%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP044^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:24:53 AM UTC 2026 % Result : Theorem 0.43s 0.85s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP044^1 : TPTP v9.2.1. Released v7.5.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n009.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 04:11:44 EDT 2026 % 0.18/0.35 % CPUTime : % 0.36/0.60 %----Proving TH0 % 0.43/0.85 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.43/0.85 % SZS status Theorem % 0.43/0.85 % SZS output start Proof % 0.43/0.85 ( % 0.43/0.85 (declare-sort tptp.list_a 0) % 0.43/0.85 (declare-sort tptp.list_list_a 0) % 0.43/0.85 (declare-sort tptp.a 0) % 0.43/0.85 (declare-sort tptp.list_nat 0) % 0.43/0.85 (declare-sort tptp.poly_nat 0) % 0.43/0.85 (declare-sort tptp.list_poly_a 0) % 0.43/0.85 (declare-sort tptp.nat 0) % 0.43/0.85 (declare-sort tptp.poly_a 0) % 0.43/0.85 (declare-sort tptp.poly_poly_a 0) % 0.43/0.85 (declare-const tptp.coeffs_a (-> tptp.poly_a tptp.list_a)) % 0.43/0.85 (declare-const tptp.descar2095969287nges_a (-> tptp.list_a tptp.nat)) % 0.43/0.85 (declare-const tptp.coeffs_poly_a (-> tptp.poly_poly_a tptp.list_poly_a)) % 0.43/0.85 (declare-const tptp.null_poly_a (-> tptp.list_poly_a Bool)) % 0.43/0.85 (declare-const tptp.null_a (-> tptp.list_a Bool)) % 0.43/0.85 (declare-const tptp.nil_list_a tptp.list_list_a) % 0.43/0.85 (declare-const tptp.cons_list_a (-> tptp.list_a tptp.list_list_a tptp.list_list_a)) % 0.43/0.85 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) % 0.43/0.85 (declare-const tptp.append_nat (-> tptp.list_nat tptp.list_nat tptp.list_nat)) % 0.43/0.85 (declare-const tptp.poly_nat2 (-> tptp.list_nat tptp.poly_nat)) % 0.43/0.85 (declare-const tptp.append_poly_a (-> tptp.list_poly_a tptp.list_poly_a tptp.list_poly_a)) % 0.43/0.85 (declare-const tptp.coeffs_nat (-> tptp.poly_nat tptp.list_nat)) % 0.43/0.85 (declare-const tptp.nil_nat tptp.list_nat) % 0.43/0.85 (declare-const tptp.one_one_poly_poly_a tptp.poly_poly_a) % 0.43/0.85 (declare-const tptp.cons_nat (-> tptp.nat tptp.list_nat tptp.list_nat)) % 0.43/0.85 (declare-const tptp.descar226543321ms_nat (-> tptp.list_nat tptp.list_nat)) % 0.43/0.85 (declare-const tptp.descar282223555poly_a (-> tptp.list_poly_a tptp.list_poly_a)) % 0.43/0.85 (declare-const tptp.one_one_poly_a tptp.poly_a) % 0.43/0.85 (declare-const tptp.one_one_poly_nat tptp.poly_nat) % 0.43/0.85 (declare-const tptp.pCons_poly_a (-> tptp.poly_a tptp.poly_poly_a tptp.poly_poly_a)) % 0.43/0.85 (declare-const tptp.zero_z2096148049poly_a tptp.poly_poly_a) % 0.43/0.85 (declare-const tptp.cons_a (-> tptp.a tptp.list_a tptp.list_a)) % 0.43/0.85 (declare-const tptp.one_one_a tptp.a) % 0.43/0.85 (declare-const tptp.nil_a tptp.list_a) % 0.43/0.85 (declare-const tptp.poly_a2 (-> tptp.list_a tptp.poly_a)) % 0.43/0.85 (declare-const tptp.descar466059845root_a (-> tptp.a tptp.poly_a tptp.poly_a)) % 0.43/0.85 (declare-const tptp.append_a (-> tptp.list_a tptp.list_a tptp.list_a)) % 0.43/0.85 (declare-const tptp.poly_poly_a2 (-> tptp.list_poly_a tptp.poly_poly_a)) % 0.43/0.85 (declare-const tptp.descar434775507poly_a (-> tptp.poly_a tptp.poly_poly_a tptp.poly_poly_a)) % 0.43/0.85 (declare-const tptp.descar357075861poly_a (-> tptp.list_poly_a tptp.nat)) % 0.43/0.85 (declare-const tptp.zero_zero_poly_nat tptp.poly_nat) % 0.43/0.85 (declare-const tptp.ys tptp.list_a) % 0.43/0.85 (declare-const tptp.descar1375166517sums_a (-> tptp.list_a tptp.list_a)) % 0.43/0.85 (declare-const tptp.ord_less_poly_a (-> tptp.poly_a tptp.poly_a Bool)) % 0.43/0.85 (declare-const tptp.zero_zero_a tptp.a) % 0.43/0.85 (declare-const tptp.zero_zero_poly_a tptp.poly_a) % 0.43/0.85 (declare-const tptp.ord_less_a (-> tptp.a tptp.a Bool)) % 0.43/0.85 (declare-const tptp.xs tptp.list_a) % 0.43/0.85 (declare-const tptp.zero_zero_nat tptp.nat) % 0.43/0.85 (declare-const tptp.nil_poly_a tptp.list_poly_a) % 0.43/0.85 (declare-const tptp.uminus_uminus_a (-> tptp.a tptp.a)) % 0.43/0.85 (declare-const tptp.times_times_poly_a (-> tptp.poly_a tptp.poly_a tptp.poly_a)) % 0.43/0.85 (declare-const tptp.pCons_a (-> tptp.a tptp.poly_a tptp.poly_a)) % 0.43/0.85 (declare-const tptp.smult_a (-> tptp.a tptp.poly_a tptp.poly_a)) % 0.43/0.85 (declare-const tptp.g tptp.poly_a) % 0.43/0.85 (declare-const tptp.uminus_uminus_poly_a (-> tptp.poly_a tptp.poly_a)) % 0.43/0.85 (declare-const tptp.times_times_a (-> tptp.a tptp.a tptp.a)) % 0.43/0.85 (declare-const tptp.smult_poly_a (-> tptp.poly_a tptp.poly_poly_a tptp.poly_poly_a)) % 0.43/0.85 (declare-const tptp.cons_poly_a (-> tptp.poly_a tptp.list_poly_a tptp.list_poly_a)) % 0.43/0.85 (declare-const tptp.pCons_nat (-> tptp.nat tptp.poly_nat tptp.poly_nat)) % 0.43/0.85 (declare-const tptp.times_times_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.43/0.85 (declare-const tptp.smult_nat (-> tptp.nat tptp.poly_nat tptp.poly_nat)) % 0.43/0.85 (declare-const tptp.one_one_nat tptp.nat) % 0.43/0.85 (define tptp.v () (let ((_let_1 (@var "F" tptp.poly_a))) (lambda (@list _let_1) (_ tptp.descar2095969287nges_a (_ tptp.coeffs_a _let_1))))) % 0.43/0.85 (define tptp.is_zero_poly_a () (let ((_let_1 (@var "P" tptp.poly_poly_a))) (lambda (@list _let_1) (_ tptp.null_poly_a (_ tptp.coeffs_poly_a _let_1))))) % 0.43/0.85 (define tptp.is_zero_a () (let ((_let_1 (@var "P" tptp.poly_a))) (lambda (@list _let_1) (_ tptp.null_a (_ tptp.coeffs_a _let_1))))) % 0.43/0.85 (define @t1 () (@var "Q" tptp.poly_poly_a)) % 0.43/0.85 (define @t2 () (@var "P" tptp.poly_poly_a)) % 0.43/0.85 (define @t3 () (_ tptp.coeffs_poly_a @t2)) % 0.43/0.85 (define @t4 () (@var "Z" tptp.poly_poly_a)) % 0.43/0.85 (define @t5 () (@var "Y" tptp.poly_poly_a)) % 0.43/0.85 (define @t6 () (@var "Q" tptp.poly_a)) % 0.43/0.85 (define @t7 () (@var "P" tptp.poly_a)) % 0.43/0.85 (define @t8 () (_ tptp.coeffs_a @t7)) % 0.43/0.85 (define @t9 () (@var "Z" tptp.poly_a)) % 0.43/0.85 (define @t10 () (@var "Y" tptp.poly_a)) % 0.43/0.85 (define @t11 () (@var "P2" tptp.poly_poly_a)) % 0.43/0.85 (define @t12 () (_ tptp.coeffs_poly_a @t11)) % 0.43/0.85 (define @t13 () (_ tptp.descar357075861poly_a @t12)) % 0.43/0.85 (define @t14 () (@var "Xs" tptp.list_poly_a)) % 0.43/0.85 (define @t15 () (_ tptp.descar357075861poly_a @t14)) % 0.43/0.85 (define @t16 () (@var "P2" tptp.poly_a)) % 0.43/0.85 (define @t17 () (_ tptp.coeffs_a @t16)) % 0.43/0.85 (define @t18 () (_ tptp.descar2095969287nges_a @t17)) % 0.43/0.85 (define @t19 () (@var "Xs" tptp.list_a)) % 0.43/0.85 (define @t20 () (_ tptp.descar2095969287nges_a @t19)) % 0.43/0.85 (define @t21 () (= @t20 @t18)) % 0.43/0.85 (define @t22 () (_ tptp.poly_a2 @t19)) % 0.43/0.85 (define @t23 () (=> (= @t22 @t16) @t21)) % 0.43/0.85 (define @t24 () (@list @t19 @t16)) % 0.43/0.85 (define @t25 () (forall @t24 @t23)) % 0.43/0.85 (define @t26 () (_ tptp.cons_a tptp.zero_zero_a)) % 0.43/0.85 (define @t27 () (_ @t26 tptp.nil_a)) % 0.43/0.85 (define @t28 () (_ tptp.coeffs_a tptp.g)) % 0.43/0.85 (define @t29 () (_ tptp.append_a @t28)) % 0.43/0.85 (define @t30 () (= tptp.ys (_ @t29 @t27))) % 0.43/0.85 (define @t31 () (@var "A" tptp.poly_a)) % 0.43/0.85 (define @t32 () (_ tptp.descar434775507poly_a @t31)) % 0.43/0.85 (define @t33 () (_ @t32 @t11)) % 0.43/0.85 (define @t34 () (_ tptp.ord_less_poly_a tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t35 () (_ @t34 @t31)) % 0.43/0.85 (define @t36 () (@list @t31 @t11)) % 0.43/0.85 (define @t37 () (@var "A" tptp.a)) % 0.43/0.85 (define @t38 () (_ tptp.descar466059845root_a @t37)) % 0.43/0.85 (define @t39 () (_ @t38 @t16)) % 0.43/0.85 (define @t40 () (_ tptp.ord_less_a tptp.zero_zero_a)) % 0.43/0.85 (define @t41 () (_ @t40 @t37)) % 0.43/0.85 (define @t42 () (@list @t37 @t16)) % 0.43/0.85 (define @t43 () (@list @t11)) % 0.43/0.85 (define @t44 () (_ tptp.poly_a2 @t17)) % 0.43/0.85 (define @t45 () (@list @t16)) % 0.43/0.85 (define @t46 () (forall @t45 (= @t44 @t16))) % 0.43/0.85 (define @t47 () (_ tptp.uminus_uminus_a tptp.one_one_a)) % 0.43/0.85 (define @t48 () (_ (_ tptp.pCons_a @t47) tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t49 () (_ tptp.pCons_a tptp.one_one_a)) % 0.43/0.85 (define @t50 () (_ @t49 @t48)) % 0.43/0.85 (define @t51 () (_ (_ tptp.times_times_poly_a @t50) tptp.g)) % 0.43/0.85 (define @t52 () (_ tptp.coeffs_a @t51)) % 0.43/0.85 (define @t53 () (_ tptp.smult_a @t37)) % 0.43/0.85 (define @t54 () (_ @t53 @t16)) % 0.43/0.85 (define @t55 () (_ tptp.smult_poly_a @t31)) % 0.43/0.85 (define @t56 () (_ @t55 @t11)) % 0.43/0.85 (define @t57 () (_ @t26 @t19)) % 0.43/0.85 (define @t58 () (@list @t19)) % 0.43/0.85 (define @t59 () (_ tptp.cons_poly_a tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t60 () (_ @t59 @t14)) % 0.43/0.85 (define @t61 () (@list @t14)) % 0.43/0.85 (define @t62 () (@var "X" tptp.a)) % 0.43/0.85 (define @t63 () (_ tptp.cons_a @t62)) % 0.43/0.85 (define @t64 () (_ @t63 @t19)) % 0.43/0.85 (define @t65 () (@list @t62 @t19)) % 0.43/0.85 (define @t66 () (@var "X" tptp.poly_a)) % 0.43/0.85 (define @t67 () (_ tptp.cons_poly_a @t66)) % 0.43/0.85 (define @t68 () (@var "Q2" tptp.poly_a)) % 0.43/0.85 (define @t69 () (@var "B" tptp.a)) % 0.43/0.85 (define @t70 () (= @t37 @t69)) % 0.43/0.85 (define @t71 () (_ tptp.pCons_a @t69)) % 0.43/0.85 (define @t72 () (_ tptp.pCons_a @t37)) % 0.43/0.85 (define @t73 () (_ @t72 @t16)) % 0.43/0.85 (define @t74 () (_ tptp.uminus_uminus_a @t37)) % 0.43/0.85 (define @t75 () (@var "B" tptp.poly_a)) % 0.43/0.85 (define @t76 () (_ tptp.times_times_poly_a @t31)) % 0.43/0.85 (define @t77 () (_ @t76 @t75)) % 0.43/0.85 (define @t78 () (@list @t31 @t75 @t11)) % 0.43/0.85 (define @t79 () (@var "P2" tptp.poly_nat)) % 0.43/0.85 (define @t80 () (@var "B" tptp.nat)) % 0.43/0.85 (define @t81 () (@var "A" tptp.nat)) % 0.43/0.85 (define @t82 () (_ tptp.times_times_nat @t81)) % 0.43/0.85 (define @t83 () (_ @t82 @t80)) % 0.43/0.85 (define @t84 () (_ tptp.smult_nat @t81)) % 0.43/0.85 (define @t85 () (@list @t81 @t80 @t79)) % 0.43/0.85 (define @t86 () (@list @t79)) % 0.43/0.85 (define @t87 () (@list @t37)) % 0.43/0.85 (define @t88 () (_ tptp.times_times_poly_a @t16)) % 0.43/0.85 (define @t89 () (_ @t53 (_ @t88 @t68))) % 0.43/0.85 (define @t90 () (= @t11 tptp.zero_z2096148049poly_a)) % 0.43/0.85 (define @t91 () (= @t31 tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t92 () (= @t79 tptp.zero_zero_poly_nat)) % 0.43/0.85 (define @t93 () (= @t81 tptp.zero_zero_nat)) % 0.43/0.85 (define @t94 () (@list @t81 @t79)) % 0.43/0.85 (define @t95 () (= @t16 tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t96 () (= @t37 tptp.zero_zero_a)) % 0.43/0.85 (define @t97 () (_ (_ tptp.pCons_nat tptp.one_one_nat) tptp.zero_zero_poly_nat)) % 0.43/0.85 (define @t98 () (_ @t49 tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t99 () (_ @t84 @t79)) % 0.43/0.85 (define @t100 () (_ tptp.times_times_a @t37)) % 0.43/0.85 (define @t101 () (_ @t100 @t69)) % 0.43/0.85 (define @t102 () (= @t12 tptp.nil_poly_a)) % 0.43/0.85 (define @t103 () (= @t17 tptp.nil_a)) % 0.43/0.85 (define @t104 () (_ tptp.coeffs_a tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t105 () (@var "Xs" tptp.list_nat)) % 0.43/0.85 (define @t106 () (_ tptp.cons_nat tptp.zero_zero_nat)) % 0.43/0.85 (define @t107 () (_ @t63 tptp.nil_a)) % 0.43/0.85 (define @t108 () (@list @t62)) % 0.43/0.85 (define @t109 () (@list @t66)) % 0.43/0.85 (define @t110 () (@var "As" tptp.list_poly_a)) % 0.43/0.85 (define @t111 () (@var "As" tptp.list_a)) % 0.43/0.85 (define @t112 () (_ tptp.poly_a2 @t111)) % 0.43/0.85 (define @t113 () (_ tptp.append_a @t111)) % 0.43/0.85 (define @t114 () (_ @t113 @t27)) % 0.43/0.85 (define @t115 () (_ tptp.poly_a2 @t114)) % 0.43/0.85 (define @t116 () (= @t115 @t112)) % 0.43/0.85 (define @t117 () (@list @t111)) % 0.43/0.85 (define @t118 () (forall @t117 @t116)) % 0.43/0.85 (define @t119 () (@var "As" tptp.list_nat)) % 0.43/0.85 (define @t120 () (@var "Q3" tptp.poly_a)) % 0.43/0.85 (define @t121 () (@var "A2" tptp.a)) % 0.43/0.85 (define @t122 () (_ tptp.pCons_a @t121)) % 0.43/0.85 (define @t123 () (@list @t7)) % 0.43/0.85 (define @t124 () (@var "P3" (-> tptp.poly_poly_a Bool))) % 0.43/0.85 (define @t125 () (@var "P4" tptp.poly_poly_a)) % 0.43/0.85 (define @t126 () (@var "A2" tptp.poly_a)) % 0.43/0.85 (define @t127 () (@var "P3" (-> tptp.poly_nat Bool))) % 0.43/0.85 (define @t128 () (@var "P4" tptp.poly_nat)) % 0.43/0.85 (define @t129 () (@var "A2" tptp.nat)) % 0.43/0.85 (define @t130 () (@var "P3" (-> tptp.poly_a Bool))) % 0.43/0.85 (define @t131 () (@var "P4" tptp.poly_a)) % 0.43/0.85 (define @t132 () (_ @t122 @t131)) % 0.43/0.85 (define @t133 () (_ @t130 @t132)) % 0.43/0.85 (define @t134 () (_ @t130 @t131)) % 0.43/0.85 (define @t135 () (not (= @t131 tptp.zero_zero_poly_a))) % 0.43/0.85 (define @t136 () (@list @t121 @t131)) % 0.43/0.85 (define @t137 () (@var "P3" (-> tptp.poly_a tptp.poly_a Bool))) % 0.43/0.85 (define @t138 () (@var "B2" tptp.a)) % 0.43/0.85 (define @t139 () (@var "A0" tptp.poly_a)) % 0.43/0.85 (define @t140 () (_ tptp.times_times_poly_a tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t141 () (@var "A1" tptp.list_a)) % 0.43/0.85 (define @t142 () (@var "A0" tptp.list_a)) % 0.43/0.85 (define @t143 () (@var "P3" (-> tptp.list_a tptp.list_a Bool))) % 0.43/0.85 (define @t144 () (_ (_ @t143 @t142) @t141)) % 0.43/0.85 (define @t145 () (@var "Ys" tptp.list_a)) % 0.43/0.85 (define @t146 () (@var "Y2" tptp.a)) % 0.43/0.85 (define @t147 () (_ tptp.cons_a @t146)) % 0.43/0.85 (define @t148 () (_ @t147 @t145)) % 0.43/0.85 (define @t149 () (@var "Xs2" tptp.list_a)) % 0.43/0.85 (define @t150 () (@var "X2" tptp.a)) % 0.43/0.85 (define @t151 () (_ tptp.cons_a @t150)) % 0.43/0.85 (define @t152 () (_ @t151 @t149)) % 0.43/0.85 (define @t153 () (_ @t143 @t152)) % 0.43/0.85 (define @t154 () (_ @t153 @t148)) % 0.43/0.85 (define @t155 () (_ @t143 @t149)) % 0.43/0.85 (define @t156 () (@list @t150 @t149 @t146 @t145)) % 0.43/0.85 (define @t157 () (forall @t156 (=> (_ @t155 @t145) @t154))) % 0.43/0.85 (define @t158 () (@var "Va" tptp.list_a)) % 0.43/0.85 (define @t159 () (@var "V" tptp.a)) % 0.43/0.85 (define @t160 () (_ @t143 tptp.nil_a)) % 0.43/0.85 (define @t161 () (forall (@list @t149) (_ @t155 tptp.nil_a))) % 0.43/0.85 (define @t162 () (@list @t143 @t142 @t141)) % 0.43/0.85 (define @t163 () (not @t90)) % 0.43/0.85 (define @t164 () (not @t95)) % 0.43/0.85 (define @t165 () (forall (@list @t146 @t145) (_ @t160 @t148))) % 0.43/0.85 (define @t166 () (@var "C" tptp.a)) % 0.43/0.85 (define @t167 () (_ tptp.smult_a @t166)) % 0.43/0.85 (define @t168 () (_ @t147 @t149)) % 0.43/0.85 (define @t169 () (_ @t151 @t168)) % 0.43/0.85 (define @t170 () (@var "X" tptp.list_a)) % 0.43/0.85 (define @t171 () (@list @t150 @t146 @t149)) % 0.43/0.85 (define @t172 () (_ @t151 tptp.nil_a)) % 0.43/0.85 (define @t173 () (@list @t150)) % 0.43/0.85 (define @t174 () (= @t170 tptp.nil_a)) % 0.43/0.85 (define @t175 () (not @t174)) % 0.43/0.85 (define @t176 () (@list @t170)) % 0.43/0.85 (define @t177 () (_ tptp.pCons_a @t166)) % 0.43/0.85 (define @t178 () (@var "C" tptp.poly_a)) % 0.43/0.85 (define @t179 () (_ tptp.pCons_poly_a @t178)) % 0.43/0.85 (define @t180 () (not @t96)) % 0.43/0.85 (define @t181 () (not @t91)) % 0.43/0.85 (define @t182 () (@var "Y3" tptp.a)) % 0.43/0.85 (define @t183 () (_ tptp.cons_a @t182)) % 0.43/0.85 (define @t184 () (_ @t183 @t19)) % 0.43/0.85 (define @t185 () (@var "Y3" tptp.poly_a)) % 0.43/0.85 (define @t186 () (_ tptp.cons_poly_a @t185)) % 0.43/0.85 (define @t187 () (_ @t186 @t14)) % 0.43/0.85 (define @t188 () (= @t62 @t182)) % 0.43/0.85 (define @t189 () (@var "Ys2" tptp.list_a)) % 0.43/0.85 (define @t190 () (= @t19 @t189)) % 0.43/0.85 (define @t191 () (_ @t183 tptp.nil_a)) % 0.43/0.85 (define @t192 () (_ tptp.append_a @t189)) % 0.43/0.85 (define @t193 () (_ tptp.append_a @t19)) % 0.43/0.85 (define @t194 () (@var "Z2" tptp.poly_a)) % 0.43/0.85 (define @t195 () (_ tptp.uminus_uminus_poly_a @t194)) % 0.43/0.85 (define @t196 () (_ tptp.uminus_uminus_poly_a tptp.one_one_poly_a)) % 0.43/0.85 (define @t197 () (@list @t194)) % 0.43/0.85 (define @t198 () (@var "Z2" tptp.a)) % 0.43/0.85 (define @t199 () (_ tptp.uminus_uminus_a @t198)) % 0.43/0.85 (define @t200 () (@list @t198)) % 0.43/0.85 (define @t201 () (_ tptp.ord_less_poly_a @t31)) % 0.43/0.85 (define @t202 () (_ @t201 tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t203 () (_ tptp.uminus_uminus_poly_a @t31)) % 0.43/0.85 (define @t204 () (@list @t31)) % 0.43/0.85 (define @t205 () (_ tptp.ord_less_a @t37)) % 0.43/0.85 (define @t206 () (_ @t205 tptp.zero_zero_a)) % 0.43/0.85 (define @t207 () (_ tptp.ord_less_poly_a @t203)) % 0.43/0.85 (define @t208 () (_ tptp.ord_less_a @t74)) % 0.43/0.85 (define @t209 () (= @t166 tptp.zero_zero_a)) % 0.43/0.85 (define @t210 () (or @t209 (= @t69 tptp.one_one_a))) % 0.43/0.85 (define @t211 () (_ tptp.times_times_a @t166)) % 0.43/0.85 (define @t212 () (_ @t211 @t69)) % 0.43/0.85 (define @t213 () (@list @t166 @t69)) % 0.43/0.85 (define @t214 () (= @t178 tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t215 () (or @t214 (= @t75 tptp.one_one_poly_a))) % 0.43/0.85 (define @t216 () (_ tptp.times_times_poly_a @t178)) % 0.43/0.85 (define @t217 () (_ @t216 @t75)) % 0.43/0.85 (define @t218 () (@list @t178 @t75)) % 0.43/0.85 (define @t219 () (or @t209 (= @t37 tptp.one_one_a))) % 0.43/0.85 (define @t220 () (_ @t211 @t37)) % 0.43/0.85 (define @t221 () (or @t214 (= @t31 tptp.one_one_poly_a))) % 0.43/0.85 (define @t222 () (_ @t216 @t31)) % 0.43/0.85 (define @t223 () (_ tptp.times_times_a @t69)) % 0.43/0.85 (define @t224 () (_ @t223 @t166)) % 0.43/0.85 (define @t225 () (_ tptp.times_times_poly_a @t75)) % 0.43/0.85 (define @t226 () (_ @t225 @t178)) % 0.43/0.85 (define @t227 () (_ @t100 @t166)) % 0.43/0.85 (define @t228 () (_ @t76 @t178)) % 0.43/0.85 (define @t229 () (_ tptp.uminus_uminus_a @t69)) % 0.43/0.85 (define @t230 () (@list @t37 @t69)) % 0.43/0.85 (define @t231 () (@var "Y22" tptp.list_a)) % 0.43/0.85 (define @t232 () (@var "X22" tptp.list_a)) % 0.43/0.85 (define @t233 () (@var "Y21" tptp.a)) % 0.43/0.85 (define @t234 () (@var "X21" tptp.a)) % 0.43/0.85 (define @t235 () (_ (_ tptp.cons_a @t234) @t232)) % 0.43/0.85 (define @t236 () (@var "Zs" tptp.list_a)) % 0.43/0.85 (define @t237 () (= @t189 @t236)) % 0.43/0.85 (define @t238 () (_ @t193 @t189)) % 0.43/0.85 (define @t239 () (@list @t19 @t189 @t236)) % 0.43/0.85 (define @t240 () (_ tptp.append_a @t236)) % 0.43/0.85 (define @t241 () (_ @t192 @t236)) % 0.43/0.85 (define @t242 () (@var "C" tptp.list_a)) % 0.43/0.85 (define @t243 () (@var "B" tptp.list_a)) % 0.43/0.85 (define @t244 () (@var "A" tptp.list_a)) % 0.43/0.85 (define @t245 () (_ tptp.append_a @t244)) % 0.43/0.85 (define @t246 () (@var "N" tptp.nat)) % 0.43/0.85 (define @t247 () (= @t246 tptp.zero_zero_nat)) % 0.43/0.85 (define @t248 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) % 0.43/0.85 (define @t249 () (_ @t248 @t246)) % 0.43/0.85 (define @t250 () (@list @t246)) % 0.43/0.85 (define @t251 () (or @t209 @t70)) % 0.43/0.85 (define @t252 () (= @t227 @t224)) % 0.43/0.85 (define @t253 () (@list @t37 @t166 @t69)) % 0.43/0.85 (define @t254 () (= @t31 @t75)) % 0.43/0.85 (define @t255 () (or @t214 @t254)) % 0.43/0.85 (define @t256 () (= @t228 @t226)) % 0.43/0.85 (define @t257 () (@list @t31 @t178 @t75)) % 0.43/0.85 (define @t258 () (= @t81 @t80)) % 0.43/0.85 (define @t259 () (@var "C" tptp.nat)) % 0.43/0.85 (define @t260 () (= @t259 tptp.zero_zero_nat)) % 0.43/0.85 (define @t261 () (or @t260 @t258)) % 0.43/0.85 (define @t262 () (_ tptp.times_times_nat @t80)) % 0.43/0.85 (define @t263 () (_ @t262 @t259)) % 0.43/0.85 (define @t264 () (_ @t82 @t259)) % 0.43/0.85 (define @t265 () (= @t264 @t263)) % 0.43/0.85 (define @t266 () (= @t220 @t212)) % 0.43/0.85 (define @t267 () (@list @t166 @t37 @t69)) % 0.43/0.85 (define @t268 () (= @t222 @t217)) % 0.43/0.85 (define @t269 () (@list @t178 @t31 @t75)) % 0.43/0.85 (define @t270 () (_ tptp.times_times_nat @t259)) % 0.43/0.85 (define @t271 () (_ @t270 @t80)) % 0.43/0.85 (define @t272 () (_ @t270 @t81)) % 0.43/0.85 (define @t273 () (= @t272 @t271)) % 0.43/0.85 (define @t274 () (@list @t259 @t81 @t80)) % 0.43/0.85 (define @t275 () (= @t69 tptp.zero_zero_a)) % 0.43/0.85 (define @t276 () (or @t96 @t275)) % 0.43/0.85 (define @t277 () (= @t101 tptp.zero_zero_a)) % 0.43/0.85 (define @t278 () (= @t75 tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t279 () (or @t91 @t278)) % 0.43/0.85 (define @t280 () (= @t77 tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t281 () (@list @t31 @t75)) % 0.43/0.85 (define @t282 () (= @t80 tptp.zero_zero_nat)) % 0.43/0.85 (define @t283 () (or @t93 @t282)) % 0.43/0.85 (define @t284 () (= @t83 tptp.zero_zero_nat)) % 0.43/0.85 (define @t285 () (@list @t81 @t80)) % 0.43/0.85 (define @t286 () (@list @t81)) % 0.43/0.85 (define @t287 () (_ tptp.times_times_nat tptp.zero_zero_nat)) % 0.43/0.85 (define @t288 () (_ tptp.times_times_nat tptp.one_one_nat)) % 0.43/0.85 (define @t289 () (_ @t201 @t75)) % 0.43/0.85 (define @t290 () (_ tptp.uminus_uminus_poly_a @t75)) % 0.43/0.85 (define @t291 () (_ tptp.ord_less_poly_a @t290)) % 0.43/0.85 (define @t292 () (@list @t75 @t31)) % 0.43/0.85 (define @t293 () (_ @t205 @t69)) % 0.43/0.85 (define @t294 () (_ tptp.ord_less_a @t229)) % 0.43/0.85 (define @t295 () (@list @t69 @t37)) % 0.43/0.85 (define @t296 () (_ tptp.uminus_uminus_poly_a @t77)) % 0.43/0.85 (define @t297 () (_ @t76 @t290)) % 0.43/0.85 (define @t298 () (_ tptp.uminus_uminus_a @t101)) % 0.43/0.85 (define @t299 () (_ @t100 @t229)) % 0.43/0.85 (define @t300 () (_ tptp.times_times_poly_a @t203)) % 0.43/0.85 (define @t301 () (_ tptp.times_times_a @t74)) % 0.43/0.85 (define @t302 () (_ @t300 @t75)) % 0.43/0.85 (define @t303 () (_ @t301 @t69)) % 0.43/0.85 (define @t304 () (@list @t244)) % 0.43/0.85 (define @t305 () (= @t189 tptp.nil_a)) % 0.43/0.85 (define @t306 () (= @t19 tptp.nil_a)) % 0.43/0.85 (define @t307 () (and @t306 @t305)) % 0.43/0.85 (define @t308 () (@list @t19 @t189)) % 0.43/0.85 (define @t309 () (@var "X" tptp.nat)) % 0.43/0.85 (define @t310 () (@list @t309)) % 0.43/0.85 (define @t311 () (_ tptp.ord_less_a @t182)) % 0.43/0.85 (define @t312 () (_ tptp.ord_less_a @t62)) % 0.43/0.85 (define @t313 () (@list @t62 @t182)) % 0.43/0.85 (define @t314 () (_ tptp.ord_less_poly_a @t185)) % 0.43/0.85 (define @t315 () (_ tptp.ord_less_poly_a @t66)) % 0.43/0.85 (define @t316 () (@list @t66 @t185)) % 0.43/0.85 (define @t317 () (_ @t76 @t226)) % 0.43/0.85 (define @t318 () (@list @t75 @t31 @t178)) % 0.43/0.85 (define @t319 () (_ @t82 @t263)) % 0.43/0.85 (define @t320 () (@var "A3" tptp.poly_a)) % 0.43/0.85 (define @t321 () (@var "B3" tptp.poly_a)) % 0.43/0.85 (define @t322 () (@var "A3" tptp.nat)) % 0.43/0.85 (define @t323 () (@var "B3" tptp.nat)) % 0.43/0.85 (define @t324 () (@list @t31 @t75 @t178)) % 0.43/0.85 (define @t325 () (@list @t81 @t80 @t259)) % 0.43/0.85 (define @t326 () (= @t37 @t229)) % 0.43/0.85 (define @t327 () (@var "Ts" tptp.list_a)) % 0.43/0.85 (define @t328 () (@var "Us" tptp.list_a)) % 0.43/0.85 (define @t329 () (_ tptp.append_a @t328)) % 0.43/0.85 (define @t330 () (@var "Us2" tptp.list_a)) % 0.43/0.85 (define @t331 () (@var "Xs1" tptp.list_a)) % 0.43/0.85 (define @t332 () (_ tptp.append_a @t331)) % 0.43/0.85 (define @t333 () (_ tptp.descar2095969287nges_a (_ @t63 @t191))) % 0.43/0.85 (define @t334 () (or (and (_ @t40 @t62) (_ @t311 tptp.zero_zero_a)) (and (_ @t312 tptp.zero_zero_a) (_ @t40 @t182)))) % 0.43/0.85 (define @t335 () (_ tptp.descar357075861poly_a (_ @t67 (_ @t186 tptp.nil_poly_a)))) % 0.43/0.85 (define @t336 () (or (and (_ @t34 @t66) (_ @t314 tptp.zero_zero_poly_a)) (and (_ @t315 tptp.zero_zero_poly_a) (_ @t34 @t185)))) % 0.43/0.85 (define @t337 () (not @t247)) % 0.43/0.85 (define @t338 () (@var "M" tptp.nat)) % 0.43/0.85 (define @t339 () (_ (_ tptp.ord_less_nat @t338) @t246)) % 0.43/0.85 (define @t340 () (@list @t338 @t246)) % 0.43/0.85 (define @t341 () (_ tptp.ord_less_nat @t246)) % 0.43/0.85 (define @t342 () (not @t209)) % 0.43/0.85 (define @t343 () (not @t214)) % 0.43/0.85 (define @t344 () (not @t260)) % 0.43/0.85 (define @t345 () (not @t277)) % 0.43/0.85 (define @t346 () (not @t275)) % 0.43/0.85 (define @t347 () (not @t280)) % 0.43/0.85 (define @t348 () (not @t278)) % 0.43/0.85 (define @t349 () (not @t284)) % 0.43/0.85 (define @t350 () (not @t282)) % 0.43/0.85 (define @t351 () (not @t93)) % 0.43/0.85 (define @t352 () (_ tptp.ord_less_poly_a @t75)) % 0.43/0.85 (define @t353 () (_ tptp.ord_less_a @t69)) % 0.43/0.85 (define @t354 () (@var "P3" (-> tptp.list_a Bool))) % 0.43/0.85 (define @t355 () (_ @t354 @t142)) % 0.43/0.85 (define @t356 () (_ @t151 @t145)) % 0.43/0.85 (define @t357 () (@list @t150 @t145)) % 0.43/0.85 (define @t358 () (_ @t354 tptp.nil_a)) % 0.43/0.85 (define @t359 () (@list @t354 @t142)) % 0.43/0.85 (define @t360 () (@var "A22" tptp.list_a)) % 0.43/0.85 (define @t361 () (@var "A0" (-> tptp.a tptp.a))) % 0.43/0.85 (define @t362 () (@var "P3" (-> (-> tptp.a tptp.a) tptp.list_a tptp.list_a Bool))) % 0.43/0.85 (define @t363 () (@var "Bs" tptp.list_a)) % 0.43/0.85 (define @t364 () (@var "As2" tptp.list_a)) % 0.43/0.85 (define @t365 () (@var "F2" (-> tptp.a tptp.a))) % 0.43/0.85 (define @t366 () (_ @t362 @t365)) % 0.43/0.85 (define @t367 () (@var "X_1" tptp.list_a)) % 0.43/0.85 (define @t368 () (_ @t354 @t19)) % 0.43/0.85 (define @t369 () (_ @t354 @t152)) % 0.43/0.85 (define @t370 () (_ @t354 @t149)) % 0.43/0.85 (define @t371 () (@list @t150 @t149)) % 0.43/0.85 (define @t372 () (forall @t173 (_ @t354 @t172))) % 0.43/0.85 (define @t373 () (not @t306)) % 0.43/0.85 (define @t374 () (@var "A0" (-> tptp.a tptp.a Bool))) % 0.43/0.85 (define @t375 () (@var "P3" (-> (-> tptp.a tptp.a Bool) tptp.list_a Bool))) % 0.43/0.85 (define @t376 () (_ (_ @t375 @t374) @t141)) % 0.43/0.85 (define @t377 () (@var "P5" (-> tptp.a tptp.a Bool))) % 0.43/0.85 (define @t378 () (_ @t375 @t377)) % 0.43/0.85 (define @t379 () (forall (@list @t377) (_ @t378 tptp.nil_a))) % 0.43/0.85 (define @t380 () (@list @t375 @t374 @t141)) % 0.43/0.85 (define @t381 () (= @t150 @t146)) % 0.43/0.85 (define @t382 () (@var "Xss" tptp.list_list_a)) % 0.43/0.85 (define @t383 () (@var "X" tptp.list_list_a)) % 0.43/0.85 (define @t384 () (_ @t153 @t145)) % 0.43/0.85 (define @t385 () (forall (@list @t367) (_ @t160 @t367))) % 0.43/0.85 (define @t386 () (@var "X222" tptp.list_a)) % 0.43/0.85 (define @t387 () (@var "X212" tptp.a)) % 0.43/0.85 (define @t388 () (@var "Zs2" tptp.list_a)) % 0.43/0.85 (define @t389 () (_ @t147 @t388)) % 0.43/0.85 (define @t390 () (@var "Ys3" tptp.list_a)) % 0.43/0.85 (define @t391 () (@var "Y4" tptp.a)) % 0.43/0.85 (define @t392 () (@var "List" tptp.list_a)) % 0.43/0.85 (define @t393 () (@var "X23" tptp.list_a)) % 0.43/0.85 (define @t394 () (@var "X1" tptp.a)) % 0.43/0.85 (define @t395 () (@var "X223" tptp.list_a)) % 0.43/0.85 (define @t396 () (@var "X213" tptp.a)) % 0.43/0.85 (define @t397 () (@var "Y3" tptp.list_a)) % 0.43/0.85 (define @t398 () (_ tptp.append_a tptp.nil_a)) % 0.43/0.85 (define @t399 () (_ @t398 @t189)) % 0.43/0.85 (define @t400 () (_ @t248 @t259)) % 0.43/0.85 (define @t401 () (_ tptp.ord_less_nat @t81)) % 0.43/0.85 (define @t402 () (_ @t401 @t80)) % 0.43/0.85 (define @t403 () (_ (_ tptp.ord_less_a @t220) @t212)) % 0.43/0.85 (define @t404 () (_ @t40 @t166)) % 0.43/0.85 (define @t405 () (@list @t37 @t69 @t166)) % 0.43/0.85 (define @t406 () (_ (_ tptp.ord_less_poly_a @t222) @t217)) % 0.43/0.85 (define @t407 () (_ @t34 @t178)) % 0.43/0.85 (define @t408 () (_ @t353 @t37)) % 0.43/0.85 (define @t409 () (_ (_ tptp.ord_less_a @t166) tptp.zero_zero_a)) % 0.43/0.85 (define @t410 () (or (and @t404 @t293) (and @t409 @t408))) % 0.43/0.85 (define @t411 () (_ (_ tptp.ord_less_a @t227) @t224)) % 0.43/0.85 (define @t412 () (_ @t352 @t31)) % 0.43/0.85 (define @t413 () (_ (_ tptp.ord_less_poly_a @t178) tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t414 () (or (and @t407 @t289) (and @t413 @t412))) % 0.43/0.85 (define @t415 () (_ (_ tptp.ord_less_poly_a @t228) @t226)) % 0.43/0.85 (define @t416 () (@list @t69 @t37 @t166)) % 0.43/0.85 (define @t417 () (_ @t248 @t80)) % 0.43/0.85 (define @t418 () (_ @t248 @t81)) % 0.43/0.85 (define @t419 () (=> @t418 @t417)) % 0.43/0.85 (define @t420 () (_ @t262 @t81)) % 0.43/0.85 (define @t421 () (_ @t40 @t69)) % 0.43/0.85 (define @t422 () (=> @t41 @t421)) % 0.43/0.85 (define @t423 () (_ @t223 @t37)) % 0.43/0.85 (define @t424 () (_ @t34 @t75)) % 0.43/0.85 (define @t425 () (=> @t35 @t424)) % 0.43/0.85 (define @t426 () (_ @t225 @t31)) % 0.43/0.85 (define @t427 () (_ @t248 @t83)) % 0.43/0.85 (define @t428 () (_ @t40 @t101)) % 0.43/0.85 (define @t429 () (_ @t34 @t77)) % 0.43/0.85 (define @t430 () (_ @t353 tptp.zero_zero_a)) % 0.43/0.85 (define @t431 () (_ @t352 tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t432 () (_ (_ tptp.ord_less_nat @t80) tptp.zero_zero_nat)) % 0.43/0.85 (define @t433 () (_ (_ tptp.ord_less_nat @t83) tptp.zero_zero_nat)) % 0.43/0.85 (define @t434 () (_ (_ tptp.ord_less_a @t101) tptp.zero_zero_a)) % 0.43/0.85 (define @t435 () (_ (_ tptp.ord_less_poly_a @t77) tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t436 () (_ @t401 tptp.zero_zero_nat)) % 0.43/0.85 (define @t437 () (@var "K" tptp.nat)) % 0.43/0.85 (define @t438 () (_ @t248 @t437)) % 0.43/0.85 (define @t439 () (and @t438 @t339)) % 0.43/0.85 (define @t440 () (_ tptp.times_times_nat @t437)) % 0.43/0.85 (define @t441 () (_ @t440 @t246)) % 0.43/0.85 (define @t442 () (_ @t440 @t338)) % 0.43/0.85 (define @t443 () (_ (_ tptp.ord_less_nat @t442) @t441)) % 0.43/0.85 (define @t444 () (@list @t437 @t338 @t246)) % 0.43/0.85 (define @t445 () (_ tptp.times_times_nat @t338)) % 0.43/0.85 (define @t446 () (_ @t445 @t246)) % 0.43/0.85 (define @t447 () (_ tptp.times_times_nat @t246)) % 0.43/0.85 (define @t448 () (_ @t447 @t437)) % 0.43/0.85 (define @t449 () (_ @t445 @t437)) % 0.43/0.85 (define @t450 () (@list @t338 @t437 @t246)) % 0.43/0.85 (define @t451 () (= @t437 tptp.zero_zero_nat)) % 0.43/0.85 (define @t452 () (= @t338 @t246)) % 0.43/0.85 (define @t453 () (or @t452 @t451)) % 0.43/0.85 (define @t454 () (= @t338 tptp.zero_zero_nat)) % 0.43/0.85 (define @t455 () (= @t442 @t441)) % 0.43/0.85 (define @t456 () (= @t246 tptp.one_one_nat)) % 0.43/0.85 (define @t457 () (and (= @t338 tptp.one_one_nat) @t456)) % 0.43/0.85 (define @t458 () (@var "Y3" tptp.nat)) % 0.43/0.85 (define @t459 () (@var "P3" (-> tptp.nat Bool))) % 0.43/0.85 (define @t460 () (_ @t459 @t246)) % 0.43/0.85 (define @t461 () (@var "M2" tptp.nat)) % 0.43/0.85 (define @t462 () (_ @t459 @t461)) % 0.43/0.85 (define @t463 () (@var "N2" tptp.nat)) % 0.43/0.85 (define @t464 () (_ (_ tptp.ord_less_nat @t461) @t463)) % 0.43/0.85 (define @t465 () (@list @t461)) % 0.43/0.85 (define @t466 () (_ @t459 @t463)) % 0.43/0.85 (define @t467 () (=> (not @t466) (exists @t465 (and @t464 (not @t462))))) % 0.43/0.85 (define @t468 () (@list @t463)) % 0.43/0.85 (define @t469 () (@list @t459 @t246)) % 0.43/0.85 (define @t470 () (@var "T" tptp.nat)) % 0.43/0.85 (define @t471 () (@var "S" tptp.nat)) % 0.43/0.85 (define @t472 () (not @t452)) % 0.43/0.85 (define @t473 () (_ @t341 @t338)) % 0.43/0.85 (define @t474 () (@var "J" tptp.nat)) % 0.43/0.85 (define @t475 () (@var "I" tptp.nat)) % 0.43/0.85 (define @t476 () (_ (_ tptp.ord_less_nat @t475) @t474)) % 0.43/0.85 (define @t477 () (@list @t475 @t474 @t437)) % 0.43/0.85 (define @t478 () (_ tptp.descar2095969287nges_a @t28)) % 0.43/0.85 (define @t479 () (= (_ tptp.descar2095969287nges_a tptp.ys) @t478)) % 0.43/0.85 (define @t480 () (not @t479)) % 0.43/0.85 (define @t481 () (@var "F" tptp.poly_a)) % 0.43/0.85 (define @t482 () (lambda (@list @t481) (_ tptp.descar2095969287nges_a (_ tptp.coeffs_a @t481)))) % 0.43/0.85 (define @t483 () (lambda (@list @t2) (_ tptp.null_poly_a @t3))) % 0.43/0.85 (define @t484 () (lambda @t123 (_ tptp.null_a @t8))) % 0.43/0.85 (define @t485 () (tptp.uminus_uminus_a tptp.one_one_a)) % 0.43/0.85 (define @t486 () (tptp.pCons_a @t485 tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t487 () (tptp.pCons_a tptp.one_one_a @t486)) % 0.43/0.85 (define @t488 () (tptp.times_times_poly_a @t487 tptp.g)) % 0.43/0.85 (define @t489 () (tptp.coeffs_a @t488)) % 0.43/0.85 (define @t490 () (tptp.descar1375166517sums_a @t489)) % 0.43/0.85 (define @t491 () (tptp.coeffs_a tptp.zero_zero_poly_a)) % 0.43/0.85 (define @t492 () (tptp.cons_a tptp.zero_zero_a @t491)) % 0.43/0.85 (define @t493 () (tptp.coeffs_a tptp.g)) % 0.43/0.85 (define @t494 () (tptp.append_a @t493 @t492)) % 0.43/0.85 (define @t495 () (_ @t26 @t104)) % 0.43/0.85 (define @t496 () (tptp.cons_a tptp.zero_zero_a @t104)) % 0.43/0.85 (define @t497 () (_ @t29 @t495)) % 0.43/0.85 (define @t498 () (_ tptp.descar1375166517sums_a @t52)) % 0.43/0.85 (define @t499 () (tptp.descar2095969287nges_a @t493)) % 0.43/0.85 (define @t500 () (tptp.descar2095969287nges_a @t490)) % 0.43/0.85 (define @t501 () (_ tptp.descar2095969287nges_a @t498)) % 0.43/0.85 (define @t502 () (= @t478 @t501)) % 0.43/0.85 (define @t503 () (tptp.coeffs_a @t16)) % 0.43/0.85 (define @t504 () (tptp.poly_a2 @t503)) % 0.43/0.85 (define @t505 () (= @t16 @t44)) % 0.43/0.85 (define @t506 () (tptp.append_a @t111 @t496)) % 0.43/0.85 (define @t507 () (tptp.poly_a2 @t506)) % 0.43/0.85 (define @t508 () (tptp.poly_a2 @t111)) % 0.43/0.85 (define @t509 () (= @t508 @t507)) % 0.43/0.85 (define @t510 () (tptp.cons_a tptp.zero_zero_a tptp.nil_a)) % 0.43/0.85 (define @t511 () (tptp.append_a @t111 @t510)) % 0.43/0.85 (define @t512 () (tptp.poly_a2 @t511)) % 0.43/0.85 (define @t513 () (= @t512 @t508)) % 0.43/0.85 (define @t514 () (tptp.poly_a2 @t19)) % 0.43/0.85 (define @t515 () (tptp.descar2095969287nges_a @t19)) % 0.43/0.85 (define @t516 () (= @t515 (tptp.descar2095969287nges_a (tptp.coeffs_a @t514)))) % 0.43/0.85 (define @t517 () (not (= @t514 @t514))) % 0.43/0.85 (define @t518 () (or @t517 @t516)) % 0.43/0.85 (define @t519 () (tptp.descar2095969287nges_a @t503)) % 0.43/0.85 (define @t520 () (= @t515 @t519)) % 0.43/0.85 (define @t521 () (not (= @t16 @t514))) % 0.43/0.85 (define @t522 () (or @t521 @t521 @t520)) % 0.43/0.85 (define @t523 () (or @t521 @t520)) % 0.43/0.85 (define @t524 () (forall @t45 @t523)) % 0.43/0.85 (define @t525 () (forall @t58 @t524)) % 0.43/0.85 (define @t526 () (= @t16 @t22)) % 0.43/0.85 (define @t527 () (not @t526)) % 0.43/0.85 (define @t528 () (or @t527 @t21)) % 0.43/0.85 (define @t529 () (tptp.poly_a2 @t490)) % 0.43/0.85 (define @t530 () (tptp.coeffs_a @t529)) % 0.43/0.85 (define @t531 () (tptp.descar2095969287nges_a @t530)) % 0.43/0.85 (define @t532 () (= @t500 @t531)) % 0.43/0.85 (define @t533 () (not @t532)) % 0.43/0.85 (define @t534 () (tptp.poly_a2 @t493)) % 0.43/0.85 (define @t535 () (= @t534 (tptp.poly_a2 @t494))) % 0.43/0.85 (define @t536 () (not @t535)) % 0.43/0.85 (define @t537 () (= tptp.g @t534)) % 0.43/0.85 (define @t538 () (not @t537)) % 0.43/0.85 (define @t539 () (= @t500 @t499)) % 0.43/0.85 (define @t540 () (= @t494 @t490)) % 0.43/0.85 (define @t541 () (not @t540)) % 0.43/0.85 (define @t542 () (not @t539)) % 0.43/0.85 (define @t543 () (and @t532 @t533)) % 0.43/0.85 (assume @p1 (not (= tptp.g tptp.zero_zero_poly_a))) % 0.43/0.85 (assume @p2 (= (lambda (@list @t5 @t4) (= @t5 @t4)) (lambda (@list @t2 @t1) (= @t3 (_ tptp.coeffs_poly_a @t1))))) % 0.43/0.85 (assume @p3 (= (lambda (@list @t10 @t9) (= @t10 @t9)) (lambda (@list @t7 @t6) (= @t8 (_ tptp.coeffs_a @t6))))) % 0.43/0.85 (assume @p4 (= tptp.ys (_ tptp.descar1375166517sums_a tptp.xs))) % 0.43/0.85 (assume @p5 (forall (@list @t14 @t11) (=> (= (_ tptp.poly_poly_a2 @t14) @t11) (= @t15 @t13)))) % 0.43/0.85 (assume @p6 @t25) % 0.43/0.85 (assume @p7 @t30) % 0.43/0.85 (assume @p8 (forall @t36 (=> @t35 (= (_ tptp.descar357075861poly_a (_ tptp.coeffs_poly_a @t33)) @t13)))) % 0.43/0.85 (assume @p9 (forall @t42 (=> @t41 (= (_ tptp.descar2095969287nges_a (_ tptp.coeffs_a @t39)) @t18)))) % 0.43/0.85 (assume @p10 (forall @t43 (= (_ tptp.poly_poly_a2 @t12) @t11))) % 0.43/0.85 (assume @p11 @t46) % 0.43/0.85 (assume @p12 (= (_ tptp.descar357075861poly_a tptp.nil_poly_a) tptp.zero_zero_nat)) % 0.43/0.85 (assume @p13 (= (_ tptp.descar2095969287nges_a tptp.nil_a) tptp.zero_zero_nat)) % 0.43/0.85 (assume @p14 (= tptp.xs @t52)) % 0.43/0.85 (assume @p15 (forall @t42 (=> @t41 (= (_ tptp.descar2095969287nges_a (_ tptp.coeffs_a @t54)) @t18)))) % 0.43/0.85 (assume @p16 (forall @t36 (=> @t35 (= (_ tptp.descar357075861poly_a (_ tptp.coeffs_poly_a @t56)) @t13)))) % 0.43/0.85 (assume @p17 (forall @t58 (= (_ tptp.descar2095969287nges_a @t57) @t20))) % 0.43/0.85 (assume @p18 (forall @t61 (= (_ tptp.descar357075861poly_a @t60) @t15))) % 0.43/0.85 (assume @p19 (forall @t65 (= (_ tptp.descar2095969287nges_a (_ @t63 @t57)) (_ tptp.descar2095969287nges_a @t64)))) % 0.43/0.85 (assume @p20 (forall (@list @t66 @t14) (= (_ tptp.descar357075861poly_a (_ @t67 @t60)) (_ tptp.descar357075861poly_a (_ @t67 @t14))))) % 0.43/0.85 (assume @p21 (forall (@list @t37 @t16 @t69 @t68) (= (= @t73 (_ @t71 @t68)) (and @t70 (= @t16 @t68))))) % 0.43/0.85 (assume @p22 (forall @t42 (= (_ tptp.uminus_uminus_poly_a @t73) (_ (_ tptp.pCons_a @t74) (_ tptp.uminus_uminus_poly_a @t16))))) % 0.43/0.85 (assume @p23 (forall @t78 (= (_ @t55 (_ (_ tptp.smult_poly_a @t75) @t11)) (_ (_ tptp.smult_poly_a @t77) @t11)))) % 0.43/0.85 (assume @p24 (forall @t85 (= (_ @t84 (_ (_ tptp.smult_nat @t80) @t79)) (_ (_ tptp.smult_nat @t83) @t79)))) % 0.43/0.85 (assume @p25 (forall @t45 (= (_ (_ tptp.smult_a tptp.one_one_a) @t16) @t16))) % 0.43/0.85 (assume @p26 (forall @t86 (= (_ (_ tptp.smult_nat tptp.one_one_nat) @t79) @t79))) % 0.43/0.85 (assume @p27 (forall @t42 (= (_ (_ tptp.smult_a @t74) @t16) (_ tptp.uminus_uminus_poly_a @t54)))) % 0.43/0.85 (assume @p28 (forall @t87 (= (_ @t53 tptp.zero_zero_poly_a) tptp.zero_zero_poly_a))) % 0.43/0.85 (assume @p29 (forall (@list @t37 @t16 @t68) (= (_ (_ tptp.times_times_poly_a @t54) @t68) @t89))) % 0.43/0.85 (assume @p30 (forall (@list @t16 @t37 @t68) (= (_ @t88 (_ @t53 @t68)) @t89))) % 0.43/0.85 (assume @p31 (= (_ (_ tptp.pCons_poly_a tptp.zero_zero_poly_a) tptp.zero_z2096148049poly_a) tptp.zero_z2096148049poly_a)) % 0.43/0.85 (assume @p32 (= (_ (_ tptp.pCons_a tptp.zero_zero_a) tptp.zero_zero_poly_a) tptp.zero_zero_poly_a)) % 0.43/0.85 (assume @p33 (= (_ (_ tptp.pCons_nat tptp.zero_zero_nat) tptp.zero_zero_poly_nat) tptp.zero_zero_poly_nat)) % 0.43/0.85 (assume @p34 (forall @t36 (= (= (_ (_ tptp.pCons_poly_a @t31) @t11) tptp.zero_z2096148049poly_a) (and @t91 @t90)))) % 0.43/0.85 (assume @p35 (forall @t94 (= (= (_ (_ tptp.pCons_nat @t81) @t79) tptp.zero_zero_poly_nat) (and @t93 @t92)))) % 0.43/0.85 (assume @p36 (forall @t42 (= (= @t73 tptp.zero_zero_poly_a) (and @t96 @t95)))) % 0.43/0.85 (assume @p37 (= @t97 tptp.one_one_poly_nat)) % 0.43/0.85 (assume @p38 (= @t98 tptp.one_one_poly_a)) % 0.43/0.85 (assume @p39 (= tptp.one_one_poly_nat @t97)) % 0.43/0.85 (assume @p40 (= tptp.one_one_poly_a @t98)) % 0.43/0.85 (assume @p41 (forall @t43 (= (_ (_ tptp.smult_poly_a tptp.zero_zero_poly_a) @t11) tptp.zero_z2096148049poly_a))) % 0.43/0.85 (assume @p42 (forall @t45 (= (_ (_ tptp.smult_a tptp.zero_zero_a) @t16) tptp.zero_zero_poly_a))) % 0.43/0.85 (assume @p43 (forall @t86 (= (_ (_ tptp.smult_nat tptp.zero_zero_nat) @t79) tptp.zero_zero_poly_nat))) % 0.43/0.85 (assume @p44 (forall @t36 (= (= @t56 tptp.zero_z2096148049poly_a) (or @t91 @t90)))) % 0.43/0.85 (assume @p45 (forall @t94 (= (= @t99 tptp.zero_zero_poly_nat) (or @t93 @t92)))) % 0.43/0.85 (assume @p46 (forall @t42 (= (= @t54 tptp.zero_zero_poly_a) (or @t96 @t95)))) % 0.43/0.85 (assume @p47 (forall (@list @t37 @t69 @t16) (= (_ @t53 (_ @t71 @t16)) (_ (_ tptp.pCons_a @t101) @t54)))) % 0.43/0.85 (assume @p48 (forall @t78 (= (_ @t55 (_ (_ tptp.pCons_poly_a @t75) @t11)) (_ (_ tptp.pCons_poly_a @t77) @t56)))) % 0.43/0.85 (assume @p49 (forall @t85 (= (_ @t84 (_ (_ tptp.pCons_nat @t80) @t79)) (_ (_ tptp.pCons_nat @t83) @t99)))) % 0.43/0.85 (assume @p50 (forall @t43 (= @t102 @t90))) % 0.43/0.85 (assume @p51 (forall @t45 (= @t103 @t95))) % 0.43/0.85 (assume @p52 (= (_ tptp.coeffs_poly_a tptp.zero_z2096148049poly_a) tptp.nil_poly_a)) % 0.43/0.85 (assume @p53 (= @t104 tptp.nil_a)) % 0.43/0.85 (assume @p54 (forall @t61 (= (_ tptp.descar282223555poly_a @t60) (_ @t59 (_ tptp.descar282223555poly_a @t14))))) % 0.43/0.85 (assume @p55 (forall (@list @t105) (= (_ tptp.descar226543321ms_nat (_ @t106 @t105)) (_ @t106 (_ tptp.descar226543321ms_nat @t105))))) % 0.43/0.85 (assume @p56 (forall @t58 (= (_ tptp.descar1375166517sums_a @t57) (_ @t26 (_ tptp.descar1375166517sums_a @t19))))) % 0.43/0.85 (assume @p57 (= (_ tptp.coeffs_poly_a tptp.one_one_poly_poly_a) (_ (_ tptp.cons_poly_a tptp.one_one_poly_a) tptp.nil_poly_a))) % 0.43/0.85 (assume @p58 (= (_ tptp.coeffs_a tptp.one_one_poly_a) (_ (_ tptp.cons_a tptp.one_one_a) tptp.nil_a))) % 0.43/0.85 (assume @p59 (= (_ tptp.coeffs_nat tptp.one_one_poly_nat) (_ (_ tptp.cons_nat tptp.one_one_nat) tptp.nil_nat))) % 0.43/0.85 (assume @p60 (forall @t108 (= (_ tptp.descar2095969287nges_a @t107) tptp.zero_zero_nat))) % 0.43/0.85 (assume @p61 (forall @t109 (= (_ tptp.descar357075861poly_a (_ @t67 tptp.nil_poly_a)) tptp.zero_zero_nat))) % 0.43/0.85 (assume @p62 (= (_ tptp.descar2095969287nges_a tptp.xs) (_ tptp.v @t51))) % 0.43/0.85 (assume @p63 (forall (@list @t110) (= (_ tptp.poly_poly_a2 (_ (_ tptp.append_poly_a @t110) (_ @t59 tptp.nil_poly_a))) (_ tptp.poly_poly_a2 @t110)))) % 0.43/0.85 (assume @p64 @t118) % 0.43/0.85 (assume @p65 (forall (@list @t119) (= (_ tptp.poly_nat2 (_ (_ tptp.append_nat @t119) (_ @t106 tptp.nil_nat))) (_ tptp.poly_nat2 @t119)))) % 0.43/0.85 (assume @p66 (forall (@list @t37 @t111) (= (_ tptp.poly_a2 (_ (_ tptp.cons_a @t37) @t111)) (_ @t72 @t112)))) % 0.43/0.85 (assume @p67 (= (_ tptp.poly_a2 tptp.nil_a) tptp.zero_zero_poly_a)) % 0.43/0.85 (assume @p68 (forall @t108 (= (_ tptp.descar1375166517sums_a @t107) @t107))) % 0.43/0.85 (assume @p69 (= (_ tptp.descar1375166517sums_a tptp.nil_a) tptp.nil_a)) % 0.43/0.85 (assume @p70 (forall @t45 (not (forall (@list @t121 @t120) (not (= @t16 (_ @t122 @t120))))))) % 0.43/0.85 (assume @p71 (= tptp.is_zero_a (lambda @t123 (= @t7 tptp.zero_zero_poly_a)))) % 0.43/0.85 (assume @p72 (forall (@list @t124 @t11) (=> (_ @t124 tptp.zero_z2096148049poly_a) (=> (forall (@list @t126 @t125) (=> (or (not (= @t126 tptp.zero_zero_poly_a)) (not (= @t125 tptp.zero_z2096148049poly_a))) (=> (_ @t124 @t125) (_ @t124 (_ (_ tptp.pCons_poly_a @t126) @t125))))) (_ @t124 @t11))))) % 0.43/0.85 (assume @p73 (forall (@list @t127 @t79) (=> (_ @t127 tptp.zero_zero_poly_nat) (=> (forall (@list @t129 @t128) (=> (or (not (= @t129 tptp.zero_zero_nat)) (not (= @t128 tptp.zero_zero_poly_nat))) (=> (_ @t127 @t128) (_ @t127 (_ (_ tptp.pCons_nat @t129) @t128))))) (_ @t127 @t79))))) % 0.43/0.85 (assume @p74 (forall (@list @t130 @t16) (=> (_ @t130 tptp.zero_zero_poly_a) (=> (forall @t136 (=> (or (not (= @t121 tptp.zero_zero_a)) @t135) (=> @t134 @t133))) (_ @t130 @t16))))) % 0.43/0.85 (assume @p75 (forall @t109 (not (forall @t136 (not (= @t66 @t132)))))) % 0.43/0.85 (assume @p76 (forall (@list @t137 @t16 @t68) (=> (_ (_ @t137 tptp.zero_zero_poly_a) tptp.zero_zero_poly_a) (=> (forall (@list @t121 @t131 @t138 @t120) (=> (_ (_ @t137 @t131) @t120) (_ (_ @t137 @t132) (_ (_ tptp.pCons_a @t138) @t120)))) (_ (_ @t137 @t16) @t68))))) % 0.43/0.85 (assume @p77 (forall (@list @t130 @t139) (=> (forall @t136 (=> (=> @t135 @t134) @t133)) (_ @t130 @t139)))) % 0.43/0.85 (assume @p78 (forall (@list @t68) (= (_ @t140 @t68) tptp.zero_zero_poly_a))) % 0.43/0.85 (assume @p79 (forall @t45 (= (_ @t88 tptp.zero_zero_poly_a) tptp.zero_zero_poly_a))) % 0.43/0.85 (assume @p80 (forall @t162 (=> @t161 (=> (forall (@list @t159 @t158) (_ @t160 (_ (_ tptp.cons_a @t159) @t158))) (=> @t157 @t144))))) % 0.43/0.85 (assume @p81 (forall @t43 (=> @t163 (not @t102)))) % 0.43/0.85 (assume @p82 (forall @t45 (=> @t164 (not @t103)))) % 0.43/0.85 (assume @p83 (forall @t162 (=> @t157 (=> @t161 (=> @t165 @t144))))) % 0.43/0.85 (assume @p84 (forall (@list @t166 @t16 @t37) (=> (= (_ @t167 @t16) @t73) @t95))) % 0.43/0.85 (assume @p85 (forall @t176 (=> @t175 (=> (forall @t173 (not (= @t170 @t172))) (not (forall @t171 (not (= @t170 @t169)))))))) % 0.43/0.85 (assume @p86 (forall (@list @t37 @t166 @t16) (= (_ @t38 (_ @t177 @t16)) (_ @t177 (_ @t53 @t39))))) % 0.43/0.85 (assume @p87 (forall (@list @t31 @t178 @t11) (= (_ @t32 (_ @t179 @t11)) (_ @t179 (_ @t55 @t33))))) % 0.43/0.85 (assume @p88 (forall @t42 (=> @t180 (=> @t164 (not (= @t39 tptp.zero_zero_poly_a)))))) % 0.43/0.85 (assume @p89 (forall @t36 (=> @t181 (=> @t163 (not (= @t33 tptp.zero_z2096148049poly_a)))))) % 0.43/0.85 (assume @p90 (forall (@list @t62 @t182 @t19) (=> (_ @t40 (_ (_ tptp.times_times_a @t62) @t182)) (= (_ tptp.descar2095969287nges_a (_ @t63 @t184)) (_ tptp.descar2095969287nges_a @t184))))) % 0.43/0.85 (assume @p91 (forall (@list @t66 @t185 @t14) (=> (_ @t34 (_ (_ tptp.times_times_poly_a @t66) @t185)) (= (_ tptp.descar357075861poly_a (_ @t67 @t187)) (_ tptp.descar357075861poly_a @t187))))) % 0.43/0.85 (assume @p92 (forall (@list @t19 @t62 @t189 @t182) (= (= (_ @t193 @t107) (_ @t192 @t191)) (and @t190 @t188)))) % 0.43/0.85 (assume @p93 (forall @t197 (= (_ (_ tptp.times_times_poly_a @t196) @t194) @t195))) % 0.43/0.85 (assume @p94 (forall @t200 (= (_ (_ tptp.times_times_a @t47) @t198) @t199))) % 0.43/0.85 (assume @p95 (forall @t197 (= (_ (_ tptp.times_times_poly_a @t194) @t196) @t195))) % 0.43/0.85 (assume @p96 (forall @t200 (= (_ (_ tptp.times_times_a @t198) @t47) @t199))) % 0.43/0.85 (assume @p97 (forall @t204 (= (_ @t201 @t203) @t202))) % 0.43/0.85 (assume @p98 (forall @t87 (= (_ @t205 @t74) @t206))) % 0.43/0.85 (assume @p99 (forall @t204 (= (_ @t207 @t31) @t35))) % 0.43/0.85 (assume @p100 (forall @t87 (= (_ @t208 @t37) @t41))) % 0.43/0.85 (assume @p101 (forall @t204 (= (_ @t34 @t203) @t202))) % 0.43/0.85 (assume @p102 (forall @t87 (= (_ @t40 @t74) @t206))) % 0.43/0.85 (assume @p103 (forall @t204 (= (_ @t207 tptp.zero_zero_poly_a) @t35))) % 0.43/0.85 (assume @p104 (forall @t87 (= (_ @t208 tptp.zero_zero_a) @t41))) % 0.43/0.85 (assume @p105 (forall @t213 (= (= @t166 @t212) @t210))) % 0.43/0.85 (assume @p106 (forall @t218 (= (= @t178 @t217) @t215))) % 0.43/0.85 (assume @p107 (forall (@list @t166 @t37) (= (= @t220 @t166) @t219))) % 0.43/0.85 (assume @p108 (forall (@list @t178 @t31) (= (= @t222 @t178) @t221))) % 0.43/0.85 (assume @p109 (forall @t213 (= (= @t166 @t224) @t210))) % 0.43/0.85 (assume @p110 (forall @t218 (= (= @t178 @t226) @t215))) % 0.43/0.85 (assume @p111 (forall (@list @t37 @t166) (= (= @t227 @t166) @t219))) % 0.43/0.85 (assume @p112 (forall (@list @t31 @t178) (= (= @t228 @t178) @t221))) % 0.43/0.85 (assume @p113 (forall @t230 (= (= @t74 @t229) @t70))) % 0.43/0.85 (assume @p114 (forall @t87 (= (_ tptp.uminus_uminus_a @t74) @t37))) % 0.43/0.85 (assume @p115 (forall (@list @t234 @t232 @t233 @t231) (= (= @t235 (_ (_ tptp.cons_a @t233) @t231)) (and (= @t234 @t233) (= @t232 @t231))))) % 0.43/0.85 (assume @p116 (forall @t239 (= (= @t238 (_ @t193 @t236)) @t237))) % 0.43/0.85 (assume @p117 (forall (@list @t189 @t19 @t236) (= (= (_ @t192 @t19) (_ @t240 @t19)) @t237))) % 0.43/0.85 (assume @p118 (forall @t239 (= (_ (_ tptp.append_a @t238) @t236) (_ @t193 @t241)))) % 0.43/0.85 (assume @p119 (forall (@list @t244 @t243 @t242) (= (_ (_ tptp.append_a (_ @t245 @t243)) @t242) (_ @t245 (_ (_ tptp.append_a @t243) @t242))))) % 0.43/0.85 (assume @p120 (forall @t250 (= (not @t249) @t247))) % 0.43/0.85 (assume @p121 (forall @t253 (= @t252 @t251))) % 0.43/0.85 (assume @p122 (forall @t257 (= @t256 @t255))) % 0.43/0.85 (assume @p123 (forall (@list @t81 @t259 @t80) (= @t265 @t261))) % 0.43/0.85 (assume @p124 (forall @t267 (= @t266 @t251))) % 0.43/0.85 (assume @p125 (forall @t269 (= @t268 @t255))) % 0.43/0.85 (assume @p126 (forall @t274 (= @t273 @t261))) % 0.43/0.85 (assume @p127 (forall @t230 (= @t277 @t276))) % 0.43/0.85 (assume @p128 (forall @t281 (= @t280 @t279))) % 0.43/0.85 (assume @p129 (forall @t285 (= @t284 @t283))) % 0.43/0.85 (assume @p130 (forall @t87 (= (_ @t100 tptp.zero_zero_a) tptp.zero_zero_a))) % 0.43/0.85 (assume @p131 (forall @t204 (= (_ @t76 tptp.zero_zero_poly_a) tptp.zero_zero_poly_a))) % 0.43/0.85 (assume @p132 (forall @t286 (= (_ @t82 tptp.zero_zero_nat) tptp.zero_zero_nat))) % 0.43/0.85 (assume @p133 (forall @t87 (= (_ (_ tptp.times_times_a tptp.zero_zero_a) @t37) tptp.zero_zero_a))) % 0.43/0.85 (assume @p134 (forall @t204 (= (_ @t140 @t31) tptp.zero_zero_poly_a))) % 0.43/0.85 (assume @p135 (forall @t286 (= (_ @t287 @t81) tptp.zero_zero_nat))) % 0.43/0.85 (assume @p136 (forall @t204 (= (= @t203 @t31) @t91))) % 0.43/0.85 (assume @p137 (forall @t87 (= (= @t74 @t37) @t96))) % 0.43/0.85 (assume @p138 (forall @t204 (= (= @t31 @t203) @t91))) % 0.43/0.85 (assume @p139 (forall @t87 (= (= @t37 @t74) @t96))) % 0.43/0.85 (assume @p140 (forall @t204 (= (= @t203 tptp.zero_zero_poly_a) @t91))) % 0.43/0.85 (assume @p141 (forall @t87 (= (= @t74 tptp.zero_zero_a) @t96))) % 0.43/0.85 (assume @p142 (forall @t204 (= (= tptp.zero_zero_poly_a @t203) (= tptp.zero_zero_poly_a @t31)))) % 0.43/0.85 (assume @p143 (forall @t87 (= (= tptp.zero_zero_a @t74) (= tptp.zero_zero_a @t37)))) % 0.43/0.85 (assume @p144 (= (_ tptp.uminus_uminus_poly_a tptp.zero_zero_poly_a) tptp.zero_zero_poly_a)) % 0.43/0.85 (assume @p145 (= (_ tptp.uminus_uminus_a tptp.zero_zero_a) tptp.zero_zero_a)) % 0.43/0.85 (assume @p146 (forall @t87 (= (_ @t100 tptp.one_one_a) @t37))) % 0.43/0.85 (assume @p147 (forall @t204 (= (_ @t76 tptp.one_one_poly_a) @t31))) % 0.43/0.85 (assume @p148 (forall @t286 (= (_ @t82 tptp.one_one_nat) @t81))) % 0.43/0.85 (assume @p149 (forall @t87 (= (_ (_ tptp.times_times_a tptp.one_one_a) @t37) @t37))) % 0.43/0.85 (assume @p150 (forall @t204 (= (_ (_ tptp.times_times_poly_a tptp.one_one_poly_a) @t31) @t31))) % 0.43/0.85 (assume @p151 (forall @t286 (= (_ @t288 @t81) @t81))) % 0.43/0.85 (assume @p152 (forall @t292 (= (_ @t291 @t203) @t289))) % 0.43/0.85 (assume @p153 (forall @t295 (= (_ @t294 @t74) @t293))) % 0.43/0.85 (assume @p154 (forall @t281 (= @t297 @t296))) % 0.43/0.85 (assume @p155 (forall @t230 (= @t299 @t298))) % 0.43/0.85 (assume @p156 (forall @t281 (= (_ @t300 @t290) @t77))) % 0.43/0.85 (assume @p157 (forall @t230 (= (_ @t301 @t229) @t101))) % 0.43/0.85 (assume @p158 (forall @t281 (= @t302 @t296))) % 0.43/0.85 (assume @p159 (forall @t230 (= @t303 @t298))) % 0.43/0.85 (assume @p160 (forall @t304 (= (_ @t245 tptp.nil_a) @t244))) % 0.43/0.85 (assume @p161 (forall @t308 (= (= @t238 tptp.nil_a) @t307))) % 0.43/0.85 (assume @p162 (forall @t308 (= (= tptp.nil_a @t238) @t307))) % 0.43/0.85 (assume @p163 (forall (@list @t189 @t19) (= (= @t189 @t238) @t306))) % 0.43/0.85 (assume @p164 (forall @t308 (= (= @t238 @t189) @t306))) % 0.43/0.85 (assume @p165 (forall @t308 (= (= @t19 @t238) @t305))) % 0.43/0.85 (assume @p166 (forall @t308 (= (= @t238 @t19) @t305))) % 0.43/0.85 (assume @p167 (forall @t58 (= (_ @t193 tptp.nil_a) @t19))) % 0.43/0.85 (assume @p168 (forall (@list @t166) (= (_ @t167 tptp.one_one_poly_a) (_ @t177 tptp.zero_zero_poly_a)))) % 0.43/0.85 (assume @p169 (forall @t109 (= (= tptp.zero_zero_poly_a @t66) (= @t66 tptp.zero_zero_poly_a)))) % 0.43/0.85 (assume @p170 (forall @t108 (= (= tptp.zero_zero_a @t62) (= @t62 tptp.zero_zero_a)))) % 0.43/0.85 (assume @p171 (forall @t310 (= (= tptp.zero_zero_nat @t309) (= @t309 tptp.zero_zero_nat)))) % 0.43/0.85 (assume @p172 (forall @t313 (=> (not @t188) (=> (not (_ @t312 @t182)) (_ @t311 @t62))))) % 0.43/0.85 (assume @p173 (forall @t316 (=> (not (= @t66 @t185)) (=> (not (_ @t315 @t185)) (_ @t314 @t66))))) % 0.43/0.85 (assume @p174 (forall @t318 (= (_ @t225 @t228) @t317))) % 0.43/0.85 (assume @p175 (forall (@list @t80 @t81 @t259) (= (_ @t262 @t264) @t319))) % 0.43/0.85 (assume @p176 (= tptp.times_times_poly_a (lambda (@list @t320 @t321) (_ (_ tptp.times_times_poly_a @t321) @t320)))) % 0.43/0.85 (assume @p177 (= tptp.times_times_nat (lambda (@list @t322 @t323) (_ (_ tptp.times_times_nat @t323) @t322)))) % 0.43/0.85 (assume @p178 (forall @t324 (= (_ (_ tptp.times_times_poly_a @t77) @t178) @t317))) % 0.43/0.85 (assume @p179 (forall @t325 (= (_ (_ tptp.times_times_nat @t83) @t259) @t319))) % 0.43/0.85 (assume @p180 (forall @t108 (= (= tptp.one_one_a @t62) (= @t62 tptp.one_one_a)))) % 0.43/0.85 (assume @p181 (forall @t310 (= (= tptp.one_one_nat @t309) (= @t309 tptp.one_one_nat)))) % 0.43/0.85 (assume @p182 (forall @t230 (= (= @t74 @t69) (= @t229 @t37)))) % 0.43/0.85 (assume @p183 (forall @t230 (= @t326 (= @t69 @t74)))) % 0.43/0.85 (assume @p184 (forall @t65 (not (= @t64 @t19)))) % 0.43/0.85 (assume @p185 (forall (@list @t19 @t189 @t236 @t327) (= (= @t238 (_ @t240 @t327)) (exists (@list @t328) (or (and (= @t19 (_ @t240 @t328)) (= (_ @t329 @t189) @t327)) (and (= (_ @t193 @t328) @t236) (= @t189 (_ @t329 @t327)))))))) % 0.43/0.85 (assume @p186 (forall (@list @t19 @t331 @t236 @t189 @t330) (=> (= (_ @t193 @t331) @t236) (=> (= @t189 (_ @t332 @t330)) (= @t238 (_ @t240 @t330)))))) % 0.43/0.85 (assume @p187 (forall @t313 (and (=> @t334 (= @t333 tptp.one_one_nat)) (=> (not @t334) (= @t333 tptp.zero_zero_nat))))) % 0.43/0.85 (assume @p188 (forall @t316 (and (=> @t336 (= @t335 tptp.one_one_nat)) (=> (not @t336) (= @t335 tptp.zero_zero_nat))))) % 0.43/0.85 (assume @p189 (forall @t250 (= @t249 @t337))) % 0.43/0.85 (assume @p190 (forall @t340 (=> @t339 @t337))) % 0.43/0.85 (assume @p191 (forall @t250 (not (_ @t341 tptp.zero_zero_nat)))) % 0.43/0.85 (assume @p192 (forall @t250 (=> @t337 @t249))) % 0.43/0.85 (assume @p193 (not (_ @t248 tptp.zero_zero_nat))) % 0.43/0.85 (assume @p194 (not (_ @t40 tptp.zero_zero_a))) % 0.43/0.85 (assume @p195 (not (_ @t34 tptp.zero_zero_poly_a))) % 0.43/0.85 (assume @p196 (forall @t267 (=> @t342 (= @t252 @t70)))) % 0.43/0.85 (assume @p197 (forall @t269 (=> @t343 (= @t256 @t254)))) % 0.43/0.85 (assume @p198 (forall @t274 (=> @t344 (= @t265 @t258)))) % 0.43/0.85 (assume @p199 (forall @t267 (=> @t342 (= @t266 @t70)))) % 0.43/0.85 (assume @p200 (forall @t269 (=> @t343 (= @t268 @t254)))) % 0.43/0.85 (assume @p201 (forall @t274 (=> @t344 (= @t273 @t258)))) % 0.43/0.85 (assume @p202 (forall @t230 (=> @t180 (=> @t346 @t345)))) % 0.43/0.85 (assume @p203 (forall @t281 (=> @t181 (=> @t348 @t347)))) % 0.43/0.85 (assume @p204 (forall @t285 (=> @t351 (=> @t350 @t349)))) % 0.43/0.85 (assume @p205 (forall @t230 (=> @t277 @t276))) % 0.43/0.85 (assume @p206 (forall @t281 (=> @t280 @t279))) % 0.43/0.85 (assume @p207 (forall @t285 (=> @t284 @t283))) % 0.43/0.85 (assume @p208 (forall @t230 (=> @t345 (and @t180 @t346)))) % 0.43/0.85 (assume @p209 (forall @t281 (=> @t347 (and @t181 @t348)))) % 0.43/0.85 (assume @p210 (forall @t285 (=> @t349 (and @t351 @t350)))) % 0.43/0.85 (assume @p211 (not (= tptp.zero_zero_poly_a tptp.one_one_poly_a))) % 0.43/0.85 (assume @p212 (not (= tptp.zero_zero_a tptp.one_one_a))) % 0.43/0.85 (assume @p213 (not (= tptp.zero_zero_nat tptp.one_one_nat))) % 0.43/0.85 (assume @p214 (not (_ (_ tptp.ord_less_nat tptp.one_one_nat) tptp.one_one_nat))) % 0.43/0.85 (assume @p215 (not (_ (_ tptp.ord_less_a tptp.one_one_a) tptp.one_one_a))) % 0.43/0.85 (assume @p216 (not (_ (_ tptp.ord_less_poly_a tptp.one_one_poly_a) tptp.one_one_poly_a))) % 0.43/0.85 (assume @p217 (forall @t281 (= (_ @t207 @t75) (_ @t291 @t31)))) % 0.43/0.85 (assume @p218 (forall @t230 (= (_ @t208 @t69) (_ @t294 @t37)))) % 0.43/0.85 (assume @p219 (forall @t281 (= (_ @t201 @t290) (_ @t352 @t203)))) % 0.43/0.85 (assume @p220 (forall @t230 (= (_ @t205 @t229) (_ @t353 @t74)))) % 0.43/0.85 (assume @p221 (forall @t281 (= @t302 @t297))) % 0.43/0.85 (assume @p222 (forall @t230 (= @t303 @t299))) % 0.43/0.85 (assume @p223 (forall @t281 (= (= (_ @t76 @t31) (_ @t225 @t75)) (or @t254 (= @t31 @t290))))) % 0.43/0.85 (assume @p224 (forall @t230 (= (= (_ @t100 @t37) (_ @t223 @t69)) (or @t70 @t326)))) % 0.43/0.85 (assume @p225 (not (= tptp.one_one_a @t47))) % 0.43/0.85 (assume @p226 (forall @t359 (=> @t358 (=> (forall @t357 (=> (_ @t354 @t145) (_ @t354 @t356))) @t355)))) % 0.43/0.85 (assume @p227 (forall @t176 (=> @t175 (not (forall @t357 (not (= @t170 @t356))))))) % 0.43/0.85 (assume @p228 (forall (@list @t362 @t361 @t141 @t360) (=> (forall (@list @t365 @t367) (_ (_ @t366 tptp.nil_a) @t367)) (=> (forall (@list @t365 @t121 @t364 @t363) (=> (_ (_ @t366 @t364) (_ (_ tptp.cons_a (_ @t365 @t121)) @t363)) (_ (_ @t366 (_ (_ tptp.cons_a @t121) @t364)) @t363))) (_ (_ (_ @t362 @t361) @t141) @t360))))) % 0.43/0.85 (assume @p229 (forall (@list @t19 @t354) (=> @t373 (=> @t372 (=> (forall @t371 (=> (not (= @t149 tptp.nil_a)) (=> @t370 @t369))) @t368))))) % 0.43/0.85 (assume @p230 (forall @t380 (=> @t379 (=> (forall (@list @t377 @t150) (_ @t378 @t172)) (=> (forall (@list @t377 @t150 @t146 @t149) (=> (_ @t378 @t168) (_ @t378 @t169))) @t376))))) % 0.43/0.85 (assume @p231 (forall @t359 (=> @t358 (=> @t372 (=> (forall @t171 (=> (=> @t381 @t369) (=> (=> (not @t381) (_ @t354 @t168)) (_ @t354 @t169)))) @t355))))) % 0.43/0.85 (assume @p232 (forall @t380 (=> @t379 (=> (forall (@list @t377 @t150 @t145) (=> (_ @t378 @t145) (_ @t378 @t356))) @t376)))) % 0.43/0.85 (assume @p233 (forall (@list @t383) (=> (not (= @t383 tptp.nil_list_a)) (=> (forall (@list @t382) (not (= @t383 (_ (_ tptp.cons_list_a tptp.nil_a) @t382)))) (not (forall (@list @t150 @t149 @t382) (not (= @t383 (_ (_ tptp.cons_list_a @t152) @t382))))))))) % 0.43/0.85 (assume @p234 (forall @t162 (=> @t385 (=> @t161 (=> (forall @t156 (=> (_ @t155 @t148) (=> @t384 @t154))) @t144))))) % 0.43/0.85 (assume @p235 (forall @t359 (=> (forall @t371 (=> (forall (@list @t387 @t386) (=> (= @t149 (_ (_ tptp.cons_a @t387) @t386)) @t370)) @t369)) (=> @t358 @t355)))) % 0.43/0.85 (assume @p236 (forall @t176 (=> (forall @t371 (not (= @t170 @t152))) @t174))) % 0.43/0.85 (assume @p237 (forall (@list @t354 @t19) (=> @t358 (=> @t372 (=> (forall (@list @t150 @t146 @t388) (=> (_ @t354 @t388) (=> (_ @t354 @t389) (_ @t354 (_ @t151 @t389))))) @t368))))) % 0.43/0.85 (assume @p238 (forall @t162 (=> @t385 (=> (forall (@list @t150 @t149 @t145) (=> (_ (_ @t143 @t145) @t149) @t384)) @t144)))) % 0.43/0.85 (assume @p239 (forall (@list @t143 @t19 @t189) (=> (_ @t160 tptp.nil_a) (=> (forall @t371 (_ @t153 tptp.nil_a)) (=> @t165 (=> @t157 (_ (_ @t143 @t19) @t189))))))) % 0.43/0.85 (assume @p240 (forall @t58 (= @t373 (exists (@list @t391 @t390) (= @t19 (_ (_ tptp.cons_a @t391) @t390)))))) % 0.43/0.85 (assume @p241 (forall (@list @t354 @t392) (=> @t358 (=> (forall (@list @t394 @t393) (=> (_ @t354 @t393) (_ @t354 (_ (_ tptp.cons_a @t394) @t393)))) (_ @t354 @t392))))) % 0.43/0.85 (assume @p242 (forall (@list @t397) (=> (not (= @t397 tptp.nil_a)) (not (forall (@list @t396 @t395) (not (= @t397 (_ (_ tptp.cons_a @t396) @t395)))))))) % 0.43/0.85 (assume @p243 (forall (@list @t392 @t234 @t232) (=> (= @t392 @t235) (not (= @t392 tptp.nil_a))))) % 0.43/0.85 (assume @p244 (forall (@list @t234 @t232) (not (= tptp.nil_a @t235)))) % 0.43/0.85 (assume @p245 (forall (@list @t62 @t19 @t189) (= (_ (_ tptp.append_a @t64) @t189) (_ @t63 @t238)))) % 0.43/0.85 (assume @p246 (forall (@list @t62 @t331 @t189 @t19 @t236) (=> (= (_ @t63 @t331) @t189) (=> (= @t19 (_ @t332 @t236)) (= @t64 @t241))))) % 0.43/0.85 (assume @p247 (forall @t304 (= (_ @t398 @t244) @t244))) % 0.43/0.85 (assume @p248 (forall (@list @t189) (= @t399 @t189))) % 0.43/0.85 (assume @p249 (forall @t308 (=> @t190 (= @t19 @t399)))) % 0.43/0.85 (assume @p250 (forall @t65 (not (_ tptp.null_a @t64)))) % 0.43/0.85 (assume @p251 (forall @t58 (= @t306 (_ tptp.null_a @t19)))) % 0.43/0.85 (assume @p252 (_ tptp.null_a tptp.nil_a)) % 0.43/0.85 (assume @p253 (forall @t325 (=> @t402 (=> @t400 (_ (_ tptp.ord_less_nat @t272) @t271))))) % 0.43/0.85 (assume @p254 (forall @t405 (=> @t293 (=> @t404 @t403)))) % 0.43/0.85 (assume @p255 (forall @t324 (=> @t289 (=> @t407 @t406)))) % 0.43/0.85 (assume @p256 (forall @t253 (= @t411 @t410))) % 0.43/0.85 (assume @p257 (forall @t257 (= @t415 @t414))) % 0.43/0.85 (assume @p258 (forall @t325 (=> @t402 (=> @t400 (_ (_ tptp.ord_less_nat @t264) @t263))))) % 0.43/0.85 (assume @p259 (forall @t405 (=> @t293 (=> @t404 @t411)))) % 0.43/0.85 (assume @p260 (forall @t324 (=> @t289 (=> @t407 @t415)))) % 0.43/0.85 (assume @p261 (forall @t416 (=> @t408 (=> @t409 @t411)))) % 0.43/0.85 (assume @p262 (forall @t318 (=> @t412 (=> @t413 @t415)))) % 0.43/0.85 (assume @p263 (forall @t267 (= @t403 @t410))) % 0.43/0.85 (assume @p264 (forall @t269 (= @t406 @t414))) % 0.43/0.85 (assume @p265 (forall @t416 (=> @t408 (=> @t409 @t403)))) % 0.43/0.85 (assume @p266 (forall @t318 (=> @t412 (=> @t413 @t406)))) % 0.43/0.85 (assume @p267 (forall @t267 (=> @t404 (= @t403 @t293)))) % 0.43/0.85 (assume @p268 (forall @t269 (=> @t407 (= @t406 @t289)))) % 0.43/0.85 (assume @p269 (forall @t267 (=> @t409 (= @t403 @t408)))) % 0.43/0.85 (assume @p270 (forall @t269 (=> @t413 (= @t406 @t412)))) % 0.43/0.85 (assume @p271 (forall (@list @t80 @t81) (=> (_ @t248 @t420) @t419))) % 0.43/0.85 (assume @p272 (forall @t295 (=> (_ @t40 @t423) @t422))) % 0.43/0.85 (assume @p273 (forall @t292 (=> (_ @t34 @t426) @t425))) % 0.43/0.85 (assume @p274 (forall @t285 (=> @t427 @t419))) % 0.43/0.85 (assume @p275 (forall @t230 (=> @t428 @t422))) % 0.43/0.85 (assume @p276 (forall @t281 (=> @t429 @t425))) % 0.43/0.85 (assume @p277 (forall @t230 (= @t428 (or (and @t41 @t421) (and @t206 @t430))))) % 0.43/0.85 (assume @p278 (forall @t281 (= @t429 (or (and @t35 @t424) (and @t202 @t431))))) % 0.43/0.85 (assume @p279 (forall @t285 (=> @t418 (=> @t432 (_ (_ tptp.ord_less_nat @t420) tptp.zero_zero_nat))))) % 0.43/0.85 (assume @p280 (forall @t230 (=> @t41 (=> @t430 (_ (_ tptp.ord_less_a @t423) tptp.zero_zero_a))))) % 0.43/0.85 (assume @p281 (forall @t281 (=> @t35 (=> @t431 (_ (_ tptp.ord_less_poly_a @t426) tptp.zero_zero_poly_a))))) % 0.43/0.85 (assume @p282 (forall @t285 (=> @t418 (=> @t417 @t427)))) % 0.43/0.85 (assume @p283 (forall @t230 (=> @t41 (=> @t421 @t428)))) % 0.43/0.85 (assume @p284 (forall @t281 (=> @t35 (=> @t424 @t429)))) % 0.43/0.85 (assume @p285 (forall @t285 (=> @t418 (=> @t432 @t433)))) % 0.43/0.85 (assume @p286 (forall @t230 (=> @t41 (=> @t430 @t434)))) % 0.43/0.85 (assume @p287 (forall @t281 (=> @t35 (=> @t431 @t435)))) % 0.43/0.85 (assume @p288 (forall @t285 (=> @t436 (=> @t417 @t433)))) % 0.43/0.85 (assume @p289 (forall @t230 (=> @t206 (=> @t421 @t434)))) % 0.43/0.85 (assume @p290 (forall @t281 (=> @t202 (=> @t424 @t435)))) % 0.43/0.85 (assume @p291 (forall @t230 (= @t434 (or (and @t41 @t430) (and @t206 @t421))))) % 0.43/0.85 (assume @p292 (forall @t281 (= @t435 (or (and @t35 @t431) (and @t202 @t424))))) % 0.43/0.85 (assume @p293 (forall @t444 (= @t443 @t439))) % 0.43/0.85 (assume @p294 (forall @t340 (= (_ @t248 @t446) (and (_ @t248 @t338) @t249)))) % 0.43/0.85 (assume @p295 (forall @t450 (= (_ (_ tptp.ord_less_nat @t449) @t448) @t439))) % 0.43/0.85 (assume @p296 (forall @t450 (= (= @t449 @t448) @t453))) % 0.43/0.85 (assume @p297 (forall @t250 (= @t337 @t249))) % 0.43/0.85 (assume @p298 (forall @t286 (= @t351 @t418))) % 0.43/0.85 (assume @p299 (forall @t340 (= (= @t446 tptp.zero_zero_nat) (or @t454 @t247)))) % 0.43/0.85 (assume @p300 (forall (@list @t338) (= (_ @t445 tptp.zero_zero_nat) tptp.zero_zero_nat))) % 0.43/0.85 (assume @p301 (forall @t444 (= @t455 @t453))) % 0.43/0.85 (assume @p302 (forall @t340 (= (= tptp.one_one_nat @t446) @t457))) % 0.43/0.85 (assume @p303 (forall @t340 (= (= @t446 tptp.one_one_nat) @t457))) % 0.43/0.85 (assume @p304 (forall @t250 (= (_ @t341 tptp.one_one_nat) @t247))) % 0.43/0.85 (assume @p305 (forall @t250 (= (_ @t288 @t246) @t246))) % 0.43/0.85 (assume @p306 (forall @t250 (= (_ @t447 tptp.one_one_nat) @t246))) % 0.43/0.85 (assume @p307 (forall (@list @t309 @t458) (=> (not (= @t309 @t458)) (=> (not (_ (_ tptp.ord_less_nat @t309) @t458)) (_ (_ tptp.ord_less_nat @t458) @t309))))) % 0.43/0.85 (assume @p308 (forall @t469 (=> (forall @t468 @t467) @t460))) % 0.43/0.85 (assume @p309 (forall @t469 (=> (forall @t468 (=> (forall @t465 (=> @t464 @t462)) @t466)) @t460))) % 0.43/0.85 (assume @p310 (forall @t250 (not (_ @t341 @t246)))) % 0.43/0.85 (assume @p311 (forall (@list @t471 @t470) (=> (_ (_ tptp.ord_less_nat @t471) @t470) (not (= @t471 @t470))))) % 0.43/0.85 (assume @p312 (forall (@list @t246 @t338) (=> @t473 @t472))) % 0.43/0.85 (assume @p313 (forall @t340 (= @t472 (or @t339 @t473)))) % 0.43/0.85 (assume @p314 (forall @t469 (=> (_ @t459 tptp.zero_zero_nat) (=> (forall @t468 (=> (_ @t248 @t463) @t467)) @t460)))) % 0.43/0.85 (assume @p315 (forall @t286 (not @t436))) % 0.43/0.85 (assume @p316 (forall @t477 (=> @t476 (=> @t438 (_ (_ tptp.ord_less_nat (_ (_ tptp.times_times_nat @t475) @t437)) (_ (_ tptp.times_times_nat @t474) @t437)))))) % 0.43/0.85 (assume @p317 (forall @t477 (=> @t476 (=> @t438 (_ (_ tptp.ord_less_nat (_ @t440 @t475)) (_ @t440 @t474)))))) % 0.43/0.85 (assume @p318 (forall @t250 (= (_ @t287 @t246) tptp.zero_zero_nat))) % 0.43/0.85 (assume @p319 (forall @t444 (=> @t438 (= @t455 @t452)))) % 0.43/0.85 (assume @p320 (forall @t444 (=> @t438 (= @t443 @t339)))) % 0.43/0.85 (assume @p321 (forall @t444 (= @t455 (or @t451 @t452)))) % 0.43/0.85 (assume @p322 (forall @t340 (=> (= @t338 @t446) (or @t456 @t454)))) % 0.43/0.85 (assume @p323 @t480) % 0.43/0.85 (assume @p324 true) % 0.43/0.85 (step @p325 (= tptp.v @t482) :rule refl :args (@t482)) % 0.43/0.85 (step @p326 (= tptp.is_zero_poly_a @t483) :rule refl :args (@t483)) % 0.43/0.85 (step @p327 (= tptp.is_zero_a @t484) :rule refl :args (@t484)) % 0.43/0.85 (step @p328 :rule eq-symm :args (@t490 @t494)) % 0.43/0.85 (step @p329 :rule refl :args ((tptp.append_a @t28 @t495))) % 0.43/0.85 (step @p330 :rule refl :args (@t496)) % 0.43/0.85 (step @p331 :rule refl :args (@t491)) % 0.43/0.85 (step @p332 :rule refl :args (tptp.zero_zero_a)) % 0.43/0.85 (step @p333 :rule cong :premises (@p332 @p331) :args (@t492)) % 0.43/0.85 (step @p334 :rule trans :premises (@p333 @p330)) % 0.43/0.85 (step @p335 :rule refl :args (@t493)) % 0.43/0.85 (step @p336 :rule cong :premises (@p335 @p334) :args (@t494)) % 0.43/0.85 (step @p337 :rule trans :premises (@p336 @p329)) % 0.43/0.85 (step @p338 :rule refl :args (tptp.append_a)) % 0.43/0.85 (step @p339 :rule ho_cong :premises (@p338 @p335)) % 0.43/0.85 (step @p340 :rule ho_cong :premises (@p339 @p334)) % 0.43/0.85 (step @p341 :rule cong :premises (@p340 @p337) :args ((= (_ (_ tptp.append_a @t493) @t492) @t494))) % 0.43/0.85 (step @p342 :rule symm :premises (@p341)) % 0.43/0.85 (step @p343 :rule refl :args (@t497)) % 0.43/0.85 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 0.43/0.85 (step @p345 :rule refl :args (@t26)) % 0.43/0.85 (step @p346 :rule ho_cong :premises (@p345 @p331)) % 0.43/0.85 (step @p347 :rule cong :premises (@p346 @p334) :args ((= (_ @t26 @t491) @t492))) % 0.43/0.85 (step @p348 :rule symm :premises (@p347)) % 0.43/0.85 (step @p349 :rule refl :args (@t495)) % 0.43/0.85 (step @p350 :rule eq_resolve :premises (@p349 @p348)) % 0.43/0.85 (step @p351 :rule refl :args (@t104)) % 0.43/0.85 (step @p352 :rule cong :premises (@p351 @p331) :args ((= @t104 @t491))) % 0.43/0.85 (step @p353 :rule symm :premises (@p352)) % 0.43/0.85 (step @p354 :rule eq_resolve :premises (@p351 @p353)) % 0.43/0.85 (step @p355 :rule refl :args (@t26)) % 0.43/0.85 (step @p356 :rule ho_cong :premises (@p355 @p354)) % 0.43/0.85 (step @p357 :rule trans :premises (@p356 @p350)) % 0.43/0.85 (step @p358 :rule refl :args (@t28)) % 0.43/0.85 (step @p359 :rule cong :premises (@p358 @p335) :args ((= @t28 @t493))) % 0.43/0.85 (step @p360 :rule symm :premises (@p359)) % 0.43/0.85 (step @p361 :rule eq_resolve :premises (@p358 @p360)) % 0.43/0.85 (step @p362 :rule refl :args (tptp.append_a)) % 0.43/0.85 (step @p363 :rule ho_cong :premises (@p362 @p361)) % 0.43/0.85 (step @p364 :rule ho_cong :premises (@p363 @p357)) % 0.43/0.85 (step @p365 :rule trans :premises (@p364 @p344)) % 0.43/0.85 (step @p366 :rule refl :args ((tptp.descar1375166517sums_a @t52))) % 0.43/0.85 (step @p367 :rule refl :args ((tptp.coeffs_a @t51))) % 0.43/0.85 (step @p368 :rule refl :args ((tptp.times_times_poly_a @t50 tptp.g))) % 0.43/0.85 (step @p369 :rule refl :args (tptp.g)) % 0.43/0.85 (step @p370 :rule refl :args ((tptp.pCons_a tptp.one_one_a @t48))) % 0.43/0.85 (step @p371 :rule refl :args ((tptp.pCons_a @t47 tptp.zero_zero_poly_a))) % 0.43/0.85 (step @p372 :rule refl :args (tptp.zero_zero_poly_a)) % 0.43/0.85 (step @p373 :rule refl :args (@t485)) % 0.43/0.85 (step @p374 :rule cong :premises (@p373 @p372) :args (@t486)) % 0.43/0.85 (step @p375 :rule trans :premises (@p374 @p371)) % 0.43/0.85 (step @p376 :rule refl :args (tptp.one_one_a)) % 0.43/0.85 (step @p377 :rule cong :premises (@p376 @p375) :args (@t487)) % 0.43/0.85 (step @p378 :rule trans :premises (@p377 @p370)) % 0.43/0.85 (step @p379 :rule cong :premises (@p378 @p369) :args (@t488)) % 0.43/0.85 (step @p380 :rule trans :premises (@p379 @p368)) % 0.43/0.85 (step @p381 :rule cong :premises (@p380) :args (@t489)) % 0.43/0.85 (step @p382 :rule trans :premises (@p381 @p367)) % 0.43/0.85 (step @p383 :rule cong :premises (@p382) :args (@t490)) % 0.43/0.85 (step @p384 :rule trans :premises (@p383 @p366)) % 0.43/0.85 (step @p385 :rule refl :args (tptp.descar1375166517sums_a)) % 0.43/0.85 (step @p386 :rule ho_cong :premises (@p385 @p382)) % 0.43/0.85 (step @p387 :rule cong :premises (@p386 @p384) :args ((= (_ tptp.descar1375166517sums_a @t489) @t490))) % 0.43/0.85 (step @p388 :rule symm :premises (@p387)) % 0.43/0.85 (step @p389 :rule refl :args (@t498)) % 0.43/0.85 (step @p390 :rule eq_resolve :premises (@p389 @p388)) % 0.43/0.85 (step @p391 :rule refl :args (tptp.coeffs_a)) % 0.43/0.85 (step @p392 :rule ho_cong :premises (@p391 @p380)) % 0.43/0.85 (step @p393 :rule cong :premises (@p392 @p382) :args ((= (_ tptp.coeffs_a @t488) @t489))) % 0.43/0.85 (step @p394 :rule symm :premises (@p393)) % 0.43/0.85 (step @p395 :rule refl :args (@t52)) % 0.43/0.85 (step @p396 :rule eq_resolve :premises (@p395 @p394)) % 0.43/0.85 (step @p397 :rule refl :args (tptp.times_times_poly_a)) % 0.43/0.85 (step @p398 :rule ho_cong :premises (@p397 @p378)) % 0.43/0.85 (step @p399 :rule ho_cong :premises (@p398 @p369)) % 0.43/0.85 (step @p400 :rule cong :premises (@p399 @p380) :args ((= (_ (_ tptp.times_times_poly_a @t487) tptp.g) @t488))) % 0.43/0.85 (step @p401 :rule symm :premises (@p400)) % 0.43/0.85 (step @p402 :rule refl :args (@t51)) % 0.43/0.85 (step @p403 :rule eq_resolve :premises (@p402 @p401)) % 0.43/0.85 (step @p404 :rule refl :args (tptp.g)) % 0.43/0.85 (step @p405 :rule refl :args (@t49)) % 0.43/0.85 (step @p406 :rule ho_cong :premises (@p405 @p375)) % 0.43/0.85 (step @p407 :rule cong :premises (@p406 @p378) :args ((= (_ @t49 @t486) @t487))) % 0.43/0.85 (step @p408 :rule symm :premises (@p407)) % 0.43/0.85 (step @p409 :rule refl :args (@t50)) % 0.43/0.85 (step @p410 :rule eq_resolve :premises (@p409 @p408)) % 0.43/0.85 (step @p411 :rule refl :args (tptp.pCons_a)) % 0.43/0.85 (step @p412 :rule ho_cong :premises (@p411 @p373)) % 0.43/0.85 (step @p413 :rule ho_cong :premises (@p412 @p372)) % 0.43/0.85 (step @p414 :rule cong :premises (@p413 @p375) :args ((= (_ (_ tptp.pCons_a @t485) tptp.zero_zero_poly_a) @t486))) % 0.43/0.85 (step @p415 :rule symm :premises (@p414)) % 0.43/0.85 (step @p416 :rule refl :args (@t48)) % 0.43/0.85 (step @p417 :rule eq_resolve :premises (@p416 @p415)) % 0.43/0.85 (step @p418 :rule refl :args (tptp.zero_zero_poly_a)) % 0.43/0.85 (step @p419 :rule refl :args (@t47)) % 0.43/0.85 (step @p420 :rule cong :premises (@p419 @p373) :args ((= @t47 @t485))) % 0.43/0.85 (step @p421 :rule symm :premises (@p420)) % 0.43/0.85 (step @p422 :rule eq_resolve :premises (@p419 @p421)) % 0.43/0.85 (step @p423 :rule refl :args (tptp.pCons_a)) % 0.43/0.85 (step @p424 :rule ho_cong :premises (@p423 @p422)) % 0.43/0.85 (step @p425 :rule ho_cong :premises (@p424 @p418)) % 0.43/0.85 (step @p426 :rule trans :premises (@p425 @p417)) % 0.43/0.85 (step @p427 :rule refl :args (@t49)) % 0.43/0.85 (step @p428 :rule ho_cong :premises (@p427 @p426)) % 0.43/0.85 (step @p429 :rule trans :premises (@p428 @p410)) % 0.43/0.85 (step @p430 :rule refl :args (tptp.times_times_poly_a)) % 0.43/0.85 (step @p431 :rule ho_cong :premises (@p430 @p429)) % 0.43/0.85 (step @p432 :rule ho_cong :premises (@p431 @p404)) % 0.43/0.85 (step @p433 :rule trans :premises (@p432 @p403)) % 0.43/0.85 (step @p434 :rule refl :args (tptp.coeffs_a)) % 0.43/0.85 (step @p435 :rule ho_cong :premises (@p434 @p433)) % 0.43/0.85 (step @p436 :rule trans :premises (@p435 @p396)) % 0.43/0.85 (step @p437 :rule refl :args (tptp.descar1375166517sums_a)) % 0.43/0.85 (step @p438 :rule ho_cong :premises (@p437 @p436)) % 0.43/0.85 (step @p439 :rule trans :premises (@p438 @p390)) % 0.43/0.85 (step @p440 :rule cong :premises (@p439 @p365) :args ((= @t498 @t497))) % 0.43/0.85 (step @p441 :rule trans :premises (@p440 @p328)) % 0.43/0.85 (step @p442 :rule symm :premises (@p53)) % 0.43/0.85 (step @p443 :rule ho_cong 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(@p664) :args ((or @t539 @t541 @t538 @t536 @t533))) % 0.43/0.85 (step @p666 false :rule chain_m_resolution :premises (@p665 @p619 @p565 @p509 @p485 @p450) :args (false (@list false false false true false) (@list @t532 @t535 @t537 @t539 @t540))) % 0.43/0.85 ) % 0.43/0.85 % SZS output end Proof % 0.43/0.85 % cvc5 exiting %------------------------------------------------------------------------------