%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM924+6 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 0.85s 1.09s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM924+6 : TPTP v9.2.1. Released v5.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 12:33:00 EDT 2026 % 0.16/0.34 % CPUTime : % 0.38/0.62 %----Proving TF0_NAR, FOF, or CNF % 0.85/1.09 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.85/1.09 % SZS status Theorem % 0.85/1.09 % SZS output start Proof % 0.85/1.09 ( % 0.85/1.09 (declare-sort $$unsorted 0) % 0.85/1.09 (declare-const tptp.bool $$unsorted) % 0.85/1.09 (declare-const tptp.ordere453448008miring (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.power_power (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.order (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.linordered_semidom (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.min $$unsorted) % 0.85/1.09 (declare-const tptp.zero_zero (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.ring_n68954251visors (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.ordered_ring (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.number_number_of (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.zprime (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.no_zero_divisors (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.s $$unsorted) % 0.85/1.09 (declare-const tptp.linord219039673up_add (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.ti (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.one_one (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.t $$unsorted) % 0.85/1.09 (declare-const tptp.linord581940658strict (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.ord_less_eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.m $$unsorted) % 0.85/1.09 (declare-const tptp.int $$unsorted) % 0.85/1.09 (declare-const tptp.comm_monoid_mult (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.bit1 (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.zero_neq_one (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.monoid_mult (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.nat $$unsorted) % 0.85/1.09 (declare-const tptp.pls $$unsorted) % 0.85/1.09 (declare-const tptp.plus_plus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.linordered_idom (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.power (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.bit0 (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.linord626643107strict (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.undefined (-> $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.ring_11004092258visors (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.semiring_0 (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.ab_group_add (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.ord_less (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.number_ring (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.ring_1 (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.semiring (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.times_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.dvd_dvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.number (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.number_semiring (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.dvd (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.minus_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.legendre (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.09 (declare-const tptp.twoSqu420862341sum2sq (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.s1 $$unsorted) % 0.85/1.09 (declare-const tptp.mult_zero (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.semiring_1 (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.linordered_ring (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.linorder (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.ring_char_0 (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.real $$unsorted) % 0.85/1.09 (declare-const tptp.comm_semiring_1 (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.zcong (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.semiri456707255roduct (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.ring (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.comm_semiring (-> $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.quadRes (-> $$unsorted $$unsorted Bool)) % 0.85/1.09 (declare-const tptp.comm_ring_1 (-> $$unsorted Bool)) % 0.85/1.09 (define @t1 () (@var "B_2_1" $$unsorted)) % 0.85/1.09 (define @t2 () (@var "B_1_1" $$unsorted)) % 0.85/1.09 (define @t3 () (@var "X_a" $$unsorted)) % 0.85/1.09 (define @t4 () (tptp.minus_minus @t3 @t2 @t1)) % 0.85/1.09 (define @t5 () (tptp.ti @t3 @t2)) % 0.85/1.09 (define @t6 () (tptp.ab_group_add @t3)) % 0.85/1.09 (define @t7 () (@list @t2 @t1 @t3)) % 0.85/1.09 (define @t8 () (tptp.ti @t3 @t1)) % 0.85/1.09 (define @t9 () (tptp.minus_minus tptp.nat @t2 @t1)) % 0.85/1.09 (define @t10 () (@list @t2 @t1)) % 0.85/1.09 (define @t11 () (tptp.ti tptp.nat @t1)) % 0.85/1.09 (define @t12 () (tptp.one_one @t3)) % 0.85/1.09 (define @t13 () (= (tptp.ti @t3 @t12) @t12)) % 0.85/1.09 (define @t14 () (tptp.zero_neq_one @t3)) % 0.85/1.09 (define @t15 () (@list @t3)) % 0.85/1.09 (define @t16 () (tptp.power @t3)) % 0.85/1.09 (define @t17 () (tptp.plus_plus @t3 @t2 @t1)) % 0.85/1.09 (define @t18 () (= (tptp.plus_plus @t3 @t5 @t1) @t17)) % 0.85/1.09 (define @t19 () (tptp.semiring @t3)) % 0.85/1.09 (define @t20 () (= (tptp.plus_plus @t3 @t2 @t8) @t17)) % 0.85/1.09 (define @t21 () (= (tptp.ti @t3 @t17) @t17)) % 0.85/1.09 (define @t22 () (tptp.times_times @t3 @t2 @t1)) % 0.85/1.09 (define @t23 () (= (tptp.times_times @t3 @t5 @t1) @t22)) % 0.85/1.09 (define @t24 () (tptp.dvd @t3)) % 0.85/1.09 (define @t25 () (= (tptp.times_times @t3 @t2 @t8) @t22)) % 0.85/1.09 (define @t26 () (= (tptp.ti @t3 @t22) @t22)) % 0.85/1.09 (define @t27 () (tptp.no_zero_divisors @t3)) % 0.85/1.09 (define @t28 () (tptp.mult_zero @t3)) % 0.85/1.09 (define @t29 () (tptp.zero_zero @t3)) % 0.85/1.09 (define @t30 () (= (tptp.ti @t3 @t29) @t29)) % 0.85/1.09 (define @t31 () (tptp.linord219039673up_add @t3)) % 0.85/1.09 (define @t32 () (tptp.undefined @t3)) % 0.85/1.09 (define @t33 () (@var "B_3" $$unsorted)) % 0.85/1.09 (define @t34 () (tptp.zcong @t2 @t1 @t33)) % 0.85/1.09 (define @t35 () (tptp.ti tptp.int @t2)) % 0.85/1.09 (define @t36 () (@list @t2 @t1 @t33)) % 0.85/1.09 (define @t37 () (tptp.ti tptp.int @t1)) % 0.85/1.09 (define @t38 () (@list @t2)) % 0.85/1.09 (define @t39 () (tptp.bit0 @t2)) % 0.85/1.09 (define @t40 () (tptp.bit1 @t2)) % 0.85/1.09 (define @t41 () (tptp.number_number_of @t3 @t2)) % 0.85/1.09 (define @t42 () (tptp.number @t3)) % 0.85/1.09 (define @t43 () (@list @t2 @t3)) % 0.85/1.09 (define @t44 () (tptp.ord_less @t3 @t2 @t1)) % 0.85/1.09 (define @t45 () (tptp.order @t3)) % 0.85/1.09 (define @t46 () (tptp.ord_less_eq @t3 @t2 @t1)) % 0.85/1.09 (define @t47 () (tptp.power_power @t3 @t2 @t1)) % 0.85/1.09 (define @t48 () (tptp.legendre @t2 @t1)) % 0.85/1.09 (define @t49 () (tptp.quadRes @t2 @t1)) % 0.85/1.09 (define @t50 () (tptp.dvd_dvd @t3 @t2 @t1)) % 0.85/1.09 (define @t51 () (tptp.zero_zero tptp.int)) % 0.85/1.09 (define @t52 () (tptp.one_one tptp.int)) % 0.85/1.09 (define @t53 () (tptp.bit1 tptp.pls)) % 0.85/1.09 (define @t54 () (tptp.bit0 @t53)) % 0.85/1.09 (define @t55 () (tptp.bit0 @t54)) % 0.85/1.09 (define @t56 () (tptp.number_number_of tptp.int @t55)) % 0.85/1.09 (define @t57 () (tptp.plus_plus tptp.int (tptp.times_times tptp.int @t56 tptp.m) @t52)) % 0.85/1.09 (define @t58 () (tptp.times_times tptp.int @t57 @t51)) % 0.85/1.09 (define @t59 () (tptp.times_times tptp.int @t57 tptp.t)) % 0.85/1.09 (define @t60 () (tptp.ord_less tptp.int @t59 @t58)) % 0.85/1.09 (define @t61 () (tptp.number_number_of tptp.nat @t54)) % 0.85/1.09 (define @t62 () (tptp.power_power tptp.int tptp.s @t61)) % 0.85/1.09 (define @t63 () (tptp.plus_plus tptp.int @t62 @t52)) % 0.85/1.09 (define @t64 () (@var "Y" $$unsorted)) % 0.85/1.09 (define @t65 () (tptp.power_power @t3 @t64 @t61)) % 0.85/1.09 (define @t66 () (@var "X" $$unsorted)) % 0.85/1.09 (define @t67 () (tptp.power_power @t3 @t66 @t61)) % 0.85/1.09 (define @t68 () (tptp.plus_plus @t3 @t67 @t65)) % 0.85/1.09 (define @t69 () (@list @t66 @t64)) % 0.85/1.09 (define @t70 () (tptp.linordered_idom @t3)) % 0.85/1.09 (define @t71 () (@var "Y_2" $$unsorted)) % 0.85/1.09 (define @t72 () (tptp.ti @t3 @t71)) % 0.85/1.09 (define @t73 () (= @t72 @t29)) % 0.85/1.09 (define @t74 () (@var "X_2" $$unsorted)) % 0.85/1.09 (define @t75 () (tptp.ti @t3 @t74)) % 0.85/1.09 (define @t76 () (= @t75 @t29)) % 0.85/1.09 (define @t77 () (or (not @t76) (not @t73))) % 0.85/1.09 (define @t78 () (tptp.plus_plus @t3 (tptp.power_power @t3 @t74 @t61) (tptp.power_power @t3 @t71 @t61))) % 0.85/1.09 (define @t79 () (@list @t74 @t71)) % 0.85/1.09 (define @t80 () (and @t76 @t73)) % 0.85/1.09 (define @t81 () (@var "A_1" $$unsorted)) % 0.85/1.09 (define @t82 () (tptp.power_power @t3 @t81 @t61)) % 0.85/1.09 (define @t83 () (@list @t81)) % 0.85/1.09 (define @t84 () (@var "A_2" $$unsorted)) % 0.85/1.09 (define @t85 () (tptp.ti @t3 @t84)) % 0.85/1.09 (define @t86 () (= @t85 @t29)) % 0.85/1.09 (define @t87 () (tptp.power_power @t3 @t84 @t61)) % 0.85/1.09 (define @t88 () (@list @t84)) % 0.85/1.09 (define @t89 () (tptp.semiring_1 @t3)) % 0.85/1.09 (define @t90 () (tptp.ring_11004092258visors @t3)) % 0.85/1.09 (define @t91 () (@var "W" $$unsorted)) % 0.85/1.09 (define @t92 () (tptp.number_number_of @t3 @t91)) % 0.85/1.09 (define @t93 () (tptp.plus_plus @t3 @t12 @t92)) % 0.85/1.09 (define @t94 () (@list @t91)) % 0.85/1.09 (define @t95 () (tptp.number_ring @t3)) % 0.85/1.09 (define @t96 () (@var "V" $$unsorted)) % 0.85/1.09 (define @t97 () (tptp.number_number_of @t3 @t96)) % 0.85/1.09 (define @t98 () (@var "T_1" $$unsorted)) % 0.85/1.09 (define @t99 () (@var "K" $$unsorted)) % 0.85/1.09 (define @t100 () (tptp.ti tptp.int @t99)) % 0.85/1.09 (define @t101 () (@list @t99)) % 0.85/1.09 (define @t102 () (@var "Z" $$unsorted)) % 0.85/1.09 (define @t103 () (@list @t102 @t91)) % 0.85/1.09 (define @t104 () (tptp.ord_less_eq tptp.int @t91 @t102)) % 0.85/1.09 (define @t105 () (tptp.ord_less_eq tptp.int @t102 @t91)) % 0.85/1.09 (define @t106 () (tptp.times_times tptp.int @t96 @t91)) % 0.85/1.09 (define @t107 () (tptp.number_number_of tptp.int @t91)) % 0.85/1.09 (define @t108 () (tptp.number_number_of tptp.int @t96)) % 0.85/1.09 (define @t109 () (@list @t96 @t91)) % 0.85/1.09 (define @t110 () (@var "L_1" $$unsorted)) % 0.85/1.09 (define @t111 () (@var "K_1" $$unsorted)) % 0.85/1.09 (define @t112 () (tptp.ord_less_eq tptp.int @t111 @t110)) % 0.85/1.09 (define @t113 () (tptp.number_number_of tptp.int @t110)) % 0.85/1.09 (define @t114 () (tptp.number_number_of tptp.int @t111)) % 0.85/1.09 (define @t115 () (@list @t111 @t110)) % 0.85/1.09 (define @t116 () (tptp.number_number_of @t3 @t71)) % 0.85/1.09 (define @t117 () (tptp.number_number_of @t3 @t74)) % 0.85/1.09 (define @t118 () (and @t95 @t70)) % 0.85/1.09 (define @t119 () (@var "Z3" $$unsorted)) % 0.85/1.09 (define @t120 () (@var "Z2" $$unsorted)) % 0.85/1.09 (define @t121 () (@var "Z1" $$unsorted)) % 0.85/1.09 (define @t122 () (@list @t121 @t120 @t119)) % 0.85/1.09 (define @t123 () (@var "I" $$unsorted)) % 0.85/1.09 (define @t124 () (@var "J" $$unsorted)) % 0.85/1.09 (define @t125 () (tptp.ord_less_eq tptp.int @t123 @t124)) % 0.85/1.09 (define @t126 () (@list @t99 @t123 @t124)) % 0.85/1.09 (define @t127 () (tptp.ti tptp.int @t102)) % 0.85/1.09 (define @t128 () (tptp.power_power tptp.int @t66 @t102)) % 0.85/1.09 (define @t129 () (tptp.power_power tptp.int @t66 @t64)) % 0.85/1.09 (define @t130 () (@list @t66 @t64 @t102)) % 0.85/1.09 (define @t131 () (@var "K2" $$unsorted)) % 0.85/1.09 (define @t132 () (@var "K1" $$unsorted)) % 0.85/1.09 (define @t133 () (tptp.ord_less_eq tptp.int @t132 @t131)) % 0.85/1.09 (define @t134 () (tptp.bit1 @t131)) % 0.85/1.09 (define @t135 () (tptp.bit1 @t132)) % 0.85/1.09 (define @t136 () (@list @t132 @t131)) % 0.85/1.09 (define @t137 () (tptp.bit1 @t110)) % 0.85/1.09 (define @t138 () (tptp.bit1 @t111)) % 0.85/1.09 (define @t139 () (tptp.bit0 @t131)) % 0.85/1.09 (define @t140 () (tptp.bit0 @t132)) % 0.85/1.09 (define @t141 () (tptp.bit0 @t110)) % 0.85/1.09 (define @t142 () (tptp.bit0 @t111)) % 0.85/1.09 (define @t143 () (@var "W_1" $$unsorted)) % 0.85/1.09 (define @t144 () (tptp.ti tptp.int @t143)) % 0.85/1.09 (define @t145 () (@var "Z_1" $$unsorted)) % 0.85/1.09 (define @t146 () (tptp.ti tptp.int @t145)) % 0.85/1.09 (define @t147 () (@var "V_3" $$unsorted)) % 0.85/1.09 (define @t148 () (tptp.ord_less_eq tptp.int @t147 tptp.pls)) % 0.85/1.09 (define @t149 () (tptp.zero_zero tptp.nat)) % 0.85/1.09 (define @t150 () (tptp.number_number_of tptp.nat @t147)) % 0.85/1.09 (define @t151 () (@list @t147)) % 0.85/1.09 (define @t152 () (@var "V_1" $$unsorted)) % 0.85/1.09 (define @t153 () (tptp.times_times tptp.int @t96 @t152)) % 0.85/1.09 (define @t154 () (tptp.number_number_of @t3 @t152)) % 0.85/1.09 (define @t155 () (tptp.ord_less_eq tptp.int tptp.pls @t152)) % 0.85/1.09 (define @t156 () (tptp.ord_less_eq tptp.int tptp.pls @t96)) % 0.85/1.09 (define @t157 () (@list @t152 @t96)) % 0.85/1.09 (define @t158 () (tptp.number_semiring @t3)) % 0.85/1.09 (define @t159 () (tptp.number_number_of @t3 @t106)) % 0.85/1.09 (define @t160 () (@list @t96 @t91 @t102)) % 0.85/1.09 (define @t161 () (tptp.times_times @t3 @t97 @t92)) % 0.85/1.09 (define @t162 () (tptp.plus_plus @t3 (tptp.times_times @t3 @t74 @t74) (tptp.times_times @t3 @t71 @t71))) % 0.85/1.09 (define @t163 () (tptp.linord581940658strict @t3)) % 0.85/1.09 (define @t164 () (tptp.times_times @t3 @t66 @t66)) % 0.85/1.09 (define @t165 () (tptp.plus_plus @t3 @t164 (tptp.times_times @t3 @t64 @t64))) % 0.85/1.09 (define @t166 () (tptp.linordered_ring @t3)) % 0.85/1.09 (define @t167 () (@list @t74)) % 0.85/1.09 (define @t168 () (@list @t71)) % 0.85/1.09 (define @t169 () (tptp.number_number_of @t3 @t147)) % 0.85/1.09 (define @t170 () (tptp.number_number_of @t3 @t143)) % 0.85/1.09 (define @t171 () (tptp.ord_less_eq tptp.int tptp.pls @t111)) % 0.85/1.09 (define @t172 () (@list @t111)) % 0.85/1.09 (define @t173 () (tptp.plus_plus tptp.int @t91 @t102)) % 0.85/1.09 (define @t174 () (@var "Z_2" $$unsorted)) % 0.85/1.09 (define @t175 () (@var "W_2" $$unsorted)) % 0.85/1.09 (define @t176 () (tptp.number_number_of tptp.nat tptp.pls)) % 0.85/1.09 (define @t177 () (tptp.one_one tptp.nat)) % 0.85/1.09 (define @t178 () (@var "L" $$unsorted)) % 0.85/1.09 (define @t179 () (tptp.bit0 (tptp.times_times tptp.int @t99 @t178))) % 0.85/1.09 (define @t180 () (tptp.bit0 @t99)) % 0.85/1.09 (define @t181 () (@list @t99 @t178)) % 0.85/1.09 (define @t182 () (tptp.ord_less tptp.int @t111 @t110)) % 0.85/1.09 (define @t183 () (@list @t102)) % 0.85/1.09 (define @t184 () (tptp.plus_plus tptp.int @t96 @t91)) % 0.85/1.09 (define @t185 () (tptp.times_times tptp.int @t120 @t91)) % 0.85/1.09 (define @t186 () (tptp.times_times tptp.int @t121 @t91)) % 0.85/1.09 (define @t187 () (tptp.plus_plus tptp.int @t121 @t120)) % 0.85/1.09 (define @t188 () (@list @t121 @t120 @t91)) % 0.85/1.09 (define @t189 () (tptp.times_times tptp.int @t91 @t120)) % 0.85/1.09 (define @t190 () (tptp.times_times tptp.int @t91 @t121)) % 0.85/1.09 (define @t191 () (@list @t91 @t121 @t120)) % 0.85/1.09 (define @t192 () (tptp.ord_less tptp.int @t111 tptp.pls)) % 0.85/1.09 (define @t193 () (tptp.ord_less tptp.int @t132 @t131)) % 0.85/1.09 (define @t194 () (@var "V_2" $$unsorted)) % 0.85/1.09 (define @t195 () (tptp.ord_less tptp.int @t147 @t194)) % 0.85/1.09 (define @t196 () (tptp.number_number_of tptp.nat @t194)) % 0.85/1.09 (define @t197 () (@list @t147 @t194)) % 0.85/1.09 (define @t198 () (@list @t145)) % 0.85/1.09 (define @t199 () (tptp.number_number_of tptp.nat @t53)) % 0.85/1.09 (define @t200 () (tptp.ord_less_eq tptp.int (tptp.plus_plus tptp.int @t91 @t52) @t102)) % 0.85/1.09 (define @t201 () (tptp.ord_less tptp.int @t91 @t102)) % 0.85/1.09 (define @t202 () (forall (@list @t91 @t102) (=> @t201 @t200))) % 0.85/1.09 (define @t203 () (tptp.ord_less tptp.int @t143 @t145)) % 0.85/1.09 (define @t204 () (@list @t143 @t145)) % 0.85/1.09 (define @t205 () (forall @t204 (= (tptp.ord_less_eq tptp.int (tptp.plus_plus tptp.int @t143 @t52) @t145) @t203))) % 0.85/1.09 (define @t206 () (tptp.ord_less tptp.int @t143 (tptp.plus_plus tptp.int @t145 @t52))) % 0.85/1.09 (define @t207 () (tptp.plus_plus tptp.int @t96 @t152)) % 0.85/1.09 (define @t208 () (tptp.number_number_of tptp.nat @t152)) % 0.85/1.09 (define @t209 () (tptp.number_number_of tptp.nat @t96)) % 0.85/1.09 (define @t210 () (tptp.plus_plus tptp.nat @t209 @t208)) % 0.85/1.09 (define @t211 () (tptp.ord_less tptp.int @t152 tptp.pls)) % 0.85/1.09 (define @t212 () (tptp.ord_less tptp.int @t96 tptp.pls)) % 0.85/1.09 (define @t213 () (not @t212)) % 0.85/1.09 (define @t214 () (tptp.plus_plus tptp.int @t52 @t102)) % 0.85/1.09 (define @t215 () (tptp.ti tptp.int @t110)) % 0.85/1.09 (define @t216 () (tptp.ti tptp.int @t111)) % 0.85/1.09 (define @t217 () (= @t216 @t215)) % 0.85/1.09 (define @t218 () (tptp.ti tptp.int @t66)) % 0.85/1.09 (define @t219 () (= @t218 (tptp.ti tptp.int @t64))) % 0.85/1.09 (define @t220 () (@var "X_b" $$unsorted)) % 0.85/1.09 (define @t221 () (tptp.number_number_of @t220 @t96)) % 0.85/1.09 (define @t222 () (@var "B" $$unsorted)) % 0.85/1.09 (define @t223 () (tptp.times_times @t220 @t222 @t221)) % 0.85/1.09 (define @t224 () (tptp.times_times @t220 @t81 @t221)) % 0.85/1.09 (define @t225 () (@list @t81 @t222 @t96)) % 0.85/1.09 (define @t226 () (tptp.number @t220)) % 0.85/1.09 (define @t227 () (and @t226 (tptp.semiring @t220))) % 0.85/1.09 (define @t228 () (@list @t220)) % 0.85/1.09 (define @t229 () (@var "C" $$unsorted)) % 0.85/1.09 (define @t230 () (tptp.times_times @t220 @t221 @t229)) % 0.85/1.09 (define @t231 () (tptp.times_times @t220 @t221 @t222)) % 0.85/1.09 (define @t232 () (@list @t96 @t222 @t229)) % 0.85/1.09 (define @t233 () (tptp.number_number_of tptp.int tptp.pls)) % 0.85/1.09 (define @t234 () (tptp.ord_less tptp.int @t123 @t124)) % 0.85/1.09 (define @t235 () (tptp.ti @t3 @t66)) % 0.85/1.09 (define @t236 () (= @t235 (tptp.ti @t3 @t64))) % 0.85/1.09 (define @t237 () (tptp.ord_less_eq @t3 @t29 @t64)) % 0.85/1.09 (define @t238 () (tptp.linordered_semidom @t3)) % 0.85/1.09 (define @t239 () (tptp.ord_less_eq @t3 @t66 @t64)) % 0.85/1.09 (define @t240 () (tptp.ord_less @t3 @t66 @t64)) % 0.85/1.09 (define @t241 () (tptp.ti @t3 @t81)) % 0.85/1.09 (define @t242 () (tptp.number_number_of @t3 @t53)) % 0.85/1.09 (define @t243 () (tptp.bit1 @t99)) % 0.85/1.09 (define @t244 () (@var "N_1" $$unsorted)) % 0.85/1.09 (define @t245 () (tptp.ti tptp.int @t244)) % 0.85/1.09 (define @t246 () (@var "Ma" $$unsorted)) % 0.85/1.09 (define @t247 () (tptp.ti tptp.int @t246)) % 0.85/1.09 (define @t248 () (and (= @t247 @t52) (= @t245 @t52))) % 0.85/1.09 (define @t249 () (= (tptp.times_times tptp.int @t246 @t244) @t52)) % 0.85/1.09 (define @t250 () (@list @t244 @t246)) % 0.85/1.09 (define @t251 () (tptp.plus_plus @t3 @t84 @t84)) % 0.85/1.09 (define @t252 () (tptp.bit1 @t178)) % 0.85/1.09 (define @t253 () (@list @t178)) % 0.85/1.09 (define @t254 () (tptp.bit0 @t178)) % 0.85/1.09 (define @t255 () (@list @t110)) % 0.85/1.09 (define @t256 () (tptp.plus_plus tptp.int @t99 @t178)) % 0.85/1.09 (define @t257 () (tptp.number_number_of @t3 (tptp.bit0 @t91))) % 0.85/1.09 (define @t258 () (tptp.plus_plus @t3 @t12 @t12)) % 0.85/1.09 (define @t259 () (tptp.times_times @t3 @t81 @t81)) % 0.85/1.09 (define @t260 () (tptp.bit1 @t53)) % 0.85/1.09 (define @t261 () (tptp.number_number_of tptp.nat @t260)) % 0.85/1.09 (define @t262 () (tptp.monoid_mult @t3)) % 0.85/1.09 (define @t263 () (tptp.plus_plus @t3 @t102 @t102)) % 0.85/1.09 (define @t264 () (tptp.number_number_of @t3 @t54)) % 0.85/1.09 (define @t265 () (forall @t183 (= (tptp.times_times @t3 @t264 @t102) @t263))) % 0.85/1.09 (define @t266 () (forall @t183 (= (tptp.times_times @t3 @t102 @t264) @t263))) % 0.85/1.09 (define @t267 () (tptp.number_number_of @t3 tptp.pls)) % 0.85/1.09 (define @t268 () (= @t267 @t29)) % 0.85/1.09 (define @t269 () (tptp.number_number_of @t3 @t184)) % 0.85/1.09 (define @t270 () (tptp.plus_plus @t3 @t97 @t92)) % 0.85/1.09 (define @t271 () (tptp.ord_less tptp.int @t143 @t51)) % 0.85/1.09 (define @t272 () (@list @t143)) % 0.85/1.09 (define @t273 () (tptp.bit1 @t256)) % 0.85/1.09 (define @t274 () (tptp.number_number_of @t220 @t91)) % 0.85/1.09 (define @t275 () (tptp.times_times @t3 (tptp.times_times @t3 @t264 @t66) @t64)) % 0.85/1.09 (define @t276 () (= @t242 @t12)) % 0.85/1.09 (define @t277 () (= @t258 @t264)) % 0.85/1.09 (define @t278 () (tptp.power_power tptp.int @t222 @t261)) % 0.85/1.09 (define @t279 () (tptp.power_power tptp.int @t222 @t61)) % 0.85/1.09 (define @t280 () (tptp.number_number_of tptp.int @t260)) % 0.85/1.09 (define @t281 () (tptp.times_times tptp.int (tptp.times_times tptp.int @t280 @t81) @t279)) % 0.85/1.09 (define @t282 () (tptp.power_power tptp.int @t81 @t61)) % 0.85/1.09 (define @t283 () (tptp.times_times tptp.int (tptp.times_times tptp.int @t280 @t282) @t222)) % 0.85/1.09 (define @t284 () (tptp.power_power tptp.int @t81 @t261)) % 0.85/1.09 (define @t285 () (tptp.plus_plus tptp.int @t81 @t222)) % 0.85/1.09 (define @t286 () (@list @t81 @t222)) % 0.85/1.09 (define @t287 () (tptp.number_number_of tptp.int @t54)) % 0.85/1.09 (define @t288 () (tptp.times_times tptp.int (tptp.times_times tptp.int @t287 @t81) @t222)) % 0.85/1.09 (define @t289 () (= @t218 @t51)) % 0.85/1.09 (define @t290 () (tptp.ord_less_eq tptp.int @t51 @t66)) % 0.85/1.09 (define @t291 () (@list @t66)) % 0.85/1.09 (define @t292 () (tptp.power_power tptp.int @t66 @t61)) % 0.85/1.09 (define @t293 () (@var "Q" $$unsorted)) % 0.85/1.09 (define @t294 () (@var "R" $$unsorted)) % 0.85/1.09 (define @t295 () (tptp.ti tptp.int @t81)) % 0.85/1.09 (define @t296 () (= @t295 (tptp.plus_plus tptp.int @t294 (tptp.times_times tptp.int @t81 @t293)))) % 0.85/1.09 (define @t297 () (tptp.ord_less tptp.int @t51 @t81)) % 0.85/1.09 (define @t298 () (@list @t294 @t293 @t81)) % 0.85/1.09 (define @t299 () (tptp.ord_less_eq tptp.int @t51 @t294)) % 0.85/1.09 (define @t300 () (@var "N" $$unsorted)) % 0.85/1.09 (define @t301 () (tptp.power_power @t3 @t66 @t300)) % 0.85/1.09 (define @t302 () (tptp.times_times tptp.nat @t61 @t300)) % 0.85/1.09 (define @t303 () (@list @t66 @t300)) % 0.85/1.09 (define @t304 () (tptp.comm_semiring_1 @t3)) % 0.85/1.09 (define @t305 () (tptp.power_power tptp.int tptp.s1 @t61)) % 0.85/1.09 (define @t306 () (@var "X_1" $$unsorted)) % 0.85/1.09 (define @t307 () (@var "Y_1" $$unsorted)) % 0.85/1.09 (define @t308 () (@list @t307)) % 0.85/1.09 (define @t309 () (@list @t306)) % 0.85/1.09 (define @t310 () (@var "S" $$unsorted)) % 0.85/1.09 (define @t311 () (tptp.number_number_of tptp.int tptp.min)) % 0.85/1.09 (define @t312 () (tptp.ord_less tptp.nat @t149 @t74)) % 0.85/1.09 (define @t313 () (= @t244 @t149)) % 0.85/1.09 (define @t314 () (tptp.power_power tptp.nat @t74 @t244)) % 0.85/1.09 (define @t315 () (tptp.ord_less tptp.nat @t149 @t314)) % 0.85/1.09 (define @t316 () (@list @t74 @t244)) % 0.85/1.09 (define @t317 () (@var "P" $$unsorted)) % 0.85/1.09 (define @t318 () (tptp.dvd_dvd tptp.int @t317 @t81)) % 0.85/1.09 (define @t319 () (tptp.zprime @t317)) % 0.85/1.09 (define @t320 () (tptp.power_power @t3 @t66 @t317)) % 0.85/1.09 (define @t321 () (@list @t66 @t317 @t293)) % 0.85/1.09 (define @t322 () (tptp.power_power tptp.int @t317 @t300)) % 0.85/1.09 (define @t323 () (tptp.times_times tptp.int @t81 @t222)) % 0.85/1.09 (define @t324 () (tptp.dvd_dvd tptp.int @t322 @t323)) % 0.85/1.09 (define @t325 () (tptp.power_power tptp.int @t66 (tptp.times_times tptp.nat @t64 @t102))) % 0.85/1.09 (define @t326 () (@var "M" $$unsorted)) % 0.85/1.09 (define @t327 () (tptp.dvd_dvd tptp.int @t300 @t326)) % 0.85/1.09 (define @t328 () (tptp.ord_less tptp.int @t51 @t326)) % 0.85/1.09 (define @t329 () (@list @t300 @t326)) % 0.85/1.09 (define @t330 () (tptp.ti tptp.int @t326)) % 0.85/1.09 (define @t331 () (tptp.dvd_dvd tptp.int @t326 @t300)) % 0.85/1.09 (define @t332 () (tptp.ord_less_eq tptp.int @t51 @t326)) % 0.85/1.09 (define @t333 () (@list @t99 @t326 @t300)) % 0.85/1.09 (define @t334 () (@var "Ta" $$unsorted)) % 0.85/1.09 (define @t335 () (@var "D_1" $$unsorted)) % 0.85/1.09 (define @t336 () (@var "C_1" $$unsorted)) % 0.85/1.09 (define @t337 () (tptp.times_times tptp.int @t66 @t64)) % 0.85/1.09 (define @t338 () (@list @t64 @t66)) % 0.85/1.09 (define @t339 () (@var "Ry" $$unsorted)) % 0.85/1.09 (define @t340 () (@var "Ly" $$unsorted)) % 0.85/1.09 (define @t341 () (@var "Rx" $$unsorted)) % 0.85/1.09 (define @t342 () (@var "Lx" $$unsorted)) % 0.85/1.09 (define @t343 () (tptp.times_times @t3 @t342 @t341)) % 0.85/1.09 (define @t344 () (tptp.times_times @t3 @t341 @t339)) % 0.85/1.09 (define @t345 () (tptp.times_times @t3 @t342 @t340)) % 0.85/1.09 (define @t346 () (tptp.times_times @t3 @t345 @t344)) % 0.85/1.09 (define @t347 () (@list @t342 @t340 @t341 @t339)) % 0.85/1.09 (define @t348 () (tptp.times_times @t3 @t345 @t341)) % 0.85/1.09 (define @t349 () (@list @t342 @t340 @t341)) % 0.85/1.09 (define @t350 () (tptp.times_times @t3 @t342 @t344)) % 0.85/1.09 (define @t351 () (@list @t342 @t341 @t339)) % 0.85/1.09 (define @t352 () (tptp.times_times @t3 @t222 @t81)) % 0.85/1.09 (define @t353 () (tptp.times_times @t3 @t81 @t222)) % 0.85/1.09 (define @t354 () (tptp.plus_plus @t3 @t81 @t229)) % 0.85/1.09 (define @t355 () (@var "D" $$unsorted)) % 0.85/1.09 (define @t356 () (tptp.plus_plus @t3 @t229 @t355)) % 0.85/1.09 (define @t357 () (tptp.plus_plus @t3 @t81 @t356)) % 0.85/1.09 (define @t358 () (@list @t81 @t229 @t355)) % 0.85/1.09 (define @t359 () (tptp.plus_plus @t3 @t222 @t229)) % 0.85/1.09 (define @t360 () (tptp.plus_plus @t3 @t81 @t222)) % 0.85/1.09 (define @t361 () (tptp.plus_plus @t3 @t360 @t229)) % 0.85/1.09 (define @t362 () (@list @t81 @t222 @t229)) % 0.85/1.09 (define @t363 () (tptp.plus_plus @t3 @t222 @t355)) % 0.85/1.09 (define @t364 () (tptp.number_number_of tptp.nat @t143)) % 0.85/1.09 (define @t365 () (= @t364 @t149)) % 0.85/1.09 (define @t366 () (tptp.plus_plus tptp.nat @t102 @t102)) % 0.85/1.09 (define @t367 () (tptp.number_number_of tptp.nat @t153)) % 0.85/1.09 (define @t368 () (tptp.times_times tptp.nat @t209 @t208)) % 0.85/1.09 (define @t369 () (tptp.times_times tptp.nat @t209 (tptp.times_times tptp.nat @t208 @t99))) % 0.85/1.09 (define @t370 () (tptp.power_power @t3 @t81 @t300)) % 0.85/1.09 (define @t371 () (tptp.power_power @t3 @t81 @t302)) % 0.85/1.09 (define @t372 () (@list @t81 @t300)) % 0.85/1.09 (define @t373 () (= @t241 @t29)) % 0.85/1.09 (define @t374 () (forall @t83 (= (tptp.times_times @t3 @t29 @t81) @t29))) % 0.85/1.09 (define @t375 () (tptp.times_times @t3 @t81 @t29)) % 0.85/1.09 (define @t376 () (forall @t83 (= @t375 @t29))) % 0.85/1.09 (define @t377 () (=> @t304 @t376)) % 0.85/1.09 (define @t378 () (forall @t15 @t377)) % 0.85/1.09 (define @t379 () (@var "B_1" $$unsorted)) % 0.85/1.09 (define @t380 () (tptp.ti @t3 @t379)) % 0.85/1.09 (define @t381 () (tptp.semiri456707255roduct @t3)) % 0.85/1.09 (define @t382 () (tptp.times_times @t3 @t66 @t64)) % 0.85/1.09 (define @t383 () (tptp.times_times @t3 @t222 @t229)) % 0.85/1.09 (define @t384 () (tptp.times_times @t3 @t81 @t229)) % 0.85/1.09 (define @t385 () (forall @t362 (= (tptp.times_times @t3 @t360 @t229) (tptp.plus_plus @t3 @t384 @t383)))) % 0.85/1.09 (define @t386 () (tptp.times_times @t3 @t81 @t326)) % 0.85/1.09 (define @t387 () (@list @t81 @t326 @t222)) % 0.85/1.09 (define @t388 () (tptp.power_power @t3 @t66 @t293)) % 0.85/1.09 (define @t389 () (tptp.ti @t3 @t222)) % 0.85/1.09 (define @t390 () (= @t241 @t389)) % 0.85/1.09 (define @t391 () (@list @t326)) % 0.85/1.09 (define @t392 () (tptp.times_times @t3 (tptp.plus_plus @t3 @t81 @t12) @t326)) % 0.85/1.09 (define @t393 () (@list @t326 @t81)) % 0.85/1.09 (define @t394 () (and @t16 @t28 @t27 @t14)) % 0.85/1.09 (define @t395 () (tptp.ord_less tptp.int @t51 @t222)) % 0.85/1.09 (define @t396 () (@list @t222 @t81)) % 0.85/1.09 (define @t397 () (tptp.ord_less_eq tptp.int @t51 @t64)) % 0.85/1.09 (define @t398 () (tptp.number_number_of tptp.nat @t91)) % 0.85/1.09 (define @t399 () (tptp.power_power @t3 @t29 @t398)) % 0.85/1.09 (define @t400 () (= @t398 @t149)) % 0.85/1.09 (define @t401 () (and @t16 (tptp.semiring_0 @t3))) % 0.85/1.09 (define @t402 () (@var "Q_1" $$unsorted)) % 0.85/1.09 (define @t403 () (@var "B_2" $$unsorted)) % 0.85/1.09 (define @t404 () (tptp.ord_less tptp.int @t51 @t403)) % 0.85/1.09 (define @t405 () (@var "R_1" $$unsorted)) % 0.85/1.09 (define @t406 () (tptp.ord_less tptp.int @t405 @t403)) % 0.85/1.09 (define @t407 () (tptp.plus_plus tptp.int (tptp.times_times tptp.int @t403 @t402) @t405)) % 0.85/1.09 (define @t408 () (tptp.ord_less_eq tptp.int @t51 @t407)) % 0.85/1.09 (define @t409 () (@list @t403 @t402 @t405)) % 0.85/1.09 (define @t410 () (tptp.ord_less_eq tptp.int @t51 @t405)) % 0.85/1.09 (define @t411 () (tptp.ord_less tptp.int @t407 @t51)) % 0.85/1.09 (define @t412 () (tptp.ord_less_eq tptp.int @t402 @t293)) % 0.85/1.09 (define @t413 () (tptp.ord_less tptp.int @t294 @t222)) % 0.85/1.09 (define @t414 () (tptp.plus_plus tptp.int (tptp.times_times tptp.int @t222 @t293) @t294)) % 0.85/1.09 (define @t415 () (tptp.ord_less_eq tptp.int (tptp.plus_plus tptp.int (tptp.times_times tptp.int @t222 @t402) @t405) @t414)) % 0.85/1.09 (define @t416 () (@list @t222 @t402 @t405 @t293 @t294)) % 0.85/1.09 (define @t417 () (tptp.ord_less_eq tptp.int @t293 @t402)) % 0.85/1.09 (define @t418 () (tptp.ord_less_eq tptp.int @t403 @t222)) % 0.85/1.09 (define @t419 () (= @t414 @t407)) % 0.85/1.09 (define @t420 () (@list @t222 @t293 @t294 @t403 @t402 @t405)) % 0.85/1.09 (define @t421 () (tptp.dvd_dvd tptp.int @t317 @t64)) % 0.85/1.09 (define @t422 () (not (tptp.zcong @t66 @t51 @t317))) % 0.85/1.09 (define @t423 () (@list @t64 @t66 @t317)) % 0.85/1.09 (define @t424 () (@var "P_1" $$unsorted)) % 0.85/1.09 (define @t425 () (@var "M_1" $$unsorted)) % 0.85/1.09 (define @t426 () (tptp.ti tptp.int @t425)) % 0.85/1.09 (define @t427 () (tptp.ti tptp.int @t317)) % 0.85/1.09 (define @t428 () (@var "S1" $$unsorted)) % 0.85/1.09 (define @t429 () (= (tptp.legendre @t311 @t57) @t52)) % 0.85/1.09 (define @t430 () (tptp.ord_less tptp.int tptp.min @t111)) % 0.85/1.09 (define @t431 () (tptp.ord_less_eq tptp.int @t111 tptp.min)) % 0.85/1.09 (define @t432 () (@list @t246 @t244)) % 0.85/1.09 (define @t433 () (tptp.times_times tptp.int @t326 @t300)) % 0.85/1.09 (define @t434 () (@list @t326 @t300)) % 0.85/1.09 (define @t435 () (tptp.zcong @t84 @t379 @t246)) % 0.85/1.09 (define @t436 () (@list @t84 @t379 @t246)) % 0.85/1.09 (define @t437 () (tptp.zcong @t81 @t222 @t326)) % 0.85/1.09 (define @t438 () (@list @t229 @t81 @t222 @t326)) % 0.85/1.09 (define @t439 () (not @t236)) % 0.85/1.09 (define @t440 () (@list @t222 @t81 @t229)) % 0.85/1.09 (define @t441 () (tptp.ti tptp.int @t379)) % 0.85/1.09 (define @t442 () (@list @t84 @t379)) % 0.85/1.09 (define @t443 () (tptp.times_times tptp.int @t222 @t326)) % 0.85/1.09 (define @t444 () (tptp.times_times tptp.int @t81 @t326)) % 0.85/1.09 (define @t445 () (@list @t99 @t81 @t222 @t326)) % 0.85/1.09 (define @t446 () (tptp.zcong @t229 @t355 @t326)) % 0.85/1.09 (define @t447 () (@list @t229 @t355 @t81 @t222 @t326)) % 0.85/1.09 (define @t448 () (tptp.plus_plus tptp.int @t81 @t229)) % 0.85/1.09 (define @t449 () (@list @t300)) % 0.85/1.09 (define @t450 () (tptp.ord_less tptp.int @t81 @t326)) % 0.85/1.09 (define @t451 () (@list @t222 @t326 @t81)) % 0.85/1.09 (define @t452 () (@var "K_2" $$unsorted)) % 0.85/1.09 (define @t453 () (tptp.number_number_of tptp.real @t54)) % 0.85/1.09 (define @t454 () (tptp.times_times tptp.real @t453 @t66)) % 0.85/1.09 (define @t455 () (tptp.power_power tptp.real @t66 @t61)) % 0.85/1.09 (define @t456 () (tptp.ord_less_eq tptp.int @t51 @t81)) % 0.85/1.09 (define @t457 () (tptp.ti tptp.int @t222)) % 0.85/1.09 (define @t458 () (=> @t319 (=> (tptp.dvd_dvd tptp.int @t317 @t433) (or (tptp.dvd_dvd tptp.int @t317 @t326) (tptp.dvd_dvd tptp.int @t317 @t300))))) % 0.85/1.09 (define @t459 () (tptp.quadRes @t57 @t311)) % 0.85/1.09 (define @t460 () (tptp.minus_minus tptp.int @t62 @t311)) % 0.85/1.09 (define @t461 () (tptp.power_power tptp.int @t311 @t99)) % 0.85/1.09 (define @t462 () (tptp.power_power tptp.int @t311 @t124)) % 0.85/1.09 (define @t463 () (tptp.ord_less tptp.int @t287 @t326)) % 0.85/1.09 (define @t464 () (tptp.zero_zero tptp.real)) % 0.85/1.09 (define @t465 () (= @t74 @t464)) % 0.85/1.09 (define @t466 () (tptp.times_times tptp.real @t74 @t74)) % 0.85/1.09 (define @t467 () (tptp.minus_minus tptp.int @t121 @t120)) % 0.85/1.09 (define @t468 () (tptp.minus_minus tptp.int @t99 @t178)) % 0.85/1.09 (define @t469 () (tptp.bit0 @t468)) % 0.85/1.09 (define @t470 () (tptp.ti tptp.int @t229)) % 0.85/1.09 (define @t471 () (tptp.minus_minus tptp.int @t81 @t222)) % 0.85/1.09 (define @t472 () (and @t226 (tptp.ring @t220))) % 0.85/1.09 (define @t473 () (tptp.minus_minus tptp.int @t81 @t52)) % 0.85/1.09 (define @t474 () (tptp.ord_less tptp.int @t51 @t66)) % 0.85/1.09 (define @t475 () (tptp.minus_minus tptp.int tptp.min @t178)) % 0.85/1.09 (define @t476 () (tptp.bit1 @t475)) % 0.85/1.09 (define @t477 () (tptp.minus_minus tptp.int @t424 @t52)) % 0.85/1.09 (define @t478 () (tptp.minus_minus tptp.int @t317 @t52)) % 0.85/1.09 (define @t479 () (tptp.zcong (tptp.times_times tptp.int @t81 @t81) @t52 @t317)) % 0.85/1.09 (define @t480 () (@list @t81 @t317)) % 0.85/1.09 (define @t481 () (@list @t336 @t335 @t84 @t379 @t246)) % 0.85/1.09 (define @t482 () (tptp.zcong @t66 @t64 @t326)) % 0.85/1.09 (define @t483 () (tptp.ord_less tptp.int @t66 @t326)) % 0.85/1.09 (define @t484 () (tptp.zcong @t66 @t51 @t326)) % 0.85/1.09 (define @t485 () (@list @t326 @t66)) % 0.85/1.09 (define @t486 () (tptp.dvd_dvd tptp.int @t317 (tptp.power_power tptp.int @t64 @t300))) % 0.85/1.09 (define @t487 () (tptp.ord_less tptp.nat @t149 @t300)) % 0.85/1.09 (define @t488 () (tptp.power_power tptp.int @t311 @t300)) % 0.85/1.09 (define @t489 () (tptp.zcong @t323 @t51 @t317)) % 0.85/1.09 (define @t490 () (tptp.zcong @t222 @t51 @t317)) % 0.85/1.09 (define @t491 () (tptp.zcong @t81 @t51 @t317)) % 0.85/1.09 (define @t492 () (not @t491)) % 0.85/1.09 (define @t493 () (@list @t222 @t81 @t317)) % 0.85/1.09 (define @t494 () (tptp.plus_plus tptp.int (tptp.times_times tptp.int @t56 @t326) @t52)) % 0.85/1.09 (define @t495 () (tptp.legendre @t81 @t317)) % 0.85/1.09 (define @t496 () (tptp.quadRes @t317 @t81)) % 0.85/1.09 (define @t497 () (tptp.minus_minus tptp.nat @t326 @t177)) % 0.85/1.09 (define @t498 () (tptp.times_times tptp.nat @t326 @t300)) % 0.85/1.09 (define @t499 () (= @t326 @t149)) % 0.85/1.09 (define @t500 () (not @t499)) % 0.85/1.09 (define @t501 () (tptp.power_power tptp.nat @t317 @t326)) % 0.85/1.09 (define @t502 () (and @t465 (= @t71 @t464))) % 0.85/1.09 (define @t503 () (tptp.one_one tptp.real)) % 0.85/1.09 (define @t504 () (tptp.ord_less_eq tptp.real @t74 @t71)) % 0.85/1.09 (define @t505 () (= @t74 @t71)) % 0.85/1.09 (define @t506 () (tptp.ord_less tptp.real @t74 @t71)) % 0.85/1.09 (define @t507 () (@list @t102 @t66 @t64)) % 0.85/1.09 (define @t508 () (= @t84 @t379)) % 0.85/1.09 (define @t509 () (not (= @t336 @t464))) % 0.85/1.09 (define @t510 () (@list @t84 @t379 @t336)) % 0.85/1.09 (define @t511 () (not @t313)) % 0.85/1.09 (define @t512 () (tptp.times_times tptp.real @t71 @t145)) % 0.85/1.09 (define @t513 () (tptp.times_times tptp.real @t74 @t145)) % 0.85/1.09 (define @t514 () (tptp.ord_less tptp.real @t464 @t145)) % 0.85/1.09 (define @t515 () (@list @t74 @t71 @t145)) % 0.85/1.09 (define @t516 () (tptp.minus_minus tptp.nat @t300 @t177)) % 0.85/1.09 (define @t517 () (tptp.power_power @t3 @t326 @t300)) % 0.85/1.09 (define @t518 () (= @t300 @t149)) % 0.85/1.09 (define @t519 () (not @t518)) % 0.85/1.09 (define @t520 () (tptp.power_power @t3 @t222 @t300)) % 0.85/1.09 (define @t521 () (tptp.ord_less @t3 @t370 @t520)) % 0.85/1.09 (define @t522 () (tptp.ord_less_eq @t3 @t29 @t81)) % 0.85/1.09 (define @t523 () (tptp.ord_less @t3 @t81 @t222)) % 0.85/1.09 (define @t524 () (@list @t300 @t81 @t222)) % 0.85/1.09 (define @t525 () (tptp.ord_less_eq tptp.real @t91 @t102)) % 0.85/1.09 (define @t526 () (tptp.ord_less_eq tptp.real @t102 @t91)) % 0.85/1.09 (define @t527 () (not @t373)) % 0.85/1.09 (define @t528 () (@list @t300 @t81)) % 0.85/1.09 (define @t529 () (tptp.times_times @t3 @t81 @t370)) % 0.85/1.09 (define @t530 () (tptp.dvd_dvd @t3 @t66 @t64)) % 0.85/1.09 (define @t531 () (@list @t300 @t66 @t64)) % 0.85/1.09 (define @t532 () (tptp.power_power @t3 @t81 @t326)) % 0.85/1.09 (define @t533 () (@list @t81 @t326 @t300)) % 0.85/1.09 (define @t534 () (tptp.ord_less @t3 @t29 @t81)) % 0.85/1.09 (define @t535 () (tptp.ord_less_eq @t3 @t12 @t81)) % 0.85/1.09 (define @t536 () (tptp.power_power @t3 @t84 @t244)) % 0.85/1.09 (define @t537 () (tptp.ord_less_eq tptp.nat @t326 @t300)) % 0.85/1.09 (define @t538 () (tptp.ord_less tptp.nat @t326 @t300)) % 0.85/1.09 (define @t539 () (tptp.power_power tptp.nat @t123 @t300)) % 0.85/1.09 (define @t540 () (tptp.power_power tptp.nat @t123 @t326)) % 0.85/1.09 (define @t541 () (tptp.ord_less_eq @t3 @t29 @t222)) % 0.85/1.09 (define @t542 () (@list @t81 @t300 @t222)) % 0.85/1.09 (define @t543 () (tptp.ord_less @t3 @t12 @t81)) % 0.85/1.09 (define @t544 () (tptp.power_power @t3 @t29 @t300)) % 0.85/1.09 (define @t545 () (@var "N_2" $$unsorted)) % 0.85/1.09 (define @t546 () (tptp.power_power @t3 @t81 @t545)) % 0.85/1.09 (define @t547 () (tptp.ord_less tptp.nat @t300 @t545)) % 0.85/1.09 (define @t548 () (@list @t81 @t300 @t545)) % 0.85/1.09 (define @t549 () (@list @t326 @t300 @t81)) % 0.85/1.09 (define @t550 () (tptp.power_power @t3 @t379 @t71)) % 0.85/1.09 (define @t551 () (tptp.power_power @t3 @t379 @t74)) % 0.85/1.09 (define @t552 () (tptp.ord_less @t3 @t12 @t379)) % 0.85/1.09 (define @t553 () (@list @t74 @t71 @t379)) % 0.85/1.09 (define @t554 () (tptp.ord_less_eq tptp.nat @t300 @t545)) % 0.85/1.09 (define @t555 () (tptp.ord_less @t3 @t81 @t12)) % 0.85/1.09 (define @t556 () (@var "U" $$unsorted)) % 0.85/1.09 (define @t557 () (tptp.dvd_dvd tptp.nat @t81 @t222)) % 0.85/1.09 (define @t558 () (tptp.power_power tptp.nat @t66 @t300)) % 0.85/1.09 (define @t559 () (tptp.dvd_dvd tptp.nat @t66 @t64)) % 0.85/1.09 (define @t560 () (@list @t229 @t81 @t222)) % 0.85/1.09 (define @t561 () (tptp.dvd_dvd @t3 @t81 @t229)) % 0.85/1.09 (define @t562 () (tptp.dvd_dvd @t3 @t222 @t229)) % 0.85/1.09 (define @t563 () (tptp.dvd_dvd @t3 @t81 @t222)) % 0.85/1.09 (define @t564 () (tptp.times_times @t3 @t84 @t379)) % 0.85/1.09 (define @t565 () (= @t353 @t29)) % 0.85/1.09 (define @t566 () (= @t389 @t29)) % 0.85/1.09 (define @t567 () (@var "E" $$unsorted)) % 0.85/1.09 (define @t568 () (tptp.dvd_dvd @t3 @t353 @t229)) % 0.85/1.09 (define @t569 () (tptp.dvd_dvd @t3 @t81 @t383)) % 0.85/1.09 (define @t570 () (tptp.ord_less_eq @t3 @t379 @t29)) % 0.85/1.09 (define @t571 () (tptp.ord_less_eq @t3 @t84 @t29)) % 0.85/1.09 (define @t572 () (tptp.ord_less_eq @t3 @t29 @t379)) % 0.85/1.09 (define @t573 () (tptp.ord_less_eq @t3 @t29 @t84)) % 0.85/1.09 (define @t574 () (tptp.ord_less_eq @t3 @t29 @t353)) % 0.85/1.09 (define @t575 () (tptp.ordere453448008miring @t3)) % 0.85/1.09 (define @t576 () (tptp.ord_less_eq @t3 @t353 @t29)) % 0.85/1.09 (define @t577 () (tptp.ord_less_eq @t3 @t222 @t29)) % 0.85/1.09 (define @t578 () (tptp.ord_less_eq @t3 @t81 @t29)) % 0.85/1.09 (define @t579 () (tptp.comm_semiring_1 tptp.int)) % 0.85/1.09 (define @t580 () (@var "A" $$unsorted)) % 0.85/1.09 (define @t581 () (@var "T" $$unsorted)) % 0.85/1.09 (define @t582 () (tptp.ti @t581 @t580)) % 0.85/1.09 (define @t583 () (tptp.ord_less tptp.int @t63 @t51)) % 0.85/1.09 (define @t584 () (tptp.ord_less_eq tptp.int (tptp.plus_plus tptp.int @t63 @t52) @t51)) % 0.85/1.09 (define @t585 () (= @t584 @t583)) % 0.85/1.09 (define @t586 () (= @t583 @t584)) % 0.85/1.09 (define @t587 () (not @t584)) % 0.85/1.09 (define @t588 () (@var "BOUND_VARIABLE_12923" $$unsorted)) % 0.85/1.09 (define @t589 () (= @t29 (tptp.times_times @t3 @t588 @t29))) % 0.85/1.09 (define @t590 () (not @t304)) % 0.85/1.09 (define @t591 () (or @t590 @t589)) % 0.85/1.09 (define @t592 () (@list @t588)) % 0.85/1.09 (define @t593 () (forall @t592 @t591)) % 0.85/1.09 (define @t594 () (forall @t592 @t589)) % 0.85/1.09 (define @t595 () (or @t590 @t594)) % 0.85/1.09 (define @t596 () (forall @t83 (= @t29 @t375))) % 0.85/1.09 (define @t597 () (= @t51 @t58)) % 0.85/1.09 (define @t598 () (not @t579)) % 0.85/1.09 (define @t599 () (or @t598 @t597)) % 0.85/1.09 (define @t600 () (@list false false)) % 0.85/1.09 (define @t601 () (tptp.plus_plus tptp.int @t59 @t52)) % 0.85/1.09 (define @t602 () (tptp.ord_less_eq tptp.int @t601 @t58)) % 0.85/1.09 (define @t603 () (not @t60)) % 0.85/1.09 (define @t604 () (or @t603 @t602)) % 0.85/1.09 (assume @p1 (forall @t7 (=> @t6 (= (tptp.minus_minus @t3 @t5 @t1) @t4)))) % 0.85/1.09 (assume @p2 (forall @t7 (=> @t6 (= (tptp.minus_minus @t3 @t2 @t8) @t4)))) % 0.85/1.09 (assume @p3 (forall @t7 (=> @t6 (= (tptp.ti @t3 @t4) @t4)))) % 0.85/1.09 (assume @p4 (forall @t10 (= (tptp.minus_minus tptp.nat (tptp.ti tptp.nat @t2) @t1) @t9))) % 0.85/1.09 (assume @p5 (forall @t10 (= (tptp.minus_minus tptp.nat @t2 @t11) @t9))) % 0.85/1.09 (assume @p6 (forall @t10 (= (tptp.ti tptp.nat @t9) @t9))) % 0.85/1.09 (assume @p7 (forall @t15 (=> @t14 @t13))) % 0.85/1.09 (assume @p8 (forall @t15 (=> @t16 @t13))) % 0.85/1.09 (assume @p9 (forall @t7 (=> @t19 @t18))) % 0.85/1.09 (assume @p10 (forall @t7 (=> @t19 @t20))) % 0.85/1.09 (assume @p11 (forall @t7 (=> @t19 @t21))) % 0.85/1.09 (assume @p12 (forall @t7 (=> @t6 @t18))) % 0.85/1.09 (assume @p13 (forall @t7 (=> @t6 @t20))) % 0.85/1.09 (assume @p14 (forall @t7 (=> @t6 @t21))) % 0.85/1.09 (assume @p15 (forall @t7 (=> @t24 @t23))) % 0.85/1.09 (assume @p16 (forall @t7 (=> @t24 @t25))) % 0.85/1.09 (assume @p17 (forall @t7 (=> @t24 @t26))) % 0.85/1.09 (assume @p18 (forall @t7 (=> @t19 @t23))) % 0.85/1.09 (assume @p19 (forall @t7 (=> @t19 @t25))) % 0.85/1.09 (assume @p20 (forall @t7 (=> @t19 @t26))) % 0.85/1.09 (assume @p21 (forall @t7 (=> @t27 @t23))) % 0.85/1.09 (assume @p22 (forall @t7 (=> @t27 @t25))) % 0.85/1.09 (assume @p23 (forall @t7 (=> @t27 @t26))) % 0.85/1.09 (assume @p24 (forall @t7 (=> @t28 @t23))) % 0.85/1.09 (assume @p25 (forall @t7 (=> @t28 @t25))) % 0.85/1.09 (assume @p26 (forall @t7 (=> @t28 @t26))) % 0.85/1.09 (assume @p27 (forall @t7 (=> @t16 @t23))) % 0.85/1.09 (assume @p28 (forall @t7 (=> @t16 @t25))) % 0.85/1.09 (assume @p29 (forall @t7 (=> @t16 @t26))) % 0.85/1.09 (assume @p30 (forall @t15 (=> @t14 @t30))) % 0.85/1.09 (assume @p31 (forall @t15 (=> @t27 @t30))) % 0.85/1.09 (assume @p32 (forall @t15 (=> @t28 @t30))) % 0.85/1.09 (assume @p33 (forall @t15 (=> @t31 @t30))) % 0.85/1.09 (assume @p34 (forall @t15 (= (tptp.ti @t3 @t32) @t32))) % 0.85/1.09 (assume @p35 (forall @t36 (= (tptp.zcong @t35 @t1 @t33) @t34))) % 0.85/1.09 (assume @p36 (forall @t36 (= (tptp.zcong @t2 @t37 @t33) @t34))) % 0.85/1.09 (assume @p37 (forall @t36 (= (tptp.zcong @t2 @t1 (tptp.ti tptp.int @t33)) @t34))) % 0.85/1.09 (assume @p38 (forall @t38 (= (tptp.zprime @t35) (tptp.zprime @t2)))) % 0.85/1.09 (assume @p39 (forall @t38 (= (tptp.bit0 @t35) @t39))) % 0.85/1.09 (assume @p40 (forall @t38 (= (tptp.ti tptp.int @t39) @t39))) % 0.85/1.09 (assume @p41 (forall @t38 (= (tptp.bit1 @t35) @t40))) % 0.85/1.09 (assume @p42 (forall @t38 (= (tptp.ti tptp.int @t40) @t40))) % 0.85/1.09 (assume @p43 (= (tptp.ti tptp.int tptp.min) tptp.min)) % 0.85/1.09 (assume @p44 (= (tptp.ti tptp.int tptp.pls) tptp.pls)) % 0.85/1.09 (assume @p45 (forall @t43 (=> @t42 (= (tptp.number_number_of @t3 @t35) @t41)))) % 0.85/1.09 (assume @p46 (forall @t43 (=> @t42 (= (tptp.ti @t3 @t41) @t41)))) % 0.85/1.09 (assume @p47 (forall @t7 (=> @t45 (= (tptp.ord_less @t3 @t5 @t1) @t44)))) % 0.85/1.09 (assume @p48 (forall @t7 (=> @t45 (= (tptp.ord_less @t3 @t2 @t8) @t44)))) % 0.85/1.09 (assume @p49 (forall @t7 (=> @t45 (= (tptp.ord_less_eq @t3 @t5 @t1) @t46)))) % 0.85/1.09 (assume @p50 (forall @t7 (=> @t45 (= (tptp.ord_less_eq @t3 @t2 @t8) @t46)))) % 0.85/1.09 (assume @p51 (forall @t7 (=> @t16 (= (tptp.power_power @t3 @t5 @t1) @t47)))) % 0.85/1.09 (assume @p52 (forall @t7 (=> @t16 (= (tptp.power_power @t3 @t2 @t11) @t47)))) % 0.85/1.09 (assume @p53 (forall @t7 (=> @t16 (= (tptp.ti @t3 @t47) @t47)))) % 0.85/1.09 (assume @p54 (forall @t10 (= (tptp.legendre @t35 @t1) @t48))) % 0.85/1.09 (assume @p55 (forall @t10 (= (tptp.legendre @t2 @t37) @t48))) % 0.85/1.09 (assume @p56 (forall @t10 (= (tptp.ti tptp.int @t48) @t48))) % 0.85/1.09 (assume @p57 (forall @t10 (= (tptp.quadRes @t35 @t1) @t49))) % 0.85/1.09 (assume @p58 (forall @t10 (= (tptp.quadRes @t2 @t37) @t49))) % 0.85/1.09 (assume @p59 (forall @t7 (=> @t24 (= (tptp.dvd_dvd @t3 @t5 @t1) @t50)))) % 0.85/1.09 (assume @p60 (forall @t7 (=> @t24 (= (tptp.dvd_dvd @t3 @t2 @t8) @t50)))) % 0.85/1.09 (assume @p61 (forall @t38 (= (tptp.twoSqu420862341sum2sq @t35) (tptp.twoSqu420862341sum2sq @t2)))) % 0.85/1.09 (assume @p62 (= (tptp.ti tptp.int tptp.m) tptp.m)) % 0.85/1.09 (assume @p63 (= (tptp.ti tptp.int tptp.s1) tptp.s1)) % 0.85/1.09 (assume @p64 (= (tptp.ti tptp.int tptp.s) tptp.s)) % 0.85/1.09 (assume @p65 (= (tptp.ti tptp.int tptp.t) tptp.t)) % 0.85/1.09 (assume @p66 (tptp.ord_less tptp.int tptp.t @t51)) % 0.85/1.09 (assume @p67 (tptp.ord_less tptp.int tptp.t @t52)) % 0.85/1.09 (assume @p68 @t60) % 0.85/1.09 (assume @p69 (= @t63 @t59)) % 0.85/1.09 (assume @p70 (=> (= tptp.t @t51) (= @t63 @t51))) % 0.85/1.09 (assume @p71 (not (tptp.ord_less_eq tptp.int @t52 tptp.t))) % 0.85/1.09 (assume @p72 (tptp.ord_less tptp.int @t51 @t57)) % 0.85/1.09 (assume @p73 (forall @t15 (=> @t70 (forall @t69 (not (tptp.ord_less @t3 @t68 @t29)))))) % 0.85/1.09 (assume @p74 (forall @t15 (=> @t70 (forall @t79 (= (tptp.ord_less @t3 @t29 @t78) @t77))))) % 0.85/1.09 (assume @p75 (forall @t15 (=> @t70 (forall @t79 (= (= @t78 @t29) @t80))))) % 0.85/1.09 (assume @p76 (forall @t15 (=> @t70 (forall @t83 (not (tptp.ord_less @t3 @t82 @t29)))))) % 0.85/1.09 (assume @p77 (forall @t15 (=> @t70 (forall @t88 (= (tptp.ord_less @t3 @t29 @t87) (not @t86)))))) % 0.85/1.09 (assume @p78 (forall @t15 (=> @t89 (= (tptp.power_power @t3 @t12 @t61) @t12)))) % 0.85/1.09 (assume @p79 (forall @t15 (=> @t89 (= (tptp.power_power @t3 @t29 @t61) @t29)))) % 0.85/1.09 (assume @p80 (forall @t15 (=> @t90 (forall @t88 (= (= @t87 @t29) @t86))))) % 0.85/1.09 (assume @p81 (forall @t15 (=> @t95 (forall @t94 (= @t93 (tptp.number_number_of @t3 (tptp.plus_plus tptp.int @t53 @t91))))))) % 0.85/1.09 (assume @p82 (forall @t15 (=> @t95 (forall (@list @t96) (= (tptp.plus_plus @t3 @t97 @t12) (tptp.number_number_of @t3 (tptp.plus_plus tptp.int @t96 @t53))))))) % 0.85/1.09 (assume @p83 (tptp.ord_less tptp.int tptp.t @t57)) % 0.85/1.09 (assume @p84 (not (forall (@list @t98) (not (= @t63 (tptp.times_times tptp.int @t57 @t98)))))) % 0.85/1.09 (assume @p85 (tptp.zprime @t57)) % 0.85/1.09 (assume @p86 (tptp.twoSqu420862341sum2sq @t59)) % 0.85/1.09 (assume @p87 (forall @t94 (tptp.ord_less_eq tptp.int @t91 @t91))) % 0.85/1.09 (assume @p88 (forall @t101 (= (tptp.number_number_of tptp.int @t99) @t100))) % 0.85/1.09 (assume @p89 (forall @t103 (= (tptp.times_times tptp.int @t102 @t91) (tptp.times_times tptp.int @t91 @t102)))) % 0.85/1.09 (assume @p90 (forall @t103 (or @t105 @t104))) % 0.85/1.09 (assume @p91 (forall @t109 (= (tptp.times_times tptp.int @t108 @t107) (tptp.number_number_of tptp.int @t106)))) % 0.85/1.09 (assume @p92 (forall @t115 (= (tptp.ord_less_eq tptp.int @t114 @t113) @t112))) % 0.85/1.09 (assume @p93 (forall @t15 (=> @t118 (forall @t79 (= (tptp.ord_less_eq @t3 @t117 @t116) (tptp.ord_less_eq tptp.int @t74 @t71)))))) % 0.85/1.09 (assume @p94 (forall @t122 (= (tptp.times_times tptp.int (tptp.times_times tptp.int @t121 @t120) @t119) (tptp.times_times tptp.int @t121 (tptp.times_times tptp.int @t120 @t119))))) % 0.85/1.09 (assume @p95 (forall @t126 (=> @t125 (=> (tptp.ord_less_eq tptp.int @t124 @t99) (tptp.ord_less_eq tptp.int @t123 @t99))))) % 0.85/1.09 (assume @p96 (forall @t103 (=> @t105 (=> @t104 (= @t127 (tptp.ti tptp.int @t91)))))) % 0.85/1.09 (assume @p97 (forall @t130 (= (tptp.power_power tptp.int @t66 (tptp.plus_plus tptp.nat @t64 @t102)) (tptp.times_times tptp.int @t129 @t128)))) % 0.85/1.09 (assume @p98 (forall @t136 (= (tptp.ord_less_eq tptp.int @t135 @t134) @t133))) % 0.85/1.09 (assume @p99 (forall @t115 (= (tptp.ord_less_eq tptp.int @t138 @t137) @t112))) % 0.85/1.09 (assume @p100 (tptp.ord_less_eq tptp.int tptp.pls tptp.pls)) % 0.85/1.09 (assume @p101 (forall @t136 (= (tptp.ord_less_eq tptp.int @t140 @t139) @t133))) % 0.85/1.09 (assume @p102 (forall @t115 (= (tptp.ord_less_eq tptp.int @t142 @t141) @t112))) % 0.85/1.09 (assume @p103 (forall (@list @t145 @t143) (= (tptp.ord_less tptp.int @t145 @t143) (and (tptp.ord_less_eq tptp.int @t145 @t143) (not (= @t146 @t144)))))) % 0.85/1.09 (assume @p104 (forall @t126 (=> @t125 (tptp.ord_less_eq tptp.int (tptp.plus_plus tptp.int @t99 @t123) (tptp.plus_plus tptp.int @t99 @t124))))) % 0.85/1.09 (assume @p105 (forall @t151 (= (= @t150 @t149) @t148))) % 0.85/1.09 (assume @p106 (forall @t151 (= (= @t149 @t150) @t148))) % 0.85/1.09 (assume @p107 (forall @t15 (=> @t158 (forall @t157 (=> @t156 (=> @t155 (= (tptp.times_times @t3 @t97 @t154) (tptp.number_number_of @t3 @t153)))))))) % 0.85/1.09 (assume @p108 (forall @t15 (=> @t95 (forall @t160 (= (tptp.times_times @t3 @t97 (tptp.times_times @t3 @t92 @t102)) (tptp.times_times @t3 @t159 @t102)))))) % 0.85/1.09 (assume @p109 (forall @t15 (=> @t95 (forall @t109 (= @t161 @t159))))) % 0.85/1.09 (assume @p110 (forall @t15 (=> @t95 (forall @t109 (= @t159 @t161))))) % 0.85/1.09 (assume @p111 (forall @t15 (=> @t163 (forall @t79 (= (tptp.ord_less_eq @t3 @t162 @t29) @t80))))) % 0.85/1.09 (assume @p112 (forall @t15 (=> @t166 (forall @t69 (tptp.ord_less_eq @t3 @t29 @t165))))) % 0.85/1.09 (assume @p113 (forall @t15 (=> @t118 (forall @t167 (= (tptp.ord_less_eq @t3 @t117 @t29) (tptp.ord_less_eq tptp.int @t74 tptp.pls)))))) % 0.85/1.09 (assume @p114 (forall @t15 (=> @t118 (forall @t168 (= (tptp.ord_less_eq @t3 @t29 @t116) (tptp.ord_less_eq tptp.int tptp.pls @t71)))))) % 0.85/1.09 (assume @p115 (forall @t151 (= (tptp.ord_less tptp.nat @t149 @t150) (tptp.ord_less tptp.int tptp.pls @t147)))) % 0.85/1.09 (assume @p116 (forall @t15 (=> (and @t42 (tptp.linorder @t3)) (forall (@list @t147 @t143) (= (tptp.ord_less_eq @t3 @t169 @t170) (not (tptp.ord_less @t3 @t170 @t169))))))) % 0.85/1.09 (assume @p117 (forall @t172 (= (tptp.ord_less_eq tptp.int tptp.pls @t138) @t171))) % 0.85/1.09 (assume @p118 (forall @t136 (= (tptp.ord_less_eq tptp.int @t140 @t134) @t133))) % 0.85/1.09 (assume @p119 (forall @t115 (= (tptp.ord_less_eq tptp.int @t142 @t137) @t112))) % 0.85/1.09 (assume @p120 (forall @t172 (= (tptp.ord_less_eq tptp.int @t142 tptp.pls) (tptp.ord_less_eq tptp.int @t111 tptp.pls)))) % 0.85/1.09 (assume @p121 (forall @t172 (= (tptp.ord_less_eq tptp.int tptp.pls @t142) @t171))) % 0.85/1.09 (assume @p122 (forall (@list @t174 @t102 @t175 @t91) (=> (tptp.ord_less tptp.int @t175 @t91) (=> (tptp.ord_less_eq tptp.int @t174 @t102) (tptp.ord_less tptp.int (tptp.plus_plus tptp.int @t175 @t174) @t173))))) % 0.85/1.09 (assume @p123 (= @t176 @t149)) % 0.85/1.09 (assume @p124 (= @t149 @t176)) % 0.85/1.09 (assume @p125 (forall @t15 (=> @t118 (forall @t167 (= (tptp.ord_less_eq @t3 @t117 @t12) (tptp.ord_less_eq tptp.int @t74 @t53)))))) % 0.85/1.09 (assume @p126 (forall @t15 (=> @t118 (forall @t168 (= (tptp.ord_less_eq @t3 @t12 @t116) (tptp.ord_less_eq tptp.int @t53 @t71)))))) % 0.85/1.09 (assume @p127 (= (tptp.plus_plus tptp.nat @t177 @t177) @t61)) % 0.85/1.09 (assume @p128 (forall @t94 (= (tptp.times_times tptp.int tptp.pls @t91) tptp.pls))) % 0.85/1.09 (assume @p129 (forall @t181 (= (tptp.times_times tptp.int @t180 @t178) @t179))) % 0.85/1.09 (assume @p130 (forall @t115 (= (tptp.ord_less tptp.int @t114 @t113) @t182))) % 0.85/1.09 (assume @p131 (forall @t183 (= (tptp.times_times tptp.int @t102 @t52) @t127))) % 0.85/1.09 (assume @p132 (forall @t183 (= (tptp.times_times tptp.int @t52 @t102) @t127))) % 0.85/1.09 (assume @p133 (forall @t109 (= (tptp.plus_plus tptp.int @t108 @t107) (tptp.number_number_of tptp.int @t184)))) % 0.85/1.09 (assume @p134 (forall @t188 (= (tptp.times_times tptp.int @t187 @t91) (tptp.plus_plus tptp.int @t186 @t185)))) % 0.85/1.09 (assume @p135 (forall @t191 (= (tptp.times_times tptp.int @t91 @t187) (tptp.plus_plus tptp.int @t190 @t189)))) % 0.85/1.09 (assume @p136 (forall @t172 (= (tptp.ord_less_eq tptp.int @t138 tptp.pls) @t192))) % 0.85/1.09 (assume @p137 (forall @t172 (= (tptp.ord_less tptp.int tptp.pls @t138) @t171))) % 0.85/1.09 (assume @p138 (forall @t136 (= (tptp.ord_less_eq tptp.int @t135 @t139) @t193))) % 0.85/1.09 (assume @p139 (forall @t115 (= (tptp.ord_less_eq tptp.int @t138 @t141) @t182))) % 0.85/1.09 (assume @p140 (forall @t136 (= (tptp.ord_less tptp.int @t140 @t134) @t133))) % 0.85/1.09 (assume @p141 (forall @t115 (= (tptp.ord_less tptp.int @t142 @t137) @t112))) % 0.85/1.09 (assume @p142 (forall @t197 (= (tptp.ord_less tptp.nat @t150 @t196) (and (=> @t195 (tptp.ord_less tptp.int tptp.pls @t194)) @t195)))) % 0.85/1.09 (assume @p143 (forall @t198 (= (tptp.ord_less_eq tptp.int @t52 @t145) (tptp.ord_less tptp.int @t51 @t145)))) % 0.85/1.09 (assume @p144 (= @t199 @t177)) % 0.85/1.09 (assume @p145 (= @t177 @t199)) % 0.85/1.09 (assume @p146 @t202) % 0.85/1.09 (assume @p147 @t205) % 0.85/1.09 (assume @p148 (forall @t204 (= @t206 (tptp.ord_less_eq tptp.int @t143 @t145)))) % 0.85/1.09 (assume @p149 (forall @t15 (=> @t158 (forall @t157 (=> @t156 (=> @t155 (= (tptp.plus_plus @t3 @t97 @t154) (tptp.number_number_of @t3 @t207)))))))) % 0.85/1.09 (assume @p150 (forall @t157 (and (=> @t212 (= @t210 @t208)) (=> @t213 (and (=> @t211 (= @t210 @t209)) (=> (not @t211) (= @t210 (tptp.number_number_of tptp.nat @t207)))))))) % 0.85/1.09 (assume @p151 (forall @t183 (=> (tptp.ord_less_eq tptp.int @t51 @t102) (tptp.ord_less tptp.int @t51 @t214)))) % 0.85/1.09 (assume @p152 (forall @t15 (=> (and @t95 (tptp.ring_char_0 @t3)) (forall @t79 (= (= @t117 @t116) (= (tptp.ti tptp.int @t74) (tptp.ti tptp.int @t71))))))) % 0.85/1.09 (assume @p153 (forall @t15 (=> @t42 (forall (@list @t143 @t74) (= (= @t170 @t75) (= @t75 @t170)))))) % 0.85/1.09 (assume @p154 (forall @t115 (= (= @t138 @t137) @t217))) % 0.85/1.09 (assume @p155 (forall @t115 (= (= @t142 @t141) @t217))) % 0.85/1.09 (assume @p156 (forall @t69 (or (tptp.ord_less tptp.int @t66 @t64) @t219 (tptp.ord_less tptp.int @t64 @t66)))) % 0.85/1.09 (assume @p157 (forall @t15 (=> @t163 (forall @t79 (= (= @t162 @t29) @t80))))) % 0.85/1.09 (assume @p158 (forall @t228 (=> @t227 (forall @t225 (= (tptp.times_times @t220 (tptp.plus_plus @t220 @t81 @t222) @t221) (tptp.plus_plus @t220 @t224 @t223)))))) % 0.85/1.09 (assume @p159 (forall @t228 (=> @t227 (forall @t232 (= (tptp.times_times @t220 @t221 (tptp.plus_plus @t220 @t222 @t229)) (tptp.plus_plus @t220 @t231 @t230)))))) % 0.85/1.09 (assume @p160 (forall @t122 (= (tptp.plus_plus tptp.int @t187 @t119) (tptp.plus_plus tptp.int @t121 (tptp.plus_plus tptp.int @t120 @t119))))) % 0.85/1.09 (assume @p161 (forall @t130 (= (tptp.plus_plus tptp.int @t66 (tptp.plus_plus tptp.int @t64 @t102)) (tptp.plus_plus tptp.int @t64 (tptp.plus_plus tptp.int @t66 @t102))))) % 0.85/1.09 (assume @p162 (forall @t103 (= (tptp.plus_plus tptp.int @t102 @t91) @t173))) % 0.85/1.09 (assume @p163 (= @t51 @t233)) % 0.85/1.09 (assume @p164 (forall @t126 (=> @t234 (=> (tptp.ord_less tptp.int @t51 @t99) (tptp.ord_less tptp.int (tptp.times_times tptp.int @t99 @t123) (tptp.times_times tptp.int @t99 @t124)))))) % 0.85/1.09 (assume @p165 (forall @t15 (=> @t238 (forall @t69 (=> (= @t67 @t65) (=> (tptp.ord_less_eq @t3 @t29 @t66) (=> @t237 @t236))))))) % 0.85/1.09 (assume @p166 (forall @t15 (=> @t238 (forall @t69 (=> (tptp.ord_less_eq @t3 @t67 @t65) (=> @t237 @t239)))))) % 0.85/1.09 (assume @p167 (forall @t15 (=> @t70 (forall @t83 (tptp.ord_less_eq @t3 @t29 @t82))))) % 0.85/1.09 (assume @p168 (forall @t15 (=> @t238 (forall @t69 (=> (tptp.ord_less @t3 @t67 @t65) (=> @t237 @t240)))))) % 0.85/1.09 (assume @p169 (forall @t15 (=> @t70 (forall @t79 (= (tptp.ord_less_eq @t3 @t78 @t29) @t80))))) % 0.85/1.09 (assume @p170 (forall @t15 (=> @t70 (forall @t69 (tptp.ord_less_eq @t3 @t29 @t68))))) % 0.85/1.09 (assume @p171 (forall @t15 (=> @t163 (forall @t79 (= (tptp.ord_less @t3 @t29 @t162) @t77))))) % 0.85/1.09 (assume @p172 (forall @t15 (=> @t166 (forall @t69 (not (tptp.ord_less @t3 @t165 @t29)))))) % 0.85/1.09 (assume @p173 (forall @t15 (=> @t95 (forall @t83 (= (tptp.times_times @t3 @t242 @t81) @t241))))) % 0.85/1.09 (assume @p174 (forall @t15 (=> @t95 (forall @t83 (= (tptp.times_times @t3 @t81 @t242) @t241))))) % 0.85/1.09 (assume @p175 (= @t52 (tptp.number_number_of tptp.int @t53))) % 0.85/1.09 (assume @p176 (forall @t181 (= (tptp.times_times tptp.int @t243 @t178) (tptp.plus_plus tptp.int @t179 @t178)))) % 0.85/1.09 (assume @p177 (forall @t250 (=> (tptp.ord_less tptp.int @t51 @t246) (= @t249 @t248)))) % 0.85/1.09 (assume @p178 (forall @t15 (=> @t31 (forall @t88 (= (= @t251 @t29) @t86))))) % 0.85/1.09 (assume @p179 (forall @t101 (not (= @t243 tptp.pls)))) % 0.85/1.09 (assume @p180 (forall @t253 (not (= tptp.pls @t252)))) % 0.85/1.09 (assume @p181 (forall @t181 (not (= @t243 @t254)))) % 0.85/1.09 (assume @p182 (forall @t181 (not (= @t180 @t252)))) % 0.85/1.09 (assume @p183 (forall @t172 (= (= @t142 tptp.pls) (= @t216 tptp.pls)))) % 0.85/1.09 (assume @p184 (forall @t255 (= (= tptp.pls @t141) (= tptp.pls @t215)))) % 0.85/1.09 (assume @p185 (= (tptp.bit0 tptp.pls) tptp.pls)) % 0.85/1.09 (assume @p186 (= tptp.pls @t51)) % 0.85/1.09 (assume @p187 (forall @t136 (= (tptp.ord_less tptp.int @t135 @t134) @t193))) % 0.85/1.09 (assume @p188 (forall @t115 (= (tptp.ord_less tptp.int @t138 @t137) @t182))) % 0.85/1.09 (assume @p189 (not (tptp.ord_less tptp.int tptp.pls tptp.pls))) % 0.85/1.09 (assume @p190 (forall @t136 (= (tptp.ord_less tptp.int @t140 @t139) @t193))) % 0.85/1.09 (assume @p191 (forall @t115 (= (tptp.ord_less tptp.int @t142 @t141) @t182))) % 0.85/1.09 (assume @p192 (not (= @t51 @t52))) % 0.85/1.09 (assume @p193 (forall @t101 (= (tptp.plus_plus tptp.int @t99 tptp.pls) @t100))) % 0.85/1.09 (assume @p194 (forall @t101 (= (tptp.plus_plus tptp.int tptp.pls @t99) @t100))) % 0.85/1.09 (assume @p195 (forall @t181 (= (tptp.plus_plus tptp.int @t180 @t254) (tptp.bit0 @t256)))) % 0.85/1.09 (assume @p196 (forall @t101 (= @t180 (tptp.plus_plus tptp.int @t99 @t99)))) % 0.85/1.09 (assume @p197 (forall @t183 (= (tptp.plus_plus tptp.int @t102 @t51) @t127))) % 0.85/1.09 (assume @p198 (forall @t183 (= (tptp.plus_plus tptp.int @t51 @t102) @t127))) % 0.85/1.09 (assume @p199 (forall @t126 (=> @t234 (tptp.ord_less tptp.int (tptp.plus_plus tptp.int @t123 @t99) (tptp.plus_plus tptp.int @t124 @t99))))) % 0.85/1.09 (assume @p200 (forall @t15 (=> @t95 (forall @t94 (= (tptp.times_times @t3 @t258 @t92) @t257))))) % 0.85/1.09 (assume @p201 (forall @t15 (=> @t262 (forall @t83 (= (tptp.power_power @t3 @t81 @t261) (tptp.times_times @t3 @t259 @t81)))))) % 0.85/1.09 (assume @p202 (forall @t15 (=> @t158 @t265))) % 0.85/1.09 (assume @p203 (forall @t15 (=> @t95 @t265))) % 0.85/1.09 (assume @p204 (forall @t15 (=> @t158 @t266))) % 0.85/1.09 (assume @p205 (forall @t15 (=> @t95 @t266))) % 0.85/1.09 (assume @p206 (forall @t15 (=> @t262 (forall @t83 (= @t82 @t259))))) % 0.85/1.09 (assume @p207 (forall @t15 (=> @t70 (forall @t88 (= (tptp.ord_less @t3 @t251 @t29) (tptp.ord_less @t3 @t84 @t29)))))) % 0.85/1.09 (assume @p208 (forall @t15 (=> @t158 @t268))) % 0.85/1.09 (assume @p209 (forall @t15 (=> @t95 @t268))) % 0.85/1.09 (assume @p210 (forall @t15 (=> @t95 (= @t29 @t267)))) % 0.85/1.09 (assume @p211 (forall @t15 (=> @t95 (forall @t83 (= (tptp.plus_plus @t3 @t267 @t81) @t241))))) % 0.85/1.09 (assume @p212 (forall @t15 (=> @t95 (forall @t83 (= (tptp.plus_plus @t3 @t81 @t267) @t241))))) % 0.85/1.09 (assume @p213 (forall @t15 (=> @t118 (forall @t79 (= (tptp.ord_less @t3 @t117 @t116) (tptp.ord_less tptp.int @t74 @t71)))))) % 0.85/1.09 (assume @p214 (forall @t15 (=> @t95 (forall @t160 (= (tptp.plus_plus @t3 @t97 (tptp.plus_plus @t3 @t92 @t102)) (tptp.plus_plus @t3 @t269 @t102)))))) % 0.85/1.09 (assume @p215 (forall @t15 (=> @t95 (forall @t109 (= @t270 @t269))))) % 0.85/1.09 (assume @p216 (forall @t15 (=> @t95 (forall @t109 (= @t269 @t270))))) % 0.85/1.09 (assume @p217 (forall @t172 (= (tptp.ord_less tptp.int @t138 tptp.pls) @t192))) % 0.85/1.09 (assume @p218 (forall @t136 (= (tptp.ord_less tptp.int @t135 @t139) @t193))) % 0.85/1.09 (assume @p219 (forall @t115 (= (tptp.ord_less tptp.int @t138 @t141) @t182))) % 0.85/1.09 (assume @p220 (forall @t272 (= (tptp.ord_less tptp.int (tptp.bit1 @t143) @t51) @t271))) % 0.85/1.09 (assume @p221 (forall @t172 (= (tptp.ord_less tptp.int @t142 tptp.pls) @t192))) % 0.85/1.09 (assume @p222 (forall @t172 (= (tptp.ord_less tptp.int tptp.pls @t142) (tptp.ord_less tptp.int tptp.pls @t111)))) % 0.85/1.09 (assume @p223 (not (tptp.ord_less tptp.int tptp.pls @t51))) % 0.85/1.09 (assume @p224 (forall @t272 (= (tptp.ord_less tptp.int (tptp.bit0 @t143) @t51) @t271))) % 0.85/1.09 (assume @p225 (forall @t181 (= (tptp.plus_plus tptp.int @t243 @t254) @t273))) % 0.85/1.09 (assume @p226 (forall @t181 (= (tptp.plus_plus tptp.int @t180 @t252) @t273))) % 0.85/1.09 (assume @p227 (tptp.ord_less tptp.int @t51 @t52)) % 0.85/1.09 (assume @p228 (forall @t101 (= @t243 (tptp.plus_plus tptp.int (tptp.plus_plus tptp.int @t52 @t99) @t99)))) % 0.85/1.09 (assume @p229 (forall @t183 (not (= (tptp.plus_plus tptp.int @t214 @t102) @t51)))) % 0.85/1.09 (assume @p230 (forall @t204 (= @t206 (or @t203 (= @t144 @t146))))) % 0.85/1.09 (assume @p231 (forall @t228 (=> (and (tptp.monoid_mult @t220) @t226) (forall @t94 (= (tptp.power_power @t220 @t274 @t61) (tptp.times_times @t220 @t274 @t274)))))) % 0.85/1.09 (assume @p232 (forall @t15 (=> @t158 (forall @t69 (= (tptp.power_power @t3 (tptp.plus_plus @t3 @t66 @t64) @t61) (tptp.plus_plus @t3 @t68 @t275)))))) % 0.85/1.09 (assume @p233 (forall @t15 (=> @t95 (forall @t94 (= @t257 (tptp.plus_plus @t3 (tptp.plus_plus @t3 @t29 @t92) @t92)))))) % 0.85/1.09 (assume @p234 (forall @t15 (=> @t95 (forall @t94 (= (tptp.number_number_of @t3 (tptp.bit1 @t91)) (tptp.plus_plus @t3 @t93 @t92)))))) % 0.85/1.09 (assume @p235 (forall @t15 (=> @t158 @t276))) % 0.85/1.09 (assume @p236 (forall @t15 (=> @t95 @t276))) % 0.85/1.09 (assume @p237 (forall @t15 (=> @t95 (= @t12 @t242)))) % 0.85/1.09 (assume @p238 (forall @t198 (= (tptp.ord_less tptp.int (tptp.plus_plus tptp.int (tptp.plus_plus tptp.int @t52 @t145) @t145) @t51) (tptp.ord_less tptp.int @t145 @t51)))) % 0.85/1.09 (assume @p239 (forall @t15 (=> @t118 (forall @t167 (= (tptp.ord_less @t3 @t117 @t29) (tptp.ord_less tptp.int @t74 tptp.pls)))))) % 0.85/1.09 (assume @p240 (forall @t15 (=> @t118 (forall @t168 (= (tptp.ord_less @t3 @t29 @t116) (tptp.ord_less tptp.int tptp.pls @t71)))))) % 0.85/1.09 (assume @p241 (forall @t15 (=> @t158 @t277))) % 0.85/1.09 (assume @p242 (forall @t15 (=> @t95 @t277))) % 0.85/1.09 (assume @p243 (forall @t15 (=> @t118 (forall @t167 (= (tptp.ord_less @t3 @t117 @t12) (tptp.ord_less tptp.int @t74 @t53)))))) % 0.85/1.09 (assume @p244 (forall @t15 (=> @t118 (forall @t168 (= (tptp.ord_less @t3 @t12 @t116) (tptp.ord_less tptp.int @t53 @t71)))))) % 0.85/1.09 (assume @p245 (tptp.dvd_dvd tptp.int @t57 @t63)) % 0.85/1.09 (assume @p246 (forall @t286 (= (tptp.power_power tptp.int @t285 @t261) (tptp.plus_plus tptp.int (tptp.plus_plus tptp.int (tptp.plus_plus tptp.int @t284 @t283) @t281) @t278)))) % 0.85/1.09 (assume @p247 (forall @t286 (= (tptp.power_power tptp.int @t285 @t61) (tptp.plus_plus tptp.int (tptp.plus_plus tptp.int @t282 @t288) @t279)))) % 0.85/1.09 (assume @p248 (forall @t291 (=> @t290 (=> (tptp.ord_less tptp.int @t66 @t287) (or @t289 (= @t218 @t52)))))) % 0.85/1.09 (assume @p249 (and (tptp.ord_less_eq tptp.int @t51 tptp.s) (tptp.ord_less tptp.int tptp.s @t57) (tptp.zcong tptp.s1 tptp.s @t57))) % 0.85/1.09 (assume @p250 (forall @t83 (= (tptp.times_times tptp.int @t81 @t282) @t284))) % 0.85/1.09 (assume @p251 (forall @t291 (tptp.ord_less_eq tptp.int @t66 @t292))) % 0.85/1.09 (assume @p252 (forall @t298 (=> @t297 (=> @t296 (=> (tptp.ord_less tptp.int @t294 @t81) (tptp.ord_less_eq tptp.int @t52 @t293)))))) % 0.85/1.09 (assume @p253 (forall @t298 (=> @t297 (=> @t296 (=> @t299 (tptp.ord_less_eq tptp.int @t293 @t52)))))) % 0.85/1.09 (assume @p254 (tptp.ord_less_eq tptp.int @t51 @t287)) % 0.85/1.09 (assume @p255 (forall @t15 (=> @t304 (forall @t303 (= (tptp.power_power @t3 @t66 @t302) (tptp.times_times @t3 @t301 @t301)))))) % 0.85/1.09 (assume @p256 (tptp.zcong @t62 @t305 @t57)) % 0.85/1.09 (assume @p257 (exists @t309 (and (tptp.ord_less_eq tptp.int @t51 @t306) (tptp.ord_less tptp.int @t306 @t57) (tptp.zcong tptp.s1 @t306 @t57) (forall @t308 (=> (and (tptp.ord_less_eq tptp.int @t51 @t307) (tptp.ord_less tptp.int @t307 @t57) (tptp.zcong tptp.s1 @t307 @t57)) (= (tptp.ti tptp.int @t307) (tptp.ti tptp.int @t306))))))) % 0.85/1.09 (assume @p258 (not (forall (@list @t310) (not (and (tptp.ord_less_eq tptp.int @t51 @t310) (tptp.ord_less tptp.int @t310 @t57) (tptp.zcong tptp.s1 @t310 @t57)))))) % 0.85/1.09 (assume @p259 (tptp.zcong @t305 @t311 @t57)) % 0.85/1.09 (assume @p260 (forall @t316 (= @t315 (or @t313 @t312)))) % 0.85/1.09 (assume @p261 (forall (@list @t81 @t300 @t317) (=> @t319 (=> (tptp.dvd_dvd tptp.int @t317 (tptp.power_power tptp.int @t81 @t300)) @t318)))) % 0.85/1.09 (assume @p262 (forall @t15 (=> @t304 (forall @t321 (= (tptp.power_power @t3 @t320 @t293) (tptp.power_power @t3 @t66 (tptp.times_times tptp.nat @t317 @t293))))))) % 0.85/1.09 (assume @p263 (forall (@list @t300 @t81 @t222 @t317) (=> @t319 (=> (not (tptp.dvd_dvd tptp.int @t317 @t222)) (=> @t324 (tptp.dvd_dvd tptp.int @t322 @t81)))))) % 0.85/1.09 (assume @p264 (forall (@list @t300 @t222 @t81 @t317) (=> @t319 (=> (not @t318) (=> @t324 (tptp.dvd_dvd tptp.int @t322 @t222)))))) % 0.85/1.09 (assume @p265 (forall @t130 (= (tptp.power_power tptp.int @t129 @t102) @t325))) % 0.85/1.09 (assume @p266 (forall @t329 (=> @t328 (=> (tptp.ord_less tptp.int @t326 @t300) (not @t327))))) % 0.85/1.09 (assume @p267 (forall @t329 (=> @t332 (=> (tptp.ord_less_eq tptp.int @t51 @t300) (=> @t331 (=> @t327 (= @t330 (tptp.ti tptp.int @t300)))))))) % 0.85/1.09 (assume @p268 (forall @t333 (=> (tptp.dvd_dvd tptp.int (tptp.times_times tptp.int @t99 @t326) (tptp.times_times tptp.int @t99 @t300)) (=> (not (= @t100 @t51)) @t331)))) % 0.85/1.09 (assume @p269 (forall (@list @t111 @t244 @t246) (= (tptp.dvd_dvd tptp.int @t111 (tptp.plus_plus tptp.int @t244 (tptp.times_times tptp.int @t111 @t246))) (tptp.dvd_dvd tptp.int @t111 @t244)))) % 0.85/1.09 (assume @p270 (forall (@list @t336 @t74 @t334 @t84 @t335) (=> (tptp.dvd_dvd tptp.int @t84 @t335) (= (tptp.dvd_dvd tptp.int @t84 (tptp.plus_plus tptp.int @t74 @t334)) (tptp.dvd_dvd tptp.int @t84 (tptp.plus_plus tptp.int (tptp.plus_plus tptp.int @t74 (tptp.times_times tptp.int @t336 @t335)) @t334)))))) % 0.85/1.09 (assume @p271 (tptp.zprime @t287)) % 0.85/1.09 (assume @p272 (forall (@list @t102 @t300) (=> (tptp.dvd_dvd tptp.int @t102 @t300) (=> (tptp.ord_less tptp.int @t51 @t300) (tptp.ord_less_eq tptp.int @t102 @t300))))) % 0.85/1.09 (assume @p273 (forall @t338 (=> (tptp.twoSqu420862341sum2sq @t66) (=> (tptp.twoSqu420862341sum2sq @t64) (tptp.twoSqu420862341sum2sq @t337))))) % 0.85/1.09 (assume @p274 (forall @t197 (= (tptp.ord_less_eq tptp.nat @t150 @t196) (=> (not (tptp.ord_less_eq tptp.int @t147 @t194)) @t148)))) % 0.85/1.09 (assume @p275 (forall @t15 (=> @t304 (forall @t347 (= @t346 (tptp.times_times @t3 @t343 (tptp.times_times @t3 @t340 @t339))))))) % 0.85/1.09 (assume @p276 (forall @t15 (=> @t304 (forall @t347 (= @t346 (tptp.times_times @t3 @t341 (tptp.times_times @t3 @t345 @t339))))))) % 0.85/1.09 (assume @p277 (forall @t15 (=> @t304 (forall @t347 (= @t346 (tptp.times_times @t3 @t342 (tptp.times_times @t3 @t340 @t344))))))) % 0.85/1.09 (assume @p278 (forall @t15 (=> @t304 (forall @t349 (= @t348 (tptp.times_times @t3 @t343 @t340)))))) % 0.85/1.09 (assume @p279 (forall @t15 (=> @t304 (forall @t349 (= @t348 (tptp.times_times @t3 @t342 (tptp.times_times @t3 @t340 @t341))))))) % 0.85/1.09 (assume @p280 (forall @t15 (=> @t304 (forall @t351 (= @t350 (tptp.times_times @t3 @t343 @t339)))))) % 0.85/1.09 (assume @p281 (forall @t15 (=> @t304 (forall @t351 (= @t350 (tptp.times_times @t3 @t341 (tptp.times_times @t3 @t342 @t339))))))) % 0.85/1.09 (assume @p282 (forall @t15 (=> @t304 (forall @t286 (= @t353 @t352))))) % 0.85/1.09 (assume @p283 (forall @t15 (=> @t304 (forall (@list @t81 @t229) (= @t354 (tptp.plus_plus @t3 @t229 @t81)))))) % 0.85/1.09 (assume @p284 (forall @t15 (=> @t304 (forall @t358 (= @t357 (tptp.plus_plus @t3 @t229 (tptp.plus_plus @t3 @t81 @t355))))))) % 0.85/1.09 (assume @p285 (forall @t15 (=> @t304 (forall @t358 (= @t357 (tptp.plus_plus @t3 @t354 @t355)))))) % 0.85/1.09 (assume @p286 (forall @t15 (=> @t304 (forall @t362 (= @t361 (tptp.plus_plus @t3 @t81 @t359)))))) % 0.85/1.09 (assume @p287 (forall @t15 (=> @t304 (forall @t362 (= @t361 (tptp.plus_plus @t3 @t354 @t222)))))) % 0.85/1.09 (assume @p288 (forall @t15 (=> @t304 (forall (@list @t81 @t222 @t229 @t355) (= (tptp.plus_plus @t3 @t360 @t356) (tptp.plus_plus @t3 @t354 @t363)))))) % 0.85/1.09 (assume @p289 (forall @t15 (=> @t304 (forall @t291 (= (tptp.power_power @t3 @t66 @t177) @t235))))) % 0.85/1.09 (assume @p290 (forall (@list @t74 @t143) (= (tptp.ord_less tptp.nat @t149 (tptp.power_power tptp.nat @t74 @t364)) (or @t365 @t312)))) % 0.85/1.09 (assume @p291 (forall @t183 (= (tptp.times_times tptp.nat @t102 @t61) @t366))) % 0.85/1.09 (assume @p292 (forall @t183 (= (tptp.times_times tptp.nat @t61 @t102) @t366))) % 0.85/1.09 (assume @p293 (forall @t157 (and (=> @t212 (= @t368 @t149)) (=> @t213 (= @t368 @t367))))) % 0.85/1.09 (assume @p294 (forall (@list @t152 @t99 @t96) (and (=> @t212 (= @t369 @t149)) (=> @t213 (= @t369 (tptp.times_times tptp.nat @t367 @t99)))))) % 0.85/1.09 (assume @p295 (forall @t15 (=> @t262 (forall @t372 (= @t371 (tptp.power_power @t3 @t370 @t61)))))) % 0.85/1.09 (assume @p296 (forall @t15 (=> @t70 (forall (@list @t81 @t99) (=> (tptp.ord_less_eq @t3 (tptp.power_power @t3 @t81 (tptp.times_times tptp.nat @t61 @t99)) @t29) @t373))))) % 0.85/1.09 (assume @p297 (forall @t15 (=> @t304 @t374))) % 0.85/1.09 (assume @p298 @t378) % 0.85/1.09 (assume @p299 (forall @t15 (=> @t304 (forall @t83 (= (tptp.plus_plus @t3 @t29 @t81) @t241))))) % 0.85/1.09 (assume @p300 (forall @t15 (=> @t304 (forall @t83 (= (tptp.plus_plus @t3 @t81 @t29) @t241))))) % 0.85/1.09 (assume @p301 (forall @t15 (=> @t381 (forall (@list @t379 @t84) (= (= @t380 (tptp.plus_plus @t3 @t379 @t84)) @t86))))) % 0.85/1.09 (assume @p302 (forall @t15 (=> @t304 (forall @t130 (= (tptp.times_times @t3 @t66 (tptp.plus_plus @t3 @t64 @t102)) (tptp.plus_plus @t3 @t382 (tptp.times_times @t3 @t66 @t102))))))) % 0.85/1.09 (assume @p303 (forall @t15 (=> @t381 (forall (@list @t336 @t335 @t84 @t379) (= (and (not (= @t85 @t380)) (not (= (tptp.ti @t3 @t336) (tptp.ti @t3 @t335)))) (not (= (tptp.plus_plus @t3 (tptp.times_times @t3 @t84 @t336) (tptp.times_times @t3 @t379 @t335)) (tptp.plus_plus @t3 (tptp.times_times @t3 @t84 @t335) (tptp.times_times @t3 @t379 @t336))))))))) % 0.85/1.09 (assume @p304 (forall @t15 (=> @t304 @t385))) % 0.85/1.09 (assume @p305 (forall @t15 (=> @t304 (forall @t387 (= (tptp.plus_plus @t3 @t386 (tptp.times_times @t3 @t222 @t326)) (tptp.times_times @t3 @t360 @t326)))))) % 0.85/1.09 (assume @p306 (forall @t15 (=> @t381 (forall (@list @t143 @t71 @t74 @t145) (= (= (tptp.plus_plus @t3 (tptp.times_times @t3 @t143 @t71) (tptp.times_times @t3 @t74 @t145)) (tptp.plus_plus @t3 (tptp.times_times @t3 @t143 @t145) (tptp.times_times @t3 @t74 @t71))) (or (= (tptp.ti @t3 @t143) @t75) (= @t72 (tptp.ti @t3 @t145)))))))) % 0.85/1.09 (assume @p307 (forall @t15 (=> @t304 (forall @t83 (= (tptp.times_times @t3 @t12 @t81) @t241))))) % 0.85/1.09 (assume @p308 (forall @t15 (=> @t304 (forall @t83 (= (tptp.times_times @t3 @t81 @t12) @t241))))) % 0.85/1.09 (assume @p309 (forall @t15 (=> @t304 (forall (@list @t66 @t64 @t293) (= (tptp.power_power @t3 @t382 @t293) (tptp.times_times @t3 @t388 (tptp.power_power @t3 @t64 @t293))))))) % 0.85/1.09 (assume @p310 (forall @t15 (=> @t304 (forall @t321 (= (tptp.times_times @t3 @t320 @t388) (tptp.power_power @t3 @t66 (tptp.plus_plus tptp.nat @t317 @t293))))))) % 0.85/1.09 (assume @p311 (forall @t15 (=> @t304 (forall @t291 (= (tptp.power_power @t3 @t66 @t149) @t12))))) % 0.85/1.09 (assume @p312 (tptp.ord_less_eq tptp.int @t51 @t51)) % 0.85/1.09 (assume @p313 (forall @t15 (=> @t70 (forall @t372 (tptp.ord_less_eq @t3 @t29 @t371))))) % 0.85/1.09 (assume @p314 (forall @t15 (=> @t381 (forall (@list @t229 @t355 @t81 @t222 @t294) (=> (not (= (tptp.ti @t3 @t294) @t29)) (=> (and @t390 (not (= (tptp.ti @t3 @t229) (tptp.ti @t3 @t355)))) (not (= (tptp.plus_plus @t3 @t81 (tptp.times_times @t3 @t294 @t229)) (tptp.plus_plus @t3 @t222 (tptp.times_times @t3 @t294 @t355)))))))))) % 0.85/1.09 (assume @p315 (forall @t15 (=> @t304 (forall @t391 (= (tptp.plus_plus @t3 @t326 @t326) (tptp.times_times @t3 @t258 @t326)))))) % 0.85/1.09 (assume @p316 (forall @t15 (=> @t304 (forall @t393 (= (tptp.plus_plus @t3 @t326 @t386) @t392))))) % 0.85/1.09 (assume @p317 (forall @t15 (=> @t304 (forall (@list @t81 @t326) (= (tptp.plus_plus @t3 @t386 @t326) @t392))))) % 0.85/1.09 (assume @p318 (forall @t15 (=> @t394 (forall (@list @t84 @t143) (= (= (tptp.power_power @t3 @t84 @t364) @t29) (and @t86 (not @t365))))))) % 0.85/1.09 (assume @p319 (forall @t396 (=> @t297 (=> (tptp.ord_less tptp.int @t51 @t323) @t395)))) % 0.85/1.09 (assume @p320 (tptp.ord_less_eq tptp.int @t51 @t52)) % 0.85/1.09 (assume @p321 (forall @t338 (=> @t290 (=> @t397 (tptp.ord_less_eq tptp.int @t51 @t337))))) % 0.85/1.09 (assume @p322 (forall @t338 (=> @t290 (=> @t397 (tptp.ord_less_eq tptp.int @t51 (tptp.plus_plus tptp.int @t66 @t64)))))) % 0.85/1.09 (assume @p323 (forall (@list @t300 @t66) (=> @t290 (tptp.ord_less_eq tptp.int @t51 (tptp.power_power tptp.int @t66 @t300))))) % 0.85/1.09 (assume @p324 (forall @t15 (=> @t401 (forall @t94 (and (=> @t400 (= @t399 @t12)) (=> (not @t400) (= @t399 @t29))))))) % 0.85/1.09 (assume @p325 (tptp.ord_less_eq tptp.int @t51 @t280)) % 0.85/1.09 (assume @p326 (forall @t409 (=> @t408 (=> @t406 (=> @t404 (tptp.ord_less_eq tptp.int @t51 @t402)))))) % 0.85/1.09 (assume @p327 (forall @t409 (=> @t411 (=> @t410 (=> @t404 (tptp.ord_less_eq tptp.int @t402 @t51)))))) % 0.85/1.09 (assume @p328 (forall @t416 (=> @t415 (=> @t410 (=> (tptp.ord_less tptp.int @t405 @t222) (=> @t413 @t412)))))) % 0.85/1.09 (assume @p329 (forall @t420 (=> @t419 (=> @t408 (=> @t406 (=> @t299 (=> @t404 (=> @t418 @t417)))))))) % 0.85/1.09 (assume @p330 (forall @t416 (=> @t415 (=> (tptp.ord_less_eq tptp.int @t294 @t51) (=> (tptp.ord_less tptp.int @t222 @t294) (=> (tptp.ord_less tptp.int @t222 @t405) @t417)))))) % 0.85/1.09 (assume @p331 (forall @t420 (=> @t419 (=> @t411 (=> @t413 (=> @t410 (=> @t404 (=> @t418 @t412)))))))) % 0.85/1.09 (assume @p332 (forall @t291 (= (tptp.power_power tptp.int @t292 @t61) (tptp.power_power tptp.int @t66 (tptp.number_number_of tptp.nat @t55))))) % 0.85/1.09 (assume @p333 (forall @t15 (=> @t304 (forall @t291 (= @t164 @t67))))) % 0.85/1.09 (assume @p334 (tptp.zcong @t62 @t311 @t57)) % 0.85/1.09 (assume @p335 (forall @t423 (=> @t422 (=> (tptp.zcong (tptp.power_power tptp.int @t64 @t61) @t66 @t317) (not @t421))))) % 0.85/1.09 (assume @p336 (forall (@list @t424) (= (tptp.zprime @t424) (and (tptp.ord_less tptp.int @t52 @t424) (forall (@list @t425) (=> (and (tptp.ord_less_eq tptp.int @t51 @t425) (tptp.dvd_dvd tptp.int @t425 @t424)) (or (= @t426 @t52) (= @t426 (tptp.ti tptp.int @t424))))))))) % 0.85/1.09 (assume @p337 (forall (@list @t317) (=> @t319 (=> (not (= @t427 @t287)) (=> (not (= @t427 @t280)) (tptp.ord_less_eq tptp.int (tptp.number_number_of tptp.int (tptp.bit1 @t54)) @t317)))))) % 0.85/1.09 (assume @p338 (tptp.ord_less tptp.nat @t149 @t61)) % 0.85/1.09 (assume @p339 (not (forall (@list @t428) (not (tptp.zcong (tptp.power_power tptp.int @t428 @t61) @t311 @t57))))) % 0.85/1.09 (assume @p340 @t429) % 0.85/1.09 (assume @p341 (= (tptp.bit1 tptp.min) tptp.min)) % 0.85/1.09 (assume @p342 (forall @t255 (= (= tptp.min @t137) (= tptp.min @t215)))) % 0.85/1.09 (assume @p343 (forall @t172 (= (= @t138 tptp.min) (= @t216 tptp.min)))) % 0.85/1.09 (assume @p344 (not (= tptp.min tptp.pls))) % 0.85/1.09 (assume @p345 (not (= tptp.pls tptp.min))) % 0.85/1.09 (assume @p346 (forall @t253 (not (= tptp.min @t254)))) % 0.85/1.09 (assume @p347 (forall @t101 (not (= @t180 tptp.min)))) % 0.85/1.09 (assume @p348 (not (tptp.ord_less tptp.int tptp.min tptp.min))) % 0.85/1.09 (assume @p349 (tptp.ord_less_eq tptp.int tptp.min tptp.min)) % 0.85/1.09 (assume @p350 (forall @t172 (= (tptp.ord_less tptp.int @t138 tptp.min) (tptp.ord_less tptp.int @t111 tptp.min)))) % 0.85/1.09 (assume @p351 (forall @t172 (= (tptp.ord_less tptp.int tptp.min @t138) @t430))) % 0.85/1.09 (assume @p352 (not (tptp.ord_less tptp.int tptp.pls tptp.min))) % 0.85/1.09 (assume @p353 (tptp.ord_less tptp.int tptp.min tptp.pls)) % 0.85/1.09 (assume @p354 (forall @t172 (= (tptp.ord_less tptp.int tptp.min @t142) @t430))) % 0.85/1.09 (assume @p355 (tptp.ord_less tptp.int tptp.min @t51)) % 0.85/1.09 (assume @p356 (forall @t172 (= (tptp.ord_less_eq tptp.int tptp.min @t138) (tptp.ord_less_eq tptp.int tptp.min @t111)))) % 0.85/1.09 (assume @p357 (forall @t172 (= (tptp.ord_less_eq tptp.int @t138 tptp.min) @t431))) % 0.85/1.09 (assume @p358 (tptp.ord_less_eq tptp.int tptp.min tptp.pls)) % 0.85/1.09 (assume @p359 (not (tptp.ord_less_eq tptp.int tptp.pls tptp.min))) % 0.85/1.09 (assume @p360 (forall @t172 (= (tptp.ord_less_eq tptp.int @t142 tptp.min) @t431))) % 0.85/1.09 (assume @p361 (not (= @t233 @t311))) % 0.85/1.09 (assume @p362 (forall @t172 (= (tptp.ord_less tptp.int @t142 tptp.min) @t431))) % 0.85/1.09 (assume @p363 (forall @t172 (= (tptp.ord_less_eq tptp.int tptp.min @t142) @t430))) % 0.85/1.09 (assume @p364 (forall @t432 (= @t249 (or @t248 (and (= @t247 @t311) (= @t245 @t311)))))) % 0.85/1.09 (assume @p365 (forall @t434 (=> (= @t433 @t52) (or (= @t330 @t52) (= @t330 @t311))))) % 0.85/1.09 (assume @p366 (forall @t436 (= @t435 (tptp.zcong @t379 @t84 @t246)))) % 0.85/1.09 (assume @p367 (forall (@list @t99 @t326) (tptp.zcong @t99 @t99 @t326))) % 0.85/1.09 (assume @p368 (forall @t438 (=> @t437 (=> (tptp.zcong @t222 @t229 @t326) (tptp.zcong @t81 @t229 @t326))))) % 0.85/1.09 (assume @p369 (forall @t15 (=> @t45 (forall @t69 (=> @t239 (=> @t439 @t240)))))) % 0.85/1.09 (assume @p370 (forall @t440 (=> (tptp.ord_less tptp.int @t81 @t229) (=> (tptp.ord_less tptp.int @t222 @t229) (or (tptp.ord_less_eq tptp.int @t81 @t222) (tptp.ord_less_eq tptp.int @t222 @t81)))))) % 0.85/1.09 (assume @p371 (forall @t442 (= (tptp.zcong @t84 @t379 @t51) (= (tptp.ti tptp.int @t84) @t441)))) % 0.85/1.09 (assume @p372 (forall @t286 (tptp.zcong @t81 @t222 @t52))) % 0.85/1.09 (assume @p373 (forall @t387 (tptp.zcong @t444 @t443 @t326))) % 0.85/1.09 (assume @p374 (forall @t445 (=> @t437 (tptp.zcong (tptp.times_times tptp.int @t81 @t99) (tptp.times_times tptp.int @t222 @t99) @t326)))) % 0.85/1.09 (assume @p375 (forall @t445 (=> @t437 (tptp.zcong (tptp.times_times tptp.int @t99 @t81) (tptp.times_times tptp.int @t99 @t222) @t326)))) % 0.85/1.09 (assume @p376 (forall @t447 (=> @t437 (=> @t446 (tptp.zcong (tptp.times_times tptp.int @t81 @t229) (tptp.times_times tptp.int @t222 @t355) @t326))))) % 0.85/1.09 (assume @p377 (forall @t447 (=> @t437 (=> @t446 (tptp.zcong @t448 (tptp.plus_plus tptp.int @t222 @t355) @t326))))) % 0.85/1.09 (assume @p378 (forall @t15 (=> @t95 (forall @t449 (= (tptp.power_power @t3 (tptp.number_number_of @t3 tptp.min) @t302) @t12))))) % 0.85/1.09 (assume @p379 (forall @t451 (=> @t297 (=> @t450 (=> @t395 (=> (tptp.ord_less tptp.int @t222 @t81) (not @t437))))))) % 0.85/1.09 (assume @p380 (forall @t436 (= @t435 (exists (@list @t452) (= @t441 (tptp.plus_plus tptp.int @t84 (tptp.times_times tptp.int @t246 @t452))))))) % 0.85/1.09 (assume @p381 (forall @t291 (= (tptp.times_times tptp.real (tptp.number_number_of tptp.real @t55) @t455) (tptp.power_power tptp.real @t454 @t61)))) % 0.85/1.09 (assume @p382 (forall @t393 (=> @t456 (=> @t450 (=> (tptp.zcong @t81 @t51 @t326) (= @t295 @t51)))))) % 0.85/1.09 (assume @p383 (forall @t451 (=> @t456 (=> @t450 (=> (tptp.ord_less_eq tptp.int @t51 @t222) (=> (tptp.ord_less tptp.int @t222 @t326) (=> @t437 (= @t295 @t457)))))))) % 0.85/1.09 (assume @p384 (forall (@list @t102 @t66 @t64 @t317) (=> (tptp.zcong @t129 @t52 @t317) (tptp.zcong @t325 @t52 @t317)))) % 0.85/1.09 (assume @p385 (forall (@list @t300 @t317 @t326) (=> @t332 @t458))) % 0.85/1.09 (assume @p386 @t459) % 0.85/1.09 (assume @p387 (tptp.dvd_dvd tptp.int @t57 @t460)) % 0.85/1.09 (assume @p388 (forall (@list @t124 @t99 @t326) (=> @t463 (=> (tptp.zcong @t462 @t461 @t326) (= @t462 @t461))))) % 0.85/1.09 (assume @p389 (forall (@list @t66 @t317) (=> (tptp.ord_less tptp.int @t287 @t317) (=> (tptp.zcong @t66 @t311 @t317) (not (tptp.zcong @t66 @t52 @t317)))))) % 0.85/1.09 (assume @p390 (= @t460 @t63)) % 0.85/1.09 (assume @p391 (=> (not @t459) (not @t429))) % 0.85/1.09 (assume @p392 (forall @t167 (= (not (tptp.ord_less tptp.real @t464 @t466)) @t465))) % 0.85/1.09 (assume @p393 (forall @t447 (=> @t437 (=> @t446 (tptp.zcong (tptp.minus_minus tptp.int @t81 @t229) (tptp.minus_minus tptp.int @t222 @t355) @t326))))) % 0.85/1.09 (assume @p394 (forall @t333 (=> (tptp.dvd_dvd tptp.int @t99 (tptp.minus_minus tptp.int @t326 @t300)) (=> (tptp.dvd_dvd tptp.int @t99 @t300) (tptp.dvd_dvd tptp.int @t99 @t326))))) % 0.85/1.09 (assume @p395 (forall @t191 (= (tptp.times_times tptp.int @t91 @t467) (tptp.minus_minus tptp.int @t190 @t189)))) % 0.85/1.09 (assume @p396 (forall @t188 (= (tptp.times_times tptp.int @t467 @t91) (tptp.minus_minus tptp.int @t186 @t185)))) % 0.85/1.09 (assume @p397 (forall @t181 (= (tptp.minus_minus tptp.int @t180 @t254) @t469))) % 0.85/1.09 (assume @p398 (forall @t101 (= (tptp.minus_minus tptp.int @t99 tptp.pls) @t100))) % 0.85/1.09 (assume @p399 (forall @t362 (=> (= @t471 @t470) (= @t295 (tptp.plus_plus tptp.int @t229 @t222))))) % 0.85/1.09 (assume @p400 (forall @t15 (=> @t95 (forall @t109 (= (tptp.number_number_of @t3 (tptp.minus_minus tptp.int @t96 @t91)) (tptp.minus_minus @t3 @t97 @t92)))))) % 0.85/1.09 (assume @p401 (forall @t228 (=> @t472 (forall @t232 (= (tptp.times_times @t220 @t221 (tptp.minus_minus @t220 @t222 @t229)) (tptp.minus_minus @t220 @t231 @t230)))))) % 0.85/1.09 (assume @p402 (forall @t228 (=> @t472 (forall @t225 (= (tptp.times_times @t220 (tptp.minus_minus @t220 @t81 @t222) @t221) (tptp.minus_minus @t220 @t224 @t223)))))) % 0.85/1.09 (assume @p403 (forall @t181 (= (tptp.minus_minus tptp.int @t243 @t254) (tptp.bit1 @t468)))) % 0.85/1.09 (assume @p404 (forall @t181 (= (tptp.minus_minus tptp.int @t243 @t252) @t469))) % 0.85/1.09 (assume @p405 (forall @t253 (= (tptp.minus_minus tptp.int tptp.pls @t254) (tptp.bit0 (tptp.minus_minus tptp.int tptp.pls @t178))))) % 0.85/1.09 (assume @p406 (forall @t115 (= @t182 (tptp.ord_less tptp.int (tptp.minus_minus tptp.int @t111 @t110) @t51)))) % 0.85/1.09 (assume @p407 (forall (@list @t81 @t294 @t222 @t326 @t229 @t355 @t300) (= (tptp.plus_plus tptp.int (tptp.times_times tptp.int (tptp.minus_minus tptp.int @t81 (tptp.times_times tptp.int @t294 @t222)) @t326) (tptp.times_times tptp.int (tptp.minus_minus tptp.int @t229 (tptp.times_times tptp.int @t294 @t355)) @t300)) (tptp.minus_minus tptp.int (tptp.plus_plus tptp.int @t444 (tptp.times_times tptp.int @t229 @t300)) (tptp.times_times tptp.int @t294 (tptp.plus_plus tptp.int @t443 (tptp.times_times tptp.int @t355 @t300))))))) % 0.85/1.09 (assume @p408 (forall @t436 (= @t435 (tptp.dvd_dvd tptp.int @t246 (tptp.minus_minus tptp.int @t84 @t379))))) % 0.85/1.09 (assume @p409 (forall @t15 (=> @t95 (forall (@list @t96 @t91 @t229) (= (tptp.plus_plus @t3 @t97 (tptp.minus_minus @t3 @t92 @t229)) (tptp.minus_minus @t3 @t269 @t229)))))) % 0.85/1.09 (assume @p410 (forall (@list @t81 @t66) (=> @t474 (=> (tptp.ord_less tptp.int @t66 @t81) (=> (not (= @t218 @t473)) (tptp.ord_less tptp.int @t66 @t473)))))) % 0.85/1.09 (assume @p411 (forall @t204 (= (tptp.ord_less_eq tptp.int @t143 (tptp.minus_minus tptp.int @t145 @t52)) @t203))) % 0.85/1.09 (assume @p412 (forall @t253 (= (tptp.minus_minus tptp.int tptp.pls @t252) @t476))) % 0.85/1.09 (assume @p413 (forall @t253 (= (tptp.minus_minus tptp.int tptp.min @t252) (tptp.bit0 @t475)))) % 0.85/1.09 (assume @p414 (forall @t253 (= (tptp.minus_minus tptp.int tptp.min @t254) @t476))) % 0.85/1.09 (assume @p415 (forall (@list @t84 @t424) (= (tptp.zcong (tptp.times_times tptp.int @t84 @t477) @t52 @t424) (tptp.zcong @t84 @t477 @t424)))) % 0.85/1.09 (assume @p416 (forall (@list @t355 @t229 @t81 @t222 @t326) (=> @t437 (=> (= @t457 @t470) (=> @t446 (tptp.zcong @t81 @t355 @t326)))))) % 0.85/1.09 (assume @p417 (forall @t480 (=> @t319 (=> @t297 (=> (tptp.ord_less tptp.int @t81 @t317) (=> @t479 (or (= @t295 @t52) (= @t295 @t478)))))))) % 0.85/1.09 (assume @p418 (forall @t480 (=> @t319 (=> @t297 (=> @t479 (or (tptp.zcong @t81 @t52 @t317) (tptp.zcong @t81 @t478 @t317))))))) % 0.85/1.09 (assume @p419 (forall @t286 (= (tptp.times_times tptp.int @t285 @t471) (tptp.minus_minus tptp.int @t282 @t279)))) % 0.85/1.09 (assume @p420 (forall @t391 (tptp.zcong @t326 @t51 @t326))) % 0.85/1.09 (assume @p421 (forall @t481 (=> @t435 (= (tptp.zcong @t336 (tptp.times_times tptp.int @t335 @t84) @t246) (tptp.zcong @t336 (tptp.times_times tptp.int @t335 @t379) @t246))))) % 0.85/1.09 (assume @p422 (forall @t481 (=> @t435 (= (tptp.zcong @t336 (tptp.times_times tptp.int @t84 @t335) @t246) (tptp.zcong @t336 (tptp.times_times tptp.int @t379 @t335) @t246))))) % 0.85/1.09 (assume @p423 (forall @t438 (=> @t437 (tptp.zcong @t448 (tptp.plus_plus tptp.int @t222 @t229) @t326)))) % 0.85/1.09 (assume @p424 (forall (@list @t102 @t66 @t64 @t326) (=> @t482 (tptp.zcong @t128 (tptp.power_power tptp.int @t64 @t102) @t326)))) % 0.85/1.09 (assume @p425 (forall @t15 (=> @t95 (forall @t69 (= (tptp.power_power @t3 (tptp.minus_minus @t3 @t66 @t64) @t61) (tptp.minus_minus @t3 @t68 @t275)))))) % 0.85/1.09 (assume @p426 (forall @t286 (= (tptp.power_power tptp.int @t471 @t61) (tptp.plus_plus tptp.int (tptp.minus_minus tptp.int @t282 @t288) @t279)))) % 0.85/1.09 (assume @p427 (forall @t286 (= (tptp.power_power tptp.int @t471 @t261) (tptp.minus_minus tptp.int (tptp.plus_plus tptp.int (tptp.minus_minus tptp.int @t284 @t283) @t281) @t278)))) % 0.85/1.09 (assume @p428 (forall (@list @t326 @t64 @t66) (=> @t474 (=> (tptp.ord_less tptp.int @t51 @t64) (=> @t328 (=> @t482 (=> @t483 (=> (tptp.ord_less tptp.int @t64 @t326) @t219)))))))) % 0.85/1.09 (assume @p429 (forall @t485 (=> @t474 (=> @t483 (not @t484))))) % 0.85/1.09 (assume @p430 (forall @t329 (=> @t327 (or (tptp.ord_less_eq tptp.int @t326 @t51) (tptp.ord_less_eq tptp.int @t300 @t326))))) % 0.85/1.09 (assume @p431 (forall (@list @t84 @t246) (= (tptp.zcong @t84 @t51 @t246) (tptp.dvd_dvd tptp.int @t246 @t84)))) % 0.85/1.09 (assume @p432 (forall (@list @t74 @t424) (= (tptp.zcong @t74 @t51 @t424) (tptp.dvd_dvd tptp.int @t424 @t74)))) % 0.85/1.09 (assume @p433 (forall (@list @t326 @t300 @t317) @t458)) % 0.85/1.09 (assume @p434 (forall @t485 (=> @t290 (=> @t483 (=> @t484 @t289))))) % 0.85/1.09 (assume @p435 (forall (@list @t317 @t64 @t300) (=> @t487 (=> @t421 @t486)))) % 0.85/1.09 (assume @p436 (forall @t449 (or (= @t488 @t52) (= @t488 @t311)))) % 0.85/1.09 (assume @p437 (forall @t423 (=> @t319 (=> @t422 (=> (not (tptp.zcong @t64 @t51 @t317)) (not (tptp.zcong @t337 @t51 @t317))))))) % 0.85/1.09 (assume @p438 (forall @t493 (=> @t319 (=> @t297 (=> (and @t492 (not @t490)) (not @t489)))))) % 0.85/1.09 (assume @p439 (forall @t493 (=> @t319 (=> @t297 (=> @t489 (or @t491 @t490)))))) % 0.85/1.09 (assume @p440 (forall (@list @t64 @t300 @t317) (=> @t319 (=> @t486 (=> @t487 @t421))))) % 0.85/1.09 (assume @p441 (forall @t391 (=> (tptp.zprime @t494) (= (tptp.legendre @t311 @t494) @t52)))) % 0.85/1.09 (assume @p442 (forall @t391 (=> @t463 (not (tptp.zcong @t52 @t311 @t326))))) % 0.85/1.09 (assume @p443 (forall @t480 (and (=> @t491 (= @t495 @t51)) (=> @t492 (and (=> @t496 (= @t495 @t52)) (=> (not @t496) (= @t495 @t311))))))) % 0.85/1.09 (assume @p444 (forall (@list @t246 @t74) (= (tptp.quadRes @t246 @t74) (exists @t308 (tptp.zcong (tptp.power_power tptp.int @t307 @t61) @t74 @t246))))) % 0.85/1.09 (assume @p445 (forall @t69 (= (tptp.power_power tptp.real (tptp.plus_plus tptp.real @t66 @t64) @t61) (tptp.plus_plus tptp.real (tptp.plus_plus tptp.real @t455 (tptp.power_power tptp.real @t64 @t61)) (tptp.times_times tptp.real @t454 @t64))))) % 0.85/1.09 (assume @p446 (forall @t329 (and (=> @t499 (= @t498 @t149)) (=> @t500 (= @t498 (tptp.plus_plus tptp.nat @t300 (tptp.times_times tptp.nat @t497 @t300))))))) % 0.85/1.09 (assume @p447 (forall (@list @t317 @t326) (and (=> @t499 (= @t501 @t177)) (=> @t500 (= @t501 (tptp.times_times tptp.nat @t317 (tptp.power_power tptp.nat @t317 @t497))))))) % 0.85/1.09 (assume @p448 (forall @t69 (= (tptp.minus_minus tptp.nat (tptp.power_power tptp.nat @t66 @t61) (tptp.power_power tptp.nat @t64 @t61)) (tptp.times_times tptp.nat (tptp.plus_plus tptp.nat @t66 @t64) (tptp.minus_minus tptp.nat @t66 @t64))))) % 0.85/1.09 (assume @p449 (forall @t79 (= (= (tptp.plus_plus tptp.real (tptp.power_power tptp.real @t74 @t61) (tptp.power_power tptp.real @t71 @t61)) @t464) @t502))) % 0.85/1.09 (assume @p450 (not (= @t464 @t503))) % 0.85/1.09 (assume @p451 (forall @t79 (= @t504 (tptp.ord_less_eq tptp.real (tptp.minus_minus tptp.real @t74 @t71) @t464)))) % 0.85/1.09 (assume @p452 (forall @t79 (= @t506 (and @t504 (not @t505))))) % 0.85/1.09 (assume @p453 (forall @t79 (= @t504 (or @t506 @t505)))) % 0.85/1.09 (assume @p454 (forall @t122 (= (tptp.times_times tptp.real (tptp.times_times tptp.real @t121 @t120) @t119) (tptp.times_times tptp.real @t121 (tptp.times_times tptp.real @t120 @t119))))) % 0.85/1.09 (assume @p455 (forall @t103 (= (tptp.times_times tptp.real @t102 @t91) (tptp.times_times tptp.real @t91 @t102)))) % 0.85/1.09 (assume @p456 (forall @t183 (= (tptp.times_times tptp.real @t503 @t102) @t102))) % 0.85/1.09 (assume @p457 (forall @t507 (=> (tptp.ord_less_eq tptp.real @t66 @t64) (tptp.ord_less_eq tptp.real (tptp.plus_plus tptp.real @t102 @t66) (tptp.plus_plus tptp.real @t102 @t64))))) % 0.85/1.09 (assume @p458 (forall @t15 (=> @t6 (forall (@list @t81 @t229 @t222 @t355) (= (tptp.minus_minus @t3 @t354 @t363) (tptp.plus_plus @t3 (tptp.minus_minus @t3 @t81 @t222) (tptp.minus_minus @t3 @t229 @t355))))))) % 0.85/1.09 (assume @p459 (forall @t510 (=> @t509 (= (= (tptp.times_times tptp.real @t336 @t84) (tptp.times_times tptp.real @t336 @t379)) @t508)))) % 0.85/1.09 (assume @p460 (forall @t510 (=> @t509 (= (= (tptp.times_times tptp.real @t84 @t336) (tptp.times_times tptp.real @t379 @t336)) @t508)))) % 0.85/1.09 (assume @p461 (forall @t250 (= (= (tptp.times_times tptp.nat @t244 @t246) @t177) (and (= @t244 @t177) (= @t246 @t177))))) % 0.85/1.09 (assume @p462 (forall @t188 (= (tptp.times_times tptp.real (tptp.plus_plus tptp.real @t121 @t120) @t91) (tptp.plus_plus tptp.real (tptp.times_times tptp.real @t121 @t91) (tptp.times_times tptp.real @t120 @t91))))) % 0.85/1.09 (assume @p463 (forall @t432 (= (= (tptp.power_power tptp.nat @t246 @t244) @t149) (and @t511 (= @t246 @t149))))) % 0.85/1.09 (assume @p464 (forall @t15 (=> (tptp.ring @t3) (forall (@list @t66 @t64 @t81 @t222) (= (tptp.minus_minus @t3 @t382 @t353) (tptp.plus_plus @t3 (tptp.times_times @t3 @t66 (tptp.minus_minus @t3 @t64 @t222)) (tptp.times_times @t3 (tptp.minus_minus @t3 @t66 @t81) @t222))))))) % 0.85/1.09 (assume @p465 (forall @t515 (=> @t514 (= (tptp.ord_less_eq tptp.real @t513 @t512) @t504)))) % 0.85/1.09 (assume @p466 (forall @t515 (=> @t514 (= (tptp.ord_less_eq tptp.real (tptp.times_times tptp.real @t145 @t74) (tptp.times_times tptp.real @t145 @t71)) @t504)))) % 0.85/1.09 (assume @p467 (forall @t130 (=> (tptp.ord_less tptp.real @t464 @t102) (=> (tptp.ord_less tptp.real @t66 @t64) (tptp.ord_less tptp.real (tptp.times_times tptp.real @t102 @t66) (tptp.times_times tptp.real @t102 @t64)))))) % 0.85/1.09 (assume @p468 (forall @t338 (=> (tptp.ord_less tptp.real @t464 @t66) (=> (tptp.ord_less tptp.real @t464 @t64) (tptp.ord_less tptp.real @t464 (tptp.times_times tptp.real @t66 @t64)))))) % 0.85/1.09 (assume @p469 (forall @t515 (=> @t514 (= (tptp.ord_less tptp.real @t513 @t512) @t506)))) % 0.85/1.09 (assume @p470 (forall @t79 (= (= (tptp.plus_plus tptp.real @t466 (tptp.times_times tptp.real @t71 @t71)) @t464) @t502))) % 0.85/1.09 (assume @p471 (forall @t316 (= (= @t314 @t177) (or (= @t74 @t177) @t313)))) % 0.85/1.09 (assume @p472 (forall @t15 (=> (tptp.ring_1 @t3) (forall @t291 (= (tptp.minus_minus @t3 @t164 @t12) (tptp.times_times @t3 (tptp.plus_plus @t3 @t66 @t12) (tptp.minus_minus @t3 @t66 @t12))))))) % 0.85/1.09 (assume @p473 (forall @t15 (=> @t262 (forall @t303 (=> @t487 (= (tptp.times_times @t3 (tptp.power_power @t3 @t66 @t516) @t66) @t301)))))) % 0.85/1.09 (assume @p474 (forall @t449 (tptp.ord_less_eq tptp.real @t503 (tptp.power_power tptp.real @t453 @t300)))) % 0.85/1.09 (assume @p475 (forall @t15 (=> @t16 (forall @t434 (and (=> @t518 (= @t517 @t12)) (=> @t519 (= @t517 (tptp.times_times @t3 @t326 (tptp.power_power @t3 @t326 @t516))))))))) % 0.85/1.09 (assume @p476 (forall @t15 (=> @t238 (forall @t524 (=> @t523 (=> @t522 (=> @t487 @t521))))))) % 0.85/1.09 (assume @p477 (forall @t94 (tptp.ord_less_eq tptp.real @t91 @t91))) % 0.85/1.09 (assume @p478 (forall @t103 (or @t526 @t525))) % 0.85/1.09 (assume @p479 (forall @t126 (=> (tptp.ord_less_eq tptp.real @t123 @t124) (=> (tptp.ord_less_eq tptp.real @t124 @t99) (tptp.ord_less_eq tptp.real @t123 @t99))))) % 0.85/1.09 (assume @p480 (forall @t103 (=> @t526 (=> @t525 (= @t102 @t91))))) % 0.85/1.09 (assume @p481 (forall @t15 (=> @t90 (forall @t528 (=> @t527 (not (= @t370 @t29))))))) % 0.85/1.09 (assume @p482 (forall @t15 (=> (tptp.comm_monoid_mult @t3) (forall (@list @t81 @t222 @t300) (= (tptp.power_power @t3 @t353 @t300) (tptp.times_times @t3 @t370 @t520)))))) % 0.85/1.09 (assume @p483 (forall @t15 (=> @t262 (forall @t372 (= (tptp.times_times @t3 @t370 @t81) @t529))))) % 0.85/1.09 (assume @p484 (forall @t15 (=> @t262 (forall @t449 (= (tptp.power_power @t3 @t12 @t300) @t12))))) % 0.85/1.09 (assume @p485 (forall @t15 (=> @t304 (forall @t531 (=> @t530 (tptp.dvd_dvd @t3 @t301 (tptp.power_power @t3 @t64 @t300))))))) % 0.85/1.09 (assume @p486 (forall @t15 (=> @t262 (forall @t533 (= (tptp.power_power @t3 @t81 @t498) (tptp.power_power @t3 @t532 @t300)))))) % 0.85/1.09 (assume @p487 (forall @t15 (=> @t262 (forall @t83 (= (tptp.power_power @t3 @t81 @t177) @t241))))) % 0.85/1.09 (assume @p488 (forall @t15 (=> @t238 (forall @t524 (=> (tptp.ord_less_eq @t3 @t81 @t222) (=> @t522 (tptp.ord_less_eq @t3 @t370 @t520))))))) % 0.85/1.09 (assume @p489 (forall @t15 (=> @t238 (forall @t528 (=> @t522 (tptp.ord_less_eq @t3 @t29 @t370)))))) % 0.85/1.09 (assume @p490 (forall @t15 (=> @t238 (forall @t528 (=> @t534 (tptp.ord_less @t3 @t29 @t370)))))) % 0.85/1.09 (assume @p491 (forall @t15 (=> @t238 (forall @t528 (=> @t535 (tptp.ord_less_eq @t3 @t12 @t370)))))) % 0.85/1.09 (assume @p492 (forall @t15 (=> @t238 (forall (@list @t246 @t244 @t84) (=> (tptp.ord_less @t3 @t12 @t84) (= (= (tptp.power_power @t3 @t84 @t246) @t536) (= @t246 @t244))))))) % 0.85/1.09 (assume @p493 (forall @t15 (=> @t394 (forall (@list @t84 @t244) (= (= @t536 @t29) (and @t86 @t511)))))) % 0.85/1.09 (assume @p494 (forall @t15 (=> @t16 (forall @t83 (= (tptp.power_power @t3 @t81 @t149) @t12))))) % 0.85/1.09 (assume @p495 (forall @t15 (=> @t262 (forall @t533 (= (tptp.power_power @t3 @t81 (tptp.plus_plus tptp.nat @t326 @t300)) (tptp.times_times @t3 @t532 @t370)))))) % 0.85/1.09 (assume @p496 (forall @t15 (=> @t304 (forall (@list @t326 @t81 @t300 @t222) (=> (tptp.dvd_dvd @t3 @t370 @t222) (=> @t537 (tptp.dvd_dvd @t3 @t532 @t222))))))) % 0.85/1.09 (assume @p497 (forall @t15 (=> @t304 (forall (@list @t300 @t326 @t66 @t64) (=> @t530 (=> (tptp.ord_less_eq tptp.nat @t300 @t326) (tptp.dvd_dvd @t3 @t301 (tptp.power_power @t3 @t64 @t326)))))))) % 0.85/1.09 (assume @p498 (forall @t15 (=> @t304 (forall @t533 (=> @t537 (tptp.dvd_dvd @t3 @t532 @t370)))))) % 0.85/1.09 (assume @p499 (forall (@list @t326 @t300 @t123) (=> (tptp.ord_less tptp.nat @t149 @t123) (=> (tptp.ord_less tptp.nat @t540 @t539) @t538)))) % 0.85/1.09 (assume @p500 (forall @t316 (= @t315 (or @t312 @t313)))) % 0.85/1.09 (assume @p501 (forall @t15 (=> @t238 (forall @t542 (=> @t521 (=> @t541 @t523)))))) % 0.85/1.09 (assume @p502 (forall @t15 (=> @t238 (forall @t528 (=> @t543 (tptp.ord_less @t3 @t370 @t529)))))) % 0.85/1.09 (assume @p503 (forall @t15 (=> @t238 (forall @t528 (=> @t543 (tptp.ord_less @t3 @t12 @t529)))))) % 0.85/1.09 (assume @p504 (forall @t15 (=> @t401 (forall @t449 (and (=> @t518 (= @t544 @t12)) (=> @t519 (= @t544 @t29))))))) % 0.85/1.09 (assume @p505 (forall @t15 (=> @t238 (forall @t548 (=> @t547 (=> @t543 (tptp.ord_less @t3 @t370 @t546))))))) % 0.85/1.09 (assume @p506 (forall @t15 (=> @t238 (forall @t549 (=> @t543 (=> (tptp.ord_less @t3 @t532 @t370) @t538)))))) % 0.85/1.09 (assume @p507 (forall @t15 (=> @t238 (forall @t553 (=> @t552 (= (tptp.ord_less @t3 @t551 @t550) (tptp.ord_less tptp.nat @t74 @t71))))))) % 0.85/1.09 (assume @p508 (forall @t15 (=> @t238 (forall @t548 (=> @t554 (=> @t535 (tptp.ord_less_eq @t3 @t370 @t546))))))) % 0.85/1.09 (assume @p509 (forall @t15 (=> @t238 (forall @t528 (=> @t534 (=> @t555 (tptp.ord_less @t3 @t529 @t370))))))) % 0.85/1.09 (assume @p510 (forall @t15 (=> @t238 (forall @t548 (=> @t547 (=> @t534 (=> @t555 (tptp.ord_less @t3 @t546 @t370)))))))) % 0.85/1.09 (assume @p511 (forall @t15 (=> @t238 (forall @t542 (=> (= @t370 @t520) (=> @t522 (=> @t541 (=> @t487 @t390)))))))) % 0.85/1.09 (assume @p512 (forall @t15 (=> @t238 (forall @t548 (=> @t554 (=> @t522 (=> (tptp.ord_less_eq @t3 @t81 @t12) (tptp.ord_less_eq @t3 @t546 @t370)))))))) % 0.85/1.09 (assume @p513 (forall @t15 (=> @t238 (forall @t549 (=> @t543 (=> (tptp.ord_less_eq @t3 @t532 @t370) @t537)))))) % 0.85/1.09 (assume @p514 (forall @t15 (=> @t238 (forall @t553 (=> @t552 (= (tptp.ord_less_eq @t3 @t551 @t550) (tptp.ord_less_eq tptp.nat @t74 @t71))))))) % 0.85/1.09 (assume @p515 (forall @t15 (=> @t238 (forall @t528 (=> @t543 (=> @t487 (tptp.ord_less @t3 @t12 @t370))))))) % 0.85/1.09 (assume @p516 (forall @t15 (=> @t304 (forall @t303 (=> (or @t487 (= @t235 @t12)) (tptp.dvd_dvd @t3 @t66 @t301)))))) % 0.85/1.09 (assume @p517 (forall @t15 (=> (tptp.linord626643107strict @t3) (forall (@list @t96 @t556 @t64 @t66 @t81) (=> (tptp.ord_less @t3 @t66 @t81) (=> (tptp.ord_less @t3 @t64 @t81) (=> (tptp.ord_less_eq @t3 @t29 @t556) (=> (tptp.ord_less_eq @t3 @t29 @t96) (=> (= (tptp.plus_plus @t3 @t556 @t96) @t12) (tptp.ord_less @t3 (tptp.plus_plus @t3 (tptp.times_times @t3 @t556 @t66) (tptp.times_times @t3 @t96 @t64)) @t81)))))))))) % 0.85/1.09 (assume @p518 (forall @t372 (=> @t487 (=> (tptp.ord_less tptp.real @t464 @t81) (exists @t309 (and (tptp.ord_less tptp.real @t464 @t306) (= (tptp.power_power tptp.real @t306 @t300) @t81) (forall @t308 (=> (and (tptp.ord_less tptp.real @t464 @t307) (= (tptp.power_power tptp.real @t307 @t300) @t81)) (= @t307 @t306))))))))) % 0.85/1.09 (assume @p519 (forall @t15 (=> @t304 (forall @t83 (tptp.dvd_dvd @t3 @t81 @t29))))) % 0.85/1.09 (assume @p520 (forall @t286 (=> @t557 (or (= @t222 @t149) (tptp.ord_less_eq tptp.nat @t81 @t222))))) % 0.85/1.09 (assume @p521 (forall @t531 (=> @t559 (tptp.dvd_dvd tptp.nat @t558 (tptp.power_power tptp.nat @t64 @t300))))) % 0.85/1.09 (assume @p522 (forall @t560 (=> @t557 (tptp.dvd_dvd tptp.nat (tptp.times_times tptp.nat @t229 @t81) (tptp.times_times tptp.nat @t229 @t222))))) % 0.85/1.09 (assume @p523 (forall @t560 (=> @t557 (tptp.dvd_dvd tptp.nat (tptp.times_times tptp.nat @t81 @t229) (tptp.times_times tptp.nat @t222 @t229))))) % 0.85/1.09 (assume @p524 (forall (@list @t222 @t355 @t81) (=> (tptp.dvd_dvd tptp.nat @t355 @t81) (=> (tptp.dvd_dvd tptp.nat @t355 (tptp.plus_plus tptp.nat @t81 @t222)) (tptp.dvd_dvd tptp.nat @t355 @t222))))) % 0.85/1.09 (assume @p525 (forall (@list @t246 @t111 @t244) (= (tptp.dvd_dvd tptp.nat (tptp.times_times tptp.nat @t246 @t111) (tptp.times_times tptp.nat @t244 @t111)) (or (= @t111 @t149) (tptp.dvd_dvd tptp.nat @t246 @t244))))) % 0.85/1.09 (assume @p526 (forall @t542 (=> (tptp.dvd_dvd tptp.nat (tptp.power_power tptp.nat @t81 @t300) (tptp.power_power tptp.nat @t222 @t300)) (=> @t519 @t557)))) % 0.85/1.09 (assume @p527 (forall (@list @t66 @t64 @t300) (=> @t519 (=> (tptp.dvd_dvd tptp.nat @t558 @t64) @t559)))) % 0.85/1.09 (assume @p528 (forall @t15 (=> @t70 (forall @t69 (=> @t439 (=> (not @t240) (tptp.ord_less @t3 @t64 @t66))))))) % 0.85/1.09 (assume @p529 (forall @t15 (=> @t304 (forall @t560 (=> @t563 (=> @t562 @t561)))))) % 0.85/1.09 (assume @p530 (forall @t15 (=> @t304 (forall @t83 (tptp.dvd_dvd @t3 @t81 @t81))))) % 0.85/1.09 (assume @p531 (forall (@list @t66 @t293 @t300 @t294) (=> (= @t66 (tptp.plus_plus tptp.nat (tptp.times_times tptp.nat @t293 @t300) @t294)) (=> (tptp.ord_less tptp.nat @t149 @t294) (=> (tptp.ord_less tptp.nat @t294 @t300) (not (tptp.dvd_dvd tptp.nat @t300 @t66))))))) % 0.85/1.09 (assume @p532 (forall (@list @t123 @t326 @t300) (=> (tptp.dvd_dvd tptp.nat @t540 @t539) (=> (tptp.ord_less tptp.nat @t177 @t123) @t537)))) % 0.85/1.09 (assume @p533 (forall @t15 (=> @t28 @t374))) % 0.85/1.09 (assume @p534 (forall @t15 (=> @t28 @t376))) % 0.85/1.09 (assume @p535 (forall @t15 (=> (tptp.ring_n68954251visors @t3) (forall @t442 (= (= @t564 @t29) (or @t86 (= @t380 @t29))))))) % 0.85/1.09 (assume @p536 (forall @t15 (=> @t27 (forall @t396 (=> @t527 (=> (not @t566) (not @t565))))))) % 0.85/1.09 (assume @p537 (forall @t15 (=> @t27 (forall @t286 (=> @t565 (or @t373 @t566)))))) % 0.85/1.09 (assume @p538 (forall @t15 (=> @t14 (not (= @t12 @t29))))) % 0.85/1.09 (assume @p539 (forall @t15 (=> @t14 (not (= @t29 @t12))))) % 0.85/1.09 (assume @p540 (forall @t15 (=> (tptp.comm_semiring @t3) @t385))) % 0.85/1.09 (assume @p541 (forall @t15 (=> @t19 (forall (@list @t81 @t567 @t222 @t229) (= (tptp.plus_plus @t3 (tptp.times_times @t3 @t81 @t567) (tptp.plus_plus @t3 (tptp.times_times @t3 @t222 @t567) @t229)) (tptp.plus_plus @t3 (tptp.times_times @t3 @t360 @t567) @t229)))))) % 0.85/1.09 (assume @p542 (forall @t15 (=> @t304 (forall @t83 (=> (tptp.dvd_dvd @t3 @t29 @t81) @t373))))) % 0.85/1.09 (assume @p543 (forall @t15 (=> @t304 (forall @t362 (=> @t568 @t562))))) % 0.85/1.09 (assume @p544 (forall @t15 (=> @t304 (forall @t362 (=> @t568 @t561))))) % 0.85/1.09 (assume @p545 (forall @t15 (=> @t24 (forall (@list @t81 @t222 @t99) (=> (= @t81 (tptp.times_times @t3 @t222 @t99)) (tptp.dvd_dvd @t3 @t222 @t81)))))) % 0.85/1.09 (assume @p546 (forall @t15 (=> @t304 (forall (@list @t229 @t355 @t81 @t222) (=> @t563 (=> (tptp.dvd_dvd @t3 @t229 @t355) (tptp.dvd_dvd @t3 @t384 (tptp.times_times @t3 @t222 @t355)))))))) % 0.85/1.09 (assume @p547 (forall @t15 (=> @t304 (forall @t440 (=> @t561 @t569))))) % 0.85/1.09 (assume @p548 (forall @t15 (=> @t304 (forall @t560 (=> @t563 @t569))))) % 0.85/1.09 (assume @p549 (forall @t15 (=> @t304 (forall @t286 (tptp.dvd_dvd @t3 @t81 @t352))))) % 0.85/1.09 (assume @p550 (forall @t15 (=> @t304 (forall @t286 (tptp.dvd_dvd @t3 @t81 @t353))))) % 0.85/1.09 (assume @p551 (forall @t15 (=> @t304 (forall @t560 (=> @t563 (=> @t561 (tptp.dvd_dvd @t3 @t81 @t359))))))) % 0.85/1.09 (assume @p552 (forall @t15 (=> @t304 (forall @t83 (tptp.dvd_dvd @t3 @t12 @t81))))) % 0.85/1.09 (assume @p553 (forall @t15 (=> (tptp.comm_ring_1 @t3) (forall @t507 (=> @t530 (=> (tptp.dvd_dvd @t3 @t66 @t102) (tptp.dvd_dvd @t3 @t66 (tptp.minus_minus @t3 @t64 @t102)))))))) % 0.85/1.09 (assume @p554 (forall @t329 (=> (tptp.dvd_dvd tptp.nat @t300 @t326) (or @t499 (= @t326 @t300) (tptp.ord_less_eq tptp.nat @t302 @t326))))) % 0.85/1.09 (assume @p555 (forall @t15 (=> @t166 (forall @t83 (tptp.ord_less_eq @t3 @t29 @t259))))) % 0.85/1.09 (assume @p556 (forall @t15 (=> @t163 (forall @t442 (= (tptp.ord_less_eq @t3 @t29 @t564) (or (and @t573 @t572) (and @t571 @t570))))))) % 0.85/1.09 (assume @p557 (forall @t15 (=> @t163 (forall @t442 (= (tptp.ord_less_eq @t3 @t564 @t29) (or (and @t573 @t570) (and @t571 @t572))))))) % 0.85/1.09 (assume @p558 (forall @t15 (=> @t575 (forall @t396 (=> @t522 (=> @t541 @t574)))))) % 0.85/1.09 (assume @p559 (forall @t15 (=> @t575 (forall @t396 (=> @t522 (=> @t577 @t576)))))) % 0.85/1.09 (assume @p560 (forall @t15 (=> @t575 (forall @t396 (=> @t522 (=> @t577 (tptp.ord_less_eq @t3 @t352 @t29))))))) % 0.85/1.09 (assume @p561 (forall @t15 (=> @t575 (forall @t396 (=> @t578 (=> @t541 @t576)))))) % 0.85/1.09 (assume @p562 (forall @t15 (=> (tptp.ordered_ring @t3) (forall @t396 (=> @t578 (=> @t577 @t574)))))) % 0.85/1.10 (assume @p563 (tptp.semiri456707255roduct tptp.int)) % 0.85/1.10 (assume @p564 (tptp.linord626643107strict tptp.int)) % 0.85/1.10 (assume @p565 (tptp.linord219039673up_add tptp.int)) % 0.85/1.10 (assume @p566 (tptp.ring_11004092258visors tptp.int)) % 0.85/1.10 (assume @p567 (tptp.ordere453448008miring tptp.int)) % 0.85/1.10 (assume @p568 (tptp.linord581940658strict tptp.int)) % 0.85/1.10 (assume @p569 (tptp.ring_n68954251visors tptp.int)) % 0.85/1.10 (assume @p570 (tptp.linordered_semidom tptp.int)) % 0.85/1.10 (assume @p571 (tptp.comm_monoid_mult tptp.int)) % 0.85/1.10 (assume @p572 (tptp.no_zero_divisors tptp.int)) % 0.85/1.10 (assume @p573 (tptp.linordered_ring tptp.int)) % 0.85/1.10 (assume @p574 (tptp.linordered_idom tptp.int)) % 0.85/1.10 (assume @p575 @t579) % 0.85/1.10 (assume @p576 (tptp.comm_semiring tptp.int)) % 0.85/1.10 (assume @p577 (tptp.number_semiring tptp.int)) % 0.85/1.10 (assume @p578 (tptp.ab_group_add tptp.int)) % 0.85/1.10 (assume @p579 (tptp.zero_neq_one tptp.int)) % 0.85/1.10 (assume @p580 (tptp.ordered_ring tptp.int)) % 0.85/1.10 (assume @p581 (tptp.linorder tptp.int)) % 0.85/1.10 (assume @p582 (tptp.monoid_mult tptp.int)) % 0.85/1.10 (assume @p583 (tptp.comm_ring_1 tptp.int)) % 0.85/1.10 (assume @p584 (tptp.semiring_1 tptp.int)) % 0.85/1.10 (assume @p585 (tptp.semiring_0 tptp.int)) % 0.85/1.10 (assume @p586 (tptp.mult_zero tptp.int)) % 0.85/1.10 (assume @p587 (tptp.order tptp.int)) % 0.85/1.10 (assume @p588 (tptp.ring_char_0 tptp.int)) % 0.85/1.10 (assume @p589 (tptp.number_ring tptp.int)) % 0.85/1.10 (assume @p590 (tptp.semiring tptp.int)) % 0.85/1.10 (assume @p591 (tptp.ring_1 tptp.int)) % 0.85/1.10 (assume @p592 (tptp.power tptp.int)) % 0.85/1.10 (assume @p593 (tptp.ring tptp.int)) % 0.85/1.10 (assume @p594 (tptp.number tptp.int)) % 0.85/1.10 (assume @p595 (tptp.dvd tptp.int)) % 0.85/1.10 (assume @p596 (tptp.semiri456707255roduct tptp.nat)) % 0.85/1.10 (assume @p597 (tptp.ordere453448008miring tptp.nat)) % 0.85/1.10 (assume @p598 (tptp.linordered_semidom tptp.nat)) % 0.85/1.10 (assume @p599 (tptp.comm_monoid_mult tptp.nat)) % 0.85/1.10 (assume @p600 (tptp.no_zero_divisors tptp.nat)) % 0.85/1.10 (assume @p601 (tptp.comm_semiring_1 tptp.nat)) % 0.85/1.10 (assume @p602 (tptp.comm_semiring tptp.nat)) % 0.85/1.10 (assume @p603 (tptp.number_semiring tptp.nat)) % 0.85/1.10 (assume @p604 (tptp.zero_neq_one tptp.nat)) % 0.85/1.10 (assume @p605 (tptp.linorder tptp.nat)) % 0.85/1.10 (assume @p606 (tptp.monoid_mult tptp.nat)) % 0.85/1.10 (assume @p607 (tptp.semiring_1 tptp.nat)) % 0.85/1.10 (assume @p608 (tptp.semiring_0 tptp.nat)) % 0.85/1.10 (assume @p609 (tptp.mult_zero tptp.nat)) % 0.85/1.10 (assume @p610 (tptp.order tptp.nat)) % 0.85/1.10 (assume @p611 (tptp.semiring tptp.nat)) % 0.85/1.10 (assume @p612 (tptp.power tptp.nat)) % 0.85/1.10 (assume @p613 (tptp.number tptp.nat)) % 0.85/1.10 (assume @p614 (tptp.dvd tptp.nat)) % 0.85/1.10 (assume @p615 (tptp.order tptp.bool)) % 0.85/1.10 (assume @p616 (tptp.semiri456707255roduct tptp.real)) % 0.85/1.10 (assume @p617 (tptp.linord626643107strict tptp.real)) % 0.85/1.10 (assume @p618 (tptp.linord219039673up_add tptp.real)) % 0.85/1.10 (assume @p619 (tptp.ring_11004092258visors tptp.real)) % 0.85/1.10 (assume @p620 (tptp.ordere453448008miring tptp.real)) % 0.85/1.10 (assume @p621 (tptp.linord581940658strict tptp.real)) % 0.85/1.10 (assume @p622 (tptp.ring_n68954251visors tptp.real)) % 0.85/1.10 (assume @p623 (tptp.linordered_semidom tptp.real)) % 0.85/1.10 (assume @p624 (tptp.comm_monoid_mult tptp.real)) % 0.85/1.10 (assume @p625 (tptp.no_zero_divisors tptp.real)) % 0.85/1.10 (assume @p626 (tptp.linordered_ring tptp.real)) % 0.85/1.10 (assume @p627 (tptp.linordered_idom tptp.real)) % 0.85/1.10 (assume @p628 (tptp.comm_semiring_1 tptp.real)) % 0.85/1.10 (assume @p629 (tptp.comm_semiring tptp.real)) % 0.85/1.10 (assume @p630 (tptp.number_semiring tptp.real)) % 0.85/1.10 (assume @p631 (tptp.ab_group_add tptp.real)) % 0.85/1.10 (assume @p632 (tptp.zero_neq_one tptp.real)) % 0.85/1.10 (assume @p633 (tptp.ordered_ring tptp.real)) % 0.85/1.10 (assume @p634 (tptp.linorder tptp.real)) % 0.85/1.10 (assume @p635 (tptp.monoid_mult tptp.real)) % 0.85/1.10 (assume @p636 (tptp.comm_ring_1 tptp.real)) % 0.85/1.10 (assume @p637 (tptp.semiring_1 tptp.real)) % 0.85/1.10 (assume @p638 (tptp.semiring_0 tptp.real)) % 0.85/1.10 (assume @p639 (tptp.mult_zero tptp.real)) % 0.85/1.10 (assume @p640 (tptp.order tptp.real)) % 0.85/1.10 (assume @p641 (tptp.ring_char_0 tptp.real)) % 0.85/1.10 (assume @p642 (tptp.number_ring tptp.real)) % 0.85/1.10 (assume @p643 (tptp.semiring tptp.real)) % 0.85/1.10 (assume @p644 (tptp.ring_1 tptp.real)) % 0.85/1.10 (assume @p645 (tptp.power tptp.real)) % 0.85/1.10 (assume @p646 (tptp.ring tptp.real)) % 0.85/1.10 (assume @p647 (tptp.number tptp.real)) % 0.85/1.10 (assume @p648 (tptp.dvd tptp.real)) % 0.85/1.10 (assume @p649 (forall (@list @t581 @t580) (= (tptp.ti @t581 @t582) @t582))) % 0.85/1.10 (assume @p650 (not @t583)) % 0.85/1.10 (assume @p651 true) % 0.85/1.10 (step @p652 :rule evaluate :args ((= true false))) % 0.85/1.10 (step @p653 :rule eq-symm :args (@t584 @t583)) % 0.85/1.10 (step @p654 :rule refl :args (@t205)) % 0.85/1.10 (step @p655 :rule cong :premises (@p654 @p653) :args ((=> @t205 @t585))) % 0.85/1.10 (assume-push @p707 @t205) % 0.85/1.10 (step @p657 :rule instantiate :premises (@p147) :args ((@list @t63 @t51))) % 0.85/1.10 (step-pop @p708 :rule scope :premises (@p657)) % 0.85/1.10 (step @p658 :rule process_scope :premises (@p708) :args (@t585)) % 0.85/1.10 (step @p660 :rule eq_resolve :premises (@p658 @p655)) % 0.85/1.10 (step @p661 :rule implies_elim :premises (@p660)) % 0.85/1.10 (step @p662 :rule chain_m_resolution :premises (@p661 @p147) :args (@t586 (@list false) (@list @t205))) % 0.85/1.10 (step @p663 :rule cnf_equiv_pos2 :args (@t586)) % 0.85/1.10 (step @p664 :rule reordering :premises (@p663) :args ((or @t583 @t587 (not @t586)))) % 0.85/1.10 (step @p665 :rule chain_m_resolution :premises (@p664 @p650 @p662) :args (@t587 (@list true false) (@list @t583 @t586))) % 0.85/1.10 (step @p666 :rule false_intro :premises (@p665)) % 0.85/1.10 (step @p667 :rule quant-merge-prenex :args ((= (forall @t15 @t593) (forall (@list @t3 @t588) @t591)))) % 0.85/1.10 (step @p668 :rule alpha_equiv :args (@t594 (@list @t588) (@list @t81))) % 0.85/1.10 (step @p669 :rule refl :args (@t590)) % 0.85/1.10 (step @p670 :rule nary_cong :premises (@p669 @p668) :args (@t595)) % 0.85/1.10 (step @p671 :rule quant-miniscope-or :args ((= @t593 @t595))) % 0.85/1.10 (step @p672 :rule trans :premises (@p671 @p670)) % 0.85/1.10 (step @p673 :rule symm :premises (@p672)) % 0.85/1.10 (step @p674 :rule cong :premises (@p673) :args ((forall @t15 (or @t590 @t596)))) % 0.85/1.10 (step @p675 :rule trans :premises (@p674 @p667)) % 0.85/1.10 (step @p676 :rule bool-impl-elim :args (@t304 @t596)) % 0.85/1.10 (step @p677 :rule cong :premises (@p676) :args ((forall @t15 (=> @t304 @t596)))) % 0.85/1.10 (step @p678 :rule trans :premises (@p677 @p675)) % 0.85/1.10 (step @p679 :rule eq-symm :args (@t375 @t29)) % 0.85/1.10 (step @p680 :rule cong :premises (@p679) :args (@t376)) % 0.85/1.10 (step @p681 :rule refl :args (@t304)) % 0.85/1.10 (step @p682 :rule cong :premises (@p681 @p680) :args (@t377)) % 0.85/1.10 (step @p683 :rule cong :premises (@p682) :args (@t378)) % 0.85/1.10 (step @p684 :rule trans :premises (@p683 @p678)) % 0.85/1.10 (step @p685 :rule eq_resolve :premises (@p298 @p684)) % 0.85/1.10 (step @p686 :rule instantiate :premises (@p685) :args ((@list tptp.int @t57))) % 0.85/1.10 (step @p687 :rule cnf_or_pos :args (@t599)) % 0.85/1.10 (step @p688 :rule reordering :premises (@p687) :args ((or @t598 @t597 (not @t599)))) % 0.85/1.10 (step @p689 :rule chain_m_resolution :premises (@p688 @p575 @p686) :args (@t597 @t600 (@list @t579 @t599))) % 0.85/1.10 (step @p690 :rule symm :premises (@p689)) % 0.85/1.10 (step @p691 :rule refl :args (@t52)) % 0.85/1.10 (step @p692 :rule symm :premises (@p69)) % 0.85/1.10 (step @p693 :rule refl :args (tptp.int)) % 0.85/1.10 (step @p694 :rule cong :premises (@p693 @p692 @p691) :args (@t601)) % 0.85/1.10 (step @p695 :rule cong :premises (@p693 @p694 @p690) :args (@t602)) % 0.85/1.10 (step @p696 :rule bool-impl-elim :args (@t201 @t200)) % 0.85/1.10 (step @p697 :rule cong :premises (@p696) :args (@t202)) % 0.85/1.10 (step @p698 :rule eq_resolve :premises (@p146 @p697)) % 0.85/1.10 (step @p699 :rule instantiate :premises (@p698) :args ((@list @t59 @t58))) % 0.85/1.10 (step @p700 :rule cnf_or_pos :args (@t604)) % 0.85/1.10 (step @p701 :rule reordering :premises (@p700) :args ((or @t603 @t602 (not @t604)))) % 0.85/1.10 (step @p702 :rule chain_m_resolution :premises (@p701 @p68 @p699) :args (@t602 @t600 (@list @t60 @t604))) % 0.85/1.10 (step @p703 :rule true_intro :premises (@p702)) % 0.85/1.10 (step @p704 :rule symm :premises (@p703)) % 0.85/1.10 (step @p705 :rule trans :premises (@p704 @p695 @p666)) % 0.85/1.10 (step @p706 false :rule eq_resolve :premises (@p705 @p652)) % 0.85/1.10 ) % 0.85/1.10 % SZS output end Proof % 0.85/1.10 % cvc5 exiting %------------------------------------------------------------------------------