%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT306+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 : n028.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 08:30:13 AM UTC 2026 % Result : Theorem 34.52s 34.96s % Output : Proof 34.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT306+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 : n028.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 06:19:05 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.52/34.96 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.52/34.96 --- Run --no-e-matching --full-saturate-quant at 6... % 34.52/34.96 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.52/34.96 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.52/34.96 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.52/34.96 % SZS status Theorem % 34.52/34.96 % SZS output start Proof % 34.52/34.96 ( % 34.52/34.96 (declare-sort $$unsorted 0) % 34.52/34.96 (declare-const tptp.r1_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.k1_xboole_0 $$unsorted) % 34.52/34.96 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.k5_lattices (-> $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.k2_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.a_2_0_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.k5_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.k1_filter_0 (-> $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.a_2_0_filter_0 (-> $$unsorted $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.r3_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.k1_filter_2 (-> $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.r1_filter_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.k17_filter_2 (-> $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.k18_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.k6_lattices (-> $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.k2_filter_0 (-> $$unsorted $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.52/34.96 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 34.52/34.96 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 34.52/34.96 (define @t1 () (@var "A" $$unsorted)) % 34.52/34.96 (define @t2 () (tptp.k6_lattices @t1)) % 34.52/34.96 (define @t3 () (tptp.k17_filter_2 @t1)) % 34.52/34.96 (define @t4 () (tptp.u1_struct_0 @t1)) % 34.52/34.96 (define @t5 () (tptp.r1_filter_2 @t4 @t3 (tptp.k18_filter_2 @t1 @t2))) % 34.52/34.96 (define @t6 () (tptp.v14_lattices @t1)) % 34.52/34.96 (define @t7 () (=> @t6 @t5)) % 34.52/34.96 (define @t8 () (tptp.l3_lattices @t1)) % 34.52/34.96 (define @t9 () (tptp.v10_lattices @t1)) % 34.52/34.96 (define @t10 () (tptp.v3_struct_0 @t1)) % 34.52/34.96 (define @t11 () (not @t10)) % 34.52/34.96 (define @t12 () (and @t11 @t9 @t8)) % 34.52/34.96 (define @t13 () (@list @t1)) % 34.52/34.96 (define @t14 () (forall @t13 (=> @t12 @t7))) % 34.52/34.96 (define @t15 () (not @t14)) % 34.52/34.96 (define @t16 () (tptp.u1_lattices @t1)) % 34.52/34.96 (define @t17 () (tptp.u2_lattices @t1)) % 34.52/34.96 (define @t18 () (= @t1 (tptp.g3_lattices @t4 @t17 @t16))) % 34.52/34.96 (define @t19 () (tptp.v3_lattices @t1)) % 34.52/34.96 (define @t20 () (=> @t19 @t18)) % 34.52/34.96 (define @t21 () (forall @t13 (=> @t8 @t20))) % 34.52/34.96 (define @t22 () (@var "B" $$unsorted)) % 34.52/34.96 (define @t23 () (tptp.r2_hidden @t1 @t22)) % 34.52/34.96 (define @t24 () (@list @t1 @t22)) % 34.52/34.96 (define @t25 () (tptp.v1_funct_1 @t1)) % 34.52/34.96 (define @t26 () (tptp.v1_xboole_0 @t1)) % 34.52/34.96 (define @t27 () (tptp.v9_lattices @t1)) % 34.52/34.96 (define @t28 () (tptp.v8_lattices @t1)) % 34.52/34.96 (define @t29 () (tptp.v7_lattices @t1)) % 34.52/34.96 (define @t30 () (tptp.v6_lattices @t1)) % 34.52/34.96 (define @t31 () (tptp.v5_lattices @t1)) % 34.52/34.96 (define @t32 () (tptp.v4_lattices @t1)) % 34.52/34.96 (define @t33 () (and @t11 @t32 @t31 @t30 @t29 @t28 @t27)) % 34.52/34.96 (define @t34 () (and @t11 @t9)) % 34.52/34.96 (define @t35 () (@var "C" $$unsorted)) % 34.52/34.96 (define @t36 () (tptp.k2_zfmisc_1 @t1 @t22)) % 34.52/34.96 (define @t37 () (tptp.m1_subset_1 @t35 (tptp.k1_zfmisc_1 @t36))) % 34.52/34.96 (define @t38 () (@list @t1 @t22 @t35)) % 34.52/34.96 (define @t39 () (tptp.v1_relat_1 @t1)) % 34.52/34.96 (define @t40 () (and @t39 @t25 (tptp.v2_funct_1 @t1))) % 34.52/34.96 (define @t41 () (and @t39 @t26 @t25)) % 34.52/34.96 (define @t42 () (tptp.v15_lattices @t1)) % 34.52/34.96 (define @t43 () (and @t11 @t42)) % 34.52/34.96 (define @t44 () (tptp.v13_lattices @t1)) % 34.52/34.96 (define @t45 () (and @t11 @t44 @t6)) % 34.52/34.96 (define @t46 () (tptp.k1_filter_0 @t1)) % 34.52/34.96 (define @t47 () (=> @t12 (= @t46 @t4))) % 34.52/34.96 (define @t48 () (forall @t13 @t47)) % 34.52/34.96 (define @t49 () (tptp.k1_lattice2 @t1)) % 34.52/34.96 (define @t50 () (= @t49 (tptp.g3_lattices @t4 @t16 @t17))) % 34.52/34.96 (define @t51 () (forall @t13 (=> @t8 @t50))) % 34.52/34.96 (define @t52 () (tptp.k2_filter_0 @t1 @t22)) % 34.52/34.96 (define @t53 () (tptp.m1_subset_1 @t22 @t4)) % 34.52/34.96 (define @t54 () (@list @t22)) % 34.52/34.96 (define @t55 () (tptp.k5_filter_2 @t1 @t22)) % 34.52/34.96 (define @t56 () (=> @t53 (= @t55 @t22))) % 34.52/34.96 (define @t57 () (forall @t54 @t56)) % 34.52/34.96 (define @t58 () (=> @t12 @t57)) % 34.52/34.96 (define @t59 () (forall @t13 @t58)) % 34.52/34.96 (define @t60 () (=> @t12 (= @t3 @t4))) % 34.52/34.96 (define @t61 () (forall @t13 @t60)) % 34.52/34.96 (define @t62 () (tptp.k18_filter_2 @t1 @t22)) % 34.52/34.96 (define @t63 () (tptp.g3_lattices @t1 @t22 @t35)) % 34.52/34.96 (define @t64 () (tptp.v3_lattices @t63)) % 34.52/34.96 (define @t65 () (and @t64 (tptp.l3_lattices @t63))) % 34.52/34.96 (define @t66 () (tptp.k2_zfmisc_1 @t1 @t1)) % 34.52/34.96 (define @t67 () (tptp.m1_relset_1 @t35 @t66 @t1)) % 34.52/34.96 (define @t68 () (tptp.v1_funct_2 @t35 @t66 @t1)) % 34.52/34.96 (define @t69 () (tptp.v1_funct_1 @t35)) % 34.52/34.96 (define @t70 () (tptp.m1_relset_1 @t22 @t66 @t1)) % 34.52/34.96 (define @t71 () (tptp.v1_funct_2 @t22 @t66 @t1)) % 34.52/34.96 (define @t72 () (tptp.v1_funct_1 @t22)) % 34.52/34.96 (define @t73 () (and @t72 @t71 @t70 @t69 @t68 @t67)) % 34.52/34.96 (define @t74 () (forall @t38 (=> @t73 @t65))) % 34.52/34.96 (define @t75 () (tptp.m2_filter_2 @t62 @t1)) % 34.52/34.96 (define @t76 () (and @t11 @t9 @t8 @t53)) % 34.52/34.96 (define @t77 () (forall @t24 (=> @t76 @t75))) % 34.52/34.96 (define @t78 () (tptp.m1_filter_0 @t46 @t1)) % 34.52/34.96 (define @t79 () (forall @t13 (=> @t12 @t78))) % 34.52/34.96 (define @t80 () (tptp.k1_filter_2 @t1)) % 34.52/34.96 (define @t81 () (tptp.v3_lattices @t49)) % 34.52/34.96 (define @t82 () (and @t81 (tptp.l3_lattices @t49))) % 34.52/34.96 (define @t83 () (forall @t13 (=> @t8 @t82))) % 34.52/34.96 (define @t84 () (tptp.k2_filter_2 @t1 @t22)) % 34.52/34.96 (define @t85 () (tptp.k5_lattices @t1)) % 34.52/34.96 (define @t86 () (tptp.m1_subset_1 @t85 @t4)) % 34.52/34.96 (define @t87 () (tptp.l1_lattices @t1)) % 34.52/34.96 (define @t88 () (and @t11 @t87)) % 34.52/34.96 (define @t89 () (forall @t13 (=> @t88 @t86))) % 34.52/34.96 (define @t90 () (tptp.m1_subset_1 @t2 @t4)) % 34.52/34.96 (define @t91 () (tptp.l2_lattices @t1)) % 34.52/34.96 (define @t92 () (and @t11 @t91)) % 34.52/34.96 (define @t93 () (forall @t13 (=> @t92 @t90))) % 34.52/34.96 (define @t94 () (tptp.l1_struct_0 @t1)) % 34.52/34.96 (define @t95 () (forall @t13 (=> @t87 @t94))) % 34.52/34.96 (define @t96 () (and @t87 @t91)) % 34.52/34.96 (define @t97 () (forall @t13 (=> @t8 @t96))) % 34.52/34.96 (define @t98 () (tptp.k1_zfmisc_1 @t4)) % 34.52/34.96 (define @t99 () (tptp.m1_subset_1 @t22 @t98)) % 34.52/34.96 (define @t100 () (tptp.v1_xboole_0 @t22)) % 34.52/34.96 (define @t101 () (not @t100)) % 34.52/34.96 (define @t102 () (and @t101 @t99)) % 34.52/34.96 (define @t103 () (tptp.m1_filter_0 @t22 @t1)) % 34.52/34.96 (define @t104 () (forall @t54 (=> @t103 @t102))) % 34.52/34.96 (define @t105 () (=> @t12 @t104)) % 34.52/34.96 (define @t106 () (forall @t13 @t105)) % 34.52/34.96 (define @t107 () (tptp.m2_lattice4 @t22 @t1)) % 34.52/34.96 (define @t108 () (and @t101 @t107)) % 34.52/34.96 (define @t109 () (tptp.m1_filter_2 @t22 @t1)) % 34.52/34.96 (define @t110 () (tptp.m2_filter_2 @t22 @t1)) % 34.52/34.96 (define @t111 () (forall @t54 (=> @t110 @t108))) % 34.52/34.96 (define @t112 () (=> @t12 @t111)) % 34.52/34.96 (define @t113 () (forall @t13 @t112)) % 34.52/34.96 (define @t114 () (forall @t54 (=> @t107 @t99))) % 34.52/34.96 (define @t115 () (=> @t12 @t114)) % 34.52/34.96 (define @t116 () (forall @t13 @t115)) % 34.52/34.96 (define @t117 () (tptp.m2_relset_1 @t35 @t1 @t22)) % 34.52/34.96 (define @t118 () (tptp.k2_zfmisc_1 @t4 @t4)) % 34.52/34.96 (define @t119 () (tptp.v1_funct_2 @t16 @t118 @t4)) % 34.52/34.96 (define @t120 () (tptp.v1_funct_1 @t16)) % 34.52/34.96 (define @t121 () (and @t120 @t119 (tptp.m2_relset_1 @t16 @t118 @t4))) % 34.52/34.96 (define @t122 () (forall @t13 (=> @t87 @t121))) % 34.52/34.96 (define @t123 () (tptp.v1_funct_2 @t17 @t118 @t4)) % 34.52/34.96 (define @t124 () (tptp.v1_funct_1 @t17)) % 34.52/34.96 (define @t125 () (and @t124 @t123 (tptp.m2_relset_1 @t17 @t118 @t4))) % 34.52/34.96 (define @t126 () (forall @t13 (=> @t91 @t125))) % 34.52/34.96 (define @t127 () (tptp.m1_relset_1 @t35 @t1 @t22)) % 34.52/34.96 (define @t128 () (@list @t35)) % 34.52/34.96 (define @t129 () (not (tptp.v3_struct_0 @t49))) % 34.52/34.96 (define @t130 () (and @t129 @t81)) % 34.52/34.96 (define @t131 () (and @t11 @t8)) % 34.52/34.96 (define @t132 () (forall @t13 (=> @t131 @t130))) % 34.52/34.96 (define @t133 () (not (tptp.v1_xboole_0 @t4))) % 34.52/34.96 (define @t134 () (and @t11 @t94)) % 34.52/34.96 (define @t135 () (forall @t13 (=> @t134 @t133))) % 34.52/34.96 (define @t136 () (tptp.k1_zfmisc_1 @t1)) % 34.52/34.96 (define @t137 () (tptp.v1_partfun1 @t17 @t118 @t4)) % 34.52/34.96 (define @t138 () (tptp.v1_relat_1 @t17)) % 34.52/34.96 (define @t139 () (not @t26)) % 34.52/34.96 (define @t140 () (tptp.v1_partfun1 @t16 @t118 @t4)) % 34.52/34.96 (define @t141 () (tptp.v1_relat_1 @t16)) % 34.52/34.96 (define @t142 () (and @t129 @t81 (tptp.v4_lattices @t49) (tptp.v5_lattices @t49) (tptp.v6_lattices @t49) (tptp.v7_lattices @t49) (tptp.v8_lattices @t49) (tptp.v9_lattices @t49) (tptp.v10_lattices @t49))) % 34.52/34.96 (define @t143 () (forall @t13 (=> @t12 @t142))) % 34.52/34.96 (define @t144 () (@var "D" $$unsorted)) % 34.52/34.96 (define @t145 () (= @t1 @t144)) % 34.52/34.96 (define @t146 () (tptp.u1_struct_0 @t22)) % 34.52/34.96 (define @t147 () (tptp.m1_subset_1 @t144 @t146)) % 34.52/34.96 (define @t148 () (@list @t144)) % 34.52/34.96 (define @t149 () (and (not (tptp.v3_struct_0 @t22)) (tptp.v10_lattices @t22) (tptp.l3_lattices @t22) (tptp.m1_subset_1 @t35 @t146))) % 34.52/34.96 (define @t150 () (@var "F" $$unsorted)) % 34.52/34.96 (define @t151 () (@var "E" $$unsorted)) % 34.52/34.96 (define @t152 () (and @t145 (= @t22 @t151) (= @t35 @t150))) % 34.52/34.96 (define @t153 () (= @t63 (tptp.g3_lattices @t144 @t151 @t150))) % 34.52/34.96 (define @t154 () (@list @t144 @t151 @t150)) % 34.52/34.96 (define @t155 () (forall @t154 (=> @t153 @t152))) % 34.52/34.96 (define @t156 () (=> @t73 @t155)) % 34.52/34.96 (define @t157 () (forall @t38 @t156)) % 34.52/34.96 (define @t158 () (tptp.m1_subset_1 @t22 @t136)) % 34.52/34.96 (define @t159 () (=> @t76 (= @t84 @t52))) % 34.52/34.96 (define @t160 () (forall @t24 @t159)) % 34.52/34.96 (define @t161 () (tptp.r1_filter_2 @t1 @t22 @t35)) % 34.52/34.96 (define @t162 () (= @t161 (= @t22 @t35))) % 34.52/34.96 (define @t163 () (tptp.m1_subset_1 @t35 @t136)) % 34.52/34.96 (define @t164 () (and @t139 @t158 @t163)) % 34.52/34.96 (define @t165 () (forall @t38 (=> @t164 @t162))) % 34.52/34.96 (define @t166 () (and @t11 @t30 @t28 @t27 @t8 @t53 (tptp.m1_subset_1 @t35 @t4))) % 34.52/34.96 (define @t167 () (tptp.m1_subset_1 @t1 @t22)) % 34.52/34.96 (define @t168 () (= @t46 (tptp.k2_filter_0 @t1 @t85))) % 34.52/34.96 (define @t169 () (and @t11 @t9 @t44 @t8)) % 34.52/34.96 (define @t170 () (=> @t169 @t168)) % 34.52/34.96 (define @t171 () (forall @t13 (=> @t12 @t170))) % 34.52/34.96 (define @t172 () (= @t1 @t22)) % 34.52/34.96 (define @t173 () (tptp.k18_filter_2 @t49 @t55)) % 34.52/34.96 (define @t174 () (= @t62 (tptp.k2_filter_2 @t49 @t55))) % 34.52/34.96 (define @t175 () (and @t174 (= @t173 @t84))) % 34.52/34.96 (define @t176 () (=> @t53 @t175)) % 34.52/34.96 (define @t177 () (forall @t54 @t176)) % 34.52/34.96 (define @t178 () (=> @t12 @t177)) % 34.52/34.96 (define @t179 () (forall @t13 @t178)) % 34.52/34.96 (define @t180 () (tptp.m1_subset_1 @t22 (tptp.k1_zfmisc_1 @t35))) % 34.52/34.96 (define @t181 () (= @t6 (tptp.v13_lattices @t49))) % 34.52/34.96 (define @t182 () (forall @t13 (=> @t12 @t181))) % 34.52/34.96 (define @t183 () (= @t2 (tptp.k5_lattices @t49))) % 34.52/34.96 (define @t184 () (and @t11 @t9 @t6 @t8)) % 34.52/34.96 (define @t185 () (forall @t13 (=> @t184 @t183))) % 34.52/34.96 (define @t186 () (not @t163)) % 34.52/34.96 (define @t187 () (not @t158)) % 34.52/34.96 (define @t188 () (not @t139)) % 34.52/34.96 (define @t189 () (or @t188 @t187 @t186)) % 34.52/34.96 (define @t190 () (not @t6)) % 34.52/34.96 (define @t191 () (not @t8)) % 34.52/34.96 (define @t192 () (not @t9)) % 34.52/34.96 (define @t193 () (or @t10 @t192 @t191 @t190 @t5)) % 34.52/34.96 (define @t194 () (@quantifiers_skolemize (forall @t13 @t193) 0)) % 34.52/34.96 (define @t195 () (tptp.k6_lattices @t194)) % 34.52/34.96 (define @t196 () (tptp.k18_filter_2 @t194 @t195)) % 34.52/34.96 (define @t197 () (tptp.k17_filter_2 @t194)) % 34.52/34.96 (define @t198 () (tptp.u1_struct_0 @t194)) % 34.52/34.96 (define @t199 () (@var "BOUND_VARIABLE_8213" $$unsorted)) % 34.52/34.96 (define @t200 () (tptp.m1_subset_1 @t199 @t98)) % 34.52/34.96 (define @t201 () (not (tptp.m2_lattice4 @t199 @t1))) % 34.52/34.96 (define @t202 () (or @t201 @t200)) % 34.52/34.96 (define @t203 () (or @t10 @t192 @t191 @t202)) % 34.52/34.96 (define @t204 () (forall (@list @t1 @t199) @t203)) % 34.52/34.96 (define @t205 () (@list @t199)) % 34.52/34.96 (define @t206 () (forall @t205 @t203)) % 34.52/34.96 (define @t207 () (forall @t205 @t202)) % 34.52/34.96 (define @t208 () (@list @t22)) % 34.52/34.96 (define @t209 () (or @t10 @t192 @t191 @t207)) % 34.52/34.96 (define @t210 () (forall @t54 (or (not @t107) @t99))) % 34.52/34.96 (define @t211 () (or @t10 @t192 @t191 @t210)) % 34.52/34.96 (define @t212 () (or @t10 @t192 @t191)) % 34.52/34.96 (define @t213 () (not @t11)) % 34.52/34.96 (define @t214 () (or @t213 @t192 @t191)) % 34.52/34.96 (define @t215 () (not @t12)) % 34.52/34.96 (define @t216 () (@list @t194 @t196)) % 34.52/34.96 (define @t217 () (@var "BOUND_VARIABLE_8191" $$unsorted)) % 34.52/34.96 (define @t218 () (and (not (tptp.v1_xboole_0 @t217)) (tptp.m2_lattice4 @t217 @t1))) % 34.52/34.96 (define @t219 () (not (tptp.m2_filter_2 @t217 @t1))) % 34.52/34.96 (define @t220 () (or @t219 @t218)) % 34.52/34.96 (define @t221 () (or @t10 @t192 @t191 @t220)) % 34.52/34.96 (define @t222 () (forall (@list @t1 @t217) @t221)) % 34.52/34.96 (define @t223 () (@list @t217)) % 34.52/34.96 (define @t224 () (forall @t223 @t221)) % 34.52/34.96 (define @t225 () (forall @t223 @t220)) % 34.52/34.96 (define @t226 () (or @t10 @t192 @t191 @t225)) % 34.52/34.96 (define @t227 () (forall @t54 (or (not @t110) @t108))) % 34.52/34.96 (define @t228 () (or @t10 @t192 @t191 @t227)) % 34.52/34.96 (define @t229 () (not @t53)) % 34.52/34.96 (define @t230 () (or @t10 @t192 @t191 @t229)) % 34.52/34.96 (define @t231 () (or @t213 @t192 @t191 @t229)) % 34.52/34.96 (define @t232 () (not @t76)) % 34.52/34.96 (define @t233 () (@list @t194 @t195)) % 34.52/34.96 (define @t234 () (not @t91)) % 34.52/34.96 (define @t235 () (@list @t194)) % 34.52/34.96 (define @t236 () (tptp.l3_lattices @t194)) % 34.52/34.96 (define @t237 () (tptp.r1_filter_2 @t198 @t197 @t196)) % 34.52/34.96 (define @t238 () (tptp.v14_lattices @t194)) % 34.52/34.96 (define @t239 () (not @t238)) % 34.52/34.96 (define @t240 () (not @t236)) % 34.52/34.96 (define @t241 () (tptp.v10_lattices @t194)) % 34.52/34.96 (define @t242 () (not @t241)) % 34.52/34.96 (define @t243 () (tptp.v3_struct_0 @t194)) % 34.52/34.96 (define @t244 () (or @t243 @t242 @t240 @t239 @t237)) % 34.52/34.96 (define @t245 () (@list true)) % 34.52/34.96 (define @t246 () (@list @t244)) % 34.52/34.96 (define @t247 () (tptp.l2_lattices @t194)) % 34.52/34.96 (define @t248 () (tptp.l1_lattices @t194)) % 34.52/34.96 (define @t249 () (and @t248 @t247)) % 34.52/34.96 (define @t250 () (or @t240 @t249)) % 34.52/34.96 (define @t251 () (@list false false)) % 34.52/34.96 (define @t252 () (not @t249)) % 34.52/34.96 (define @t253 () (@list false)) % 34.52/34.96 (define @t254 () (@list @t249)) % 34.52/34.96 (define @t255 () (tptp.m1_subset_1 @t195 @t198)) % 34.52/34.96 (define @t256 () (not @t247)) % 34.52/34.96 (define @t257 () (or @t243 @t256 @t255)) % 34.52/34.96 (define @t258 () (@list true false false)) % 34.52/34.96 (define @t259 () (tptp.m2_filter_2 @t196 @t194)) % 34.52/34.96 (define @t260 () (not @t255)) % 34.52/34.96 (define @t261 () (or @t243 @t242 @t240 @t260 @t259)) % 34.52/34.96 (define @t262 () (@list true false false false false)) % 34.52/34.96 (define @t263 () (tptp.m2_lattice4 @t196 @t194)) % 34.52/34.96 (define @t264 () (and (not (tptp.v1_xboole_0 @t196)) @t263)) % 34.52/34.96 (define @t265 () (not @t259)) % 34.52/34.96 (define @t266 () (or @t243 @t242 @t240 @t265 @t264)) % 34.52/34.96 (define @t267 () (tptp.k1_zfmisc_1 @t198)) % 34.52/34.96 (define @t268 () (tptp.m1_subset_1 @t196 @t267)) % 34.52/34.96 (define @t269 () (not @t263)) % 34.52/34.96 (define @t270 () (or @t243 @t242 @t240 @t269 @t268)) % 34.52/34.96 (define @t271 () (@var "BOUND_VARIABLE_8147" $$unsorted)) % 34.52/34.96 (define @t272 () (and (not (tptp.v1_xboole_0 @t271)) (tptp.m1_subset_1 @t271 @t98))) % 34.52/34.96 (define @t273 () (not (tptp.m1_filter_0 @t271 @t1))) % 34.52/34.96 (define @t274 () (or @t273 @t272)) % 34.52/34.96 (define @t275 () (or @t10 @t192 @t191 @t274)) % 34.52/34.96 (define @t276 () (forall (@list @t1 @t271) @t275)) % 34.52/34.96 (define @t277 () (@list @t271)) % 34.52/34.96 (define @t278 () (forall @t277 @t275)) % 34.52/34.96 (define @t279 () (forall @t277 @t274)) % 34.52/34.96 (define @t280 () (or @t10 @t192 @t191 @t279)) % 34.52/34.96 (define @t281 () (forall @t54 (or (not @t103) @t102))) % 34.52/34.96 (define @t282 () (or @t10 @t192 @t191 @t281)) % 34.52/34.96 (define @t283 () (tptp.k1_filter_0 @t194)) % 34.52/34.96 (define @t284 () (tptp.m1_filter_0 @t283 @t194)) % 34.52/34.96 (define @t285 () (or @t243 @t242 @t240 @t284)) % 34.52/34.96 (define @t286 () (@list true false false false)) % 34.52/34.97 (define @t287 () (tptp.m1_subset_1 @t283 @t267)) % 34.52/34.97 (define @t288 () (and (not (tptp.v1_xboole_0 @t283)) @t287)) % 34.52/34.97 (define @t289 () (not @t284)) % 34.52/34.97 (define @t290 () (or @t243 @t242 @t240 @t289 @t288)) % 34.52/34.97 (define @t291 () (= @t4 @t46)) % 34.52/34.97 (define @t292 () (= @t198 @t283)) % 34.52/34.97 (define @t293 () (or @t243 @t242 @t240 @t292)) % 34.52/34.97 (define @t294 () (= @t4 @t3)) % 34.52/34.97 (define @t295 () (= @t198 @t197)) % 34.52/34.97 (define @t296 () (or @t243 @t242 @t240 @t295)) % 34.52/34.97 (define @t297 () (tptp.m1_subset_1 @t197 @t267)) % 34.52/34.97 (define @t298 () (not @t94)) % 34.52/34.97 (define @t299 () (tptp.l1_struct_0 @t194)) % 34.52/34.97 (define @t300 () (not @t248)) % 34.52/34.97 (define @t301 () (or @t300 @t299)) % 34.52/34.97 (define @t302 () (tptp.v1_xboole_0 @t198)) % 34.52/34.97 (define @t303 () (not @t302)) % 34.52/34.97 (define @t304 () (not @t299)) % 34.52/34.97 (define @t305 () (or @t243 @t304 @t303)) % 34.52/34.97 (define @t306 () (= @t197 @t196)) % 34.52/34.97 (define @t307 () (= @t237 @t306)) % 34.52/34.97 (define @t308 () (not @t268)) % 34.52/34.97 (define @t309 () (not @t297)) % 34.52/34.97 (define @t310 () (or @t302 @t309 @t308 @t307)) % 34.52/34.97 (define @t311 () (not @t306)) % 34.52/34.97 (define @t312 () (@var "BOUND_VARIABLE_8597" $$unsorted)) % 34.52/34.97 (define @t313 () (tptp.k5_filter_2 @t1 @t312)) % 34.52/34.97 (define @t314 () (and (= (tptp.k18_filter_2 @t1 @t312) (tptp.k2_filter_2 @t49 @t313)) (= (tptp.k2_filter_2 @t1 @t312) (tptp.k18_filter_2 @t49 @t313)))) % 34.52/34.97 (define @t315 () (not (tptp.m1_subset_1 @t312 @t4))) % 34.52/34.97 (define @t316 () (or @t315 @t314)) % 34.52/34.97 (define @t317 () (or @t10 @t192 @t191 @t316)) % 34.52/34.97 (define @t318 () (forall (@list @t1 @t312) @t317)) % 34.52/34.97 (define @t319 () (@list @t312)) % 34.52/34.97 (define @t320 () (forall @t319 @t317)) % 34.52/34.97 (define @t321 () (forall @t319 @t316)) % 34.52/34.97 (define @t322 () (or @t10 @t192 @t191 @t321)) % 34.52/34.97 (define @t323 () (and @t174 (= @t84 @t173))) % 34.52/34.97 (define @t324 () (forall @t54 (or @t229 @t323))) % 34.52/34.97 (define @t325 () (or @t10 @t192 @t191 @t324)) % 34.52/34.97 (define @t326 () (tptp.k5_filter_2 @t194 @t195)) % 34.52/34.97 (define @t327 () (tptp.k1_lattice2 @t194)) % 34.52/34.97 (define @t328 () (= @t196 (tptp.k2_filter_2 @t327 @t326))) % 34.52/34.97 (define @t329 () (and @t328 (= (tptp.k2_filter_2 @t194 @t195) (tptp.k18_filter_2 @t327 @t326)))) % 34.52/34.97 (define @t330 () (or @t243 @t242 @t240 @t260 @t329)) % 34.52/34.97 (define @t331 () (@var "BOUND_VARIABLE_8043" $$unsorted)) % 34.52/34.97 (define @t332 () (= @t331 (tptp.k5_filter_2 @t1 @t331))) % 34.52/34.97 (define @t333 () (not (tptp.m1_subset_1 @t331 @t4))) % 34.52/34.97 (define @t334 () (or @t333 @t332)) % 34.52/34.97 (define @t335 () (or @t10 @t192 @t191 @t334)) % 34.52/34.97 (define @t336 () (forall (@list @t1 @t331) @t335)) % 34.52/34.97 (define @t337 () (@list @t331)) % 34.52/34.97 (define @t338 () (forall @t337 @t335)) % 34.52/34.97 (define @t339 () (forall @t337 @t334)) % 34.52/34.97 (define @t340 () (or @t10 @t192 @t191 @t339)) % 34.52/34.97 (define @t341 () (= @t22 @t55)) % 34.52/34.97 (define @t342 () (forall @t54 (or @t229 @t341))) % 34.52/34.97 (define @t343 () (or @t10 @t192 @t191 @t342)) % 34.52/34.97 (define @t344 () (= @t195 @t326)) % 34.52/34.97 (define @t345 () (or @t243 @t242 @t240 @t260 @t344)) % 34.52/34.97 (define @t346 () (or @t213 @t192 @t190 @t191)) % 34.52/34.97 (define @t347 () (tptp.k5_lattices @t327)) % 34.52/34.97 (define @t348 () (= @t195 @t347)) % 34.52/34.97 (define @t349 () (or @t243 @t242 @t239 @t240 @t348)) % 34.52/34.97 (define @t350 () (tptp.k2_filter_2 @t327 @t347)) % 34.52/34.97 (define @t351 () (= @t52 @t84)) % 34.52/34.97 (define @t352 () (not @t87)) % 34.52/34.97 (define @t353 () (@list @t327)) % 34.52/34.97 (define @t354 () (tptp.u2_lattices @t194)) % 34.52/34.97 (define @t355 () (tptp.u1_lattices @t194)) % 34.52/34.97 (define @t356 () (tptp.g3_lattices @t198 @t355 @t354)) % 34.52/34.97 (define @t357 () (not @t67)) % 34.52/34.97 (define @t358 () (not @t68)) % 34.52/34.97 (define @t359 () (not @t69)) % 34.52/34.97 (define @t360 () (not @t70)) % 34.52/34.97 (define @t361 () (not @t71)) % 34.52/34.97 (define @t362 () (not @t72)) % 34.52/34.97 (define @t363 () (or @t362 @t361 @t360 @t359 @t358 @t357)) % 34.52/34.97 (define @t364 () (not @t73)) % 34.52/34.97 (define @t365 () (tptp.k2_zfmisc_1 @t198 @t198)) % 34.52/34.97 (define @t366 () (tptp.m2_relset_1 @t354 @t365 @t198)) % 34.52/34.97 (define @t367 () (tptp.v1_funct_2 @t354 @t365 @t198)) % 34.52/34.97 (define @t368 () (tptp.v1_funct_1 @t354)) % 34.52/34.97 (define @t369 () (and @t368 @t367 @t366)) % 34.52/34.97 (define @t370 () (or @t256 @t369)) % 34.52/34.97 (define @t371 () (not @t369)) % 34.52/34.97 (define @t372 () (@list @t369)) % 34.52/34.97 (define @t373 () (tptp.m1_relset_1 @t354 @t365 @t198)) % 34.52/34.97 (define @t374 () (= @t366 @t373)) % 34.52/34.97 (define @t375 () (tptp.m2_relset_1 @t355 @t365 @t198)) % 34.52/34.97 (define @t376 () (tptp.v1_funct_2 @t355 @t365 @t198)) % 34.52/34.97 (define @t377 () (tptp.v1_funct_1 @t355)) % 34.52/34.97 (define @t378 () (and @t377 @t376 @t375)) % 34.52/34.97 (define @t379 () (or @t300 @t378)) % 34.52/34.97 (define @t380 () (not @t378)) % 34.52/34.97 (define @t381 () (@list @t378)) % 34.52/34.97 (define @t382 () (tptp.m1_relset_1 @t355 @t365 @t198)) % 34.52/34.97 (define @t383 () (= @t375 @t382)) % 34.52/34.97 (define @t384 () (tptp.l3_lattices @t356)) % 34.52/34.97 (define @t385 () (and (tptp.v3_lattices @t356) @t384)) % 34.52/34.97 (define @t386 () (not @t373)) % 34.52/34.97 (define @t387 () (not @t367)) % 34.52/34.97 (define @t388 () (not @t368)) % 34.52/34.97 (define @t389 () (not @t382)) % 34.52/34.97 (define @t390 () (not @t376)) % 34.52/34.97 (define @t391 () (not @t377)) % 34.52/34.97 (define @t392 () (or @t391 @t390 @t389 @t388 @t387 @t386 @t385)) % 34.52/34.97 (define @t393 () (tptp.l1_lattices @t356)) % 34.52/34.97 (define @t394 () (and @t393 (tptp.l2_lattices @t356))) % 34.52/34.97 (define @t395 () (not @t384)) % 34.52/34.97 (define @t396 () (or @t395 @t394)) % 34.52/34.97 (define @t397 () (= @t327 @t356)) % 34.52/34.97 (define @t398 () (or @t240 @t397)) % 34.52/34.97 (define @t399 () (tptp.l1_lattices @t327)) % 34.52/34.97 (define @t400 () (tptp.v3_lattices @t327)) % 34.52/34.97 (define @t401 () (tptp.v3_struct_0 @t327)) % 34.52/34.97 (define @t402 () (not @t401)) % 34.52/34.97 (define @t403 () (and @t402 @t400)) % 34.52/34.97 (define @t404 () (or @t243 @t240 @t403)) % 34.52/34.97 (define @t405 () (not @t403)) % 34.52/34.97 (define @t406 () (@list @t403)) % 34.52/34.97 (define @t407 () (tptp.u1_struct_0 @t327)) % 34.52/34.97 (define @t408 () (tptp.m1_subset_1 @t347 @t407)) % 34.52/34.97 (define @t409 () (not @t399)) % 34.52/34.97 (define @t410 () (or @t401 @t409 @t408)) % 34.52/34.97 (define @t411 () (tptp.l3_lattices @t327)) % 34.52/34.97 (define @t412 () (and @t400 @t411)) % 34.52/34.97 (define @t413 () (or @t240 @t412)) % 34.52/34.97 (define @t414 () (tptp.v10_lattices @t327)) % 34.52/34.97 (define @t415 () (and @t402 @t400 (tptp.v4_lattices @t327) (tptp.v5_lattices @t327) (tptp.v6_lattices @t327) (tptp.v7_lattices @t327) (tptp.v8_lattices @t327) (tptp.v9_lattices @t327) @t414)) % 34.52/34.97 (define @t416 () (or @t243 @t242 @t240 @t415)) % 34.52/34.97 (define @t417 () (tptp.k2_filter_0 @t327 @t347)) % 34.52/34.97 (define @t418 () (= @t417 @t350)) % 34.52/34.97 (define @t419 () (not @t408)) % 34.52/34.97 (define @t420 () (not @t411)) % 34.52/34.97 (define @t421 () (not @t414)) % 34.52/34.97 (define @t422 () (or @t401 @t421 @t420 @t419 @t418)) % 34.52/34.97 (define @t423 () (not @t44)) % 34.52/34.97 (define @t424 () (or @t10 @t192 @t423 @t191 @t168)) % 34.52/34.97 (define @t425 () (or @t213 @t192 @t423 @t191)) % 34.52/34.97 (define @t426 () (tptp.v13_lattices @t327)) % 34.52/34.97 (define @t427 () (= @t238 @t426)) % 34.52/34.97 (define @t428 () (or @t243 @t242 @t240 @t427)) % 34.52/34.97 (define @t429 () (tptp.k1_filter_0 @t327)) % 34.52/34.97 (define @t430 () (= @t429 @t417)) % 34.52/34.97 (define @t431 () (not @t426)) % 34.52/34.97 (define @t432 () (or @t401 @t421 @t420 @t431 @t430)) % 34.52/34.97 (define @t433 () (= @t407 @t429)) % 34.52/34.97 (define @t434 () (or @t401 @t421 @t420 @t433)) % 34.52/34.97 (define @t435 () (= @t198 @t407)) % 34.52/34.97 (define @t436 () (@var "BOUND_VARIABLE_8395" $$unsorted)) % 34.52/34.97 (define @t437 () (@var "BOUND_VARIABLE_8393" $$unsorted)) % 34.52/34.97 (define @t438 () (@var "BOUND_VARIABLE_8391" $$unsorted)) % 34.52/34.97 (define @t439 () (and (= @t1 @t438) (= @t22 @t437) (= @t35 @t436))) % 34.52/34.97 (define @t440 () (not (= @t63 (tptp.g3_lattices @t438 @t437 @t436)))) % 34.52/34.97 (define @t441 () (or @t440 @t439)) % 34.52/34.97 (define @t442 () (or @t362 @t361 @t360 @t359 @t358 @t357 @t441)) % 34.52/34.97 (define @t443 () (forall (@list @t1 @t22 @t35 @t438 @t437 @t436) @t442)) % 34.52/34.97 (define @t444 () (@list @t438 @t437 @t436)) % 34.52/34.97 (define @t445 () (forall @t444 @t442)) % 34.52/34.97 (define @t446 () (forall @t444 @t441)) % 34.52/34.97 (define @t447 () (or @t362 @t361 @t360 @t359 @t358 @t357 @t446)) % 34.52/34.97 (define @t448 () (forall @t154 (or (not @t153) @t152))) % 34.52/34.97 (define @t449 () (or @t362 @t361 @t360 @t359 @t358 @t357 @t448)) % 34.52/34.97 (define @t450 () (tptp.u1_lattices @t327)) % 34.52/34.97 (define @t451 () (tptp.u2_lattices @t327)) % 34.52/34.97 (define @t452 () (not @t19)) % 34.52/34.97 (define @t453 () (tptp.g3_lattices @t407 @t451 @t450)) % 34.52/34.97 (define @t454 () (= @t327 @t453)) % 34.52/34.97 (define @t455 () (not @t400)) % 34.52/34.97 (define @t456 () (or @t420 @t455 @t454)) % 34.52/34.97 (define @t457 () (and @t435 (= @t355 @t451) (= @t354 @t450))) % 34.52/34.97 (define @t458 () (= @t356 @t453)) % 34.52/34.97 (define @t459 () (not @t458)) % 34.52/34.97 (define @t460 () (or @t391 @t390 @t389 @t388 @t387 @t386 @t459 @t457)) % 34.52/34.97 (assume @p1 @t15) % 34.52/34.97 (assume @p2 @t21) % 34.52/34.97 (assume @p3 (forall @t24 (=> @t23 (not (tptp.r2_hidden @t22 @t1))))) % 34.52/34.97 (assume @p4 (forall @t13 (=> @t26 @t25))) % 34.52/34.97 (assume @p5 (forall @t13 (=> @t8 (=> @t34 @t33)))) % 34.52/34.97 (assume @p6 (forall @t38 (=> @t37 (tptp.v1_relat_1 @t35)))) % 34.52/34.97 (assume @p7 (forall @t13 (=> @t41 @t40))) % 34.52/34.97 (assume @p8 (forall @t13 (=> @t8 (=> @t33 @t34)))) % 34.52/34.97 (assume @p9 (forall @t13 (=> @t8 (=> @t45 @t43)))) % 34.52/34.97 (assume @p10 (forall @t13 (=> @t8 (=> @t43 @t45)))) % 34.52/34.97 (assume @p11 @t48) % 34.52/34.97 (assume @p12 @t51) % 34.52/34.97 (assume @p13 (forall @t13 (=> @t12 (forall @t54 (=> @t53 (= @t52 (tptp.a_2_0_filter_0 @t1 @t22))))))) % 34.52/34.97 (assume @p14 @t59) % 34.52/34.97 (assume @p15 @t61) % 34.52/34.97 (assume @p16 (forall @t13 (=> @t12 (forall @t54 (=> @t53 (= @t62 (tptp.a_2_0_filter_2 @t1 @t22))))))) % 34.52/34.97 (assume @p17 @t74) % 34.52/34.97 (assume @p18 (forall @t13 (=> @t12 (tptp.m2_filter_2 @t3 @t1)))) % 34.52/34.97 (assume @p19 @t77) % 34.52/34.97 (assume @p20 @t79) % 34.52/34.97 (assume @p21 (forall @t13 (=> @t12 (tptp.m1_filter_2 @t80 @t1)))) % 34.52/34.97 (assume @p22 @t83) % 34.52/34.97 (assume @p23 true) % 34.52/34.97 (assume @p24 (forall @t24 (=> @t76 (tptp.m1_filter_0 @t52 @t1)))) % 34.52/34.97 (assume @p25 (forall @t24 (=> @t76 (tptp.m1_filter_2 @t84 @t1)))) % 34.52/34.97 (assume @p26 (forall @t24 (=> @t76 (tptp.m1_subset_1 @t55 (tptp.u1_struct_0 @t49))))) % 34.52/34.97 (assume @p27 @t89) % 34.52/34.97 (assume @p28 @t93) % 34.52/34.97 (assume @p29 @t95) % 34.52/34.97 (assume @p30 (forall @t13 (=> @t91 @t94))) % 34.52/34.97 (assume @p31 @t97) % 34.52/34.97 (assume @p32 @t106) % 34.52/34.97 (assume @p33 (forall @t13 (=> @t12 (forall @t54 (=> @t109 @t108))))) % 34.52/34.97 (assume @p34 @t113) % 34.52/34.97 (assume @p35 @t116) % 34.52/34.97 (assume @p36 (forall @t38 (=> @t117 @t37))) % 34.52/34.97 (assume @p37 @t122) % 34.52/34.97 (assume @p38 @t126) % 34.52/34.97 (assume @p39 (exists @t13 @t87)) % 34.52/34.97 (assume @p40 (exists @t13 @t94)) % 34.52/34.97 (assume @p41 (exists @t13 @t91)) % 34.52/34.97 (assume @p42 (exists @t13 @t8)) % 34.52/34.97 (assume @p43 (forall @t13 (=> @t12 (exists @t54 @t103)))) % 34.52/34.97 (assume @p44 (forall @t13 (=> @t12 (exists @t54 @t109)))) % 34.52/34.97 (assume @p45 (forall @t24 (exists @t128 @t127))) % 34.52/34.97 (assume @p46 (forall @t13 (exists @t54 (tptp.m1_subset_1 @t22 @t1)))) % 34.52/34.97 (assume @p47 (forall @t13 (=> @t12 (exists @t54 @t110)))) % 34.52/34.97 (assume @p48 (forall @t13 (=> @t12 (exists @t54 @t107)))) % 34.52/34.97 (assume @p49 (forall @t24 (exists @t128 @t117))) % 34.52/34.97 (assume @p50 @t132) % 34.52/34.97 (assume @p51 @t135) % 34.52/34.97 (assume @p52 (forall @t13 (not (tptp.v1_xboole_0 @t136)))) % 34.52/34.97 (assume @p53 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 34.52/34.97 (assume @p54 (forall @t13 (=> (and @t11 @t32 @t91) (and @t138 @t124 @t123 (tptp.v1_binop_1 @t17 @t4) @t137)))) % 34.52/34.97 (assume @p55 (forall @t13 (=> (and @t11 @t31 @t91) (and @t138 @t124 @t123 (tptp.v2_binop_1 @t17 @t4) @t137)))) % 34.52/34.97 (assume @p56 (forall @t38 (=> (and @t139 @t72 @t71 @t70 @t69 @t68 @t67) (and (not (tptp.v3_struct_0 @t63)) @t64)))) % 34.52/34.97 (assume @p57 (forall @t13 (=> (and @t11 @t30 @t87) (and @t141 @t120 @t119 (tptp.v1_binop_1 @t16 @t4) @t140)))) % 34.52/34.97 (assume @p58 (forall @t24 (=> (and @t139 @t101) (not (tptp.v1_xboole_0 @t36))))) % 34.52/34.97 (assume @p59 (forall @t13 (=> (and @t11 @t29 @t87) (and @t141 @t120 @t119 (tptp.v2_binop_1 @t16 @t4) @t140)))) % 34.52/34.97 (assume @p60 @t143) % 34.52/34.97 (assume @p61 (forall @t38 (=> @t149 (= (tptp.r2_hidden @t1 (tptp.a_2_0_filter_0 @t22 @t35)) (exists @t148 (and @t147 @t145 (tptp.r3_lattices @t22 @t35 @t144))))))) % 34.52/34.97 (assume @p62 (forall @t38 (=> @t149 (= (tptp.r2_hidden @t1 (tptp.a_2_0_filter_2 @t22 @t35)) (exists @t148 (and @t147 @t145 (tptp.r3_lattices @t22 @t144 @t35))))))) % 34.52/34.97 (assume @p63 @t157) % 34.52/34.97 (assume @p64 (exists @t13 (and @t8 @t11 @t19 @t32 @t31 @t30 @t29 @t28 @t27 @t9 @t44 @t6 @t42))) % 34.52/34.97 (assume @p65 (exists @t13 (and @t39 @t25))) % 34.52/34.97 (assume @p66 (forall @t13 (=> @t12 (exists @t54 (and @t107 @t101))))) % 34.52/34.97 (assume @p67 (forall @t13 (=> @t139 (exists @t54 (and @t158 @t101))))) % 34.52/34.97 (assume @p68 (exists @t13 @t26)) % 34.52/34.97 (assume @p69 (exists @t13 @t41)) % 34.52/34.97 (assume @p70 (forall @t13 (exists @t54 (and @t158 @t100)))) % 34.52/34.97 (assume @p71 (exists @t13 @t139)) % 34.52/34.97 (assume @p72 (exists @t13 @t40)) % 34.52/34.97 (assume @p73 (exists @t13 (and @t8 @t19))) % 34.52/34.97 (assume @p74 (exists @t13 (and @t94 @t11))) % 34.52/34.97 (assume @p75 (forall @t13 (=> @t134 (exists @t54 (and @t99 @t101))))) % 34.52/34.97 (assume @p76 (exists @t13 (and @t8 @t11 @t19))) % 34.52/34.97 (assume @p77 (exists @t13 (and @t8 @t11 @t19 @t32 @t31 @t30 @t29 @t28 @t27 @t9))) % 34.52/34.97 (assume @p78 (forall @t13 (=> @t12 (= @t80 @t46)))) % 34.52/34.97 (assume @p79 @t160) % 34.52/34.97 (assume @p80 (forall @t13 (=> @t12 (forall @t54 (= @t109 @t103))))) % 34.52/34.97 (assume @p81 (forall @t38 (= @t117 @t127))) % 34.52/34.97 (assume @p82 @t165) % 34.52/34.97 (assume @p83 (forall @t38 (=> @t166 (= (tptp.r3_lattices @t1 @t22 @t35) (tptp.r1_lattices @t1 @t22 @t35))))) % 34.52/34.97 (assume @p84 (forall @t38 (=> @t164 (tptp.r1_filter_2 @t1 @t22 @t22)))) % 34.52/34.97 (assume @p85 (forall @t24 (tptp.r1_tarski @t1 @t1))) % 34.52/34.97 (assume @p86 (forall @t38 (=> @t166 (tptp.r3_lattices @t1 @t22 @t22)))) % 34.52/34.97 (assume @p87 (forall @t38 (=> @t164 (=> @t161 (tptp.r1_filter_2 @t1 @t35 @t22))))) % 34.52/34.97 (assume @p88 (forall @t24 (=> @t23 @t167))) % 34.52/34.97 (assume @p89 @t171) % 34.52/34.97 (assume @p90 (forall @t24 (=> @t167 (or @t100 @t23)))) % 34.52/34.97 (assume @p91 (forall @t24 (=> (forall @t128 (= (tptp.r2_hidden @t35 @t1) (tptp.r2_hidden @t35 @t22))) @t172))) % 34.52/34.97 (assume @p92 @t179) % 34.52/34.97 (assume @p93 (forall @t24 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t22)) (tptp.r1_tarski @t1 @t22)))) % 34.52/34.97 (assume @p94 (forall @t38 (=> (and @t23 @t180) (tptp.m1_subset_1 @t1 @t35)))) % 34.52/34.97 (assume @p95 (forall @t38 (not (and @t23 @t180 (tptp.v1_xboole_0 @t35))))) % 34.52/34.97 (assume @p96 @t182) % 34.52/34.97 (assume @p97 (forall @t13 (=> @t26 (= @t1 tptp.k1_xboole_0)))) % 34.52/34.97 (assume @p98 @t185) % 34.52/34.97 (assume @p99 (forall @t24 (not (and @t23 @t100)))) % 34.52/34.97 (assume @p100 (forall @t24 (not (and @t26 (not @t172) @t100)))) % 34.52/34.97 (step @p101 :rule aci_norm :args ((= (or (or @t26 @t187 @t186) @t162) (or @t26 @t187 @t186 @t162)))) % 34.52/34.97 (step @p102 :rule refl :args (@t162)) % 34.52/34.97 (step @p103 :rule refl :args (@t186)) % 34.52/34.97 (step @p104 :rule refl :args (@t187)) % 34.52/34.97 (step @p105 :rule bool-double-not-elim :args (@t26)) % 34.52/34.97 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103) :args (@t189)) % 34.52/34.97 (step @p107 :rule aci_norm :args ((= (or @t188 (or @t187 @t186)) @t189))) % 34.52/34.97 (step @p108 :rule trans :premises (@p107 @p106)) % 34.52/34.97 (step @p109 :rule bool-and-de-morgan :args (@t158 @t163 true)) % 34.52/34.97 (step @p110 :rule refl :args (@t188)) % 34.52/34.97 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t188 (not (and @t158 @t163))))) % 34.52/34.97 (step @p112 :rule bool-and-de-morgan :args (@t139 @t158 (and @t163))) % 34.52/34.97 (step @p113 :rule trans :premises (@p112 @p111)) % 34.52/34.97 (step @p114 :rule trans :premises (@p113 @p108)) % 34.52/34.97 (step @p115 :rule nary_cong :premises (@p114 @p102) :args ((or (not @t164) @t162))) % 34.52/34.97 (step @p116 :rule trans :premises (@p115 @p101)) % 34.52/34.97 (step @p117 :rule bool-impl-elim :args (@t164 @t162)) % 34.52/34.97 (step @p118 :rule trans :premises (@p117 @p116)) % 34.52/34.97 (step @p119 :rule cong :premises (@p118) :args (@t165)) % 34.52/34.97 (step @p120 :rule eq_resolve :premises (@p82 @p119)) % 34.52/34.97 (step @p121 :rule instantiate :premises (@p120) :args ((@list @t198 @t197 @t196))) % 34.52/34.97 (step @p122 :rule aci_norm :args ((= @t203 (or @t10 @t192 @t191 @t201 @t200)))) % 34.52/34.97 (step @p123 :rule cong :premises (@p122) :args (@t204)) % 34.52/34.97 (step @p124 :rule quant-merge-prenex :args ((= (forall @t13 @t206) @t204))) % 34.52/34.97 (step @p125 :rule alpha_equiv :args (@t207 (@list @t199) @t208)) % 34.52/34.97 (step @p126 :rule refl :args (@t191)) % 34.52/34.97 (step @p127 :rule refl :args (@t192)) % 34.52/34.97 (step @p128 :rule refl :args (@t10)) % 34.52/34.97 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126 @p125) :args (@t209)) % 34.52/34.97 (step @p130 :rule quant-miniscope-or :args ((= @t206 @t209))) % 34.52/34.97 (step @p131 :rule trans :premises (@p130 @p129)) % 34.52/34.97 (step @p132 :rule symm :premises (@p131)) % 34.52/34.97 (step @p133 :rule cong :premises (@p132) :args ((forall @t13 @t211))) % 34.52/34.97 (step @p134 :rule trans :premises (@p133 @p124)) % 34.52/34.97 (step @p135 :rule trans :premises (@p134 @p123)) % 34.52/34.97 (step @p136 :rule aci_norm :args ((= (or @t212 @t210) @t211))) % 34.52/34.97 (step @p137 :rule refl :args (@t210)) % 34.52/34.97 (step @p138 :rule bool-double-not-elim :args (@t10)) % 34.52/34.97 (step @p139 :rule nary_cong :premises (@p138 @p127 @p126) :args (@t214)) % 34.52/34.97 (step @p140 :rule aci_norm :args ((= (or @t213 (or @t192 @t191)) @t214))) % 34.52/34.97 (step @p141 :rule trans :premises (@p140 @p139)) % 34.52/34.97 (step @p142 :rule bool-and-de-morgan :args (@t9 @t8 true)) % 34.52/34.97 (step @p143 :rule refl :args (@t213)) % 34.52/34.97 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t213 (not (and @t9 @t8))))) % 34.52/34.97 (step @p145 :rule bool-and-de-morgan :args (@t11 @t9 (and @t8))) % 34.52/34.97 (step @p146 :rule trans :premises (@p145 @p144)) % 34.52/34.97 (step @p147 :rule trans :premises (@p146 @p141)) % 34.52/34.97 (step @p148 :rule nary_cong :premises (@p147 @p137) :args ((or @t215 @t210))) % 34.52/34.97 (step @p149 :rule trans :premises (@p148 @p136)) % 34.52/34.97 (step @p150 :rule bool-impl-elim :args (@t12 @t210)) % 34.52/34.97 (step @p151 :rule trans :premises (@p150 @p149)) % 34.52/34.97 (step @p152 :rule cong :premises (@p151) :args ((forall @t13 (=> @t12 @t210)))) % 34.52/34.97 (step @p153 :rule trans :premises (@p152 @p135)) % 34.52/34.97 (step @p154 :rule bool-impl-elim :args (@t107 @t99)) % 34.52/34.97 (step @p155 :rule cong :premises (@p154) :args (@t114)) % 34.52/34.97 (step @p156 :rule refl :args (@t12)) % 34.52/34.97 (step @p157 :rule cong :premises (@p156 @p155) :args (@t115)) % 34.52/34.97 (step @p158 :rule cong :premises (@p157) :args (@t116)) % 34.52/34.97 (step @p159 :rule trans :premises (@p158 @p153)) % 34.52/34.97 (step @p160 :rule eq_resolve :premises (@p35 @p159)) % 34.52/34.97 (step @p161 :rule instantiate :premises (@p160) :args (@t216)) % 34.52/34.97 (step @p162 :rule aci_norm :args ((= @t221 (or @t10 @t192 @t191 @t219 @t218)))) % 34.52/34.97 (step @p163 :rule cong :premises (@p162) :args (@t222)) % 34.52/34.97 (step @p164 :rule quant-merge-prenex :args ((= (forall @t13 @t224) @t222))) % 34.52/34.97 (step @p165 :rule alpha_equiv :args (@t225 (@list @t217) @t208)) % 34.52/34.97 (step @p166 :rule nary_cong :premises (@p128 @p127 @p126 @p165) :args (@t226)) % 34.52/34.97 (step @p167 :rule quant-miniscope-or :args ((= @t224 @t226))) % 34.52/34.97 (step @p168 :rule trans :premises (@p167 @p166)) % 34.52/34.97 (step @p169 :rule symm :premises (@p168)) % 34.52/34.97 (step @p170 :rule cong :premises (@p169) :args ((forall @t13 @t228))) % 34.52/34.97 (step @p171 :rule trans :premises (@p170 @p164)) % 34.52/34.97 (step @p172 :rule trans :premises (@p171 @p163)) % 34.52/34.97 (step @p173 :rule aci_norm :args ((= (or @t212 @t227) @t228))) % 34.52/34.97 (step @p174 :rule refl :args (@t227)) % 34.52/34.97 (step @p175 :rule nary_cong :premises (@p147 @p174) :args ((or @t215 @t227))) % 34.52/34.97 (step @p176 :rule trans :premises (@p175 @p173)) % 34.52/34.97 (step @p177 :rule bool-impl-elim :args (@t12 @t227)) % 34.52/34.97 (step @p178 :rule trans :premises (@p177 @p176)) % 34.52/34.97 (step @p179 :rule cong :premises (@p178) :args ((forall @t13 (=> @t12 @t227)))) % 34.52/34.97 (step @p180 :rule trans :premises (@p179 @p172)) % 34.52/34.97 (step @p181 :rule bool-impl-elim :args (@t110 @t108)) % 34.52/34.97 (step @p182 :rule cong :premises (@p181) :args (@t111)) % 34.52/34.97 (step @p183 :rule cong :premises (@p156 @p182) :args (@t112)) % 34.52/34.97 (step @p184 :rule cong :premises (@p183) :args (@t113)) % 34.52/34.97 (step @p185 :rule trans :premises (@p184 @p180)) % 34.52/34.97 (step @p186 :rule eq_resolve :premises (@p34 @p185)) % 34.52/34.97 (step @p187 :rule instantiate :premises (@p186) :args (@t216)) % 34.52/34.97 (step @p188 :rule aci_norm :args ((= (or @t230 @t75) (or @t10 @t192 @t191 @t229 @t75)))) % 34.52/34.97 (step @p189 :rule refl :args (@t75)) % 34.52/34.97 (step @p190 :rule refl :args (@t229)) % 34.52/34.97 (step @p191 :rule nary_cong :premises (@p138 @p127 @p126 @p190) :args (@t231)) % 34.52/34.97 (step @p192 :rule aci_norm :args ((= (or @t213 (or @t192 (or @t191 @t229))) @t231))) % 34.52/34.97 (step @p193 :rule trans :premises (@p192 @p191)) % 34.52/34.97 (step @p194 :rule bool-and-de-morgan :args (@t8 @t53 true)) % 34.52/34.97 (step @p195 :rule nary_cong :premises (@p127 @p194) :args ((or @t192 (not (and @t8 @t53))))) % 34.52/34.97 (step @p196 :rule bool-and-de-morgan :args (@t9 @t8 (and @t53))) % 34.52/34.97 (step @p197 :rule trans :premises (@p196 @p195)) % 34.52/34.97 (step @p198 :rule nary_cong :premises (@p143 @p197) :args ((or @t213 (not (and @t9 @t8 @t53))))) % 34.52/34.97 (step @p199 :rule bool-and-de-morgan :args (@t11 @t9 (and @t8 @t53))) % 34.52/34.97 (step @p200 :rule trans :premises (@p199 @p198)) % 34.52/34.97 (step @p201 :rule trans :premises (@p200 @p193)) % 34.52/34.97 (step @p202 :rule nary_cong :premises (@p201 @p189) :args ((or @t232 @t75))) % 34.52/34.97 (step @p203 :rule trans :premises (@p202 @p188)) % 34.52/34.97 (step @p204 :rule bool-impl-elim :args (@t76 @t75)) % 34.52/34.97 (step @p205 :rule trans :premises (@p204 @p203)) % 34.52/34.97 (step @p206 :rule cong :premises (@p205) :args (@t77)) % 34.52/34.97 (step @p207 :rule eq_resolve :premises (@p19 @p206)) % 34.52/34.97 (step @p208 :rule instantiate :premises (@p207) :args (@t233)) % 34.52/34.97 (step @p209 :rule aci_norm :args ((= (or (or @t10 @t234) @t90) (or @t10 @t234 @t90)))) % 34.52/34.97 (step @p210 :rule refl :args (@t90)) % 34.52/34.97 (step @p211 :rule refl :args (@t234)) % 34.52/34.97 (step @p212 :rule nary_cong :premises (@p138 @p211) :args ((or @t213 @t234))) % 34.52/34.97 (step @p213 :rule bool-and-de-morgan :args (@t11 @t91 true)) % 34.52/34.97 (step @p214 :rule trans :premises (@p213 @p212)) % 34.52/34.97 (step @p215 :rule nary_cong :premises (@p214 @p210) :args ((or (not @t92) @t90))) % 34.52/34.97 (step @p216 :rule trans :premises (@p215 @p209)) % 34.52/34.97 (step @p217 :rule bool-impl-elim :args (@t92 @t90)) % 34.52/34.97 (step @p218 :rule trans :premises (@p217 @p216)) % 34.52/34.97 (step @p219 :rule cong :premises (@p218) :args (@t93)) % 34.52/34.97 (step @p220 :rule eq_resolve :premises (@p28 @p219)) % 34.52/34.97 (step @p221 :rule instantiate :premises (@p220) :args (@t235)) % 34.52/34.97 (step @p222 :rule bool-impl-elim :args (@t8 @t96)) % 34.52/34.97 (step @p223 :rule cong :premises (@p222) :args (@t97)) % 34.52/34.97 (step @p224 :rule eq_resolve :premises (@p31 @p223)) % 34.52/34.97 (step @p225 :rule instantiate :premises (@p224) :args (@t235)) % 34.52/34.97 (step @p226 :rule aci_norm :args ((= (or @t212 (or @t190 @t5)) @t193))) % 34.52/34.97 (step @p227 :rule bool-impl-elim :args (@t6 @t5)) % 34.52/34.97 (step @p228 :rule nary_cong :premises (@p147 @p227) :args ((or @t215 @t7))) % 34.52/34.97 (step @p229 :rule trans :premises (@p228 @p226)) % 34.52/34.97 (step @p230 :rule bool-impl-elim :args (@t12 @t7)) % 34.52/34.97 (step @p231 :rule trans :premises (@p230 @p229)) % 34.52/34.97 (step @p232 :rule cong :premises (@p231) :args (@t14)) % 34.52/34.97 (step @p233 :rule cong :premises (@p232) :args (@t15)) % 34.52/34.97 (step @p234 :rule eq_resolve :premises (@p1 @p233)) % 34.52/34.97 (step @p235 :rule skolemize :premises (@p234)) % 34.52/34.97 (step @p236 :rule bool-double-not-elim :args (@t236)) % 34.52/34.97 (step @p237 :rule refl :args (@t244)) % 34.52/34.97 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or @t244 (not @t240)))) % 34.52/34.97 (step @p239 :rule cnf_or_neg :args (@t244 2)) % 34.52/34.97 (step @p240 :rule eq_resolve :premises (@p239 @p238)) % 34.52/34.97 (step @p241 :rule reordering :premises (@p240) :args ((or @t236 @t244))) % 34.52/34.97 (step @p242 :rule chain_m_resolution :premises (@p241 @p235) :args (@t236 @t245 @t246)) % 34.52/34.97 (step @p243 :rule cnf_or_pos :args (@t250)) % 34.52/34.97 (step @p244 :rule reordering :premises (@p243) :args ((or @t240 @t249 (not @t250)))) % 34.52/34.97 (step @p245 :rule chain_m_resolution :premises (@p244 @p242 @p225) :args (@t249 @t251 (@list @t236 @t250))) % 34.52/34.97 (step @p246 :rule cnf_and_pos :args (@t249 1)) % 34.52/34.97 (step @p247 :rule reordering :premises (@p246) :args ((or @t247 @t252))) % 34.52/34.97 (step @p248 :rule chain_m_resolution :premises (@p247 @p245) :args (@t247 @t253 @t254)) % 34.52/34.97 (step @p249 :rule cnf_or_neg :args (@t244 0)) % 34.52/34.97 (step @p250 :rule chain_m_resolution :premises (@p249 @p235) :args ((not @t243) @t245 @t246)) % 34.52/34.97 (step @p251 :rule cnf_or_pos :args (@t257)) % 34.52/34.97 (step @p252 :rule reordering :premises (@p251) :args ((or @t243 @t255 @t256 (not @t257)))) % 34.52/34.97 (step @p253 :rule chain_m_resolution :premises (@p252 @p250 @p248 @p221) :args (@t255 @t258 (@list @t243 @t247 @t257))) % 34.52/34.97 (step @p254 :rule bool-double-not-elim :args (@t241)) % 34.52/34.97 (step @p255 :rule nary_cong :premises (@p237 @p254) :args ((or @t244 (not @t242)))) % 34.52/34.97 (step @p256 :rule cnf_or_neg :args (@t244 1)) % 34.52/34.97 (step @p257 :rule eq_resolve :premises (@p256 @p255)) % 34.52/34.97 (step @p258 :rule reordering :premises (@p257) :args ((or @t241 @t244))) % 34.52/34.97 (step @p259 :rule chain_m_resolution :premises (@p258 @p235) :args (@t241 @t245 @t246)) % 34.52/34.97 (step @p260 :rule cnf_or_pos :args (@t261)) % 34.52/34.97 (step @p261 :rule reordering :premises (@p260) :args ((or @t243 @t242 @t240 @t260 @t259 (not @t261)))) % 34.52/34.97 (step @p262 :rule chain_m_resolution :premises (@p261 @p250 @p259 @p242 @p253 @p208) :args (@t259 @t262 (@list @t243 @t241 @t236 @t255 @t261))) % 34.52/34.97 (step @p263 :rule cnf_or_pos :args (@t266)) % 34.52/34.97 (step @p264 :rule reordering :premises (@p263) :args ((or @t243 @t242 @t240 @t265 @t264 (not @t266)))) % 34.52/34.97 (step @p265 :rule chain_m_resolution :premises (@p264 @p250 @p259 @p242 @p262 @p187) :args (@t264 @t262 (@list @t243 @t241 @t236 @t259 @t266))) % 34.52/34.97 (step @p266 :rule cnf_and_pos :args (@t264 1)) % 34.52/34.97 (step @p267 :rule reordering :premises (@p266) :args ((or @t263 (not @t264)))) % 34.52/34.97 (step @p268 :rule chain_m_resolution :premises (@p267 @p265) :args (@t263 @t253 (@list @t264))) % 34.52/34.97 (step @p269 :rule cnf_or_pos :args (@t270)) % 34.52/34.97 (step @p270 :rule reordering :premises (@p269) :args ((or @t243 @t242 @t240 @t268 @t269 (not @t270)))) % 34.52/34.97 (step @p271 :rule chain_m_resolution :premises (@p270 @p250 @p259 @p242 @p268 @p161) :args (@t268 @t262 (@list @t243 @t241 @t236 @t263 @t270))) % 34.52/34.97 (step @p272 :rule aci_norm :args ((= @t275 (or @t10 @t192 @t191 @t273 @t272)))) % 34.52/34.97 (step @p273 :rule cong :premises (@p272) :args (@t276)) % 34.52/34.97 (step @p274 :rule quant-merge-prenex :args ((= (forall @t13 @t278) @t276))) % 34.52/34.97 (step @p275 :rule alpha_equiv :args (@t279 (@list @t271) @t208)) % 34.52/34.97 (step @p276 :rule nary_cong :premises (@p128 @p127 @p126 @p275) :args (@t280)) % 34.52/34.97 (step @p277 :rule quant-miniscope-or :args ((= @t278 @t280))) % 34.52/34.97 (step @p278 :rule trans :premises (@p277 @p276)) % 34.52/34.97 (step @p279 :rule symm :premises (@p278)) % 34.52/34.97 (step @p280 :rule cong :premises (@p279) :args ((forall @t13 @t282))) % 34.52/34.97 (step @p281 :rule trans :premises (@p280 @p274)) % 34.52/34.97 (step @p282 :rule trans :premises (@p281 @p273)) % 34.52/34.97 (step @p283 :rule aci_norm :args ((= (or @t212 @t281) @t282))) % 34.52/34.97 (step @p284 :rule refl :args (@t281)) % 34.52/34.97 (step @p285 :rule nary_cong :premises (@p147 @p284) :args ((or @t215 @t281))) % 34.52/34.97 (step @p286 :rule trans :premises (@p285 @p283)) % 34.52/34.97 (step @p287 :rule bool-impl-elim :args (@t12 @t281)) % 34.52/34.97 (step @p288 :rule trans :premises (@p287 @p286)) % 34.52/34.97 (step @p289 :rule cong :premises (@p288) :args ((forall @t13 (=> @t12 @t281)))) % 34.52/34.97 (step @p290 :rule trans :premises (@p289 @p282)) % 34.52/34.97 (step @p291 :rule bool-impl-elim :args (@t103 @t102)) % 34.52/34.97 (step @p292 :rule cong :premises (@p291) :args (@t104)) % 34.52/34.97 (step @p293 :rule cong :premises (@p156 @p292) :args (@t105)) % 34.52/34.97 (step @p294 :rule cong :premises (@p293) :args (@t106)) % 34.52/34.97 (step @p295 :rule trans :premises (@p294 @p290)) % 34.52/34.97 (step @p296 :rule eq_resolve :premises (@p32 @p295)) % 34.52/34.97 (step @p297 :rule instantiate :premises (@p296) :args ((@list @t194 @t283))) % 34.52/34.97 (step @p298 :rule aci_norm :args ((= (or @t212 @t78) (or @t10 @t192 @t191 @t78)))) % 34.52/34.97 (step @p299 :rule refl :args (@t78)) % 34.52/34.97 (step @p300 :rule nary_cong :premises (@p147 @p299) :args ((or @t215 @t78))) % 34.52/34.97 (step @p301 :rule trans :premises (@p300 @p298)) % 34.52/34.97 (step @p302 :rule bool-impl-elim :args (@t12 @t78)) % 34.52/34.97 (step @p303 :rule trans :premises (@p302 @p301)) % 34.52/34.97 (step @p304 :rule cong :premises (@p303) :args (@t79)) % 34.52/34.97 (step @p305 :rule eq_resolve :premises (@p20 @p304)) % 34.52/34.97 (step @p306 :rule instantiate :premises (@p305) :args (@t235)) % 34.52/34.97 (step @p307 :rule cnf_or_pos :args (@t285)) % 34.52/34.97 (step @p308 :rule reordering :premises (@p307) :args ((or @t243 @t242 @t240 @t284 (not @t285)))) % 34.52/34.97 (step @p309 :rule chain_m_resolution :premises (@p308 @p250 @p259 @p242 @p306) :args (@t284 @t286 (@list @t243 @t241 @t236 @t285))) % 34.52/34.97 (step @p310 :rule cnf_or_pos :args (@t290)) % 34.52/34.97 (step @p311 :rule reordering :premises (@p310) :args ((or @t243 @t242 @t240 @t289 @t288 (not @t290)))) % 34.52/34.97 (step @p312 :rule chain_m_resolution :premises (@p311 @p250 @p259 @p242 @p309 @p297) :args (@t288 @t262 (@list @t243 @t241 @t236 @t284 @t290))) % 34.52/34.97 (step @p313 :rule cnf_and_pos :args (@t288 1)) % 34.52/34.97 (step @p314 :rule reordering :premises (@p313) :args ((or @t287 (not @t288)))) % 34.52/34.97 (step @p315 :rule chain_m_resolution :premises (@p314 @p312) :args (@t287 @t253 (@list @t288))) % 34.52/34.97 (step @p316 :rule true_intro :premises (@p315)) % 34.52/34.97 (step @p317 :rule refl :args (@t267)) % 34.52/34.97 (step @p318 :rule aci_norm :args ((= (or @t212 @t291) (or @t10 @t192 @t191 @t291)))) % 34.52/34.97 (step @p319 :rule refl :args (@t291)) % 34.52/34.97 (step @p320 :rule nary_cong :premises (@p147 @p319) :args ((or @t215 @t291))) % 34.52/34.97 (step @p321 :rule trans :premises (@p320 @p318)) % 34.52/34.97 (step @p322 :rule bool-impl-elim :args (@t12 @t291)) % 34.52/34.97 (step @p323 :rule trans :premises (@p322 @p321)) % 34.52/34.97 (step @p324 :rule cong :premises (@p323) :args ((forall @t13 (=> @t12 @t291)))) % 34.52/34.97 (step @p325 :rule eq-symm :args (@t46 @t4)) % 34.52/34.97 (step @p326 :rule cong :premises (@p156 @p325) :args (@t47)) % 34.52/34.97 (step @p327 :rule cong :premises (@p326) :args (@t48)) % 34.52/34.97 (step @p328 :rule trans :premises (@p327 @p324)) % 34.52/34.97 (step @p329 :rule eq_resolve :premises (@p11 @p328)) % 34.52/34.97 (step @p330 :rule instantiate :premises (@p329) :args (@t235)) % 34.52/34.97 (step @p331 :rule cnf_or_pos :args (@t293)) % 34.52/34.97 (step @p332 :rule reordering :premises (@p331) :args ((or @t243 @t242 @t240 @t292 (not @t293)))) % 34.52/34.97 (step @p333 :rule chain_m_resolution :premises (@p332 @p250 @p259 @p242 @p330) :args (@t292 @t286 (@list @t243 @t241 @t236 @t293))) % 34.52/34.97 (step @p334 :rule aci_norm :args ((= (or @t212 @t294) (or @t10 @t192 @t191 @t294)))) % 34.52/34.97 (step @p335 :rule refl :args (@t294)) % 34.52/34.97 (step @p336 :rule nary_cong :premises (@p147 @p335) :args ((or @t215 @t294))) % 34.52/34.97 (step @p337 :rule trans :premises (@p336 @p334)) % 34.52/34.97 (step @p338 :rule bool-impl-elim :args (@t12 @t294)) % 34.52/34.97 (step @p339 :rule trans :premises (@p338 @p337)) % 34.52/34.97 (step @p340 :rule cong :premises (@p339) :args ((forall @t13 (=> @t12 @t294)))) % 34.52/34.97 (step @p341 :rule eq-symm :args (@t3 @t4)) % 34.52/34.97 (step @p342 :rule cong :premises (@p156 @p341) :args (@t60)) % 34.52/34.97 (step @p343 :rule cong :premises (@p342) :args (@t61)) % 34.52/34.97 (step @p344 :rule trans :premises (@p343 @p340)) % 34.52/34.97 (step @p345 :rule eq_resolve :premises (@p15 @p344)) % 34.52/34.97 (step @p346 :rule instantiate :premises (@p345) :args (@t235)) % 34.52/34.97 (step @p347 :rule cnf_or_pos :args (@t296)) % 34.52/34.97 (step @p348 :rule reordering :premises (@p347) :args ((or @t243 @t242 @t240 @t295 (not @t296)))) % 34.52/34.97 (step @p349 :rule chain_m_resolution :premises (@p348 @p250 @p259 @p242 @p346) :args (@t295 @t286 (@list @t243 @t241 @t236 @t296))) % 34.52/34.97 (step @p350 :rule symm :premises (@p349)) % 34.52/34.97 (step @p351 :rule trans :premises (@p350 @p333)) % 34.52/34.97 (step @p352 :rule cong :premises (@p351 @p317) :args (@t297)) % 34.52/34.97 (step @p353 :rule trans :premises (@p352 @p316)) % 34.52/34.97 (step @p354 :rule true_elim :premises (@p353)) % 34.52/34.97 (step @p355 :rule aci_norm :args ((= (or (or @t10 @t298) @t133) (or @t10 @t298 @t133)))) % 34.52/34.97 (step @p356 :rule refl :args (@t133)) % 34.52/34.97 (step @p357 :rule refl :args (@t298)) % 34.52/34.97 (step @p358 :rule nary_cong :premises (@p138 @p357) :args ((or @t213 @t298))) % 34.52/34.97 (step @p359 :rule bool-and-de-morgan :args (@t11 @t94 true)) % 34.52/34.97 (step @p360 :rule trans :premises (@p359 @p358)) % 34.52/34.97 (step @p361 :rule nary_cong :premises (@p360 @p356) :args ((or (not @t134) @t133))) % 34.52/34.97 (step @p362 :rule trans :premises (@p361 @p355)) % 34.52/34.97 (step @p363 :rule bool-impl-elim :args (@t134 @t133)) % 34.52/34.97 (step @p364 :rule trans :premises (@p363 @p362)) % 34.52/34.97 (step @p365 :rule cong :premises (@p364) :args (@t135)) % 34.52/34.97 (step @p366 :rule eq_resolve :premises (@p51 @p365)) % 34.52/34.97 (step @p367 :rule instantiate :premises (@p366) :args (@t235)) % 34.52/34.97 (step @p368 :rule bool-impl-elim :args (@t87 @t94)) % 34.52/34.97 (step @p369 :rule cong :premises (@p368) :args (@t95)) % 34.52/34.97 (step @p370 :rule eq_resolve :premises (@p29 @p369)) % 34.52/34.97 (step @p371 :rule instantiate :premises (@p370) :args (@t235)) % 34.52/34.97 (step @p372 :rule cnf_and_pos :args (@t249 0)) % 34.52/34.97 (step @p373 :rule reordering :premises (@p372) :args ((or @t248 @t252))) % 34.52/34.97 (step @p374 :rule chain_m_resolution :premises (@p373 @p245) :args (@t248 @t253 @t254)) % 34.52/34.97 (step @p375 :rule cnf_or_pos :args (@t301)) % 34.52/34.97 (step @p376 :rule reordering :premises (@p375) :args ((or @t300 @t299 (not @t301)))) % 34.52/34.97 (step @p377 :rule chain_m_resolution :premises (@p376 @p374 @p371) :args (@t299 @t251 (@list @t248 @t301))) % 34.52/34.97 (step @p378 :rule cnf_or_pos :args (@t305)) % 34.52/34.97 (step @p379 :rule reordering :premises (@p378) :args ((or @t243 @t304 @t303 (not @t305)))) % 34.52/34.97 (step @p380 :rule chain_m_resolution :premises (@p379 @p250 @p377 @p367) :args (@t303 @t258 (@list @t243 @t299 @t305))) % 34.52/34.97 (step @p381 :rule cnf_or_pos :args (@t310)) % 34.52/34.97 (step @p382 :rule reordering :premises (@p381) :args ((or @t302 @t309 @t308 @t307 (not @t310)))) % 34.52/34.97 (step @p383 :rule chain_m_resolution :premises (@p382 @p380 @p354 @p271 @p121) :args (@t307 @t286 (@list @t302 @t297 @t268 @t310))) % 34.52/34.97 (step @p384 :rule cnf_or_neg :args (@t244 4)) % 34.52/34.97 (step @p385 :rule chain_m_resolution :premises (@p384 @p235) :args ((not @t237) @t245 @t246)) % 34.52/34.97 (step @p386 :rule cnf_equiv_pos2 :args (@t307)) % 34.52/34.97 (step @p387 :rule reordering :premises (@p386) :args ((or @t237 @t311 (not @t307)))) % 34.52/34.97 (step @p388 :rule chain_m_resolution :premises (@p387 @p385 @p383) :args (@t311 (@list true false) (@list @t237 @t307))) % 34.52/34.97 (step @p389 :rule false_intro :premises (@p388)) % 34.52/34.97 (step @p390 :rule aci_norm :args ((= @t317 (or @t10 @t192 @t191 @t315 @t314)))) % 34.52/34.97 (step @p391 :rule cong :premises (@p390) :args (@t318)) % 34.52/34.97 (step @p392 :rule quant-merge-prenex :args ((= (forall @t13 @t320) @t318))) % 34.52/34.97 (step @p393 :rule alpha_equiv :args (@t321 (@list @t312) @t208)) % 34.52/34.97 (step @p394 :rule nary_cong :premises (@p128 @p127 @p126 @p393) :args (@t322)) % 34.52/34.97 (step @p395 :rule quant-miniscope-or :args ((= @t320 @t322))) % 34.52/34.97 (step @p396 :rule trans :premises (@p395 @p394)) % 34.52/34.97 (step @p397 :rule symm :premises (@p396)) % 34.52/34.97 (step @p398 :rule cong :premises (@p397) :args ((forall @t13 @t325))) % 34.52/34.97 (step @p399 :rule trans :premises (@p398 @p392)) % 34.52/34.97 (step @p400 :rule trans :premises (@p399 @p391)) % 34.52/34.97 (step @p401 :rule aci_norm :args ((= (or @t212 @t324) @t325))) % 34.52/34.97 (step @p402 :rule refl :args (@t324)) % 34.52/34.97 (step @p403 :rule nary_cong :premises (@p147 @p402) :args ((or @t215 @t324))) % 34.52/34.97 (step @p404 :rule trans :premises (@p403 @p401)) % 34.52/34.97 (step @p405 :rule bool-impl-elim :args (@t12 @t324)) % 34.52/34.97 (step @p406 :rule trans :premises (@p405 @p404)) % 34.52/34.97 (step @p407 :rule cong :premises (@p406) :args ((forall @t13 (=> @t12 @t324)))) % 34.52/34.97 (step @p408 :rule trans :premises (@p407 @p400)) % 34.52/34.97 (step @p409 :rule bool-impl-elim :args (@t53 @t323)) % 34.52/34.97 (step @p410 :rule cong :premises (@p409) :args ((forall @t54 (=> @t53 @t323)))) % 34.52/34.97 (step @p411 :rule eq-symm :args (@t173 @t84)) % 34.52/34.97 (step @p412 :rule refl :args (@t174)) % 34.52/34.97 (step @p413 :rule nary_cong :premises (@p412 @p411) :args (@t175)) % 34.52/34.97 (step @p414 :rule refl :args (@t53)) % 34.52/34.97 (step @p415 :rule cong :premises (@p414 @p413) :args (@t176)) % 34.52/34.97 (step @p416 :rule cong :premises (@p415) :args (@t177)) % 34.52/34.97 (step @p417 :rule trans :premises (@p416 @p410)) % 34.52/34.97 (step @p418 :rule cong :premises (@p156 @p417) :args (@t178)) % 34.52/34.97 (step @p419 :rule cong :premises (@p418) :args (@t179)) % 34.52/34.97 (step @p420 :rule trans :premises (@p419 @p408)) % 34.52/34.97 (step @p421 :rule eq_resolve :premises (@p92 @p420)) % 34.52/34.97 (step @p422 :rule instantiate :premises (@p421) :args (@t233)) % 34.52/34.97 (step @p423 :rule cnf_or_pos :args (@t330)) % 34.52/34.97 (step @p424 :rule reordering :premises (@p423) :args ((or @t243 @t242 @t240 @t260 @t329 (not @t330)))) % 34.52/34.97 (step @p425 :rule chain_m_resolution :premises (@p424 @p250 @p259 @p242 @p253 @p422) :args (@t329 @t262 (@list @t243 @t241 @t236 @t255 @t330))) % 34.52/34.97 (step @p426 :rule cnf_and_pos :args (@t329 0)) % 34.52/34.97 (step @p427 :rule reordering :premises (@p426) :args ((or @t328 (not @t329)))) % 34.52/34.97 (step @p428 :rule chain_m_resolution :premises (@p427 @p425) :args (@t328 @t253 (@list @t329))) % 34.52/34.97 (step @p429 :rule symm :premises (@p428)) % 34.52/34.97 (step @p430 :rule aci_norm :args ((= @t335 (or @t10 @t192 @t191 @t333 @t332)))) % 34.52/34.97 (step @p431 :rule cong :premises (@p430) :args (@t336)) % 34.52/34.97 (step @p432 :rule quant-merge-prenex :args ((= (forall @t13 @t338) @t336))) % 34.52/34.97 (step @p433 :rule alpha_equiv :args (@t339 (@list @t331) @t208)) % 34.52/34.97 (step @p434 :rule nary_cong :premises (@p128 @p127 @p126 @p433) :args (@t340)) % 34.52/34.97 (step @p435 :rule quant-miniscope-or :args ((= @t338 @t340))) % 34.52/34.97 (step @p436 :rule trans :premises (@p435 @p434)) % 34.52/34.97 (step @p437 :rule symm :premises (@p436)) % 34.52/34.97 (step @p438 :rule cong :premises (@p437) :args ((forall @t13 @t343))) % 34.52/34.97 (step @p439 :rule trans :premises (@p438 @p432)) % 34.52/34.97 (step @p440 :rule trans :premises (@p439 @p431)) % 34.52/34.97 (step @p441 :rule aci_norm :args ((= (or @t212 @t342) @t343))) % 34.52/34.97 (step @p442 :rule refl :args (@t342)) % 34.52/34.97 (step @p443 :rule nary_cong :premises (@p147 @p442) :args ((or @t215 @t342))) % 34.52/34.97 (step @p444 :rule trans :premises (@p443 @p441)) % 34.52/34.97 (step @p445 :rule bool-impl-elim :args (@t12 @t342)) % 34.52/34.97 (step @p446 :rule trans :premises (@p445 @p444)) % 34.52/34.97 (step @p447 :rule cong :premises (@p446) :args ((forall @t13 (=> @t12 @t342)))) % 34.52/34.97 (step @p448 :rule trans :premises (@p447 @p440)) % 34.52/34.97 (step @p449 :rule bool-impl-elim :args (@t53 @t341)) % 34.52/34.97 (step @p450 :rule cong :premises (@p449) :args ((forall @t54 (=> @t53 @t341)))) % 34.52/34.97 (step @p451 :rule eq-symm :args (@t55 @t22)) % 34.52/34.97 (step @p452 :rule cong :premises (@p414 @p451) :args (@t56)) % 34.52/34.97 (step @p453 :rule cong :premises (@p452) :args (@t57)) % 34.52/34.97 (step @p454 :rule trans :premises (@p453 @p450)) % 34.52/34.97 (step @p455 :rule cong :premises (@p156 @p454) :args (@t58)) % 34.52/34.97 (step @p456 :rule cong :premises (@p455) :args (@t59)) % 34.52/34.97 (step @p457 :rule trans :premises (@p456 @p448)) % 34.52/34.97 (step @p458 :rule eq_resolve :premises (@p14 @p457)) % 34.52/34.97 (step @p459 :rule instantiate :premises (@p458) :args (@t233)) % 34.52/34.97 (step @p460 :rule cnf_or_pos :args (@t345)) % 34.52/34.97 (step @p461 :rule reordering :premises (@p460) :args ((or @t243 @t242 @t240 @t260 @t344 (not @t345)))) % 34.52/34.97 (step @p462 :rule chain_m_resolution :premises (@p461 @p250 @p259 @p242 @p253 @p459) :args (@t344 @t262 (@list @t243 @t241 @t236 @t255 @t345))) % 34.52/34.97 (step @p463 :rule aci_norm :args ((= (or (or @t10 @t192 @t190 @t191) @t183) (or @t10 @t192 @t190 @t191 @t183)))) % 34.52/34.97 (step @p464 :rule refl :args (@t183)) % 34.52/34.97 (step @p465 :rule refl :args (@t190)) % 34.52/34.97 (step @p466 :rule nary_cong :premises (@p138 @p127 @p465 @p126) :args (@t346)) % 34.52/34.97 (step @p467 :rule aci_norm :args ((= (or @t213 (or @t192 (or @t190 @t191))) @t346))) % 34.52/34.97 (step @p468 :rule trans :premises (@p467 @p466)) % 34.52/34.97 (step @p469 :rule bool-and-de-morgan :args (@t6 @t8 true)) % 34.52/34.97 (step @p470 :rule nary_cong :premises (@p127 @p469) :args ((or @t192 (not (and @t6 @t8))))) % 34.52/34.97 (step @p471 :rule bool-and-de-morgan :args (@t9 @t6 (and @t8))) % 34.52/34.97 (step @p472 :rule trans :premises (@p471 @p470)) % 34.52/34.97 (step @p473 :rule nary_cong :premises (@p143 @p472) :args ((or @t213 (not (and @t9 @t6 @t8))))) % 34.52/34.97 (step @p474 :rule bool-and-de-morgan :args (@t11 @t9 (and @t6 @t8))) % 34.52/34.97 (step @p475 :rule trans :premises (@p474 @p473)) % 34.52/34.97 (step @p476 :rule trans :premises (@p475 @p468)) % 34.52/34.97 (step @p477 :rule nary_cong :premises (@p476 @p464) :args ((or (not @t184) @t183))) % 34.52/34.97 (step @p478 :rule trans :premises (@p477 @p463)) % 34.52/34.97 (step @p479 :rule bool-impl-elim :args (@t184 @t183)) % 34.52/34.97 (step @p480 :rule trans :premises (@p479 @p478)) % 34.52/34.97 (step @p481 :rule cong :premises (@p480) :args (@t185)) % 34.52/34.97 (step @p482 :rule eq_resolve :premises (@p98 @p481)) % 34.52/34.97 (step @p483 :rule instantiate :premises (@p482) :args (@t235)) % 34.52/34.97 (step @p484 :rule bool-double-not-elim :args (@t238)) % 34.52/34.97 (step @p485 :rule nary_cong :premises (@p237 @p484) :args ((or @t244 (not @t239)))) % 34.52/34.97 (step @p486 :rule cnf_or_neg :args (@t244 3)) % 34.52/34.97 (step @p487 :rule eq_resolve :premises (@p486 @p485)) % 34.52/34.97 (step @p488 :rule reordering :premises (@p487) :args ((or @t238 @t244))) % 34.52/34.97 (step @p489 :rule chain_m_resolution :premises (@p488 @p235) :args (@t238 @t245 @t246)) % 34.52/34.97 (step @p490 :rule cnf_or_pos :args (@t349)) % 34.52/34.97 (step @p491 :rule reordering :premises (@p490) :args ((or @t243 @t242 @t240 @t239 @t348 (not @t349)))) % 34.52/34.97 (step @p492 :rule chain_m_resolution :premises (@p491 @p250 @p259 @p242 @p489 @p483) :args (@t348 @t262 (@list @t243 @t241 @t236 @t238 @t349))) % 34.52/34.97 (step @p493 :rule symm :premises (@p492)) % 34.52/34.97 (step @p494 :rule trans :premises (@p493 @p462)) % 34.52/34.97 (step @p495 :rule refl :args (@t327)) % 34.52/34.97 (step @p496 :rule cong :premises (@p495 @p494) :args (@t350)) % 34.52/34.97 (step @p497 :rule aci_norm :args ((= (or @t230 @t351) (or @t10 @t192 @t191 @t229 @t351)))) % 34.52/34.97 (step @p498 :rule refl :args (@t351)) % 34.52/34.97 (step @p499 :rule nary_cong :premises (@p201 @p498) :args ((or @t232 @t351))) % 34.52/34.97 (step @p500 :rule trans :premises (@p499 @p497)) % 34.52/34.97 (step @p501 :rule bool-impl-elim :args (@t76 @t351)) % 34.52/34.97 (step @p502 :rule trans :premises (@p501 @p500)) % 34.52/34.97 (step @p503 :rule cong :premises (@p502) :args ((forall @t24 (=> @t76 @t351)))) % 34.52/34.97 (step @p504 :rule eq-symm :args (@t84 @t52)) % 34.52/34.97 (step @p505 :rule refl :args (@t76)) % 34.52/34.97 (step @p506 :rule cong :premises (@p505 @p504) :args (@t159)) % 34.52/34.97 (step @p507 :rule cong :premises (@p506) :args (@t160)) % 34.52/34.97 (step @p508 :rule trans :premises (@p507 @p503)) % 34.52/34.97 (step @p509 :rule eq_resolve :premises (@p79 @p508)) % 34.52/34.97 (step @p510 :rule instantiate :premises (@p509) :args ((@list @t327 @t347))) % 34.52/34.97 (step @p511 :rule aci_norm :args ((= (or (or @t10 @t352) @t86) (or @t10 @t352 @t86)))) % 34.52/34.97 (step @p512 :rule refl :args (@t86)) % 34.52/34.97 (step @p513 :rule refl :args (@t352)) % 34.52/34.97 (step @p514 :rule nary_cong :premises (@p138 @p513) :args ((or @t213 @t352))) % 34.52/34.97 (step @p515 :rule bool-and-de-morgan :args (@t11 @t87 true)) % 34.52/34.97 (step @p516 :rule trans :premises (@p515 @p514)) % 34.52/34.97 (step @p517 :rule nary_cong :premises (@p516 @p512) :args ((or (not @t88) @t86))) % 34.52/34.97 (step @p518 :rule trans :premises (@p517 @p511)) % 34.52/34.97 (step @p519 :rule bool-impl-elim :args (@t88 @t86)) % 34.52/34.97 (step @p520 :rule trans :premises (@p519 @p518)) % 34.52/34.97 (step @p521 :rule cong :premises (@p520) :args (@t89)) % 34.52/34.97 (step @p522 :rule eq_resolve :premises (@p27 @p521)) % 34.52/34.97 (step @p523 :rule instantiate :premises (@p522) :args (@t353)) % 34.52/34.97 (step @p524 :rule instantiate :premises (@p224) :args ((@list @t356))) % 34.52/34.97 (step @p525 :rule aci_norm :args ((= (or @t363 @t65) (or @t362 @t361 @t360 @t359 @t358 @t357 @t65)))) % 34.52/34.97 (step @p526 :rule refl :args (@t65)) % 34.52/34.97 (step @p527 :rule aci_norm :args ((= (or @t362 (or @t361 (or @t360 (or @t359 (or @t358 @t357))))) @t363))) % 34.52/34.97 (step @p528 :rule bool-and-de-morgan :args (@t68 @t67 true)) % 34.52/34.97 (step @p529 :rule refl :args (@t359)) % 34.52/34.97 (step @p530 :rule nary_cong :premises (@p529 @p528) :args ((or @t359 (not (and @t68 @t67))))) % 34.52/34.97 (step @p531 :rule bool-and-de-morgan :args (@t69 @t68 (and @t67))) % 34.52/34.97 (step @p532 :rule trans :premises (@p531 @p530)) % 34.52/34.97 (step @p533 :rule refl :args (@t360)) % 34.52/34.97 (step @p534 :rule nary_cong :premises (@p533 @p532) :args ((or @t360 (not (and @t69 @t68 @t67))))) % 34.52/34.97 (step @p535 :rule bool-and-de-morgan :args (@t70 @t69 (and @t68 @t67))) % 34.52/34.97 (step @p536 :rule trans :premises (@p535 @p534)) % 34.52/34.97 (step @p537 :rule refl :args (@t361)) % 34.52/34.97 (step @p538 :rule nary_cong :premises (@p537 @p536) :args ((or @t361 (not (and @t70 @t69 @t68 @t67))))) % 34.52/34.97 (step @p539 :rule bool-and-de-morgan :args (@t71 @t70 (and @t69 @t68 @t67))) % 34.52/34.97 (step @p540 :rule trans :premises (@p539 @p538)) % 34.52/34.97 (step @p541 :rule refl :args (@t362)) % 34.52/34.97 (step @p542 :rule nary_cong :premises (@p541 @p540) :args ((or @t362 (not (and @t71 @t70 @t69 @t68 @t67))))) % 34.52/34.97 (step @p543 :rule bool-and-de-morgan :args (@t72 @t71 (and @t70 @t69 @t68 @t67))) % 34.52/34.97 (step @p544 :rule trans :premises (@p543 @p542)) % 34.52/34.97 (step @p545 :rule trans :premises (@p544 @p527)) % 34.52/34.97 (step @p546 :rule nary_cong :premises (@p545 @p526) :args ((or @t364 @t65))) % 34.52/34.97 (step @p547 :rule trans :premises (@p546 @p525)) % 34.52/34.97 (step @p548 :rule bool-impl-elim :args (@t73 @t65)) % 34.52/34.97 (step @p549 :rule trans :premises (@p548 @p547)) % 34.52/34.97 (step @p550 :rule cong :premises (@p549) :args (@t74)) % 34.52/34.97 (step @p551 :rule eq_resolve :premises (@p17 @p550)) % 34.52/34.97 (step @p552 :rule instantiate :premises (@p551) :args ((@list @t198 @t355 @t354))) % 34.52/34.97 (step @p553 :rule instantiate :premises (@p81) :args ((@list @t365 @t198 @t354))) % 34.52/34.97 (step @p554 :rule bool-impl-elim :args (@t91 @t125)) % 34.52/34.97 (step @p555 :rule cong :premises (@p554) :args (@t126)) % 34.52/34.97 (step @p556 :rule eq_resolve :premises (@p38 @p555)) % 34.52/34.97 (step @p557 :rule instantiate :premises (@p556) :args (@t235)) % 34.52/34.97 (step @p558 :rule cnf_or_pos :args (@t370)) % 34.52/34.97 (step @p559 :rule reordering :premises (@p558) :args ((or @t256 @t369 (not @t370)))) % 34.52/34.97 (step @p560 :rule chain_m_resolution :premises (@p559 @p248 @p557) :args (@t369 @t251 (@list @t247 @t370))) % 34.52/34.97 (step @p561 :rule cnf_and_pos :args (@t369 2)) % 34.52/34.97 (step @p562 :rule reordering :premises (@p561) :args ((or @t366 @t371))) % 34.52/34.97 (step @p563 :rule chain_m_resolution :premises (@p562 @p560) :args (@t366 @t253 @t372)) % 34.52/34.97 (step @p564 :rule cnf_equiv_pos1 :args (@t374)) % 34.52/34.97 (step @p565 :rule reordering :premises (@p564) :args ((or (not @t366) @t373 (not @t374)))) % 34.52/34.97 (step @p566 :rule chain_m_resolution :premises (@p565 @p563 @p553) :args (@t373 @t251 (@list @t366 @t374))) % 34.52/34.97 (step @p567 :rule instantiate :premises (@p81) :args ((@list @t365 @t198 @t355))) % 34.52/34.97 (step @p568 :rule bool-impl-elim :args (@t87 @t121)) % 34.52/34.97 (step @p569 :rule cong :premises (@p568) :args (@t122)) % 34.52/34.97 (step @p570 :rule eq_resolve :premises (@p37 @p569)) % 34.52/34.97 (step @p571 :rule instantiate :premises (@p570) :args (@t235)) % 34.52/34.97 (step @p572 :rule cnf_or_pos :args (@t379)) % 34.52/34.97 (step @p573 :rule reordering :premises (@p572) :args ((or @t300 @t378 (not @t379)))) % 34.52/34.97 (step @p574 :rule chain_m_resolution :premises (@p573 @p374 @p571) :args (@t378 @t251 (@list @t248 @t379))) % 34.52/34.97 (step @p575 :rule cnf_and_pos :args (@t378 2)) % 34.52/34.97 (step @p576 :rule reordering :premises (@p575) :args ((or @t375 @t380))) % 34.52/34.97 (step @p577 :rule chain_m_resolution :premises (@p576 @p574) :args (@t375 @t253 @t381)) % 34.52/34.97 (step @p578 :rule cnf_equiv_pos1 :args (@t383)) % 34.52/34.97 (step @p579 :rule reordering :premises (@p578) :args ((or (not @t375) @t382 (not @t383)))) % 34.52/34.97 (step @p580 :rule chain_m_resolution :premises (@p579 @p577 @p567) :args (@t382 @t251 (@list @t375 @t383))) % 34.52/34.97 (step @p581 :rule cnf_and_pos :args (@t369 1)) % 34.52/34.97 (step @p582 :rule reordering :premises (@p581) :args ((or @t367 @t371))) % 34.52/34.97 (step @p583 :rule chain_m_resolution :premises (@p582 @p560) :args (@t367 @t253 @t372)) % 34.52/34.97 (step @p584 :rule cnf_and_pos :args (@t369 0)) % 34.52/34.97 (step @p585 :rule reordering :premises (@p584) :args ((or @t368 @t371))) % 34.52/34.97 (step @p586 :rule chain_m_resolution :premises (@p585 @p560) :args (@t368 @t253 @t372)) % 34.52/34.97 (step @p587 :rule cnf_and_pos :args (@t378 1)) % 34.52/34.97 (step @p588 :rule reordering :premises (@p587) :args ((or @t376 @t380))) % 34.52/34.97 (step @p589 :rule chain_m_resolution :premises (@p588 @p574) :args (@t376 @t253 @t381)) % 34.52/34.97 (step @p590 :rule cnf_and_pos :args (@t378 0)) % 34.52/34.97 (step @p591 :rule reordering :premises (@p590) :args ((or @t377 @t380))) % 34.52/34.97 (step @p592 :rule chain_m_resolution :premises (@p591 @p574) :args (@t377 @t253 @t381)) % 34.52/34.97 (step @p593 :rule cnf_or_pos :args (@t392)) % 34.52/34.97 (step @p594 :rule reordering :premises (@p593) :args ((or @t391 @t390 @t388 @t387 @t389 @t386 @t385 (not @t392)))) % 34.52/34.97 (step @p595 :rule chain_m_resolution :premises (@p594 @p592 @p589 @p586 @p583 @p580 @p566 @p552) :args (@t385 (@list false false false false false false false) (@list @t377 @t376 @t368 @t367 @t382 @t373 @t392))) % 34.52/34.97 (step @p596 :rule cnf_and_pos :args (@t385 1)) % 34.52/34.97 (step @p597 :rule reordering :premises (@p596) :args ((or @t384 (not @t385)))) % 34.52/34.97 (step @p598 :rule chain_m_resolution :premises (@p597 @p595) :args (@t384 @t253 (@list @t385))) % 34.52/34.97 (step @p599 :rule cnf_or_pos :args (@t396)) % 34.52/34.97 (step @p600 :rule reordering :premises (@p599) :args ((or @t395 @t394 (not @t396)))) % 34.52/34.97 (step @p601 :rule chain_m_resolution :premises (@p600 @p598 @p524) :args (@t394 @t251 (@list @t384 @t396))) % 34.52/34.97 (step @p602 :rule cnf_and_pos :args (@t394 0)) % 34.52/34.97 (step @p603 :rule reordering :premises (@p602) :args ((or @t393 (not @t394)))) % 34.52/34.97 (step @p604 :rule chain_m_resolution :premises (@p603 @p601) :args (@t393 @t253 (@list @t394))) % 34.52/34.97 (step @p605 :rule true_intro :premises (@p604)) % 34.52/34.97 (step @p606 :rule bool-impl-elim :args (@t8 @t50)) % 34.52/34.97 (step @p607 :rule cong :premises (@p606) :args (@t51)) % 34.52/34.97 (step @p608 :rule eq_resolve :premises (@p12 @p607)) % 34.52/34.97 (step @p609 :rule instantiate :premises (@p608) :args (@t235)) % 34.52/34.97 (step @p610 :rule cnf_or_pos :args (@t398)) % 34.52/34.97 (step @p611 :rule reordering :premises (@p610) :args ((or @t240 @t397 (not @t398)))) % 34.52/34.97 (step @p612 :rule chain_m_resolution :premises (@p611 @p242 @p609) :args (@t397 @t251 (@list @t236 @t398))) % 34.52/34.97 (step @p613 :rule cong :premises (@p612) :args (@t399)) % 34.52/34.97 (step @p614 :rule trans :premises (@p613 @p605)) % 34.52/34.97 (step @p615 :rule true_elim :premises (@p614)) % 34.52/34.97 (step @p616 :rule aci_norm :args ((= (or (or @t10 @t191) @t130) (or @t10 @t191 @t130)))) % 34.52/34.97 (step @p617 :rule refl :args (@t130)) % 34.52/34.97 (step @p618 :rule nary_cong :premises (@p138 @p126) :args ((or @t213 @t191))) % 34.52/34.97 (step @p619 :rule bool-and-de-morgan :args (@t11 @t8 true)) % 34.52/34.97 (step @p620 :rule trans :premises (@p619 @p618)) % 34.52/34.97 (step @p621 :rule nary_cong :premises (@p620 @p617) :args ((or (not @t131) @t130))) % 34.52/34.97 (step @p622 :rule trans :premises (@p621 @p616)) % 34.52/34.97 (step @p623 :rule bool-impl-elim :args (@t131 @t130)) % 34.52/34.97 (step @p624 :rule trans :premises (@p623 @p622)) % 34.52/34.97 (step @p625 :rule cong :premises (@p624) :args (@t132)) % 34.52/34.97 (step @p626 :rule eq_resolve :premises (@p50 @p625)) % 34.52/34.97 (step @p627 :rule instantiate :premises (@p626) :args (@t235)) % 34.52/34.97 (step @p628 :rule cnf_or_pos :args (@t404)) % 34.52/34.97 (step @p629 :rule reordering :premises (@p628) :args ((or @t243 @t240 @t403 (not @t404)))) % 34.52/34.97 (step @p630 :rule chain_m_resolution :premises (@p629 @p250 @p242 @p627) :args (@t403 @t258 (@list @t243 @t236 @t404))) % 34.52/34.97 (step @p631 :rule cnf_and_pos :args (@t403 0)) % 34.52/34.97 (step @p632 :rule reordering :premises (@p631) :args ((or @t402 @t405))) % 34.52/34.97 (step @p633 :rule chain_m_resolution :premises (@p632 @p630) :args (@t402 @t253 @t406)) % 34.52/34.97 (step @p634 :rule cnf_or_pos :args (@t410)) % 34.52/34.97 (step @p635 :rule reordering :premises (@p634) :args ((or @t401 @t409 @t408 (not @t410)))) % 34.52/34.97 (step @p636 :rule chain_m_resolution :premises (@p635 @p633 @p615 @p523) :args (@t408 @t258 (@list @t401 @t399 @t410))) % 34.52/34.97 (step @p637 :rule bool-impl-elim :args (@t8 @t82)) % 34.52/34.97 (step @p638 :rule cong :premises (@p637) :args (@t83)) % 34.52/34.97 (step @p639 :rule eq_resolve :premises (@p22 @p638)) % 34.52/34.97 (step @p640 :rule instantiate :premises (@p639) :args (@t235)) % 34.52/34.97 (step @p641 :rule cnf_or_pos :args (@t413)) % 34.52/34.97 (step @p642 :rule reordering :premises (@p641) :args ((or @t240 @t412 (not @t413)))) % 34.52/34.97 (step @p643 :rule chain_m_resolution :premises (@p642 @p242 @p640) :args (@t412 @t251 (@list @t236 @t413))) % 34.52/34.97 (step @p644 :rule cnf_and_pos :args (@t412 1)) % 34.52/34.97 (step @p645 :rule reordering :premises (@p644) :args ((or @t411 (not @t412)))) % 34.52/34.97 (step @p646 :rule chain_m_resolution :premises (@p645 @p643) :args (@t411 @t253 (@list @t412))) % 34.52/34.97 (step @p647 :rule aci_norm :args ((= (or @t212 @t142) (or @t10 @t192 @t191 @t142)))) % 34.52/34.97 (step @p648 :rule refl :args (@t142)) % 34.52/34.97 (step @p649 :rule nary_cong :premises (@p147 @p648) :args ((or @t215 @t142))) % 34.52/34.97 (step @p650 :rule trans :premises (@p649 @p647)) % 34.52/34.97 (step @p651 :rule bool-impl-elim :args (@t12 @t142)) % 34.52/34.97 (step @p652 :rule trans :premises (@p651 @p650)) % 34.52/34.97 (step @p653 :rule cong :premises (@p652) :args (@t143)) % 34.52/34.97 (step @p654 :rule eq_resolve :premises (@p60 @p653)) % 34.52/34.97 (step @p655 :rule instantiate :premises (@p654) :args (@t235)) % 34.52/34.97 (step @p656 :rule cnf_or_pos :args (@t416)) % 34.52/34.97 (step @p657 :rule reordering :premises (@p656) :args ((or @t243 @t242 @t240 @t415 (not @t416)))) % 34.52/34.97 (step @p658 :rule chain_m_resolution :premises (@p657 @p250 @p259 @p242 @p655) :args (@t415 @t286 (@list @t243 @t241 @t236 @t416))) % 34.52/34.97 (step @p659 :rule cnf_and_pos :args (@t415 8)) % 34.52/34.97 (step @p660 :rule reordering :premises (@p659) :args ((or @t414 (not @t415)))) % 34.52/34.97 (step @p661 :rule chain_m_resolution :premises (@p660 @p658) :args (@t414 @t253 (@list @t415))) % 34.52/34.97 (step @p662 :rule cnf_or_pos :args (@t422)) % 34.52/34.97 (step @p663 :rule reordering :premises (@p662) :args ((or @t401 @t421 @t420 @t419 @t418 (not @t422)))) % 34.52/34.97 (step @p664 :rule chain_m_resolution :premises (@p663 @p633 @p661 @p646 @p636 @p510) :args (@t418 @t262 (@list @t401 @t414 @t411 @t408 @t422))) % 34.52/34.97 (step @p665 :rule aci_norm :args ((= (or @t212 @t424) (or @t10 @t192 @t191 @t423 @t168)))) % 34.52/34.97 (step @p666 :rule aci_norm :args ((= (or (or @t10 @t192 @t423 @t191) @t168) @t424))) % 34.52/34.97 (step @p667 :rule refl :args (@t168)) % 34.52/34.97 (step @p668 :rule refl :args (@t423)) % 34.52/34.97 (step @p669 :rule nary_cong :premises (@p138 @p127 @p668 @p126) :args (@t425)) % 34.52/34.97 (step @p670 :rule aci_norm :args ((= (or @t213 (or @t192 (or @t423 @t191))) @t425))) % 34.52/34.97 (step @p671 :rule trans :premises (@p670 @p669)) % 34.52/34.97 (step @p672 :rule bool-and-de-morgan :args (@t44 @t8 true)) % 34.52/34.97 (step @p673 :rule nary_cong :premises (@p127 @p672) :args ((or @t192 (not (and @t44 @t8))))) % 34.52/34.97 (step @p674 :rule bool-and-de-morgan :args (@t9 @t44 (and @t8))) % 34.52/34.97 (step @p675 :rule trans :premises (@p674 @p673)) % 34.52/34.97 (step @p676 :rule nary_cong :premises (@p143 @p675) :args ((or @t213 (not (and @t9 @t44 @t8))))) % 34.52/34.97 (step @p677 :rule bool-and-de-morgan :args (@t11 @t9 (and @t44 @t8))) % 34.52/34.97 (step @p678 :rule trans :premises (@p677 @p676)) % 34.52/34.97 (step @p679 :rule trans :premises (@p678 @p671)) % 34.52/34.97 (step @p680 :rule nary_cong :premises (@p679 @p667) :args ((or (not @t169) @t168))) % 34.52/34.97 (step @p681 :rule trans :premises (@p680 @p666)) % 34.52/34.97 (step @p682 :rule bool-impl-elim :args (@t169 @t168)) % 34.52/34.97 (step @p683 :rule trans :premises (@p682 @p681)) % 34.52/34.97 (step @p684 :rule nary_cong :premises (@p147 @p683) :args ((or @t215 @t170))) % 34.52/34.97 (step @p685 :rule trans :premises (@p684 @p665)) % 34.52/34.97 (step @p686 :rule bool-impl-elim :args (@t12 @t170)) % 34.52/34.97 (step @p687 :rule trans :premises (@p686 @p685)) % 34.52/34.97 (step @p688 :rule cong :premises (@p687) :args (@t171)) % 34.52/34.97 (step @p689 :rule eq_resolve :premises (@p89 @p688)) % 34.52/34.97 (step @p690 :rule instantiate :premises (@p689) :args (@t353)) % 34.52/34.97 (step @p691 :rule aci_norm :args ((= (or @t212 @t181) (or @t10 @t192 @t191 @t181)))) % 34.52/34.97 (step @p692 :rule refl :args (@t181)) % 34.52/34.97 (step @p693 :rule nary_cong :premises (@p147 @p692) :args ((or @t215 @t181))) % 34.52/34.97 (step @p694 :rule trans :premises (@p693 @p691)) % 34.52/34.97 (step @p695 :rule bool-impl-elim :args (@t12 @t181)) % 34.52/34.97 (step @p696 :rule trans :premises (@p695 @p694)) % 34.52/34.97 (step @p697 :rule cong :premises (@p696) :args (@t182)) % 34.52/34.97 (step @p698 :rule eq_resolve :premises (@p96 @p697)) % 34.52/34.97 (step @p699 :rule instantiate :premises (@p698) :args (@t235)) % 34.52/34.97 (step @p700 :rule cnf_or_pos :args (@t428)) % 34.52/34.97 (step @p701 :rule reordering :premises (@p700) :args ((or @t243 @t242 @t240 @t427 (not @t428)))) % 34.52/34.97 (step @p702 :rule chain_m_resolution :premises (@p701 @p250 @p259 @p242 @p699) :args (@t427 @t286 (@list @t243 @t241 @t236 @t428))) % 34.52/34.97 (step @p703 :rule cnf_equiv_pos1 :args (@t427)) % 34.52/34.97 (step @p704 :rule reordering :premises (@p703) :args ((or @t239 @t426 (not @t427)))) % 34.52/34.97 (step @p705 :rule chain_m_resolution :premises (@p704 @p489 @p702) :args (@t426 @t251 (@list @t238 @t427))) % 34.52/34.97 (step @p706 :rule cnf_or_pos :args (@t432)) % 34.52/34.97 (step @p707 :rule reordering :premises (@p706) :args ((or @t401 @t421 @t431 @t420 @t430 (not @t432)))) % 34.52/34.97 (step @p708 :rule chain_m_resolution :premises (@p707 @p633 @p661 @p705 @p646 @p690) :args (@t430 @t262 (@list @t401 @t414 @t426 @t411 @t432))) % 34.52/34.97 (step @p709 :rule instantiate :premises (@p329) :args (@t353)) % 34.52/34.97 (step @p710 :rule cnf_or_pos :args (@t434)) % 34.52/34.97 (step @p711 :rule reordering :premises (@p710) :args ((or @t401 @t421 @t420 @t433 (not @t434)))) % 34.52/34.97 (step @p712 :rule chain_m_resolution :premises (@p711 @p633 @p661 @p646 @p709) :args (@t433 @t286 (@list @t401 @t414 @t411 @t434))) % 34.52/34.97 (step @p713 :rule trans :premises (@p712 @p708 @p664 @p496 @p429)) % 34.52/34.97 (step @p714 :rule cong :premises (@p349 @p713) :args (@t435)) % 34.52/34.97 (step @p715 :rule trans :premises (@p714 @p389)) % 34.52/34.97 (step @p716 :rule false_elim :premises (@p715)) % 34.52/34.97 (step @p717 :rule aci_norm :args ((= @t442 (or @t362 @t361 @t360 @t359 @t358 @t357 @t440 @t439)))) % 34.52/34.97 (step @p718 :rule cong :premises (@p717) :args (@t443)) % 34.52/34.97 (step @p719 :rule quant-merge-prenex :args ((= (forall @t38 @t445) @t443))) % 34.52/34.97 (step @p720 :rule alpha_equiv :args (@t446 (@list @t438 @t437 @t436) (@list @t144 @t151 @t150))) % 34.52/34.97 (step @p721 :rule refl :args (@t357)) % 34.52/34.97 (step @p722 :rule refl :args (@t358)) % 34.52/34.97 (step @p723 :rule nary_cong :premises (@p541 @p537 @p533 @p529 @p722 @p721 @p720) :args (@t447)) % 34.52/34.97 (step @p724 :rule quant-miniscope-or :args ((= @t445 @t447))) % 34.52/34.97 (step @p725 :rule trans :premises (@p724 @p723)) % 34.52/34.97 (step @p726 :rule symm :premises (@p725)) % 34.52/34.97 (step @p727 :rule cong :premises (@p726) :args ((forall @t38 @t449))) % 34.52/34.97 (step @p728 :rule trans :premises (@p727 @p719)) % 34.52/34.97 (step @p729 :rule trans :premises (@p728 @p718)) % 34.52/34.97 (step @p730 :rule aci_norm :args ((= (or @t363 @t448) @t449))) % 34.52/34.97 (step @p731 :rule refl :args (@t448)) % 34.52/34.97 (step @p732 :rule nary_cong :premises (@p545 @p731) :args ((or @t364 @t448))) % 34.52/34.97 (step @p733 :rule trans :premises (@p732 @p730)) % 34.52/34.97 (step @p734 :rule bool-impl-elim :args (@t73 @t448)) % 34.52/34.97 (step @p735 :rule trans :premises (@p734 @p733)) % 34.52/34.97 (step @p736 :rule cong :premises (@p735) :args ((forall @t38 (=> @t73 @t448)))) % 34.52/34.97 (step @p737 :rule trans :premises (@p736 @p729)) % 34.52/34.97 (step @p738 :rule bool-impl-elim :args (@t153 @t152)) % 34.52/34.97 (step @p739 :rule cong :premises (@p738) :args (@t155)) % 34.52/34.97 (step @p740 :rule refl :args (@t73)) % 34.52/34.97 (step @p741 :rule cong :premises (@p740 @p739) :args (@t156)) % 34.52/34.97 (step @p742 :rule cong :premises (@p741) :args (@t157)) % 34.52/34.97 (step @p743 :rule trans :premises (@p742 @p737)) % 34.52/34.97 (step @p744 :rule eq_resolve :premises (@p63 @p743)) % 34.52/34.97 (step @p745 :rule instantiate :premises (@p744) :args ((@list @t198 @t355 @t354 @t407 @t451 @t450))) % 34.52/34.97 (step @p746 :rule aci_norm :args ((= (or @t191 (or @t452 @t18)) (or @t191 @t452 @t18)))) % 34.52/34.97 (step @p747 :rule bool-impl-elim :args (@t19 @t18)) % 34.52/34.97 (step @p748 :rule nary_cong :premises (@p126 @p747) :args ((or @t191 @t20))) % 34.52/34.97 (step @p749 :rule trans :premises (@p748 @p746)) % 34.52/34.97 (step @p750 :rule bool-impl-elim :args (@t8 @t20)) % 34.52/34.97 (step @p751 :rule trans :premises (@p750 @p749)) % 34.52/34.97 (step @p752 :rule cong :premises (@p751) :args (@t21)) % 34.52/34.97 (step @p753 :rule eq_resolve :premises (@p2 @p752)) % 34.52/34.97 (step @p754 :rule instantiate :premises (@p753) :args (@t353)) % 34.52/34.97 (step @p755 :rule cnf_and_pos :args (@t403 1)) % 34.52/34.97 (step @p756 :rule reordering :premises (@p755) :args ((or @t400 @t405))) % 34.52/34.97 (step @p757 :rule chain_m_resolution :premises (@p756 @p630) :args (@t400 @t253 @t406)) % 34.52/34.97 (step @p758 :rule cnf_or_pos :args (@t456)) % 34.52/34.97 (step @p759 :rule reordering :premises (@p758) :args ((or @t455 @t420 @t454 (not @t456)))) % 34.52/34.97 (step @p760 :rule chain_m_resolution :premises (@p759 @p757 @p646 @p754) :args (@t454 (@list false false false) (@list @t400 @t411 @t456))) % 34.52/34.97 (step @p761 :rule symm :premises (@p612)) % 34.52/34.97 (step @p762 :rule trans :premises (@p761 @p760)) % 34.52/34.97 (step @p763 :rule cnf_or_pos :args (@t460)) % 34.52/34.97 (step @p764 :rule reordering :premises (@p763) :args ((or @t391 @t390 @t388 @t387 @t389 @t386 @t459 @t457 (not @t460)))) % 34.52/34.97 (step @p765 :rule chain_m_resolution :premises (@p764 @p592 @p589 @p586 @p583 @p580 @p566 @p762 @p745) :args (@t457 (@list false false false false false false false false) (@list @t377 @t376 @t368 @t367 @t382 @t373 @t458 @t460))) % 34.52/34.97 (step @p766 :rule cnf_and_pos :args (@t457 0)) % 34.52/34.97 (step @p767 :rule reordering :premises (@p766) :args ((or @t435 (not @t457)))) % 34.52/34.97 (step @p768 false :rule chain_m_resolution :premises (@p767 @p765 @p716) :args (false (@list false true) (@list @t457 @t435))) % 34.52/34.97 ) % 34.52/34.97 % SZS output end Proof % 34.52/34.97 % cvc5 exiting %------------------------------------------------------------------------------