t378 () (forall @t269 (= (tptp.hAPP @t3 @t3 @t377 @t154) @t375))) % 1.72/1.96 (define @t379 () (forall @t269 (= (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t154) @t376) @t375))) % 1.72/1.96 (define @t380 () (tptp.hAPP @t3 @t61 @t60 @t127)) % 1.72/1.96 (define @t381 () (forall @t132 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t357) @t45)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t380 @t45))))) % 1.72/1.96 (define @t382 () (tptp.number_number_of @t3 tptp.pls)) % 1.72/1.96 (define @t383 () (= @t382 @t45)) % 1.72/1.96 (define @t384 () (tptp.plus_plus @t3 @t123)) % 1.72/1.96 (define @t385 () (tptp.hAPP tptp.int @t53 @t83 @t115)) % 1.72/1.96 (define @t386 () (tptp.hAPP @t3 @t61 @t60 @t175)) % 1.72/1.96 (define @t387 () (tptp.number_number_of @t3 @t270)) % 1.72/1.96 (define @t388 () (tptp.hAPP @t3 @t3 @t146 @t138)) % 1.72/1.96 (define @t389 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t292 @t82))) % 1.72/1.96 (define @t390 () (@list @t213)) % 1.72/1.96 (define @t391 () (tptp.bit1 @t365)) % 1.72/1.96 (define @t392 () (tptp.number_number_of @t5 @t137)) % 1.72/1.96 (define @t393 () (tptp.hAPP @t3 @t3 (tptp.times_times @t3 (tptp.hAPP @t3 @t3 @t377 @t106)) @t103)) % 1.72/1.96 (define @t394 () (tptp.plus_plus @t3 @t106)) % 1.72/1.96 (define @t395 () (tptp.hAPP @t3 @t3 @t394 @t103)) % 1.72/1.96 (define @t396 () (tptp.plus_plus @t3 @t45)) % 1.72/1.96 (define @t397 () (= @t344 @t25)) % 1.72/1.96 (define @t398 () (= @t369 @t376)) % 1.72/1.96 (define @t399 () (tptp.hAPP @t3 @t61 @t60 @t25)) % 1.72/1.96 (define @t400 () (tptp.dvd_dvd tptp.int)) % 1.72/1.96 (define @t401 () (tptp.hAPP tptp.int @t53 @t400 @t90)) % 1.72/1.96 (define @t402 () (tptp.power_power tptp.int @t317)) % 1.72/1.96 (define @t403 () (tptp.hAPP tptp.nat tptp.int @t402 @t373)) % 1.72/1.96 (define @t404 () (tptp.hAPP tptp.nat tptp.int @t402 @t97)) % 1.72/1.96 (define @t405 () (tptp.number_number_of tptp.int @t372)) % 1.72/1.96 (define @t406 () (tptp.times_times tptp.int @t405)) % 1.72/1.96 (define @t407 () (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int (tptp.hAPP tptp.int tptp.int @t406 @t123)) @t404)) % 1.72/1.96 (define @t408 () (tptp.power_power tptp.int @t123)) % 1.72/1.96 (define @t409 () (tptp.hAPP tptp.nat tptp.int @t408 @t97)) % 1.72/1.96 (define @t410 () (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int (tptp.hAPP tptp.int tptp.int @t406 @t409)) @t317)) % 1.72/1.96 (define @t411 () (tptp.hAPP tptp.nat tptp.int @t408 @t373)) % 1.72/1.96 (define @t412 () (tptp.plus_plus tptp.int @t123)) % 1.72/1.96 (define @t413 () (tptp.hAPP tptp.int tptp.int @t412 @t317)) % 1.72/1.96 (define @t414 () (tptp.power_power tptp.int @t413)) % 1.72/1.96 (define @t415 () (@list @t123 @t317)) % 1.72/1.96 (define @t416 () (tptp.number_number_of tptp.int @t87)) % 1.72/1.96 (define @t417 () (tptp.times_times tptp.int @t416)) % 1.72/1.96 (define @t418 () (tptp.hAPP tptp.int tptp.int @t417 @t123)) % 1.72/1.96 (define @t419 () (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t418) @t317)) % 1.72/1.96 (define @t420 () (= @t313 @t82)) % 1.72/1.96 (define @t421 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t106))) % 1.72/1.96 (define @t422 () (@list @t106)) % 1.72/1.96 (define @t423 () (tptp.times_times tptp.int @t123)) % 1.72/1.96 (define @t424 () (tptp.hAPP tptp.nat tptp.int @t190 @t97)) % 1.72/1.96 (define @t425 () (@var "Q_1" $$unsorted)) % 1.72/1.96 (define @t426 () (@var "R_1" $$unsorted)) % 1.72/1.96 (define @t427 () (tptp.hAPP tptp.int @t53 @t83 @t426)) % 1.72/1.96 (define @t428 () (tptp.hAPP tptp.int tptp.int @t423 @t425)) % 1.72/1.96 (define @t429 () (tptp.ti tptp.int @t123)) % 1.72/1.96 (define @t430 () (= @t429 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t426) @t428))) % 1.72/1.96 (define @t431 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t123))) % 1.72/1.96 (define @t432 () (@list @t426 @t425 @t123)) % 1.72/1.96 (define @t433 () (tptp.hAPP tptp.int @t53 @t100 @t425)) % 1.72/1.96 (define @t434 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t426))) % 1.72/1.96 (define @t435 () (@var "N_1" $$unsorted)) % 1.72/1.96 (define @t436 () (tptp.hAPP tptp.nat @t3 @t107 @t435)) % 1.72/1.96 (define @t437 () (tptp.times_times tptp.nat @t97)) % 1.72/1.96 (define @t438 () (tptp.hAPP tptp.nat tptp.nat @t437 @t435)) % 1.72/1.96 (define @t439 () (@list @t106 @t435)) % 1.72/1.96 (define @t440 () (tptp.comm_semiring_1 @t3)) % 1.72/1.96 (define @t441 () (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int tptp.s1) @t97)) % 1.72/1.96 (define @t442 () (@var "X_2" $$unsorted)) % 1.72/1.96 (define @t443 () (@var "Y_2" $$unsorted)) % 1.72/1.96 (define @t444 () (= (tptp.ti tptp.int @t443) (tptp.ti tptp.int @t442))) % 1.72/1.96 (define @t445 () (tptp.hAPP tptp.int @t53 @t83 @t443)) % 1.72/1.96 (define @t446 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t443))) % 1.72/1.96 (define @t447 () (@list @t443)) % 1.72/1.96 (define @t448 () (tptp.hAPP tptp.int @t53 @t83 @t442)) % 1.72/1.96 (define @t449 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t442))) % 1.72/1.96 (define @t450 () (@list @t442)) % 1.72/1.96 (define @t451 () (@var "S_1" $$unsorted)) % 1.72/1.96 (define @t452 () (tptp.number_number_of tptp.int tptp.min)) % 1.72/1.96 (define @t453 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t115))) % 1.72/1.96 (define @t454 () (= @t347 @t222)) % 1.72/1.96 (define @t455 () (tptp.power_power tptp.nat @t115)) % 1.72/1.96 (define @t456 () (tptp.hAPP tptp.nat tptp.nat @t455 @t347)) % 1.72/1.96 (define @t457 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t456))) % 1.72/1.96 (define @t458 () (@list @t115 @t347)) % 1.72/1.96 (define @t459 () (@var "P_3" $$unsorted)) % 1.72/1.96 (define @t460 () (tptp.hAPP tptp.int @t53 @t400 @t459)) % 1.72/1.96 (define @t461 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t460 @t123))) % 1.72/1.96 (define @t462 () (tptp.hAPP tptp.nat tptp.int @t408 @t435)) % 1.72/1.96 (define @t463 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime @t459))) % 1.72/1.96 (define @t464 () (tptp.times_times tptp.nat @t459)) % 1.72/1.96 (define @t465 () (tptp.hAPP tptp.nat @t3 @t107 @t459)) % 1.72/1.96 (define @t466 () (@list @t106 @t459 @t425)) % 1.72/1.96 (define @t467 () (tptp.hAPP tptp.int @t53 @t400 (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int @t459) @t435))) % 1.72/1.96 (define @t468 () (tptp.hAPP tptp.int tptp.int @t423 @t317)) % 1.72/1.96 (define @t469 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t467 @t468))) % 1.72/1.96 (define @t470 () (tptp.hAPP tptp.nat tptp.int @t190 (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t103) @t154))) % 1.72/1.96 (define @t471 () (@var "M" $$unsorted)) % 1.72/1.96 (define @t472 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t400 @t435) @t471))) % 1.72/1.96 (define @t473 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t471))) % 1.72/1.96 (define @t474 () (@list @t435 @t471)) % 1.72/1.96 (define @t475 () (tptp.ti tptp.int @t471)) % 1.72/1.96 (define @t476 () (tptp.hAPP tptp.int @t53 @t400 @t471)) % 1.72/1.96 (define @t477 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t476 @t435))) % 1.72/1.96 (define @t478 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t471))) % 1.72/1.96 (define @t479 () (@list @t151 @t471 @t435)) % 1.72/1.96 (define @t480 () (tptp.hAPP tptp.int @t53 @t400 @t167)) % 1.72/1.96 (define @t481 () (tptp.times_times tptp.int @t167)) % 1.72/1.96 (define @t482 () (tptp.hAPP tptp.int tptp.int @t481 @t349)) % 1.72/1.96 (define @t483 () (@var "Ta" $$unsorted)) % 1.72/1.96 (define @t484 () (@var "D" $$unsorted)) % 1.72/1.96 (define @t485 () (@var "C_1" $$unsorted)) % 1.72/1.96 (define @t486 () (tptp.plus_plus tptp.int @t115)) % 1.72/1.96 (define @t487 () (tptp.hAPP tptp.int @t53 @t400 @t127)) % 1.72/1.96 (define @t488 () (tptp.times_times tptp.int @t106)) % 1.72/1.96 (define @t489 () (tptp.hAPP tptp.int tptp.int @t488 @t103)) % 1.72/1.96 (define @t490 () (@list @t103 @t106)) % 1.72/1.96 (define @t491 () (tptp.ord_less_eq tptp.nat)) % 1.72/1.96 (define @t492 () (@var "Ry" $$unsorted)) % 1.72/1.96 (define @t493 () (@var "Ly" $$unsorted)) % 1.72/1.96 (define @t494 () (tptp.times_times @t3 @t493)) % 1.72/1.96 (define @t495 () (@var "Rx" $$unsorted)) % 1.72/1.96 (define @t496 () (@var "Lx" $$unsorted)) % 1.72/1.96 (define @t497 () (tptp.times_times @t3 @t496)) % 1.72/1.96 (define @t498 () (tptp.times_times @t3 (tptp.hAPP @t3 @t3 @t497 @t495))) % 1.72/1.96 (define @t499 () (tptp.times_times @t3 @t495)) % 1.72/1.96 (define @t500 () (tptp.hAPP @t3 @t3 @t499 @t492)) % 1.72/1.96 (define @t501 () (tptp.times_times @t3 (tptp.hAPP @t3 @t3 @t497 @t493))) % 1.72/1.96 (define @t502 () (tptp.hAPP @t3 @t3 @t501 @t500)) % 1.72/1.96 (define @t503 () (@list @t496 @t493 @t495 @t492)) % 1.72/1.96 (define @t504 () (tptp.hAPP @t3 @t3 @t501 @t495)) % 1.72/1.96 (define @t505 () (@list @t496 @t493 @t495)) % 1.72/1.96 (define @t506 () (tptp.hAPP @t3 @t3 @t497 @t500)) % 1.72/1.96 (define @t507 () (@list @t496 @t495 @t492)) % 1.72/1.96 (define @t508 () (tptp.times_times @t3 @t317)) % 1.72/1.96 (define @t509 () (tptp.hAPP @t3 @t3 @t508 @t123)) % 1.72/1.96 (define @t510 () (tptp.hAPP @t3 @t3 @t345 @t317)) % 1.72/1.96 (define @t511 () (tptp.plus_plus @t3 @t324)) % 1.72/1.96 (define @t512 () (tptp.hAPP @t3 @t3 @t511 @t123)) % 1.72/1.96 (define @t513 () (tptp.hAPP @t3 @t3 @t384 @t324)) % 1.72/1.96 (define @t514 () (@var "D_2" $$unsorted)) % 1.72/1.96 (define @t515 () (tptp.hAPP @t3 @t3 @t511 @t514)) % 1.72/1.96 (define @t516 () (tptp.hAPP @t3 @t3 @t384 @t515)) % 1.72/1.96 (define @t517 () (@list @t123 @t324 @t514)) % 1.72/1.96 (define @t518 () (tptp.plus_plus @t3 @t513)) % 1.72/1.96 (define @t519 () (tptp.plus_plus @t3 @t317)) % 1.72/1.96 (define @t520 () (tptp.hAPP @t3 @t3 @t519 @t324)) % 1.72/1.96 (define @t521 () (tptp.hAPP @t3 @t3 @t384 @t317)) % 1.72/1.96 (define @t522 () (tptp.plus_plus @t3 @t521)) % 1.72/1.96 (define @t523 () (tptp.hAPP @t3 @t3 @t522 @t324)) % 1.72/1.96 (define @t524 () (@list @t123 @t317 @t324)) % 1.72/1.96 (define @t525 () (forall @t524 (= @t523 (tptp.hAPP @t3 @t3 @t384 @t520)))) % 1.72/1.96 (define @t526 () (tptp.hAPP @t3 @t3 @t519 @t514)) % 1.72/1.96 (define @t527 () (tptp.number_number_of tptp.nat @t213)) % 1.72/1.96 (define @t528 () (= @t527 @t222)) % 1.72/1.96 (define @t529 () (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t154) @t154)) % 1.72/1.96 (define @t530 () (tptp.number_number_of tptp.nat @t226)) % 1.72/1.96 (define @t531 () (tptp.times_times tptp.nat @t299)) % 1.72/1.96 (define @t532 () (tptp.hAPP tptp.nat tptp.nat @t531 @t298)) % 1.72/1.96 (define @t533 () (tptp.hAPP tptp.nat tptp.nat @t531 (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t298) @t151))) % 1.72/1.96 (define @t534 () (tptp.hAPP tptp.nat @t3 @t124 @t435)) % 1.72/1.96 (define @t535 () (tptp.hAPP tptp.nat @t3 @t124 @t438)) % 1.72/1.96 (define @t536 () (@list @t123 @t435)) % 1.72/1.96 (define @t537 () (= @t343 @t45)) % 1.72/1.96 (define @t538 () (tptp.times_times @t3 @t45)) % 1.72/1.96 (define @t539 () (forall @t126 (= (tptp.hAPP @t3 @t3 @t538 @t123) @t45))) % 1.72/1.96 (define @t540 () (tptp.hAPP @t3 @t3 @t345 @t45)) % 1.72/1.96 (define @t541 () (forall @t126 (= @t540 @t45))) % 1.72/1.96 (define @t542 () (=> @t440 @t541)) % 1.72/1.96 (define @t543 () (forall @t27 @t542)) % 1.72/1.96 (define @t544 () (forall @t126 (= (tptp.hAPP @t3 @t3 @t396 @t123) @t343))) % 1.72/1.96 (define @t545 () (forall @t126 (= (tptp.hAPP @t3 @t3 @t384 @t45) @t343))) % 1.72/1.96 (define @t546 () (@var "B_2" $$unsorted)) % 1.72/1.96 (define @t547 () (tptp.plus_plus @t3 @t546)) % 1.72/1.96 (define @t548 () (tptp.hAPP @t3 @t3 @t547 @t127)) % 1.72/1.96 (define @t549 () (tptp.ti @t3 @t546)) % 1.72/1.96 (define @t550 () (@list @t546 @t127)) % 1.72/1.96 (define @t551 () (tptp.semiri456707255roduct @t3)) % 1.72/1.96 (define @t552 () (tptp.hAPP @t3 @t3 @t240 @t103)) % 1.72/1.96 (define @t553 () (tptp.times_times @t3 @t546)) % 1.72/1.96 (define @t554 () (tptp.hAPP @t3 @t3 @t553 @t485)) % 1.72/1.96 (define @t555 () (tptp.times_times @t3 @t127)) % 1.72/1.96 (define @t556 () (tptp.hAPP @t3 @t3 @t555 @t485)) % 1.72/1.96 (define @t557 () (tptp.ti @t3 @t484)) % 1.72/1.96 (define @t558 () (tptp.ti @t3 @t485)) % 1.72/1.96 (define @t559 () (= @t558 @t557)) % 1.72/1.96 (define @t560 () (= @t128 @t549)) % 1.72/1.96 (define @t561 () (tptp.hAPP @t3 @t3 @t508 @t324)) % 1.72/1.96 (define @t562 () (tptp.hAPP @t3 @t3 @t345 @t324)) % 1.72/1.96 (define @t563 () (tptp.times_times @t3 @t521)) % 1.72/1.96 (define @t564 () (forall @t524 (= (tptp.hAPP @t3 @t3 @t563 @t324) (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t562) @t561)))) % 1.72/1.96 (define @t565 () (tptp.hAPP @t3 @t3 @t345 @t471)) % 1.72/1.96 (define @t566 () (tptp.plus_plus @t3 @t565)) % 1.72/1.96 (define @t567 () (@list @t123 @t471 @t317)) % 1.72/1.96 (define @t568 () (tptp.times_times @t3 @t213)) % 1.72/1.96 (define @t569 () (forall @t126 (= (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t25) @t123) @t343))) % 1.72/1.96 (define @t570 () (forall @t126 (= (tptp.hAPP @t3 @t3 @t345 @t25) @t343))) % 1.72/1.96 (define @t571 () (tptp.hAPP tptp.nat @t3 @t107 @t425)) % 1.72/1.96 (define @t572 () (tptp.times_times @t3 @t426)) % 1.72/1.96 (define @t573 () (tptp.ti @t3 @t324)) % 1.72/1.96 (define @t574 () (tptp.ti @t3 @t317)) % 1.72/1.96 (define @t575 () (= @t343 @t574)) % 1.72/1.96 (define @t576 () (tptp.plus_plus @t3 @t471)) % 1.72/1.96 (define @t577 () (@list @t471)) % 1.72/1.96 (define @t578 () (tptp.hAPP @t3 @t3 @t384 @t25)) % 1.72/1.96 (define @t579 () (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t578) @t471)) % 1.72/1.96 (define @t580 () (@list @t471 @t123)) % 1.72/1.96 (define @t581 () (@list @t123 @t471)) % 1.72/1.96 (define @t582 () (tptp.zero_neq_one @t3)) % 1.72/1.96 (define @t583 () (and @t41 @t43 @t44 @t582)) % 1.72/1.96 (define @t584 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t317))) % 1.72/1.96 (define @t585 () (@list @t317 @t123)) % 1.72/1.96 (define @t586 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t103))) % 1.72/1.96 (define @t587 () (tptp.number_number_of tptp.nat @t137)) % 1.72/1.96 (define @t588 () (tptp.hAPP tptp.nat @t3 @t135 @t587)) % 1.72/1.96 (define @t589 () (= @t587 @t222)) % 1.72/1.96 (define @t590 () (tptp.semiring_0 @t3)) % 1.72/1.96 (define @t591 () (and @t41 @t590)) % 1.72/1.96 (define @t592 () (@var "Q_4" $$unsorted)) % 1.72/1.96 (define @t593 () (@var "B_3" $$unsorted)) % 1.72/1.96 (define @t594 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t593))) % 1.72/1.96 (define @t595 () (@var "R_3" $$unsorted)) % 1.72/1.96 (define @t596 () (tptp.hAPP tptp.int @t53 @t83 @t595)) % 1.72/1.96 (define @t597 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t596 @t593))) % 1.72/1.96 (define @t598 () (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t593) @t592)) @t595)) % 1.72/1.96 (define @t599 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t598))) % 1.72/1.96 (define @t600 () (@list @t593 @t592 @t595)) % 1.72/1.96 (define @t601 () (tptp.hAPP tptp.int @t53 @t100 @t592)) % 1.72/1.96 (define @t602 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t595))) % 1.72/1.96 (define @t603 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t598) @t82))) % 1.72/1.96 (define @t604 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t601 @t425))) % 1.72/1.96 (define @t605 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t427 @t317))) % 1.72/1.96 (define @t606 () (tptp.times_times tptp.int @t317)) % 1.72/1.96 (define @t607 () (tptp.hAPP tptp.int tptp.int @t606 @t425)) % 1.72/1.96 (define @t608 () (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t607) @t426)) % 1.72/1.96 (define @t609 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int @t606 @t592)) @t595)) @t608))) % 1.72/1.96 (define @t610 () (@list @t317 @t592 @t595 @t425 @t426)) % 1.72/1.96 (define @t611 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t433 @t592))) % 1.72/1.96 (define @t612 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t593) @t317))) % 1.72/1.96 (define @t613 () (= @t608 @t598)) % 1.72/1.96 (define @t614 () (@list @t317 @t425 @t426 @t593 @t592 @t595)) % 1.72/1.96 (define @t615 () (tptp.hAPP tptp.int @t53 @t83 @t317)) % 1.72/1.96 (define @t616 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t615 @t426))) % 1.72/1.96 (define @t617 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t426) @t82))) % 1.72/1.96 (define @t618 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t460 @t103))) % 1.72/1.96 (define @t619 () (tptp.power_power tptp.int @t103)) % 1.72/1.96 (define @t620 () (tptp.zcong @t106 @t82)) % 1.72/1.96 (define @t621 () (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t620 @t459)))) % 1.72/1.96 (define @t622 () (@list @t103 @t106 @t459)) % 1.72/1.96 (define @t623 () (@var "P_2" $$unsorted)) % 1.72/1.96 (define @t624 () (@var "M_2" $$unsorted)) % 1.72/1.96 (define @t625 () (tptp.ti tptp.int @t624)) % 1.72/1.96 (define @t626 () (tptp.hAPP tptp.int @t53 @t83 @t85)) % 1.72/1.96 (define @t627 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime @t623))) % 1.72/1.96 (define @t628 () (@list @t623)) % 1.72/1.96 (define @t629 () (tptp.hAPP tptp.int @t53 @t100 (tptp.number_number_of tptp.int (tptp.bit1 @t87)))) % 1.72/1.96 (define @t630 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t629 @t459))) % 1.72/1.96 (define @t631 () (tptp.ti tptp.int @t459)) % 1.72/1.96 (define @t632 () (@list @t459)) % 1.72/1.96 (define @t633 () (tptp.hAPP tptp.nat @t3 (tptp.power_power @t3 @t317) @t435)) % 1.72/1.96 (define @t634 () (tptp.hAPP @t3 @t61 @t60 @t534)) % 1.72/1.96 (define @t635 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t634 @t633))) % 1.72/1.96 (define @t636 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t435))) % 1.72/1.96 (define @t637 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t123))) % 1.72/1.96 (define @t638 () (tptp.hAPP @t3 @t61 @t60 @t123)) % 1.72/1.96 (define @t639 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t638 @t317))) % 1.72/1.96 (define @t640 () (@list @t435 @t123 @t317)) % 1.72/1.96 (define @t641 () (@var "U_1" $$unsorted)) % 1.72/1.96 (define @t642 () (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t641) @t106)) (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t143) @t103))) % 1.72/1.96 (define @t643 () (= (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t641) @t143) @t25)) % 1.72/1.96 (define @t644 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t143))) % 1.72/1.96 (define @t645 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t641))) % 1.72/1.96 (define @t646 () (tptp.hAPP @t3 @t61 @t60 @t103)) % 1.72/1.96 (define @t647 () (@list @t143 @t641 @t103 @t106 @t123)) % 1.72/1.96 (define @t648 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t460 (tptp.hAPP tptp.nat tptp.int @t619 @t435)))) % 1.72/1.96 (define @t649 () (tptp.hAPP @t3 @t61 @t72 @t123)) % 1.72/1.96 (define @t650 () (@var "S1" $$unsorted)) % 1.72/1.96 (define @t651 () (= (tptp.legendre @t452 @t90) @t85)) % 1.72/1.96 (define @t652 () (tptp.hAPP tptp.int @t53 @t83 tptp.min)) % 1.72/1.96 (define @t653 () (tptp.hAPP tptp.int @t53 @t100 tptp.min)) % 1.72/1.96 (define @t654 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t652 @t167))) % 1.72/1.96 (define @t655 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t168 tptp.min))) % 1.72/1.96 (define @t656 () (@list @t349 @t347)) % 1.72/1.96 (define @t657 () (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t471) @t435)) % 1.72/1.96 (define @t658 () (@list @t471 @t435)) % 1.72/1.96 (define @t659 () (not @t335)) % 1.72/1.96 (define @t660 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t649 @t324))) % 1.72/1.96 (define @t661 () (tptp.hAPP @t3 @t61 @t72 @t317)) % 1.72/1.96 (define @t662 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t661 @t324))) % 1.72/1.96 (define @t663 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t649 @t317))) % 1.72/1.96 (define @t664 () (@list @t324 @t123 @t317)) % 1.72/1.96 (define @t665 () (tptp.zcong @t127 @t546)) % 1.72/1.96 (define @t666 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t665 @t349))) % 1.72/1.96 (define @t667 () (@list @t127 @t546 @t349)) % 1.72/1.96 (define @t668 () (@list @t151 @t471)) % 1.72/1.96 (define @t669 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t324 @t514) @t471))) % 1.72/1.96 (define @t670 () (tptp.ti tptp.int @t324)) % 1.72/1.96 (define @t671 () (tptp.ti tptp.int @t317)) % 1.72/1.96 (define @t672 () (tptp.zcong @t123 @t317)) % 1.72/1.96 (define @t673 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t672 @t471))) % 1.72/1.96 (define @t674 () (@list @t324 @t123 @t317 @t471)) % 1.72/1.96 (define @t675 () (tptp.hAPP tptp.int @t53 @t83 @t416)) % 1.72/1.96 (define @t676 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t675 @t459))) % 1.72/1.96 (define @t677 () (@list @t106 @t459)) % 1.72/1.96 (define @t678 () (= @t574 @t45)) % 1.72/1.96 (define @t679 () (= @t510 @t45)) % 1.72/1.96 (define @t680 () (not @t537)) % 1.72/1.96 (define @t681 () (tptp.hAPP @t3 @t3 @t555 @t546)) % 1.72/1.96 (define @t682 () (@list @t127 @t546)) % 1.72/1.96 (define @t683 () (@var "E_1" $$unsorted)) % 1.72/1.96 (define @t684 () (@list @t435 @t123)) % 1.72/1.96 (define @t685 () (tptp.times_times @t3 @t534)) % 1.72/1.96 (define @t686 () (tptp.comm_monoid_mult @t3)) % 1.72/1.96 (define @t687 () (tptp.hAPP @t3 @t3 @t345 @t534)) % 1.72/1.96 (define @t688 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t649 @t561))) % 1.72/1.96 (define @t689 () (@list @t317 @t123 @t324)) % 1.72/1.96 (define @t690 () (tptp.hAPP @t3 @t3 @t508 @t514)) % 1.72/1.96 (define @t691 () (tptp.hAPP @t3 @t61 @t72 @t324)) % 1.72/1.96 (define @t692 () (@list @t324 @t514 @t123 @t317)) % 1.72/1.96 (define @t693 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t72 @t510) @t324))) % 1.72/1.96 (define @t694 () (@list @t435)) % 1.72/1.96 (define @t695 () (tptp.hAPP @t3 @t61 @t72 @t436)) % 1.72/1.96 (define @t696 () (tptp.hAPP @t3 @t61 @t72 @t106)) % 1.72/1.96 (define @t697 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t696 @t103))) % 1.72/1.96 (define @t698 () (@list @t435 @t106 @t103)) % 1.72/1.96 (define @t699 () (tptp.hAPP tptp.nat @t3 @t124 @t471)) % 1.72/1.96 (define @t700 () (tptp.hAPP @t3 @t61 @t72 @t699)) % 1.72/1.96 (define @t701 () (tptp.hAPP tptp.nat @t249 @t491 @t471)) % 1.72/1.96 (define @t702 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t701 @t435))) % 1.72/1.96 (define @t703 () (tptp.hAPP tptp.nat @t249 @t491 @t435)) % 1.72/1.96 (define @t704 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t703 @t471))) % 1.72/1.96 (define @t705 () (@list @t123 @t471 @t435)) % 1.72/1.96 (define @t706 () (tptp.hAPP tptp.nat @t249 @t248 @t471)) % 1.72/1.96 (define @t707 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t706 @t435))) % 1.72/1.96 (define @t708 () (tptp.power_power tptp.nat @t184)) % 1.72/1.96 (define @t709 () (tptp.hAPP tptp.nat tptp.nat @t708 @t435)) % 1.72/1.96 (define @t710 () (tptp.hAPP tptp.nat tptp.nat @t708 @t471)) % 1.72/1.96 (define @t711 () (tptp.times_times tptp.nat @t471)) % 1.72/1.96 (define @t712 () (tptp.hAPP tptp.nat tptp.nat @t711 @t435)) % 1.72/1.96 (define @t713 () (tptp.hAPP tptp.int @t53 @t100 @t123)) % 1.72/1.96 (define @t714 () (tptp.hAPP tptp.int @t53 @t83 @t123)) % 1.72/1.96 (define @t715 () (tptp.ti tptp.int @t546)) % 1.72/1.96 (define @t716 () (tptp.ti tptp.int @t127)) % 1.72/1.96 (define @t717 () (tptp.hAPP tptp.int tptp.int @t606 @t471)) % 1.72/1.96 (define @t718 () (tptp.hAPP tptp.int tptp.int @t423 @t471)) % 1.72/1.96 (define @t719 () (tptp.times_times tptp.int @t127)) % 1.72/1.96 (define @t720 () (@list @t485 @t484 @t127 @t546 @t349)) % 1.72/1.96 (define @t721 () (tptp.times_times tptp.int @t484)) % 1.72/1.96 (define @t722 () (@list @t151 @t123 @t317 @t471)) % 1.72/1.96 (define @t723 () (@list @t324 @t514 @t123 @t317 @t471)) % 1.72/1.96 (define @t724 () (tptp.plus_plus tptp.int @t317)) % 1.72/1.96 (define @t725 () (tptp.hAPP tptp.int tptp.int @t412 @t324)) % 1.72/1.96 (define @t726 () (tptp.zcong @t106 @t103)) % 1.72/1.96 (define @t727 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t726 @t471))) % 1.72/1.96 (define @t728 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t510) @t45))) % 1.72/1.96 (define @t729 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t317))) % 1.72/1.96 (define @t730 () (tptp.hAPP @t3 @t61 @t64 @t123)) % 1.72/1.96 (define @t731 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t730 @t45))) % 1.72/1.96 (define @t732 () (tptp.hAPP @t3 @t61 @t64 @t317)) % 1.72/1.96 (define @t733 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t732 @t45))) % 1.72/1.96 (define @t734 () (tptp.ordere453448008miring @t3)) % 1.72/1.96 (define @t735 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t510))) % 1.72/1.96 (define @t736 () (tptp.ordered_ring @t3)) % 1.72/1.96 (define @t737 () (tptp.hAPP @t3 @t61 @t64 @t562)) % 1.72/1.96 (define @t738 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t324))) % 1.72/1.96 (define @t739 () (=> @t738 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t737 @t690)))) % 1.72/1.96 (define @t740 () (tptp.hAPP @t3 @t61 @t64 @t324)) % 1.72/1.96 (define @t741 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t740 @t514))) % 1.72/1.96 (define @t742 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t730 @t317))) % 1.72/1.96 (define @t743 () (tptp.ordered_semiring @t3)) % 1.72/1.96 (define @t744 () (tptp.times_times @t3 @t324)) % 1.72/1.96 (define @t745 () (tptp.hAPP @t3 @t3 @t744 @t317)) % 1.72/1.96 (define @t746 () (tptp.hAPP @t3 @t3 @t744 @t123)) % 1.72/1.96 (define @t747 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t746) @t745))) % 1.72/1.96 (define @t748 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t740 @t45))) % 1.72/1.96 (define @t749 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t732 @t123))) % 1.72/1.96 (define @t750 () (@list @t324 @t317 @t123)) % 1.72/1.96 (define @t751 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t737 @t561))) % 1.72/1.96 (define @t752 () (forall @t664 (=> @t742 (=> @t738 @t747)))) % 1.72/1.96 (define @t753 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t546))) % 1.72/1.96 (define @t754 () (tptp.hAPP @t3 @t61 @t64 @t127)) % 1.72/1.96 (define @t755 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t754 @t45))) % 1.72/1.96 (define @t756 () (tptp.hAPP @t3 @t61 @t64 @t546)) % 1.72/1.96 (define @t757 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t756 @t45))) % 1.72/1.96 (define @t758 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t127))) % 1.72/1.96 (define @t759 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t746) @t745))) % 1.72/1.96 (define @t760 () (tptp.hAPP @t3 @t61 @t60 @t324)) % 1.72/1.96 (define @t761 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t760 @t45))) % 1.72/1.96 (define @t762 () (tptp.hAPP @t3 @t61 @t60 @t317)) % 1.72/1.96 (define @t763 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t762 @t123))) % 1.72/1.96 (define @t764 () (tptp.hAPP @t3 @t61 @t60 @t562)) % 1.72/1.96 (define @t765 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t764 @t561))) % 1.72/1.96 (define @t766 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t324))) % 1.72/1.96 (define @t767 () (forall @t664 (=> @t639 (=> @t766 @t759)))) % 1.72/1.96 (define @t768 () (tptp.linord20386208strict @t3)) % 1.72/1.96 (define @t769 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t510))) % 1.72/1.96 (define @t770 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t762 @t45))) % 1.72/1.96 (define @t771 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t638 @t45))) % 1.72/1.96 (define @t772 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t510) @t45))) % 1.72/1.96 (define @t773 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t317))) % 1.72/1.96 (define @t774 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t546) @t127))) % 1.72/1.96 (define @t775 () (tptp.times_times @t3 @t485)) % 1.72/1.96 (define @t776 () (tptp.hAPP @t3 @t3 @t775 @t546)) % 1.72/1.96 (define @t777 () (tptp.hAPP @t3 @t3 @t775 @t127)) % 1.72/1.96 (define @t778 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t777) @t776))) % 1.72/1.96 (define @t779 () (tptp.hAPP @t3 @t61 @t60 @t485)) % 1.72/1.96 (define @t780 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t779 @t45))) % 1.72/1.96 (define @t781 () (@list @t127 @t546 @t485)) % 1.72/1.96 (define @t782 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t123))) % 1.72/1.96 (define @t783 () (=> @t782 @t773)) % 1.72/1.96 (define @t784 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t380 @t546))) % 1.72/1.96 (define @t785 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t485))) % 1.72/1.96 (define @t786 () (or (and @t785 @t784) (and @t780 @t774))) % 1.72/1.96 (define @t787 () (@list @t485 @t127 @t546)) % 1.72/1.96 (define @t788 () (@list @t127 @t485 @t546)) % 1.72/1.96 (define @t789 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t762 @t513))) % 1.72/1.96 (define @t790 () (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t762 @t324)) @t789)) % 1.72/1.96 (define @t791 () (@list @t317 @t324 @t123)) % 1.72/1.96 (define @t792 () (tptp.hAPP @t3 @t61 @t64 @t534)) % 1.72/1.96 (define @t793 () (tptp.times_times @t3 @t471)) % 1.72/1.96 (define @t794 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t72 @t127) @t546))) % 1.72/1.96 (define @t795 () (or (= @t558 @t45) @t794)) % 1.72/1.96 (define @t796 () (tptp.idom @t3)) % 1.72/1.96 (define @t797 () (@var "N_3" $$unsorted)) % 1.72/1.96 (define @t798 () (tptp.hAPP tptp.nat @t3 @t124 @t797)) % 1.72/1.96 (define @t799 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t260 @t123))) % 1.72/1.96 (define @t800 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t703 @t797))) % 1.72/1.96 (define @t801 () (@list @t123 @t435 @t797)) % 1.72/1.96 (define @t802 () (= @t349 @t347)) % 1.72/1.96 (define @t803 () (tptp.hAPP tptp.nat @t3 @t130 @t347)) % 1.72/1.96 (define @t804 () (not @t454)) % 1.72/1.96 (define @t805 () (tptp.plus_plus tptp.nat @t471)) % 1.72/1.96 (define @t806 () (tptp.hAPP tptp.nat tptp.nat @t805 @t435)) % 1.72/1.96 (define @t807 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t615 @t123))) % 1.72/1.96 (define @t808 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t714 @t471))) % 1.72/1.96 (define @t809 () (@list @t317 @t471 @t123)) % 1.72/1.96 (define @t810 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t620 @t471))) % 1.72/1.96 (define @t811 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t315 @t471))) % 1.72/1.96 (define @t812 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t106))) % 1.72/1.96 (define @t813 () (@list @t471 @t106)) % 1.72/1.96 (define @t814 () (tptp.hAPP tptp.int @t53 @t100 @t435)) % 1.72/1.96 (define @t815 () (@var "K_2" $$unsorted)) % 1.72/1.96 (define @t816 () (@list @t815)) % 1.72/1.96 (define @t817 () (tptp.zcong @t115 @t82)) % 1.72/1.96 (define @t818 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t817 @t623))) % 1.72/1.96 (define @t819 () (@list @t115 @t623)) % 1.72/1.96 (define @t820 () (tptp.hAPP tptp.int @t53 @t400 @t349)) % 1.72/1.96 (define @t821 () (=> @t463 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t460 @t657)) (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t460 @t471)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t460 @t435)))))) % 1.72/1.96 (define @t822 () (=> @t766 @t742)) % 1.72/1.96 (define @t823 () (@list @t123 @t324 @t317)) % 1.72/1.96 (define @t824 () (=> @t738 @t639)) % 1.72/1.96 (define @t825 () (forall @t664 (=> @t759 @t824))) % 1.72/1.96 (define @t826 () (tptp.linordered_semiring @t3)) % 1.72/1.96 (define @t827 () (forall @t823 (=> @t765 @t824))) % 1.72/1.96 (define @t828 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t764 @t690))) % 1.72/1.96 (define @t829 () (=> @t738 @t828)) % 1.72/1.96 (define @t830 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t760 @t514))) % 1.72/1.96 (define @t831 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t777) @t776))) % 1.72/1.96 (define @t832 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t754 @t546))) % 1.72/1.96 (define @t833 () (tptp.hAPP @t3 @t61 @t64 @t103)) % 1.72/1.96 (define @t834 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t833 @t25))) % 1.72/1.96 (define @t835 () (@list @t123 @t435 @t317)) % 1.72/1.96 (define @t836 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t399 @t123))) % 1.72/1.96 (define @t837 () (@list @t471 @t435 @t123)) % 1.72/1.96 (define @t838 () (tptp.power_power @t3 @t546)) % 1.72/1.96 (define @t839 () (tptp.hAPP tptp.nat @t3 @t838 @t112)) % 1.72/1.96 (define @t840 () (tptp.hAPP tptp.nat @t3 @t838 @t115)) % 1.72/1.96 (define @t841 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t399 @t546))) % 1.72/1.96 (define @t842 () (@list @t115 @t112 @t546)) % 1.72/1.96 (define @t843 () (tptp.hAPP tptp.nat @t3 @t135 @t435)) % 1.72/1.96 (define @t844 () (= @t435 @t222)) % 1.72/1.96 (define @t845 () (not @t844)) % 1.72/1.96 (define @t846 () (tptp.hAPP tptp.nat @t249 @t248 @t435)) % 1.72/1.96 (define @t847 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t846 @t797))) % 1.72/1.96 (define @t848 () (tptp.number_number_of tptp.real @t87)) % 1.72/1.96 (define @t849 () (tptp.hAPP tptp.real tptp.real (tptp.times_times tptp.real @t848) @t106)) % 1.72/1.96 (define @t850 () (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t106) @t97)) % 1.72/1.96 (define @t851 () (tptp.zcong @t123 @t82)) % 1.72/1.96 (define @t852 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t123))) % 1.72/1.96 (define @t853 () (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t103 @t82) @t459)))) % 1.72/1.96 (define @t854 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t638 @t25))) % 1.72/1.96 (define @t855 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t317 @t82) @t459))) % 1.72/1.96 (define @t856 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t851 @t459))) % 1.72/1.96 (define @t857 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t468 @t82) @t459))) % 1.72/1.96 (define @t858 () (@list @t317 @t123 @t459)) % 1.72/1.96 (define @t859 () (not @t856)) % 1.72/1.96 (define @t860 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.quadRes @t90) @t452))) % 1.72/1.96 (define @t861 () (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t98) @t452)) % 1.72/1.96 (define @t862 () (tptp.power_power tptp.int @t452)) % 1.72/1.96 (define @t863 () (tptp.hAPP tptp.nat tptp.int @t862 @t151)) % 1.72/1.96 (define @t864 () (tptp.hAPP tptp.nat tptp.int @t862 @t186)) % 1.72/1.96 (define @t865 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t675 @t471))) % 1.72/1.96 (define @t866 () (tptp.zero_zero tptp.real)) % 1.72/1.96 (define @t867 () (= @t115 @t866)) % 1.72/1.96 (define @t868 () (tptp.times_times tptp.real @t115)) % 1.72/1.96 (define @t869 () (tptp.hAPP tptp.real tptp.real @t868 @t115)) % 1.72/1.96 (define @t870 () (tptp.ord_less tptp.real)) % 1.72/1.96 (define @t871 () (tptp.fun tptp.real tptp.bool)) % 1.72/1.96 (define @t872 () (tptp.hAPP tptp.real @t871 @t870 @t866)) % 1.72/1.96 (define @t873 () (tptp.minus_minus @t3 @t103)) % 1.72/1.96 (define @t874 () (@list @t154 @t106 @t103)) % 1.72/1.96 (define @t875 () (tptp.minus_minus tptp.int @t151)) % 1.72/1.96 (define @t876 () (tptp.hAPP tptp.int tptp.int @t875 @t262)) % 1.72/1.96 (define @t877 () (tptp.bit0 @t876)) % 1.72/1.96 (define @t878 () (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t181) @t179)) % 1.72/1.96 (define @t879 () (tptp.minus_minus tptp.int @t123)) % 1.72/1.96 (define @t880 () (tptp.hAPP tptp.int tptp.int @t879 @t317)) % 1.72/1.96 (define @t881 () (tptp.minus_minus tptp.int @t317)) % 1.72/1.96 (define @t882 () (tptp.hAPP tptp.int @t53 @t400 @t151)) % 1.72/1.97 (define @t883 () (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t882 @t435)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t882 @t471)))) % 1.72/1.97 (define @t884 () (@var "E" $$unsorted)) % 1.72/1.97 (define @t885 () (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 (tptp.times_times @t3 (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t546) @t127)) @t884)) @t484)) % 1.72/1.97 (define @t886 () (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 @t553 @t884)) @t484)) % 1.72/1.97 (define @t887 () (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 @t555 @t884)) @t485)) % 1.72/1.97 (define @t888 () (= @t887 @t886)) % 1.72/1.97 (define @t889 () (@list @t127 @t884 @t485 @t546 @t484)) % 1.72/1.97 (define @t890 () (tptp.ring @t3)) % 1.72/1.97 (define @t891 () (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t127) @t546)) % 1.72/1.97 (define @t892 () (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t891) @t884)) @t485)) % 1.72/1.97 (define @t893 () (and @t321 (tptp.ring @t5))) % 1.72/1.97 (define @t894 () (tptp.minus_minus tptp.int @t346)) % 1.72/1.97 (define @t895 () (tptp.minus_minus tptp.int tptp.pls)) % 1.72/1.97 (define @t896 () (tptp.minus_minus tptp.int @t167)) % 1.72/1.97 (define @t897 () (tptp.times_times tptp.int @t426)) % 1.72/1.97 (define @t898 () (tptp.minus_minus tptp.int @t127)) % 1.72/1.97 (define @t899 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t887) @t886))) % 1.72/1.97 (define @t900 () (tptp.hAPP @t3 @t61 @t64 @t485)) % 1.72/1.97 (define @t901 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t887) @t886))) % 1.72/1.97 (define @t902 () (tptp.hAPP tptp.int tptp.int @t879 @t85)) % 1.72/1.97 (define @t903 () (tptp.minus_minus tptp.int tptp.min)) % 1.72/1.97 (define @t904 () (tptp.hAPP tptp.int tptp.int @t903 @t262)) % 1.72/1.97 (define @t905 () (tptp.bit1 @t904)) % 1.72/1.97 (define @t906 () (tptp.minus_minus tptp.int @t623)) % 1.72/1.97 (define @t907 () (tptp.hAPP tptp.int tptp.int @t906 @t85)) % 1.72/1.97 (define @t908 () (tptp.dvd_dvd tptp.nat)) % 1.72/1.97 (define @t909 () (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t459) @t85)) % 1.72/1.97 (define @t910 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong (tptp.hAPP tptp.int tptp.int @t423 @t123) @t85) @t459))) % 1.72/1.97 (define @t911 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t714 @t459))) % 1.72/1.97 (define @t912 () (@list @t123 @t459)) % 1.72/1.97 (define @t913 () (tptp.minus_minus tptp.int @t409)) % 1.72/1.97 (define @t914 () (tptp.minus_minus @t3 @t106)) % 1.72/1.97 (define @t915 () (tptp.hAPP @t3 @t3 @t914 @t103)) % 1.72/1.97 (define @t916 () (tptp.power_power tptp.int @t880)) % 1.72/1.97 (define @t917 () (tptp.hAPP tptp.nat tptp.int @t862 @t435)) % 1.72/1.97 (define @t918 () (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int @t89 @t471)) @t85)) % 1.72/1.97 (define @t919 () (tptp.legendre @t123 @t459)) % 1.72/1.97 (define @t920 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.quadRes @t459) @t123))) % 1.72/1.97 (define @t921 () (not @t920)) % 1.72/1.97 (define @t922 () (@list @t349 @t115)) % 1.72/1.97 (define @t923 () (= @t471 @t435)) % 1.72/1.97 (define @t924 () (= @t471 @t222)) % 1.72/1.97 (define @t925 () (tptp.hAPP tptp.nat @t249 @t908 @t435)) % 1.72/1.97 (define @t926 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t925 @t471))) % 1.72/1.97 (define @t927 () (= @t115 @t112)) % 1.72/1.97 (define @t928 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t908 @t112) @t115))) % 1.72/1.97 (define @t929 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t908 @t115) @t112))) % 1.72/1.97 (define @t930 () (and @t929 @t928)) % 1.72/1.97 (define @t931 () (tptp.hAPP tptp.nat @t249 @t908 @t514)) % 1.72/1.97 (define @t932 () (tptp.times_times tptp.nat @t317)) % 1.72/1.97 (define @t933 () (tptp.hAPP tptp.nat tptp.nat @t932 @t324)) % 1.72/1.97 (define @t934 () (tptp.hAPP tptp.nat @t249 @t908 @t123)) % 1.72/1.97 (define @t935 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t934 @t317))) % 1.72/1.97 (define @t936 () (tptp.times_times tptp.nat @t324)) % 1.72/1.97 (define @t937 () (tptp.power_power tptp.nat @t103)) % 1.72/1.97 (define @t938 () (tptp.power_power tptp.nat @t106)) % 1.72/1.97 (define @t939 () (tptp.hAPP tptp.nat @t249 @t908 (tptp.hAPP tptp.nat tptp.nat @t938 @t435))) % 1.72/1.97 (define @t940 () (tptp.hAPP tptp.nat @t249 @t908 @t106)) % 1.72/1.97 (define @t941 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t940 @t103))) % 1.72/1.97 (define @t942 () (tptp.minus_minus tptp.nat @t471)) % 1.72/1.97 (define @t943 () (tptp.hAPP tptp.nat tptp.nat @t942 @t261)) % 1.72/1.97 (define @t944 () (tptp.plus_plus tptp.nat @t435)) % 1.72/1.97 (define @t945 () (not @t924)) % 1.72/1.97 (define @t946 () (tptp.power_power tptp.nat @t459)) % 1.72/1.97 (define @t947 () (tptp.hAPP tptp.nat tptp.nat @t946 @t471)) % 1.72/1.97 (define @t948 () (tptp.plus_plus tptp.nat @t106)) % 1.72/1.97 (define @t949 () (tptp.hAPP tptp.nat @t249 @t908 @t349)) % 1.72/1.97 (define @t950 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t949 @t347))) % 1.72/1.97 (define @t951 () (= @t167 @t222)) % 1.72/1.97 (define @t952 () (or @t951 @t950)) % 1.72/1.97 (define @t953 () (tptp.times_times tptp.nat @t347)) % 1.72/1.97 (define @t954 () (tptp.hAPP tptp.nat tptp.nat @t953 @t167)) % 1.72/1.97 (define @t955 () (tptp.times_times tptp.nat @t349)) % 1.72/1.97 (define @t956 () (tptp.hAPP tptp.nat tptp.nat @t955 @t167)) % 1.72/1.97 (define @t957 () (@list @t349 @t167 @t347)) % 1.72/1.97 (define @t958 () (= @t349 @t261)) % 1.72/1.97 (define @t959 () (= @t347 @t261)) % 1.72/1.97 (define @t960 () (tptp.hAPP tptp.nat tptp.nat @t953 @t349)) % 1.72/1.97 (define @t961 () (= @t349 @t222)) % 1.72/1.97 (define @t962 () (tptp.hAPP tptp.nat @t249 @t248 @t426)) % 1.72/1.97 (define @t963 () (and @t867 (= @t112 @t866))) % 1.72/1.97 (define @t964 () (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t872 @t123))) % 1.72/1.97 (define @t965 () (@var "R_2" $$unsorted)) % 1.72/1.97 (define @t966 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t349))) % 1.72/1.97 (define @t967 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t940 @t106))) % 1.72/1.97 (define @t968 () (tptp.minus_minus tptp.nat @t184)) % 1.72/1.97 (define @t969 () (tptp.hAPP tptp.nat tptp.nat @t968 @t186)) % 1.72/1.97 (define @t970 () (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat @t969) @t151)) % 1.72/1.97 (define @t971 () (@list @t184 @t186 @t151)) % 1.72/1.97 (define @t972 () (tptp.minus_minus tptp.nat @t435)) % 1.72/1.97 (define @t973 () (tptp.hAPP tptp.nat tptp.nat @t942 @t435)) % 1.72/1.97 (define @t974 () (= @t973 @t222)) % 1.72/1.97 (define @t975 () (tptp.one_one tptp.real)) % 1.72/1.97 (define @t976 () (tptp.ord_less_eq tptp.real)) % 1.72/1.97 (define @t977 () (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t871 @t976 @t115) @t112))) % 1.72/1.97 (define @t978 () (not @t927)) % 1.72/1.97 (define @t979 () (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t871 @t870 @t115) @t112))) % 1.72/1.97 (define @t980 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t347) @t349))) % 1.72/1.97 (define @t981 () (tptp.hAPP tptp.nat @t249 @t248 @t349)) % 1.72/1.97 (define @t982 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t981 @t347))) % 1.72/1.97 (define @t983 () (not @t802)) % 1.72/1.97 (define @t984 () (= @t106 @t103)) % 1.72/1.97 (define @t985 () (not @t984)) % 1.72/1.97 (define @t986 () (not @t923)) % 1.72/1.97 (define @t987 () (@var "T_3" $$unsorted)) % 1.72/1.97 (define @t988 () (@var "S" $$unsorted)) % 1.72/1.97 (define @t989 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t284 @t347) @t349))) % 1.72/1.97 (define @t990 () (tptp.minus_minus tptp.nat @t186)) % 1.72/1.97 (define @t991 () (tptp.minus_minus tptp.nat @t262)) % 1.72/1.97 (define @t992 () (tptp.hAPP tptp.nat tptp.nat @t991 @t471)) % 1.72/1.97 (define @t993 () (tptp.hAPP tptp.nat tptp.nat @t991 @t435)) % 1.72/1.97 (define @t994 () (@list @t262 @t471 @t435)) % 1.72/1.97 (define @t995 () (tptp.hAPP tptp.nat @t249 @t908 @t103)) % 1.72/1.97 (define @t996 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t995 @t106))) % 1.72/1.97 (define @t997 () (and @t941 (not @t996))) % 1.72/1.97 (define @t998 () (tptp.hAPP tptp.nat @t249 @t908 @t154)) % 1.72/1.97 (define @t999 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t940 @t154))) % 1.72/1.97 (define @t1000 () (and @t999 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t998 @t106))))) % 1.72/1.97 (define @t1001 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t995 @t154))) % 1.72/1.97 (define @t1002 () (=> (and @t1001 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t998 @t103)))) @t1000)) % 1.72/1.97 (define @t1003 () (tptp.hAPP tptp.nat @t249 @t908 @t317)) % 1.72/1.97 (define @t1004 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1003 @t123))) % 1.72/1.97 (define @t1005 () (and @t935 (not @t1004))) % 1.72/1.97 (define @t1006 () (tptp.hAPP tptp.nat @t249 @t908 @t324)) % 1.72/1.97 (define @t1007 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t934 @t324))) % 1.72/1.97 (define @t1008 () (and @t1007 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1006 @t123))))) % 1.72/1.97 (define @t1009 () (= @t317 @t324)) % 1.72/1.97 (define @t1010 () (tptp.hBOOL @t284)) % 1.72/1.97 (define @t1011 () (and @t929 (not @t928))) % 1.72/1.97 (define @t1012 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1003 @t324))) % 1.72/1.97 (define @t1013 () (= @t123 @t317)) % 1.72/1.97 (define @t1014 () (tptp.hAPP tptp.nat @t249 @t908 @t151)) % 1.72/1.97 (define @t1015 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1014 @t973))) % 1.72/1.97 (define @t1016 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1014 @t435))) % 1.72/1.97 (define @t1017 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1014 @t471))) % 1.72/1.97 (define @t1018 () (@list @t435 @t151 @t471)) % 1.72/1.97 (define @t1019 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t908 @t471) @t435))) % 1.72/1.97 (define @t1020 () (not @t1013)) % 1.72/1.97 (define @t1021 () (@list @t112 @t115)) % 1.72/1.97 (define @t1022 () (tptp.hAPP tptp.nat tptp.nat @t944 @t471)) % 1.72/1.97 (define @t1023 () (tptp.hAPP tptp.nat tptp.nat @t944 @t151)) % 1.72/1.97 (define @t1024 () (@list @t471 @t435 @t151)) % 1.72/1.97 (define @t1025 () (tptp.plus_plus tptp.nat @t167)) % 1.72/1.97 (define @t1026 () (tptp.hAPP tptp.nat tptp.nat @t1025 @t347)) % 1.72/1.97 (define @t1027 () (tptp.hAPP tptp.nat tptp.nat @t1025 @t349)) % 1.72/1.97 (define @t1028 () (@list @t167 @t349 @t347)) % 1.72/1.97 (define @t1029 () (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t347) @t167)) % 1.72/1.97 (define @t1030 () (tptp.plus_plus tptp.nat @t349)) % 1.72/1.97 (define @t1031 () (tptp.hAPP tptp.nat tptp.nat @t1030 @t167)) % 1.72/1.97 (define @t1032 () (tptp.minus_minus tptp.nat @t1022)) % 1.72/1.97 (define @t1033 () (tptp.plus_plus tptp.nat @t186)) % 1.72/1.97 (define @t1034 () (tptp.hAPP tptp.nat tptp.nat @t1033 @t151)) % 1.72/1.97 (define @t1035 () (tptp.plus_plus tptp.nat @t151)) % 1.72/1.97 (define @t1036 () (tptp.hAPP tptp.nat tptp.nat @t1035 @t435)) % 1.72/1.97 (define @t1037 () (tptp.hAPP tptp.nat tptp.nat @t805 @t151)) % 1.72/1.97 (define @t1038 () (@list @t471 @t151 @t435)) % 1.72/1.97 (define @t1039 () (tptp.times_times tptp.real @t179)) % 1.72/1.97 (define @t1040 () (tptp.times_times tptp.real @t181)) % 1.72/1.97 (define @t1041 () (tptp.times_times tptp.real @t154)) % 1.72/1.97 (define @t1042 () (tptp.hAPP tptp.nat @t249 @t491 @t184)) % 1.72/1.97 (define @t1043 () (tptp.hAPP tptp.nat @t249 @t491 @t186)) % 1.72/1.97 (define @t1044 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1042 @t186))) % 1.72/1.97 (define @t1045 () (tptp.hAPP tptp.nat @t249 @t491 @t349)) % 1.72/1.97 (define @t1046 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1045 @t347))) % 1.72/1.97 (define @t1047 () (tptp.minus_minus tptp.nat @t347)) % 1.72/1.97 (define @t1048 () (tptp.hAPP tptp.nat tptp.nat @t1047 @t167)) % 1.72/1.97 (define @t1049 () (tptp.minus_minus tptp.nat @t349)) % 1.72/1.97 (define @t1050 () (tptp.hAPP tptp.nat tptp.nat @t1049 @t167)) % 1.72/1.97 (define @t1051 () (tptp.hAPP tptp.nat @t249 @t491 @t167)) % 1.72/1.97 (define @t1052 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1051 @t347))) % 1.72/1.97 (define @t1053 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1051 @t349))) % 1.72/1.97 (define @t1054 () (@list @t347 @t167 @t349)) % 1.72/1.97 (define @t1055 () (tptp.hAPP tptp.nat @t249 @t491 @t151)) % 1.72/1.97 (define @t1056 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1055 @t435))) % 1.72/1.97 (define @t1057 () (tptp.times_times tptp.nat @t435)) % 1.72/1.97 (define @t1058 () (tptp.hAPP tptp.nat tptp.nat @t1057 @t151)) % 1.72/1.97 (define @t1059 () (tptp.times_times tptp.nat @t151)) % 1.72/1.97 (define @t1060 () (tptp.hAPP tptp.nat tptp.nat @t1059 @t435)) % 1.72/1.97 (define @t1061 () (tptp.hAPP tptp.nat tptp.nat @t1059 @t471)) % 1.72/1.97 (define @t1062 () (tptp.hAPP tptp.nat tptp.nat @t711 @t151)) % 1.72/1.97 (define @t1063 () (tptp.plus_plus tptp.real @t154)) % 1.72/1.97 (define @t1064 () (tptp.minus_minus @t3 @t123)) % 1.72/1.97 (define @t1065 () (tptp.hAPP @t3 @t3 @t1064 @t317)) % 1.72/1.97 (define @t1066 () (tptp.plus_plus @t3 @t1065)) % 1.72/1.97 (define @t1067 () (tptp.ab_group_add @t3)) % 1.72/1.97 (define @t1068 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t347))) % 1.72/1.97 (define @t1069 () (@list @t347)) % 1.72/1.97 (define @t1070 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t471))) % 1.72/1.97 (define @t1071 () (tptp.hAPP tptp.nat tptp.nat @t1030 @t347)) % 1.72/1.97 (define @t1072 () (tptp.hAPP tptp.nat tptp.nat @t955 @t347)) % 1.72/1.97 (define @t1073 () (or @t802 @t951)) % 1.72/1.97 (define @t1074 () (tptp.times_times tptp.nat @t167)) % 1.72/1.97 (define @t1075 () (tptp.hAPP tptp.nat tptp.nat @t1074 @t347)) % 1.72/1.97 (define @t1076 () (tptp.hAPP tptp.nat tptp.nat @t1074 @t349)) % 1.72/1.97 (define @t1077 () (= @t1076 @t1075)) % 1.72/1.97 (define @t1078 () (= @t127 @t546)) % 1.72/1.97 (define @t1079 () (tptp.times_times tptp.real @t485)) % 1.72/1.97 (define @t1080 () (not (= @t485 @t866))) % 1.72/1.97 (define @t1081 () (tptp.plus_plus tptp.nat @t184)) % 1.72/1.97 (define @t1082 () (tptp.hAPP tptp.nat tptp.nat @t1081 @t186)) % 1.72/1.97 (define @t1083 () (tptp.hAPP tptp.nat @t249 @t248 @t1082)) % 1.72/1.97 (define @t1084 () (@list @t184 @t186)) % 1.72/1.97 (define @t1085 () (tptp.hAPP tptp.nat tptp.nat @t1033 @t184)) % 1.72/1.97 (define @t1086 () (tptp.hAPP tptp.nat tptp.nat @t1033 @t471)) % 1.72/1.97 (define @t1087 () (tptp.hAPP tptp.nat @t249 @t248 @t184)) % 1.72/1.97 (define @t1088 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1087 @t186))) % 1.72/1.97 (define @t1089 () (@list @t471 @t184 @t186)) % 1.72/1.97 (define @t1090 () (tptp.hAPP tptp.nat tptp.nat @t805 @t186)) % 1.72/1.97 (define @t1091 () (tptp.hAPP tptp.nat tptp.nat @t1081 @t151)) % 1.72/1.97 (define @t1092 () (tptp.hAPP tptp.nat @t249 @t248 @t1091)) % 1.72/1.97 (define @t1093 () (tptp.hAPP tptp.nat tptp.nat @t1033 @t262)) % 1.72/1.97 (define @t1094 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t151) @t262))) % 1.72/1.97 (define @t1095 () (@list @t151 @t262 @t184 @t186)) % 1.72/1.97 (define @t1096 () (= (tptp.hAPP tptp.nat tptp.nat @t944 @t973) @t471)) % 1.72/1.97 (define @t1097 () (not @t707)) % 1.72/1.97 (define @t1098 () (@var "J_2" $$unsorted)) % 1.72/1.97 (define @t1099 () (@var "I_2" $$unsorted)) % 1.72/1.97 (define @t1100 () (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t1099) @t167)) % 1.72/1.97 (define @t1101 () (tptp.minus_minus tptp.nat @t1098)) % 1.72/1.97 (define @t1102 () (tptp.hAPP tptp.nat tptp.nat @t1101 @t167)) % 1.72/1.97 (define @t1103 () (tptp.hAPP tptp.nat @t249 @t908 @t167)) % 1.72/1.97 (define @t1104 () (tptp.hAPP tptp.nat @t249 @t491 @t1091)) % 1.72/1.97 (define @t1105 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1055 @t262))) % 1.72/1.97 (define @t1106 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t1037) @t435))) % 1.72/1.97 (define @t1107 () (tptp.hAPP tptp.nat tptp.nat @t990 @t151)) % 1.72/1.97 (define @t1108 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1055 @t186))) % 1.72/1.97 (define @t1109 () (@list @t184 @t151 @t186)) % 1.72/1.97 (define @t1110 () (tptp.hAPP tptp.nat @t249 @t491 @t1098)) % 1.72/1.97 (define @t1111 () (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat @t1082) @t151)) % 1.72/1.97 (define @t1112 () (tptp.hAPP tptp.nat tptp.nat @t1081 @t1107)) % 1.72/1.97 (define @t1113 () (tptp.hAPP tptp.nat @t249 @t491 @t1099)) % 1.72/1.97 (define @t1114 () (tptp.hAPP tptp.nat tptp.nat @t1101 @t1099)) % 1.72/1.97 (define @t1115 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1113 @t1098))) % 1.72/1.97 (define @t1116 () (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat @t1085) @t151)) % 1.72/1.97 (define @t1117 () (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t1107) @t184)) % 1.72/1.97 (define @t1118 () (tptp.hAPP tptp.nat tptp.nat @t711 @t471)) % 1.72/1.97 (define @t1119 () (tptp.times_times tptp.nat @t186)) % 1.72/1.97 (define @t1120 () (tptp.hAPP tptp.nat tptp.nat @t1119 @t151)) % 1.72/1.97 (define @t1121 () (tptp.times_times tptp.nat @t184)) % 1.72/1.97 (define @t1122 () (tptp.hAPP tptp.nat tptp.nat @t1121 @t151)) % 1.72/1.97 (define @t1123 () (tptp.hAPP tptp.nat @t249 @t491 @t1122)) % 1.72/1.97 (define @t1124 () (tptp.hAPP tptp.nat tptp.nat @t1059 @t186)) % 1.72/1.97 (define @t1125 () (tptp.hAPP tptp.nat tptp.nat @t1059 @t184)) % 1.72/1.97 (define @t1126 () (and @t958 @t959)) % 1.72/1.97 (define @t1127 () (tptp.times_times @t3 (tptp.hAPP @t3 @t3 @t914 @t123))) % 1.72/1.97 (define @t1128 () (tptp.hAPP @t3 @t3 @t1127 @t317)) % 1.72/1.97 (define @t1129 () (tptp.hAPP @t3 @t3 @t873 @t317)) % 1.72/1.97 (define @t1130 () (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t552) @t510)) % 1.72/1.97 (define @t1131 () (@list @t106 @t103 @t123 @t317)) % 1.72/1.97 (define @t1132 () (@var "D_4" $$unsorted)) % 1.72/1.97 (define @t1133 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t284 @t1132))) % 1.72/1.97 (define @t1134 () (= @t127 (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t546) @t1132))) % 1.72/1.97 (define @t1135 () (@list @t1132)) % 1.72/1.97 (define @t1136 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t284 @t222))) % 1.72/1.97 (define @t1137 () (not @t1136)) % 1.72/1.97 (define @t1138 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t127) @t546))) % 1.72/1.97 (define @t1139 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t284 (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat @t127) @t546)))) % 1.72/1.97 (define @t1140 () (@list @t284 @t127 @t546)) % 1.72/1.97 (define @t1141 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t167))) % 1.72/1.97 (define @t1142 () (and @t1141 @t982)) % 1.72/1.97 (define @t1143 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t1076) @t1075))) % 1.72/1.97 (define @t1144 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t151))) % 1.72/1.97 (define @t1145 () (tptp.times_times tptp.real @t112)) % 1.72/1.97 (define @t1146 () (tptp.hAPP tptp.real tptp.real @t1145 @t215)) % 1.72/1.97 (define @t1147 () (tptp.hAPP tptp.real tptp.real @t868 @t215)) % 1.72/1.97 (define @t1148 () (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t872 @t215))) % 1.72/1.97 (define @t1149 () (@list @t115 @t112 @t215)) % 1.72/1.97 (define @t1150 () (tptp.times_times tptp.real @t215)) % 1.72/1.97 (define @t1151 () (=> @t1141 @t1046)) % 1.72/1.97 (define @t1152 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t1076) @t1075))) % 1.72/1.97 (define @t1153 () (tptp.hAPP tptp.nat tptp.nat @t972 @t261)) % 1.72/1.97 (define @t1154 () (tptp.power_power @t3 @t471)) % 1.72/1.97 (define @t1155 () (tptp.hAPP tptp.nat @t3 @t1154 @t435)) % 1.72/1.97 (define @t1156 () (@var "I" $$unsorted)) % 1.72/1.97 (define @t1157 () (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t284 @t1156)))) % 1.72/1.97 (define @t1158 () (@list @t1156)) % 1.72/1.97 (define @t1159 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t284 @t347))) % 1.72/1.97 (define @t1160 () (@list @t347 @t284)) % 1.72/1.97 (define @t1161 () (@var "U" $$unsorted)) % 1.72/1.97 (define @t1162 () (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t1114) @t1161)) @t347)) % 1.72/1.97 (define @t1163 () (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t1098) @t1161)) @t347)) % 1.72/1.97 (define @t1164 () (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t1099) @t1161)) @t349)) % 1.72/1.97 (define @t1165 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t1164) @t1163))) % 1.72/1.97 (define @t1166 () (@list @t1161 @t349 @t347 @t1099 @t1098)) % 1.72/1.97 (define @t1167 () (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat @t1099) @t1098)) @t1161)) @t349)) % 1.72/1.97 (define @t1168 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1110 @t1099))) % 1.72/1.97 (define @t1169 () (@list @t1161 @t349 @t347 @t1098 @t1099)) % 1.72/1.97 (define @t1170 () (tptp.hAPP tptp.real @t871 @t976 @t137)) % 1.72/1.97 (define @t1171 () (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t1170 @t154))) % 1.72/1.97 (define @t1172 () (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t871 @t976 @t154) @t137))) % 1.72/1.97 (define @t1173 () (tptp.hAPP tptp.real @t871 @t976 @t184)) % 1.72/1.97 (define @t1174 () (tptp.plus_plus tptp.nat (tptp.hAPP tptp.nat tptp.nat @t1119 @t641))) % 1.72/1.97 (define @t1175 () (tptp.plus_plus tptp.nat (tptp.hAPP tptp.nat tptp.nat @t1121 @t641))) % 1.72/1.97 (define @t1176 () (@list @t349 @t347 @t167)) % 1.72/1.97 (define @t1177 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t908 @t1076) @t1075))) % 1.72/1.97 (define @t1178 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t1164) @t1163))) % 1.72/1.97 (define @t1179 () (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat (tptp.hAPP tptp.nat tptp.nat @t1175 @t471)) (tptp.hAPP tptp.nat tptp.nat @t1174 @t435))) % 1.72/1.97 (define @t1180 () (= @t1164 @t1163)) % 1.72/1.97 (define @t1181 () (@var "P_5" $$unsorted)) % 1.72/1.97 (define @t1182 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t626 @t123))) % 1.72/1.97 (define @t1183 () (@var "P_4" $$unsorted)) % 1.72/1.97 (define @t1184 () (tptp.hBOOL @t1183)) % 1.72/1.97 (define @t1185 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t115))) % 1.72/1.97 (define @t1186 () (=> @t1185 (= @t1010 @t1184))) % 1.72/1.97 (define @t1187 () (@list @t1183 @t284 @t115)) % 1.72/1.97 (define @t1188 () (= @t309 @t82)) % 1.72/1.97 (define @t1189 () (tptp.plus_plus @t3 @t442)) % 1.72/1.97 (define @t1190 () (@var "D_3" $$unsorted)) % 1.72/1.97 (define @t1191 () (tptp.hAPP @t3 @t61 @t72 @t484)) % 1.72/1.97 (define @t1192 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t1191 (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t442) (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t815) @t1190))) @t483)))) % 1.72/1.97 (define @t1193 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t1191 (tptp.hAPP @t3 @t3 @t1189 @t483)))) % 1.72/1.97 (define @t1194 () (@list @t442 @t815)) % 1.72/1.97 (define @t1195 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t1191 @t1190))) % 1.72/1.97 (define @t1196 () (@list @t483 @t484 @t1190)) % 1.72/1.97 (define @t1197 () (and (tptp.comm_ring @t3) @t30)) % 1.72/1.97 (define @t1198 () (tptp.hAPP tptp.int tptp.int @t481 @t484)) % 1.72/1.97 (define @t1199 () (tptp.minus_minus tptp.int @t442)) % 1.72/1.97 (define @t1200 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 @t442))) % 1.72/1.97 (define @t1201 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t167))) % 1.72/1.97 (define @t1202 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t484))) % 1.72/1.97 (define @t1203 () (@list @t167 @t284 @t484)) % 1.72/1.97 (define @t1204 () (tptp.plus_plus tptp.int @t442)) % 1.72/1.97 (define @t1205 () (@var "B_4" $$unsorted)) % 1.72/1.97 (define @t1206 () (@var "A_5" $$unsorted)) % 1.72/1.97 (define @t1207 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t714 @t317))) % 1.72/1.97 (define @t1208 () (tptp.hAPP tptp.int tptp.int @t881 @t85)) % 1.72/1.97 (define @t1209 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t521) @t45))) % 1.72/1.97 (define @t1210 () (=> @t770 @t1209)) % 1.72/1.97 (define @t1211 () (tptp.ordere216010020id_add @t3)) % 1.72/1.97 (define @t1212 () (= @t549 @t558)) % 1.72/1.97 (define @t1213 () (tptp.hAPP @t3 @t3 @t356 @t485)) % 1.72/1.97 (define @t1214 () (tptp.plus_plus @t3 @t485)) % 1.72/1.97 (define @t1215 () (tptp.hAPP @t3 @t3 @t1214 @t127)) % 1.72/1.97 (define @t1216 () (= @t574 @t573)) % 1.72/1.97 (define @t1217 () (forall @t524 (=> (= @t521 @t513) @t1216))) % 1.72/1.97 (define @t1218 () (tptp.hAPP @t3 @t3 @t519 @t123)) % 1.72/1.97 (define @t1219 () (= @t891 (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t485) @t484))) % 1.72/1.97 (define @t1220 () (@list @t127 @t546 @t485 @t484)) % 1.72/1.97 (define @t1221 () (tptp.comm_monoid_add @t3)) % 1.72/1.97 (define @t1222 () (tptp.hAPP @t3 @t3 @t547 @t485)) % 1.72/1.97 (define @t1223 () (tptp.ordere236663937imp_le @t3)) % 1.72/1.97 (define @t1224 () (tptp.hAPP @t3 @t3 @t1214 @t546)) % 1.72/1.97 (define @t1225 () (tptp.hAPP @t3 @t61 @t64 @t513)) % 1.72/1.97 (define @t1226 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t1225 @t520))) % 1.72/1.97 (define @t1227 () (tptp.ordere779506340up_add @t3)) % 1.72/1.97 (define @t1228 () (tptp.hAPP @t3 @t3 @t511 @t317)) % 1.72/1.97 (define @t1229 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t512) @t1228))) % 1.72/1.97 (define @t1230 () (tptp.hAPP @t3 @t61 @t60 @t513)) % 1.72/1.97 (define @t1231 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t1230 @t520))) % 1.72/1.97 (define @t1232 () (tptp.ordere223160158up_add @t3)) % 1.72/1.97 (define @t1233 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t512) @t1228))) % 1.72/1.97 (define @t1234 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t1230 @t526))) % 1.72/1.97 (define @t1235 () (=> @t830 @t1234)) % 1.72/1.97 (define @t1236 () (= @t891 @t45)) % 1.72/1.97 (define @t1237 () (tptp.ordered_ab_group_add @t3)) % 1.72/1.97 (define @t1238 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t732 @t513))) % 1.72/1.97 (define @t1239 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t732 @t324))) % 1.72/1.97 (define @t1240 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t521))) % 1.72/1.97 (define @t1241 () (=> @t773 @t1240)) % 1.72/1.97 (define @t1242 () (tptp.zfact @t435)) % 1.72/1.97 (define @t1243 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t814 @t82))) % 1.72/1.97 (define @t1244 () (tptp.inv @t459 @t123)) % 1.72/1.97 (define @t1245 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t714 @t909))) % 1.72/1.97 (define @t1246 () (tptp.wset @t127 @t623)) % 1.72/1.97 (define @t1247 () (tptp.hBOOL (tptp.hAPP @t53 tptp.bool (tptp.member tptp.int (tptp.inv @t623 @t546)) @t1246))) % 1.72/1.97 (define @t1248 () (tptp.member tptp.int @t546)) % 1.72/1.97 (define @t1249 () (tptp.hBOOL (tptp.hAPP @t53 tptp.bool @t1248 @t1246))) % 1.72/1.97 (define @t1250 () (tptp.hAPP tptp.int @t53 @t83 @t127)) % 1.72/1.97 (define @t1251 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t907))) % 1.72/1.97 (define @t1252 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t629 @t623))) % 1.72/1.97 (define @t1253 () (@list @t546 @t127 @t623)) % 1.72/1.97 (define @t1254 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t546) @t907))) % 1.72/1.97 (define @t1255 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t626 @t546))) % 1.72/1.97 (define @t1256 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t626 @t127))) % 1.72/1.97 (define @t1257 () (tptp.hBOOL (tptp.hAPP @t53 tptp.bool @t1248 (tptp.wset (tptp.hAPP tptp.int tptp.int @t898 @t85) @t623)))) % 1.72/1.97 (define @t1258 () (@list @t546 @t623 @t127)) % 1.72/1.97 (define @t1259 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t546) @t127))) % 1.72/1.97 (define @t1260 () (tptp.multInv @t459 @t186)) % 1.72/1.97 (define @t1261 () (tptp.hAPP tptp.int tptp.int @t423 @t1260)) % 1.72/1.97 (define @t1262 () (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t186 @t82) @t459)))) % 1.72/1.97 (define @t1263 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 @t1099))) % 1.72/1.97 (define @t1264 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 @t1156))) % 1.72/1.97 (define @t1265 () (=> @t1264 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t1156) @t85))))) % 1.72/1.97 (define @t1266 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 @t167))) % 1.72/1.97 (define @t1267 () (@list @t284 @t1099 @t167)) % 1.72/1.97 (define @t1268 () (tptp.hAPP tptp.int tptp.int @t423 (tptp.multInv @t459 @t151))) % 1.72/1.97 (define @t1269 () (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t186) @t151)) % 1.72/1.97 (define @t1270 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t1269 (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t1268) @t151)) @t459))) % 1.72/1.97 (define @t1271 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t186 @t1268) @t459))) % 1.72/1.97 (define @t1272 () (tptp.times_times tptp.int @t1260)) % 1.72/1.97 (define @t1273 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int (tptp.hAPP tptp.int tptp.int @t1272 @t186)) @t151) (tptp.hAPP tptp.int tptp.int @t1272 @t123)) @t459))) % 1.72/1.97 (define @t1274 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t1269 @t123) @t459))) % 1.72/1.97 (define @t1275 () (@list @t186 @t151 @t123 @t459)) % 1.72/1.97 (define @t1276 () (tptp.multInv @t459 @t106)) % 1.72/1.97 (define @t1277 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t1276 (tptp.multInv @t459 @t103)) @t459))) % 1.72/1.97 (define @t1278 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t726 @t459))) % 1.72/1.97 (define @t1279 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t1261 @t1268) @t459))) % 1.72/1.97 (define @t1280 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t186 @t151) @t459))) % 1.72/1.97 (define @t1281 () (@list @t123 @t186 @t151 @t459)) % 1.72/1.97 (define @t1282 () (tptp.multInv @t459 @t1276)) % 1.72/1.97 (define @t1283 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t151 @t1261) @t459))) % 1.72/1.97 (define @t1284 () (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t151 @t82) @t459)))) % 1.72/1.97 (define @t1285 () (tptp.hAPP tptp.int tptp.int @t488 @t1276)) % 1.72/1.97 (define @t1286 () (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t1285) @t1282)) % 1.72/1.97 (define @t1287 () (=> @t1264 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t1156) @t85))))) % 1.72/1.97 (define @t1288 () (@list @t284 @t167 @t1099)) % 1.72/1.97 (define @t1289 () (@var "F_1" $$unsorted)) % 1.72/1.97 (define @t1290 () (@var "N_2" $$unsorted)) % 1.72/1.97 (define @t1291 () (tptp.hAPP tptp.int tptp.int @t906 @t416)) % 1.72/1.97 (define @t1292 () (tptp.hBOOL (tptp.hAPP @t53 tptp.bool @t1248 (tptp.d22set @t127)))) % 1.72/1.97 (define @t1293 () (@var "Sa" $$unsorted)) % 1.72/1.97 (define @t1294 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t1191 (tptp.hAPP @t3 @t3 @t1189 @t1293)))) % 1.72/1.97 (define @t1295 () (= @t1294 @t1294)) % 1.72/1.97 (define @t1296 () (@var "Z" $$unsorted)) % 1.72/1.97 (define @t1297 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t1296) @t442))) % 1.72/1.97 (define @t1298 () (@list @t1296)) % 1.72/1.97 (define @t1299 () (@list @t484 @t1293)) % 1.72/1.97 (define @t1300 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t442) @t1296))) % 1.72/1.97 (define @t1301 () (not @t1294)) % 1.72/1.97 (define @t1302 () (= @t1301 @t1301)) % 1.72/1.97 (define @t1303 () (@list @t127 @t546 @t347)) % 1.72/1.97 (define @t1304 () (tptp.hAPP tptp.nat @t249 @t908 @t222)) % 1.72/1.97 (define @t1305 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1304 @t123))) % 1.72/1.97 (define @t1306 () (= @t127 @t222)) % 1.72/1.97 (define @t1307 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1304 @t127))) % 1.72/1.97 (define @t1308 () (tptp.hAPP tptp.nat @t249 @t908 @t127)) % 1.72/1.97 (define @t1309 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t934 @t222))) % 1.72/1.97 (define @t1310 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t934 @t261))) % 1.72/1.97 (define @t1311 () (= @t127 @t261)) % 1.72/1.97 (define @t1312 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1308 @t261))) % 1.72/1.97 (define @t1313 () (tptp.hAPP tptp.nat @t249 @t908 @t261)) % 1.72/1.97 (define @t1314 () (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1313 @t123))) % 1.72/1.97 (define @t1315 () (tptp.real_normed_algebra @t3)) % 1.72/1.97 (define @t1316 () (tptp.sr @t623)) % 1.72/1.97 (define @t1317 () (@list @t317)) % 1.72/1.97 (define @t1318 () (tptp.hAPP @t3 @t3 @t345 @t593)) % 1.72/1.97 (define @t1319 () (tptp.plus_plus @t3 @t510)) % 1.72/1.97 (define @t1320 () (@list @t123 @t317 @t593)) % 1.72/1.97 (define @t1321 () (@var "Xa" $$unsorted)) % 1.72/1.97 (define @t1322 () (tptp.times_times @t3 @t1321)) % 1.72/1.97 (define @t1323 () (tptp.hAPP @t3 @t3 @t1322 @t103)) % 1.72/1.97 (define @t1324 () (tptp.hAPP @t3 @t3 @t1322 @t106)) % 1.72/1.97 (define @t1325 () (@list @t1321 @t106 @t103)) % 1.72/1.97 (define @t1326 () (@var "A_4" $$unsorted)) % 1.72/1.97 (define @t1327 () (tptp.times_times @t3 @t1326)) % 1.72/1.97 (define @t1328 () (tptp.hAPP @t3 @t3 @t1327 @t317)) % 1.72/1.97 (define @t1329 () (@list @t123 @t1326 @t317)) % 1.72/1.97 (define @t1330 () (@var "Ya" $$unsorted)) % 1.72/1.97 (define @t1331 () (tptp.hAPP @t3 @t3 @t239 @t1330)) % 1.72/1.97 (define @t1332 () (tptp.hAPP @t3 @t3 @t240 @t1330)) % 1.72/1.97 (define @t1333 () (@list @t106 @t103 @t1330)) % 1.72/1.97 (define @t1334 () (tptp.minus_minus @t3 @t510)) % 1.72/1.97 (define @t1335 () (tptp.number_number_of tptp.int @t367)) % 1.72/1.97 (define @t1336 () (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int (tptp.number_number_of tptp.int (tptp.bit1 @t143))) @t1335)) % 1.72/1.97 (define @t1337 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t163))) % 1.72/1.97 (define @t1338 () (tptp.hAPP tptp.int tptp.int @t417 (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t164) @t163))) % 1.72/1.97 (define @t1339 () (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int (tptp.hAPP tptp.int tptp.int @t304 (tptp.hAPP tptp.int tptp.int @t417 @t317))) @t418)) % 1.72/1.97 (define @t1340 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t713 @t82))) % 1.72/1.97 (define @t1341 () (tptp.div_mod @t3 @t510)) % 1.72/1.97 (define @t1342 () (tptp.hAPP @t3 @t3 @t1341 @t324)) % 1.72/1.97 (define @t1343 () (tptp.div_mod @t3 @t317)) % 1.72/1.97 (define @t1344 () (tptp.hAPP @t3 @t3 @t1343 @t324)) % 1.72/1.97 (define @t1345 () (= @t1344 (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 @t593) @t324))) % 1.72/1.97 (define @t1346 () (tptp.div_mod @t3 @t123)) % 1.72/1.97 (define @t1347 () (tptp.hAPP @t3 @t3 @t1346 @t324)) % 1.72/1.97 (define @t1348 () (= @t1347 (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 @t1326) @t324))) % 1.72/1.97 (define @t1349 () (@list @t317 @t593 @t123 @t324 @t1326)) % 1.72/1.97 (define @t1350 () (tptp.times_times @t3 @t1347)) % 1.72/1.97 (define @t1351 () (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 (tptp.hAPP @t3 @t3 @t1350 @t317)) @t324)) % 1.72/1.97 (define @t1352 () (tptp.hAPP @t3 @t3 @t1346 @t317)) % 1.72/1.97 (define @t1353 () (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t468) @t324)) % 1.72/1.97 (define @t1354 () (tptp.div_mod tptp.int @t317)) % 1.72/1.97 (define @t1355 () (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int (tptp.hAPP tptp.int tptp.int @t423 (tptp.hAPP tptp.int tptp.int @t1354 @t324))) @t324)) % 1.72/1.97 (define @t1356 () (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t546) @t349)) % 1.72/1.97 (define @t1357 () (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t127) @t349)) % 1.72/1.97 (define @t1358 () (tptp.div_mod tptp.int @t106)) % 1.72/1.97 (define @t1359 () (tptp.hAPP tptp.int tptp.int @t1358 @t471)) % 1.72/1.97 (define @t1360 () (@list @t106 @t471 @t103)) % 1.72/1.97 (define @t1361 () (tptp.div_mod @t3 @t1352)) % 1.72/1.97 (define @t1362 () (@list @t106 @t471)) % 1.72/1.97 (define @t1363 () (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t103) @t471)) % 1.72/1.97 (define @t1364 () (tptp.div_mod tptp.int @t471)) % 1.72/1.97 (define @t1365 () (tptp.hAPP tptp.int tptp.int @t1364 @t435)) % 1.72/1.97 (define @t1366 () (@var "F" $$unsorted)) % 1.72/1.97 (define @t1367 () (tptp.hAPP tptp.int @t53 @t400 @t1366)) % 1.72/1.97 (define @t1368 () (tptp.div_mod tptp.int @t123)) % 1.72/1.97 (define @t1369 () (tptp.hAPP @t3 @t61 @t72 @t167)) % 1.72/1.97 (define @t1370 () (tptp.hAPP @t3 @t61 @t72 @t151)) % 1.72/1.97 (define @t1371 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t1370 (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 @t471) @t435)))) % 1.72/1.97 (define @t1372 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t1370 @t435))) % 1.72/1.97 (define @t1373 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t1370 @t471))) % 1.72/1.97 (define @t1374 () (tptp.div_mod @t3 @t521)) % 1.72/1.97 (define @t1375 () (tptp.hAPP @t3 @t3 @t1374 @t324)) % 1.72/1.97 (define @t1376 () (tptp.plus_plus @t3 @t1347)) % 1.72/1.97 (define @t1377 () (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 (tptp.hAPP @t3 @t3 @t1376 @t317)) @t324)) % 1.72/1.97 (define @t1378 () (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 (tptp.hAPP @t3 @t3 @t384 @t1344)) @t324)) % 1.72/1.97 (define @t1379 () (tptp.div_mod tptp.int @t115)) % 1.72/1.97 (define @t1380 () (@var "Q_2" $$unsorted)) % 1.72/1.97 (define @t1381 () (@list @t1380)) % 1.72/1.97 (define @t1382 () (@list @t349 @t484)) % 1.72/1.97 (define @t1383 () (tptp.hAPP tptp.int tptp.int @t1368 @t317)) % 1.72/1.97 (define @t1384 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t1383) @t317))) % 1.72/1.97 (define @t1385 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t615 @t1383))) % 1.72/1.97 (define @t1386 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t615 @t82))) % 1.72/1.97 (define @t1387 () (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 @t1065) @t324)) % 1.72/1.97 (define @t1388 () (tptp.ring_div @t3)) % 1.72/1.97 (define @t1389 () (tptp.minus_minus tptp.int @t106)) % 1.72/1.97 (define @t1390 () (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int (tptp.hAPP tptp.int tptp.int @t1389 @t103)) @t471)) % 1.72/1.97 (define @t1391 () (@list @t106 @t103 @t471)) % 1.72/1.97 (define @t1392 () (tptp.minus_minus @t3 @t1347)) % 1.72/1.97 (define @t1393 () (tptp.number_number_of tptp.int @t115)) % 1.72/1.97 (define @t1394 () (tptp.number_number_of tptp.int @t112)) % 1.72/1.97 (define @t1395 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t1383))) % 1.72/1.97 (define @t1396 () (= @t1383 @t429)) % 1.72/1.97 (define @t1397 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t1383) @t82))) % 1.72/1.97 (define @t1398 () (@var "B_1" $$unsorted)) % 1.72/1.97 (define @t1399 () (@var "A_2" $$unsorted)) % 1.72/1.97 (define @t1400 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t1398))) % 1.72/1.97 (define @t1401 () (@var "Q_3" $$unsorted)) % 1.72/1.97 (define @t1402 () (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int @t606 (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t425) @t324))) @t426)) % 1.72/1.97 (define @t1403 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t324))) % 1.72/1.97 (define @t1404 () (@list @t425 @t317 @t426 @t324)) % 1.72/1.97 (define @t1405 () (tptp.hAPP tptp.int tptp.int @t606 @t324)) % 1.72/1.97 (define @t1406 () (@var "J" $$unsorted)) % 1.72/1.97 (define @t1407 () (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 @t1406))) % 1.72/1.97 (define @t1408 () (= @t348 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int @t481 @t1156)) @t1406))) % 1.72/1.97 (define @t1409 () (@list @t1156 @t1406)) % 1.72/1.97 (define @t1410 () (@list @t284 @t347 @t167)) % 1.72/1.97 (define @t1411 () (tptp.hAPP tptp.int tptp.int @t1379 @t416)) % 1.72/1.97 (define @t1412 () (@var "D_1" $$unsorted)) % 1.72/1.97 (define @t1413 () (@var "M_1" $$unsorted)) % 1.72/1.97 (define @t1414 () (tptp.standardRes @t471 @t106)) % 1.72/1.97 (define @t1415 () (tptp.hAPP tptp.nat tptp.nat (tptp.div_mod tptp.nat @t471) @t435)) % 1.72/1.97 (define @t1416 () (tptp.hAPP tptp.nat @t249 @t491 @t1415)) % 1.72/1.97 (define @t1417 () (=> @t707 (= @t1415 @t471))) % 1.72/1.97 (define @t1418 () (= @t1415 (tptp.hAPP tptp.nat tptp.nat (tptp.div_mod tptp.nat @t973) @t435))) % 1.72/1.97 (define @t1419 () (=> @t1097 @t1418)) % 1.72/1.97 (define @t1420 () (tptp.standardRes @t623 @t115)) % 1.72/1.97 (define @t1421 () (@var "T_1" $$unsorted)) % 1.72/1.97 (define @t1422 () (@var "T_2" $$unsorted)) % 1.72/1.97 (define @t1423 () (tptp.comm_semiring_1 tptp.int)) % 1.72/1.97 (define @t1424 () (@var "A" $$unsorted)) % 1.72/1.97 (define @t1425 () (@var "T" $$unsorted)) % 1.72/1.97 (define @t1426 () (tptp.ti @t1425 @t1424)) % 1.72/1.97 (define @t1427 () (@var "R" $$unsorted)) % 1.72/1.97 (define @t1428 () (@var "Q" $$unsorted)) % 1.72/1.97 (define @t1429 () (tptp.hAPP @t3 @t5 @t1428 @t1427)) % 1.72/1.97 (define @t1430 () (@var "P" $$unsorted)) % 1.72/1.97 (define @t1431 () (@list @t3 @t4 @t5 @t1430 @t1428 @t1427)) % 1.72/1.97 (define @t1432 () (tptp.hAPP @t3 @t7 @t1430 @t1427)) % 1.72/1.97 (define @t1433 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t78 tptp.fconj @t1430) @t1428))) % 1.72/1.97 (define @t1434 () (tptp.hBOOL @t1428)) % 1.72/1.97 (define @t1435 () (tptp.hBOOL @t1430)) % 1.72/1.97 (define @t1436 () (not @t1433)) % 1.72/1.97 (define @t1437 () (@list @t1430 @t1428)) % 1.72/1.97 (define @t1438 () (@var "BOUND_VARIABLE_18128" $$unsorted)) % 1.72/1.97 (define @t1439 () (= @t45 (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t1438) @t45))) % 1.72/1.97 (define @t1440 () (not @t440)) % 1.72/1.97 (define @t1441 () (or @t1440 @t1439)) % 1.72/1.97 (define @t1442 () (@list @t1438)) % 1.72/1.97 (define @t1443 () (forall @t1442 @t1441)) % 1.72/1.97 (define @t1444 () (forall @t1442 @t1439)) % 1.72/1.97 (define @t1445 () (or @t1440 @t1444)) % 1.72/1.97 (define @t1446 () (forall @t126 (= @t45 @t540))) % 1.72/1.97 (define @t1447 () (= @t82 @t92)) % 1.72/1.97 (define @t1448 () (not @t1423)) % 1.72/1.97 (define @t1449 () (or @t1448 @t1447)) % 1.72/1.97 (define @t1450 () (tptp.hAPP tptp.int tptp.int @t91 (@quantifiers_skolemize @t148 0))) % 1.72/1.97 (define @t1451 () (= @t99 @t1450)) % 1.72/1.97 (define @t1452 () (not (not @t1451))) % 1.72/1.97 (define @t1453 () (tptp.hAPP tptp.int @t53 @t83 @t1450)) % 1.72/1.97 (define @t1454 () (tptp.hAPP tptp.int tptp.bool @t1453 @t92)) % 1.72/1.97 (assume @p1 (forall @t8 (= (tptp.combb @t5 @t4 @t3 (tptp.ti @t7 @t2) @t1) @t6))) % 1.72/1.97 (assume @p2 (forall @t8 (= (tptp.combb @t5 @t4 @t3 @t2 @t9) @t6))) % 1.72/1.97 (assume @p3 (forall @t11 (= (tptp.ti @t10 @t6) @t6))) % 1.72/1.97 (assume @p4 (forall @t14 (= (tptp.combc @t3 @t5 @t4 @t13 @t1) @t12))) % 1.72/1.97 (assume @p5 (forall @t14 (= (tptp.combc @t3 @t5 @t4 @t2 (tptp.ti @t5 @t1)) @t12))) % 1.72/1.97 (assume @p6 (forall @t11 (= (tptp.ti @t10 @t12) @t12))) % 1.72/1.97 (assume @p7 (forall @t14 (= (tptp.combs @t3 @t5 @t4 @t13 @t1) @t15))) % 1.72/1.97 (assume @p8 (forall @t14 (= (tptp.combs @t3 @t5 @t4 @t2 @t9) @t15))) % 1.72/1.97 (assume @p9 (forall @t11 (= (tptp.ti @t10 @t15) @t15))) % 1.72/1.97 (assume @p10 (forall @t19 (=> @t18 (= (tptp.div_mod @t3 @t17) @t16)))) % 1.72/1.97 (assume @p11 (forall @t19 (=> @t18 (= (tptp.ti @t20 @t16) @t16)))) % 1.72/1.97 (assume @p12 (forall @t19 (=> @t22 (= (tptp.minus_minus @t3 @t17) @t21)))) % 1.72/1.97 (assume @p13 (forall @t19 (=> @t22 (= (tptp.ti @t20 @t21) @t21)))) % 1.72/1.97 (assume @p14 (forall @t24 (= (tptp.minus_minus tptp.nat (tptp.ti tptp.nat @t2)) @t23))) % 1.72/1.97 (assume @p15 (forall @t24 (= (tptp.ti (tptp.fun tptp.nat tptp.nat) @t23) @t23))) % 1.72/1.97 (assume @p16 (forall @t27 (=> @t26 (= (tptp.ti @t3 @t25) @t25)))) % 1.72/1.97 (assume @p17 (forall @t19 (=> @t32 @t29))) % 1.72/1.97 (assume @p18 (forall @t19 (=> @t32 @t33))) % 1.72/1.97 (assume @p19 (forall @t19 (=> @t34 @t29))) % 1.72/1.97 (assume @p20 (forall @t19 (=> @t34 @t33))) % 1.72/1.97 (assume @p21 (forall @t19 (=> @t35 @t29))) % 1.72/1.97 (assume @p22 (forall @t19 (=> @t35 @t33))) % 1.72/1.97 (assume @p23 (forall @t19 (=> @t36 @t29))) % 1.72/1.97 (assume @p24 (forall @t19 (=> @t36 @t33))) % 1.72/1.97 (assume @p25 (forall @t19 (=> @t39 @t38))) % 1.72/1.97 (assume @p26 (forall @t19 (=> @t39 @t40))) % 1.72/1.97 (assume @p27 (forall @t19 (=> @t41 @t38))) % 1.72/1.97 (assume @p28 (forall @t19 (=> @t41 @t40))) % 1.72/1.97 (assume @p29 (forall @t19 (=> @t30 @t38))) % 1.72/1.97 (assume @p30 (forall @t19 (=> @t30 @t40))) % 1.72/1.97 (assume @p31 (forall @t19 (=> @t42 @t38))) % 1.72/1.97 (assume @p32 (forall @t19 (=> @t42 @t40))) % 1.72/1.97 (assume @p33 (forall @t19 (=> @t43 @t38))) % 1.72/1.97 (assume @p34 (forall @t19 (=> @t43 @t40))) % 1.72/1.97 (assume @p35 (forall @t19 (=> @t44 @t38))) % 1.72/1.97 (assume @p36 (forall @t19 (=> @t44 @t40))) % 1.72/1.97 (assume @p37 (forall @t27 (=> @t46 (= (tptp.ti @t3 @t45) @t45)))) % 1.72/1.97 (assume @p38 (forall @t27 (= (tptp.ti @t3 @t47) @t47))) % 1.72/1.97 (assume @p39 (forall @t50 (= (tptp.multInv @t49 @t1) @t48))) % 1.72/1.97 (assume @p40 (forall @t50 (= (tptp.multInv @t2 @t51) @t48))) % 1.72/1.97 (assume @p41 (forall @t50 (= (tptp.ti tptp.int @t48) @t48))) % 1.72/1.97 (assume @p42 (forall @t24 (= (tptp.d22set @t49) @t52))) % 1.72/1.97 (assume @p43 (forall @t24 (= (tptp.ti @t53 @t52) @t52))) % 1.72/1.97 (assume @p44 (forall @t24 (= (tptp.zfact @t49) @t54))) % 1.72/1.97 (assume @p45 (forall @t24 (= (tptp.ti tptp.int @t54) @t54))) % 1.72/1.97 (assume @p46 (forall @t50 (= (tptp.zcong @t49 @t1) @t55))) % 1.72/1.97 (assume @p47 (forall @t50 (= (tptp.zcong @t2 @t51) @t55))) % 1.72/1.97 (assume @p48 (forall @t50 (= (tptp.ti @t53 @t55) @t55))) % 1.72/1.97 (assume @p49 (= (tptp.ti @t53 tptp.zprime) tptp.zprime)) % 1.72/1.97 (assume @p50 (forall @t24 (= (tptp.bit0 @t49) @t56))) % 1.72/1.97 (assume @p51 (forall @t24 (= (tptp.ti tptp.int @t56) @t56))) % 1.72/1.97 (assume @p52 (forall @t24 (= (tptp.bit1 @t49) @t57))) % 1.72/1.97 (assume @p53 (forall @t24 (= (tptp.ti tptp.int @t57) @t57))) % 1.72/1.97 (assume @p54 (= (tptp.ti tptp.int tptp.min) tptp.min)) % 1.72/1.97 (assume @p55 (= (tptp.ti tptp.int tptp.pls) tptp.pls)) % 1.72/1.97 (assume @p56 (forall @t19 (=> @t59 (= (tptp.number_number_of @t3 @t49) @t58)))) % 1.72/1.97 (assume @p57 (forall @t19 (=> @t59 (= (tptp.ti @t3 @t58) @t58)))) % 1.72/1.97 (assume @p58 (forall @t27 (=> @t63 (= (tptp.ti @t62 @t60) @t60)))) % 1.72/1.97 (assume @p59 (forall @t27 (=> @t63 (= (tptp.ti @t62 @t64) @t64)))) % 1.72/1.97 (assume @p60 (forall @t19 (=> @t41 (= (tptp.power_power @t3 @t17) @t65)))) % 1.72/1.97 (assume @p61 (forall @t19 (=> @t41 (= (tptp.ti (tptp.fun tptp.nat @t3) @t65) @t65)))) % 1.72/1.97 (assume @p62 (forall @t50 (= (tptp.product_Pair tptp.int tptp.int @t49 @t1) @t66))) % 1.72/1.97 (assume @p63 (forall @t50 (= (tptp.product_Pair tptp.int tptp.int @t2 @t51) @t66))) % 1.72/1.97 (assume @p64 (forall @t50 (= (tptp.ti @t67 @t66) @t66))) % 1.72/1.97 (assume @p65 (forall @t50 (= (tptp.legendre @t49 @t1) @t68))) % 1.72/1.97 (assume @p66 (forall @t50 (= (tptp.legendre @t2 @t51) @t68))) % 1.72/1.97 (assume @p67 (forall @t50 (= (tptp.ti tptp.int @t68) @t68))) % 1.72/1.97 (assume @p68 (forall @t24 (= (tptp.quadRes @t49) @t69))) % 1.72/1.97 (assume @p69 (forall @t24 (= (tptp.ti @t53 @t69) @t69))) % 1.72/1.97 (assume @p70 (forall @t24 (= (tptp.sr @t49) @t70))) % 1.72/1.97 (assume @p71 (forall @t24 (= (tptp.ti @t53 @t70) @t70))) % 1.72/1.97 (assume @p72 (forall @t50 (= (tptp.standardRes @t49 @t1) @t71))) % 1.72/1.97 (assume @p73 (forall @t50 (= (tptp.standardRes @t2 @t51) @t71))) % 1.72/1.97 (assume @p74 (forall @t50 (= (tptp.ti tptp.int @t71) @t71))) % 1.72/1.97 (assume @p75 (forall @t27 (=> @t30 (= (tptp.ti @t62 @t72) @t72)))) % 1.72/1.97 (assume @p76 (forall @t74 (= (tptp.collect @t3 (tptp.ti @t61 @t2)) @t73))) % 1.72/1.97 (assume @p77 (forall @t74 (= (tptp.ti @t61 @t73) @t73))) % 1.72/1.97 (assume @p78 (= (tptp.ti @t53 tptp.twoSqu658283162sum2sq) tptp.twoSqu658283162sum2sq)) % 1.72/1.97 (assume @p79 (forall @t24 (= (tptp.twoSqu1929807760sum2sq (tptp.ti @t67 @t2)) @t75))) % 1.72/1.97 (assume @p80 (forall @t24 (= (tptp.ti tptp.int @t75) @t75))) % 1.72/1.97 (assume @p81 (forall @t50 (= (tptp.inv @t49 @t1) @t76))) % 1.72/1.97 (assume @p82 (forall @t50 (= (tptp.inv @t2 @t51) @t76))) % 1.72/1.97 (assume @p83 (forall @t50 (= (tptp.ti tptp.int @t76) @t76))) % 1.72/1.97 (assume @p84 (forall @t50 (= (tptp.wset @t49 @t1) @t77))) % 1.72/1.97 (assume @p85 (forall @t50 (= (tptp.wset @t2 @t51) @t77))) % 1.72/1.97 (assume @p86 (forall @t50 (= (tptp.ti @t53 @t77) @t77))) % 1.72/1.97 (assume @p87 (= (tptp.ti (tptp.fun tptp.bool @t78) tptp.fconj) tptp.fconj)) % 1.72/1.97 (assume @p88 (forall @t80 (= (tptp.hAPP @t3 @t4 (tptp.ti @t10 @t2) @t1) @t79))) % 1.72/1.97 (assume @p89 (forall @t80 (= (tptp.hAPP @t3 @t4 @t2 (tptp.ti @t3 @t1)) @t79))) % 1.72/1.97 (assume @p90 (forall (@list @t4 @t3 @t2 @t1) (= (tptp.ti @t4 @t79) @t79))) % 1.72/1.97 (assume @p91 (forall @t24 (= (tptp.hBOOL (tptp.ti tptp.bool @t2)) (tptp.hBOOL @t2)))) % 1.72/1.97 (assume @p92 (forall @t74 (= (tptp.member @t3 @t17) @t81))) % 1.72/1.97 (assume @p93 (forall @t74 (= (tptp.ti (tptp.fun @t61 tptp.bool) @t81) @t81))) % 1.72/1.97 (assume @p94 (= (tptp.ti tptp.int tptp.m) tptp.m)) % 1.72/1.97 (assume @p95 (= (tptp.ti tptp.int tptp.s1) tptp.s1)) % 1.72/1.97 (assume @p96 (= (tptp.ti tptp.int tptp.s) tptp.s)) % 1.72/1.97 (assume @p97 (= (tptp.ti tptp.int tptp.t) tptp.t)) % 1.72/1.97 (assume @p98 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t84 @t82))) % 1.72/1.97 (assume @p99 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t84 @t85))) % 1.72/1.97 (assume @p100 @t96) % 1.72/1.97 (assume @p101 (= @t99 @t93)) % 1.72/1.97 (assume @p102 (=> (= tptp.t @t82) (= @t99 @t82))) % 1.72/1.97 (assume @p103 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t101 tptp.t)))) % 1.72/1.97 (assume @p104 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t90))) % 1.72/1.97 (assume @p105 (forall @t27 (=> @t111 (forall @t110 (not (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t109) @t45))))))) % 1.72/1.97 (assume @p106 (forall @t27 (=> @t111 (forall @t121 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t119)) @t118))))) % 1.72/1.97 (assume @p107 (forall @t27 (=> @t111 (forall @t121 (= (= @t119 @t45) @t122))))) % 1.72/1.97 (assume @p108 (forall @t27 (=> @t111 (forall @t126 (not (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t125) @t45))))))) % 1.72/1.97 (assume @p109 (forall @t27 (=> @t111 (forall @t132 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t131)) (not @t129)))))) % 1.72/1.97 (assume @p110 (forall @t27 (=> @t134 (= (tptp.hAPP tptp.nat @t3 @t133 @t97) @t25)))) % 1.72/1.97 (assume @p111 (forall @t27 (=> @t134 (= (tptp.hAPP tptp.nat @t3 @t135 @t97) @t45)))) % 1.72/1.97 (assume @p112 (forall @t27 (=> @t136 (forall @t132 (= (= @t131 @t45) @t129))))) % 1.72/1.97 (assume @p113 (forall @t27 (=> @t142 (forall @t141 (= @t140 (tptp.number_number_of @t3 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t86) @t137))))))) % 1.72/1.97 (assume @p114 (forall @t27 (=> @t142 (forall (@list @t143) (= (tptp.hAPP @t3 @t3 @t146 @t25) (tptp.number_number_of @t3 (tptp.hAPP tptp.int tptp.int @t144 @t86))))))) % 1.72/1.97 (assume @p115 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t84 @t90))) % 1.72/1.97 (assume @p116 @t149) % 1.72/1.97 (assume @p117 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime @t90))) % 1.72/1.97 (assume @p118 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.twoSqu658283162sum2sq @t93))) % 1.72/1.97 (assume @p119 (forall @t141 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t150 @t137)))) % 1.72/1.97 (assume @p120 (forall @t153 (= (tptp.number_number_of tptp.int @t151) @t152))) % 1.72/1.97 (assume @p121 (forall @t157 (= (tptp.hAPP tptp.int tptp.int @t156 @t137) (tptp.hAPP tptp.int tptp.int @t155 @t154)))) % 1.72/1.97 (assume @p122 (forall @t157 (or @t160 @t158))) % 1.72/1.97 (assume @p123 (forall @t165 (= (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t164) @t163) (tptp.number_number_of tptp.int @t162)))) % 1.72/1.97 (assume @p124 (forall @t172 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t171) @t170)) @t169))) % 1.72/1.97 (assume @p125 (forall @t27 (=> @t177 (forall @t121 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t176 @t174)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t173 @t112))))))) % 1.72/1.97 (assume @p126 (forall @t183 (= (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int (tptp.hAPP tptp.int tptp.int @t182 @t179)) @t178) (tptp.hAPP tptp.int tptp.int @t182 (tptp.hAPP tptp.int tptp.int @t180 @t178))))) % 1.72/1.97 (assume @p127 (forall @t188 (=> @t187 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t186) @t151)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t185 @t151)))))) % 1.72/1.97 (assume @p128 (forall @t157 (=> @t160 (=> @t158 (= @t189 (tptp.ti tptp.int @t137)))))) % 1.72/1.97 (assume @p129 (forall @t195 (= (tptp.hAPP tptp.nat tptp.int @t190 @t194) (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t192) @t191)))) % 1.72/1.97 (assume @p130 (forall @t202 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t201 @t199)) @t198))) % 1.72/1.97 (assume @p131 (forall @t172 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t205 @t203)) @t169))) % 1.72/1.97 (assume @p132 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t206 tptp.pls))) % 1.72/1.97 (assume @p133 (forall @t202 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t209 @t207)) @t198))) % 1.72/1.97 (assume @p134 (forall @t172 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t212 @t210)) @t169))) % 1.72/1.97 (assume @p135 (forall (@list @t215 @t213) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t217 @t213)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t215) @t213)) (not (= @t216 @t214)))))) % 1.72/1.97 (assume @p136 (forall @t188 (=> @t187 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 (tptp.hAPP tptp.int tptp.int @t218 @t184)) (tptp.hAPP tptp.int tptp.int @t218 @t186)))))) % 1.72/1.97 (assume @p137 (forall @t224 (= (= @t223 @t222) @t221))) % 1.72/1.97 (assume @p138 (forall @t224 (= (= @t222 @t223) @t221))) % 1.72/1.97 (assume @p139 (forall @t27 (=> @t232 (forall @t231 (=> @t230 (=> @t229 (= (tptp.hAPP @t3 @t3 @t228 @t227) (tptp.number_number_of @t3 @t226)))))))) % 1.72/1.97 (assume @p140 (forall @t27 (=> @t142 (forall @t234 (= (tptp.hAPP @t3 @t3 @t228 (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t138) @t154)) (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t233) @t154)))))) % 1.72/1.97 (assume @p141 (forall @t27 (=> @t142 (forall @t165 (= @t235 @t233))))) % 1.72/1.97 (assume @p142 (forall @t27 (=> @t142 (forall @t165 (= @t233 @t235))))) % 1.72/1.97 (assume @p143 (forall @t27 (=> @t238 (forall @t121 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t237) @t45)) @t122))))) % 1.72/1.97 (assume @p144 (forall @t27 (=> @t244 (forall @t110 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t242)))))) % 1.72/1.97 (assume @p145 (forall @t27 (=> @t177 (forall @t245 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t176 @t45)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t173 tptp.pls))))))) % 1.72/1.97 (assume @p146 (forall @t27 (=> @t177 (forall @t246 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t174)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t206 @t112))))))) % 1.72/1.97 (assume @p147 (forall @t224 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t223)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t247 @t219))))) % 1.72/1.97 (assume @p148 (forall @t27 (=> (and @t59 @t31) (forall (@list @t219 @t213) (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t251) @t252)) (not (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t252) @t251)))))))) % 1.72/1.97 (assume @p149 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t206 @t204)) @t253))) % 1.72/1.97 (assume @p150 (forall @t202 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t209 @t199)) @t198))) % 1.72/1.97 (assume @p151 (forall @t172 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t212 @t203)) @t169))) % 1.72/1.97 (assume @p152 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t212 tptp.pls)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t168 tptp.pls))))) % 1.72/1.97 (assume @p153 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t206 @t211)) @t253))) % 1.72/1.97 (assume @p154 (forall (@list @t257 @t154 @t258 @t137) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t258) @t137)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t257) @t154)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t258) @t257)) @t256)))))) % 1.72/1.97 (assume @p155 (= @t259 @t222)) % 1.72/1.97 (assume @p156 (= @t222 @t259)) % 1.72/1.97 (assume @p157 (forall @t27 (=> @t177 (forall @t245 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t176 @t25)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t173 @t86))))))) % 1.72/1.97 (assume @p158 (forall @t27 (=> @t177 (forall @t246 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t260 @t174)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t86) @t112))))))) % 1.72/1.97 (assume @p159 (= (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t261) @t261) @t97)) % 1.72/1.97 (assume @p160 (forall @t141 (= (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int tptp.pls) @t137) tptp.pls))) % 1.72/1.97 (assume @p161 (forall @t266 (= (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t265) @t262) @t264))) % 1.72/1.97 (assume @p162 (forall @t172 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t171) @t170)) @t268))) % 1.72/1.97 (assume @p163 (forall @t269 (= (tptp.hAPP tptp.int tptp.int @t156 @t85) @t189))) % 1.72/1.97 (assume @p164 (forall @t269 (= (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t85) @t154) @t189))) % 1.72/1.97 (assume @p165 (forall @t165 (= (tptp.hAPP tptp.int tptp.int @t271 @t163) (tptp.number_number_of tptp.int @t270)))) % 1.72/1.97 (assume @p166 (forall @t276 (= (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t275) @t137) (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t273) @t272)))) % 1.72/1.97 (assume @p167 (forall @t279 (= (tptp.hAPP tptp.int tptp.int @t155 @t275) (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t278) @t277)))) % 1.72/1.97 (assume @p168 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t205 tptp.pls)) @t280))) % 1.72/1.97 (assume @p169 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t247 @t204)) @t253))) % 1.72/1.97 (assume @p170 (forall @t202 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t201 @t207)) @t281))) % 1.72/1.97 (assume @p171 (forall @t172 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t205 @t210)) @t268))) % 1.72/1.97 (assume @p172 (forall @t202 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t282 @t199)) @t198))) % 1.72/1.97 (assume @p173 (forall (@list @t3 @t115 @t283) (= (tptp.hBOOL (tptp.hAPP @t61 tptp.bool (tptp.member @t3 @t115) @t283)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t283 @t115))))) % 1.72/1.97 (assume @p174 (forall (@list @t3 @t284) (= (tptp.collect @t3 @t284) (tptp.ti @t61 @t284)))) % 1.72/1.97 (assume @p175 (forall @t172 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t285 @t203)) @t169))) % 1.72/1.97 (assume @p176 (forall @t289 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t223) @t288)) (and (=> @t287 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t247 @t286))) @t287)))) % 1.72/1.97 (assume @p177 (forall @t290 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t101 @t215)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t215))))) % 1.72/1.97 (assume @p178 (= @t291 @t261)) % 1.72/1.97 (assume @p179 (= @t261 @t291)) % 1.72/1.97 (assume @p180 (forall (@list @t137 @t154) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t137) @t154)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 (tptp.hAPP tptp.int tptp.int @t255 @t85)) @t154))))) % 1.72/1.97 (assume @p181 (forall @t294 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t213) @t85)) @t215)) @t293))) % 1.72/1.97 (assume @p182 (forall @t294 (= @t296 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t295 @t215))))) % 1.72/1.97 (assume @p183 (forall @t27 (=> @t232 (forall @t231 (=> @t230 (=> @t229 (= (tptp.hAPP @t3 @t3 @t146 @t227) (tptp.number_number_of @t3 @t297)))))))) % 1.72/1.97 (assume @p184 (forall @t231 (and (=> @t302 (= @t300 @t298)) (=> @t303 (and (=> @t301 (= @t300 @t299)) (=> (not @t301) (= @t300 (tptp.number_number_of tptp.nat @t297)))))))) % 1.72/1.97 (assume @p185 (forall @t269 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t154)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t305))))) % 1.72/1.97 (assume @p186 (forall @t27 (=> (and @t142 (tptp.ring_char_0 @t3)) (forall @t121 (= (= @t175 @t174) (= @t307 (tptp.ti tptp.int @t112))))))) % 1.72/1.97 (assume @p187 (forall @t27 (=> @t59 (forall (@list @t213 @t115) (= (= @t252 @t116) (= @t116 @t252)))))) % 1.72/1.97 (assume @p188 (forall @t172 (= (= @t204 @t203) @t310))) % 1.72/1.97 (assume @p189 (forall @t172 (= (= @t211 @t210) @t310))) % 1.72/1.97 (assume @p190 (forall @t110 (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t315 @t103)) @t314 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t311 @t106))))) % 1.72/1.97 (assume @p191 (forall @t27 (=> @t238 (forall @t121 (= (= @t237 @t45) @t122))))) % 1.72/1.97 (assume @p192 (forall @t323 (=> @t322 (forall @t320 (= (tptp.hAPP @t5 @t5 (tptp.times_times @t5 (tptp.hAPP @t5 @t5 (tptp.plus_plus @t5 @t123) @t317)) @t316) (tptp.hAPP @t5 @t5 (tptp.plus_plus @t5 @t319) @t318)))))) % 1.72/1.97 (assume @p193 (forall @t323 (=> @t322 (forall @t328 (= (tptp.hAPP @t5 @t5 @t325 (tptp.hAPP @t5 @t5 (tptp.plus_plus @t5 @t317) @t324)) (tptp.hAPP @t5 @t5 (tptp.plus_plus @t5 @t327) @t326)))))) % 1.72/1.97 (assume @p194 (forall @t183 (= (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t275) @t178) (tptp.hAPP tptp.int tptp.int @t274 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t179) @t178))))) % 1.72/1.97 (assume @p195 (forall @t195 (= (tptp.hAPP tptp.int tptp.int @t329 (tptp.hAPP tptp.int tptp.int @t330 @t154)) (tptp.hAPP tptp.int tptp.int @t330 (tptp.hAPP tptp.int tptp.int @t329 @t154))))) % 1.72/1.97 (assume @p196 (forall @t157 (= (tptp.hAPP tptp.int tptp.int @t331 @t137) @t256))) % 1.72/1.97 (assume @p197 (= @t82 @t332)) % 1.72/1.97 (assume @p198 (forall @t188 (=> @t333 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t151)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 (tptp.hAPP tptp.int tptp.int @t263 @t184)) (tptp.hAPP tptp.int tptp.int @t263 @t186))))))) % 1.72/1.97 (assume @p199 (forall @t27 (=> @t338 (forall @t110 (=> (= @t108 @t105) (=> @t337 (=> @t336 @t335))))))) % 1.72/1.97 (assume @p200 (forall @t27 (=> @t338 (forall @t110 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t108) @t105)) (=> @t336 @t340)))))) % 1.72/1.97 (assume @p201 (forall @t27 (=> @t111 (forall @t126 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t125)))))) % 1.72/1.97 (assume @p202 (forall @t27 (=> @t338 (forall @t110 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t108) @t105)) (=> @t336 @t342)))))) % 1.72/1.97 (assume @p203 (forall @t27 (=> @t111 (forall @t121 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t119) @t45)) @t122))))) % 1.72/1.97 (assume @p204 (forall @t27 (=> @t111 (forall @t110 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t109)))))) % 1.72/1.97 (assume @p205 (forall @t27 (=> @t238 (forall @t121 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t237)) @t118))))) % 1.72/1.97 (assume @p206 (forall @t27 (=> @t244 (forall @t110 (not (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t242) @t45))))))) % 1.72/1.97 (assume @p207 (forall @t27 (=> @t142 (forall @t126 (= (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t344) @t123) @t343))))) % 1.72/1.97 (assume @p208 (forall @t27 (=> @t142 (forall @t126 (= (tptp.hAPP @t3 @t3 @t345 @t344) @t343))))) % 1.72/1.97 (assume @p209 (= @t85 (tptp.number_number_of tptp.int @t86))) % 1.72/1.97 (assume @p210 (forall @t266 (= (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t346) @t262) (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t264) @t262)))) % 1.72/1.97 (assume @p211 (forall @t355 (=> @t354 (= @t353 @t351)))) % 1.72/1.97 (assume @p212 (forall @t27 (=> @t358 (forall @t132 (= (= @t357 @t45) @t129))))) % 1.72/1.97 (assume @p213 (forall @t153 (not (= @t346 tptp.pls)))) % 1.72/1.97 (assume @p214 (forall @t360 (not (= tptp.pls @t359)))) % 1.72/1.97 (assume @p215 (forall @t266 (not (= @t346 @t361)))) % 1.72/1.97 (assume @p216 (forall @t266 (not (= @t265 @t359)))) % 1.72/1.97 (assume @p217 (forall @t254 (= (= @t211 tptp.pls) (= @t309 tptp.pls)))) % 1.72/1.97 (assume @p218 (forall @t362 (= (= tptp.pls @t210) (= tptp.pls @t308)))) % 1.72/1.97 (assume @p219 (= (tptp.bit0 tptp.pls) tptp.pls)) % 1.72/1.97 (assume @p220 (= tptp.pls @t82)) % 1.72/1.97 (assume @p221 (forall @t202 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t363 @t199)) @t281))) % 1.72/1.97 (assume @p222 (forall @t172 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t364 @t203)) @t268))) % 1.72/1.97 (assume @p223 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t247 tptp.pls)))) % 1.72/1.97 (assume @p224 (forall @t202 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t282 @t207)) @t281))) % 1.72/1.97 (assume @p225 (forall @t172 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t285 @t210)) @t268))) % 1.72/1.97 (assume @p226 (not (= @t82 @t85))) % 1.72/1.97 (assume @p227 (forall @t153 (= (tptp.hAPP tptp.int tptp.int @t218 tptp.pls) @t152))) % 1.72/1.97 (assume @p228 (forall @t153 (= (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int tptp.pls) @t151) @t152))) % 1.72/1.97 (assume @p229 (forall @t266 (= (tptp.hAPP tptp.int tptp.int @t366 @t361) (tptp.bit0 @t365)))) % 1.72/1.97 (assume @p230 (forall @t153 (= @t265 (tptp.hAPP tptp.int tptp.int @t218 @t151)))) % 1.72/1.97 (assume @p231 (forall @t269 (= (tptp.hAPP tptp.int tptp.int @t331 @t82) @t189))) % 1.72/1.97 (assume @p232 (forall @t269 (= (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t82) @t154) @t189))) % 1.72/1.97 (assume @p233 (forall @t188 (=> @t333 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t184) @t151)) (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t186) @t151)))))) % 1.72/1.97 (assume @p234 (forall @t27 (=> @t142 (forall @t141 (= (tptp.hAPP @t3 @t3 @t370 @t138) @t368))))) % 1.72/1.97 (assume @p235 (forall @t27 (=> @t374 (forall @t126 (= (tptp.hAPP tptp.nat @t3 @t124 @t373) (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t371) @t123)))))) % 1.72/1.97 (assume @p236 (forall @t27 (=> @t232 @t378))) % 1.72/1.97 (assume @p237 (forall @t27 (=> @t142 @t378))) % 1.72/1.97 (assume @p238 (forall @t27 (=> @t232 @t379))) % 1.72/1.97 (assume @p239 (forall @t27 (=> @t142 @t379))) % 1.72/1.97 (assume @p240 (forall @t27 (=> @t374 (forall @t126 (= @t125 @t371))))) % 1.72/1.97 (assume @p241 (forall @t27 (=> @t111 @t381))) % 1.72/1.97 (assume @p242 (forall @t27 (=> @t232 @t383))) % 1.72/1.97 (assume @p243 (forall @t27 (=> @t142 @t383))) % 1.72/1.97 (assume @p244 (forall @t27 (=> @t142 (= @t45 @t382)))) % 1.72/1.97 (assume @p245 (forall @t27 (=> @t142 (forall @t126 (= (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t382) @t123) @t343))))) % 1.72/1.97 (assume @p246 (forall @t27 (=> @t142 (forall @t126 (= (tptp.hAPP @t3 @t3 @t384 @t382) @t343))))) % 1.72/1.97 (assume @p247 (forall @t27 (=> @t177 (forall @t121 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t386 @t174)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t385 @t112))))))) % 1.72/1.97 (assume @p248 (forall @t27 (=> @t142 (forall @t234 (= (tptp.hAPP @t3 @t3 @t146 (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t138) @t154)) (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t387) @t154)))))) % 1.72/1.97 (assume @p249 (forall @t27 (=> @t142 (forall @t165 (= @t388 @t387))))) % 1.72/1.97 (assume @p250 (forall @t27 (=> @t142 (forall @t165 (= @t387 @t388))))) % 1.72/1.97 (assume @p251 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t364 tptp.pls)) @t280))) % 1.72/1.97 (assume @p252 (forall @t202 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t363 @t207)) @t281))) % 1.72/1.97 (assume @p253 (forall @t172 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t364 @t210)) @t268))) % 1.72/1.97 (assume @p254 (forall @t390 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 (tptp.bit1 @t213)) @t82)) @t389))) % 1.72/1.97 (assume @p255 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t285 tptp.pls)) @t280))) % 1.72/1.97 (assume @p256 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t247 @t211)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t247 @t167))))) % 1.72/1.97 (assume @p257 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t247 @t82)))) % 1.72/1.97 (assume @p258 (forall @t390 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 (tptp.bit0 @t213)) @t82)) @t389))) % 1.72/1.97 (assume @p259 (forall @t266 (= (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t346) @t361) @t391))) % 1.72/1.97 (assume @p260 (forall @t266 (= (tptp.hAPP tptp.int tptp.int @t366 @t359) @t391))) % 1.72/1.97 (assume @p261 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t85))) % 1.72/1.97 (assume @p262 (forall @t153 (= @t346 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int @t304 @t151)) @t151)))) % 1.72/1.97 (assume @p263 (forall @t269 (not (= (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t305) @t154) @t82)))) % 1.72/1.97 (assume @p264 (forall @t294 (= @t296 (or @t293 (= @t214 @t216))))) % 1.72/1.97 (assume @p265 (forall @t323 (=> (and (tptp.monoid_mult @t5) @t321) (forall @t141 (= (tptp.hAPP tptp.nat @t5 (tptp.power_power @t5 @t392) @t97) (tptp.hAPP @t5 @t5 (tptp.times_times @t5 @t392) @t392)))))) % 1.72/1.97 (assume @p266 (forall @t27 (=> @t232 (forall @t110 (= (tptp.hAPP tptp.nat @t3 (tptp.power_power @t3 @t395) @t97) (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t109) @t393)))))) % 1.72/1.97 (assume @p267 (forall @t27 (=> @t142 (forall @t141 (= @t368 (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 @t396 @t138)) @t138)))))) % 1.72/1.97 (assume @p268 (forall @t27 (=> @t142 (forall @t141 (= (tptp.number_number_of @t3 (tptp.bit1 @t137)) (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t140) @t138)))))) % 1.72/1.97 (assume @p269 (forall @t27 (=> @t232 @t397))) % 1.72/1.97 (assume @p270 (forall @t27 (=> @t142 @t397))) % 1.72/1.97 (assume @p271 (forall @t27 (=> @t142 (= @t25 @t344)))) % 1.72/1.97 (assume @p272 (forall @t290 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int @t304 @t215)) @t215)) @t82)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t217 @t82))))) % 1.72/1.97 (assume @p273 (forall @t27 (=> @t177 (forall @t245 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t386 @t45)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t385 tptp.pls))))))) % 1.72/1.97 (assume @p274 (forall @t27 (=> @t177 (forall @t246 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t174)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t247 @t112))))))) % 1.72/1.97 (assume @p275 (forall @t27 (=> @t232 @t398))) % 1.72/1.97 (assume @p276 (forall @t27 (=> @t142 @t398))) % 1.72/1.97 (assume @p277 (forall @t27 (=> @t177 (forall @t245 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t386 @t25)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t385 @t86))))))) % 1.72/1.97 (assume @p278 (forall @t27 (=> @t177 (forall @t246 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t399 @t174)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t86) @t112))))))) % 1.72/1.97 (assume @p279 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t401 @t99))) % 1.72/1.97 (assume @p280 (forall @t415 (= (tptp.hAPP tptp.nat tptp.int @t414 @t373) (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.int tptp.int (tptp.plus_plus tptp.int @t411) @t410)) @t407)) @t403)))) % 1.72/1.97 (assume @p281 (forall @t415 (= (tptp.hAPP tptp.nat tptp.int @t414 @t97) (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t409) @t419)) @t404)))) % 1.72/1.97 (assume @p282 (forall @t422 (=> @t421 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t315 @t416)) (or @t420 (= @t313 @t85)))))) % 1.72/1.97 (assume @p283 (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 tptp.s)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 tptp.s) @t90)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong tptp.s1 tptp.s) @t90)))) % 1.72/1.97 (assume @p284 (forall @t126 (= (tptp.hAPP tptp.int tptp.int @t423 @t409) @t411))) % 1.72/1.97 (assume @p285 (forall @t422 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t106) @t424)))) % 1.72/1.97 (assume @p286 (forall @t432 (=> @t431 (=> @t430 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t427 @t123)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t101 @t425))))))) % 1.72/1.97 (assume @p287 (forall @t432 (=> @t431 (=> @t430 (=> @t434 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t433 @t85))))))) % 1.72/1.97 (assume @p288 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t416))) % 1.72/1.97 (assume @p289 (forall @t27 (=> @t440 (forall @t439 (= (tptp.hAPP tptp.nat @t3 @t107 @t438) (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t436) @t436)))))) % 1.72/1.97 (assume @p290 (forall @t27 (=> @t440 (forall @t422 (= @t241 @t108))))) % 1.72/1.97 (assume @p291 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t98 @t441) @t90))) % 1.72/1.97 (assume @p292 (exists @t450 (and @t449 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t448 @t90)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong tptp.s1 @t442) @t90)) (forall @t447 (=> (and @t446 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t445 @t90)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong tptp.s1 @t443) @t90))) @t444))))) % 1.72/1.97 (assume @p293 (not (forall (@list @t451) (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t451)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t451) @t90)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong tptp.s1 @t451) @t90))))))) % 1.72/1.97 (assume @p294 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t441 @t452) @t90))) % 1.72/1.97 (assume @p295 (forall @t458 (= @t457 (or @t454 @t453)))) % 1.72/1.97 (assume @p296 (forall (@list @t123 @t435 @t459) (=> @t463 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t460 @t462)) @t461)))) % 1.72/1.97 (assume @p297 (forall @t27 (=> @t440 (forall @t466 (= (tptp.hAPP tptp.nat @t3 (tptp.power_power @t3 @t465) @t425) (tptp.hAPP tptp.nat @t3 @t107 (tptp.hAPP tptp.nat tptp.nat @t464 @t425))))))) % 1.72/1.97 (assume @p298 (forall (@list @t435 @t123 @t317 @t459) (=> @t463 (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t460 @t317))) (=> @t469 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t467 @t123))))))) % 1.72/1.97 (assume @p299 (forall (@list @t435 @t317 @t123 @t459) (=> @t463 (=> (not @t461) (=> @t469 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t467 @t317))))))) % 1.72/1.97 (assume @p300 (forall @t195 (= (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int @t192) @t154) @t470))) % 1.72/1.97 (assume @p301 (forall @t474 (=> @t473 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t471) @t435)) (not @t472))))) % 1.72/1.97 (assume @p302 (forall @t474 (=> @t478 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t435)) (=> @t477 (=> @t472 (= @t475 (tptp.ti tptp.int @t435)))))))) % 1.72/1.97 (assume @p303 (forall @t479 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t400 (tptp.hAPP tptp.int tptp.int @t263 @t471)) (tptp.hAPP tptp.int tptp.int @t263 @t435))) (=> (not (= @t152 @t82)) @t477)))) % 1.72/1.97 (assume @p304 (forall (@list @t167 @t347 @t349) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t480 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t347) @t482))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t480 @t347))))) % 1.72/1.97 (assume @p305 (forall (@list @t485 @t115 @t483 @t127 @t484) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t487 @t484)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t487 (tptp.hAPP tptp.int tptp.int @t486 @t483))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t487 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int @t486 (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t485) @t484))) @t483))))))) % 1.72/1.97 (assume @p306 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime @t416))) % 1.72/1.97 (assume @p307 (forall (@list @t154 @t435) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t400 @t154) @t435)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t435)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t159 @t435)))))) % 1.72/1.97 (assume @p308 (forall @t490 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.twoSqu658283162sum2sq @t106)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.twoSqu658283162sum2sq @t103)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.twoSqu658283162sum2sq @t489)))))) % 1.72/1.97 (assume @p309 (forall @t289 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t223) @t288)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t220 @t286))) @t221)))) % 1.72/1.97 (assume @p310 (forall @t27 (=> @t440 (forall @t503 (= @t502 (tptp.hAPP @t3 @t3 @t498 (tptp.hAPP @t3 @t3 @t494 @t492))))))) % 1.72/1.97 (assume @p311 (forall @t27 (=> @t440 (forall @t503 (= @t502 (tptp.hAPP @t3 @t3 @t499 (tptp.hAPP @t3 @t3 @t501 @t492))))))) % 1.72/1.97 (assume @p312 (forall @t27 (=> @t440 (forall @t503 (= @t502 (tptp.hAPP @t3 @t3 @t497 (tptp.hAPP @t3 @t3 @t494 @t500))))))) % 1.72/1.97 (assume @p313 (forall @t27 (=> @t440 (forall @t505 (= @t504 (tptp.hAPP @t3 @t3 @t498 @t493)))))) % 1.72/1.97 (assume @p314 (forall @t27 (=> @t440 (forall @t505 (= @t504 (tptp.hAPP @t3 @t3 @t497 (tptp.hAPP @t3 @t3 @t494 @t495))))))) % 1.72/1.97 (assume @p315 (forall @t27 (=> @t440 (forall @t507 (= @t506 (tptp.hAPP @t3 @t3 @t498 @t492)))))) % 1.72/1.97 (assume @p316 (forall @t27 (=> @t440 (forall @t507 (= @t506 (tptp.hAPP @t3 @t3 @t499 (tptp.hAPP @t3 @t3 @t497 @t492))))))) % 1.72/1.97 (assume @p317 (forall @t27 (=> @t440 (forall @t415 (= @t510 @t509))))) % 1.72/1.97 (assume @p318 (forall @t27 (=> @t440 (forall (@list @t123 @t324) (= @t513 @t512))))) % 1.72/1.97 (assume @p319 (forall @t27 (=> @t440 (forall @t517 (= @t516 (tptp.hAPP @t3 @t3 @t511 (tptp.hAPP @t3 @t3 @t384 @t514))))))) % 1.72/1.97 (assume @p320 (forall @t27 (=> @t440 (forall @t517 (= @t516 (tptp.hAPP @t3 @t3 @t518 @t514)))))) % 1.72/1.97 (assume @p321 (forall @t27 (=> @t440 @t525))) % 1.72/1.97 (assume @p322 (forall @t27 (=> @t440 (forall @t524 (= @t523 (tptp.hAPP @t3 @t3 @t518 @t317)))))) % 1.72/1.97 (assume @p323 (forall @t27 (=> @t440 (forall (@list @t123 @t317 @t324 @t514) (= (tptp.hAPP @t3 @t3 @t522 @t515) (tptp.hAPP @t3 @t3 @t518 @t526)))))) % 1.72/1.97 (assume @p324 (forall @t27 (=> @t440 (forall @t422 (= (tptp.hAPP tptp.nat @t3 @t107 @t261) @t334))))) % 1.72/1.97 (assume @p325 (forall (@list @t115 @t213) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 (tptp.hAPP tptp.nat tptp.nat @t455 @t527))) (or @t528 @t453)))) % 1.72/1.97 (assume @p326 (forall @t269 (= (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t154) @t97) @t529))) % 1.72/1.97 (assume @p327 (forall @t269 (= (tptp.hAPP tptp.nat tptp.nat @t437 @t154) @t529))) % 1.72/1.97 (assume @p328 (forall @t231 (and (=> @t302 (= @t532 @t222)) (=> @t303 (= @t532 @t530))))) % 1.72/1.97 (assume @p329 (forall (@list @t225 @t151 @t143) (and (=> @t302 (= @t533 @t222)) (=> @t303 (= @t533 (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t530) @t151)))))) % 1.72/1.97 (assume @p330 (forall @t27 (=> @t374 (forall @t536 (= @t535 (tptp.hAPP tptp.nat @t3 (tptp.power_power @t3 @t534) @t97)))))) % 1.72/1.97 (assume @p331 (forall @t27 (=> @t111 (forall (@list @t123 @t151) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 (tptp.hAPP tptp.nat @t3 @t124 (tptp.hAPP tptp.nat tptp.nat @t437 @t151))) @t45)) @t537))))) % 1.72/1.97 (assume @p332 (forall @t27 (=> @t440 @t539))) % 1.72/1.97 (assume @p333 @t543) % 1.72/1.97 (assume @p334 (forall @t27 (=> @t440 @t544))) % 1.72/1.97 (assume @p335 (forall @t27 (=> @t440 @t545))) % 1.72/1.97 (assume @p336 (forall @t27 (=> @t551 (forall @t550 (= (= @t549 @t548) @t129))))) % 1.72/1.97 (assume @p337 (forall @t27 (=> @t440 (forall @t195 (= (tptp.hAPP @t3 @t3 @t240 (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t103) @t154)) (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t552) (tptp.hAPP @t3 @t3 @t240 @t154))))))) % 1.72/1.97 (assume @p338 (forall @t27 (=> @t551 (forall (@list @t485 @t484 @t127 @t546) (= (and (not @t560) (not @t559)) (not (= (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t556) (tptp.hAPP @t3 @t3 @t553 @t484)) (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 @t555 @t484)) @t554)))))))) % 1.72/1.97 (assume @p339 (forall @t27 (=> @t440 @t564))) % 1.72/1.97 (assume @p340 (forall @t27 (=> @t440 (forall @t567 (= (tptp.hAPP @t3 @t3 @t566 (tptp.hAPP @t3 @t3 @t508 @t471)) (tptp.hAPP @t3 @t3 @t563 @t471)))))) % 1.72/1.97 (assume @p341 (forall @t27 (=> @t551 (forall (@list @t213 @t112 @t115 @t215) (= (= (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 @t568 @t112)) (tptp.hAPP @t3 @t3 @t236 @t215)) (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 @t568 @t215)) (tptp.hAPP @t3 @t3 @t236 @t112))) (or (= (tptp.ti @t3 @t213) @t116) (= @t113 (tptp.ti @t3 @t215)))))))) % 1.72/1.97 (assume @p342 (forall @t27 (=> @t440 @t569))) % 1.72/1.97 (assume @p343 (forall @t27 (=> @t440 @t570))) % 1.72/1.97 (assume @p344 (forall @t27 (=> @t440 (forall (@list @t106 @t103 @t425) (= (tptp.hAPP tptp.nat @t3 (tptp.power_power @t3 @t552) @t425) (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t571) (tptp.hAPP tptp.nat @t3 @t104 @t425))))))) % 1.72/1.97 (assume @p345 (forall @t27 (=> @t440 (forall @t466 (= (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t465) @t571) (tptp.hAPP tptp.nat @t3 @t107 (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t459) @t425))))))) % 1.72/1.97 (assume @p346 (forall @t27 (=> @t440 (forall @t422 (= (tptp.hAPP tptp.nat @t3 @t107 @t222) @t25))))) % 1.72/1.97 (assume @p347 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t82))) % 1.72/1.97 (assume @p348 (forall @t27 (=> @t111 (forall @t536 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t535)))))) % 1.72/1.97 (assume @p349 (forall @t27 (=> @t551 (forall (@list @t324 @t514 @t123 @t317 @t426) (=> (not (= (tptp.ti @t3 @t426) @t45)) (=> (and @t575 (not (= @t573 (tptp.ti @t3 @t514)))) (not (= (tptp.hAPP @t3 @t3 @t384 (tptp.hAPP @t3 @t3 @t572 @t324)) (tptp.hAPP @t3 @t3 @t519 (tptp.hAPP @t3 @t3 @t572 @t514)))))))))) % 1.72/1.97 (assume @p350 (forall @t27 (=> @t440 (forall @t577 (= (tptp.hAPP @t3 @t3 @t576 @t471) (tptp.hAPP @t3 @t3 @t370 @t471)))))) % 1.72/1.97 (assume @p351 (forall @t27 (=> @t440 (forall @t580 (= (tptp.hAPP @t3 @t3 @t576 @t565) @t579))))) % 1.72/1.97 (assume @p352 (forall @t27 (=> @t440 (forall @t581 (= (tptp.hAPP @t3 @t3 @t566 @t471) @t579))))) % 1.72/1.97 (assume @p353 (forall @t27 (=> @t583 (forall (@list @t127 @t213) (= (= (tptp.hAPP tptp.nat @t3 @t130 @t527) @t45) (and @t129 (not @t528))))))) % 1.72/1.97 (assume @p354 (forall @t585 (=> @t431 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t468)) @t584)))) % 1.72/1.97 (assume @p355 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t85))) % 1.72/1.97 (assume @p356 (forall @t490 (=> @t421 (=> @t586 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t489)))))) % 1.72/1.97 (assume @p357 (forall @t490 (=> @t421 (=> @t586 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 (tptp.hAPP tptp.int tptp.int @t329 @t103))))))) % 1.72/1.97 (assume @p358 (forall (@list @t435 @t106) (=> @t421 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 (tptp.hAPP tptp.nat tptp.int @t190 @t435)))))) % 1.72/1.97 (assume @p359 (forall @t27 (=> @t591 (forall @t141 (and (=> @t589 (= @t588 @t25)) (=> (not @t589) (= @t588 @t45))))))) % 1.72/1.97 (assume @p360 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t405))) % 1.72/1.97 (assume @p361 (forall @t600 (=> @t599 (=> @t597 (=> @t594 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t592))))))) % 1.72/1.97 (assume @p362 (forall @t600 (=> @t603 (=> @t602 (=> @t594 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t601 @t82))))))) % 1.72/1.97 (assume @p363 (forall @t610 (=> @t609 (=> @t602 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t596 @t317)) (=> @t605 @t604)))))) % 1.72/1.97 (assume @p364 (forall @t614 (=> @t613 (=> @t599 (=> @t597 (=> @t434 (=> @t594 (=> @t612 @t611)))))))) % 1.72/1.97 (assume @p365 (forall @t610 (=> @t609 (=> @t617 (=> @t616 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t615 @t595)) @t611)))))) % 1.72/1.97 (assume @p366 (forall @t614 (=> @t613 (=> @t603 (=> @t605 (=> @t602 (=> @t594 (=> @t612 @t604)))))))) % 1.72/1.97 (assume @p367 (forall @t422 (= (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int @t424) @t97) (tptp.hAPP tptp.nat tptp.int @t190 (tptp.number_number_of tptp.nat @t88))))) % 1.72/1.97 (assume @p368 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t98 @t452) @t90))) % 1.72/1.97 (assume @p369 (forall @t622 (=> @t621 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong (tptp.hAPP tptp.nat tptp.int @t619 @t97) @t106) @t459)) (not @t618))))) % 1.72/1.97 (assume @p370 (forall @t628 (= @t627 (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t626 @t623)) (forall (@list @t624) (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t624)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t400 @t624) @t623))) (or (= @t625 @t85) (= @t625 (tptp.ti tptp.int @t623))))))))) % 1.72/1.97 (assume @p371 (forall @t632 (=> @t463 (=> (not (= @t631 @t416)) (=> (not (= @t631 @t405)) @t630))))) % 1.72/1.97 (assume @p372 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t97))) % 1.72/1.97 (assume @p373 (forall @t27 (=> @t338 (forall @t640 (=> @t639 (=> @t637 (=> @t636 @t635))))))) % 1.72/1.97 (assume @p374 (forall @t27 (=> (tptp.linord626643107strict @t3) (forall @t647 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t341 @t123)) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t646 @t123)) (=> @t645 (=> @t644 (=> @t643 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t642) @t123))))))))))) % 1.72/1.97 (assume @p375 (forall (@list @t103 @t435 @t459) (=> @t463 (=> @t648 (=> @t636 @t618))))) % 1.72/1.97 (assume @p376 (forall @t27 (=> @t440 (forall @t126 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t649 @t45)))))) % 1.72/1.97 (assume @p377 (not (forall (@list @t650) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int @t650) @t97) @t452) @t90)))))) % 1.72/1.97 (assume @p378 @t651) % 1.72/1.97 (assume @p379 (forall @t254 (= (= @t204 tptp.min) (= @t309 tptp.min)))) % 1.72/1.97 (assume @p380 (forall @t362 (= (= tptp.min @t203) (= tptp.min @t308)))) % 1.72/1.97 (assume @p381 (= (tptp.bit1 tptp.min) tptp.min)) % 1.72/1.97 (assume @p382 (not (= tptp.pls tptp.min))) % 1.72/1.97 (assume @p383 (not (= tptp.min tptp.pls))) % 1.72/1.97 (assume @p384 (forall @t153 (not (= @t265 tptp.min)))) % 1.72/1.97 (assume @p385 (forall @t360 (not (= tptp.min @t361)))) % 1.72/1.97 (assume @p386 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t652 tptp.min)))) % 1.72/1.97 (assume @p387 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t653 tptp.min))) % 1.72/1.97 (assume @p388 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t364 tptp.min)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t267 tptp.min))))) % 1.72/1.97 (assume @p389 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t652 @t204)) @t654))) % 1.72/1.97 (assume @p390 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t247 tptp.min)))) % 1.72/1.97 (assume @p391 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t652 tptp.pls))) % 1.72/1.97 (assume @p392 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t652 @t211)) @t654))) % 1.72/1.97 (assume @p393 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t652 @t82))) % 1.72/1.97 (assume @p394 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t653 @t204)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t653 @t167))))) % 1.72/1.97 (assume @p395 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t205 tptp.min)) @t655))) % 1.72/1.97 (assume @p396 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t653 tptp.pls))) % 1.72/1.97 (assume @p397 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t206 tptp.min)))) % 1.72/1.97 (assume @p398 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t212 tptp.min)) @t655))) % 1.72/1.97 (assume @p399 (not (= @t332 @t452))) % 1.72/1.97 (assume @p400 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t285 tptp.min)) @t655))) % 1.72/1.97 (assume @p401 (forall @t254 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t653 @t211)) @t654))) % 1.72/1.97 (assume @p402 (forall @t656 (= @t353 (or @t351 (and (= @t350 @t452) (= @t348 @t452)))))) % 1.72/1.97 (assume @p403 (forall @t658 (=> (= @t657 @t85) (or (= @t475 @t85) (= @t475 @t452))))) % 1.72/1.97 (assume @p404 (forall @t27 (=> @t111 (forall @t110 (=> @t659 (=> (not @t342) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t646 @t106)))))))) % 1.72/1.97 (assume @p405 (forall @t27 (=> @t440 (forall @t126 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t649 @t123)))))) % 1.72/1.97 (assume @p406 (forall @t27 (=> @t440 (forall @t664 (=> @t663 (=> @t662 @t660)))))) % 1.72/1.97 (assume @p407 (forall @t667 (= @t666 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t546 @t127) @t349))))) % 1.72/1.97 (assume @p408 (forall @t668 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t151 @t151) @t471)))) % 1.72/1.97 (assume @p409 (forall (@list @t514 @t324 @t123 @t317 @t471) (=> @t673 (=> (= @t671 @t670) (=> @t669 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t123 @t514) @t471))))))) % 1.72/1.97 (assume @p410 (forall @t674 (=> @t673 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t317 @t324) @t471)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t123 @t324) @t471)))))) % 1.72/1.97 (assume @p411 (forall @t677 (=> @t676 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t106 @t452) @t459)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t106 @t85) @t459))))))) % 1.72/1.97 (assume @p412 (forall @t27 (=> @t63 (forall @t110 (=> @t340 (=> @t659 @t342)))))) % 1.72/1.97 (assume @p413 (forall @t27 (=> @t44 (forall @t415 (=> @t679 (or @t537 @t678)))))) % 1.72/1.97 (assume @p414 (forall @t27 (=> @t44 (forall @t585 (=> @t680 (=> (not @t678) (not @t679))))))) % 1.72/1.97 (assume @p415 (forall @t27 (=> (tptp.ring_n68954251visors @t3) (forall @t682 (= (= @t681 @t45) (or @t129 (= @t549 @t45))))))) % 1.72/1.97 (assume @p416 (forall @t27 (=> @t43 @t541))) % 1.72/1.97 (assume @p417 (forall @t27 (=> @t43 @t539))) % 1.72/1.97 (assume @p418 (forall @t27 (=> @t582 (not (= @t45 @t25))))) % 1.72/1.97 (assume @p419 (forall @t27 (=> @t582 (not (= @t25 @t45))))) % 1.72/1.97 (assume @p420 (forall @t27 (=> @t42 (forall (@list @t123 @t683 @t317 @t324) (= (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 @t345 @t683)) (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 @t508 @t683)) @t324)) (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 @t563 @t683)) @t324)))))) % 1.72/1.97 (assume @p421 (forall @t27 (=> (tptp.comm_semiring @t3) @t564))) % 1.72/1.97 (assume @p422 (forall @t27 (=> @t136 (forall @t684 (=> @t680 (not (= @t534 @t45))))))) % 1.72/1.97 (assume @p423 (forall @t27 (=> @t440 (forall @t126 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t72 @t45) @t123)) @t537))))) % 1.72/1.97 (assume @p424 (forall @t27 (=> @t686 (forall (@list @t123 @t317 @t435) (= (tptp.hAPP tptp.nat @t3 (tptp.power_power @t3 @t510) @t435) (tptp.hAPP @t3 @t3 @t685 @t633)))))) % 1.72/1.97 (assume @p425 (forall @t27 (=> @t374 (forall @t536 (= (tptp.hAPP @t3 @t3 @t685 @t123) @t687))))) % 1.72/1.97 (assume @p426 (forall @t27 (=> @t440 (forall @t415 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t649 @t510)))))) % 1.72/1.97 (assume @p427 (forall @t27 (=> @t440 (forall @t415 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t649 @t509)))))) % 1.72/1.97 (assume @p428 (forall @t27 (=> @t440 (forall @t664 (=> @t663 @t688))))) % 1.72/1.97 (assume @p429 (forall @t27 (=> @t440 (forall @t689 (=> @t660 @t688))))) % 1.72/1.97 (assume @p430 (forall @t27 (=> @t440 (forall @t692 (=> @t663 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t691 @t514)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t72 @t562) @t690)))))))) % 1.72/1.97 (assume @p431 (forall @t27 (=> @t30 (forall (@list @t123 @t317 @t151) (=> (= @t123 (tptp.hAPP @t3 @t3 @t508 @t151)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t661 @t123))))))) % 1.72/1.97 (assume @p432 (forall @t27 (=> @t440 (forall @t524 (=> @t693 @t660))))) % 1.72/1.97 (assume @p433 (forall @t27 (=> @t440 (forall @t524 (=> @t693 @t662))))) % 1.72/1.97 (assume @p434 (forall @t27 (=> @t440 (forall @t664 (=> @t663 (=> @t660 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t649 @t520)))))))) % 1.72/1.97 (assume @p435 (forall @t27 (=> @t374 (forall @t694 (= (tptp.hAPP tptp.nat @t3 @t133 @t435) @t25))))) % 1.72/1.97 (assume @p436 (forall @t27 (=> @t440 (forall @t126 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t72 @t25) @t123)))))) % 1.72/1.97 (assume @p437 (forall @t27 (=> @t440 (forall @t698 (=> @t697 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t695 (tptp.hAPP tptp.nat @t3 @t104 @t435)))))))) % 1.72/1.97 (assume @p438 (forall @t27 (=> @t440 (forall (@list @t471 @t123 @t435 @t317) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t72 @t534) @t317)) (=> @t702 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t700 @t317)))))))) % 1.72/1.97 (assume @p439 (forall @t27 (=> @t440 (forall (@list @t435 @t471 @t106 @t103) (=> @t697 (=> @t704 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t695 (tptp.hAPP tptp.nat @t3 @t104 @t471))))))))) % 1.72/1.97 (assume @p440 (forall @t27 (=> @t440 (forall @t705 (=> @t702 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t700 @t534))))))) % 1.72/1.97 (assume @p441 (forall (@list @t471 @t435 @t184) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t184)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t710) @t709)) @t707)))) % 1.72/1.97 (assume @p442 (forall @t458 (= @t457 (or @t453 @t454)))) % 1.72/1.97 (assume @p443 (forall @t27 (=> @t374 (forall @t705 (= (tptp.hAPP tptp.nat @t3 @t124 @t712) (tptp.hAPP tptp.nat @t3 (tptp.power_power @t3 @t699) @t435)))))) % 1.72/1.97 (assume @p444 (forall @t689 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t714 @t324)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t615 @t324)) (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t713 @t317)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t317) @t123))))))) % 1.72/1.97 (assume @p445 (forall @t27 (=> @t374 (forall @t126 (= (tptp.hAPP tptp.nat @t3 @t124 @t261) @t343))))) % 1.72/1.97 (assume @p446 (forall @t577 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t471 @t82) @t471)))) % 1.72/1.97 (assume @p447 (forall @t682 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t665 @t82)) (= @t716 @t715)))) % 1.72/1.97 (assume @p448 (forall @t415 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t672 @t85)))) % 1.72/1.97 (assume @p449 (forall @t567 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t718 @t717) @t471)))) % 1.72/1.97 (assume @p450 (forall @t720 (=> @t666 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t485 (tptp.hAPP tptp.int tptp.int @t719 @t484)) @t349)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t485 (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t546) @t484)) @t349)))))) % 1.72/1.97 (assume @p451 (forall @t720 (=> @t666 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t485 (tptp.hAPP tptp.int tptp.int @t721 @t127)) @t349)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t485 (tptp.hAPP tptp.int tptp.int @t721 @t546)) @t349)))))) % 1.72/1.97 (assume @p452 (forall @t722 (=> @t673 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong (tptp.hAPP tptp.int tptp.int @t423 @t151) (tptp.hAPP tptp.int tptp.int @t606 @t151)) @t471))))) % 1.72/1.97 (assume @p453 (forall @t722 (=> @t673 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong (tptp.hAPP tptp.int tptp.int @t263 @t123) (tptp.hAPP tptp.int tptp.int @t263 @t317)) @t471))))) % 1.72/1.97 (assume @p454 (forall @t723 (=> @t673 (=> @t669 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong (tptp.hAPP tptp.int tptp.int @t423 @t324) (tptp.hAPP tptp.int tptp.int @t606 @t514)) @t471)))))) % 1.72/1.97 (assume @p455 (forall @t723 (=> @t673 (=> @t669 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t725 (tptp.hAPP tptp.int tptp.int @t724 @t514)) @t471)))))) % 1.72/1.97 (assume @p456 (forall @t674 (=> @t673 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t725 (tptp.hAPP tptp.int tptp.int @t724 @t324)) @t471))))) % 1.72/1.97 (assume @p457 (forall (@list @t154 @t106 @t103 @t471) (=> @t727 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t191 (tptp.hAPP tptp.nat tptp.int @t619 @t154)) @t471))))) % 1.72/1.97 (assume @p458 (forall @t27 (=> @t142 (forall @t694 (= (tptp.hAPP tptp.nat @t3 (tptp.power_power @t3 (tptp.number_number_of @t3 tptp.min)) @t438) @t25))))) % 1.72/1.97 (assume @p459 (forall @t27 (=> @t734 (forall @t585 (=> (or (and @t637 @t733) (and @t731 @t729)) @t728))))) % 1.72/1.97 (assume @p460 (forall @t27 (=> @t736 (forall @t585 (=> (or (and @t637 @t729) (and @t731 @t733)) @t735))))) % 1.72/1.97 (assume @p461 (forall @t27 (=> @t743 (forall @t692 (=> @t742 (=> @t741 (=> @t729 @t739))))))) % 1.72/1.97 (assume @p462 (forall @t27 (=> @t743 (forall @t692 (=> @t742 (=> @t741 (=> @t637 @t739))))))) % 1.72/1.97 (assume @p463 (forall @t27 (=> @t736 (forall @t750 (=> @t749 (=> @t748 @t747)))))) % 1.72/1.97 (assume @p464 (forall @t27 (=> @t736 (forall @t750 (=> @t749 (=> @t748 @t751)))))) % 1.72/1.97 (assume @p465 (forall @t27 (=> (tptp.ordere1490568538miring @t3) @t752))) % 1.72/1.97 (assume @p466 (forall @t27 (=> @t743 @t752))) % 1.72/1.97 (assume @p467 (forall @t27 (=> @t743 (forall @t664 (=> @t742 (=> @t738 @t751)))))) % 1.72/1.97 (assume @p468 (forall @t27 (=> @t736 (forall @t585 (=> @t731 (=> @t733 @t735)))))) % 1.72/1.97 (assume @p469 (forall @t27 (=> @t734 (forall @t585 (=> @t731 (=> @t729 @t728)))))) % 1.72/1.97 (assume @p470 (forall @t27 (=> @t734 (forall @t585 (=> @t637 (=> @t733 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t509) @t45)))))))) % 1.72/1.97 (assume @p471 (forall @t27 (=> @t734 (forall @t585 (=> @t637 (=> @t733 @t728)))))) % 1.72/1.97 (assume @p472 (forall @t27 (=> @t734 (forall @t585 (=> @t637 (=> @t729 @t735)))))) % 1.72/1.97 (assume @p473 (forall @t27 (=> @t238 (forall @t682 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t681) @t45)) (or (and @t758 @t757) (and @t755 @t753))))))) % 1.72/1.97 (assume @p474 (forall @t27 (=> @t238 (forall @t682 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t681)) (or (and @t758 @t753) (and @t755 @t757))))))) % 1.72/1.97 (assume @p475 (forall @t27 (=> @t244 (forall @t126 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t371)))))) % 1.72/1.97 (assume @p476 (forall @t27 (=> @t238 (forall @t750 (=> @t763 (=> @t761 @t759)))))) % 1.72/1.97 (assume @p477 (forall @t27 (=> @t238 (forall @t750 (=> @t763 (=> @t761 @t765)))))) % 1.72/1.97 (assume @p478 (forall @t27 (=> (tptp.linord893533164strict @t3) @t767))) % 1.72/1.97 (assume @p479 (forall @t27 (=> @t768 @t767))) % 1.72/1.97 (assume @p480 (forall @t27 (=> @t768 (forall @t664 (=> @t639 (=> @t766 @t765)))))) % 1.72/1.97 (assume @p481 (forall @t27 (=> @t238 (forall @t585 (=> @t771 (=> @t770 @t769)))))) % 1.72/1.97 (assume @p482 (forall @t27 (=> @t768 (forall @t585 (=> @t771 (=> @t773 @t772)))))) % 1.72/1.97 (assume @p483 (forall @t27 (=> @t238 (forall @t781 (=> @t780 (= @t778 @t774)))))) % 1.72/1.97 (assume @p484 (forall @t27 (=> @t768 (forall @t585 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t509)) @t783))))) % 1.72/1.97 (assume @p485 (forall @t27 (=> @t768 (forall @t415 (=> @t769 @t783))))) % 1.72/1.97 (assume @p486 (forall @t27 (=> @t768 (forall @t585 (=> @t782 (=> @t770 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t509) @t45)))))))) % 1.72/1.97 (assume @p487 (forall @t27 (=> @t768 (forall @t585 (=> @t782 (=> @t770 @t772)))))) % 1.72/1.97 (assume @p488 (forall @t27 (=> @t768 (forall @t585 (=> @t782 (=> @t773 @t769)))))) % 1.72/1.97 (assume @p489 (forall @t27 (=> @t238 (forall @t781 (=> @t785 (= @t778 @t784)))))) % 1.72/1.97 (assume @p490 (forall @t27 (=> @t238 (forall @t787 (= @t778 @t786))))) % 1.72/1.97 (assume @p491 (forall @t27 (=> @t238 (forall @t788 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t556) @t554)) @t786))))) % 1.72/1.97 (assume @p492 (forall @t27 (=> @t244 (forall @t126 (not (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t371) @t45))))))) % 1.72/1.97 (assume @p493 (forall @t27 (=> @t338 (forall @t791 (=> @t782 @t790))))) % 1.72/1.97 (assume @p494 (forall @t27 (=> @t338 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t25))))) % 1.72/1.97 (assume @p495 (forall @t27 (=> @t338 (not (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t260 @t45)))))) % 1.72/1.97 (assume @p496 (forall @t27 (=> @t338 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t25))))) % 1.72/1.97 (assume @p497 (forall @t27 (=> @t338 (not (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t399 @t45)))))) % 1.72/1.97 (assume @p498 (forall @t27 (=> @t338 (forall @t640 (=> @t742 (=> @t637 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t792 @t633)))))))) % 1.72/1.97 (assume @p499 (forall @t27 (=> @t338 (forall @t684 (=> @t637 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t534))))))) % 1.72/1.97 (assume @p500 (forall @t27 (=> @t338 (forall @t474 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t399 @t471)) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t399 @t435)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t399 (tptp.hAPP @t3 @t3 @t793 @t435))))))))) % 1.72/1.97 (assume @p501 (forall @t27 (=> @t338 (forall @t684 (=> @t782 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t534))))))) % 1.72/1.97 (assume @p502 (forall @t27 (=> @t338 (forall @t126 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t638 @t578)))))) % 1.72/1.97 (assume @p503 (forall @t27 (=> @t796 (forall @t787 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t72 @t777) @t776)) @t795))))) % 1.72/1.97 (assume @p504 (forall @t27 (=> @t796 (forall @t788 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t72 @t556) @t554)) @t795))))) % 1.72/1.97 (assume @p505 (forall @t27 (=> @t338 (forall @t801 (=> @t800 (=> @t799 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t792 @t798)))))))) % 1.72/1.97 (assume @p506 (forall @t27 (=> @t338 (forall @t684 (=> @t799 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t260 @t534))))))) % 1.72/1.97 (assume @p507 (forall @t27 (=> @t338 (forall (@list @t349 @t347 @t127) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t399 @t127)) (= (= (tptp.hAPP tptp.nat @t3 @t130 @t349) @t803) @t802)))))) % 1.72/1.97 (assume @p508 (forall @t27 (=> @t583 (forall (@list @t127 @t347) (= (= @t803 @t45) (and @t129 @t804)))))) % 1.72/1.97 (assume @p509 (forall @t27 (=> @t41 (forall @t126 (= (tptp.hAPP tptp.nat @t3 @t124 @t222) @t25))))) % 1.72/1.97 (assume @p510 (forall @t27 (=> @t374 (forall @t705 (= (tptp.hAPP tptp.nat @t3 @t124 @t806) (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t699) @t534)))))) % 1.72/1.97 (assume @p511 (forall @t809 (=> @t431 (=> @t808 (=> @t584 (=> @t807 (not @t673))))))) % 1.72/1.97 (assume @p512 (forall @t813 (=> @t812 (=> @t811 (not @t810))))) % 1.72/1.97 (assume @p513 (forall (@list @t471 @t103 @t106) (=> @t812 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t103)) (=> @t473 (=> @t727 (=> @t811 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t311 @t471)) @t314)))))))) % 1.72/1.97 (assume @p514 (forall @t474 (=> @t472 (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t471) @t82)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t814 @t471)))))) % 1.72/1.97 (assume @p515 (forall @t667 (= @t666 (exists @t816 (= @t715 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t127) (tptp.hAPP tptp.int tptp.int @t352 @t815))))))) % 1.72/1.97 (assume @p516 (forall @t819 (= @t818 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t400 @t623) @t115))))) % 1.72/1.97 (assume @p517 (forall (@list @t127 @t349) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t127 @t82) @t349)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t820 @t127))))) % 1.72/1.97 (assume @p518 (forall (@list @t471 @t435 @t459) @t821)) % 1.72/1.97 (assume @p519 (forall @t27 (=> @t768 (forall @t664 (=> @t747 @t822))))) % 1.72/1.97 (assume @p520 (forall @t27 (=> @t768 (forall @t823 (=> @t751 @t822))))) % 1.72/1.97 (assume @p521 (forall @t27 (=> @t768 @t825))) % 1.72/1.97 (assume @p522 (forall @t27 (=> @t826 @t825))) % 1.72/1.97 (assume @p523 (forall @t27 (=> @t768 @t827))) % 1.72/1.97 (assume @p524 (forall @t27 (=> @t826 @t827))) % 1.72/1.97 (assume @p525 (forall @t27 (=> @t768 (forall @t692 (=> @t742 (=> @t830 (=> @t782 @t829))))))) % 1.72/1.97 (assume @p526 (forall @t27 (=> @t768 (forall @t692 (=> @t639 (=> @t741 (=> @t637 (=> @t766 @t828)))))))) % 1.72/1.97 (assume @p527 (forall @t27 (=> @t768 (forall @t692 (=> @t639 (=> @t830 (=> @t637 @t829))))))) % 1.72/1.97 (assume @p528 (forall @t27 (=> @t768 (forall @t692 (=> @t639 (=> @t830 (=> @t773 @t829))))))) % 1.72/1.97 (assume @p529 (forall @t27 (=> @t238 (forall @t781 (=> @t780 (= @t831 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t756 @t127)))))))) % 1.72/1.97 (assume @p530 (forall @t27 (=> @t238 (forall @t781 (=> @t785 (= @t831 @t832)))))) % 1.72/1.97 (assume @p531 (forall @t27 (=> @t111 (forall @t490 (=> @t337 (=> @t336 (=> @t834 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 (tptp.hAPP @t3 @t3 @t239 @t106)) @t106))))))))) % 1.72/1.97 (assume @p532 (forall @t27 (=> @t111 (forall @t490 (=> @t337 (=> @t336 (=> @t834 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t552) @t106))))))))) % 1.72/1.97 (assume @p533 (forall @t27 (=> @t338 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t369))))) % 1.72/1.97 (assume @p534 (forall @t27 (=> @t338 (forall @t835 (=> @t635 (=> @t729 @t639)))))) % 1.72/1.97 (assume @p535 (forall @t27 (=> @t338 (forall @t801 (=> @t800 (=> @t637 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t730 @t25)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t798) @t534))))))))) % 1.72/1.97 (assume @p536 (forall @t27 (=> @t338 (forall @t837 (=> @t836 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t699) @t534)) @t702)))))) % 1.72/1.97 (assume @p537 (forall @t27 (=> @t338 (forall @t842 (=> @t841 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t840) @t839)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t115) @t112)))))))) % 1.72/1.97 (assume @p538 (forall @t27 (=> @t338 (forall @t684 (=> @t836 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t634 @t687))))))) % 1.72/1.97 (assume @p539 (forall @t27 (=> @t338 (forall @t684 (=> @t836 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t399 @t687))))))) % 1.72/1.97 (assume @p540 (forall @t27 (=> @t591 (forall @t694 (and (=> @t844 (= @t843 @t25)) (=> @t845 (= @t843 @t45))))))) % 1.72/1.97 (assume @p541 (forall @t27 (=> @t338 (forall @t801 (=> @t847 (=> @t836 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t634 @t798)))))))) % 1.72/1.97 (assume @p542 (forall @t27 (=> @t338 (forall @t837 (=> @t836 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t699) @t534)) @t707)))))) % 1.72/1.97 (assume @p543 (forall @t27 (=> @t338 (forall @t842 (=> @t841 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t840) @t839)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t115) @t112)))))))) % 1.72/1.97 (assume @p544 (forall @t422 (= (tptp.hAPP tptp.real tptp.real (tptp.times_times tptp.real (tptp.number_number_of tptp.real @t88)) @t850) (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t849) @t97)))) % 1.72/1.97 (assume @p545 (forall @t813 (=> @t421 (=> @t811 (=> @t810 @t420))))) % 1.72/1.97 (assume @p546 (forall @t580 (=> @t852 (=> @t808 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t851 @t471)) (= @t429 @t82)))))) % 1.72/1.97 (assume @p547 (forall @t809 (=> @t852 (=> @t808 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t317)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t615 @t471)) (=> @t673 (= @t429 @t671)))))))) % 1.72/1.97 (assume @p548 (forall (@list @t459 @t103 @t435) (=> @t636 (=> @t618 @t648)))) % 1.72/1.97 (assume @p549 (forall (@list @t154 @t106 @t103 @t459) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t192 @t85) @t459)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t470 @t85) @t459))))) % 1.72/1.97 (assume @p550 (forall @t622 (=> @t463 (=> @t621 (=> @t853 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t489 @t82) @t459)))))))) % 1.72/1.97 (assume @p551 (forall @t27 (=> (tptp.linord1278240602ring_1 @t3) (forall @t647 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t339 @t123)) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t833 @t123)) (=> @t645 (=> @t644 (=> @t643 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t642) @t123))))))))))) % 1.72/1.97 (assume @p552 (forall @t27 (=> @t338 (forall @t684 (=> @t782 (=> @t854 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t687) @t534)))))))) % 1.72/1.97 (assume @p553 (forall @t27 (=> @t338 (forall @t801 (=> @t847 (=> @t782 (=> @t854 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t798) @t534))))))))) % 1.72/1.97 (assume @p554 (forall @t27 (=> @t338 (forall @t835 (=> (= @t534 @t633) (=> @t637 (=> @t729 (=> @t636 @t575)))))))) % 1.72/1.97 (assume @p555 (forall @t27 (=> @t338 (forall @t684 (=> @t836 (=> @t636 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t399 @t534)))))))) % 1.72/1.97 (assume @p556 (forall @t27 (=> @t440 (forall @t439 (=> (or @t636 (= @t334 @t25)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t696 @t436))))))) % 1.72/1.97 (assume @p557 (forall @t858 (=> @t463 (=> @t431 (=> @t857 (or @t856 @t855)))))) % 1.72/1.97 (assume @p558 (forall @t858 (=> @t463 (=> @t431 (=> (and @t859 (not @t855)) (not @t857)))))) % 1.72/1.97 (assume @p559 (forall (@list @t435 @t459 @t471) (=> @t478 @t821))) % 1.72/1.97 (assume @p560 @t860) % 1.72/1.97 (assume @p561 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t401 @t861))) % 1.72/1.97 (assume @p562 (forall (@list @t186 @t151 @t471) (=> @t865 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t864 @t863) @t471)) (= @t864 @t863))))) % 1.72/1.97 (assume @p563 (forall @t577 (=> @t865 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t85 @t452) @t471)))))) % 1.72/1.97 (assume @p564 (= @t861 @t99)) % 1.72/1.97 (assume @p565 (=> (not @t860) (not @t651))) % 1.72/1.97 (assume @p566 (forall @t245 (= (not (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t872 @t869))) @t867))) % 1.72/1.97 (assume @p567 (forall @t27 (=> @t142 (forall @t165 (= (tptp.number_number_of @t3 (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t143) @t137)) (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t145) @t138)))))) % 1.72/1.97 (assume @p568 (forall @t27 (=> (tptp.comm_ring_1 @t3) (forall @t874 (=> @t697 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t696 @t154)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t696 (tptp.hAPP @t3 @t3 @t873 @t154))))))))) % 1.72/1.97 (assume @p569 (forall @t153 (= (tptp.hAPP tptp.int tptp.int @t875 tptp.pls) @t152))) % 1.72/1.97 (assume @p570 (forall @t266 (= (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t265) @t361) @t877))) % 1.72/1.97 (assume @p571 (forall @t276 (= (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t878) @t137) (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t273) @t272)))) % 1.72/1.97 (assume @p572 (forall @t279 (= (tptp.hAPP tptp.int tptp.int @t155 @t878) (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t278) @t277)))) % 1.72/1.97 (assume @p573 (forall @t524 (=> (= @t880 @t670) (= @t429 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t324) @t317))))) % 1.72/1.97 (assume @p574 (forall @t723 (=> @t673 (=> @t669 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong (tptp.hAPP tptp.int tptp.int @t879 @t324) (tptp.hAPP tptp.int tptp.int @t881 @t514)) @t471)))))) % 1.72/1.97 (assume @p575 (forall @t479 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t882 (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t471) @t435))) @t883))) % 1.72/1.97 (assume @p576 (forall @t27 (=> @t890 (forall @t889 (= @t888 (= @t558 @t885)))))) % 1.72/1.97 (assume @p577 (forall @t27 (=> @t890 (forall @t889 (= @t888 (= @t892 @t557)))))) % 1.72/1.97 (assume @p578 (forall @t323 (=> @t893 (forall @t328 (= (tptp.hAPP @t5 @t5 @t325 (tptp.hAPP @t5 @t5 (tptp.minus_minus @t5 @t317) @t324)) (tptp.hAPP @t5 @t5 (tptp.minus_minus @t5 @t327) @t326)))))) % 1.72/1.97 (assume @p579 (forall @t323 (=> @t893 (forall @t320 (= (tptp.hAPP @t5 @t5 (tptp.times_times @t5 (tptp.hAPP @t5 @t5 (tptp.minus_minus @t5 @t123) @t317)) @t316) (tptp.hAPP @t5 @t5 (tptp.minus_minus @t5 @t319) @t318)))))) % 1.72/1.97 (assume @p580 (forall @t266 (= (tptp.hAPP tptp.int tptp.int @t894 @t361) (tptp.bit1 @t876)))) % 1.72/1.97 (assume @p581 (forall @t266 (= (tptp.hAPP tptp.int tptp.int @t894 @t359) @t877))) % 1.72/1.97 (assume @p582 (forall @t360 (= (tptp.hAPP tptp.int tptp.int @t895 @t361) (tptp.bit0 (tptp.hAPP tptp.int tptp.int @t895 @t262))))) % 1.72/1.97 (assume @p583 (forall @t172 (= @t268 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 (tptp.hAPP tptp.int tptp.int @t896 @t166)) @t82))))) % 1.72/1.97 (assume @p584 (forall (@list @t123 @t426 @t317 @t471 @t324 @t514 @t435) (= (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int (tptp.hAPP tptp.int tptp.int @t879 (tptp.hAPP tptp.int tptp.int @t897 @t317))) @t471)) (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t324) (tptp.hAPP tptp.int tptp.int @t897 @t514))) @t435)) (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t718) (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t324) @t435))) (tptp.hAPP tptp.int tptp.int @t897 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t717) (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t514) @t435))))))) % 1.72/1.97 (assume @p585 (forall @t667 (= @t666 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t820 (tptp.hAPP tptp.int tptp.int @t898 @t546)))))) % 1.72/1.97 (assume @p586 (forall @t27 (=> @t736 (forall @t889 (= @t899 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t892) @t484))))))) % 1.72/1.97 (assume @p587 (forall @t27 (=> @t736 (forall @t889 (= @t899 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t900 @t885))))))) % 1.72/1.97 (assume @p588 (forall @t27 (=> @t736 (forall @t889 (= @t901 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t779 @t885))))))) % 1.72/1.97 (assume @p589 (forall @t27 (=> @t736 (forall @t889 (= @t901 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t892) @t484))))))) % 1.72/1.97 (assume @p590 (forall @t27 (=> @t142 (forall (@list @t143 @t137 @t324) (= (tptp.hAPP @t3 @t3 @t146 (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t138) @t324)) (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t387) @t324)))))) % 1.72/1.97 (assume @p591 (forall (@list @t123 @t106) (=> @t812 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t315 @t123)) (=> (not (= @t313 @t902)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t315 @t902))))))) % 1.72/1.97 (assume @p592 (forall @t294 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t295 (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t215) @t85))) @t293))) % 1.72/1.97 (assume @p593 (forall @t360 (= (tptp.hAPP tptp.int tptp.int @t895 @t359) @t905))) % 1.72/1.97 (assume @p594 (forall @t360 (= (tptp.hAPP tptp.int tptp.int @t903 @t361) @t905))) % 1.72/1.97 (assume @p595 (forall @t360 (= (tptp.hAPP tptp.int tptp.int @t903 @t359) (tptp.bit0 @t904)))) % 1.72/1.97 (assume @p596 (forall (@list @t127 @t623) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong (tptp.hAPP tptp.int tptp.int @t719 @t907) @t85) @t623)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t127 @t907) @t623))))) % 1.72/1.97 (assume @p597 (forall (@list @t184 @t471 @t435) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t908 @t710) @t709)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t261) @t184)) @t702)))) % 1.72/1.97 (assume @p598 (forall @t912 (=> @t463 (=> @t431 (=> @t911 (=> @t910 (or (= @t429 @t85) (= @t429 @t909)))))))) % 1.72/1.97 (assume @p599 (forall @t912 (=> @t463 (=> @t431 (=> @t910 (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t123 @t85) @t459)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t123 @t909) @t459)))))))) % 1.72/1.97 (assume @p600 (forall @t415 (= (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t413) @t880) (tptp.hAPP tptp.int tptp.int @t913 @t404)))) % 1.72/1.97 (assume @p601 (forall @t27 (=> @t142 (forall @t110 (= (tptp.hAPP tptp.nat @t3 (tptp.power_power @t3 @t915) @t97) (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t109) @t393)))))) % 1.72/1.97 (assume @p602 (forall @t415 (= (tptp.hAPP tptp.nat tptp.int @t916 @t97) (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int @t913 @t419)) @t404)))) % 1.72/1.97 (assume @p603 (forall @t415 (= (tptp.hAPP tptp.nat tptp.int @t916 @t373) (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t411) @t410)) @t407)) @t403)))) % 1.72/1.97 (assume @p604 (forall @t694 (or (= @t917 @t85) (= @t917 @t452)))) % 1.72/1.97 (assume @p605 (forall @t577 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime @t918)) (= (tptp.legendre @t452 @t918) @t85)))) % 1.72/1.97 (assume @p606 (forall @t912 (and (=> @t856 (= @t919 @t82)) (=> @t859 (and (=> @t920 (= @t919 @t85)) (=> @t921 (= @t919 @t452))))))) % 1.72/1.97 (assume @p607 (forall @t922 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.quadRes @t349) @t115)) (exists @t447 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int @t443) @t97) @t115) @t349)))))) % 1.72/1.97 (assume @p608 (forall @t110 (= (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real (tptp.hAPP tptp.real tptp.real (tptp.plus_plus tptp.real @t106) @t103)) @t97) (tptp.hAPP tptp.real tptp.real (tptp.plus_plus tptp.real (tptp.hAPP tptp.real tptp.real (tptp.plus_plus tptp.real @t850) (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t103) @t97))) (tptp.hAPP tptp.real tptp.real (tptp.times_times tptp.real @t849) @t103))))) % 1.72/1.97 (assume @p609 (forall @t474 (=> @t926 (or @t924 @t923 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t438) @t471)))))) % 1.72/1.97 (assume @p610 (forall @t121 (= @t930 @t927))) % 1.72/1.97 (assume @p611 (forall (@list @t317 @t514 @t123) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t931 @t123)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t931 (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t123) @t317))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t931 @t317)))))) % 1.72/1.97 (assume @p612 (forall @t664 (=> @t935 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t908 (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t123) @t324)) @t933))))) % 1.72/1.97 (assume @p613 (forall @t664 (=> @t935 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t908 (tptp.hAPP tptp.nat tptp.nat @t936 @t123)) (tptp.hAPP tptp.nat tptp.nat @t936 @t317)))))) % 1.72/1.97 (assume @p614 (forall @t698 (=> @t941 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t939 (tptp.hAPP tptp.nat tptp.nat @t937 @t435)))))) % 1.72/1.97 (assume @p615 (forall @t474 (and (=> @t924 (= @t712 @t222)) (=> @t945 (= @t712 (tptp.hAPP tptp.nat tptp.nat @t944 (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t943) @t435))))))) % 1.72/1.97 (assume @p616 (forall (@list @t459 @t471) (and (=> @t924 (= @t947 @t261)) (=> @t945 (= @t947 (tptp.hAPP tptp.nat tptp.nat @t464 (tptp.hAPP tptp.nat tptp.nat @t946 @t943))))))) % 1.72/1.97 (assume @p617 (forall @t110 (= (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat (tptp.hAPP tptp.nat tptp.nat @t938 @t97)) (tptp.hAPP tptp.nat tptp.nat @t937 @t97)) (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat (tptp.hAPP tptp.nat tptp.nat @t948 @t103)) (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat @t106) @t103))))) % 1.72/1.97 (assume @p618 (forall @t415 (=> @t935 (or (= @t317 @t222) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t123) @t317)))))) % 1.72/1.97 (assume @p619 (forall @t957 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t908 @t956) @t954)) @t952))) % 1.72/1.97 (assume @p620 (forall @t355 (= (= @t960 @t261) (and @t959 @t958)))) % 1.72/1.97 (assume @p621 (forall @t656 (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.power_power tptp.nat @t349) @t347) @t222) (and @t804 @t961)))) % 1.72/1.97 (assume @p622 (forall (@list @t106 @t103 @t435) (=> @t845 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t939 @t103)) @t941)))) % 1.72/1.97 (assume @p623 (forall @t835 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t908 (tptp.hAPP tptp.nat tptp.nat (tptp.power_power tptp.nat @t123) @t435)) (tptp.hAPP tptp.nat tptp.nat (tptp.power_power tptp.nat @t317) @t435))) (=> @t845 @t935)))) % 1.72/1.97 (assume @p624 (forall @t458 (= (= @t456 @t261) (or (= @t115 @t261) @t454)))) % 1.72/1.97 (assume @p625 (forall (@list @t106 @t425 @t435 @t426) (=> (= @t106 (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t425) @t435)) @t426)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t426)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t962 @t435)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t925 @t106)))))))) % 1.72/1.97 (assume @p626 (forall @t121 (= (= (tptp.hAPP tptp.real tptp.real (tptp.plus_plus tptp.real (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t115) @t97)) (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t112) @t97)) @t866) @t963))) % 1.72/1.97 (assume @p627 (forall @t536 (=> @t636 (=> @t964 (exists @t450 (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t872 @t442)) (= (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t442) @t435) @t123) (forall @t447 (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t872 @t443)) (= (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t443) @t435) @t123)) (= @t443 @t442))))))))) % 1.72/1.97 (assume @p628 (forall @t536 (=> @t636 (=> @t964 (exists (@list @t965) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t872 @t965)) (= (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t965) @t435) @t123))))))) % 1.72/1.97 (assume @p629 (forall @t355 (=> @t966 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t908 @t960) @t349)) @t959)))) % 1.72/1.97 (assume @p630 (forall @t422 @t967)) % 1.72/1.97 (assume @p631 (forall @t694 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t846 @t222))))) % 1.72/1.97 (assume @p632 (forall @t694 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t222) @t435)))) % 1.72/1.97 (assume @p633 (forall @t971 (= @t970 (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat (tptp.hAPP tptp.nat tptp.nat @t968 @t151)) @t186)))) % 1.72/1.97 (assume @p634 (forall @t694 (= (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat @t222) @t435) @t222))) % 1.72/1.97 (assume @p635 (forall @t577 (= (tptp.hAPP tptp.nat tptp.nat @t942 @t222) @t471))) % 1.72/1.97 (assume @p636 (forall @t577 (= (tptp.hAPP tptp.nat tptp.nat @t942 @t471) @t222))) % 1.72/1.97 (assume @p637 (forall @t658 (=> @t974 (=> (= (tptp.hAPP tptp.nat tptp.nat @t972 @t471) @t222) @t923)))) % 1.72/1.97 (assume @p638 (not (= @t866 @t975))) % 1.72/1.97 (assume @p639 (forall @t121 (= @t977 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t871 @t976 (tptp.hAPP tptp.real tptp.real (tptp.minus_minus tptp.real @t115) @t112)) @t866))))) % 1.72/1.97 (assume @p640 (forall @t121 (= @t979 (and @t977 @t978)))) % 1.72/1.97 (assume @p641 (forall @t121 (= @t977 (or @t979 @t927)))) % 1.72/1.97 (assume @p642 (forall @t694 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t846 @t435))))) % 1.72/1.97 (assume @p643 (forall @t656 (= @t983 (or @t982 @t980)))) % 1.72/1.97 (assume @p644 (forall @t110 (=> @t985 (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t106) @t103))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t103) @t106)))))) % 1.72/1.97 (assume @p645 (forall @t474 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t846 @t471)) @t986))) % 1.72/1.97 (assume @p646 (forall (@list @t988 @t987) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t988) @t987)) (not (= @t988 @t987))))) % 1.72/1.97 (assume @p647 (forall (@list @t284 @t349 @t347) (=> (=> @t982 @t989) (=> (=> @t802 @t989) (=> (=> @t980 @t989) @t989))))) % 1.72/1.97 (assume @p648 (forall (@list @t435 @t186 @t151) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t186) @t151)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 (tptp.hAPP tptp.nat tptp.nat @t990 @t435)) @t151))))) % 1.72/1.97 (assume @p649 (forall @t994 (=> @t707 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t706 @t262)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t993) @t992)))))) % 1.72/1.97 (assume @p650 (forall @t110 (=> @t997 (not (and @t996 (not @t941)))))) % 1.72/1.97 (assume @p651 (forall @t874 (=> @t997 @t1002))) % 1.72/1.97 (assume @p652 (forall @t415 (=> @t1005 (not (and @t1004 (not @t935)))))) % 1.72/1.97 (assume @p653 (forall @t874 (=> @t997 (=> @t1001 @t1000)))) % 1.72/1.97 (assume @p654 (forall @t664 (=> @t1005 (=> @t1009 @t1008)))) % 1.72/1.97 (assume @p655 (forall (@list @t284 @t115 @t112) (=> @t1011 (=> (and @t928 (not @t929)) @t1010)))) % 1.72/1.97 (assume @p656 (forall @t110 (=> @t997 (not (= @t103 @t106))))) % 1.72/1.97 (assume @p657 (forall @t110 (=> @t997 @t985))) % 1.72/1.97 (assume @p658 (forall @t110 (=> @t997 @t941))) % 1.72/1.97 (assume @p659 (forall @t874 (=> @t941 @t1002))) % 1.72/1.97 (assume @p660 (forall @t664 (=> @t1013 (=> (and @t1012 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1006 @t317)))) @t1008)))) % 1.72/1.97 (assume @p661 (forall @t1018 (=> @t1017 (=> @t1016 @t1015)))) % 1.72/1.97 (assume @p662 (forall @t874 (=> @t941 (=> @t1001 @t999)))) % 1.72/1.97 (assume @p663 (forall @t110 (=> @t941 (=> @t996 @t984)))) % 1.72/1.97 (assume @p664 (forall @t658 (=> @t1019 (=> @t926 @t923)))) % 1.72/1.97 (assume @p665 (forall @t664 (=> @t935 (=> @t1009 @t1007)))) % 1.72/1.97 (assume @p666 (forall @t664 (=> @t1013 (=> @t1012 @t1007)))) % 1.72/1.97 (assume @p667 (forall @t415 (=> @t935 (=> @t1020 @t1005)))) % 1.72/1.97 (assume @p668 (forall @t110 (=> @t941 (or @t997 @t984)))) % 1.72/1.97 (assume @p669 (forall @t1021 (=> @t928 (= @t929 @t927)))) % 1.72/1.97 (assume @p670 (forall @t110 (=> @t984 @t941))) % 1.72/1.97 (assume @p671 (forall @t415 (=> @t1020 (=> @t935 @t1005)))) % 1.72/1.97 (assume @p672 (forall @t121 (= @t1011 @t1011))) % 1.72/1.97 (assume @p673 (forall @t121 (= @t1011 (and @t929 @t978)))) % 1.72/1.97 (assume @p674 (forall @t121 (= @t929 (or @t1011 @t927)))) % 1.72/1.97 (assume @p675 (forall @t121 (= @t927 @t930))) % 1.72/1.97 (assume @p676 (forall @t422 (not (and @t967 (not @t967))))) % 1.72/1.97 (assume @p677 (forall @t658 (= @t806 @t1022))) % 1.72/1.97 (assume @p678 (forall @t195 (= (tptp.hAPP tptp.nat tptp.nat @t948 @t194) (tptp.hAPP tptp.nat tptp.nat @t193 (tptp.hAPP tptp.nat tptp.nat @t948 @t154))))) % 1.72/1.97 (assume @p679 (forall @t1024 (= (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t806) @t151) (tptp.hAPP tptp.nat tptp.nat @t805 @t1023)))) % 1.72/1.97 (assume @p680 (forall @t1028 (= (= @t1027 @t1026) @t802))) % 1.72/1.97 (assume @p681 (forall @t957 (= (= @t1031 @t1029) @t802))) % 1.72/1.97 (assume @p682 (forall @t658 (= (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat @t806) @t435) @t471))) % 1.72/1.97 (assume @p683 (forall @t474 (= (tptp.hAPP tptp.nat tptp.nat @t1032 @t435) @t471))) % 1.72/1.97 (assume @p684 (forall @t971 (= @t970 (tptp.hAPP tptp.nat tptp.nat @t968 @t1034)))) % 1.72/1.97 (assume @p685 (forall @t479 (= (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat (tptp.hAPP tptp.nat tptp.nat @t1035 @t471)) @t1036) @t973))) % 1.72/1.97 (assume @p686 (forall @t1038 (= (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat @t1037) @t1023) @t973))) % 1.72/1.97 (assume @p687 (forall @t183 (= (tptp.hAPP tptp.real tptp.real (tptp.times_times tptp.real (tptp.hAPP tptp.real tptp.real @t1040 @t179)) @t178) (tptp.hAPP tptp.real tptp.real @t1040 (tptp.hAPP tptp.real tptp.real @t1039 @t178))))) % 1.72/1.97 (assume @p688 (forall @t157 (= (tptp.hAPP tptp.real tptp.real @t1041 @t137) (tptp.hAPP tptp.real tptp.real (tptp.times_times tptp.real @t137) @t154)))) % 1.72/1.97 (assume @p689 (forall @t269 (= (tptp.hAPP tptp.real tptp.real (tptp.times_times tptp.real @t975) @t154) @t154))) % 1.72/1.97 (assume @p690 (forall @t658 (=> @t702 (=> @t704 @t923)))) % 1.72/1.97 (assume @p691 (forall @t188 (=> @t1044 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1043 @t151)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1042 @t151)))))) % 1.72/1.97 (assume @p692 (forall @t658 (=> @t923 @t702))) % 1.72/1.97 (assume @p693 (forall @t658 (or @t702 @t704))) % 1.72/1.97 (assume @p694 (forall @t694 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t703 @t435)))) % 1.72/1.97 (assume @p695 (forall @t1054 (=> @t1053 (=> @t1052 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t1050) @t1048)) @t1046))))) % 1.72/1.97 (assume @p696 (forall @t1018 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1055 @t471)) (=> @t1056 (= (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat (tptp.hAPP tptp.nat tptp.nat @t942 @t151)) (tptp.hAPP tptp.nat tptp.nat @t972 @t151)) @t973))))) % 1.72/1.97 (assume @p697 (forall @t1054 (=> @t1053 (=> @t1052 (= (= @t1050 @t1048) @t802))))) % 1.72/1.97 (assume @p698 (forall (@list @t184 @t435) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1042 @t435)) (= (tptp.hAPP tptp.nat tptp.nat @t972 (tptp.hAPP tptp.nat tptp.nat @t972 @t184)) @t184)))) % 1.72/1.97 (assume @p699 (forall @t994 (=> @t702 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 (tptp.hAPP tptp.nat tptp.nat @t942 @t262)) (tptp.hAPP tptp.nat tptp.nat @t972 @t262)))))) % 1.72/1.97 (assume @p700 (forall @t994 (=> @t702 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t993) @t992))))) % 1.72/1.97 (assume @p701 (forall @t658 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t973) @t471)))) % 1.72/1.97 (assume @p702 (forall @t658 (= @t712 (tptp.hAPP tptp.nat tptp.nat @t1057 @t471)))) % 1.72/1.97 (assume @p703 (forall @t1024 (= (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t712) @t151) (tptp.hAPP tptp.nat tptp.nat @t711 @t1058)))) % 1.72/1.97 (assume @p704 (forall @t479 (= (tptp.hAPP tptp.nat tptp.nat @t1059 @t973) (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat @t1061) @t1060)))) % 1.72/1.97 (assume @p705 (forall @t1024 (= (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t973) @t151) (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat @t1062) @t1058)))) % 1.72/1.97 (assume @p706 (forall @t874 (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t871 @t976 @t106) @t103)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t871 @t976 (tptp.hAPP tptp.real tptp.real @t1063 @t106)) (tptp.hAPP tptp.real tptp.real @t1063 @t103)))))) % 1.72/1.97 (assume @p707 (forall @t27 (=> @t1067 (forall (@list @t123 @t324 @t317 @t514) (= (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t513) @t526) (tptp.hAPP @t3 @t3 @t1066 (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t324) @t514))))))) % 1.72/1.97 (assume @p708 (forall @t1069 (= @t804 @t1068))) % 1.72/1.97 (assume @p709 (forall @t658 (=> @t707 @t845))) % 1.72/1.97 (assume @p710 (forall @t694 (=> @t845 @t636))) % 1.72/1.97 (assume @p711 (forall @t658 (=> @t636 (=> @t1070 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t973) @t471)))))) % 1.72/1.97 (assume @p712 (forall @t355 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 (tptp.hAPP tptp.nat tptp.nat @t1047 @t349))) @t982))) % 1.72/1.97 (assume @p713 (forall @t694 (= (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t222) @t435) @t435))) % 1.72/1.97 (assume @p714 (forall @t577 (= (tptp.hAPP tptp.nat tptp.nat @t805 @t222) @t471))) % 1.72/1.97 (assume @p715 (forall @t656 (= (= @t1071 @t222) (and @t961 @t454)))) % 1.72/1.97 (assume @p716 (forall @t658 (=> (= @t806 @t471) @t844))) % 1.72/1.97 (assume @p717 (forall @t474 (= (tptp.hAPP tptp.nat tptp.nat @t972 @t1022) @t222))) % 1.72/1.97 (assume @p718 (forall @t1069 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t347) @t222)) @t454))) % 1.72/1.97 (assume @p719 (forall @t656 (= (= (tptp.hAPP tptp.nat tptp.nat @t1049 @t347) @t222) @t1046))) % 1.72/1.97 (assume @p720 (forall @t658 (=> @t702 @t974))) % 1.72/1.97 (assume @p721 (forall @t694 (= (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t222) @t435) @t222))) % 1.72/1.97 (assume @p722 (forall @t577 (= (tptp.hAPP tptp.nat tptp.nat @t711 @t222) @t222))) % 1.72/1.97 (assume @p723 (forall @t656 (= (= @t1072 @t222) (or @t961 @t454)))) % 1.72/1.97 (assume @p724 (forall @t1028 (= @t1077 @t1073))) % 1.72/1.97 (assume @p725 (forall @t957 (= (= @t956 @t954) @t1073))) % 1.72/1.97 (assume @p726 (forall @t781 (=> @t1080 (= (= (tptp.hAPP tptp.real tptp.real @t1079 @t127) (tptp.hAPP tptp.real tptp.real @t1079 @t546)) @t1078)))) % 1.72/1.97 (assume @p727 (forall @t781 (=> @t1080 (= (= (tptp.hAPP tptp.real tptp.real (tptp.times_times tptp.real @t127) @t485) (tptp.hAPP tptp.real tptp.real (tptp.times_times tptp.real @t546) @t485)) @t1078)))) % 1.72/1.97 (assume @p728 (forall @t1084 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1083 @t184))))) % 1.72/1.97 (assume @p729 (forall (@list @t186 @t184) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t1085) @t184))))) % 1.72/1.97 (assume @p730 (forall @t1028 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t1027) @t1026)) @t982))) % 1.72/1.97 (assume @p731 (forall @t1089 (=> @t1088 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1087 @t1086))))) % 1.72/1.97 (assume @p732 (forall @t1089 (=> @t1088 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1087 @t1090))))) % 1.72/1.97 (assume @p733 (forall @t188 (=> @t1088 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1092 @t1034))))) % 1.72/1.97 (assume @p734 (forall @t1095 (=> @t1088 (=> @t1094 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1092 @t1093)))))) % 1.72/1.97 (assume @p735 (forall (@list @t471 @t435 @t151 @t262) (=> @t1094 (=> (= (tptp.hAPP tptp.nat tptp.nat @t805 @t262) @t1036) @t707)))) % 1.72/1.97 (assume @p736 (forall @t971 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1083 @t151)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1087 @t151))))) % 1.72/1.97 (assume @p737 (forall @t658 (=> @t1097 @t1096))) % 1.72/1.97 (assume @p738 (forall (@list @t1099 @t1098 @t167) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t1099) @t1102)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t1100) @t1098))))) % 1.72/1.97 (assume @p739 (forall @t656 (= @t982 (and @t1046 @t983)))) % 1.72/1.97 (assume @p740 (forall @t656 (= @t1046 (or @t982 @t802)))) % 1.72/1.97 (assume @p741 (forall @t658 (=> @t707 @t702))) % 1.72/1.97 (assume @p742 (forall @t658 (=> @t702 (=> @t986 @t707)))) % 1.72/1.97 (assume @p743 (forall @t658 (=> (or @t707 @t923) @t702))) % 1.72/1.97 (assume @p744 (forall @t664 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t123) @t317)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t324) @t123)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat @t123) @t324)) (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat @t317) @t324))))))) % 1.72/1.97 (assume @p745 (forall @t1054 (=> @t1053 (=> @t1052 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t1050) @t1048)) @t982))))) % 1.72/1.97 (assume @p746 (forall (@list @t167 @t347) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1103 @t1029)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1103 @t347))))) % 1.72/1.97 (assume @p747 (forall @t479 (=> @t1015 (=> @t1016 (=> @t704 @t1017))))) % 1.72/1.97 (assume @p748 (forall @t479 (=> @t1015 (=> @t1017 (=> @t704 @t1016))))) % 1.72/1.97 (assume @p749 (forall @t474 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t703 @t806)))) % 1.72/1.97 (assume @p750 (forall @t474 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t703 @t1022)))) % 1.72/1.97 (assume @p751 (forall @t656 (= @t1046 (exists @t816 (= @t347 (tptp.hAPP tptp.nat tptp.nat @t1030 @t815)))))) % 1.72/1.97 (assume @p752 (forall @t1028 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t1027) @t1026)) @t1046))) % 1.72/1.97 (assume @p753 (forall @t1089 (=> @t1044 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1042 @t1086))))) % 1.72/1.97 (assume @p754 (forall @t1089 (=> @t1044 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1042 @t1090))))) % 1.72/1.97 (assume @p755 (forall @t188 (=> @t1044 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1104 @t1034))))) % 1.72/1.97 (assume @p756 (forall @t1095 (=> @t1044 (=> @t1105 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1104 @t1093)))))) % 1.72/1.97 (assume @p757 (forall @t1038 (=> @t1106 @t1056))) % 1.72/1.97 (assume @p758 (forall @t1038 (=> @t1106 @t702))) % 1.72/1.97 (assume @p759 (forall @t1038 (=> @t1106 (not (=> @t702 (not @t1056)))))) % 1.72/1.97 (assume @p760 (forall @t1109 (=> @t1108 (= (tptp.hAPP tptp.nat tptp.nat @t968 @t1107) (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat @t1091) @t186))))) % 1.72/1.97 (assume @p761 (forall (@list @t1098 @t167 @t1099) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t1102) @t1099)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1110 @t1100))))) % 1.72/1.97 (assume @p762 (forall @t1038 (=> @t1056 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t701 (tptp.hAPP tptp.nat tptp.nat @t1032 @t151)))))) % 1.72/1.97 (assume @p763 (forall @t474 (=> @t704 @t1096))) % 1.72/1.97 (assume @p764 (forall @t1109 (=> @t1108 (= @t1112 @t1111)))) % 1.72/1.97 (assume @p765 (forall (@list @t1099 @t167 @t1098) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1051 @t1098)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1113 @t1102)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t1100) @t1098)))))) % 1.72/1.97 (assume @p766 (forall @t474 (=> @t704 (= (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t973) @t435) @t471)))) % 1.72/1.97 (assume @p767 (forall (@list @t167 @t1099 @t1098) (=> @t1115 (= (= @t1114 @t167) (= @t1098 (tptp.hAPP tptp.nat tptp.nat @t1025 @t1099)))))) % 1.72/1.97 (assume @p768 (forall @t1109 (=> @t1108 (= @t1111 @t1112)))) % 1.72/1.97 (assume @p769 (forall @t1109 (=> @t1108 (= @t1117 @t1116)))) % 1.72/1.97 (assume @p770 (forall @t1109 (=> @t1108 (= @t1116 @t1117)))) % 1.72/1.97 (assume @p771 (forall @t479 (= (tptp.hAPP tptp.nat tptp.nat @t1059 @t806) (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t1061) @t1060)))) % 1.72/1.97 (assume @p772 (forall @t1024 (= (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t806) @t151) (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t1062) @t1058)))) % 1.72/1.97 (assume @p773 (forall (@list @t349) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t949 @t261)) @t958))) % 1.72/1.97 (assume @p774 (forall @t577 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t701 @t1118)))) % 1.72/1.97 (assume @p775 (forall @t577 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t701 (tptp.hAPP tptp.nat tptp.nat @t711 @t1118))))) % 1.72/1.97 (assume @p776 (forall @t188 (=> @t1044 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1123 @t1120))))) % 1.72/1.97 (assume @p777 (forall @t188 (=> @t1044 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t1125) @t1124))))) % 1.72/1.97 (assume @p778 (forall @t1095 (=> @t1044 (=> @t1105 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1123 (tptp.hAPP tptp.nat tptp.nat @t1119 @t262))))))) % 1.72/1.97 (assume @p779 (forall @t694 (= (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t261) @t435) @t435))) % 1.72/1.97 (assume @p780 (forall @t656 (= (= @t261 @t1072) @t1126))) % 1.72/1.97 (assume @p781 (forall @t694 (= (tptp.hAPP tptp.nat tptp.nat @t1057 @t261) @t435))) % 1.72/1.97 (assume @p782 (forall @t656 (= (= @t1072 @t261) @t1126))) % 1.72/1.97 (assume @p783 (forall @t276 (= (tptp.hAPP tptp.real tptp.real (tptp.times_times tptp.real (tptp.hAPP tptp.real tptp.real (tptp.plus_plus tptp.real @t181) @t179)) @t137) (tptp.hAPP tptp.real tptp.real (tptp.plus_plus tptp.real (tptp.hAPP tptp.real tptp.real @t1040 @t137)) (tptp.hAPP tptp.real tptp.real @t1039 @t137))))) % 1.72/1.97 (assume @p784 (forall @t27 (=> @t890 (forall @t1131 (= @t1130 (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 @t240 @t1129)) @t1128)))))) % 1.72/1.97 (assume @p785 (forall @t474 (=> @t1070 (=> @t707 (not @t926))))) % 1.72/1.97 (assume @p786 (forall @t656 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t1071)) (or @t966 @t1068)))) % 1.72/1.97 (assume @p787 (forall @t1140 (= @t1139 (not (or (and @t1138 @t1137) (exists @t1135 (and @t1134 (not @t1133)))))))) % 1.72/1.97 (assume @p788 (forall @t1140 (= @t1139 (and (=> @t1138 @t1136) (forall @t1135 (=> @t1134 @t1133)))))) % 1.72/1.97 (assume @p789 (forall @t656 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t1072)) (and @t966 @t1068)))) % 1.72/1.97 (assume @p790 (forall @t1028 (= @t1143 @t1142))) % 1.72/1.97 (assume @p791 (forall @t957 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t956) @t954)) @t1142))) % 1.72/1.97 (assume @p792 (forall @t188 (=> @t1088 (=> @t1144 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t1122) @t1120)))))) % 1.72/1.97 (assume @p793 (forall @t188 (=> @t1088 (=> @t1144 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t1125) @t1124)))))) % 1.72/1.97 (assume @p794 (forall @t1149 (=> @t1148 (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t871 @t976 @t1147) @t1146)) @t977)))) % 1.72/1.97 (assume @p795 (forall @t1149 (=> @t1148 (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t871 @t976 (tptp.hAPP tptp.real tptp.real @t1150 @t115)) (tptp.hAPP tptp.real tptp.real @t1150 @t112))) @t977)))) % 1.72/1.97 (assume @p796 (forall @t195 (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t872 @t154)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t871 @t870 @t106) @t103)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t871 @t870 (tptp.hAPP tptp.real tptp.real @t1041 @t106)) (tptp.hAPP tptp.real tptp.real @t1041 @t103))))))) % 1.72/1.97 (assume @p797 (forall @t490 (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t872 @t106)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t872 @t103)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t872 (tptp.hAPP tptp.real tptp.real (tptp.times_times tptp.real @t106) @t103))))))) % 1.72/1.97 (assume @p798 (forall @t1149 (=> @t1148 (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t871 @t870 @t1147) @t1146)) @t979)))) % 1.72/1.97 (assume @p799 (forall @t658 (=> (= @t471 @t712) (or (= @t435 @t261) @t924)))) % 1.72/1.97 (assume @p800 (forall @t121 (= (= (tptp.hAPP tptp.real tptp.real (tptp.plus_plus tptp.real @t869) (tptp.hAPP tptp.real tptp.real @t1145 @t112)) @t866) @t963))) % 1.72/1.97 (assume @p801 (forall @t27 (=> (tptp.ring_1 @t3) (forall @t422 (= (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t241) @t25) (tptp.hAPP @t3 @t3 (tptp.times_times @t3 (tptp.hAPP @t3 @t3 @t394 @t25)) (tptp.hAPP @t3 @t3 @t914 @t25))))))) % 1.72/1.97 (assume @p802 (forall (@list @t151 @t435) (=> @t1016 (=> @t636 @t1056)))) % 1.72/1.97 (assume @p803 (forall @t479 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t908 @t1061) @t1060)) (=> @t1144 @t1019)))) % 1.72/1.97 (assume @p804 (forall @t1028 (= @t1152 @t1151))) % 1.72/1.97 (assume @p805 (forall @t957 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t956) @t954)) @t1151))) % 1.72/1.97 (assume @p806 (forall @t27 (=> @t374 (forall @t439 (=> @t636 (= (tptp.hAPP @t3 @t3 (tptp.times_times @t3 (tptp.hAPP tptp.nat @t3 @t107 @t1153)) @t106) @t436)))))) % 1.72/1.97 (assume @p807 (forall @t694 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t871 @t976 @t975) (tptp.hAPP tptp.nat tptp.real (tptp.power_power tptp.real @t848) @t435))))) % 1.72/1.97 (assume @p808 (forall @t355 (=> @t966 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t908 @t1072) @t349)) @t959)))) % 1.72/1.97 (assume @p809 (forall @t27 (=> @t41 (forall @t658 (and (=> @t844 (= @t1155 @t25)) (=> @t845 (= @t1155 (tptp.hAPP @t3 @t3 @t793 (tptp.hAPP tptp.nat @t3 @t1154 @t1153))))))))) % 1.72/1.97 (assume @p810 (forall @t1160 (=> @t1137 (=> @t1159 (exists @t816 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t815) @t347)) (forall @t1158 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t1156) @t815)) @t1157)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t284 (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t815) @t261))))))))) % 1.72/1.97 (assume @p811 (forall @t1166 (=> @t1115 (= @t1165 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t981 @t1162)))))) % 1.72/1.97 (assume @p812 (forall @t1169 (=> @t1168 (= @t1165 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t1167) @t347)))))) % 1.72/1.97 (assume @p813 (forall @t141 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t1170 @t137)))) % 1.72/1.97 (assume @p814 (forall @t157 (or @t1172 @t1171))) % 1.72/1.97 (assume @p815 (forall @t188 (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t1173 @t186)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real @t871 @t976 @t186) @t151)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool @t1173 @t151)))))) % 1.72/1.97 (assume @p816 (forall @t157 (=> @t1172 (=> @t1171 (= @t154 @t137))))) % 1.72/1.97 (assume @p817 (forall @t1028 (= @t1077 (or @t951 @t802)))) % 1.72/1.97 (assume @p818 (forall (@list @t184 @t641 @t186 @t151) (= (tptp.hAPP tptp.nat tptp.nat @t1175 (tptp.hAPP tptp.nat tptp.nat @t1174 @t151)) (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t1082) @t641)) @t151)))) % 1.72/1.97 (assume @p819 (forall @t1176 (=> @t1141 (= @t1143 @t982)))) % 1.72/1.97 (assume @p820 (forall @t1176 (=> @t1141 (= @t1077 @t802)))) % 1.72/1.97 (assume @p821 (forall @t1028 (= @t1177 @t952))) % 1.72/1.97 (assume @p822 (forall @t1176 (=> @t1141 (= @t1177 @t950)))) % 1.72/1.97 (assume @p823 (forall @t1176 (=> @t1141 (= @t1152 @t1046)))) % 1.72/1.97 (assume @p824 (forall @t1169 (=> @t1168 (= @t1178 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t1167) @t347)))))) % 1.72/1.97 (assume @p825 (forall (@list @t641 @t471 @t435 @t186 @t184) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1043 @t184)) (= @t1179 (tptp.hAPP tptp.nat tptp.nat (tptp.minus_minus tptp.nat (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t969) @t641)) @t471)) @t435))))) % 1.72/1.97 (assume @p826 (forall @t1169 (=> @t1168 (= @t1180 (= @t1167 @t347))))) % 1.72/1.97 (assume @p827 (forall @t1166 (=> @t1115 (= @t1178 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1045 @t1162)))))) % 1.72/1.97 (assume @p828 (forall (@list @t641 @t471 @t435 @t184 @t186) (=> @t1044 (= @t1179 (tptp.hAPP tptp.nat tptp.nat @t942 (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat (tptp.hAPP tptp.nat tptp.nat @t990 @t184)) @t641)) @t435)))))) % 1.72/1.97 (assume @p829 (forall @t1166 (=> @t1115 (= @t1180 (= @t349 @t1162))))) % 1.72/1.97 (assume @p830 (forall @t694 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 (tptp.number_number_of tptp.int @t435))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 (tptp.number_number_of tptp.int (tptp.bit0 @t435)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 (tptp.number_number_of tptp.int (tptp.bit1 @t435)))))))) % 1.72/1.97 (assume @p831 (forall @t126 (=> @t1182 (exists (@list @t1181) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime @t1181)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t400 @t1181) @t123))))))) % 1.72/1.97 (assume @p832 (forall @t1187 (=> @t1186 (= (and @t1185 @t1010) (and @t1185 @t1184))))) % 1.72/1.97 (assume @p833 (forall @t1187 (=> @t1186 (= (=> @t1185 @t1010) (=> @t1185 @t1184))))) % 1.72/1.97 (assume @p834 (forall (@list @t349 @t483 @t167) (=> (not @t1188) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t820 @t483)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t400 @t482) (tptp.hAPP tptp.int tptp.int @t481 @t483))))))) % 1.72/1.97 (assume @p835 (forall @t27 (=> (and @t30 @t590) (forall (@list @t284 @t166) (= (exists @t450 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t284 (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t166) @t442)))) (exists @t450 (and (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t72 @t166) (tptp.hAPP @t3 @t3 @t1189 @t45))) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t284 @t442))))))))) % 1.72/1.97 (assume @p836 (forall @t27 (=> @t1197 (forall @t1196 (=> @t1195 (forall @t1194 (= @t1193 @t1192))))))) % 1.72/1.97 (assume @p837 (forall @t27 (=> @t1197 (forall @t1196 (=> @t1195 (forall @t1194 (= (not @t1193) (not @t1192)))))))) % 1.72/1.97 (assume @p838 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t332))) % 1.72/1.97 (assume @p839 (forall @t1203 (=> @t1202 (=> (forall @t450 (=> @t1200 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 (tptp.hAPP tptp.int tptp.int @t1199 @t484))))) (=> @t1201 (forall @t450 (=> @t1200 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 (tptp.hAPP tptp.int tptp.int @t1199 @t1198)))))))))) % 1.72/1.97 (assume @p840 (forall @t1203 (=> @t1202 (=> (forall @t450 (=> @t1200 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 (tptp.hAPP tptp.int tptp.int @t1204 @t484))))) (=> @t1201 (forall @t450 (=> @t1200 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 (tptp.hAPP tptp.int tptp.int @t1204 @t1198)))))))))) % 1.72/1.97 (assume @p841 (forall @t581 (=> @t473 (exists @t450 (and @t449 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t448 @t471)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t123 @t442) @t471)) (forall @t447 (=> (and @t446 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t445 @t471)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t123 @t443) @t471))) @t444))))))) % 1.72/1.97 (assume @p842 (= (tptp.twoSqu1929807760sum2sq (tptp.product_Pair tptp.int tptp.int tptp.s @t85)) @t93)) % 1.72/1.97 (assume @p843 (forall (@list @t123 @t317 @t459 @t425) (= (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int (tptp.twoSqu1929807760sum2sq (tptp.product_Pair tptp.int tptp.int @t123 @t317))) (tptp.twoSqu1929807760sum2sq (tptp.product_Pair tptp.int tptp.int @t459 @t425))) (tptp.twoSqu1929807760sum2sq (tptp.product_Pair tptp.int tptp.int (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int @t423 @t459)) @t607) (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t428) (tptp.hAPP tptp.int tptp.int @t606 @t459))))))) % 1.72/1.97 (assume @p844 (forall @t245 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.twoSqu658283162sum2sq @t115)) (exists (@list @t1206 @t1205) (= (tptp.twoSqu1929807760sum2sq (tptp.product_Pair tptp.int tptp.int @t1206 @t1205)) @t307))))) % 1.72/1.97 (assume @p845 (forall @t415 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t713 @t1208)) @t1207))) % 1.72/1.97 (assume @p846 (forall @t632 (=> @t463 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong (tptp.zfact @t909) @t452) @t459))))) % 1.72/1.97 (assume @p847 (forall @t27 (=> @t1211 (forall @t585 (=> @t731 @t1210))))) % 1.72/1.97 (assume @p848 (forall @t27 (=> @t46 (forall @t245 (= (= @t45 @t116) @t117))))) % 1.72/1.97 (assume @p849 (forall @t27 (=> @t39 (forall @t524 (= (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t510) @t324) (tptp.hAPP @t3 @t3 @t345 @t561)))))) % 1.72/1.97 (assume @p850 (forall @t27 (=> @t36 @t525))) % 1.72/1.97 (assume @p851 (forall @t27 (=> @t35 (forall @t781 (= (= (tptp.hAPP @t3 @t3 @t356 @t546) @t1213) @t1212))))) % 1.72/1.97 (assume @p852 (forall @t27 (=> @t35 (forall (@list @t546 @t127 @t485) (= (= @t548 @t1215) @t1212))))) % 1.72/1.97 (assume @p853 (forall @t27 (=> @t35 @t1217))) % 1.72/1.97 (assume @p854 (forall @t27 (=> (tptp.cancel146912293up_add @t3) @t1217))) % 1.72/1.97 (assume @p855 (forall @t27 (=> @t35 (forall @t689 (=> (= @t1218 @t512) @t1216))))) % 1.72/1.97 (assume @p856 (forall @t27 (=> @t26 (forall @t245 (= (= @t25 @t116) (= @t116 @t25)))))) % 1.72/1.97 (assume @p857 (forall @t27 (=> @t1067 (forall @t1220 (=> @t1219 (= @t560 @t559)))))) % 1.72/1.97 (assume @p858 (forall @t27 (=> @t34 @t544))) % 1.72/1.97 (assume @p859 (forall @t27 (=> @t1221 @t544))) % 1.72/1.97 (assume @p860 (forall @t27 (=> @t358 (forall @t132 (= (= @t45 @t357) @t129))))) % 1.72/1.97 (assume @p861 (forall @t27 (=> @t34 @t545))) % 1.72/1.97 (assume @p862 (forall @t27 (=> @t1221 @t545))) % 1.72/1.97 (assume @p863 (forall @t27 (=> @t1223 (forall @t788 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t1213) @t1222)) @t832))))) % 1.72/1.97 (assume @p864 (forall @t27 (=> @t1223 (forall @t787 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t1215) @t1224)) @t832))))) % 1.72/1.97 (assume @p865 (forall @t27 (=> @t1227 (forall @t664 (=> @t742 @t1226))))) % 1.72/1.97 (assume @p866 (forall @t27 (=> @t1227 (forall @t664 (=> @t742 @t1229))))) % 1.72/1.97 (assume @p867 (forall @t27 (=> @t1227 (forall @t692 (=> @t742 (=> @t741 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t1225 @t526)))))))) % 1.72/1.97 (assume @p868 (forall @t27 (=> @t1223 (forall @t823 (=> @t1226 @t742))))) % 1.72/1.97 (assume @p869 (forall @t27 (=> @t1223 (forall @t664 (=> @t1229 @t742))))) % 1.72/1.97 (assume @p870 (forall @t27 (=> @t1223 (forall @t788 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t1213) @t1222)) @t784))))) % 1.72/1.97 (assume @p871 (forall @t27 (=> @t1223 (forall @t787 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t1215) @t1224)) @t784))))) % 1.72/1.97 (assume @p872 (forall @t27 (=> @t1232 (forall @t664 (=> @t639 @t1231))))) % 1.72/1.97 (assume @p873 (forall @t27 (=> @t1232 (forall @t664 (=> @t639 @t1233))))) % 1.72/1.97 (assume @p874 (forall @t27 (=> @t1232 (forall @t692 (=> @t639 @t1235))))) % 1.72/1.97 (assume @p875 (forall @t27 (=> @t1223 (forall @t823 (=> @t1231 @t639))))) % 1.72/1.97 (assume @p876 (forall @t27 (=> @t1223 (forall @t664 (=> @t1233 @t639))))) % 1.72/1.97 (assume @p877 (forall @t27 (=> @t22 (forall @t682 (= @t1236 @t560))))) % 1.72/1.97 (assume @p878 (forall @t27 (=> @t1067 (forall @t682 (= @t560 @t1236))))) % 1.72/1.97 (assume @p879 (forall @t27 (=> @t22 (forall @t126 (= (tptp.hAPP @t3 @t3 @t1064 @t123) @t45))))) % 1.72/1.97 (assume @p880 (forall @t27 (=> @t22 (forall @t126 (= (tptp.hAPP @t3 @t3 @t1064 @t45) @t343))))) % 1.72/1.97 (assume @p881 (forall @t27 (=> @t1237 (forall @t1220 (=> @t1219 (= @t832 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t900 @t484)))))))) % 1.72/1.97 (assume @p882 (forall @t27 (=> @t1237 (forall @t1220 (=> @t1219 (= @t784 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t779 @t484)))))))) % 1.72/1.97 (assume @p883 (forall @t27 (=> @t374 @t569))) % 1.72/1.97 (assume @p884 (forall @t27 (=> @t686 @t569))) % 1.72/1.97 (assume @p885 (forall @t27 (=> @t374 @t570))) % 1.72/1.97 (assume @p886 (forall @t27 (=> @t686 @t570))) % 1.72/1.97 (assume @p887 (forall @t27 (=> @t22 (forall @t415 (= (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t521) @t317) @t343))))) % 1.72/1.97 (assume @p888 (forall @t27 (=> @t22 (forall @t415 (= (tptp.hAPP @t3 @t3 @t1066 @t317) @t343))))) % 1.72/1.97 (assume @p889 (forall @t27 (=> @t358 (forall @t132 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t357)) @t758))))) % 1.72/1.97 (assume @p890 (forall @t27 (=> @t358 (forall @t132 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t357) @t45)) @t755))))) % 1.72/1.97 (assume @p891 (forall @t27 (=> @t1211 (forall @t585 (=> @t637 (=> @t729 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t521)))))))) % 1.72/1.97 (assume @p892 (forall @t27 (=> @t1211 (forall @t1021 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t115)) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t243 @t112)) (= (= (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t115) @t112) @t45) @t122))))))) % 1.72/1.97 (assume @p893 (forall @t27 (=> @t1211 (forall @t791 (=> @t637 (=> @t1239 @t1238)))))) % 1.72/1.97 (assume @p894 (forall @t27 (=> @t1211 (forall @t689 (=> @t738 (=> @t749 @t1238)))))) % 1.72/1.97 (assume @p895 (forall @t27 (=> @t1211 (forall @t585 (=> @t731 (=> @t733 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t521) @t45)))))))) % 1.72/1.97 (assume @p896 (forall @t27 (=> @t358 (forall @t132 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t357)) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t120 @t127))))))) % 1.72/1.97 (assume @p897 (forall @t27 (=> @t358 @t381))) % 1.72/1.97 (assume @p898 (forall @t27 (=> @t1211 (forall @t585 (=> @t782 @t1241))))) % 1.72/1.97 (assume @p899 (forall @t27 (=> @t1211 (forall @t585 (=> @t771 @t1210))))) % 1.72/1.97 (assume @p900 (forall @t27 (=> @t1232 (forall @t692 (=> @t639 (=> @t741 @t1234)))))) % 1.72/1.97 (assume @p901 (forall @t27 (=> @t1232 (forall @t692 (=> @t742 @t1235))))) % 1.72/1.97 (assume @p902 (forall @t27 (=> @t1237 (forall @t682 (= @t832 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t64 @t891) @t45))))))) % 1.72/1.97 (assume @p903 (forall @t27 (=> @t1237 (forall @t682 (= @t784 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t60 @t891) @t45))))))) % 1.72/1.97 (assume @p904 (forall @t27 (=> @t1211 (forall @t585 (=> @t782 (=> @t729 @t1240)))))) % 1.72/1.97 (assume @p905 (forall @t27 (=> @t1211 (forall @t585 (=> @t637 @t1241))))) % 1.72/1.97 (assume @p906 (forall @t27 (=> @t1211 (forall @t791 (=> @t782 (=> @t1239 @t789)))))) % 1.72/1.97 (assume @p907 (forall @t27 (=> @t1211 (forall @t791 (=> @t637 @t790))))) % 1.72/1.97 (assume @p908 (forall @t27 (=> @t1211 (forall @t585 (=> @t771 (=> @t733 @t1209)))))) % 1.72/1.97 (assume @p909 (forall @t694 (and (=> @t1243 (= @t1242 @t85)) (=> (not @t1243) (= @t1242 (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t435) (tptp.zfact (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t435) @t85)))))))) % 1.72/1.97 (assume @p910 (forall @t912 (=> @t463 (=> @t630 (=> @t431 (=> @t911 (= (tptp.inv @t459 @t1244) @t429))))))) % 1.72/1.97 (assume @p911 (forall @t912 (=> @t463 (=> @t1182 (=> @t1245 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t1244) @t909))))))) % 1.72/1.97 (assume @p912 (forall @t912 (=> @t463 (=> @t1182 (=> @t1245 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t626 @t1244))))))) % 1.72/1.97 (assume @p913 (forall @t912 (=> @t463 (=> @t1182 (=> @t1245 (not (= @t1244 @t909))))))) % 1.72/1.97 (assume @p914 (forall @t912 (=> @t463 (=> @t1182 (=> @t1245 (not (= @t1244 @t85))))))) % 1.72/1.97 (assume @p915 (forall @t912 (=> @t463 (=> @t1182 (=> @t1245 (not (= @t429 @t1244))))))) % 1.72/1.97 (assume @p916 (forall @t912 (=> @t463 (=> @t1182 (=> @t1245 (not (= @t1244 @t82))))))) % 1.72/1.97 (assume @p917 (forall @t912 (=> @t463 (=> @t431 (=> @t911 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong (tptp.hAPP tptp.int tptp.int @t423 @t1244) @t85) @t459))))))) % 1.72/1.97 (assume @p918 (forall @t1253 (=> @t627 (=> @t1252 (=> @t1251 (=> @t1249 @t1247)))))) % 1.72/1.97 (assume @p919 (forall @t1253 (=> @t627 (=> @t1252 (=> @t1251 (=> @t1255 (=> @t1254 (=> @t1247 @t1249)))))))) % 1.72/1.97 (assume @p920 (forall (@list @t623 @t127) (=> @t1256 (tptp.hBOOL (tptp.hAPP @t53 tptp.bool (tptp.member tptp.int @t127) @t1246))))) % 1.72/1.97 (assume @p921 (forall @t1258 (=> @t1256 (=> @t1257 @t1249)))) % 1.72/1.97 (assume @p922 (forall @t1253 (=> @t627 (=> @t1251 (=> @t1249 @t1255))))) % 1.72/1.97 (assume @p923 (forall @t1253 (=> @t627 (=> @t1251 (=> @t1249 @t1254))))) % 1.72/1.97 (assume @p924 (forall @t1258 (=> @t1256 (=> (not @t1257) (=> @t1249 (or (= @t715 @t716) (= @t715 (tptp.inv @t623 @t127)))))))) % 1.72/1.97 (assume @p925 (forall @t1253 (=> @t627 (=> @t1251 (=> @t1255 (=> @t1259 @t1249)))))) % 1.72/1.97 (assume @p926 (forall (@list @t186 @t123 @t459) (=> @t463 (=> @t676 (=> @t859 (=> @t1262 (=> @t921 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t186 @t1261) @t459)))))))))) % 1.72/1.97 (assume @p927 (forall @t1267 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t1099) @t167)) (=> @t1266 (=> (forall @t1158 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t1156) @t167)) @t1265)) @t1263))))) % 1.72/1.97 (assume @p928 (forall (@list @t186 @t123 @t459 @t151) (=> @t1271 @t1270))) % 1.72/1.97 (assume @p929 (forall @t1275 (=> @t1274 @t1273))) % 1.72/1.97 (assume @p930 (forall (@list @t106 @t103 @t459) (=> @t676 (=> @t1278 @t1277)))) % 1.72/1.97 (assume @p931 (forall @t1281 (=> @t676 (=> @t1280 @t1279)))) % 1.72/1.97 (assume @p932 (forall @t622 (=> @t676 (=> @t463 (=> @t621 (=> @t853 (=> @t1277 @t1278))))))) % 1.72/1.97 (assume @p933 (forall @t677 (=> @t676 (=> @t463 (=> @t621 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t1282 @t106) @t459))))))) % 1.72/1.97 (assume @p934 (forall @t677 (=> @t676 (=> @t463 (=> @t621 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t1276 @t82) @t459)))))))) % 1.72/1.97 (assume @p935 (forall (@list @t151 @t123 @t186 @t459) (=> @t676 (=> @t463 (=> @t1262 (=> @t1273 @t1283)))))) % 1.72/1.97 (assume @p936 (forall (@list @t186 @t123 @t151 @t459) (=> @t676 (=> @t463 (=> @t1284 (=> @t1270 @t1274)))))) % 1.72/1.97 (assume @p937 (forall @t1281 (=> @t676 (=> @t463 (=> @t1284 (=> @t1262 (=> @t1271 @t1283))))))) % 1.72/1.97 (assume @p938 (forall @t1275 (=> @t676 (=> @t463 (=> @t859 (=> @t1284 (=> @t1262 (=> @t1279 @t1280)))))))) % 1.72/1.97 (assume @p939 (forall @t677 (=> @t676 (=> @t463 (=> @t621 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t1286 @t106) @t459))))))) % 1.72/1.97 (assume @p940 (forall @t677 (=> @t676 (=> @t463 (=> @t621 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t1282 @t1286) @t459))))))) % 1.72/1.97 (assume @p941 (forall @t677 (=> @t676 (=> @t463 (=> @t621 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t1276) @t106) @t85) @t459))))))) % 1.72/1.97 (assume @p942 (forall @t677 (=> @t676 (=> @t463 (=> @t621 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t1285 @t85) @t459))))))) % 1.72/1.97 (assume @p943 (forall (@list @t115 @t284) (=> (forall (@list @t1206) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t626 @t1206)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t1206) @t85)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 @t1206)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 @t115))))) % 1.72/1.97 (assume @p944 (forall @t1267 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t1099) @t167)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 (tptp.hAPP tptp.int tptp.int @t896 @t85))) (=> (forall @t1158 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t1156) @t167)) @t1265)) @t1263))))) % 1.72/1.97 (assume @p945 (forall @t1288 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t168 @t1099)) (=> @t1266 (=> (forall @t1158 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t168 @t1156)) @t1287)) @t1263))))) % 1.72/1.97 (assume @p946 (forall @t1288 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t267 @t1099)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t167) @t85))) (=> (forall @t1158 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t267 @t1156)) @t1287)) @t1263))))) % 1.72/1.97 (assume @p947 (forall (@list @t349 @t167 @t1289) (=> (forall (@list @t624 @t1290) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t624) @t1290)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 (tptp.hAPP tptp.nat tptp.nat @t1289 @t624)) (tptp.hAPP tptp.nat tptp.nat @t1289 @t1290))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat (tptp.hAPP tptp.nat tptp.nat @t1289 @t349)) @t167)) (tptp.hAPP tptp.nat tptp.nat @t1289 @t1031)))))) % 1.72/1.97 (assume @p948 (forall @t628 (=> @t627 (= (tptp.d22set @t1291) (tptp.wset @t1291 @t623))))) % 1.72/1.97 (assume @p949 (forall @t682 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1250 @t546)) (not @t1292)))) % 1.72/1.97 (assume @p950 (forall @t550 (=> @t1292 @t1259))) % 1.72/1.97 (assume @p951 (forall @t550 (=> @t1292 @t1255))) % 1.72/1.97 (assume @p952 (forall @t682 (=> @t1255 (=> @t1259 @t1292)))) % 1.72/1.97 (assume @p953 (forall @t1160 (=> @t1137 (=> @t1159 (exists @t816 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t491 @t815) @t347)) (forall @t1158 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t1156) @t815)) @t1157)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t284 @t815)))))))) % 1.72/1.97 (assume @p954 (forall @t1084 (=> @t1088 (exists @t816 (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t815)) (= (tptp.hAPP tptp.nat tptp.nat @t1081 @t815) @t186)))))) % 1.72/1.97 (assume @p955 (forall @t27 (=> @t32 (forall @t1299 (exists @t1298 (forall @t450 (=> @t1297 @t1295))))))) % 1.72/1.97 (assume @p956 (forall @t27 (=> @t32 (forall @t1299 (exists @t1298 (forall @t450 (=> @t1300 @t1295))))))) % 1.72/1.97 (assume @p957 (forall @t27 (=> @t32 (forall @t1299 (exists @t1298 (forall @t450 (=> @t1300 @t1302))))))) % 1.72/1.97 (assume @p958 (forall @t27 (=> @t32 (forall @t1299 (exists @t1298 (forall @t450 (=> @t1297 @t1302))))))) % 1.72/1.97 (assume @p959 (forall @t1303 (=> @t804 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t400 (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int @t127) @t347)) (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int @t546) @t347))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t487 @t546)))))) % 1.72/1.97 (assume @p960 (forall @t835 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t400 @t462) (tptp.hAPP tptp.nat tptp.int @t402 @t435))) (=> @t845 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t400 @t123) @t317)))))) % 1.72/1.97 (assume @p961 (forall @t126 (=> @t1305 (= @t123 @t222)))) % 1.72/1.97 (assume @p962 (forall @t132 (= @t1307 @t1306))) % 1.72/1.97 (assume @p963 (forall @t132 (= (not @t1306) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1308 @t222)) (not @t1307))))) % 1.72/1.97 (assume @p964 (forall @t126 @t1309)) % 1.72/1.97 (assume @p965 (forall @t126 (not (and @t1305 (not @t1309))))) % 1.72/1.97 (assume @p966 (forall @t126 (=> @t1310 (= @t123 @t261)))) % 1.72/1.97 (assume @p967 (forall @t132 (= @t1312 @t1311))) % 1.72/1.97 (assume @p968 (forall @t132 (= (not @t1311) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1313 @t127)) (not @t1312))))) % 1.72/1.97 (assume @p969 (forall @t126 @t1314)) % 1.72/1.97 (assume @p970 (forall @t126 (not (and @t1310 (not @t1314))))) % 1.72/1.97 (assume @p971 (forall @t658 (=> @t636 (=> @t1019 @t1070)))) % 1.72/1.97 (assume @p972 (forall @t1303 (=> @t804 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t908 (tptp.hAPP tptp.nat tptp.nat (tptp.power_power tptp.nat @t127) @t347)) (tptp.hAPP tptp.nat tptp.nat (tptp.power_power tptp.nat @t546) @t347))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1308 @t546)))))) % 1.72/1.97 (assume @p973 (forall @t658 (=> @t1019 (or @t702 @t844)))) % 1.72/1.97 (assume @p974 (forall (@list @t435 @t471 @t151) (=> @t1144 (=> (= @t1060 @t1061) (= @t435 @t471))))) % 1.72/1.97 (assume @p975 (forall @t27 (=> @t1315 (forall @t1131 (= @t1130 (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 (tptp.hAPP @t3 @t3 @t1127 @t1129)) @t1128)) (tptp.hAPP @t3 @t3 @t345 @t1129))))))) % 1.72/1.97 (assume @p976 (forall @t628 (= @t1316 (tptp.collect tptp.int (tptp.combs tptp.int tptp.bool tptp.bool (tptp.combb tptp.bool @t78 tptp.int tptp.fconj @t306) (tptp.combc tptp.int tptp.int tptp.bool @t83 @t623)))))) % 1.72/1.97 (assume @p977 (forall @t27 (=> @t1315 (forall @t1317 (= (tptp.hAPP @t3 @t3 @t538 @t317) @t45))))) % 1.72/1.97 (assume @p978 (forall @t27 (=> @t1315 (forall (@list @t103) (= (tptp.hAPP @t3 @t3 @t538 @t103) @t45))))) % 1.72/1.97 (assume @p979 (forall @t27 (=> @t1315 @t541))) % 1.72/1.97 (assume @p980 (forall @t27 (=> @t1315 (forall @t422 (= (tptp.hAPP @t3 @t3 @t240 @t45) @t45))))) % 1.72/1.97 (assume @p981 (forall @t27 (=> @t1315 (forall @t1320 (= (tptp.hAPP @t3 @t3 @t345 (tptp.hAPP @t3 @t3 @t519 @t593)) (tptp.hAPP @t3 @t3 @t1319 @t1318)))))) % 1.72/1.97 (assume @p982 (forall @t27 (=> @t1315 (forall @t1325 (= (tptp.hAPP @t3 @t3 @t1322 @t395) (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t1324) @t1323)))))) % 1.72/1.97 (assume @p983 (forall @t27 (=> @t1315 (forall @t1329 (= (tptp.hAPP @t3 @t3 (tptp.times_times @t3 (tptp.hAPP @t3 @t3 @t384 @t1326)) @t317) (tptp.hAPP @t3 @t3 @t1319 @t1328)))))) % 1.72/1.97 (assume @p984 (forall @t27 (=> @t1315 (forall @t1333 (= (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t395) @t1330) (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t1332) @t1331)))))) % 1.72/1.97 (assume @p985 (forall @t27 (=> @t1315 (forall @t1320 (= (tptp.hAPP @t3 @t3 @t345 (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t317) @t593)) (tptp.hAPP @t3 @t3 @t1334 @t1318)))))) % 1.72/1.97 (assume @p986 (forall @t27 (=> @t1315 (forall @t1325 (= (tptp.hAPP @t3 @t3 @t1322 @t915) (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t1324) @t1323)))))) % 1.72/1.97 (assume @p987 (forall @t27 (=> @t1315 (forall @t1329 (= (tptp.hAPP @t3 @t3 (tptp.times_times @t3 (tptp.hAPP @t3 @t3 @t1064 @t1326)) @t317) (tptp.hAPP @t3 @t3 @t1334 @t1328)))))) % 1.72/1.97 (assume @p988 (forall @t27 (=> @t1315 (forall @t1333 (= (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t915) @t1330) (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t1332) @t1331)))))) % 1.72/1.97 (assume @p989 (forall @t165 (and (=> @t1337 (= @t1336 (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int @t1338) @t85))) (=> (not @t1337) (= @t1336 (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int (tptp.hAPP tptp.int tptp.int @t417 (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int (tptp.hAPP tptp.int tptp.int @t271 @t85)) @t163))) @t85)))))) % 1.72/1.97 (assume @p990 (forall @t585 (=> @t1340 (= @t1339 (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int (tptp.hAPP tptp.int tptp.int @t417 (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int (tptp.hAPP tptp.int tptp.int @t724 @t85)) @t123))) @t85))))) % 1.72/1.97 (assume @p991 (forall @t27 (=> (and @t18 @t59) (forall @t121 (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t3 @t61 @t72 @t175) @t174)) (= (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 @t174) @t175) @t45)))))) % 1.72/1.97 (assume @p992 (forall @t27 (=> @t18 (forall @t1349 (=> @t1348 (=> @t1345 (= @t1342 (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 (tptp.hAPP @t3 @t3 @t1327 @t593)) @t324)))))))) % 1.72/1.97 (assume @p993 (forall @t27 (=> @t18 (forall @t823 (= @t1351 @t1342))))) % 1.72/1.97 (assume @p994 (forall @t27 (=> @t18 (forall @t823 (= (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 @t562) @t561) (tptp.hAPP @t3 @t3 (tptp.times_times @t3 @t1352) @t324)))))) % 1.72/1.97 (assume @p995 (forall @t27 (=> @t18 (forall @t664 (= (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 @t746) @t745) (tptp.hAPP @t3 @t3 @t744 @t1352)))))) % 1.72/1.97 (assume @p996 (forall @t27 (=> @t18 (forall @t524 (= @t1342 (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 (tptp.hAPP @t3 @t3 @t1350 @t1344)) @t324)))))) % 1.72/1.97 (assume @p997 (forall @t27 (=> @t18 (forall @t524 (= @t1342 @t1351))))) % 1.72/1.97 (assume @p998 (forall @t27 (=> @t18 (forall @t524 (= @t1342 (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 (tptp.hAPP @t3 @t3 @t345 @t1344)) @t324)))))) % 1.72/1.97 (assume @p999 (forall @t524 (= @t1355 @t1353))) % 1.72/1.97 (assume @p1000 (forall @t524 (= @t1353 @t1355))) % 1.72/1.97 (assume @p1001 (forall @t667 (= @t666 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t1357 @t1356) @t349))))) % 1.72/1.97 (assume @p1002 (forall @t1360 (= (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int (tptp.hAPP tptp.nat tptp.int (tptp.power_power tptp.int @t1359) @t103)) @t471) (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t192) @t471)))) % 1.72/1.97 (assume @p1003 (forall @t27 (=> @t18 (forall @t415 (= (tptp.hAPP @t3 @t3 @t1361 @t317) @t1352))))) % 1.72/1.97 (assume @p1004 (forall @t1362 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t106 @t1359) @t471)))) % 1.72/1.97 (assume @p1005 (forall @t1360 (=> (= @t1359 @t1363) @t727))) % 1.72/1.97 (assume @p1006 (forall (@list @t435 @t1366 @t471) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1367 @t471)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1367 @t435)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t1367 @t1365)))))) % 1.72/1.97 (assume @p1007 (forall @t479 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t882 @t1365)) @t883))) % 1.72/1.97 (assume @p1008 (forall @t126 (= (tptp.hAPP tptp.int tptp.int @t1368 @t123) @t82))) % 1.72/1.97 (assume @p1009 (forall @t1317 (= (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t82) @t317) @t82))) % 1.72/1.97 (assume @p1010 (forall @t27 (=> @t18 (forall @t957 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t1369 @t347)) (= (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t1369 (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 @t349) @t347))) (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t1369 @t349)))))))) % 1.72/1.97 (assume @p1011 (forall @t27 (=> @t18 (forall @t823 (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool @t691 @t317)) (= (tptp.hAPP @t3 @t3 @t1361 @t324) @t1347)))))) % 1.72/1.97 (assume @p1012 (forall @t27 (=> @t18 (forall @t1018 (=> @t1373 (=> @t1372 @t1371)))))) % 1.72/1.97 (assume @p1013 (forall @t27 (=> @t18 (forall @t479 (=> @t1371 (=> @t1372 @t1373)))))) % 1.72/1.97 (assume @p1014 (forall @t27 (=> @t18 (forall @t1349 (=> @t1348 (=> @t1345 (= @t1375 (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 (tptp.hAPP @t3 @t3 (tptp.plus_plus @t3 @t1326) @t593)) @t324)))))))) % 1.72/1.97 (assume @p1015 (forall @t27 (=> @t18 (forall @t823 (= @t1377 @t1375))))) % 1.72/1.97 (assume @p1016 (forall @t27 (=> @t18 (forall @t524 (= @t1378 @t1375))))) % 1.72/1.97 (assume @p1017 (forall @t27 (=> @t18 (forall @t524 (= @t1375 (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 (tptp.hAPP @t3 @t3 @t1376 @t1344)) @t324)))))) % 1.72/1.97 (assume @p1018 (forall @t27 (=> @t18 (forall @t524 (= @t1375 @t1377))))) % 1.72/1.97 (assume @p1019 (forall @t27 (=> @t18 (forall @t524 (= @t1375 @t1378))))) % 1.72/1.97 (assume @p1020 (forall @t27 (=> @t18 (forall @t585 (= (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 @t1218) @t317) @t1352))))) % 1.72/1.97 (assume @p1021 (forall @t27 (=> @t18 (forall @t415 (= (tptp.hAPP @t3 @t3 @t1374 @t317) @t1352))))) % 1.72/1.97 (assume @p1022 (forall @t27 (=> @t18 (forall @t126 (= (tptp.hAPP @t3 @t3 @t1346 @t123) @t45))))) % 1.72/1.97 (assume @p1023 (forall @t27 (=> @t18 (forall @t126 (= (tptp.hAPP @t3 @t3 @t1346 @t45) @t343))))) % 1.72/1.97 (assume @p1024 (forall @t27 (=> @t18 (forall @t126 (= (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 @t45) @t123) @t45))))) % 1.72/1.97 (assume @p1025 (forall (@list @t115 @t347 @t112) (= (= (tptp.hAPP tptp.int tptp.int @t1379 @t347) (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t112) @t347)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t400 @t347) (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t115) @t112)))))) % 1.72/1.97 (assume @p1026 (forall @t1382 (= (= (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t349) @t484) @t82) (exists @t1381 (= @t350 (tptp.hAPP tptp.int tptp.int @t721 @t1380)))))) % 1.72/1.97 (assume @p1027 (forall @t490 (=> @t421 (=> @t586 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 (tptp.hAPP tptp.int tptp.int @t1358 @t103))))))) % 1.72/1.97 (assume @p1028 (forall @t668 (=> @t478 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 (tptp.hAPP tptp.int tptp.int @t1364 @t151)) @t471))))) % 1.72/1.97 (assume @p1029 (forall @t415 (=> @t584 @t1384))) % 1.72/1.97 (assume @p1030 (forall @t415 (=> @t1386 @t1385))) % 1.72/1.97 (assume @p1031 (forall @t27 (=> @t18 (forall @t682 (= @t794 (= (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 @t546) @t127) @t45)))))) % 1.72/1.97 (assume @p1032 (forall @t27 (=> @t18 (forall @t415 (=> @t663 (= (tptp.hAPP @t3 @t3 @t1343 @t123) @t45)))))) % 1.72/1.97 (assume @p1033 (forall @t27 (=> @t18 (forall @t524 (= (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 (tptp.hAPP @t3 @t3 @t384 @t561)) @t317) @t1352))))) % 1.72/1.97 (assume @p1034 (forall @t27 (=> @t18 (forall @t823 (= (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 (tptp.hAPP @t3 @t3 @t384 @t745)) @t317) @t1352))))) % 1.72/1.97 (assume @p1035 (forall @t27 (=> @t18 (forall @t126 (= (tptp.hAPP @t3 @t3 @t1346 @t25) @t45))))) % 1.72/1.97 (assume @p1036 (forall @t27 (=> @t18 (forall @t415 (= (tptp.hAPP @t3 @t3 @t1341 @t317) @t45))))) % 1.72/1.97 (assume @p1037 (forall @t27 (=> @t18 (forall @t585 (= (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 @t509) @t317) @t45))))) % 1.72/1.97 (assume @p1038 (forall @t27 (=> @t1388 (forall @t1349 (=> @t1348 (=> @t1345 (= @t1387 (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 (tptp.hAPP @t3 @t3 (tptp.minus_minus @t3 @t1326) @t593)) @t324)))))))) % 1.72/1.97 (assume @p1039 (forall @t1360 (= (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int (tptp.hAPP tptp.int tptp.int (tptp.minus_minus tptp.int @t1359) @t103)) @t471) @t1390))) % 1.72/1.97 (assume @p1040 (forall @t1391 (= (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int (tptp.hAPP tptp.int tptp.int @t1389 @t1363)) @t471) @t1390))) % 1.72/1.97 (assume @p1041 (forall @t27 (=> @t1388 (forall @t524 (= @t1387 (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 (tptp.hAPP @t3 @t3 @t1392 @t1344)) @t324)))))) % 1.72/1.97 (assume @p1042 (forall @t27 (=> @t1388 (forall @t524 (= @t1387 (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 (tptp.hAPP @t3 @t3 @t1392 @t317)) @t324)))))) % 1.72/1.97 (assume @p1043 (forall @t27 (=> @t1388 (forall @t524 (= @t1387 (tptp.hAPP @t3 @t3 (tptp.div_mod @t3 (tptp.hAPP @t3 @t3 @t1064 @t1344)) @t324)))))) % 1.72/1.97 (assume @p1044 (forall @t121 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t400 @t1393) @t1394)) (= (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t1394) @t1393) @t82)))) % 1.72/1.97 (assume @p1045 (forall @t126 (= (tptp.hAPP tptp.int tptp.int @t1368 @t452) @t82))) % 1.72/1.97 (assume @p1046 (forall (@list @t123 @t317 @t471) (=> @t473 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t476 @t317)) (= (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t1383) @t471) (tptp.hAPP tptp.int tptp.int @t1368 @t471)))))) % 1.72/1.97 (assume @p1047 (forall @t667 (=> @t354 (= @t666 (= @t1357 @t1356))))) % 1.72/1.97 (assume @p1048 (forall @t415 (=> @t584 @t1395))) % 1.72/1.97 (assume @p1049 (forall @t415 (=> @t584 (and @t1395 @t1384)))) % 1.72/1.97 (assume @p1050 (forall @t585 (=> @t852 (=> @t1207 @t1396)))) % 1.72/1.97 (assume @p1051 (forall @t415 (=> @t1386 @t1397))) % 1.72/1.97 (assume @p1052 (forall @t415 (=> @t1386 (and @t1397 @t1385)))) % 1.72/1.97 (assume @p1053 (forall @t585 (=> @t1340 (=> @t807 @t1396)))) % 1.72/1.97 (assume @p1054 (forall @t585 (=> @t431 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t413) @t82)) (= @t1383 @t413))))) % 1.72/1.97 (assume @p1055 (forall @t165 (= (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int (tptp.number_number_of tptp.int (tptp.bit0 @t143))) @t1335) @t1338))) % 1.72/1.97 (assume @p1056 (forall (@list @t1399 @t1398 @t1401 @t103) (=> (= (tptp.ti tptp.int @t1399) (tptp.hAPP tptp.int tptp.int (tptp.plus_plus tptp.int (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t1398) @t1401)) @t103)) (=> (and (=> @t1400 (and @t586 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t311 @t1398)))) (=> (not @t1400) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t1398) @t103)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t103) @t82))))) (=> (not (= (tptp.ti tptp.int @t1398) @t82)) (= (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t1399) @t1398) @t312)))))) % 1.72/1.97 (assume @p1057 (forall @t1404 (=> @t1403 (=> @t616 (=> @t617 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t1402) @t82))))))) % 1.72/1.97 (assume @p1058 (forall @t1404 (=> @t1403 (=> @t616 (=> @t617 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t1405) @t1402))))))) % 1.72/1.97 (assume @p1059 (forall @t1404 (=> @t1403 (=> @t434 (=> @t605 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t1402) @t1405))))))) % 1.72/1.97 (assume @p1060 (forall @t1404 (=> @t1403 (=> @t434 (=> @t605 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t1402))))))) % 1.72/1.97 (assume @p1061 (forall @t1410 (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t347) @t167))) (and (=> @t1188 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t284 @t347))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t167)) (forall @t1409 (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t306 @t1406)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t1406) @t167)) @t1408) @t1407))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t267 @t82)) (forall @t1409 (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t267 @t1406)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t100 @t1406) @t82)) @t1408) @t1407))))))) % 1.72/1.97 (assume @p1062 (forall @t245 (= (not (= @t1411 @t82)) (= @t1411 @t85)))) % 1.72/1.97 (assume @p1063 (forall @t1317 (=> @t584 (= (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t452) @t317) @t1208)))) % 1.72/1.97 (assume @p1064 (forall @t585 (=> @t852 (= @t1339 (tptp.hAPP tptp.int tptp.int @t304 (tptp.hAPP tptp.int tptp.int @t417 (tptp.hAPP tptp.int tptp.int @t1354 @t123))))))) % 1.72/1.97 (assume @p1065 (forall (@list @t1413 @t1412) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.div_mod tptp.int @t1413) @t1412) @t82) (exists @t1381 (= (tptp.ti tptp.int @t1413) (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t1412) @t1380)))))) % 1.72/1.97 (assume @p1066 (forall @t1391 (=> @t865 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.times_times tptp.int @t1414) (tptp.standardRes @t471 @t103)) @t489) @t471))))) % 1.72/1.97 (assume @p1067 (forall @t658 (=> @t636 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1416 @t435))))) % 1.72/1.97 (assume @p1068 (forall @t479 (= (tptp.hAPP tptp.nat tptp.nat @t1059 @t1415) (tptp.hAPP tptp.nat tptp.nat (tptp.div_mod tptp.nat @t1061) @t1060)))) % 1.72/1.97 (assume @p1069 (forall @t1024 (= (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t1415) @t151) (tptp.hAPP tptp.nat tptp.nat (tptp.div_mod tptp.nat @t1062) @t1058)))) % 1.72/1.97 (assume @p1070 (forall @t813 (= @t1414 @t1359))) % 1.72/1.97 (assume @p1071 (forall @t658 @t1417)) % 1.72/1.97 (assume @p1072 (forall @t474 (=> @t704 @t1418))) % 1.72/1.97 (assume @p1073 (forall (@list @t151 @t435 @t471) (= (tptp.hAPP tptp.nat tptp.nat (tptp.div_mod tptp.nat (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat @t1060) @t471)) @t435) @t1415))) % 1.72/1.97 (assume @p1074 (forall @t658 @t1419)) % 1.72/1.97 (assume @p1075 (forall @t658 (and @t1417 @t1419))) % 1.72/1.97 (assume @p1076 (forall @t1382 (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.div_mod tptp.nat @t349) @t484) @t222) (exists @t1381 (= @t349 (tptp.hAPP tptp.nat tptp.nat (tptp.times_times tptp.nat @t484) @t1380)))))) % 1.72/1.97 (assume @p1077 (forall @t658 (=> @t636 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t1415) @t435))))) % 1.72/1.97 (assume @p1078 (forall @t658 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t1416 @t471)))) % 1.72/1.97 (assume @p1079 (forall @t922 (= (= (tptp.standardRes @t349 @t115) @t82) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t817 @t349))))) % 1.72/1.97 (assume @p1080 (forall @t819 (= (not @t818) (not (= @t1420 @t82))))) % 1.72/1.97 (assume @p1081 (forall @t1362 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.zcong @t106 @t1414) @t471)))) % 1.72/1.97 (assume @p1082 (forall @t677 (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool @t102 @t459)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 (tptp.standardRes @t459 @t106)) @t459))))) % 1.72/1.97 (assume @p1083 (forall @t819 (=> (tptp.hBOOL (tptp.hAPP @t53 tptp.bool (tptp.member tptp.int @t115) @t1316)) (= @t1420 @t307)))) % 1.72/1.97 (assume @p1084 (forall @t1410 (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t284 (tptp.hAPP tptp.nat tptp.nat (tptp.div_mod tptp.nat @t347) @t167))) (and (=> @t951 @t1159) (=> (not @t951) (forall @t1409 (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 @t1406) @t167)) (=> (= @t347 (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat (tptp.hAPP tptp.nat tptp.nat @t1074 @t1156)) @t1406)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t284 @t1406)))))))))) % 1.72/1.97 (assume @p1085 (forall (@list @t425 @t426 @t317 @t324) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t250 @t324)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool @t962 @t317)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat @t249 @t248 (tptp.hAPP tptp.nat tptp.nat (tptp.plus_plus tptp.nat (tptp.hAPP tptp.nat tptp.nat @t932 (tptp.hAPP tptp.nat tptp.nat (tptp.div_mod tptp.nat @t425) @t324))) @t426)) @t933)))))) % 1.72/1.97 (assume @p1086 (forall (@list @t1422 @t1421) (=> (tptp.order @t1421) (tptp.order (tptp.fun @t1422 @t1421))))) % 1.72/1.97 (assume @p1087 (tptp.semiri456707255roduct tptp.int)) % 1.72/1.97 (assume @p1088 (tptp.ordere223160158up_add tptp.int)) % 1.72/1.97 (assume @p1089 (tptp.ordere236663937imp_le tptp.int)) % 1.72/1.97 (assume @p1090 (tptp.linord893533164strict tptp.int)) % 1.72/1.97 (assume @p1091 (tptp.linord626643107strict tptp.int)) % 1.72/1.97 (assume @p1092 (tptp.linord20386208strict tptp.int)) % 1.72/1.97 (assume @p1093 (tptp.ordere779506340up_add tptp.int)) % 1.72/1.97 (assume @p1094 (tptp.ordere216010020id_add tptp.int)) % 1.72/1.97 (assume @p1095 (tptp.linord219039673up_add tptp.int)) % 1.72/1.97 (assume @p1096 (tptp.cancel146912293up_add tptp.int)) % 1.72/1.97 (assume @p1097 (tptp.ring_11004092258visors tptp.int)) % 1.72/1.97 (assume @p1098 (tptp.ordere453448008miring tptp.int)) % 1.72/1.97 (assume @p1099 (tptp.linord581940658strict tptp.int)) % 1.72/1.97 (assume @p1100 (tptp.ring_n68954251visors tptp.int)) % 1.72/1.97 (assume @p1101 (tptp.ordere1490568538miring tptp.int)) % 1.72/1.97 (assume @p1102 (tptp.linord1278240602ring_1 tptp.int)) % 1.72/1.97 (assume @p1103 (tptp.ordered_ab_group_add tptp.int)) % 1.72/1.97 (assume @p1104 (tptp.cancel_semigroup_add tptp.int)) % 1.72/1.97 (assume @p1105 (tptp.linordered_semiring tptp.int)) % 1.72/1.97 (assume @p1106 (tptp.linordered_semidom tptp.int)) % 1.72/1.97 (assume @p1107 (tptp.ab_semigroup_mult tptp.int)) % 1.72/1.97 (assume @p1108 (tptp.comm_monoid_mult tptp.int)) % 1.72/1.97 (assume @p1109 (tptp.ab_semigroup_add tptp.int)) % 1.72/1.97 (assume @p1110 (tptp.ordered_semiring tptp.int)) % 1.72/1.97 (assume @p1111 (tptp.no_zero_divisors tptp.int)) % 1.72/1.97 (assume @p1112 (tptp.comm_monoid_add tptp.int)) % 1.72/1.97 (assume @p1113 (tptp.linordered_ring tptp.int)) % 1.72/1.97 (assume @p1114 (tptp.linordered_idom tptp.int)) % 1.72/1.97 (assume @p1115 @t1423) % 1.72/1.97 (assume @p1116 (tptp.semiring_div tptp.int)) % 1.72/1.97 (assume @p1117 (tptp.comm_semiring tptp.int)) % 1.72/1.97 (assume @p1118 (tptp.number_semiring tptp.int)) % 1.72/1.97 (assume @p1119 (tptp.ab_group_add tptp.int)) % 1.72/1.97 (assume @p1120 (tptp.zero_neq_one tptp.int)) % 1.72/1.97 (assume @p1121 (tptp.ordered_ring tptp.int)) % 1.72/1.97 (assume @p1122 (tptp.linorder tptp.int)) % 1.72/1.97 (assume @p1123 (tptp.monoid_mult tptp.int)) % 1.72/1.97 (assume @p1124 (tptp.comm_ring_1 tptp.int)) % 1.72/1.97 (assume @p1125 (tptp.monoid_add tptp.int)) % 1.72/1.97 (assume @p1126 (tptp.semiring_1 tptp.int)) % 1.72/1.97 (assume @p1127 (tptp.semiring_0 tptp.int)) % 1.72/1.97 (assume @p1128 (tptp.group_add tptp.int)) % 1.72/1.97 (assume @p1129 (tptp.ring_div tptp.int)) % 1.72/1.97 (assume @p1130 (tptp.mult_zero tptp.int)) % 1.72/1.97 (assume @p1131 (tptp.comm_ring tptp.int)) % 1.72/1.97 (assume @p1132 (tptp.order tptp.int)) % 1.72/1.97 (assume @p1133 (tptp.ring_char_0 tptp.int)) % 1.72/1.97 (assume @p1134 (tptp.number_ring tptp.int)) % 1.72/1.97 (assume @p1135 (tptp.semiring tptp.int)) % 1.72/1.97 (assume @p1136 (tptp.ring_1 tptp.int)) % 1.72/1.97 (assume @p1137 (tptp.power tptp.int)) % 1.72/1.97 (assume @p1138 (tptp.zero tptp.int)) % 1.72/1.97 (assume @p1139 (tptp.plus tptp.int)) % 1.72/1.97 (assume @p1140 (tptp.ring tptp.int)) % 1.72/1.97 (assume @p1141 (tptp.idom tptp.int)) % 1.72/1.97 (assume @p1142 (tptp.number tptp.int)) % 1.72/1.97 (assume @p1143 (tptp.one tptp.int)) % 1.72/1.97 (assume @p1144 (tptp.dvd tptp.int)) % 1.72/1.97 (assume @p1145 (tptp.semiri456707255roduct tptp.nat)) % 1.72/1.97 (assume @p1146 (tptp.ordere223160158up_add tptp.nat)) % 1.72/1.97 (assume @p1147 (tptp.ordere236663937imp_le tptp.nat)) % 1.72/1.97 (assume @p1148 (tptp.linord893533164strict tptp.nat)) % 1.72/1.97 (assume @p1149 (tptp.linord20386208strict tptp.nat)) % 1.72/1.97 (assume @p1150 (tptp.ordere779506340up_add tptp.nat)) % 1.72/1.97 (assume @p1151 (tptp.ordere216010020id_add tptp.nat)) % 1.72/1.97 (assume @p1152 (tptp.cancel146912293up_add tptp.nat)) % 1.72/1.97 (assume @p1153 (tptp.ordere453448008miring tptp.nat)) % 1.72/1.97 (assume @p1154 (tptp.ordere1490568538miring tptp.nat)) % 1.72/1.97 (assume @p1155 (tptp.cancel_semigroup_add tptp.nat)) % 1.72/1.97 (assume @p1156 (tptp.linordered_semiring tptp.nat)) % 1.72/1.97 (assume @p1157 (tptp.linordered_semidom tptp.nat)) % 1.72/1.97 (assume @p1158 (tptp.ab_semigroup_mult tptp.nat)) % 1.72/1.97 (assume @p1159 (tptp.comm_monoid_mult tptp.nat)) % 1.72/1.97 (assume @p1160 (tptp.ab_semigroup_add tptp.nat)) % 1.72/1.97 (assume @p1161 (tptp.ordered_semiring tptp.nat)) % 1.72/1.97 (assume @p1162 (tptp.no_zero_divisors tptp.nat)) % 1.72/1.97 (assume @p1163 (tptp.comm_monoid_add tptp.nat)) % 1.72/1.97 (assume @p1164 (tptp.comm_semiring_1 tptp.nat)) % 1.72/1.97 (assume @p1165 (tptp.semiring_div tptp.nat)) % 1.72/1.97 (assume @p1166 (tptp.comm_semiring tptp.nat)) % 1.72/1.97 (assume @p1167 (tptp.number_semiring tptp.nat)) % 1.72/1.97 (assume @p1168 (tptp.zero_neq_one tptp.nat)) % 1.72/1.97 (assume @p1169 (tptp.linorder tptp.nat)) % 1.72/1.97 (assume @p1170 (tptp.monoid_mult tptp.nat)) % 1.72/1.97 (assume @p1171 (tptp.monoid_add tptp.nat)) % 1.72/1.97 (assume @p1172 (tptp.semiring_1 tptp.nat)) % 1.72/1.97 (assume @p1173 (tptp.semiring_0 tptp.nat)) % 1.72/1.97 (assume @p1174 (tptp.mult_zero tptp.nat)) % 1.72/1.97 (assume @p1175 (tptp.order tptp.nat)) % 1.72/1.97 (assume @p1176 (tptp.semiring tptp.nat)) % 1.72/1.97 (assume @p1177 (tptp.power tptp.nat)) % 1.72/1.97 (assume @p1178 (tptp.zero tptp.nat)) % 1.72/1.97 (assume @p1179 (tptp.plus tptp.nat)) % 1.72/1.97 (assume @p1180 (tptp.number tptp.nat)) % 1.72/1.97 (assume @p1181 (tptp.one tptp.nat)) % 1.72/1.97 (assume @p1182 (tptp.dvd tptp.nat)) % 1.72/1.97 (assume @p1183 (tptp.order tptp.bool)) % 1.72/1.97 (assume @p1184 (tptp.semiri456707255roduct tptp.real)) % 1.72/1.97 (assume @p1185 (tptp.ordere223160158up_add tptp.real)) % 1.72/1.97 (assume @p1186 (tptp.ordere236663937imp_le tptp.real)) % 1.72/1.97 (assume @p1187 (tptp.linord893533164strict tptp.real)) % 1.72/1.97 (assume @p1188 (tptp.linord626643107strict tptp.real)) % 1.72/1.97 (assume @p1189 (tptp.linord20386208strict tptp.real)) % 1.72/1.97 (assume @p1190 (tptp.ordere779506340up_add tptp.real)) % 1.72/1.97 (assume @p1191 (tptp.real_normed_algebra tptp.real)) % 1.72/1.97 (assume @p1192 (tptp.ordere216010020id_add tptp.real)) % 1.72/1.97 (assume @p1193 (tptp.linord219039673up_add tptp.real)) % 1.72/1.97 (assume @p1194 (tptp.cancel146912293up_add tptp.real)) % 1.72/1.97 (assume @p1195 (tptp.ring_11004092258visors tptp.real)) % 1.72/1.97 (assume @p1196 (tptp.ordere453448008miring tptp.real)) % 1.72/1.97 (assume @p1197 (tptp.linord581940658strict tptp.real)) % 1.72/1.97 (assume @p1198 (tptp.ring_n68954251visors tptp.real)) % 1.72/1.97 (assume @p1199 (tptp.ordere1490568538miring tptp.real)) % 1.72/1.97 (assume @p1200 (tptp.linord1278240602ring_1 tptp.real)) % 1.72/1.97 (assume @p1201 (tptp.ordered_ab_group_add tptp.real)) % 1.72/1.97 (assume @p1202 (tptp.cancel_semigroup_add tptp.real)) % 1.72/1.97 (assume @p1203 (tptp.linordered_semiring tptp.real)) % 1.72/1.97 (assume @p1204 (tptp.linordered_semidom tptp.real)) % 1.72/1.97 (assume @p1205 (tptp.ab_semigroup_mult tptp.real)) % 1.72/1.97 (assume @p1206 (tptp.comm_monoid_mult tptp.real)) % 1.72/1.97 (assume @p1207 (tptp.ab_semigroup_add tptp.real)) % 1.72/1.97 (assume @p1208 (tptp.ordered_semiring tptp.real)) % 1.72/1.97 (assume @p1209 (tptp.no_zero_divisors tptp.real)) % 1.72/1.97 (assume @p1210 (tptp.comm_monoid_add tptp.real)) % 1.72/1.97 (assume @p1211 (tptp.linordered_ring tptp.real)) % 1.72/1.97 (assume @p1212 (tptp.linordered_idom tptp.real)) % 1.72/1.97 (assume @p1213 (tptp.comm_semiring_1 tptp.real)) % 1.72/1.97 (assume @p1214 (tptp.comm_semiring tptp.real)) % 1.72/1.97 (assume @p1215 (tptp.number_semiring tptp.real)) % 1.72/1.97 (assume @p1216 (tptp.ab_group_add tptp.real)) % 1.72/1.97 (assume @p1217 (tptp.zero_neq_one tptp.real)) % 1.72/1.97 (assume @p1218 (tptp.ordered_ring tptp.real)) % 1.72/1.97 (assume @p1219 (tptp.linorder tptp.real)) % 1.72/1.97 (assume @p1220 (tptp.monoid_mult tptp.real)) % 1.72/1.97 (assume @p1221 (tptp.comm_ring_1 tptp.real)) % 1.72/1.97 (assume @p1222 (tptp.monoid_add tptp.real)) % 1.72/1.97 (assume @p1223 (tptp.semiring_1 tptp.real)) % 1.72/1.97 (assume @p1224 (tptp.semiring_0 tptp.real)) % 1.72/1.97 (assume @p1225 (tptp.group_add tptp.real)) % 1.72/1.97 (assume @p1226 (tptp.mult_zero tptp.real)) % 1.72/1.97 (assume @p1227 (tptp.comm_ring tptp.real)) % 1.72/1.97 (assume @p1228 (tptp.order tptp.real)) % 1.72/1.97 (assume @p1229 (tptp.ring_char_0 tptp.real)) % 1.72/1.97 (assume @p1230 (tptp.number_ring tptp.real)) % 1.72/1.97 (assume @p1231 (tptp.semiring tptp.real)) % 1.72/1.97 (assume @p1232 (tptp.ring_1 tptp.real)) % 1.72/1.97 (assume @p1233 (tptp.power tptp.real)) % 1.72/1.97 (assume @p1234 (tptp.zero tptp.real)) % 1.72/1.97 (assume @p1235 (tptp.plus tptp.real)) % 1.72/1.97 (assume @p1236 (tptp.ring tptp.real)) % 1.72/1.97 (assume @p1237 (tptp.idom tptp.real)) % 1.72/1.97 (assume @p1238 (tptp.number tptp.real)) % 1.72/1.97 (assume @p1239 (tptp.one tptp.real)) % 1.72/1.97 (assume @p1240 (tptp.dvd tptp.real)) % 1.72/1.97 (assume @p1241 (forall (@list @t1425 @t1424) (= (tptp.ti @t1425 @t1426) @t1426))) % 1.72/1.97 (assume @p1242 (forall @t1431 (= (tptp.hAPP @t3 @t4 (tptp.combb @t5 @t4 @t3 @t1430 @t1428) @t1427) (tptp.hAPP @t5 @t4 @t1430 @t1429)))) % 1.72/1.97 (assume @p1243 (forall @t1431 (= (tptp.hAPP @t3 @t4 (tptp.combc @t3 @t5 @t4 @t1430 @t1428) @t1427) (tptp.hAPP @t5 @t4 @t1432 @t1428)))) % 1.72/1.97 (assume @p1244 (forall @t1431 (= (tptp.hAPP @t3 @t4 (tptp.combs @t3 @t5 @t4 @t1430 @t1428) @t1427) (tptp.hAPP @t5 @t4 @t1432 @t1429)))) % 1.72/1.97 (assume @p1245 (forall (@list @t1428 @t1430) (or (not @t1435) (not @t1434) @t1433))) % 1.72/1.97 (assume @p1246 (forall @t1437 (or @t1436 @t1435))) % 1.72/1.97 (assume @p1247 (forall @t1437 (or @t1436 @t1434))) % 1.72/1.97 (assume @p1248 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int @t53 @t83 @t99) @t82)))) % 1.72/1.97 (assume @p1249 true) % 1.72/1.97 (step @p1250 :rule evaluate :args ((= true false))) % 1.72/1.97 (step @p1251 :rule false_intro :premises (@p1248)) % 1.72/1.97 (step @p1252 :rule quant-merge-prenex :args ((= (forall @t27 @t1443) (forall (@list @t3 @t1438) @t1441)))) % 1.72/1.97 (step @p1253 :rule alpha_equiv :args (@t1444 (@list @t1438) (@list @t123))) % 1.72/1.97 (step @p1254 :rule refl :args (@t1440)) % 1.72/1.97 (step @p1255 :rule nary_cong :premises (@p1254 @p1253) :args (@t1445)) % 1.72/1.97 (step @p1256 :rule quant-miniscope-or :args ((= @t1443 @t1445))) % 1.72/1.97 (step @p1257 :rule trans :premises (@p1256 @p1255)) % 1.72/1.97 (step @p1258 :rule symm :premises (@p1257)) % 1.72/1.97 (step @p1259 :rule cong :premises (@p1258) :args ((forall @t27 (or @t1440 @t1446)))) % 1.72/1.97 (step @p1260 :rule trans :premises (@p1259 @p1252)) % 1.72/1.97 (step @p1261 :rule bool-impl-elim :args (@t440 @t1446)) % 1.72/1.97 (step @p1262 :rule cong :premises (@p1261) :args ((forall @t27 (=> @t440 @t1446)))) % 1.72/1.97 (step @p1263 :rule trans :premises (@p1262 @p1260)) % 1.72/1.97 (step @p1264 :rule eq-symm :args (@t540 @t45)) % 1.72/1.97 (step @p1265 :rule cong :premises (@p1264) :args (@t541)) % 1.72/1.97 (step @p1266 :rule refl :args (@t440)) % 1.72/1.97 (step @p1267 :rule cong :premises (@p1266 @p1265) :args (@t542)) % 1.72/1.97 (step @p1268 :rule cong :premises (@p1267) :args (@t543)) % 1.72/1.97 (step @p1269 :rule trans :premises (@p1268 @p1263)) % 1.72/1.97 (step @p1270 :rule eq_resolve :premises (@p333 @p1269)) % 1.72/1.97 (step @p1271 :rule instantiate :premises (@p1270) :args ((@list tptp.int @t90))) % 1.72/1.97 (step @p1272 :rule cnf_or_pos :args (@t1449)) % 1.72/1.97 (step @p1273 :rule reordering :premises (@p1272) :args ((or @t1448 @t1447 (not @t1449)))) % 1.72/1.97 (step @p1274 :rule chain_m_resolution :premises (@p1273 @p1115 @p1271) :args (@t1447 (@list false false) (@list @t1423 @t1449))) % 1.72/1.97 (step @p1275 :rule symm :premises (@p1274)) % 1.72/1.97 (step @p1276 :rule symm :premises (@p101)) % 1.72/1.97 (step @p1277 :rule refl :args (@t83)) % 1.72/1.97 (step @p1278 :rule refl :args (@t53)) % 1.72/1.97 (step @p1279 :rule refl :args (tptp.int)) % 1.72/1.97 (step @p1280 :rule cong :premises (@p1279 @p1278 @p1277 @p1276) :args (@t94)) % 1.72/1.97 (step @p1281 :rule refl :args (@t1451)) % 1.72/1.97 (step @p1282 :rule bool-double-not-elim :args (@t148)) % 1.72/1.97 (step @p1283 :rule nary_cong :premises (@p1282 @p1281) :args ((or (not @t149) @t1451))) % 1.72/1.97 (step @p1284 :rule bool-double-not-elim :args (@t1451)) % 1.72/1.97 (step @p1285 :rule refl :args (@t149)) % 1.72/1.97 (step @p1286 :rule cong :premises (@p1285 @p1284) :args ((=> @t149 @t1452))) % 1.72/1.97 (assume-push @p1310 @t149) % 1.72/1.97 (step @p1288 :rule skolemize :premises (@p116)) % 1.72/1.97 (step-pop @p1311 :rule scope :premises (@p1288)) % 1.72/1.97 (step @p1289 :rule process_scope :premises (@p1311) :args (@t1452)) % 1.72/1.97 (step @p1291 :rule eq_resolve :premises (@p1289 @p1286)) % 1.72/1.97 (step @p1292 :rule implies_elim :premises (@p1291)) % 1.72/1.97 (step @p1293 :rule eq_resolve :premises (@p1292 @p1283)) % 1.72/1.97 (step @p1294 :rule chain_m_resolution :premises (@p1293 @p116) :args (@t1451 (@list true) (@list @t148))) % 1.72/1.97 (step @p1295 :rule symm :premises (@p1294)) % 1.72/1.97 (step @p1296 :rule trans :premises (@p1295 @p101)) % 1.72/1.97 (step @p1297 :rule cong :premises (@p1279 @p1278 @p1277 @p1296) :args (@t1453)) % 1.72/1.97 (step @p1298 :rule trans :premises (@p1297 @p1280)) % 1.72/1.97 (step @p1299 :rule refl :args (tptp.bool)) % 1.72/1.97 (step @p1300 :rule cong :premises (@p1279 @p1299 @p1298 @p1275) :args (@t1454)) % 1.72/1.97 (step @p1301 :rule cong :premises (@p1300) :args ((tptp.hBOOL @t1454))) % 1.72/1.97 (step @p1302 :rule refl :args (@t92)) % 1.72/1.97 (step @p1303 :rule symm :premises (@p1297)) % 1.72/1.97 (step @p1304 :rule cong :premises (@p1279 @p1299 @p1303 @p1302) :args (@t95)) % 1.72/1.97 (step @p1305 :rule cong :premises (@p1304) :args (@t96)) % 1.72/1.97 (step @p1306 :rule true_intro :premises (@p100)) % 1.72/1.97 (step @p1307 :rule symm :premises (@p1306)) % 1.72/1.97 (step @p1308 :rule trans :premises (@p1307 @p1305 @p1301 @p1251)) % 1.72/1.97 (step @p1309 false :rule eq_resolve :premises (@p1308 @p1250)) % 1.72/1.97 ) % 1.72/1.97 % SZS output end Proof % 1.72/1.97 % cvc5 exiting %------------------------------------------------------------------------------