%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT318+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:30:17 AM UTC 2026 % Result : Theorem 149.10s 149.33s % Output : Proof 127.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT318+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n023.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 06:26:58 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 149.10/149.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 149.10/149.33 --- Run --no-e-matching --full-saturate-quant at 6... % 149.10/149.33 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 149.10/149.33 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 149.10/149.33 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 149.10/149.33 --- Run --trigger-sel=max --full-saturate-quant at 15... % 149.10/149.33 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 149.10/149.33 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 149.10/149.33 --- Run --prenex-quant=none --full-saturate-quant at 30... % 149.10/149.33 % SZS status Theorem % 149.10/149.33 % SZS output start Proof % 149.10/149.33 ( % 149.10/149.33 (declare-sort $$unsorted 0) % 149.10/149.33 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.k20_filter_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.v1_realset1 (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.a_3_0_filter_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.r1_filter_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.k19_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.k1_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.k3_filter_0 (-> $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.k4_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.k2_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.k5_filter_0 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.k3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.k1_xboole_0 $$unsorted) % 149.10/149.33 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.k3_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.k1_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.k2_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.k2_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.k7_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 149.10/149.33 (declare-const tptp.k8_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.a_3_0_filter_0 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.k4_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.k15_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 149.10/149.33 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 149.10/149.33 (define @t1 () (@var "C" $$unsorted)) % 149.10/149.33 (define @t2 () (@var "B" $$unsorted)) % 149.10/149.33 (define @t3 () (@var "A" $$unsorted)) % 149.10/149.33 (define @t4 () (tptp.k20_filter_2 @t3 @t2 @t1)) % 149.10/149.33 (define @t5 () (tptp.u1_struct_0 @t3)) % 149.10/149.33 (define @t6 () (tptp.k4_subset_1 @t5 @t2 @t1)) % 149.10/149.33 (define @t7 () (tptp.r1_filter_2 @t5 (tptp.k19_filter_2 @t3 @t6) (tptp.k19_filter_2 @t3 @t4))) % 149.10/149.33 (define @t8 () (tptp.m2_filter_2 @t1 @t3)) % 149.10/149.33 (define @t9 () (@list @t1)) % 149.10/149.33 (define @t10 () (forall @t9 (=> @t8 @t7))) % 149.10/149.33 (define @t11 () (tptp.m2_filter_2 @t2 @t3)) % 149.10/149.33 (define @t12 () (=> @t11 @t10)) % 149.10/149.33 (define @t13 () (@list @t2)) % 149.10/149.33 (define @t14 () (forall @t13 @t12)) % 149.10/149.33 (define @t15 () (tptp.l3_lattices @t3)) % 149.10/149.33 (define @t16 () (tptp.v10_lattices @t3)) % 149.10/149.33 (define @t17 () (tptp.v3_struct_0 @t3)) % 149.10/149.33 (define @t18 () (not @t17)) % 149.10/149.33 (define @t19 () (and @t18 @t16 @t15)) % 149.10/149.33 (define @t20 () (=> @t19 @t14)) % 149.10/149.33 (define @t21 () (@list @t3)) % 149.10/149.33 (define @t22 () (forall @t21 @t20)) % 149.10/149.33 (define @t23 () (not @t22)) % 149.10/149.33 (define @t24 () (tptp.u1_lattices @t3)) % 149.10/149.33 (define @t25 () (tptp.u2_lattices @t3)) % 149.10/149.33 (define @t26 () (= @t3 (tptp.g3_lattices @t5 @t25 @t24))) % 149.10/149.33 (define @t27 () (tptp.v3_lattices @t3)) % 149.10/149.33 (define @t28 () (=> @t27 @t26)) % 149.10/149.33 (define @t29 () (forall @t21 (=> @t15 @t28))) % 149.10/149.33 (define @t30 () (tptp.r2_hidden @t3 @t2)) % 149.10/149.33 (define @t31 () (@list @t3 @t2)) % 149.10/149.33 (define @t32 () (tptp.v1_funct_1 @t3)) % 149.10/149.33 (define @t33 () (tptp.v1_xboole_0 @t3)) % 149.10/149.33 (define @t34 () (tptp.v9_lattices @t3)) % 149.10/149.33 (define @t35 () (tptp.v8_lattices @t3)) % 149.10/149.33 (define @t36 () (tptp.v7_lattices @t3)) % 149.10/149.33 (define @t37 () (tptp.v6_lattices @t3)) % 149.10/149.33 (define @t38 () (tptp.v5_lattices @t3)) % 149.10/149.33 (define @t39 () (tptp.v4_lattices @t3)) % 149.10/149.33 (define @t40 () (and @t18 @t39 @t38 @t37 @t36 @t35 @t34)) % 149.10/149.33 (define @t41 () (and @t18 @t16)) % 149.10/149.33 (define @t42 () (not @t33)) % 149.10/149.33 (define @t43 () (tptp.v1_realset1 @t3)) % 149.10/149.33 (define @t44 () (not @t43)) % 149.10/149.33 (define @t45 () (tptp.k2_zfmisc_1 @t3 @t2)) % 149.10/149.33 (define @t46 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t45))) % 149.10/149.33 (define @t47 () (@list @t3 @t2 @t1)) % 149.10/149.33 (define @t48 () (tptp.v1_relat_1 @t3)) % 149.10/149.33 (define @t49 () (and @t48 @t32 (tptp.v2_funct_1 @t3))) % 149.10/149.33 (define @t50 () (and @t48 @t33 @t32)) % 149.10/149.33 (define @t51 () (tptp.k2_tarski @t3 @t2)) % 149.10/149.33 (define @t52 () (tptp.k2_xboole_0 @t2 @t3)) % 149.10/149.33 (define @t53 () (tptp.k2_xboole_0 @t3 @t2)) % 149.10/149.33 (define @t54 () (tptp.k3_lattices @t3 @t2 @t1)) % 149.10/149.33 (define @t55 () (tptp.m1_subset_1 @t1 @t5)) % 149.10/149.33 (define @t56 () (tptp.m1_subset_1 @t2 @t5)) % 149.10/149.33 (define @t57 () (tptp.l2_lattices @t3)) % 149.10/149.33 (define @t58 () (and @t18 @t39 @t57 @t56 @t55)) % 149.10/149.33 (define @t59 () (tptp.k4_lattices @t3 @t2 @t1)) % 149.10/149.33 (define @t60 () (tptp.l1_lattices @t3)) % 149.10/149.33 (define @t61 () (and @t18 @t37 @t60 @t56 @t55)) % 149.10/149.33 (define @t62 () (tptp.k4_subset_1 @t3 @t2 @t1)) % 149.10/149.33 (define @t63 () (tptp.k1_zfmisc_1 @t3)) % 149.10/149.33 (define @t64 () (tptp.m1_subset_1 @t1 @t63)) % 149.10/149.33 (define @t65 () (tptp.m1_subset_1 @t2 @t63)) % 149.10/149.33 (define @t66 () (and @t65 @t64)) % 149.10/149.33 (define @t67 () (tptp.k1_zfmisc_1 @t5)) % 149.10/149.33 (define @t68 () (tptp.m1_subset_1 @t1 @t67)) % 149.10/149.33 (define @t69 () (tptp.v1_xboole_0 @t1)) % 149.10/149.33 (define @t70 () (not @t69)) % 149.10/149.33 (define @t71 () (and @t70 @t68)) % 149.10/149.33 (define @t72 () (tptp.m1_subset_1 @t2 @t67)) % 149.10/149.33 (define @t73 () (tptp.v1_xboole_0 @t2)) % 149.10/149.33 (define @t74 () (not @t73)) % 149.10/149.33 (define @t75 () (and @t74 @t72)) % 149.10/149.33 (define @t76 () (and @t48 @t32)) % 149.10/149.33 (define @t77 () (tptp.k1_lattices @t3 @t2 @t1)) % 149.10/149.33 (define @t78 () (tptp.k1_lattice2 @t3)) % 149.10/149.33 (define @t79 () (= @t78 (tptp.g3_lattices @t5 @t24 @t25))) % 149.10/149.33 (define @t80 () (forall @t21 (=> @t15 @t79))) % 149.10/149.33 (define @t81 () (tptp.k2_lattices @t3 @t2 @t1)) % 149.10/149.33 (define @t82 () (tptp.k1_tarski @t3)) % 149.10/149.33 (define @t83 () (tptp.k7_filter_2 @t3 @t2)) % 149.10/149.33 (define @t84 () (=> @t72 (= @t83 @t2))) % 149.10/149.33 (define @t85 () (forall @t13 @t84)) % 149.10/149.33 (define @t86 () (=> @t19 @t85)) % 149.10/149.33 (define @t87 () (forall @t21 @t86)) % 149.10/149.33 (define @t88 () (tptp.k8_filter_2 @t3 @t2)) % 149.10/149.33 (define @t89 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t78))) % 149.10/149.33 (define @t90 () (tptp.m1_subset_1 @t2 @t89)) % 149.10/149.33 (define @t91 () (=> @t90 (= @t88 @t2))) % 149.10/149.33 (define @t92 () (forall @t13 @t91)) % 149.10/149.33 (define @t93 () (=> @t19 @t92)) % 149.10/149.33 (define @t94 () (forall @t21 @t93)) % 149.10/149.33 (define @t95 () (tptp.k5_filter_0 @t3 @t2 @t1)) % 149.10/149.33 (define @t96 () (tptp.g3_lattices @t3 @t2 @t1)) % 149.10/149.33 (define @t97 () (tptp.v3_lattices @t96)) % 149.10/149.33 (define @t98 () (tptp.k2_zfmisc_1 @t3 @t3)) % 149.10/149.33 (define @t99 () (tptp.m1_relset_1 @t1 @t98 @t3)) % 149.10/149.33 (define @t100 () (tptp.v1_funct_2 @t1 @t98 @t3)) % 149.10/149.33 (define @t101 () (tptp.v1_funct_1 @t1)) % 149.10/149.33 (define @t102 () (tptp.m1_relset_1 @t2 @t98 @t3)) % 149.10/149.33 (define @t103 () (tptp.v1_funct_2 @t2 @t98 @t3)) % 149.10/149.33 (define @t104 () (tptp.v1_funct_1 @t2)) % 149.10/149.33 (define @t105 () (and @t104 @t103 @t102 @t101 @t100 @t99)) % 149.10/149.33 (define @t106 () (tptp.k15_filter_2 @t3 @t2)) % 149.10/149.33 (define @t107 () (tptp.m1_filter_2 @t106 @t78)) % 149.10/149.33 (define @t108 () (and @t18 @t16 @t15 @t11)) % 149.10/149.33 (define @t109 () (forall @t31 (=> @t108 @t107))) % 149.10/149.33 (define @t110 () (tptp.k19_filter_2 @t3 @t2)) % 149.10/149.33 (define @t111 () (tptp.m2_filter_2 @t110 @t3)) % 149.10/149.33 (define @t112 () (and @t18 @t16 @t15 @t74 @t72)) % 149.10/149.33 (define @t113 () (forall @t31 (=> @t112 @t111))) % 149.10/149.33 (define @t114 () (tptp.v3_lattices @t78)) % 149.10/149.33 (define @t115 () (and @t114 (tptp.l3_lattices @t78))) % 149.10/149.33 (define @t116 () (forall @t21 (=> @t15 @t115))) % 149.10/149.33 (define @t117 () (tptp.m1_subset_1 @t4 @t67)) % 149.10/149.33 (define @t118 () (and @t18 @t16 @t15 @t74 @t72 @t70 @t68)) % 149.10/149.33 (define @t119 () (forall @t47 (=> @t118 @t117))) % 149.10/149.33 (define @t120 () (@var "F" $$unsorted)) % 149.10/149.33 (define @t121 () (@var "E" $$unsorted)) % 149.10/149.33 (define @t122 () (@var "D" $$unsorted)) % 149.10/149.33 (define @t123 () (tptp.k2_binop_1 @t3 @t2 @t1 @t122 @t121 @t120)) % 149.10/149.33 (define @t124 () (and @t42 @t74 (tptp.v1_funct_1 @t122) (tptp.v1_funct_2 @t122 @t45 @t1) (tptp.m1_relset_1 @t122 @t45 @t1) (tptp.m1_subset_1 @t121 @t3) (tptp.m1_subset_1 @t120 @t2))) % 149.10/149.33 (define @t125 () (@list @t3 @t2 @t1 @t122 @t121 @t120)) % 149.10/149.33 (define @t126 () (tptp.k3_filter_0 @t3 @t2)) % 149.10/149.33 (define @t127 () (tptp.k3_filter_2 @t3 @t2)) % 149.10/149.33 (define @t128 () (tptp.m1_subset_1 @t62 @t63)) % 149.10/149.33 (define @t129 () (forall @t47 (=> @t66 @t128))) % 149.10/149.33 (define @t130 () (tptp.m1_subset_1 @t83 @t89)) % 149.10/149.33 (define @t131 () (and @t18 @t16 @t15 @t72)) % 149.10/149.33 (define @t132 () (forall @t31 (=> @t131 @t130))) % 149.10/149.33 (define @t133 () (tptp.l1_struct_0 @t3)) % 149.10/149.33 (define @t134 () (forall @t21 (=> @t60 @t133))) % 149.10/149.33 (define @t135 () (and @t60 @t57)) % 149.10/149.33 (define @t136 () (forall @t21 (=> @t15 @t135))) % 149.10/149.33 (define @t137 () (tptp.m1_filter_0 @t2 @t3)) % 149.10/149.33 (define @t138 () (tptp.m2_lattice4 @t2 @t3)) % 149.10/149.33 (define @t139 () (and @t74 @t138)) % 149.10/149.33 (define @t140 () (tptp.m1_filter_2 @t2 @t3)) % 149.10/149.33 (define @t141 () (forall @t13 (=> @t11 @t139))) % 149.10/149.33 (define @t142 () (=> @t19 @t141)) % 149.10/149.33 (define @t143 () (forall @t21 @t142)) % 149.10/149.33 (define @t144 () (forall @t13 (=> @t138 @t72))) % 149.10/149.33 (define @t145 () (=> @t19 @t144)) % 149.10/149.33 (define @t146 () (forall @t21 @t145)) % 149.10/149.33 (define @t147 () (tptp.m2_relset_1 @t1 @t3 @t2)) % 149.10/149.33 (define @t148 () (tptp.k2_zfmisc_1 @t5 @t5)) % 149.10/149.33 (define @t149 () (tptp.v1_funct_2 @t24 @t148 @t5)) % 149.10/149.33 (define @t150 () (tptp.v1_funct_1 @t24)) % 149.10/149.33 (define @t151 () (and @t150 @t149 (tptp.m2_relset_1 @t24 @t148 @t5))) % 149.10/149.33 (define @t152 () (forall @t21 (=> @t60 @t151))) % 149.10/149.33 (define @t153 () (tptp.v1_funct_2 @t25 @t148 @t5)) % 149.10/149.33 (define @t154 () (tptp.v1_funct_1 @t25)) % 149.10/149.33 (define @t155 () (and @t154 @t153 (tptp.m2_relset_1 @t25 @t148 @t5))) % 149.10/149.33 (define @t156 () (forall @t21 (=> @t57 @t155))) % 149.10/149.33 (define @t157 () (tptp.m1_relset_1 @t1 @t3 @t2)) % 149.10/149.33 (define @t158 () (not (tptp.v3_struct_0 @t78))) % 149.10/149.33 (define @t159 () (and @t158 @t114)) % 149.10/149.33 (define @t160 () (and @t18 @t15)) % 149.10/149.33 (define @t161 () (forall @t21 (=> @t160 @t159))) % 149.10/149.33 (define @t162 () (not (tptp.v1_xboole_0 @t5))) % 149.10/149.33 (define @t163 () (and @t18 @t133)) % 149.10/149.33 (define @t164 () (forall @t21 (=> @t163 @t162))) % 149.10/149.33 (define @t165 () (tptp.v1_partfun1 @t25 @t148 @t5)) % 149.10/149.33 (define @t166 () (tptp.v1_relat_1 @t25)) % 149.10/149.33 (define @t167 () (not (tptp.v1_xboole_0 @t82))) % 149.10/149.33 (define @t168 () (not (tptp.v1_xboole_0 @t53))) % 149.10/149.33 (define @t169 () (forall @t31 (=> @t42 @t168))) % 149.10/149.33 (define @t170 () (not (tptp.v1_xboole_0 @t4))) % 149.10/149.33 (define @t171 () (forall @t47 (=> @t118 @t170))) % 149.10/149.33 (define @t172 () (tptp.v1_partfun1 @t24 @t148 @t5)) % 149.10/149.33 (define @t173 () (tptp.v1_relat_1 @t24)) % 149.10/149.33 (define @t174 () (and @t158 @t114 (tptp.v4_lattices @t78) (tptp.v5_lattices @t78) (tptp.v6_lattices @t78) (tptp.v7_lattices @t78) (tptp.v8_lattices @t78) (tptp.v9_lattices @t78) (tptp.v10_lattices @t78))) % 149.10/149.33 (define @t175 () (forall @t21 (=> @t19 @t174))) % 149.10/149.33 (define @t176 () (tptp.r2_hidden @t120 @t122)) % 149.10/149.33 (define @t177 () (tptp.r2_hidden @t121 @t1)) % 149.10/149.33 (define @t178 () (tptp.u1_struct_0 @t2)) % 149.10/149.33 (define @t179 () (tptp.m1_subset_1 @t120 @t178)) % 149.10/149.33 (define @t180 () (tptp.m1_subset_1 @t121 @t178)) % 149.10/149.33 (define @t181 () (@list @t121 @t120)) % 149.10/149.33 (define @t182 () (tptp.k1_zfmisc_1 @t178)) % 149.10/149.33 (define @t183 () (tptp.v1_xboole_0 @t122)) % 149.10/149.33 (define @t184 () (not @t183)) % 149.10/149.33 (define @t185 () (and (not (tptp.v3_struct_0 @t2)) (tptp.v10_lattices @t2) (tptp.l3_lattices @t2) @t70 (tptp.m1_subset_1 @t1 @t182) @t184 (tptp.m1_subset_1 @t122 @t182))) % 149.10/149.33 (define @t186 () (@list @t3 @t2 @t1 @t122)) % 149.10/149.33 (define @t187 () (and (= @t3 @t122) (= @t2 @t121) (= @t1 @t120))) % 149.10/149.33 (define @t188 () (tptp.g3_lattices @t122 @t121 @t120)) % 149.10/149.33 (define @t189 () (= @t96 @t188)) % 149.10/149.33 (define @t190 () (@list @t122 @t121 @t120)) % 149.10/149.33 (define @t191 () (forall @t190 (=> @t189 @t187))) % 149.10/149.33 (define @t192 () (=> @t105 @t191)) % 149.10/149.33 (define @t193 () (forall @t47 @t192)) % 149.10/149.33 (define @t194 () (and @t138 @t74)) % 149.10/149.33 (define @t195 () (exists @t13 @t194)) % 149.10/149.33 (define @t196 () (=> @t19 @t195)) % 149.10/149.33 (define @t197 () (forall @t21 @t196)) % 149.10/149.33 (define @t198 () (=> @t108 (= @t106 @t83))) % 149.10/149.33 (define @t199 () (forall @t31 @t198)) % 149.10/149.33 (define @t200 () (=> @t112 (= @t127 @t126))) % 149.10/149.33 (define @t201 () (forall @t31 @t200)) % 149.10/149.33 (define @t202 () (= @t62 (tptp.k2_xboole_0 @t2 @t1))) % 149.10/149.33 (define @t203 () (forall @t47 (=> @t66 @t202))) % 149.10/149.33 (define @t204 () (forall @t13 (= @t140 @t137))) % 149.10/149.33 (define @t205 () (=> @t19 @t204)) % 149.10/149.33 (define @t206 () (forall @t21 @t205)) % 149.10/149.33 (define @t207 () (tptp.r1_filter_2 @t3 @t2 @t1)) % 149.10/149.33 (define @t208 () (= @t207 (= @t2 @t1))) % 149.10/149.33 (define @t209 () (and @t42 @t65 @t64)) % 149.10/149.33 (define @t210 () (forall @t47 (=> @t209 @t208))) % 149.10/149.33 (define @t211 () (tptp.m1_subset_1 @t3 @t2)) % 149.10/149.33 (define @t212 () (= @t3 @t2)) % 149.10/149.33 (define @t213 () (tptp.k8_filter_2 @t3 @t1)) % 149.10/149.33 (define @t214 () (= (tptp.k3_filter_2 @t78 @t1) (tptp.k19_filter_2 @t3 @t213))) % 149.10/149.33 (define @t215 () (= (tptp.k3_filter_2 @t3 @t213) (tptp.k19_filter_2 @t78 @t1))) % 149.10/149.33 (define @t216 () (= @t127 (tptp.k19_filter_2 @t78 @t83))) % 149.10/149.33 (define @t217 () (tptp.k3_filter_2 @t78 @t83)) % 149.10/149.33 (define @t218 () (and (= @t217 @t110) @t216 @t215 @t214)) % 149.10/149.33 (define @t219 () (tptp.m1_subset_1 @t1 @t89)) % 149.10/149.33 (define @t220 () (and @t70 @t219)) % 149.10/149.33 (define @t221 () (=> @t220 @t218)) % 149.10/149.33 (define @t222 () (forall @t9 @t221)) % 149.10/149.33 (define @t223 () (=> @t75 @t222)) % 149.10/149.33 (define @t224 () (forall @t13 @t223)) % 149.10/149.33 (define @t225 () (=> @t19 @t224)) % 149.10/149.33 (define @t226 () (forall @t21 @t225)) % 149.10/149.33 (define @t227 () (tptp.k8_filter_2 @t3 @t121)) % 149.10/149.33 (define @t228 () (tptp.k8_filter_2 @t3 @t122)) % 149.10/149.33 (define @t229 () (= (tptp.k20_filter_2 @t3 @t228 @t227) (tptp.k5_filter_0 @t78 @t122 @t121))) % 149.10/149.33 (define @t230 () (= (tptp.k20_filter_2 @t78 @t122 @t121) (tptp.k5_filter_0 @t3 @t228 @t227))) % 149.10/149.33 (define @t231 () (tptp.k7_filter_2 @t3 @t1)) % 149.10/149.33 (define @t232 () (tptp.k20_filter_2 @t78 @t83 @t231)) % 149.10/149.33 (define @t233 () (= @t4 (tptp.k5_filter_0 @t78 @t83 @t231))) % 149.10/149.33 (define @t234 () (and @t233 (= @t232 @t95) @t230 @t229)) % 149.10/149.33 (define @t235 () (tptp.m1_subset_1 @t121 @t89)) % 149.10/149.33 (define @t236 () (tptp.v1_xboole_0 @t121)) % 149.10/149.33 (define @t237 () (not @t236)) % 149.10/149.33 (define @t238 () (and @t237 @t235)) % 149.10/149.33 (define @t239 () (=> @t238 @t234)) % 149.10/149.33 (define @t240 () (@list @t121)) % 149.10/149.33 (define @t241 () (forall @t240 @t239)) % 149.10/149.33 (define @t242 () (tptp.m1_subset_1 @t122 @t89)) % 149.10/149.33 (define @t243 () (and @t184 @t242)) % 149.10/149.33 (define @t244 () (=> @t243 @t241)) % 149.10/149.33 (define @t245 () (@list @t122)) % 149.10/149.33 (define @t246 () (forall @t245 @t244)) % 149.10/149.33 (define @t247 () (=> @t71 @t246)) % 149.10/149.33 (define @t248 () (forall @t9 @t247)) % 149.10/149.33 (define @t249 () (=> @t75 @t248)) % 149.10/149.33 (define @t250 () (forall @t13 @t249)) % 149.10/149.33 (define @t251 () (=> @t19 @t250)) % 149.10/149.33 (define @t252 () (forall @t21 @t251)) % 149.10/149.33 (define @t253 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1))) % 149.10/149.33 (define @t254 () (= (tptp.k3_filter_0 @t3 @t6) (tptp.k3_filter_0 @t3 @t95))) % 149.10/149.33 (define @t255 () (tptp.m1_filter_0 @t1 @t3)) % 149.10/149.33 (define @t256 () (forall @t9 (=> @t255 @t254))) % 149.10/149.33 (define @t257 () (=> @t137 @t256)) % 149.10/149.33 (define @t258 () (forall @t13 @t257)) % 149.10/149.33 (define @t259 () (=> @t19 @t258)) % 149.10/149.33 (define @t260 () (forall @t21 @t259)) % 149.10/149.33 (define @t261 () (forall @t9 (or (not @t8) @t7))) % 149.10/149.33 (define @t262 () (not @t11)) % 149.10/149.33 (define @t263 () (forall @t13 (or @t262 @t261))) % 149.10/149.33 (define @t264 () (not @t15)) % 149.10/149.33 (define @t265 () (not @t16)) % 149.10/149.33 (define @t266 () (or @t17 @t265 @t264 @t263)) % 149.10/149.33 (define @t267 () (@quantifiers_skolemize (forall @t21 @t266) 0)) % 149.10/149.33 (define @t268 () (@list @t267)) % 149.10/149.33 (define @t269 () (or @t17 @t265 @t264)) % 149.10/149.33 (define @t270 () (not @t18)) % 149.10/149.33 (define @t271 () (or @t270 @t265 @t264)) % 149.10/149.33 (define @t272 () (not @t19)) % 149.10/149.33 (define @t273 () (tptp.l3_lattices @t267)) % 149.10/149.33 (define @t274 () (tptp.k20_filter_2 @t267 @t2 @t1)) % 149.10/149.33 (define @t275 () (tptp.u1_struct_0 @t267)) % 149.10/149.33 (define @t276 () (not (tptp.m2_filter_2 @t1 @t267))) % 149.10/149.33 (define @t277 () (not (tptp.m2_filter_2 @t2 @t267))) % 149.10/149.33 (define @t278 () (forall @t13 (or @t277 (forall @t9 (or @t276 (tptp.r1_filter_2 @t275 (tptp.k19_filter_2 @t267 (tptp.k4_subset_1 @t275 @t2 @t1)) (tptp.k19_filter_2 @t267 @t274))))))) % 149.10/149.33 (define @t279 () (not @t273)) % 149.10/149.33 (define @t280 () (tptp.v10_lattices @t267)) % 149.10/149.33 (define @t281 () (not @t280)) % 149.10/149.33 (define @t282 () (tptp.v3_struct_0 @t267)) % 149.10/149.33 (define @t283 () (or @t282 @t281 @t279 @t278)) % 149.10/149.33 (define @t284 () (@list true)) % 149.10/149.33 (define @t285 () (@list @t283)) % 149.10/149.33 (define @t286 () (tptp.u2_lattices @t267)) % 149.10/149.33 (define @t287 () (tptp.u1_lattices @t267)) % 149.10/149.33 (define @t288 () (tptp.g3_lattices @t275 @t287 @t286)) % 149.10/149.33 (define @t289 () (tptp.k1_lattice2 @t267)) % 149.10/149.33 (define @t290 () (= @t289 @t288)) % 149.10/149.33 (define @t291 () (or @t279 @t290)) % 149.10/149.33 (define @t292 () (@list false false)) % 149.10/149.33 (define @t293 () (= @t83 @t106)) % 149.10/149.33 (define @t294 () (or @t17 @t265 @t264 @t262 @t293)) % 149.10/149.33 (define @t295 () (or @t17 @t265 @t264 @t262)) % 149.10/149.33 (define @t296 () (or @t270 @t265 @t264 @t262)) % 149.10/149.33 (define @t297 () (not @t108)) % 149.10/149.33 (define @t298 () (@quantifiers_skolemize @t278 0)) % 149.10/149.33 (define @t299 () (tptp.k7_filter_2 @t267 @t298)) % 149.10/149.33 (define @t300 () (tptp.k15_filter_2 @t267 @t298)) % 149.10/149.33 (define @t301 () (tptp.m2_filter_2 @t298 @t267)) % 149.10/149.33 (define @t302 () (not @t301)) % 149.10/149.33 (define @t303 () (or @t282 @t281 @t279 @t302 (= @t299 @t300))) % 149.10/149.33 (define @t304 () (forall @t31 @t294)) % 149.10/149.33 (define @t305 () (@list @t267 @t298)) % 149.10/149.33 (define @t306 () (= @t300 @t299)) % 149.10/149.33 (define @t307 () (or @t282 @t281 @t279 @t302 @t306)) % 149.10/149.33 (define @t308 () (@list false)) % 149.10/149.33 (define @t309 () (@list @t304)) % 149.10/149.33 (define @t310 () (forall @t9 (or @t276 (tptp.r1_filter_2 @t275 (tptp.k19_filter_2 @t267 (tptp.k4_subset_1 @t275 @t298 @t1)) (tptp.k19_filter_2 @t267 (tptp.k20_filter_2 @t267 @t298 @t1)))))) % 149.10/149.33 (define @t311 () (or @t302 @t310)) % 149.10/149.33 (define @t312 () (@list @t311)) % 149.10/149.33 (define @t313 () (@list true false false false false)) % 149.10/149.33 (define @t314 () (@quantifiers_skolemize @t310 0)) % 149.10/149.33 (define @t315 () (tptp.k7_filter_2 @t267 @t314)) % 149.10/149.33 (define @t316 () (tptp.k15_filter_2 @t267 @t314)) % 149.10/149.33 (define @t317 () (tptp.m2_filter_2 @t314 @t267)) % 149.10/149.33 (define @t318 () (not @t317)) % 149.10/149.33 (define @t319 () (or @t282 @t281 @t279 @t318 (= @t315 @t316))) % 149.10/149.33 (define @t320 () (@list @t267 @t314)) % 149.10/149.33 (define @t321 () (= @t316 @t315)) % 149.10/149.33 (define @t322 () (or @t282 @t281 @t279 @t318 @t321)) % 149.10/149.33 (define @t323 () (tptp.k20_filter_2 @t267 @t298 @t314)) % 149.10/149.33 (define @t324 () (tptp.k19_filter_2 @t267 @t323)) % 149.10/149.33 (define @t325 () (tptp.k4_subset_1 @t275 @t298 @t314)) % 149.10/149.33 (define @t326 () (tptp.k19_filter_2 @t267 @t325)) % 149.10/149.33 (define @t327 () (tptp.r1_filter_2 @t275 @t326 @t324)) % 149.10/149.33 (define @t328 () (or @t318 @t327)) % 149.10/149.33 (define @t329 () (@list @t328)) % 149.10/149.33 (define @t330 () (= @t2 @t83)) % 149.10/149.33 (define @t331 () (not @t72)) % 149.10/149.33 (define @t332 () (forall @t13 (or @t331 @t330))) % 149.10/149.33 (define @t333 () (tptp.k7_filter_2 @t267 @t2)) % 149.10/149.33 (define @t334 () (tptp.k1_zfmisc_1 @t275)) % 149.10/149.33 (define @t335 () (tptp.m1_subset_1 @t2 @t334)) % 149.10/149.33 (define @t336 () (not @t335)) % 149.10/149.33 (define @t337 () (forall @t13 (or @t336 (= @t2 @t333)))) % 149.10/149.33 (define @t338 () (or @t282 @t281 @t279 @t337)) % 149.10/149.33 (define @t339 () (@list true false false false)) % 149.10/149.33 (define @t340 () (@list @t298)) % 149.10/149.33 (define @t341 () (not @t138)) % 149.10/149.33 (define @t342 () (forall @t13 (or @t341 @t72))) % 149.10/149.33 (define @t343 () (tptp.m2_lattice4 @t2 @t267)) % 149.10/149.33 (define @t344 () (not @t343)) % 149.10/149.33 (define @t345 () (forall @t13 (or @t344 @t335))) % 149.10/149.33 (define @t346 () (or @t282 @t281 @t279 @t345)) % 149.10/149.33 (define @t347 () (forall @t13 (or @t262 @t139))) % 149.10/149.33 (define @t348 () (forall @t13 (or @t277 (and @t74 @t343)))) % 149.10/149.33 (define @t349 () (or @t282 @t281 @t279 @t348)) % 149.10/149.33 (define @t350 () (tptp.m2_lattice4 @t298 @t267)) % 149.10/149.33 (define @t351 () (tptp.v1_xboole_0 @t298)) % 149.10/149.33 (define @t352 () (not @t351)) % 149.10/149.33 (define @t353 () (and @t352 @t350)) % 149.10/149.33 (define @t354 () (or @t302 @t353)) % 149.10/149.33 (define @t355 () (not @t353)) % 149.10/149.33 (define @t356 () (@list @t353)) % 149.10/149.33 (define @t357 () (tptp.m1_subset_1 @t298 @t334)) % 149.10/149.33 (define @t358 () (not @t350)) % 149.10/149.33 (define @t359 () (or @t358 @t357)) % 149.10/149.33 (define @t360 () (= @t298 @t299)) % 149.10/149.33 (define @t361 () (not @t357)) % 149.10/149.33 (define @t362 () (or @t361 @t360)) % 149.10/149.33 (define @t363 () (@list @t314)) % 149.10/149.33 (define @t364 () (tptp.m2_lattice4 @t314 @t267)) % 149.10/149.33 (define @t365 () (tptp.v1_xboole_0 @t314)) % 149.10/149.33 (define @t366 () (not @t365)) % 149.10/149.33 (define @t367 () (and @t366 @t364)) % 149.10/149.33 (define @t368 () (or @t318 @t367)) % 149.10/149.33 (define @t369 () (not @t367)) % 149.10/149.33 (define @t370 () (@list @t367)) % 149.10/149.33 (define @t371 () (tptp.m1_subset_1 @t314 @t334)) % 149.10/149.33 (define @t372 () (not @t364)) % 149.10/149.33 (define @t373 () (or @t372 @t371)) % 149.10/149.33 (define @t374 () (= @t314 @t315)) % 149.10/149.33 (define @t375 () (not @t371)) % 149.10/149.33 (define @t376 () (or @t375 @t374)) % 149.10/149.33 (define @t377 () (@list @t325)) % 149.10/149.33 (define @t378 () (not @t64)) % 149.10/149.33 (define @t379 () (not @t65)) % 149.10/149.33 (define @t380 () (or @t379 @t378)) % 149.10/149.33 (define @t381 () (not @t66)) % 149.10/149.33 (define @t382 () (@list @t275 @t298 @t314)) % 149.10/149.33 (define @t383 () (tptp.m1_subset_1 @t325 @t334)) % 149.10/149.33 (define @t384 () (or @t361 @t375 @t383)) % 149.10/149.33 (define @t385 () (@list false false false)) % 149.10/149.33 (define @t386 () (tptp.k7_filter_2 @t267 @t325)) % 149.10/149.33 (define @t387 () (= @t325 @t386)) % 149.10/149.33 (define @t388 () (not @t383)) % 149.10/149.33 (define @t389 () (or @t388 @t387)) % 149.10/149.33 (define @t390 () (and (= @t110 @t217) @t216 @t215 @t214)) % 149.10/149.33 (define @t391 () (not @t219)) % 149.10/149.33 (define @t392 () (or @t69 @t391 @t390)) % 149.10/149.33 (define @t393 () (forall @t9 @t392)) % 149.10/149.33 (define @t394 () (or @t73 @t331 @t393)) % 149.10/149.33 (define @t395 () (forall @t13 @t394)) % 149.10/149.33 (define @t396 () (or @t73 @t331)) % 149.10/149.33 (define @t397 () (not @t74)) % 149.10/149.33 (define @t398 () (or @t397 @t331)) % 149.10/149.33 (define @t399 () (not @t75)) % 149.10/149.33 (define @t400 () (not @t70)) % 149.10/149.33 (define @t401 () (tptp.k8_filter_2 @t267 @t1)) % 149.10/149.33 (define @t402 () (= (tptp.k3_filter_2 @t289 @t1) (tptp.k19_filter_2 @t267 @t401))) % 149.10/149.33 (define @t403 () (= (tptp.k3_filter_2 @t267 @t401) (tptp.k19_filter_2 @t289 @t1))) % 149.10/149.33 (define @t404 () (tptp.u1_struct_0 @t289)) % 149.10/149.33 (define @t405 () (tptp.k1_zfmisc_1 @t404)) % 149.10/149.33 (define @t406 () (not (tptp.m1_subset_1 @t1 @t405))) % 149.10/149.33 (define @t407 () (forall @t13 (or @t73 @t336 (forall @t9 (or @t69 @t406 (and (= (tptp.k19_filter_2 @t267 @t2) (tptp.k3_filter_2 @t289 @t333)) (= (tptp.k3_filter_2 @t267 @t2) (tptp.k19_filter_2 @t289 @t333)) @t403 @t402)))))) % 149.10/149.33 (define @t408 () (or @t282 @t281 @t279 @t407)) % 149.10/149.33 (define @t409 () (not @t42)) % 149.10/149.33 (define @t410 () (tptp.k2_xboole_0 @t298 @t314)) % 149.10/149.33 (define @t411 () (not (tptp.v1_xboole_0 @t410))) % 149.10/149.33 (define @t412 () (or @t351 @t411)) % 149.10/149.33 (define @t413 () (@list true false)) % 149.10/149.33 (define @t414 () (= @t325 @t410)) % 149.10/149.33 (define @t415 () (or @t361 @t375 @t414)) % 149.10/149.33 (define @t416 () (tptp.v1_xboole_0 @t325)) % 149.10/149.33 (define @t417 () (= (tptp.k3_filter_2 @t267 @t325) (tptp.k19_filter_2 @t289 @t386))) % 149.10/149.33 (define @t418 () (tptp.k3_filter_2 @t289 @t386)) % 149.10/149.33 (define @t419 () (= @t326 @t418)) % 149.10/149.33 (define @t420 () (forall @t9 (or @t69 @t406 (and @t419 @t417 @t403 @t402)))) % 149.10/149.33 (define @t421 () (or @t416 @t388 @t420)) % 149.10/149.33 (define @t422 () (@list true false false)) % 149.10/149.33 (define @t423 () (or @t270 @t265 @t264 @t331)) % 149.10/149.33 (define @t424 () (tptp.m1_subset_1 @t299 @t405)) % 149.10/149.33 (define @t425 () (or @t282 @t281 @t279 @t361 @t424)) % 149.10/149.33 (define @t426 () (tptp.m1_subset_1 @t298 @t405)) % 149.10/149.33 (define @t427 () (tptp.k8_filter_2 @t267 @t298)) % 149.10/149.33 (define @t428 () (and @t419 @t417 (= (tptp.k3_filter_2 @t267 @t427) (tptp.k19_filter_2 @t289 @t298)) (= (tptp.k3_filter_2 @t289 @t298) (tptp.k19_filter_2 @t267 @t427)))) % 149.10/149.33 (define @t429 () (not @t426)) % 149.10/149.33 (define @t430 () (or @t351 @t429 @t428)) % 149.10/149.33 (define @t431 () (or @t409 @t379 @t378)) % 149.10/149.33 (define @t432 () (@list @t324)) % 149.10/149.33 (define @t433 () (or @t17 @t265 @t264 @t73 @t331)) % 149.10/149.33 (define @t434 () (or @t270 @t265 @t264 @t397 @t331)) % 149.10/149.33 (define @t435 () (not @t112)) % 149.10/149.33 (define @t436 () (@list @t267 @t323)) % 149.10/149.33 (define @t437 () (not @t68)) % 149.10/149.33 (define @t438 () (or @t17 @t265 @t264 @t73 @t331 @t69 @t437)) % 149.10/149.33 (define @t439 () (or @t270 @t265 @t264 @t397 @t331 @t400 @t437)) % 149.10/149.33 (define @t440 () (or @t400 @t437)) % 149.10/149.33 (define @t441 () (not @t71)) % 149.10/149.33 (define @t442 () (not @t118)) % 149.10/149.33 (define @t443 () (@list @t267 @t298 @t314)) % 149.10/149.33 (define @t444 () (tptp.m1_subset_1 @t323 @t334)) % 149.10/149.33 (define @t445 () (or @t282 @t281 @t279 @t351 @t361 @t365 @t375 @t444)) % 149.10/149.33 (define @t446 () (@list true false false false false true true false)) % 149.10/149.33 (define @t447 () (tptp.v1_xboole_0 @t323)) % 149.10/149.33 (define @t448 () (not @t447)) % 149.10/149.33 (define @t449 () (or @t282 @t281 @t279 @t351 @t361 @t365 @t375 @t448)) % 149.10/149.33 (define @t450 () (tptp.m2_filter_2 @t324 @t267)) % 149.10/149.33 (define @t451 () (not @t444)) % 149.10/149.33 (define @t452 () (or @t282 @t281 @t279 @t447 @t451 @t450)) % 149.10/149.33 (define @t453 () (@list true false false true false false)) % 149.10/149.33 (define @t454 () (tptp.m2_lattice4 @t324 @t267)) % 149.10/149.33 (define @t455 () (and (not (tptp.v1_xboole_0 @t324)) @t454)) % 149.10/149.33 (define @t456 () (not @t450)) % 149.10/149.33 (define @t457 () (or @t456 @t455)) % 149.10/149.33 (define @t458 () (tptp.m1_subset_1 @t324 @t334)) % 149.10/149.33 (define @t459 () (not @t454)) % 149.10/149.33 (define @t460 () (or @t459 @t458)) % 149.10/149.33 (define @t461 () (@list @t326)) % 149.10/149.33 (define @t462 () (@list @t267 @t325)) % 149.10/149.33 (define @t463 () (tptp.m2_filter_2 @t326 @t267)) % 149.10/149.33 (define @t464 () (or @t282 @t281 @t279 @t416 @t388 @t463)) % 149.10/149.33 (define @t465 () (tptp.m2_lattice4 @t326 @t267)) % 149.10/149.33 (define @t466 () (and (not (tptp.v1_xboole_0 @t326)) @t465)) % 149.10/149.33 (define @t467 () (not @t463)) % 149.10/149.33 (define @t468 () (or @t467 @t466)) % 149.10/149.33 (define @t469 () (tptp.m1_subset_1 @t326 @t334)) % 149.10/149.33 (define @t470 () (not @t465)) % 149.10/149.33 (define @t471 () (or @t470 @t469)) % 149.10/149.33 (define @t472 () (not @t133)) % 149.10/149.33 (define @t473 () (tptp.l2_lattices @t267)) % 149.10/149.33 (define @t474 () (tptp.l1_lattices @t267)) % 149.10/149.33 (define @t475 () (and @t474 @t473)) % 149.10/149.33 (define @t476 () (or @t279 @t475)) % 149.10/149.33 (define @t477 () (not @t475)) % 149.10/149.33 (define @t478 () (@list @t475)) % 149.10/149.33 (define @t479 () (tptp.l1_struct_0 @t267)) % 149.10/149.33 (define @t480 () (not @t474)) % 149.10/149.33 (define @t481 () (or @t480 @t479)) % 149.10/149.33 (define @t482 () (tptp.v1_xboole_0 @t275)) % 149.10/149.33 (define @t483 () (not @t482)) % 149.10/149.33 (define @t484 () (not @t479)) % 149.10/149.33 (define @t485 () (or @t282 @t484 @t483)) % 149.10/149.33 (define @t486 () (= @t326 @t324)) % 149.10/149.33 (define @t487 () (= @t327 @t486)) % 149.10/149.33 (define @t488 () (not @t458)) % 149.10/149.33 (define @t489 () (not @t469)) % 149.10/149.33 (define @t490 () (or @t482 @t489 @t488 @t487)) % 149.10/149.33 (define @t491 () (not @t486)) % 149.10/149.33 (define @t492 () (= (tptp.k3_filter_2 @t267 @t298) (tptp.k19_filter_2 @t289 @t299))) % 149.10/149.33 (define @t493 () (= (tptp.k19_filter_2 @t267 @t298) (tptp.k3_filter_2 @t289 @t299))) % 149.10/149.33 (define @t494 () (forall @t9 (or @t69 @t406 (and @t493 @t492 @t403 @t402)))) % 149.10/149.33 (define @t495 () (or @t351 @t361 @t494)) % 149.10/149.33 (define @t496 () (@list @t323)) % 149.10/149.33 (define @t497 () (tptp.k7_filter_2 @t267 @t323)) % 149.10/149.33 (define @t498 () (tptp.m1_subset_1 @t497 @t405)) % 149.10/149.33 (define @t499 () (or @t282 @t281 @t279 @t451 @t498)) % 149.10/149.33 (define @t500 () (= @t323 @t497)) % 149.10/149.33 (define @t501 () (or @t451 @t500)) % 149.10/149.33 (define @t502 () (tptp.m1_subset_1 @t323 @t405)) % 149.10/149.33 (define @t503 () (tptp.k8_filter_2 @t267 @t323)) % 149.10/149.33 (define @t504 () (tptp.k19_filter_2 @t267 @t503)) % 149.10/149.33 (define @t505 () (tptp.k3_filter_2 @t289 @t323)) % 149.10/149.33 (define @t506 () (= @t505 @t504)) % 149.10/149.33 (define @t507 () (and @t493 @t492 (= (tptp.k3_filter_2 @t267 @t503) (tptp.k19_filter_2 @t289 @t323)) @t506)) % 149.10/149.33 (define @t508 () (not @t502)) % 149.10/149.33 (define @t509 () (or @t447 @t508 @t507)) % 149.10/149.33 (define @t510 () (= @t2 @t88)) % 149.10/149.33 (define @t511 () (forall @t13 (or (not @t90) @t510))) % 149.10/149.33 (define @t512 () (forall @t13 (or (not (tptp.m1_subset_1 @t2 @t405)) (= @t2 (tptp.k8_filter_2 @t267 @t2))))) % 149.10/149.33 (define @t513 () (or @t282 @t281 @t279 @t512)) % 149.10/149.33 (define @t514 () (= @t323 @t503)) % 149.10/149.33 (define @t515 () (or @t508 @t514)) % 149.10/149.33 (define @t516 () (= @t298 @t427)) % 149.10/149.33 (define @t517 () (or @t429 @t516)) % 149.10/149.33 (define @t518 () (tptp.m1_subset_1 @t315 @t405)) % 149.10/149.33 (define @t519 () (or @t282 @t281 @t279 @t375 @t518)) % 149.10/149.33 (define @t520 () (tptp.m1_subset_1 @t314 @t405)) % 149.10/149.33 (define @t521 () (tptp.k8_filter_2 @t267 @t314)) % 149.10/149.33 (define @t522 () (= @t314 @t521)) % 149.10/149.33 (define @t523 () (not @t520)) % 149.10/149.33 (define @t524 () (or @t523 @t522)) % 149.10/149.33 (define @t525 () (forall @t190 (or (not @t189) @t187))) % 149.10/149.33 (define @t526 () (not @t99)) % 149.10/149.33 (define @t527 () (not @t100)) % 149.10/149.33 (define @t528 () (not @t101)) % 149.10/149.33 (define @t529 () (not @t102)) % 149.10/149.33 (define @t530 () (not @t103)) % 149.10/149.33 (define @t531 () (not @t104)) % 149.10/149.33 (define @t532 () (or @t531 @t530 @t529 @t528 @t527 @t526 @t525)) % 149.10/149.33 (define @t533 () (or @t531 @t530 @t529 @t528 @t527 @t526)) % 149.10/149.33 (define @t534 () (and (= @t275 @t122) (= @t287 @t121) (= @t286 @t120))) % 149.10/149.33 (define @t535 () (not (= @t288 @t188))) % 149.10/149.33 (define @t536 () (or @t535 @t534)) % 149.10/149.33 (define @t537 () (forall @t190 @t536)) % 149.10/149.33 (define @t538 () (tptp.k2_zfmisc_1 @t275 @t275)) % 149.10/149.33 (define @t539 () (tptp.m1_relset_1 @t286 @t538 @t275)) % 149.10/149.33 (define @t540 () (not @t539)) % 149.10/149.33 (define @t541 () (tptp.v1_funct_2 @t286 @t538 @t275)) % 149.10/149.33 (define @t542 () (not @t541)) % 149.10/149.33 (define @t543 () (tptp.v1_funct_1 @t286)) % 149.10/149.33 (define @t544 () (not @t543)) % 149.10/149.33 (define @t545 () (tptp.m1_relset_1 @t287 @t538 @t275)) % 149.10/149.33 (define @t546 () (not @t545)) % 149.10/149.33 (define @t547 () (tptp.v1_funct_2 @t287 @t538 @t275)) % 149.10/149.33 (define @t548 () (not @t547)) % 149.10/149.33 (define @t549 () (tptp.v1_funct_1 @t287)) % 149.10/149.33 (define @t550 () (not @t549)) % 149.10/149.33 (define @t551 () (or @t550 @t548 @t546 @t544 @t542 @t540 @t537)) % 149.10/149.33 (define @t552 () (forall @t47 @t532)) % 149.10/149.33 (define @t553 () (forall @t190 (or (not (= @t188 @t288)) (and (= @t122 @t275) (= @t121 @t287) (= @t120 @t286))))) % 149.10/149.33 (define @t554 () (or @t550 @t548 @t546 @t544 @t542 @t540 @t553)) % 149.10/149.33 (define @t555 () (tptp.m2_relset_1 @t286 @t538 @t275)) % 149.10/149.33 (define @t556 () (and @t543 @t541 @t555)) % 149.10/149.33 (define @t557 () (not @t473)) % 149.10/149.33 (define @t558 () (or @t557 @t556)) % 149.10/149.33 (define @t559 () (not @t556)) % 149.10/149.33 (define @t560 () (@list @t556)) % 149.10/149.33 (define @t561 () (= @t555 @t539)) % 149.10/149.33 (define @t562 () (tptp.m2_relset_1 @t287 @t538 @t275)) % 149.10/149.33 (define @t563 () (and @t549 @t547 @t562)) % 149.10/149.33 (define @t564 () (or @t480 @t563)) % 149.10/149.33 (define @t565 () (not @t563)) % 149.10/149.33 (define @t566 () (@list @t563)) % 149.10/149.33 (define @t567 () (= @t562 @t545)) % 149.10/149.33 (define @t568 () (tptp.u1_lattices @t289)) % 149.10/149.33 (define @t569 () (tptp.u2_lattices @t289)) % 149.10/149.33 (define @t570 () (and (= @t404 @t275) (= @t569 @t287) (= @t568 @t286))) % 149.10/149.33 (define @t571 () (tptp.g3_lattices @t404 @t569 @t568)) % 149.10/149.33 (define @t572 () (not (= @t571 @t288))) % 149.10/149.33 (define @t573 () (or @t572 @t570)) % 149.10/149.33 (define @t574 () (= @t275 @t404)) % 149.10/149.33 (define @t575 () (and @t574 (= @t287 @t569) (= @t286 @t568))) % 149.10/149.33 (define @t576 () (= @t288 @t571)) % 149.10/149.33 (define @t577 () (not @t576)) % 149.10/149.33 (define @t578 () (or @t577 @t575)) % 149.10/149.33 (define @t579 () (not @t27)) % 149.10/149.33 (define @t580 () (@list @t289)) % 149.10/149.33 (define @t581 () (tptp.l3_lattices @t289)) % 149.10/149.33 (define @t582 () (tptp.v3_lattices @t289)) % 149.10/149.33 (define @t583 () (and @t582 @t581)) % 149.10/149.33 (define @t584 () (or @t279 @t583)) % 149.10/149.33 (define @t585 () (tptp.v3_struct_0 @t289)) % 149.10/149.33 (define @t586 () (not @t585)) % 149.10/149.33 (define @t587 () (and @t586 @t582)) % 149.10/149.33 (define @t588 () (or @t282 @t279 @t587)) % 149.10/149.33 (define @t589 () (not @t587)) % 149.10/149.33 (define @t590 () (@list @t587)) % 149.10/149.33 (define @t591 () (= @t289 @t571)) % 149.10/149.33 (define @t592 () (not @t582)) % 149.10/149.33 (define @t593 () (not @t581)) % 149.10/149.33 (define @t594 () (or @t593 @t592 @t591)) % 149.10/149.33 (define @t595 () (= @t126 @t127)) % 149.10/149.33 (define @t596 () (or @t17 @t265 @t264 @t73 @t331 @t595)) % 149.10/149.33 (define @t597 () (tptp.k3_filter_0 @t289 @t325)) % 149.10/149.33 (define @t598 () (tptp.k3_filter_2 @t289 @t325)) % 149.10/149.33 (define @t599 () (tptp.m1_subset_1 @t325 @t405)) % 149.10/149.33 (define @t600 () (not @t599)) % 149.10/149.33 (define @t601 () (tptp.v10_lattices @t289)) % 149.10/149.33 (define @t602 () (not @t601)) % 149.10/149.33 (define @t603 () (or @t585 @t602 @t593 @t416 @t600 (= @t597 @t598))) % 149.10/149.33 (define @t604 () (forall @t31 @t596)) % 149.10/149.33 (define @t605 () (= @t598 @t597)) % 149.10/149.33 (define @t606 () (or @t585 @t602 @t593 @t416 @t600 @t605)) % 149.10/149.33 (define @t607 () (@list @t604)) % 149.10/149.33 (define @t608 () (tptp.m1_subset_1 @t386 @t405)) % 149.10/149.33 (define @t609 () (or @t282 @t281 @t279 @t388 @t608)) % 149.10/149.33 (define @t610 () (and @t586 @t582 (tptp.v4_lattices @t289) (tptp.v5_lattices @t289) (tptp.v6_lattices @t289) (tptp.v7_lattices @t289) (tptp.v8_lattices @t289) (tptp.v9_lattices @t289) @t601)) % 149.10/149.33 (define @t611 () (or @t282 @t281 @t279 @t610)) % 149.10/149.33 (define @t612 () (@list true true false false false false)) % 149.10/149.33 (define @t613 () (tptp.k3_filter_0 @t289 @t323)) % 149.10/149.33 (define @t614 () (or @t585 @t602 @t593 @t447 @t508 (= @t613 @t505))) % 149.10/149.33 (define @t615 () (= @t505 @t613)) % 149.10/149.33 (define @t616 () (or @t585 @t602 @t593 @t447 @t508 @t615)) % 149.10/149.33 (define @t617 () (forall @t9 (or (not @t255) @t254))) % 149.10/149.33 (define @t618 () (forall @t13 (or (not @t137) @t617))) % 149.10/149.33 (define @t619 () (not (tptp.m1_filter_0 @t1 @t289))) % 149.10/149.33 (define @t620 () (tptp.m1_filter_0 @t2 @t289)) % 149.10/149.33 (define @t621 () (forall @t13 (or (not @t620) (forall @t9 (or @t619 (= (tptp.k3_filter_0 @t289 (tptp.k4_subset_1 @t404 @t2 @t1)) (tptp.k3_filter_0 @t289 (tptp.k5_filter_0 @t289 @t2 @t1)))))))) % 149.10/149.33 (define @t622 () (or @t585 @t602 @t593 @t621)) % 149.10/149.33 (define @t623 () (@list @t300)) % 149.10/149.33 (define @t624 () (forall @t13 (= @t137 @t140))) % 149.10/149.33 (define @t625 () (forall @t13 (= @t620 (tptp.m1_filter_2 @t2 @t289)))) % 149.10/149.33 (define @t626 () (or @t585 @t602 @t593 @t625)) % 149.10/149.33 (define @t627 () (tptp.m1_filter_0 @t300 @t289)) % 149.10/149.33 (define @t628 () (tptp.m1_filter_2 @t300 @t289)) % 149.10/149.33 (define @t629 () (= @t627 @t628)) % 149.10/149.33 (define @t630 () (= @t628 @t627)) % 149.10/149.33 (define @t631 () (@list @t625)) % 149.10/149.33 (define @t632 () (or @t282 @t281 @t279 @t302 @t628)) % 149.10/149.33 (define @t633 () (forall @t9 (or @t619 (= (tptp.k3_filter_0 @t289 (tptp.k4_subset_1 @t404 @t300 @t1)) (tptp.k3_filter_0 @t289 (tptp.k5_filter_0 @t289 @t300 @t1)))))) % 149.10/149.33 (define @t634 () (not @t627)) % 149.10/149.33 (define @t635 () (or @t634 @t633)) % 149.10/149.33 (define @t636 () (@list @t316)) % 149.10/149.33 (define @t637 () (tptp.m1_filter_0 @t316 @t289)) % 149.10/149.33 (define @t638 () (tptp.m1_filter_2 @t316 @t289)) % 149.10/149.33 (define @t639 () (= @t637 @t638)) % 149.10/149.33 (define @t640 () (= @t638 @t637)) % 149.10/149.33 (define @t641 () (or @t282 @t281 @t279 @t318 @t638)) % 149.10/149.33 (define @t642 () (tptp.k5_filter_0 @t289 @t300 @t316)) % 149.10/149.33 (define @t643 () (tptp.k3_filter_0 @t289 @t642)) % 149.10/149.33 (define @t644 () (= (tptp.k3_filter_0 @t289 (tptp.k4_subset_1 @t404 @t300 @t316)) @t643)) % 149.10/149.33 (define @t645 () (not @t637)) % 149.10/149.33 (define @t646 () (or @t645 @t644)) % 149.10/149.33 (define @t647 () (and @t233 (= @t95 @t232) @t230 @t229)) % 149.10/149.33 (define @t648 () (not @t235)) % 149.10/149.33 (define @t649 () (or @t236 @t648 @t647)) % 149.10/149.33 (define @t650 () (forall @t240 @t649)) % 149.10/149.33 (define @t651 () (not @t242)) % 149.10/149.33 (define @t652 () (or @t183 @t651 @t650)) % 149.10/149.33 (define @t653 () (forall @t245 @t652)) % 149.10/149.33 (define @t654 () (or @t69 @t437 @t653)) % 149.10/149.33 (define @t655 () (forall @t9 @t654)) % 149.10/149.33 (define @t656 () (or @t73 @t331 @t655)) % 149.10/149.33 (define @t657 () (forall @t13 @t656)) % 149.10/149.33 (define @t658 () (tptp.k8_filter_2 @t267 @t121)) % 149.10/149.33 (define @t659 () (tptp.k8_filter_2 @t267 @t122)) % 149.10/149.33 (define @t660 () (= (tptp.k20_filter_2 @t267 @t659 @t658) (tptp.k5_filter_0 @t289 @t122 @t121))) % 149.10/149.33 (define @t661 () (= (tptp.k20_filter_2 @t289 @t122 @t121) (tptp.k5_filter_0 @t267 @t659 @t658))) % 149.10/149.33 (define @t662 () (tptp.k7_filter_2 @t267 @t1)) % 149.10/149.33 (define @t663 () (not (tptp.m1_subset_1 @t121 @t405))) % 149.10/149.33 (define @t664 () (not (tptp.m1_subset_1 @t122 @t405))) % 149.10/149.33 (define @t665 () (not (tptp.m1_subset_1 @t1 @t334))) % 149.10/149.33 (define @t666 () (forall @t13 (or @t73 @t336 (forall @t9 (or @t69 @t665 (forall @t245 (or @t183 @t664 (forall @t240 (or @t236 @t663 (and (= @t274 (tptp.k5_filter_0 @t289 @t333 @t662)) (= (tptp.k5_filter_0 @t267 @t2 @t1) (tptp.k20_filter_2 @t289 @t333 @t662)) @t661 @t660)))))))))) % 149.10/149.33 (define @t667 () (or @t282 @t281 @t279 @t666)) % 149.10/149.33 (define @t668 () (forall @t13 (or @t344 @t73))) % 149.10/149.33 (define @t669 () (@quantifiers_skolemize @t668 0)) % 149.10/149.33 (define @t670 () (@list @t669)) % 149.10/149.33 (define @t671 () (not (forall @t13 (or @t341 @t73)))) % 149.10/149.33 (define @t672 () (forall @t13 (not @t194))) % 149.10/149.33 (define @t673 () (not @t672)) % 149.10/149.33 (define @t674 () (not @t668)) % 149.10/149.33 (define @t675 () (or @t282 @t281 @t279 @t674)) % 149.10/149.33 (define @t676 () (tptp.m2_lattice4 @t669 @t267)) % 149.10/149.33 (define @t677 () (tptp.v1_xboole_0 @t669)) % 149.10/149.33 (define @t678 () (not @t676)) % 149.10/149.33 (define @t679 () (or @t678 @t677)) % 149.10/149.33 (define @t680 () (@list @t679)) % 149.10/149.33 (define @t681 () (tptp.m1_subset_1 @t669 @t334)) % 149.10/149.33 (define @t682 () (or @t678 @t681)) % 149.10/149.33 (define @t683 () (tptp.k7_filter_2 @t267 @t669)) % 149.10/149.33 (define @t684 () (forall @t9 (or @t69 @t665 (forall @t245 (or @t183 @t664 (forall @t240 (or @t236 @t663 (and (= (tptp.k20_filter_2 @t267 @t669 @t1) (tptp.k5_filter_0 @t289 @t683 @t662)) (= (tptp.k5_filter_0 @t267 @t669 @t1) (tptp.k20_filter_2 @t289 @t683 @t662)) @t661 @t660)))))))) % 149.10/149.33 (define @t685 () (not @t681)) % 149.10/149.33 (define @t686 () (or @t677 @t685 @t684)) % 149.10/149.33 (define @t687 () (= (tptp.k5_filter_0 @t267 @t669 @t325) (tptp.k20_filter_2 @t289 @t683 @t386))) % 149.10/149.33 (define @t688 () (= (tptp.k20_filter_2 @t267 @t669 @t325) (tptp.k5_filter_0 @t289 @t683 @t386))) % 149.10/149.33 (define @t689 () (forall @t245 (or @t183 @t664 (forall @t240 (or @t236 @t663 (and @t688 @t687 @t661 @t660)))))) % 149.10/149.33 (define @t690 () (or @t416 @t388 @t689)) % 149.10/149.33 (define @t691 () (forall @t240 (or @t236 @t663 (and @t688 @t687 (= (tptp.k20_filter_2 @t289 @t298 @t121) (tptp.k5_filter_0 @t267 @t427 @t658)) (= (tptp.k20_filter_2 @t267 @t427 @t658) (tptp.k5_filter_0 @t289 @t298 @t121)))))) % 149.10/149.33 (define @t692 () (or @t351 @t429 @t691)) % 149.10/149.33 (define @t693 () (tptp.k20_filter_2 @t267 @t427 @t521)) % 149.10/149.33 (define @t694 () (tptp.k5_filter_0 @t289 @t298 @t314)) % 149.10/149.33 (define @t695 () (= (tptp.k20_filter_2 @t289 @t298 @t314) (tptp.k5_filter_0 @t267 @t427 @t521))) % 149.10/149.33 (define @t696 () (and @t688 @t687 @t695 (= @t693 @t694))) % 149.10/149.33 (define @t697 () (or @t365 @t523 @t696)) % 149.10/149.33 (define @t698 () (= @t694 @t693)) % 149.10/149.33 (define @t699 () (and @t688 @t687 @t695 @t698)) % 149.10/149.33 (define @t700 () (or @t365 @t523 @t699)) % 149.10/149.33 (define @t701 () (tptp.k5_filter_0 @t288 @t300 @t314)) % 149.10/149.33 (define @t702 () (tptp.k5_filter_0 @t288 @t300 @t316)) % 149.10/149.33 (define @t703 () (and @t290 @t306 @t321 @t360 @t374 @t419 @t387 @t506 @t514 @t516 @t522 @t574 @t605 @t615 @t698 @t644)) % 149.10/149.33 (assume @p1 @t23) % 149.10/149.33 (assume @p2 @t29) % 149.10/149.33 (assume @p3 (forall @t31 (=> @t30 (not (tptp.r2_hidden @t2 @t3))))) % 149.10/149.33 (assume @p4 (forall @t21 (=> @t33 @t32))) % 149.10/149.33 (assume @p5 (forall @t21 (=> @t15 (=> @t41 @t40)))) % 149.10/149.33 (assume @p6 (forall @t21 (=> @t44 @t42))) % 149.10/149.33 (assume @p7 (forall @t47 (=> @t46 (tptp.v1_relat_1 @t1)))) % 149.10/149.33 (assume @p8 (forall @t21 (=> @t50 @t49))) % 149.10/149.33 (assume @p9 (forall @t21 (=> @t15 (=> @t40 @t41)))) % 149.10/149.33 (assume @p10 (forall @t31 (= @t51 (tptp.k2_tarski @t2 @t3)))) % 149.10/149.33 (assume @p11 (forall @t31 (= @t53 @t52))) % 149.10/149.33 (assume @p12 (forall @t47 (=> @t58 (= @t54 (tptp.k3_lattices @t3 @t1 @t2))))) % 149.10/149.33 (assume @p13 (forall @t47 (=> @t61 (= @t59 (tptp.k4_lattices @t3 @t1 @t2))))) % 149.10/149.33 (assume @p14 (forall @t47 (=> @t66 (= @t62 (tptp.k4_subset_1 @t3 @t1 @t2))))) % 149.10/149.33 (assume @p15 (forall @t21 (=> @t19 (forall @t13 (=> @t75 (forall @t9 (=> @t71 (= @t4 (tptp.a_3_0_filter_2 @t3 @t2 @t1))))))))) % 149.10/149.33 (assume @p16 (forall @t21 (=> @t76 (forall (@list @t2 @t1) (= (tptp.k1_binop_1 @t3 @t2 @t1) (tptp.k1_funct_1 @t3 (tptp.k4_tarski @t2 @t1))))))) % 149.10/149.33 (assume @p17 (forall @t21 (=> (and @t18 @t57) (forall @t13 (=> @t56 (forall @t9 (=> @t55 (= @t77 (tptp.k2_binop_1 @t5 @t5 @t5 @t25 @t2 @t1))))))))) % 149.10/149.33 (assume @p18 @t80) % 149.10/149.33 (assume @p19 (forall @t21 (=> (and @t18 @t60) (forall @t13 (=> @t56 (forall @t9 (=> @t55 (= @t81 (tptp.k2_binop_1 @t5 @t5 @t5 @t24 @t2 @t1))))))))) % 149.10/149.33 (assume @p20 (forall @t31 (= (tptp.k4_tarski @t3 @t2) (tptp.k2_tarski @t51 @t82)))) % 149.10/149.33 (assume @p21 @t87) % 149.10/149.33 (assume @p22 @t94) % 149.10/149.33 (assume @p23 (forall @t21 (=> @t19 (forall @t13 (=> @t75 (forall @t9 (=> @t71 (= @t95 (tptp.a_3_0_filter_0 @t3 @t2 @t1))))))))) % 149.10/149.33 (assume @p24 (forall @t47 (=> @t105 (and @t97 (tptp.l3_lattices @t96))))) % 149.10/149.33 (assume @p25 @t109) % 149.10/149.33 (assume @p26 @t113) % 149.10/149.33 (assume @p27 true) % 149.10/149.33 (assume @p28 @t116) % 149.10/149.33 (assume @p29 (forall @t47 (=> (and @t18 @t57 @t56 @t55) (tptp.m1_subset_1 @t77 @t5)))) % 149.10/149.33 (assume @p30 @t119) % 149.10/149.33 (assume @p31 (forall @t125 (=> @t124 (tptp.m1_subset_1 @t123 @t1)))) % 149.10/149.33 (assume @p32 (forall @t47 (=> (and @t18 @t60 @t56 @t55) (tptp.m1_subset_1 @t81 @t5)))) % 149.10/149.33 (assume @p33 (forall @t31 (=> @t112 (tptp.m1_filter_0 @t126 @t3)))) % 149.10/149.33 (assume @p34 (forall @t31 (=> @t112 (tptp.m1_filter_2 @t127 @t3)))) % 149.10/149.33 (assume @p35 (forall @t47 (=> @t58 (tptp.m1_subset_1 @t54 @t5)))) % 149.10/149.33 (assume @p36 (forall @t47 (=> @t61 (tptp.m1_subset_1 @t59 @t5)))) % 149.10/149.33 (assume @p37 @t129) % 149.10/149.33 (assume @p38 (forall @t47 (=> @t118 (tptp.m1_subset_1 @t95 @t67)))) % 149.10/149.33 (assume @p39 @t132) % 149.10/149.33 (assume @p40 (forall @t31 (=> (and @t18 @t16 @t15 @t90) (tptp.m1_subset_1 @t88 @t67)))) % 149.10/149.33 (assume @p41 @t134) % 149.10/149.33 (assume @p42 (forall @t21 (=> @t57 @t133))) % 149.10/149.33 (assume @p43 @t136) % 149.10/149.33 (assume @p44 (forall @t21 (=> @t19 (forall @t13 (=> @t137 @t75))))) % 149.10/149.33 (assume @p45 (forall @t21 (=> @t19 (forall @t13 (=> @t140 @t139))))) % 149.10/149.33 (assume @p46 @t143) % 149.10/149.33 (assume @p47 @t146) % 149.10/149.33 (assume @p48 (forall @t47 (=> @t147 @t46))) % 149.10/149.33 (assume @p49 @t152) % 149.10/149.33 (assume @p50 @t156) % 149.10/149.33 (assume @p51 (exists @t21 @t60)) % 149.10/149.33 (assume @p52 (exists @t21 @t133)) % 149.10/149.33 (assume @p53 (exists @t21 @t57)) % 149.10/149.33 (assume @p54 (exists @t21 @t15)) % 149.10/149.33 (assume @p55 (forall @t21 (=> @t19 (exists @t13 @t137)))) % 149.10/149.33 (assume @p56 (forall @t21 (=> @t19 (exists @t13 @t140)))) % 149.10/149.33 (assume @p57 (forall @t31 (exists @t9 @t157))) % 149.10/149.33 (assume @p58 (forall @t21 (exists @t13 (tptp.m1_subset_1 @t2 @t3)))) % 149.10/149.33 (assume @p59 (forall @t21 (=> @t19 (exists @t13 @t11)))) % 149.10/149.33 (assume @p60 (forall @t21 (=> @t19 (exists @t13 @t138)))) % 149.10/149.33 (assume @p61 (forall @t31 (exists @t9 @t147))) % 149.10/149.33 (assume @p62 (forall @t47 (=> @t118 (not (tptp.v1_xboole_0 @t95))))) % 149.10/149.33 (assume @p63 (forall @t31 (=> @t112 (not (tptp.v1_xboole_0 @t83))))) % 149.10/149.33 (assume @p64 @t161) % 149.10/149.33 (assume @p65 @t164) % 149.10/149.33 (assume @p66 (forall @t21 (not (tptp.v1_xboole_0 @t63)))) % 149.10/149.33 (assume @p67 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 149.10/149.33 (assume @p68 (forall @t31 (=> (and @t18 @t16 @t15 @t74 @t90) (not (tptp.v1_xboole_0 @t88))))) % 149.10/149.33 (assume @p69 (forall @t21 (=> (and @t18 @t39 @t57) (and @t166 @t154 @t153 (tptp.v1_binop_1 @t25 @t5) @t165)))) % 149.10/149.33 (assume @p70 (forall @t21 @t167)) % 149.10/149.33 (assume @p71 @t169) % 149.10/149.33 (assume @p72 @t171) % 149.10/149.33 (assume @p73 (forall @t21 (=> (and @t18 @t38 @t57) (and @t166 @t154 @t153 (tptp.v2_binop_1 @t25 @t5) @t165)))) % 149.10/149.33 (assume @p74 (forall @t47 (=> (and @t42 @t104 @t103 @t102 @t101 @t100 @t99) (and (not (tptp.v3_struct_0 @t96)) @t97)))) % 149.10/149.33 (assume @p75 (forall @t21 (and @t167 (tptp.v1_finset_1 @t82) (tptp.v1_realset1 @t82)))) % 149.10/149.33 (assume @p76 (forall @t31 (not (tptp.v1_xboole_0 @t51)))) % 149.10/149.33 (assume @p77 (forall @t31 (=> @t42 (not (tptp.v1_xboole_0 @t52))))) % 149.10/149.33 (assume @p78 (forall @t21 (=> (and @t18 @t37 @t60) (and @t173 @t150 @t149 (tptp.v1_binop_1 @t24 @t5) @t172)))) % 149.10/149.33 (assume @p79 (forall @t31 (=> (and @t42 @t74) (not (tptp.v1_xboole_0 @t45))))) % 149.10/149.33 (assume @p80 (forall @t21 (=> (and @t18 @t36 @t60) (and @t173 @t150 @t149 (tptp.v2_binop_1 @t24 @t5) @t172)))) % 149.10/149.33 (assume @p81 @t175) % 149.10/149.33 (assume @p82 (forall @t186 (=> @t185 (= (tptp.r2_hidden @t3 (tptp.a_3_0_filter_0 @t2 @t1 @t122)) (exists @t181 (and @t180 @t179 (= @t3 (tptp.k4_lattices @t2 @t121 @t120)) @t177 @t176)))))) % 149.10/149.33 (assume @p83 (forall @t186 (=> @t185 (= (tptp.r2_hidden @t3 (tptp.a_3_0_filter_2 @t2 @t1 @t122)) (exists @t181 (and @t180 @t179 (= @t3 (tptp.k3_lattices @t2 @t121 @t120)) @t177 @t176)))))) % 149.10/149.33 (assume @p84 @t193) % 149.10/149.33 (assume @p85 (forall @t31 (= (tptp.k2_xboole_0 @t3 @t3) @t3))) % 149.10/149.33 (assume @p86 (forall @t47 (=> @t66 (= (tptp.k4_subset_1 @t3 @t2 @t2) @t2)))) % 149.10/149.33 (assume @p87 (exists @t21 @t76)) % 149.10/149.33 (assume @p88 @t197) % 149.10/149.33 (assume @p89 (exists @t21 (and @t42 @t43))) % 149.10/149.33 (assume @p90 (forall @t21 (=> @t42 (exists @t13 (and @t65 @t74))))) % 149.10/149.33 (assume @p91 (exists @t21 @t33)) % 149.10/149.33 (assume @p92 (exists @t21 @t50)) % 149.10/149.33 (assume @p93 (exists @t21 (and @t42 @t44))) % 149.10/149.33 (assume @p94 (forall @t21 (exists @t13 (and @t65 @t73)))) % 149.10/149.33 (assume @p95 (exists @t21 @t42)) % 149.10/149.33 (assume @p96 (exists @t21 @t49)) % 149.10/149.33 (assume @p97 (exists @t21 (and @t15 @t27))) % 149.10/149.33 (assume @p98 (exists @t21 (and @t133 @t18))) % 149.10/149.33 (assume @p99 (forall @t21 (=> @t163 (exists @t13 (and @t72 @t74))))) % 149.10/149.33 (assume @p100 (exists @t21 (and @t15 @t18 @t27))) % 149.10/149.33 (assume @p101 (exists @t21 (and @t15 @t18 @t27 @t39 @t38 @t37 @t36 @t35 @t34 @t16))) % 149.10/149.33 (assume @p102 @t199) % 149.10/149.33 (assume @p103 (forall @t125 (=> @t124 (= @t123 (tptp.k1_binop_1 @t122 @t121 @t120))))) % 149.10/149.33 (assume @p104 @t201) % 149.10/149.33 (assume @p105 (forall @t47 (=> @t58 (= @t54 @t77)))) % 149.10/149.33 (assume @p106 (forall @t47 (=> @t61 (= @t59 @t81)))) % 149.10/149.33 (assume @p107 @t203) % 149.10/149.33 (assume @p108 @t206) % 149.10/149.33 (assume @p109 (forall @t47 (= @t147 @t157))) % 149.10/149.33 (assume @p110 @t210) % 149.10/149.33 (assume @p111 (forall @t47 (=> @t209 (tptp.r1_filter_2 @t3 @t2 @t2)))) % 149.10/149.33 (assume @p112 (forall @t31 (tptp.r1_tarski @t3 @t3))) % 149.10/149.33 (assume @p113 (forall @t47 (=> @t209 (=> @t207 (tptp.r1_filter_2 @t3 @t1 @t2))))) % 149.10/149.33 (assume @p114 (forall @t21 (= (tptp.k2_xboole_0 @t3 tptp.k1_xboole_0) @t3))) % 149.10/149.33 (assume @p115 (forall @t31 (=> @t30 @t211))) % 149.10/149.33 (assume @p116 (forall @t31 (=> @t211 (or @t73 @t30)))) % 149.10/149.33 (assume @p117 (forall @t31 (=> (forall @t9 (= (tptp.r2_hidden @t1 @t3) (tptp.r2_hidden @t1 @t2))) @t212))) % 149.10/149.33 (assume @p118 @t226) % 149.10/149.33 (assume @p119 (forall @t31 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t2)) (tptp.r1_tarski @t3 @t2)))) % 149.10/149.33 (assume @p120 @t252) % 149.10/149.33 (assume @p121 (forall @t47 (=> (and @t30 @t253) (tptp.m1_subset_1 @t3 @t1)))) % 149.10/149.33 (assume @p122 @t260) % 149.10/149.33 (assume @p123 (forall @t47 (not (and @t30 @t253 @t69)))) % 149.10/149.33 (assume @p124 (forall @t21 (=> @t33 (= @t3 tptp.k1_xboole_0)))) % 149.10/149.33 (assume @p125 (forall @t31 (not (and @t30 @t73)))) % 149.10/149.33 (assume @p126 (forall @t31 (not (and @t33 (not @t212) @t73)))) % 149.10/149.33 (step @p127 :rule bool-impl-elim :args (@t15 @t79)) % 149.10/149.33 (step @p128 :rule cong :premises (@p127) :args (@t80)) % 149.10/149.33 (step @p129 :rule eq_resolve :premises (@p18 @p128)) % 149.10/149.33 (step @p130 :rule instantiate :premises (@p129) :args (@t268)) % 149.10/149.33 (step @p131 :rule aci_norm :args ((= (or @t269 @t263) @t266))) % 149.10/149.33 (step @p132 :rule refl :args (@t263)) % 149.10/149.33 (step @p133 :rule refl :args (@t264)) % 149.10/149.33 (step @p134 :rule refl :args (@t265)) % 149.10/149.33 (step @p135 :rule bool-double-not-elim :args (@t17)) % 149.10/149.33 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133) :args (@t271)) % 149.10/149.33 (step @p137 :rule aci_norm :args ((= (or @t270 (or @t265 @t264)) @t271))) % 149.10/149.33 (step @p138 :rule trans :premises (@p137 @p136)) % 149.10/149.33 (step @p139 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 149.10/149.33 (step @p140 :rule refl :args (@t270)) % 149.10/149.33 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t270 (not (and @t16 @t15))))) % 149.10/149.33 (step @p142 :rule bool-and-de-morgan :args (@t18 @t16 (and @t15))) % 149.10/149.33 (step @p143 :rule trans :premises (@p142 @p141)) % 149.10/149.33 (step @p144 :rule trans :premises (@p143 @p138)) % 149.10/149.33 (step @p145 :rule nary_cong :premises (@p144 @p132) :args ((or @t272 @t263))) % 149.10/149.33 (step @p146 :rule trans :premises (@p145 @p131)) % 149.10/149.33 (step @p147 :rule bool-impl-elim :args (@t19 @t263)) % 149.10/149.33 (step @p148 :rule trans :premises (@p147 @p146)) % 149.10/149.33 (step @p149 :rule cong :premises (@p148) :args ((forall @t21 (=> @t19 @t263)))) % 149.10/149.33 (step @p150 :rule bool-impl-elim :args (@t11 @t261)) % 149.10/149.33 (step @p151 :rule cong :premises (@p150) :args ((forall @t13 (=> @t11 @t261)))) % 149.10/149.33 (step @p152 :rule bool-impl-elim :args (@t8 @t7)) % 149.10/149.33 (step @p153 :rule cong :premises (@p152) :args (@t10)) % 149.10/149.33 (step @p154 :rule refl :args (@t11)) % 149.10/149.33 (step @p155 :rule cong :premises (@p154 @p153) :args (@t12)) % 149.10/149.33 (step @p156 :rule cong :premises (@p155) :args (@t14)) % 149.10/149.33 (step @p157 :rule trans :premises (@p156 @p151)) % 149.10/149.33 (step @p158 :rule refl :args (@t19)) % 149.10/149.33 (step @p159 :rule cong :premises (@p158 @p157) :args (@t20)) % 149.10/149.33 (step @p160 :rule cong :premises (@p159) :args (@t22)) % 149.10/149.33 (step @p161 :rule trans :premises (@p160 @p149)) % 149.10/149.33 (step @p162 :rule cong :premises (@p161) :args (@t23)) % 149.10/149.33 (step @p163 :rule eq_resolve :premises (@p1 @p162)) % 149.10/149.33 (step @p164 :rule skolemize :premises (@p163)) % 149.10/149.33 (step @p165 :rule bool-double-not-elim :args (@t273)) % 149.10/149.33 (step @p166 :rule refl :args (@t283)) % 149.10/149.33 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t283 (not @t279)))) % 149.10/149.33 (step @p168 :rule cnf_or_neg :args (@t283 2)) % 149.10/149.33 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 149.10/149.33 (step @p170 :rule reordering :premises (@p169) :args ((or @t273 @t283))) % 149.10/149.33 (step @p171 :rule chain_m_resolution :premises (@p170 @p164) :args (@t273 @t284 @t285)) % 149.10/149.33 (step @p172 :rule cnf_or_pos :args (@t291)) % 149.10/149.33 (step @p173 :rule reordering :premises (@p172) :args ((or @t279 @t290 (not @t291)))) % 149.10/149.33 (step @p174 :rule chain_m_resolution :premises (@p173 @p171 @p130) :args (@t290 @t292 (@list @t273 @t291))) % 149.10/149.33 (step @p175 :rule aci_norm :args ((= (or @t295 @t293) @t294))) % 149.10/149.33 (step @p176 :rule refl :args (@t293)) % 149.10/149.33 (step @p177 :rule refl :args (@t262)) % 149.10/149.33 (step @p178 :rule nary_cong :premises (@p135 @p134 @p133 @p177) :args (@t296)) % 149.10/149.33 (step @p179 :rule aci_norm :args ((= (or @t270 (or @t265 (or @t264 @t262))) @t296))) % 149.10/149.33 (step @p180 :rule trans :premises (@p179 @p178)) % 149.10/149.33 (step @p181 :rule bool-and-de-morgan :args (@t15 @t11 true)) % 149.10/149.33 (step @p182 :rule nary_cong :premises (@p134 @p181) :args ((or @t265 (not (and @t15 @t11))))) % 149.10/149.33 (step @p183 :rule bool-and-de-morgan :args (@t16 @t15 (and @t11))) % 149.10/149.33 (step @p184 :rule trans :premises (@p183 @p182)) % 149.10/149.33 (step @p185 :rule nary_cong :premises (@p140 @p184) :args ((or @t270 (not (and @t16 @t15 @t11))))) % 149.10/149.33 (step @p186 :rule bool-and-de-morgan :args (@t18 @t16 (and @t15 @t11))) % 149.10/149.33 (step @p187 :rule trans :premises (@p186 @p185)) % 149.10/149.33 (step @p188 :rule trans :premises (@p187 @p180)) % 149.10/149.33 (step @p189 :rule nary_cong :premises (@p188 @p176) :args ((or @t297 @t293))) % 149.10/149.33 (step @p190 :rule trans :premises (@p189 @p175)) % 149.10/149.33 (step @p191 :rule bool-impl-elim :args (@t108 @t293)) % 149.10/149.33 (step @p192 :rule trans :premises (@p191 @p190)) % 149.10/149.33 (step @p193 :rule cong :premises (@p192) :args ((forall @t31 (=> @t108 @t293)))) % 149.10/149.33 (step @p194 :rule eq-symm :args (@t106 @t83)) % 149.10/149.33 (step @p195 :rule refl :args (@t108)) % 149.10/149.33 (step @p196 :rule cong :premises (@p195 @p194) :args (@t198)) % 149.10/149.33 (step @p197 :rule cong :premises (@p196) :args (@t199)) % 149.10/149.33 (step @p198 :rule trans :premises (@p197 @p193)) % 149.10/149.33 (step @p199 :rule eq_resolve :premises (@p102 @p198)) % 149.10/149.33 (step @p200 :rule eq-symm :args (@t299 @t300)) % 149.10/149.33 (step @p201 :rule refl :args (@t302)) % 149.10/149.33 (step @p202 :rule refl :args (@t279)) % 149.10/149.33 (step @p203 :rule refl :args (@t281)) % 149.10/149.33 (step @p204 :rule refl :args (@t282)) % 149.10/149.33 (step @p205 :rule nary_cong :premises (@p204 @p203 @p202 @p201 @p200) :args (@t303)) % 149.10/149.33 (step @p206 :rule refl :args (@t304)) % 149.10/149.33 (step @p207 :rule cong :premises (@p206 @p205) :args ((=> @t304 @t303))) % 149.10/149.33 (assume-push @p1255 @t304) % 149.10/149.33 (step @p209 :rule instantiate :premises (@p199) :args (@t305)) % 149.10/149.33 (step-pop @p1256 :rule scope :premises (@p209)) % 149.10/149.33 (step @p210 :rule process_scope :premises (@p1256) :args (@t303)) % 149.10/149.33 (step @p212 :rule eq_resolve :premises (@p210 @p207)) % 149.10/149.33 (step @p213 :rule implies_elim :premises (@p212)) % 149.10/149.33 (step @p214 :rule chain_m_resolution :premises (@p213 @p199) :args (@t307 @t308 @t309)) % 149.10/149.33 (step @p215 :rule cnf_or_neg :args (@t283 3)) % 149.10/149.33 (step @p216 :rule chain_m_resolution :premises (@p215 @p164) :args ((not @t278) @t284 @t285)) % 149.10/149.33 (step @p217 :rule skolemize :premises (@p216)) % 149.10/149.33 (step @p218 :rule bool-double-not-elim :args (@t301)) % 149.10/149.33 (step @p219 :rule refl :args (@t311)) % 149.10/149.33 (step @p220 :rule nary_cong :premises (@p219 @p218) :args ((or @t311 (not @t302)))) % 149.10/149.33 (step @p221 :rule cnf_or_neg :args (@t311 0)) % 149.10/149.33 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 149.10/149.33 (step @p223 :rule reordering :premises (@p222) :args ((or @t301 @t311))) % 149.10/149.33 (step @p224 :rule chain_m_resolution :premises (@p223 @p217) :args (@t301 @t284 @t312)) % 149.10/149.33 (step @p225 :rule bool-double-not-elim :args (@t280)) % 149.10/149.33 (step @p226 :rule nary_cong :premises (@p166 @p225) :args ((or @t283 (not @t281)))) % 149.10/149.33 (step @p227 :rule cnf_or_neg :args (@t283 1)) % 149.10/149.33 (step @p228 :rule eq_resolve :premises (@p227 @p226)) % 149.10/149.33 (step @p229 :rule reordering :premises (@p228) :args ((or @t280 @t283))) % 149.10/149.33 (step @p230 :rule chain_m_resolution :premises (@p229 @p164) :args (@t280 @t284 @t285)) % 149.10/149.33 (step @p231 :rule cnf_or_neg :args (@t283 0)) % 149.10/149.33 (step @p232 :rule chain_m_resolution :premises (@p231 @p164) :args ((not @t282) @t284 @t285)) % 149.10/149.33 (step @p233 :rule cnf_or_pos :args (@t307)) % 149.10/149.33 (step @p234 :rule reordering :premises (@p233) :args ((or @t282 @t281 @t279 @t302 @t306 (not @t307)))) % 149.10/149.33 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p230 @p171 @p224 @p214) :args (@t306 @t313 (@list @t282 @t280 @t273 @t301 @t307))) % 149.10/149.33 (step @p236 :rule eq-symm :args (@t315 @t316)) % 149.10/149.33 (step @p237 :rule refl :args (@t318)) % 149.10/149.33 (step @p238 :rule nary_cong :premises (@p204 @p203 @p202 @p237 @p236) :args (@t319)) % 149.10/149.33 (step @p239 :rule cong :premises (@p206 @p238) :args ((=> @t304 @t319))) % 149.10/149.33 (assume-push @p1257 @t304) % 149.10/149.33 (step @p241 :rule instantiate :premises (@p199) :args (@t320)) % 149.10/149.33 (step-pop @p1258 :rule scope :premises (@p241)) % 149.10/149.33 (step @p242 :rule process_scope :premises (@p1258) :args (@t319)) % 149.10/149.33 (step @p244 :rule eq_resolve :premises (@p242 @p239)) % 149.10/149.33 (step @p245 :rule implies_elim :premises (@p244)) % 149.10/149.33 (step @p246 :rule chain_m_resolution :premises (@p245 @p199) :args (@t322 @t308 @t309)) % 149.10/149.33 (step @p247 :rule cnf_or_neg :args (@t311 1)) % 149.10/149.33 (step @p248 :rule chain_m_resolution :premises (@p247 @p217) :args ((not @t310) @t284 @t312)) % 149.10/149.33 (step @p249 :rule skolemize :premises (@p248)) % 149.10/149.33 (step @p250 :rule bool-double-not-elim :args (@t317)) % 149.10/149.33 (step @p251 :rule refl :args (@t328)) % 149.10/149.33 (step @p252 :rule nary_cong :premises (@p251 @p250) :args ((or @t328 (not @t318)))) % 149.10/149.33 (step @p253 :rule cnf_or_neg :args (@t328 0)) % 149.10/149.33 (step @p254 :rule eq_resolve :premises (@p253 @p252)) % 149.10/149.33 (step @p255 :rule reordering :premises (@p254) :args ((or @t317 @t328))) % 149.10/149.33 (step @p256 :rule chain_m_resolution :premises (@p255 @p249) :args (@t317 @t284 @t329)) % 149.10/149.33 (step @p257 :rule cnf_or_pos :args (@t322)) % 149.10/149.33 (step @p258 :rule reordering :premises (@p257) :args ((or @t282 @t281 @t279 @t318 @t321 (not @t322)))) % 149.10/149.33 (step @p259 :rule chain_m_resolution :premises (@p258 @p232 @p230 @p171 @p256 @p246) :args (@t321 @t313 (@list @t282 @t280 @t273 @t317 @t322))) % 149.10/149.33 (step @p260 :rule aci_norm :args ((= (or @t269 @t332) (or @t17 @t265 @t264 @t332)))) % 149.10/149.33 (step @p261 :rule refl :args (@t332)) % 149.10/149.33 (step @p262 :rule nary_cong :premises (@p144 @p261) :args ((or @t272 @t332))) % 149.10/149.33 (step @p263 :rule trans :premises (@p262 @p260)) % 149.10/149.33 (step @p264 :rule bool-impl-elim :args (@t19 @t332)) % 149.10/149.33 (step @p265 :rule trans :premises (@p264 @p263)) % 149.10/149.33 (step @p266 :rule cong :premises (@p265) :args ((forall @t21 (=> @t19 @t332)))) % 149.10/149.33 (step @p267 :rule bool-impl-elim :args (@t72 @t330)) % 149.10/149.33 (step @p268 :rule cong :premises (@p267) :args ((forall @t13 (=> @t72 @t330)))) % 149.10/149.33 (step @p269 :rule eq-symm :args (@t83 @t2)) % 149.10/149.33 (step @p270 :rule refl :args (@t72)) % 149.10/149.33 (step @p271 :rule cong :premises (@p270 @p269) :args (@t84)) % 149.10/149.33 (step @p272 :rule cong :premises (@p271) :args (@t85)) % 149.10/149.33 (step @p273 :rule trans :premises (@p272 @p268)) % 149.10/149.33 (step @p274 :rule cong :premises (@p158 @p273) :args (@t86)) % 149.10/149.33 (step @p275 :rule cong :premises (@p274) :args (@t87)) % 149.10/149.33 (step @p276 :rule trans :premises (@p275 @p266)) % 149.10/149.33 (step @p277 :rule eq_resolve :premises (@p21 @p276)) % 149.10/149.33 (step @p278 :rule instantiate :premises (@p277) :args (@t268)) % 149.10/149.33 (step @p279 :rule cnf_or_pos :args (@t338)) % 149.10/149.33 (step @p280 :rule reordering :premises (@p279) :args ((or @t282 @t281 @t279 @t337 (not @t338)))) % 149.10/149.33 (step @p281 :rule chain_m_resolution :premises (@p280 @p232 @p230 @p171 @p278) :args (@t337 @t339 (@list @t282 @t280 @t273 @t338))) % 149.10/149.33 (step @p282 :rule instantiate :premises (@p281) :args (@t340)) % 149.10/149.33 (step @p283 :rule aci_norm :args ((= (or @t269 @t342) (or @t17 @t265 @t264 @t342)))) % 149.10/149.33 (step @p284 :rule refl :args (@t342)) % 149.10/149.33 (step @p285 :rule nary_cong :premises (@p144 @p284) :args ((or @t272 @t342))) % 149.10/149.33 (step @p286 :rule trans :premises (@p285 @p283)) % 149.10/149.33 (step @p287 :rule bool-impl-elim :args (@t19 @t342)) % 149.10/149.33 (step @p288 :rule trans :premises (@p287 @p286)) % 149.10/149.33 (step @p289 :rule cong :premises (@p288) :args ((forall @t21 (=> @t19 @t342)))) % 149.10/149.33 (step @p290 :rule bool-impl-elim :args (@t138 @t72)) % 149.10/149.33 (step @p291 :rule cong :premises (@p290) :args (@t144)) % 149.10/149.33 (step @p292 :rule cong :premises (@p158 @p291) :args (@t145)) % 149.10/149.33 (step @p293 :rule cong :premises (@p292) :args (@t146)) % 149.10/149.33 (step @p294 :rule trans :premises (@p293 @p289)) % 149.10/149.33 (step @p295 :rule eq_resolve :premises (@p47 @p294)) % 149.10/149.33 (step @p296 :rule instantiate :premises (@p295) :args (@t268)) % 149.10/149.33 (step @p297 :rule cnf_or_pos :args (@t346)) % 149.10/149.33 (step @p298 :rule reordering :premises (@p297) :args ((or @t282 @t281 @t279 @t345 (not @t346)))) % 149.10/149.33 (step @p299 :rule chain_m_resolution :premises (@p298 @p232 @p230 @p171 @p296) :args (@t345 @t339 (@list @t282 @t280 @t273 @t346))) % 149.10/149.33 (step @p300 :rule instantiate :premises (@p299) :args (@t340)) % 149.10/149.33 (step @p301 :rule aci_norm :args ((= (or @t269 @t347) (or @t17 @t265 @t264 @t347)))) % 149.10/149.33 (step @p302 :rule refl :args (@t347)) % 149.10/149.33 (step @p303 :rule nary_cong :premises (@p144 @p302) :args ((or @t272 @t347))) % 149.10/149.33 (step @p304 :rule trans :premises (@p303 @p301)) % 149.10/149.33 (step @p305 :rule bool-impl-elim :args (@t19 @t347)) % 149.10/149.33 (step @p306 :rule trans :premises (@p305 @p304)) % 149.10/149.33 (step @p307 :rule cong :premises (@p306) :args ((forall @t21 (=> @t19 @t347)))) % 149.10/149.33 (step @p308 :rule bool-impl-elim :args (@t11 @t139)) % 149.10/149.33 (step @p309 :rule cong :premises (@p308) :args (@t141)) % 149.10/149.33 (step @p310 :rule cong :premises (@p158 @p309) :args (@t142)) % 149.10/149.33 (step @p311 :rule cong :premises (@p310) :args (@t143)) % 149.10/149.33 (step @p312 :rule trans :premises (@p311 @p307)) % 149.10/149.33 (step @p313 :rule eq_resolve :premises (@p46 @p312)) % 149.10/149.33 (step @p314 :rule instantiate :premises (@p313) :args (@t268)) % 149.10/149.33 (step @p315 :rule cnf_or_pos :args (@t349)) % 149.10/149.33 (step @p316 :rule reordering :premises (@p315) :args ((or @t282 @t281 @t279 @t348 (not @t349)))) % 149.10/149.33 (step @p317 :rule chain_m_resolution :premises (@p316 @p232 @p230 @p171 @p314) :args (@t348 @t339 (@list @t282 @t280 @t273 @t349))) % 149.10/149.33 (step @p318 :rule instantiate :premises (@p317) :args (@t340)) % 149.10/149.33 (step @p319 :rule cnf_or_pos :args (@t354)) % 149.10/149.33 (step @p320 :rule reordering :premises (@p319) :args ((or @t302 @t353 (not @t354)))) % 149.10/149.33 (step @p321 :rule chain_m_resolution :premises (@p320 @p224 @p318) :args (@t353 @t292 (@list @t301 @t354))) % 149.10/149.33 (step @p322 :rule cnf_and_pos :args (@t353 1)) % 149.10/149.33 (step @p323 :rule reordering :premises (@p322) :args ((or @t350 @t355))) % 149.10/149.33 (step @p324 :rule chain_m_resolution :premises (@p323 @p321) :args (@t350 @t308 @t356)) % 149.10/149.33 (step @p325 :rule cnf_or_pos :args (@t359)) % 149.10/149.33 (step @p326 :rule reordering :premises (@p325) :args ((or @t357 @t358 (not @t359)))) % 149.10/149.33 (step @p327 :rule chain_m_resolution :premises (@p326 @p324 @p300) :args (@t357 @t292 (@list @t350 @t359))) % 149.10/149.33 (step @p328 :rule cnf_or_pos :args (@t362)) % 149.10/149.33 (step @p329 :rule reordering :premises (@p328) :args ((or @t361 @t360 (not @t362)))) % 149.10/149.33 (step @p330 :rule chain_m_resolution :premises (@p329 @p327 @p282) :args (@t360 @t292 (@list @t357 @t362))) % 149.10/149.33 (step @p331 :rule instantiate :premises (@p281) :args (@t363)) % 149.10/149.33 (step @p332 :rule instantiate :premises (@p299) :args (@t363)) % 149.10/149.33 (step @p333 :rule instantiate :premises (@p317) :args (@t363)) % 149.10/149.33 (step @p334 :rule cnf_or_pos :args (@t368)) % 149.10/149.33 (step @p335 :rule reordering :premises (@p334) :args ((or @t318 @t367 (not @t368)))) % 149.10/149.33 (step @p336 :rule chain_m_resolution :premises (@p335 @p256 @p333) :args (@t367 @t292 (@list @t317 @t368))) % 149.10/149.33 (step @p337 :rule cnf_and_pos :args (@t367 1)) % 149.10/149.33 (step @p338 :rule reordering :premises (@p337) :args ((or @t364 @t369))) % 149.10/149.33 (step @p339 :rule chain_m_resolution :premises (@p338 @p336) :args (@t364 @t308 @t370)) % 149.10/149.33 (step @p340 :rule cnf_or_pos :args (@t373)) % 149.10/149.33 (step @p341 :rule reordering :premises (@p340) :args ((or @t371 @t372 (not @t373)))) % 149.10/149.33 (step @p342 :rule chain_m_resolution :premises (@p341 @p339 @p332) :args (@t371 @t292 (@list @t364 @t373))) % 149.10/149.33 (step @p343 :rule cnf_or_pos :args (@t376)) % 149.10/149.33 (step @p344 :rule reordering :premises (@p343) :args ((or @t375 @t374 (not @t376)))) % 149.10/149.33 (step @p345 :rule chain_m_resolution :premises (@p344 @p342 @p331) :args (@t374 @t292 (@list @t371 @t376))) % 149.10/149.33 (step @p346 :rule instantiate :premises (@p281) :args (@t377)) % 149.10/149.33 (step @p347 :rule aci_norm :args ((= (or @t380 @t128) (or @t379 @t378 @t128)))) % 149.10/149.33 (step @p348 :rule refl :args (@t128)) % 149.10/149.33 (step @p349 :rule bool-and-de-morgan :args (@t65 @t64 true)) % 149.10/149.33 (step @p350 :rule nary_cong :premises (@p349 @p348) :args ((or @t381 @t128))) % 149.10/149.33 (step @p351 :rule trans :premises (@p350 @p347)) % 149.10/149.33 (step @p352 :rule bool-impl-elim :args (@t66 @t128)) % 149.10/149.33 (step @p353 :rule trans :premises (@p352 @p351)) % 149.10/149.33 (step @p354 :rule cong :premises (@p353) :args (@t129)) % 149.10/149.33 (step @p355 :rule eq_resolve :premises (@p37 @p354)) % 149.10/149.33 (step @p356 :rule instantiate :premises (@p355) :args (@t382)) % 149.10/149.33 (step @p357 :rule cnf_or_pos :args (@t384)) % 149.10/149.33 (step @p358 :rule reordering :premises (@p357) :args ((or @t361 @t375 @t383 (not @t384)))) % 149.10/149.33 (step @p359 :rule chain_m_resolution :premises (@p358 @p327 @p342 @p356) :args (@t383 @t385 (@list @t357 @t371 @t384))) % 149.10/149.33 (step @p360 :rule cnf_or_pos :args (@t389)) % 149.10/149.33 (step @p361 :rule reordering :premises (@p360) :args ((or @t388 @t387 (not @t389)))) % 149.10/149.33 (step @p362 :rule 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:rule bool-and-de-morgan :args (@t74 @t72 true)) % 149.10/149.33 (step @p376 :rule trans :premises (@p375 @p374)) % 149.10/149.33 (step @p377 :rule nary_cong :premises (@p376 @p371) :args ((or @t399 @t393))) % 149.10/149.33 (step @p378 :rule trans :premises (@p377 @p370)) % 149.10/149.33 (step @p379 :rule bool-impl-elim :args (@t75 @t393)) % 149.10/149.33 (step @p380 :rule trans :premises (@p379 @p378)) % 149.10/149.33 (step @p381 :rule cong :premises (@p380) :args ((forall @t13 (=> @t75 @t393)))) % 149.10/149.33 (step @p382 :rule aci_norm :args ((= (or (or @t69 @t391) @t390) @t392))) % 149.10/149.33 (step @p383 :rule refl :args (@t390)) % 149.10/149.33 (step @p384 :rule refl :args (@t391)) % 149.10/149.33 (step @p385 :rule bool-double-not-elim :args (@t69)) % 149.10/149.33 (step @p386 :rule nary_cong :premises (@p385 @p384) :args ((or @t400 @t391))) % 149.10/149.33 (step @p387 :rule bool-and-de-morgan :args (@t70 @t219 true)) % 149.10/149.33 (step @p388 :rule trans :premises (@p387 @p386)) % 149.10/149.33 (step @p389 :rule nary_cong :premises (@p388 @p383) :args ((or (not @t220) @t390))) % 149.10/149.33 (step @p390 :rule trans :premises (@p389 @p382)) % 149.10/149.33 (step @p391 :rule bool-impl-elim :args (@t220 @t390)) % 149.10/149.33 (step @p392 :rule trans :premises (@p391 @p390)) % 149.10/149.33 (step @p393 :rule cong :premises (@p392) :args ((forall @t9 (=> @t220 @t390)))) % 149.10/149.33 (step @p394 :rule refl :args (@t214)) % 149.10/149.33 (step @p395 :rule refl :args (@t215)) % 149.10/149.33 (step @p396 :rule refl :args (@t216)) % 149.10/149.33 (step @p397 :rule eq-symm :args (@t217 @t110)) % 149.10/149.33 (step @p398 :rule nary_cong :premises (@p397 @p396 @p395 @p394) :args (@t218)) % 149.10/149.33 (step @p399 :rule refl :args (@t220)) % 149.10/149.33 (step @p400 :rule cong :premises (@p399 @p398) :args (@t221)) % 149.10/149.33 (step @p401 :rule cong :premises (@p400) :args (@t222)) % 149.10/149.33 (step @p402 :rule trans :premises (@p401 @p393)) % 149.10/149.33 (step @p403 :rule refl :args (@t75)) % 149.10/149.33 (step @p404 :rule cong :premises (@p403 @p402) :args (@t223)) % 149.10/149.33 (step @p405 :rule cong :premises (@p404) :args (@t224)) % 149.10/149.33 (step @p406 :rule trans :premises (@p405 @p381)) % 149.10/149.33 (step @p407 :rule cong :premises (@p158 @p406) :args (@t225)) % 149.10/149.33 (step @p408 :rule cong :premises (@p407) :args (@t226)) % 149.10/149.33 (step @p409 :rule trans :premises (@p408 @p369)) % 149.10/149.33 (step @p410 :rule eq_resolve :premises (@p118 @p409)) % 149.10/149.33 (step @p411 :rule instantiate :premises (@p410) :args (@t268)) % 149.10/149.33 (step @p412 :rule cnf_or_pos :args (@t408)) % 149.10/149.33 (step @p413 :rule reordering :premises (@p412) :args ((or @t282 @t281 @t279 @t407 (not @t408)))) % 149.10/149.33 (step @p414 :rule chain_m_resolution :premises (@p413 @p232 @p230 @p171 @p411) :args (@t407 @t339 (@list @t282 @t280 @t273 @t408))) % 149.10/149.33 (step @p415 :rule instantiate :premises (@p414) :args (@t377)) % 149.10/149.33 (step @p416 :rule refl :args (@t168)) % 149.10/149.33 (step @p417 :rule bool-double-not-elim :args (@t33)) % 149.10/149.33 (step @p418 :rule nary_cong :premises (@p417 @p416) :args ((or @t409 @t168))) % 149.10/149.33 (step @p419 :rule bool-impl-elim :args (@t42 @t168)) % 149.10/149.33 (step @p420 :rule trans :premises (@p419 @p418)) % 149.10/149.33 (step @p421 :rule cong :premises (@p420) :args (@t169)) % 149.10/149.33 (step @p422 :rule eq_resolve :premises (@p71 @p421)) % 149.10/149.33 (step @p423 :rule instantiate :premises (@p422) :args ((@list @t298 @t314))) % 149.10/149.33 (step @p424 :rule cnf_and_pos :args (@t353 0)) % 149.10/149.33 (step @p425 :rule reordering :premises (@p424) :args ((or @t352 @t355))) % 149.10/149.33 (step @p426 :rule chain_m_resolution :premises (@p425 @p321) :args (@t352 @t308 @t356)) % 149.10/149.33 (step @p427 :rule cnf_or_pos :args (@t412)) % 149.10/149.33 (step @p428 :rule reordering :premises (@p427) :args ((or @t351 @t411 (not @t412)))) % 149.10/149.33 (step @p429 :rule chain_m_resolution :premises (@p428 @p426 @p423) :args (@t411 @t413 (@list @t351 @t412))) % 149.10/149.33 (step @p430 :rule false_intro :premises (@p429)) % 149.10/149.33 (step @p431 :rule aci_norm :args ((= (or @t380 @t202) (or @t379 @t378 @t202)))) % 149.10/149.33 (step @p432 :rule refl :args (@t202)) % 149.10/149.33 (step @p433 :rule nary_cong :premises (@p349 @p432) :args ((or @t381 @t202))) % 149.10/149.33 (step @p434 :rule trans :premises (@p433 @p431)) % 149.10/149.33 (step @p435 :rule bool-impl-elim :args (@t66 @t202)) % 149.10/149.33 (step @p436 :rule trans :premises (@p435 @p434)) % 149.10/149.33 (step @p437 :rule cong :premises (@p436) :args (@t203)) % 149.10/149.33 (step @p438 :rule eq_resolve :premises (@p107 @p437)) % 149.10/149.33 (step @p439 :rule instantiate :premises (@p438) :args (@t382)) % 149.10/149.33 (step @p440 :rule cnf_or_pos :args (@t415)) % 149.10/149.33 (step @p441 :rule reordering :premises (@p440) :args ((or @t361 @t375 @t414 (not @t415)))) % 149.10/149.33 (step @p442 :rule chain_m_resolution :premises (@p441 @p327 @p342 @p439) :args (@t414 @t385 (@list @t357 @t371 @t415))) % 149.10/149.33 (step @p443 :rule cong :premises (@p442) :args (@t416)) % 149.10/149.33 (step @p444 :rule trans :premises (@p443 @p430)) % 149.10/149.33 (step @p445 :rule false_elim :premises (@p444)) % 149.10/149.33 (step @p446 :rule cnf_or_pos :args (@t421)) % 149.10/149.33 (step @p447 :rule reordering :premises (@p446) :args ((or @t416 @t388 @t420 (not @t421)))) % 149.10/149.33 (step @p448 :rule chain_m_resolution :premises (@p447 @p445 @p359 @p415) :args (@t420 @t422 (@list @t416 @t383 @t421))) % 149.10/149.33 (step @p449 :rule instantiate :premises (@p448) :args (@t340)) % 149.10/149.33 (step @p450 :rule aci_norm :args ((= (or (or @t17 @t265 @t264 @t331) @t130) (or @t17 @t265 @t264 @t331 @t130)))) % 149.10/149.33 (step @p451 :rule refl :args (@t130)) % 149.10/149.33 (step @p452 :rule nary_cong :premises (@p135 @p134 @p133 @p372) :args (@t423)) % 149.10/149.33 (step @p453 :rule aci_norm :args ((= (or @t270 (or @t265 (or @t264 @t331))) @t423))) % 149.10/149.33 (step @p454 :rule trans :premises (@p453 @p452)) % 149.10/149.33 (step @p455 :rule bool-and-de-morgan :args (@t15 @t72 true)) % 149.10/149.33 (step @p456 :rule nary_cong :premises (@p134 @p455) :args ((or @t265 (not (and @t15 @t72))))) % 149.10/149.33 (step @p457 :rule bool-and-de-morgan :args (@t16 @t15 (and @t72))) % 149.10/149.33 (step @p458 :rule trans :premises (@p457 @p456)) % 149.10/149.33 (step @p459 :rule nary_cong :premises (@p140 @p458) :args ((or @t270 (not (and @t16 @t15 @t72))))) % 149.10/149.33 (step @p460 :rule bool-and-de-morgan :args (@t18 @t16 (and @t15 @t72))) % 149.10/149.33 (step @p461 :rule trans :premises (@p460 @p459)) % 149.10/149.33 (step @p462 :rule trans :premises (@p461 @p454)) % 149.10/149.33 (step @p463 :rule nary_cong :premises (@p462 @p451) :args ((or (not @t131) @t130))) % 149.10/149.33 (step @p464 :rule trans :premises (@p463 @p450)) % 149.10/149.33 (step @p465 :rule bool-impl-elim :args (@t131 @t130)) % 149.10/149.33 (step @p466 :rule trans :premises (@p465 @p464)) % 149.10/149.33 (step @p467 :rule cong :premises (@p466) :args (@t132)) % 149.10/149.33 (step @p468 :rule eq_resolve :premises (@p39 @p467)) % 149.10/149.33 (step @p469 :rule instantiate :premises (@p468) :args (@t305)) % 149.10/149.33 (step @p470 :rule cnf_or_pos :args (@t425)) % 149.10/149.33 (step @p471 :rule reordering :premises (@p470) :args ((or @t282 @t281 @t279 @t361 @t424 (not @t425)))) % 149.10/149.33 (step @p472 :rule chain_m_resolution :premises (@p471 @p232 @p230 @p171 @p327 @p469) :args (@t424 @t313 (@list @t282 @t280 @t273 @t357 @t425))) % 149.10/149.33 (step @p473 :rule true_intro :premises (@p472)) % 149.10/149.33 (step @p474 :rule refl :args (@t405)) % 149.10/149.33 (step @p475 :rule cong :premises (@p330 @p474) :args (@t426)) % 149.10/149.33 (step @p476 :rule trans :premises (@p475 @p473)) % 149.10/149.33 (step @p477 :rule true_elim :premises (@p476)) % 149.10/149.33 (step @p478 :rule cnf_or_pos :args (@t430)) % 149.10/149.33 (step @p479 :rule reordering :premises (@p478) :args ((or @t351 @t429 @t428 (not @t430)))) % 149.10/149.33 (step @p480 :rule chain_m_resolution :premises (@p479 @p426 @p477 @p449) :args (@t428 @t422 (@list @t351 @t426 @t430))) % 149.10/149.33 (step @p481 :rule cnf_and_pos :args (@t428 0)) % 149.10/149.33 (step @p482 :rule reordering :premises (@p481) :args ((or @t419 (not @t428)))) % 149.10/149.33 (step @p483 :rule chain_m_resolution :premises (@p482 @p480) :args (@t419 @t308 (@list @t428))) % 149.10/149.33 (step @p484 :rule aci_norm :args ((= (or (or @t33 @t379 @t378) @t208) (or @t33 @t379 @t378 @t208)))) % 149.10/149.33 (step @p485 :rule refl :args (@t208)) % 149.10/149.33 (step @p486 :rule refl :args (@t378)) % 149.10/149.33 (step @p487 :rule refl :args (@t379)) % 149.10/149.33 (step @p488 :rule nary_cong :premises (@p417 @p487 @p486) :args (@t431)) % 149.10/149.33 (step @p489 :rule aci_norm :args ((= (or @t409 @t380) @t431))) % 149.10/149.33 (step @p490 :rule trans :premises (@p489 @p488)) % 149.10/149.33 (step @p491 :rule refl :args (@t409)) % 149.10/149.33 (step @p492 :rule nary_cong :premises (@p491 @p349) :args ((or @t409 @t381))) % 149.10/149.33 (step @p493 :rule bool-and-de-morgan :args (@t42 @t65 (and @t64))) % 149.10/149.33 (step @p494 :rule trans :premises (@p493 @p492)) % 149.10/149.33 (step @p495 :rule trans :premises (@p494 @p490)) % 149.10/149.33 (step @p496 :rule nary_cong :premises (@p495 @p485) :args ((or (not @t209) @t208))) % 149.10/149.33 (step @p497 :rule trans :premises (@p496 @p484)) % 149.10/149.33 (step @p498 :rule bool-impl-elim :args (@t209 @t208)) % 149.10/149.33 (step @p499 :rule trans :premises (@p498 @p497)) % 149.10/149.33 (step @p500 :rule cong :premises (@p499) :args (@t210)) % 149.10/149.33 (step @p501 :rule eq_resolve :premises (@p110 @p500)) % 149.10/149.33 (step @p502 :rule instantiate :premises (@p501) :args ((@list @t275 @t326 @t324))) % 149.10/149.33 (step @p503 :rule instantiate :premises (@p299) :args (@t432)) % 149.10/149.33 (step @p504 :rule instantiate :premises (@p317) :args (@t432)) % 149.10/149.33 (step @p505 :rule aci_norm :args ((= (or @t433 @t111) (or @t17 @t265 @t264 @t73 @t331 @t111)))) % 149.10/149.33 (step @p506 :rule refl :args (@t111)) % 149.10/149.33 (step @p507 :rule nary_cong :premises (@p135 @p134 @p133 @p373 @p372) :args (@t434)) % 149.10/149.33 (step @p508 :rule aci_norm :args ((= (or @t270 (or @t265 (or @t264 @t398))) @t434))) % 149.10/149.33 (step @p509 :rule trans :premises (@p508 @p507)) % 149.10/149.33 (step @p510 :rule nary_cong :premises (@p133 @p375) :args ((or @t264 @t399))) % 149.10/149.33 (step @p511 :rule bool-and-de-morgan :args (@t15 @t74 (and @t72))) % 149.10/149.33 (step @p512 :rule trans :premises (@p511 @p510)) % 149.10/149.33 (step @p513 :rule nary_cong :premises (@p134 @p512) :args ((or @t265 (not (and @t15 @t74 @t72))))) % 149.10/149.33 (step @p514 :rule bool-and-de-morgan :args (@t16 @t15 (and @t74 @t72))) % 149.10/149.33 (step @p515 :rule trans :premises (@p514 @p513)) % 149.10/149.33 (step @p516 :rule nary_cong :premises (@p140 @p515) :args ((or @t270 (not (and @t16 @t15 @t74 @t72))))) % 149.10/149.33 (step @p517 :rule bool-and-de-morgan :args (@t18 @t16 (and @t15 @t74 @t72))) % 149.10/149.33 (step @p518 :rule trans :premises (@p517 @p516)) % 149.10/149.33 (step @p519 :rule trans :premises (@p518 @p509)) % 149.10/149.33 (step @p520 :rule nary_cong :premises (@p519 @p506) :args ((or @t435 @t111))) % 149.10/149.33 (step @p521 :rule trans :premises (@p520 @p505)) % 149.10/149.33 (step @p522 :rule bool-impl-elim :args (@t112 @t111)) % 149.10/149.33 (step @p523 :rule trans :premises (@p522 @p521)) % 149.10/149.33 (step @p524 :rule cong :premises (@p523) :args (@t113)) % 149.10/149.33 (step @p525 :rule eq_resolve :premises (@p26 @p524)) % 149.10/149.33 (step @p526 :rule instantiate :premises (@p525) :args (@t436)) % 149.10/149.33 (step @p527 :rule aci_norm :args ((= (or @t438 @t117) (or @t17 @t265 @t264 @t73 @t331 @t69 @t437 @t117)))) % 149.10/149.33 (step @p528 :rule refl :args (@t117)) % 149.10/149.33 (step @p529 :rule refl :args (@t437)) % 149.10/149.33 (step @p530 :rule nary_cong :premises (@p135 @p134 @p133 @p373 @p372 @p385 @p529) :args (@t439)) % 149.10/149.33 (step @p531 :rule aci_norm :args ((= (or @t270 (or @t265 (or @t264 (or @t397 (or @t331 @t440))))) @t439))) % 149.10/149.33 (step @p532 :rule trans :premises (@p531 @p530)) % 149.10/149.33 (step @p533 :rule bool-and-de-morgan :args (@t70 @t68 true)) % 149.10/149.33 (step @p534 :rule nary_cong :premises (@p372 @p533) :args ((or @t331 @t441))) % 149.10/149.33 (step @p535 :rule bool-and-de-morgan :args (@t72 @t70 (and @t68))) % 149.10/149.33 (step @p536 :rule trans :premises (@p535 @p534)) % 149.10/149.33 (step @p537 :rule refl :args (@t397)) % 149.10/149.33 (step @p538 :rule nary_cong :premises (@p537 @p536) :args ((or @t397 (not (and @t72 @t70 @t68))))) % 149.10/149.33 (step @p539 :rule bool-and-de-morgan :args (@t74 @t72 (and @t70 @t68))) % 149.10/149.33 (step @p540 :rule trans :premises (@p539 @p538)) % 149.10/149.33 (step @p541 :rule nary_cong :premises (@p133 @p540) :args ((or @t264 (not (and @t74 @t72 @t70 @t68))))) % 149.10/149.33 (step @p542 :rule bool-and-de-morgan :args (@t15 @t74 (and @t72 @t70 @t68))) % 149.10/149.33 (step @p543 :rule trans :premises (@p542 @p541)) % 149.10/149.33 (step @p544 :rule nary_cong :premises (@p134 @p543) :args ((or @t265 (not (and @t15 @t74 @t72 @t70 @t68))))) % 149.10/149.33 (step @p545 :rule bool-and-de-morgan :args (@t16 @t15 (and @t74 @t72 @t70 @t68))) % 149.10/149.33 (step @p546 :rule trans :premises (@p545 @p544)) % 149.10/149.33 (step @p547 :rule nary_cong :premises (@p140 @p546) :args ((or @t270 (not (and @t16 @t15 @t74 @t72 @t70 @t68))))) % 149.10/149.33 (step @p548 :rule bool-and-de-morgan :args (@t18 @t16 (and @t15 @t74 @t72 @t70 @t68))) % 149.10/149.33 (step @p549 :rule trans :premises (@p548 @p547)) % 149.10/149.33 (step @p550 :rule trans :premises (@p549 @p532)) % 149.10/149.33 (step @p551 :rule nary_cong :premises (@p550 @p528) :args ((or @t442 @t117))) % 149.10/149.33 (step @p552 :rule trans :premises (@p551 @p527)) % 149.10/149.33 (step @p553 :rule bool-impl-elim :args (@t118 @t117)) % 149.10/149.33 (step @p554 :rule trans :premises (@p553 @p552)) % 149.10/149.33 (step @p555 :rule cong :premises (@p554) :args (@t119)) % 149.10/149.33 (step @p556 :rule eq_resolve :premises (@p30 @p555)) % 149.10/149.33 (step @p557 :rule instantiate :premises (@p556) :args (@t443)) % 149.10/149.33 (step @p558 :rule cnf_and_pos :args (@t367 0)) % 149.10/149.33 (step @p559 :rule reordering :premises (@p558) :args ((or @t366 @t369))) % 149.10/149.33 (step @p560 :rule chain_m_resolution :premises (@p559 @p336) :args (@t366 @t308 @t370)) % 149.10/149.33 (step @p561 :rule cnf_or_pos :args (@t445)) % 149.10/149.33 (step @p562 :rule reordering :premises (@p561) :args ((or @t282 @t281 @t279 @t361 @t375 @t444 @t351 @t365 (not @t445)))) % 149.10/149.33 (step @p563 :rule chain_m_resolution :premises (@p562 @p232 @p230 @p171 @p327 @p342 @p426 @p560 @p557) :args (@t444 @t446 (@list @t282 @t280 @t273 @t357 @t371 @t351 @t365 @t445))) % 149.10/149.33 (step @p564 :rule aci_norm :args ((= (or @t438 @t170) (or @t17 @t265 @t264 @t73 @t331 @t69 @t437 @t170)))) % 149.10/149.33 (step @p565 :rule refl :args (@t170)) % 149.10/149.33 (step @p566 :rule nary_cong :premises (@p550 @p565) :args ((or @t442 @t170))) % 149.10/149.33 (step @p567 :rule trans :premises (@p566 @p564)) % 149.10/149.33 (step @p568 :rule bool-impl-elim :args (@t118 @t170)) % 149.10/149.33 (step @p569 :rule trans :premises (@p568 @p567)) % 149.10/149.33 (step @p570 :rule cong :premises (@p569) :args (@t171)) % 149.10/149.33 (step @p571 :rule eq_resolve :premises (@p72 @p570)) % 149.10/149.33 (step @p572 :rule instantiate :premises (@p571) :args (@t443)) % 149.10/149.33 (step @p573 :rule cnf_or_pos :args (@t449)) % 149.10/149.33 (step @p574 :rule reordering :premises (@p573) :args ((or @t282 @t281 @t279 @t361 @t375 @t351 @t365 @t448 (not @t449)))) % 149.10/149.33 (step @p575 :rule chain_m_resolution :premises (@p574 @p232 @p230 @p171 @p327 @p342 @p426 @p560 @p572) :args (@t448 @t446 (@list @t282 @t280 @t273 @t357 @t371 @t351 @t365 @t449))) % 149.10/149.33 (step @p576 :rule cnf_or_pos :args (@t452)) % 149.10/149.33 (step @p577 :rule reordering :premises (@p576) :args ((or @t282 @t281 @t279 @t447 @t451 @t450 (not @t452)))) % 149.10/149.33 (step @p578 :rule chain_m_resolution :premises (@p577 @p232 @p230 @p171 @p575 @p563 @p526) :args (@t450 @t453 (@list @t282 @t280 @t273 @t447 @t444 @t452))) % 149.10/149.33 (step @p579 :rule cnf_or_pos :args (@t457)) % 149.10/149.33 (step @p580 :rule reordering :premises (@p579) :args ((or @t456 @t455 (not @t457)))) % 149.10/149.33 (step @p581 :rule chain_m_resolution :premises (@p580 @p578 @p504) :args (@t455 @t292 (@list @t450 @t457))) % 149.10/149.33 (step @p582 :rule cnf_and_pos :args (@t455 1)) % 149.10/149.33 (step @p583 :rule reordering :premises (@p582) :args ((or @t454 (not @t455)))) % 149.10/149.33 (step @p584 :rule chain_m_resolution :premises (@p583 @p581) :args (@t454 @t308 (@list @t455))) % 149.10/149.33 (step @p585 :rule cnf_or_pos :args (@t460)) % 149.10/149.33 (step @p586 :rule reordering :premises (@p585) :args ((or @t458 @t459 (not @t460)))) % 149.10/149.33 (step @p587 :rule chain_m_resolution :premises (@p586 @p584 @p503) :args (@t458 @t292 (@list @t454 @t460))) % 149.10/149.33 (step @p588 :rule instantiate :premises (@p299) :args (@t461)) % 149.10/149.33 (step @p589 :rule instantiate :premises (@p317) :args (@t461)) % 149.10/149.33 (step @p590 :rule instantiate :premises (@p525) :args (@t462)) % 149.10/149.33 (step @p591 :rule cnf_or_pos :args (@t464)) % 149.10/149.33 (step @p592 :rule reordering :premises (@p591) :args ((or @t282 @t281 @t279 @t416 @t388 @t463 (not @t464)))) % 149.10/149.33 (step @p593 :rule chain_m_resolution :premises (@p592 @p232 @p230 @p171 @p445 @p359 @p590) :args (@t463 @t453 (@list @t282 @t280 @t273 @t416 @t383 @t464))) % 149.10/149.33 (step @p594 :rule cnf_or_pos :args (@t468)) % 149.10/149.33 (step @p595 :rule reordering :premises (@p594) :args ((or @t467 @t466 (not @t468)))) % 149.10/149.33 (step @p596 :rule chain_m_resolution :premises (@p595 @p593 @p589) :args (@t466 @t292 (@list @t463 @t468))) % 149.10/149.33 (step @p597 :rule cnf_and_pos :args (@t466 1)) % 149.10/149.33 (step @p598 :rule reordering :premises (@p597) :args ((or @t465 (not @t466)))) % 149.10/149.33 (step @p599 :rule chain_m_resolution :premises (@p598 @p596) :args (@t465 @t308 (@list @t466))) % 149.10/149.33 (step @p600 :rule cnf_or_pos :args (@t471)) % 149.10/149.33 (step @p601 :rule reordering :premises (@p600) :args ((or @t469 @t470 (not @t471)))) % 149.10/149.33 (step @p602 :rule chain_m_resolution :premises (@p601 @p599 @p588) :args (@t469 @t292 (@list @t465 @t471))) % 149.10/149.33 (step @p603 :rule aci_norm :args ((= (or (or @t17 @t472) @t162) (or @t17 @t472 @t162)))) % 149.10/149.33 (step @p604 :rule refl :args (@t162)) % 149.10/149.33 (step @p605 :rule refl :args (@t472)) % 149.10/149.33 (step @p606 :rule nary_cong :premises (@p135 @p605) :args ((or @t270 @t472))) % 149.10/149.33 (step @p607 :rule bool-and-de-morgan :args (@t18 @t133 true)) % 149.10/149.33 (step @p608 :rule trans :premises (@p607 @p606)) % 149.10/149.33 (step @p609 :rule nary_cong :premises (@p608 @p604) :args ((or (not @t163) @t162))) % 149.10/149.33 (step @p610 :rule trans :premises (@p609 @p603)) % 149.10/149.33 (step @p611 :rule bool-impl-elim :args (@t163 @t162)) % 149.10/149.33 (step @p612 :rule trans :premises (@p611 @p610)) % 149.10/149.33 (step @p613 :rule cong :premises (@p612) :args (@t164)) % 149.10/149.33 (step @p614 :rule eq_resolve :premises (@p65 @p613)) % 149.10/149.33 (step @p615 :rule instantiate :premises (@p614) :args (@t268)) % 149.10/149.33 (step @p616 :rule bool-impl-elim :args (@t60 @t133)) % 149.10/149.33 (step @p617 :rule cong :premises (@p616) :args (@t134)) % 149.10/149.33 (step @p618 :rule eq_resolve :premises (@p41 @p617)) % 149.10/149.33 (step @p619 :rule instantiate :premises (@p618) :args (@t268)) % 149.10/149.33 (step @p620 :rule bool-impl-elim :args (@t15 @t135)) % 149.10/149.33 (step @p621 :rule cong :premises (@p620) :args (@t136)) % 149.10/149.33 (step @p622 :rule eq_resolve :premises (@p43 @p621)) % 149.10/149.33 (step @p623 :rule instantiate :premises (@p622) :args (@t268)) % 149.10/149.33 (step @p624 :rule cnf_or_pos :args (@t476)) % 149.10/149.33 (step @p625 :rule reordering :premises (@p624) :args ((or @t279 @t475 (not @t476)))) % 149.10/149.33 (step @p626 :rule chain_m_resolution :premises (@p625 @p171 @p623) :args (@t475 @t292 (@list @t273 @t476))) % 149.10/149.33 (step @p627 :rule cnf_and_pos :args (@t475 0)) % 149.10/149.33 (step @p628 :rule reordering :premises (@p627) :args ((or @t474 @t477))) % 149.10/149.33 (step @p629 :rule chain_m_resolution :premises (@p628 @p626) :args (@t474 @t308 @t478)) % 149.10/149.33 (step @p630 :rule cnf_or_pos :args (@t481)) % 149.10/149.33 (step @p631 :rule reordering :premises (@p630) :args ((or @t480 @t479 (not @t481)))) % 149.10/149.33 (step @p632 :rule chain_m_resolution :premises (@p631 @p629 @p619) :args (@t479 @t292 (@list @t474 @t481))) % 149.10/149.33 (step @p633 :rule cnf_or_pos :args (@t485)) % 149.10/149.33 (step @p634 :rule reordering :premises (@p633) :args ((or @t282 @t484 @t483 (not @t485)))) % 149.10/149.33 (step @p635 :rule chain_m_resolution :premises (@p634 @p232 @p632 @p615) :args (@t483 @t422 (@list @t282 @t479 @t485))) % 149.10/149.33 (step @p636 :rule cnf_or_pos :args (@t490)) % 149.10/149.33 (step @p637 :rule reordering :premises (@p636) :args ((or @t482 @t489 @t488 @t487 (not @t490)))) % 149.10/149.33 (step @p638 :rule chain_m_resolution :premises (@p637 @p635 @p602 @p587 @p502) :args (@t487 @t339 (@list @t482 @t469 @t458 @t490))) % 149.10/149.33 (step @p639 :rule cnf_or_neg :args (@t328 1)) % 149.10/149.33 (step @p640 :rule chain_m_resolution :premises (@p639 @p249) :args ((not @t327) @t284 @t329)) % 149.10/149.33 (step @p641 :rule cnf_equiv_pos2 :args (@t487)) % 149.10/149.33 (step @p642 :rule reordering :premises (@p641) :args ((or @t327 @t491 (not @t487)))) % 149.10/149.33 (step @p643 :rule chain_m_resolution :premises (@p642 @p640 @p638) :args (@t491 @t413 (@list @t327 @t487))) % 149.10/149.33 (step @p644 :rule instantiate :premises (@p414) :args (@t340)) % 149.10/149.33 (step @p645 :rule cnf_or_pos :args (@t495)) % 149.10/149.33 (step @p646 :rule reordering :premises (@p645) :args ((or @t361 @t351 @t494 (not @t495)))) % 149.10/149.33 (step @p647 :rule chain_m_resolution :premises (@p646 @p327 @p426 @p644) :args (@t494 (@list false true false) (@list @t357 @t351 @t495))) % 149.10/149.33 (step @p648 :rule instantiate :premises (@p647) :args (@t496)) % 149.10/149.33 (step @p649 :rule instantiate :premises (@p468) :args (@t436)) % 149.10/149.33 (step @p650 :rule cnf_or_pos :args (@t499)) % 149.10/149.33 (step @p651 :rule reordering :premises (@p650) :args ((or @t282 @t281 @t279 @t451 @t498 (not @t499)))) % 149.10/149.33 (step @p652 :rule chain_m_resolution :premises (@p651 @p232 @p230 @p171 @p563 @p649) :args (@t498 @t313 (@list @t282 @t280 @t273 @t444 @t499))) % 149.10/149.33 (step @p653 :rule true_intro :premises (@p652)) % 149.10/149.33 (step @p654 :rule instantiate :premises (@p281) :args (@t496)) % 149.10/149.33 (step @p655 :rule cnf_or_pos :args (@t501)) % 149.10/149.33 (step @p656 :rule reordering :premises (@p655) :args ((or @t451 @t500 (not @t501)))) % 149.10/149.33 (step @p657 :rule chain_m_resolution :premises (@p656 @p563 @p654) :args (@t500 @t292 (@list @t444 @t501))) % 149.10/149.33 (step @p658 :rule cong :premises (@p657 @p474) :args (@t502)) % 149.10/149.33 (step @p659 :rule trans :premises (@p658 @p653)) % 149.10/149.33 (step @p660 :rule true_elim :premises (@p659)) % 149.10/149.33 (step @p661 :rule cnf_or_pos :args (@t509)) % 149.10/149.33 (step @p662 :rule reordering :premises (@p661) :args ((or @t447 @t508 @t507 (not @t509)))) % 149.10/149.33 (step @p663 :rule chain_m_resolution :premises (@p662 @p575 @p660 @p648) :args (@t507 @t422 (@list @t447 @t502 @t509))) % 149.10/149.33 (step @p664 :rule cnf_and_pos :args (@t507 3)) % 149.10/149.33 (step @p665 :rule reordering :premises (@p664) :args ((or @t506 (not @t507)))) % 149.10/149.33 (step @p666 :rule chain_m_resolution :premises (@p665 @p663) :args (@t506 @t308 (@list @t507))) % 149.10/149.33 (step @p667 :rule aci_norm :args ((= (or @t269 @t511) (or @t17 @t265 @t264 @t511)))) % 149.10/149.33 (step @p668 :rule refl :args (@t511)) % 149.10/149.33 (step @p669 :rule nary_cong :premises (@p144 @p668) :args ((or @t272 @t511))) % 149.10/149.33 (step @p670 :rule trans :premises (@p669 @p667)) % 149.10/149.33 (step @p671 :rule bool-impl-elim :args (@t19 @t511)) % 149.10/149.33 (step @p672 :rule trans :premises (@p671 @p670)) % 149.10/149.33 (step @p673 :rule cong :premises (@p672) :args ((forall @t21 (=> @t19 @t511)))) % 149.10/149.33 (step @p674 :rule bool-impl-elim :args (@t90 @t510)) % 149.10/149.33 (step @p675 :rule cong :premises (@p674) :args ((forall @t13 (=> @t90 @t510)))) % 149.10/149.33 (step @p676 :rule eq-symm :args (@t88 @t2)) % 149.10/149.33 (step @p677 :rule refl :args (@t90)) % 149.10/149.33 (step @p678 :rule cong :premises (@p677 @p676) :args (@t91)) % 149.10/149.33 (step @p679 :rule cong :premises (@p678) :args (@t92)) % 149.10/149.33 (step @p680 :rule trans :premises (@p679 @p675)) % 149.10/149.33 (step @p681 :rule cong :premises (@p158 @p680) :args (@t93)) % 149.10/149.33 (step @p682 :rule cong :premises (@p681) :args (@t94)) % 149.10/149.33 (step @p683 :rule trans :premises (@p682 @p673)) % 149.10/149.33 (step @p684 :rule eq_resolve :premises (@p22 @p683)) % 149.10/149.33 (step @p685 :rule instantiate :premises (@p684) :args (@t268)) % 149.10/149.33 (step @p686 :rule cnf_or_pos :args (@t513)) % 149.10/149.33 (step @p687 :rule reordering :premises (@p686) :args ((or @t282 @t281 @t279 @t512 (not @t513)))) % 149.10/149.33 (step @p688 :rule chain_m_resolution :premises (@p687 @p232 @p230 @p171 @p685) :args (@t512 @t339 (@list @t282 @t280 @t273 @t513))) % 149.10/149.33 (step @p689 :rule instantiate :premises (@p688) :args (@t496)) % 149.10/149.33 (step @p690 :rule cnf_or_pos :args (@t515)) % 149.10/149.33 (step @p691 :rule reordering :premises (@p690) :args ((or @t508 @t514 (not @t515)))) % 149.10/149.33 (step @p692 :rule chain_m_resolution :premises (@p691 @p660 @p689) :args (@t514 @t292 (@list @t502 @t515))) % 149.10/149.33 (step @p693 :rule instantiate :premises (@p688) :args (@t340)) % 149.10/149.33 (step @p694 :rule cnf_or_pos :args (@t517)) % 149.10/149.33 (step @p695 :rule reordering :premises (@p694) :args ((or @t429 @t516 (not @t517)))) % 149.10/149.33 (step @p696 :rule chain_m_resolution :premises (@p695 @p477 @p693) :args (@t516 @t292 (@list @t426 @t517))) % 149.10/149.33 (step @p697 :rule instantiate :premises (@p688) :args (@t363)) % 149.10/149.33 (step @p698 :rule instantiate :premises (@p468) :args (@t320)) % 149.10/149.33 (step @p699 :rule cnf_or_pos :args (@t519)) % 149.10/149.33 (step @p700 :rule reordering :premises (@p699) :args ((or @t282 @t281 @t279 @t375 @t518 (not @t519)))) % 149.10/149.33 (step @p701 :rule chain_m_resolution :premises (@p700 @p232 @p230 @p171 @p342 @p698) :args (@t518 @t313 (@list @t282 @t280 @t273 @t371 @t519))) % 149.10/149.33 (step @p702 :rule true_intro :premises (@p701)) % 149.10/149.33 (step @p703 :rule cong :premises (@p345 @p474) :args (@t520)) % 149.10/149.33 (step @p704 :rule trans :premises (@p703 @p702)) % 149.10/149.33 (step @p705 :rule true_elim :premises (@p704)) % 149.10/149.33 (step @p706 :rule cnf_or_pos :args (@t524)) % 149.10/149.33 (step @p707 :rule reordering :premises (@p706) :args ((or @t523 @t522 (not @t524)))) % 149.10/149.33 (step @p708 :rule chain_m_resolution :premises (@p707 @p705 @p697) :args (@t522 @t292 (@list @t520 @t524))) % 149.10/149.33 (step @p709 :rule aci_norm :args ((= (or @t533 @t525) @t532))) % 149.10/149.33 (step @p710 :rule refl :args (@t525)) % 149.10/149.33 (step @p711 :rule aci_norm :args ((= (or @t531 (or @t530 (or @t529 (or @t528 (or @t527 @t526))))) @t533))) % 149.10/149.33 (step @p712 :rule bool-and-de-morgan :args (@t100 @t99 true)) % 149.10/149.33 (step @p713 :rule refl :args (@t528)) % 149.10/149.33 (step @p714 :rule nary_cong :premises (@p713 @p712) :args ((or @t528 (not (and @t100 @t99))))) % 149.10/149.33 (step @p715 :rule bool-and-de-morgan :args (@t101 @t100 (and @t99))) % 149.10/149.33 (step @p716 :rule trans :premises (@p715 @p714)) % 149.10/149.33 (step @p717 :rule refl :args (@t529)) % 149.10/149.33 (step @p718 :rule nary_cong :premises (@p717 @p716) :args ((or @t529 (not (and @t101 @t100 @t99))))) % 149.10/149.33 (step @p719 :rule bool-and-de-morgan :args (@t102 @t101 (and @t100 @t99))) % 149.10/149.33 (step @p720 :rule trans :premises (@p719 @p718)) % 149.10/149.33 (step @p721 :rule refl :args (@t530)) % 149.10/149.33 (step @p722 :rule nary_cong :premises (@p721 @p720) :args ((or @t530 (not (and @t102 @t101 @t100 @t99))))) % 149.10/149.33 (step @p723 :rule bool-and-de-morgan :args (@t103 @t102 (and @t101 @t100 @t99))) % 149.10/149.33 (step @p724 :rule trans :premises (@p723 @p722)) % 149.10/149.33 (step @p725 :rule refl :args (@t531)) % 149.10/149.33 (step @p726 :rule nary_cong :premises (@p725 @p724) :args ((or @t531 (not (and @t103 @t102 @t101 @t100 @t99))))) % 149.10/149.33 (step @p727 :rule bool-and-de-morgan :args (@t104 @t103 (and @t102 @t101 @t100 @t99))) % 149.10/149.33 (step @p728 :rule trans :premises (@p727 @p726)) % 149.10/149.33 (step @p729 :rule trans :premises (@p728 @p711)) % 149.10/149.33 (step @p730 :rule nary_cong :premises (@p729 @p710) :args ((or (not @t105) @t525))) % 149.10/149.33 (step @p731 :rule trans :premises (@p730 @p709)) % 149.10/149.33 (step @p732 :rule bool-impl-elim :args (@t105 @t525)) % 149.10/149.33 (step @p733 :rule trans :premises (@p732 @p731)) % 149.10/149.33 (step @p734 :rule cong :premises (@p733) :args ((forall @t47 (=> @t105 @t525)))) % 149.10/149.33 (step @p735 :rule bool-impl-elim :args (@t189 @t187)) % 149.10/149.33 (step @p736 :rule cong :premises (@p735) :args (@t191)) % 149.10/149.33 (step @p737 :rule refl :args (@t105)) % 149.10/149.33 (step @p738 :rule cong :premises (@p737 @p736) :args (@t192)) % 149.10/149.33 (step @p739 :rule cong :premises (@p738) :args (@t193)) % 149.10/149.33 (step @p740 :rule trans :premises (@p739 @p734)) % 149.10/149.33 (step @p741 :rule eq_resolve :premises (@p84 @p740)) % 149.10/149.33 (step @p742 :rule eq-symm :args (@t286 @t120)) % 149.10/149.33 (step @p743 :rule eq-symm :args (@t287 @t121)) % 149.10/149.33 (step @p744 :rule eq-symm :args (@t275 @t122)) % 149.10/149.33 (step @p745 :rule nary_cong :premises (@p744 @p743 @p742) :args (@t534)) % 149.10/149.33 (step @p746 :rule eq-symm :args (@t288 @t188)) % 149.10/149.33 (step @p747 :rule cong :premises (@p746) :args (@t535)) % 149.10/149.33 (step @p748 :rule nary_cong :premises (@p747 @p745) :args (@t536)) % 149.10/149.33 (step @p749 :rule cong :premises (@p748) :args (@t537)) % 149.10/149.33 (step @p750 :rule refl :args (@t540)) % 149.10/149.33 (step @p751 :rule refl :args (@t542)) % 149.10/149.33 (step @p752 :rule refl :args (@t544)) % 149.10/149.33 (step @p753 :rule refl :args (@t546)) % 149.10/149.33 (step @p754 :rule refl :args (@t548)) % 149.10/149.33 (step @p755 :rule refl :args (@t550)) % 149.10/149.33 (step @p756 :rule nary_cong :premises (@p755 @p754 @p753 @p752 @p751 @p750 @p749) :args (@t551)) % 149.10/149.33 (step @p757 :rule refl :args (@t552)) % 149.10/149.33 (step @p758 :rule cong :premises (@p757 @p756) :args ((=> @t552 @t551))) % 149.10/149.33 (assume-push @p1259 @t552) % 149.10/149.33 (step @p760 :rule instantiate 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149.10/149.33 (step @p894 :rule refl :args (@t585)) % 149.10/149.33 (step @p895 :rule nary_cong :premises (@p894 @p893 @p892 @p891 @p890 @p889) :args (@t603)) % 149.10/149.33 (step @p896 :rule refl :args (@t604)) % 149.10/149.33 (step @p897 :rule cong :premises (@p896 @p895) :args ((=> @t604 @t603))) % 149.10/149.33 (assume-push @p1263 @t604) % 149.10/149.33 (step @p899 :rule instantiate :premises (@p888) :args ((@list @t289 @t325))) % 149.10/149.33 (step-pop @p1264 :rule scope :premises (@p899)) % 149.10/149.33 (step @p900 :rule process_scope :premises (@p1264) :args (@t603)) % 149.10/149.33 (step @p902 :rule eq_resolve :premises (@p900 @p897)) % 149.10/149.33 (step @p903 :rule implies_elim :premises (@p902)) % 149.10/149.33 (step @p904 :rule chain_m_resolution :premises (@p903 @p888) :args (@t606 @t308 @t607)) % 149.10/149.33 (step @p905 :rule instantiate :premises (@p468) :args (@t462)) % 149.10/149.33 (step @p906 :rule cnf_or_pos :args (@t609)) % 149.10/149.33 (step @p907 :rule 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149.10/149.33 (step @p1063 :rule refl :args (@t651)) % 149.10/149.33 (step @p1064 :rule bool-double-not-elim :args (@t183)) % 149.10/149.33 (step @p1065 :rule nary_cong :premises (@p1064 @p1063) :args ((or (not @t184) @t651))) % 149.10/149.33 (step @p1066 :rule bool-and-de-morgan :args (@t184 @t242 true)) % 149.10/149.33 (step @p1067 :rule trans :premises (@p1066 @p1065)) % 149.10/149.33 (step @p1068 :rule nary_cong :premises (@p1067 @p1062) :args ((or (not @t243) @t650))) % 149.10/149.33 (step @p1069 :rule trans :premises (@p1068 @p1061)) % 149.10/149.33 (step @p1070 :rule bool-impl-elim :args (@t243 @t650)) % 149.10/149.33 (step @p1071 :rule trans :premises (@p1070 @p1069)) % 149.10/149.33 (step @p1072 :rule cong :premises (@p1071) :args ((forall @t245 (=> @t243 @t650)))) % 149.10/149.33 (step @p1073 :rule aci_norm :args ((= (or (or @t236 @t648) @t647) @t649))) % 149.10/149.33 (step @p1074 :rule refl :args (@t647)) % 149.10/149.33 (step @p1075 :rule refl :args (@t648)) % 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149.10/149.33 (step @p1128 :rule exists-elim :args ((= @t195 @t673))) % 149.10/149.33 (step @p1129 :rule trans :premises (@p1128 @p1127)) % 149.10/149.33 (step @p1130 :rule cong :premises (@p158 @p1129) :args (@t196)) % 149.10/149.33 (step @p1131 :rule cong :premises (@p1130) :args (@t197)) % 149.10/149.33 (step @p1132 :rule trans :premises (@p1131 @p1121)) % 149.10/149.33 (step @p1133 :rule eq_resolve :premises (@p88 @p1132)) % 149.10/149.33 (step @p1134 :rule instantiate :premises (@p1133) :args (@t268)) % 149.10/149.33 (step @p1135 :rule cnf_or_pos :args (@t675)) % 149.10/149.33 (step @p1136 :rule reordering :premises (@p1135) :args ((or @t282 @t281 @t279 @t674 (not @t675)))) % 149.10/149.33 (step @p1137 :rule chain_m_resolution :premises (@p1136 @p232 @p230 @p171 @p1134) :args (@t674 @t339 (@list @t282 @t280 @t273 @t675))) % 149.10/149.33 (step @p1138 :rule skolemize :premises (@p1137)) % 149.10/149.33 (step @p1139 :rule bool-double-not-elim :args (@t676)) % 149.10/149.33 (step 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149.10/149.33 (step @p1152 :rule reordering :premises (@p1151) :args ((or @t677 @t685 @t684 (not @t686)))) % 149.10/149.33 (step @p1153 :rule chain_m_resolution :premises (@p1152 @p1150 @p1148 @p1113) :args (@t684 @t422 (@list @t677 @t681 @t686))) % 149.10/149.33 (step @p1154 :rule instantiate :premises (@p1153) :args (@t377)) % 149.10/149.33 (step @p1155 :rule cnf_or_pos :args (@t690)) % 149.10/149.33 (step @p1156 :rule reordering :premises (@p1155) :args ((or @t416 @t388 @t689 (not @t690)))) % 149.10/149.33 (step @p1157 :rule chain_m_resolution :premises (@p1156 @p445 @p359 @p1154) :args (@t689 @t422 (@list @t416 @t383 @t690))) % 149.10/149.33 (step @p1158 :rule instantiate :premises (@p1157) :args (@t340)) % 149.10/149.33 (step @p1159 :rule cnf_or_pos :args (@t692)) % 149.10/149.33 (step @p1160 :rule reordering :premises (@p1159) :args ((or @t351 @t429 @t691 (not @t692)))) % 149.10/149.33 (step @p1161 :rule chain_m_resolution :premises (@p1160 @p426 @p477 @p1158) :args (@t691 @t422 (@list @t351 @t426 @t692))) % 149.10/149.33 (step @p1162 :rule eq-symm :args (@t693 @t694)) % 149.10/149.33 (step @p1163 :rule refl :args (@t695)) % 149.10/149.33 (step @p1164 :rule refl :args (@t687)) % 149.10/149.33 (step @p1165 :rule refl :args (@t688)) % 149.10/149.33 (step @p1166 :rule nary_cong :premises (@p1165 @p1164 @p1163 @p1162) :args (@t696)) % 149.10/149.33 (step @p1167 :rule refl :args (@t523)) % 149.10/149.33 (step @p1168 :rule refl :args (@t365)) % 149.10/149.33 (step @p1169 :rule nary_cong :premises (@p1168 @p1167 @p1166) :args (@t697)) % 149.10/149.33 (step @p1170 :rule refl :args (@t691)) % 149.10/149.33 (step @p1171 :rule cong :premises (@p1170 @p1169) :args ((=> @t691 @t697))) % 149.10/149.33 (assume-push @p1271 @t691) % 149.10/149.33 (step @p1173 :rule instantiate :premises (@p1161) :args (@t363)) % 149.10/149.33 (step-pop @p1272 :rule scope :premises (@p1173)) % 149.10/149.33 (step @p1174 :rule process_scope :premises (@p1272) :args (@t697)) % 149.10/149.33 (step @p1176 :rule eq_resolve :premises (@p1174 @p1171)) % 149.10/149.33 (step @p1177 :rule implies_elim :premises (@p1176)) % 149.10/149.33 (step @p1178 :rule chain_m_resolution :premises (@p1177 @p1161) :args (@t700 @t308 (@list @t691))) % 149.10/149.33 (step @p1179 :rule cnf_or_pos :args (@t700)) % 149.10/149.33 (step @p1180 :rule reordering :premises (@p1179) :args ((or @t365 @t523 @t699 (not @t700)))) % 149.10/149.33 (step @p1181 :rule chain_m_resolution :premises (@p1180 @p560 @p705 @p1178) :args (@t699 @t422 (@list @t365 @t520 @t700))) % 149.10/149.33 (step @p1182 :rule cnf_and_pos :args (@t699 3)) % 149.10/149.33 (step @p1183 :rule reordering :premises (@p1182) :args ((or @t698 (not @t699)))) % 149.10/149.33 (step @p1184 :rule chain_m_resolution :premises (@p1183 @p1181) :args (@t698 @t308 (@list @t699))) % 149.10/149.33 (assume-push @p1273 @t290) % 149.10/149.33 (assume-push @p1274 @t306) % 149.10/149.33 (assume-push @p1275 @t321) % 149.10/149.33 (assume-push @p1276 @t360) % 149.10/149.33 (assume-push @p1277 @t374) % 149.10/149.33 (assume-push @p1278 @t419) % 149.10/149.33 (assume-push @p1279 @t387) % 149.10/149.33 (assume-push @p1280 @t506) % 149.10/149.33 (assume-push @p1281 @t514) % 149.10/149.33 (assume-push @p1282 @t516) % 149.10/149.33 (assume-push @p1283 @t522) % 149.10/149.33 (assume-push @p1284 @t574) % 127.37/149.43 (assume-push @p1285 @t605) % 127.37/149.43 (assume-push @p1286 @t615) % 127.37/149.43 (assume-push @p1287 @t698) % 127.37/149.43 (assume-push @p1288 @t644) % 127.37/149.43 (step @p1201 :rule symm :premises (@p692)) % 127.37/149.43 (step @p1202 :rule refl :args (@t267)) % 127.37/149.43 (step @p1203 :rule cong :premises (@p1202 @p1201) :args (@t504)) % 127.37/149.43 (step @p1204 :rule symm :premises (@p948)) % 127.37/149.43 (step @p1205 :rule symm :premises (@p708)) % 127.37/149.43 (step @p1206 :rule symm :premises (@p696)) % 127.37/149.43 (step @p1207 :rule cong :premises (@p1202 @p1206 @p1205) :args (@t693)) % 127.37/149.43 (step @p1208 :rule refl :args (@t314)) % 127.37/149.43 (step @p1209 :rule symm :premises (@p330)) % 127.37/149.43 (step @p1210 :rule trans :premises (@p235 @p1209)) % 127.37/149.43 (step @p1211 :rule cong :premises (@p868 @p1210 @p1208) :args (@t701)) % 127.37/149.43 (step @p1212 :rule symm :premises (@p345)) % 127.37/149.43 (step @p1213 :rule trans :premises (@p259 @p1212)) % 127.37/149.43 (step @p1214 :rule refl :args (@t300)) % 127.37/149.43 (step @p1215 :rule refl :args (@t288)) % 127.37/149.43 (step @p1216 :rule cong :premises (@p1215 @p1214 @p1213) :args (@t702)) % 127.37/149.43 (step @p1217 :rule trans :premises (@p1216 @p1211 @p1184 @p1207)) % 127.37/149.43 (step @p1218 :rule cong :premises (@p868 @p1217) :args ((tptp.k3_filter_0 @t288 @t702))) % 127.37/149.43 (step @p1219 :rule symm :premises (@p1216)) % 127.37/149.43 (step @p1220 :rule cong :premises (@p1215 @p1219) :args ((tptp.k3_filter_0 @t288 @t701))) % 127.37/149.43 (step @p1221 :rule cong :premises (@p174 @p1214 @p1213) :args (@t642)) % 127.37/149.43 (step @p1222 :rule cong :premises (@p174 @p1221) :args (@t643)) % 127.37/149.43 (step @p1223 :rule symm :premises (@p1213)) % 127.37/149.43 (step @p1224 :rule symm :premises (@p1210)) % 127.37/149.43 (step @p1225 :rule cong :premises (@p875 @p1224 @p1223) :args (@t325)) % 127.37/149.43 (step @p1226 :rule symm :premises (@p362)) % 127.37/149.43 (step @p1227 :rule trans :premises (@p1226 @p1225)) % 127.37/149.43 (step @p1228 :rule refl :args (@t289)) % 127.37/149.43 (step @p1229 :rule cong :premises (@p1228 @p1227) :args ((tptp.k3_filter_0 @t289 @t386))) % 127.37/149.43 (step @p1230 :rule cong :premises (@p1228 @p362) :args (@t597)) % 127.37/149.43 (step @p1231 :rule cong :premises (@p1228 @p1226) :args (@t418)) % 127.37/149.43 (step @p1232 :rule trans :premises (@p483 @p1231 @p933 @p1230 @p1229 @p1037 @p1222 @p1220 @p1218 @p1204 @p666 @p1203)) % 127.37/149.43 (step-pop @p1289 :rule scope :premises (@p1232)) % 127.37/149.43 (step-pop @p1290 :rule scope :premises (@p1289)) % 127.37/149.43 (step-pop @p1291 :rule scope :premises (@p1290)) % 127.37/149.43 (step-pop @p1292 :rule scope :premises (@p1291)) % 127.37/149.43 (step-pop @p1293 :rule scope :premises (@p1292)) % 127.37/149.43 (step-pop @p1294 :rule scope :premises (@p1293)) % 127.37/149.43 (step-pop @p1295 :rule scope :premises (@p1294)) % 127.37/149.43 (step-pop @p1296 :rule scope :premises (@p1295)) % 127.37/149.43 (step-pop @p1297 :rule scope :premises (@p1296)) % 127.37/149.43 (step-pop @p1298 :rule scope :premises (@p1297)) % 127.37/149.43 (step-pop @p1299 :rule scope :premises (@p1298)) % 127.37/149.43 (step-pop @p1300 :rule scope :premises (@p1299)) % 127.37/149.43 (step-pop @p1301 :rule scope :premises (@p1300)) % 127.37/149.43 (step-pop @p1302 :rule scope :premises (@p1301)) % 127.37/149.43 (step-pop @p1303 :rule scope :premises (@p1302)) % 127.37/149.43 (step-pop @p1304 :rule scope :premises (@p1303)) % 127.37/149.43 (step @p1233 :rule process_scope :premises (@p1304) :args (@t486)) % 127.37/149.43 (step @p1250 :rule implies_elim :premises (@p1233)) % 127.37/149.43 (step @p1251 :rule cnf_and_neg :args (@t703)) % 127.37/149.43 (step @p1252 :rule resolution :premises (@p1251 @p1250) :args (true @t703)) % 127.37/149.43 (step @p1253 :rule reordering :premises (@p1252) :args ((or @t486 (not @t290) (not @t306) (not @t321) (not @t360) (not @t374) (not @t387) (not @t506) (not @t419) (not @t514) (not @t516) (not @t522) (not @t574) (not @t605) (not @t615) (not @t698) (not @t644)))) % 127.37/149.43 (step @p1254 false :rule chain_m_resolution :premises (@p1253 @p1184 @p1037 @p948 @p933 @p875 @p708 @p696 @p692 @p666 @p643 @p483 @p362 @p345 @p330 @p259 @p235 @p174) :args (false (@list false false false false false false false false false true false false false false false false false) (@list @t698 @t644 @t615 @t605 @t574 @t522 @t516 @t514 @t506 @t486 @t419 @t387 @t374 @t360 @t321 @t306 @t290))) % 127.37/149.43 ) % 127.37/149.43 % SZS output end Proof % 127.37/149.43 % cvc5 exiting %------------------------------------------------------------------------------